id	sid	tid	token	lemma	pos
ejpam-6643	1	1	european	european	PROPN
ejpam-6643	1	2	journal	journal	PROPN
ejpam-6643	1	3	of	of	ADP
ejpam-6643	1	4	pure	pure	ADJ
ejpam-6643	1	5	and	and	CCONJ
ejpam-6643	1	6	applied	applied	ADJ
ejpam-6643	1	7	mathematics	mathematic	NOUN
ejpam-6643	1	8	2025	2025	NUM
ejpam-6643	1	9	,	,	PUNCT
ejpam-6643	1	10	vol	vol	NOUN
ejpam-6643	1	11	.	.	PROPN
ejpam-6643	1	12	18	18	NUM
ejpam-6643	1	13	,	,	PUNCT
ejpam-6643	1	14	issue	issue	NOUN
ejpam-6643	1	15	4	4	NUM
ejpam-6643	1	16	,	,	PUNCT
ejpam-6643	1	17	article	article	NOUN
ejpam-6643	1	18	number	number	NOUN
ejpam-6643	1	19	6643	6643	NUM
ejpam-6643	1	20	issn	issn	VERB
ejpam-6643	1	21	1307	1307	NUM
ejpam-6643	1	22	-	-	SYM
ejpam-6643	1	23	5543	5543	NUM
ejpam-6643	1	24	–	–	PUNCT
ejpam-6643	1	25	ejpam.com	ejpam.com	X
ejpam-6643	1	26	published	publish	VERB
ejpam-6643	1	27	by	by	ADP
ejpam-6643	1	28	new	new	PROPN
ejpam-6643	1	29	york	york	PROPN
ejpam-6643	1	30	business	business	PROPN
ejpam-6643	1	31	global	global	ADJ
ejpam-6643	1	32	soft	soft	ADJ
ejpam-6643	1	33	directed	direct	VERB
ejpam-6643	1	34	n	n	NOUN
ejpam-6643	1	35	-	-	PUNCT
ejpam-6643	1	36	superhypergraphs	superhypergraph	NOUN
ejpam-6643	1	37	with	with	ADP
ejpam-6643	1	38	some	some	DET
ejpam-6643	1	39	real	real	ADJ
ejpam-6643	1	40	-	-	PUNCT
ejpam-6643	1	41	world	world	NOUN
ejpam-6643	1	42	applications	application	NOUN
ejpam-6643	1	43	takaaki	takaaki	NOUN
ejpam-6643	1	44	fujita1,∗	fujita1,∗	PROPN
ejpam-6643	1	45	,	,	PUNCT
ejpam-6643	1	46	florentin	florentin	NOUN
ejpam-6643	1	47	smarandache2	smarandache2	PROPN
ejpam-6643	1	48	1	1	NUM
ejpam-6643	1	49	independent	independent	ADJ
ejpam-6643	1	50	researcher	researcher	NOUN
ejpam-6643	1	51	,	,	PUNCT
ejpam-6643	1	52	shinjuku	shinjuku	PROPN
ejpam-6643	1	53	,	,	PUNCT
ejpam-6643	1	54	shinjuku	shinjuku	PROPN
ejpam-6643	1	55	-	-	PUNCT
ejpam-6643	1	56	ku	ku	PROPN
ejpam-6643	1	57	,	,	PUNCT
ejpam-6643	1	58	tokyo	tokyo	PROPN
ejpam-6643	1	59	,	,	PUNCT
ejpam-6643	1	60	japan	japan	PROPN
ejpam-6643	1	61	.	.	PROPN
ejpam-6643	2	1	2	2	NUM
ejpam-6643	2	2	university	university	NOUN
ejpam-6643	2	3	of	of	ADP
ejpam-6643	2	4	new	new	PROPN
ejpam-6643	2	5	mexico	mexico	PROPN
ejpam-6643	2	6	,	,	PUNCT
ejpam-6643	2	7	gallup	gallup	PROPN
ejpam-6643	2	8	campus	campus	PROPN
ejpam-6643	2	9	,	,	PUNCT
ejpam-6643	2	10	nm	nm	PROPN
ejpam-6643	2	11	87301	87301	NUM
ejpam-6643	2	12	,	,	PUNCT
ejpam-6643	2	13	usa	usa	PROPN
ejpam-6643	2	14	.	.	PROPN
ejpam-6643	2	15	abstract	abstract	PROPN
ejpam-6643	2	16	.	.	PUNCT
ejpam-6643	3	1	graph	graph	NOUN
ejpam-6643	3	2	theory	theory	NOUN
ejpam-6643	3	3	offers	offer	VERB
ejpam-6643	3	4	a	a	DET
ejpam-6643	3	5	powerful	powerful	ADJ
ejpam-6643	3	6	language	language	NOUN
ejpam-6643	3	7	for	for	ADP
ejpam-6643	3	8	modeling	model	VERB
ejpam-6643	3	9	pairwise	pairwise	NOUN
ejpam-6643	3	10	relationships	relationship	NOUN
ejpam-6643	3	11	via	via	ADP
ejpam-6643	3	12	vertices	vertex	NOUN
ejpam-6643	3	13	and	and	CCONJ
ejpam-6643	3	14	edges	edge	NOUN
ejpam-6643	3	15	[	[	X
ejpam-6643	3	16	1	1	NUM
ejpam-6643	3	17	]	]	PUNCT
ejpam-6643	3	18	.	.	PUNCT
ejpam-6643	4	1	hypergraphs	hypergraph	NOUN
ejpam-6643	4	2	extend	extend	VERB
ejpam-6643	4	3	this	this	DET
ejpam-6643	4	4	framework	framework	NOUN
ejpam-6643	4	5	by	by	ADP
ejpam-6643	4	6	allowing	allow	VERB
ejpam-6643	4	7	hyperedges	hyperedge	NOUN
ejpam-6643	4	8	to	to	PART
ejpam-6643	4	9	join	join	VERB
ejpam-6643	4	10	arbitrary	arbitrary	ADJ
ejpam-6643	4	11	subsets	subset	NOUN
ejpam-6643	4	12	of	of	ADP
ejpam-6643	4	13	vertices	vertex	NOUN
ejpam-6643	4	14	[	[	X
ejpam-6643	4	15	2	2	NUM
ejpam-6643	4	16	]	]	PUNCT
ejpam-6643	4	17	,	,	PUNCT
ejpam-6643	4	18	and	and	CCONJ
ejpam-6643	4	19	superhypergraphs	superhypergraph	NOUN
ejpam-6643	4	20	generalize	generalize	VERB
ejpam-6643	4	21	further	far	ADV
ejpam-6643	4	22	through	through	ADP
ejpam-6643	4	23	iterative	iterative	NOUN
ejpam-6643	4	24	powerset	powerset	NOUN
ejpam-6643	4	25	constructions	construction	NOUN
ejpam-6643	4	26	that	that	PRON
ejpam-6643	4	27	capture	capture	VERB
ejpam-6643	4	28	multi	multi	ADJ
ejpam-6643	4	29	-	-	ADJ
ejpam-6643	4	30	level	level	ADJ
ejpam-6643	4	31	hierarchical	hierarchical	ADJ
ejpam-6643	4	32	connectivity	connectivity	NOUN
ejpam-6643	4	33	[	[	X
ejpam-6643	4	34	3	3	NUM
ejpam-6643	4	35	]	]	PUNCT
ejpam-6643	4	36	.	.	PUNCT
ejpam-6643	5	1	to	to	PART
ejpam-6643	5	2	address	address	VERB
ejpam-6643	5	3	uncertainty	uncertainty	NOUN
ejpam-6643	5	4	and	and	CCONJ
ejpam-6643	5	5	imprecision	imprecision	NOUN
ejpam-6643	5	6	,	,	PUNCT
ejpam-6643	5	7	a	a	DET
ejpam-6643	5	8	variety	variety	NOUN
ejpam-6643	5	9	of	of	ADP
ejpam-6643	5	10	set	set	NOUN
ejpam-6643	5	11	-	-	PUNCT
ejpam-6643	5	12	based	base	VERB
ejpam-6643	5	13	frameworks	framework	NOUN
ejpam-6643	5	14	—	—	PUNCT
ejpam-6643	5	15	fuzzy	fuzzy	ADJ
ejpam-6643	5	16	sets	set	NOUN
ejpam-6643	5	17	[	[	X
ejpam-6643	5	18	4	4	NUM
ejpam-6643	5	19	]	]	PUNCT
ejpam-6643	5	20	,	,	PUNCT
ejpam-6643	5	21	soft	soft	ADJ
ejpam-6643	5	22	sets	set	NOUN
ejpam-6643	5	23	[	[	X
ejpam-6643	5	24	5	5	NUM
ejpam-6643	5	25	]	]	PUNCT
ejpam-6643	5	26	,	,	PUNCT
ejpam-6643	5	27	intuitionistic	intuitionistic	ADJ
ejpam-6643	5	28	fuzzy	fuzzy	ADJ
ejpam-6643	5	29	sets	set	NOUN
ejpam-6643	5	30	[	[	X
ejpam-6643	5	31	6	6	NUM
ejpam-6643	5	32	]	]	PUNCT
ejpam-6643	5	33	,	,	PUNCT
ejpam-6643	5	34	rough	rough	ADJ
ejpam-6643	5	35	sets	set	NOUN
ejpam-6643	5	36	[	[	X
ejpam-6643	5	37	7	7	NUM
ejpam-6643	5	38	]	]	PUNCT
ejpam-6643	5	39	,	,	PUNCT
ejpam-6643	5	40	neutrosophic	neutrosophic	ADJ
ejpam-6643	5	41	sets	set	NOUN
ejpam-6643	5	42	[	[	X
ejpam-6643	5	43	8	8	NUM
ejpam-6643	5	44	]	]	PUNCT
ejpam-6643	5	45	,	,	PUNCT
ejpam-6643	5	46	and	and	CCONJ
ejpam-6643	5	47	plithogenic	plithogenic	ADJ
ejpam-6643	5	48	sets	set	NOUN
ejpam-6643	5	49	[	[	PUNCT
ejpam-6643	5	50	9]—have	9]—have	NUM
ejpam-6643	5	51	been	be	AUX
ejpam-6643	5	52	developed	develop	VERB
ejpam-6643	5	53	.	.	PUNCT
ejpam-6643	6	1	in	in	ADP
ejpam-6643	6	2	directed	direct	VERB
ejpam-6643	6	3	contexts	context	NOUN
ejpam-6643	6	4	,	,	PUNCT
ejpam-6643	6	5	these	these	DET
ejpam-6643	6	6	ideas	idea	NOUN
ejpam-6643	6	7	yield	yield	VERB
ejpam-6643	6	8	directed	direct	VERB
ejpam-6643	6	9	graphs	graph	NOUN
ejpam-6643	6	10	[	[	X
ejpam-6643	6	11	10	10	NUM
ejpam-6643	6	12	]	]	PUNCT
ejpam-6643	6	13	,	,	PUNCT
ejpam-6643	6	14	directed	direct	VERB
ejpam-6643	6	15	hypergraphs	hypergraph	NOUN
ejpam-6643	7	1	[	[	X
ejpam-6643	7	2	11	11	NUM
ejpam-6643	7	3	]	]	PUNCT
ejpam-6643	7	4	,	,	PUNCT
ejpam-6643	7	5	directed	direct	VERB
ejpam-6643	7	6	superhypergraphs	superhypergraph	NOUN
ejpam-6643	7	7	[	[	X
ejpam-6643	7	8	12	12	NUM
ejpam-6643	7	9	]	]	PUNCT
ejpam-6643	7	10	,	,	PUNCT
ejpam-6643	7	11	and	and	CCONJ
ejpam-6643	7	12	soft	soft	ADJ
ejpam-6643	7	13	directed	direct	VERB
ejpam-6643	7	14	graphs	graph	NOUN
ejpam-6643	7	15	[	[	X
ejpam-6643	7	16	13	13	NUM
ejpam-6643	7	17	]	]	PUNCT
ejpam-6643	7	18	.	.	PUNCT
ejpam-6643	8	1	while	while	SCONJ
ejpam-6643	8	2	soft	soft	ADJ
ejpam-6643	8	3	superhypergraphs	superhypergraph	NOUN
ejpam-6643	8	4	and	and	CCONJ
ejpam-6643	8	5	directed	direct	VERB
ejpam-6643	8	6	superhypergraphs	superhypergraph	NOUN
ejpam-6643	8	7	each	each	DET
ejpam-6643	8	8	capture	capture	VERB
ejpam-6643	8	9	important	important	ADJ
ejpam-6643	8	10	aspects	aspect	NOUN
ejpam-6643	8	11	of	of	ADP
ejpam-6643	8	12	uncertainty	uncertainty	NOUN
ejpam-6643	8	13	and	and	CCONJ
ejpam-6643	8	14	directionality	directionality	NOUN
ejpam-6643	8	15	in	in	ADP
ejpam-6643	8	16	hierarchical	hierarchical	ADJ
ejpam-6643	8	17	networks	network	NOUN
ejpam-6643	8	18	,	,	PUNCT
ejpam-6643	8	19	their	their	PRON
ejpam-6643	8	20	integration	integration	NOUN
ejpam-6643	8	21	remains	remain	VERB
ejpam-6643	8	22	largely	largely	ADV
ejpam-6643	8	23	unexplored	unexplored	ADJ
ejpam-6643	8	24	.	.	PUNCT
ejpam-6643	9	1	in	in	ADP
ejpam-6643	9	2	this	this	DET
ejpam-6643	9	3	paper	paper	NOUN
ejpam-6643	9	4	,	,	PUNCT
ejpam-6643	9	5	we	we	PRON
ejpam-6643	9	6	introduce	introduce	VERB
ejpam-6643	9	7	the	the	DET
ejpam-6643	9	8	directed	direct	VERB
ejpam-6643	9	9	soft	soft	ADJ
ejpam-6643	9	10	superhypergraph	superhypergraph	NOUN
ejpam-6643	9	11	,	,	PUNCT
ejpam-6643	9	12	a	a	DET
ejpam-6643	9	13	unified	unified	ADJ
ejpam-6643	9	14	framework	framework	NOUN
ejpam-6643	9	15	that	that	PRON
ejpam-6643	9	16	combines	combine	VERB
ejpam-6643	9	17	directionality	directionality	NOUN
ejpam-6643	9	18	,	,	PUNCT
ejpam-6643	9	19	recursive	recursive	ADJ
ejpam-6643	9	20	hyperstructure	hyperstructure	NOUN
ejpam-6643	9	21	,	,	PUNCT
ejpam-6643	9	22	and	and	CCONJ
ejpam-6643	9	23	soft	soft	ADJ
ejpam-6643	9	24	-	-	PUNCT
ejpam-6643	9	25	set	set	VERB
ejpam-6643	9	26	parameterization	parameterization	NOUN
ejpam-6643	9	27	.	.	PUNCT
ejpam-6643	10	1	we	we	PRON
ejpam-6643	10	2	present	present	VERB
ejpam-6643	10	3	formal	formal	ADJ
ejpam-6643	10	4	definitions	definition	NOUN
ejpam-6643	10	5	and	and	CCONJ
ejpam-6643	10	6	core	core	NOUN
ejpam-6643	10	7	operations	operation	NOUN
ejpam-6643	10	8	,	,	PUNCT
ejpam-6643	10	9	demonstrate	demonstrate	VERB
ejpam-6643	10	10	the	the	DET
ejpam-6643	10	11	model	model	NOUN
ejpam-6643	10	12	through	through	ADP
ejpam-6643	10	13	real	real	ADJ
ejpam-6643	10	14	-	-	PUNCT
ejpam-6643	10	15	world	world	NOUN
ejpam-6643	10	16	examples	example	NOUN
ejpam-6643	10	17	,	,	PUNCT
ejpam-6643	10	18	and	and	CCONJ
ejpam-6643	10	19	offer	offer	VERB
ejpam-6643	10	20	a	a	DET
ejpam-6643	10	21	qualitative	qualitative	ADJ
ejpam-6643	10	22	comparison	comparison	NOUN
ejpam-6643	10	23	with	with	ADP
ejpam-6643	10	24	existing	exist	VERB
ejpam-6643	10	25	approaches	approach	NOUN
ejpam-6643	10	26	.	.	PUNCT
ejpam-6643	11	1	our	our	PRON
ejpam-6643	11	2	framework	framework	NOUN
ejpam-6643	11	3	is	be	AUX
ejpam-6643	11	4	especially	especially	ADV
ejpam-6643	11	5	well	well	ADV
ejpam-6643	11	6	suited	suited	ADJ
ejpam-6643	11	7	to	to	ADP
ejpam-6643	11	8	representing	represent	VERB
ejpam-6643	11	9	complex	complex	ADJ
ejpam-6643	11	10	,	,	PUNCT
ejpam-6643	11	11	multi	multi	ADJ
ejpam-6643	11	12	-	-	ADJ
ejpam-6643	11	13	layered	layered	ADJ
ejpam-6643	11	14	directed	direct	VERB
ejpam-6643	11	15	systems	system	NOUN
ejpam-6643	11	16	—	—	PUNCT
ejpam-6643	11	17	such	such	ADJ
ejpam-6643	11	18	as	as	ADP
ejpam-6643	11	19	urban	urban	ADJ
ejpam-6643	11	20	infrastructure	infrastructure	NOUN
ejpam-6643	11	21	,	,	PUNCT
ejpam-6643	11	22	transportation	transportation	NOUN
ejpam-6643	11	23	networks	network	NOUN
ejpam-6643	11	24	,	,	PUNCT
ejpam-6643	11	25	and	and	CCONJ
ejpam-6643	11	26	information	information	NOUN
ejpam-6643	11	27	-	-	PUNCT
ejpam-6643	11	28	flow	flow	NOUN
ejpam-6643	11	29	architectures	architecture	NOUN
ejpam-6643	11	30	—	—	PUNCT
ejpam-6643	11	31	where	where	SCONJ
ejpam-6643	11	32	deep	deep	ADJ
ejpam-6643	11	33	hierarchies	hierarchy	NOUN
ejpam-6643	11	34	and	and	CCONJ
ejpam-6643	11	35	uncertain	uncertain	ADJ
ejpam-6643	11	36	relationships	relationship	NOUN
ejpam-6643	11	37	must	must	AUX
ejpam-6643	11	38	be	be	AUX
ejpam-6643	11	39	managed	manage	VERB
ejpam-6643	11	40	simultaneously	simultaneously	ADV
ejpam-6643	11	41	.	.	PUNCT
ejpam-6643	12	1	2020	2020	NUM
ejpam-6643	12	2	mathematics	mathematic	NOUN
ejpam-6643	12	3	subject	subject	NOUN
ejpam-6643	12	4	classifications	classification	NOUN
ejpam-6643	12	5	:	:	PUNCT
ejpam-6643	12	6	05c65	05c65	NUM
ejpam-6643	12	7	key	key	ADJ
ejpam-6643	12	8	words	word	NOUN
ejpam-6643	12	9	and	and	CCONJ
ejpam-6643	12	10	phrases	phrase	NOUN
ejpam-6643	12	11	:	:	PUNCT
ejpam-6643	12	12	superhypergraph	superhypergraph	NOUN
ejpam-6643	12	13	,	,	PUNCT
ejpam-6643	12	14	directed	direct	VERB
ejpam-6643	12	15	graph	graph	NOUN
ejpam-6643	12	16	,	,	PUNCT
ejpam-6643	12	17	soft	soft	ADJ
ejpam-6643	12	18	graph	graph	NOUN
ejpam-6643	12	19	,	,	PUNCT
ejpam-6643	12	20	soft	soft	ADJ
ejpam-6643	12	21	directed	direct	VERB
ejpam-6643	12	22	superhypergraph	superhypergraph	NOUN
ejpam-6643	12	23	,	,	PUNCT
ejpam-6643	12	24	hypergraph	hypergraph	VERB
ejpam-6643	12	25	,	,	PUNCT
ejpam-6643	12	26	directed	direct	VERB
ejpam-6643	12	27	hypergraph	hypergraph	NOUN
ejpam-6643	12	28	1	1	NUM
ejpam-6643	12	29	.	.	PUNCT
ejpam-6643	13	1	introduction	introduction	NOUN
ejpam-6643	13	2	1.1	1.1	NUM
ejpam-6643	13	3	.	.	PUNCT
ejpam-6643	14	1	from	from	ADP
ejpam-6643	14	2	graphs	graph	NOUN
ejpam-6643	14	3	to	to	PART
ejpam-6643	14	4	superhypergraphs	superhypergraphs	VERB
ejpam-6643	14	5	simple	simple	ADJ
ejpam-6643	14	6	graphs	graph	NOUN
ejpam-6643	14	7	depict	depict	NOUN
ejpam-6643	14	8	pairwise	pairwise	NOUN
ejpam-6643	14	9	relationships	relationship	NOUN
ejpam-6643	14	10	by	by	ADP
ejpam-6643	14	11	representing	represent	VERB
ejpam-6643	14	12	items	item	NOUN
ejpam-6643	14	13	as	as	ADP
ejpam-6643	14	14	nodes	node	NOUN
ejpam-6643	14	15	and	and	CCONJ
ejpam-6643	14	16	their	their	PRON
ejpam-6643	14	17	connections	connection	NOUN
ejpam-6643	14	18	as	as	ADP
ejpam-6643	14	19	edges	edge	NOUN
ejpam-6643	14	20	[	[	X
ejpam-6643	14	21	14	14	NUM
ejpam-6643	14	22	]	]	PUNCT
ejpam-6643	14	23	.	.	PUNCT
ejpam-6643	15	1	to	to	PART
ejpam-6643	15	2	describe	describe	VERB
ejpam-6643	15	3	interactions	interaction	NOUN
ejpam-6643	15	4	among	among	ADP
ejpam-6643	15	5	multiple	multiple	ADJ
ejpam-6643	15	6	entities	entity	NOUN
ejpam-6643	15	7	at	at	ADP
ejpam-6643	15	8	once	once	ADV
ejpam-6643	15	9	,	,	PUNCT
ejpam-6643	15	10	hypergraphs	hypergraph	NOUN
ejpam-6643	15	11	permit	permit	VERB
ejpam-6643	15	12	each	each	DET
ejpam-6643	15	13	hyperedge	hyperedge	NOUN
ejpam-6643	15	14	to	to	PART
ejpam-6643	15	15	join	join	VERB
ejpam-6643	15	16	any	any	DET
ejpam-6643	15	17	nonempty	nonempty	NOUN
ejpam-6643	15	18	subset	subset	NOUN
ejpam-6643	15	19	of	of	ADP
ejpam-6643	15	20	vertices	vertex	NOUN
ejpam-6643	15	21	,	,	PUNCT
ejpam-6643	15	22	thus	thus	ADV
ejpam-6643	15	23	capturing	capture	VERB
ejpam-6643	15	24	∗corresponding	∗corresponde	VERB
ejpam-6643	15	25	author	author	NOUN
ejpam-6643	15	26	.	.	PUNCT
ejpam-6643	16	1	doi	doi	NOUN
ejpam-6643	16	2	:	:	PUNCT
ejpam-6643	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6643	https://doi.org/10.29020/nybg.ejpam.v18i4.6643	NUM
ejpam-6643	16	4	email	email	NOUN
ejpam-6643	16	5	addresses	address	NOUN
ejpam-6643	16	6	:	:	PUNCT
ejpam-6643	16	7	takaaki.fujita060@gmail.com	takaaki.fujita060@gmail.com	X
ejpam-6643	16	8	(	(	PUNCT
ejpam-6643	16	9	t.fujita	t.fujita	NUM
ejpam-6643	16	10	)	)	PUNCT
ejpam-6643	16	11	,	,	PUNCT
ejpam-6643	16	12	smarand@unm.edu	smarand@unm.edu	PROPN
ejpam-6643	16	13	(	(	PUNCT
ejpam-6643	16	14	f.	f.	PROPN
ejpam-6643	16	15	smarandache	smarandache	PROPN
ejpam-6643	16	16	)	)	PUNCT
ejpam-6643	16	17	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6643	17	1	1	1	NUM
ejpam-6643	17	2	copyright	copyright	NOUN
ejpam-6643	17	3	:	:	PUNCT
ejpam-6643	17	4	©	©	PROPN
ejpam-6643	17	5	2025	2025	NUM
ejpam-6643	17	6	the	the	DET
ejpam-6643	17	7	author(s	author(s	NOUN
ejpam-6643	17	8	)	)	PUNCT
ejpam-6643	17	9	.	.	PUNCT
ejpam-6643	18	1	(	(	PUNCT
ejpam-6643	18	2	cc	cc	NOUN
ejpam-6643	18	3	by	by	ADP
ejpam-6643	18	4	-	-	PUNCT
ejpam-6643	18	5	nc	nc	PROPN
ejpam-6643	18	6	4.0	4.0	NUM
ejpam-6643	18	7	)	)	PUNCT
ejpam-6643	18	8	t.	t.	PROPN
ejpam-6643	18	9	fujita	fujita	PROPN
ejpam-6643	18	10	,	,	PUNCT
ejpam-6643	18	11	f.smarandache	f.smarandache	NOUN
ejpam-6643	18	12	/	/	SYM
ejpam-6643	18	13	eur	eur	PROPN
ejpam-6643	18	14	.	.	PUNCT
ejpam-6643	19	1	j.	j.	PROPN
ejpam-6643	19	2	pure	pure	PROPN
ejpam-6643	19	3	appl	appl	PROPN
ejpam-6643	19	4	.	.	PROPN
ejpam-6643	19	5	math	math	PROPN
ejpam-6643	19	6	,	,	PUNCT
ejpam-6643	19	7	18	18	NUM
ejpam-6643	19	8	(	(	PUNCT
ejpam-6643	19	9	4	4	NUM
ejpam-6643	19	10	)	)	PUNCT
ejpam-6643	19	11	(	(	PUNCT
ejpam-6643	19	12	2025	2025	NUM
ejpam-6643	19	13	)	)	PUNCT
ejpam-6643	19	14	,	,	PUNCT
ejpam-6643	19	15	6643	6643	NUM
ejpam-6643	19	16	2	2	NUM
ejpam-6643	19	17	of	of	ADP
ejpam-6643	19	18	27	27	NUM
ejpam-6643	19	19	higher	high	ADJ
ejpam-6643	19	20	-	-	PUNCT
ejpam-6643	19	21	order	order	NOUN
ejpam-6643	19	22	associations	association	NOUN
ejpam-6643	19	23	[	[	X
ejpam-6643	19	24	15	15	NUM
ejpam-6643	19	25	,	,	PUNCT
ejpam-6643	19	26	16	16	NUM
ejpam-6643	19	27	]	]	PUNCT
ejpam-6643	19	28	.	.	PUNCT
ejpam-6643	20	1	building	build	VERB
ejpam-6643	20	2	upon	upon	SCONJ
ejpam-6643	20	3	this	this	PRON
ejpam-6643	20	4	,	,	PUNCT
ejpam-6643	20	5	a	a	DET
ejpam-6643	20	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	20	7	is	be	AUX
ejpam-6643	20	8	formed	form	VERB
ejpam-6643	20	9	by	by	ADP
ejpam-6643	20	10	iteratively	iteratively	ADV
ejpam-6643	20	11	taking	take	VERB
ejpam-6643	20	12	the	the	DET
ejpam-6643	20	13	powerset	powerset	NOUN
ejpam-6643	20	14	of	of	ADP
ejpam-6643	20	15	the	the	DET
ejpam-6643	20	16	vertex	vertex	NOUN
ejpam-6643	20	17	set	set	VERB
ejpam-6643	20	18	to	to	PART
ejpam-6643	20	19	create	create	VERB
ejpam-6643	20	20	successive	successive	ADJ
ejpam-6643	20	21	layers	layer	NOUN
ejpam-6643	20	22	of	of	ADP
ejpam-6643	20	23	links	link	NOUN
ejpam-6643	20	24	,	,	PUNCT
ejpam-6643	20	25	embedding	embed	VERB
ejpam-6643	20	26	nested	nested	ADJ
ejpam-6643	20	27	hierarchies	hierarchy	NOUN
ejpam-6643	20	28	within	within	ADP
ejpam-6643	20	29	the	the	DET
ejpam-6643	20	30	network	network	NOUN
ejpam-6643	20	31	[	[	X
ejpam-6643	20	32	17	17	NUM
ejpam-6643	20	33	,	,	PUNCT
ejpam-6643	20	34	18	18	NUM
ejpam-6643	20	35	]	]	PUNCT
ejpam-6643	20	36	.	.	PUNCT
ejpam-6643	21	1	1.2	1.2	NUM
ejpam-6643	21	2	.	.	PUNCT
ejpam-6643	21	3	capturing	capture	VERB
ejpam-6643	21	4	uncertainty	uncertainty	NOUN
ejpam-6643	21	5	in	in	ADP
ejpam-6643	21	6	networks	network	NOUN
ejpam-6643	21	7	real	real	ADJ
ejpam-6643	21	8	-	-	PUNCT
ejpam-6643	21	9	world	world	NOUN
ejpam-6643	21	10	networks	network	NOUN
ejpam-6643	21	11	frequently	frequently	ADV
ejpam-6643	21	12	include	include	VERB
ejpam-6643	21	13	incomplete	incomplete	ADJ
ejpam-6643	21	14	,	,	PUNCT
ejpam-6643	21	15	imprecise	imprecise	ADV
ejpam-6643	21	16	,	,	PUNCT
ejpam-6643	21	17	or	or	CCONJ
ejpam-6643	21	18	even	even	ADV
ejpam-6643	21	19	contradictory	contradictory	ADJ
ejpam-6643	21	20	information	information	NOUN
ejpam-6643	21	21	.	.	PUNCT
ejpam-6643	22	1	to	to	PART
ejpam-6643	22	2	model	model	VERB
ejpam-6643	22	3	such	such	ADJ
ejpam-6643	22	4	ambiguity	ambiguity	NOUN
ejpam-6643	22	5	,	,	PUNCT
ejpam-6643	22	6	a	a	DET
ejpam-6643	22	7	range	range	NOUN
ejpam-6643	22	8	of	of	ADP
ejpam-6643	22	9	set	set	NOUN
ejpam-6643	22	10	-	-	PUNCT
ejpam-6643	22	11	based	base	VERB
ejpam-6643	22	12	frameworks	framework	NOUN
ejpam-6643	22	13	—	—	PUNCT
ejpam-6643	22	14	fuzzy	fuzzy	ADJ
ejpam-6643	22	15	sets	set	NOUN
ejpam-6643	22	16	[	[	X
ejpam-6643	22	17	4	4	NUM
ejpam-6643	22	18	]	]	PUNCT
ejpam-6643	22	19	,	,	PUNCT
ejpam-6643	22	20	intuitionistic	intuitionistic	ADJ
ejpam-6643	22	21	fuzzy	fuzzy	ADJ
ejpam-6643	22	22	sets	set	NOUN
ejpam-6643	22	23	[	[	X
ejpam-6643	22	24	6	6	NUM
ejpam-6643	22	25	]	]	PUNCT
ejpam-6643	22	26	,	,	PUNCT
ejpam-6643	22	27	hyperfuzzy	hyperfuzzy	PROPN
ejpam-6643	22	28	sets	set	VERB
ejpam-6643	22	29	[	[	X
ejpam-6643	22	30	19–21	19–21	NUM
ejpam-6643	22	31	]	]	X
ejpam-6643	22	32	,	,	PUNCT
ejpam-6643	22	33	hesitant	hesitant	ADJ
ejpam-6643	22	34	fuzzy	fuzzy	ADJ
ejpam-6643	22	35	sets	set	NOUN
ejpam-6643	22	36	[	[	X
ejpam-6643	22	37	22	22	NUM
ejpam-6643	22	38	,	,	PUNCT
ejpam-6643	22	39	23	23	NUM
ejpam-6643	22	40	]	]	PUNCT
ejpam-6643	22	41	,	,	PUNCT
ejpam-6643	22	42	picture	picture	NOUN
ejpam-6643	22	43	fuzzy	fuzzy	ADJ
ejpam-6643	22	44	sets[24	sets[24	NOUN
ejpam-6643	22	45	]	]	PUNCT
ejpam-6643	22	46	,	,	PUNCT
ejpam-6643	22	47	neutrosophic	neutrosophic	ADJ
ejpam-6643	22	48	sets	set	NOUN
ejpam-6643	22	49	[	[	X
ejpam-6643	22	50	25	25	NUM
ejpam-6643	22	51	,	,	PUNCT
ejpam-6643	22	52	26	26	NUM
ejpam-6643	22	53	]	]	PUNCT
ejpam-6643	22	54	,	,	PUNCT
ejpam-6643	22	55	soft	soft	ADJ
ejpam-6643	22	56	sets	set	NOUN
ejpam-6643	22	57	[	[	X
ejpam-6643	22	58	5	5	NUM
ejpam-6643	22	59	,	,	PUNCT
ejpam-6643	22	60	27	27	NUM
ejpam-6643	22	61	]	]	PUNCT
ejpam-6643	22	62	,	,	PUNCT
ejpam-6643	22	63	hypersoft	hypersoft	PROPN
ejpam-6643	22	64	sets[28–31	sets[28–31	PROPN
ejpam-6643	22	65	]	]	PUNCT
ejpam-6643	22	66	,	,	PUNCT
ejpam-6643	22	67	and	and	CCONJ
ejpam-6643	22	68	plithogenic	plithogenic	ADJ
ejpam-6643	22	69	sets	set	NOUN
ejpam-6643	22	70	[	[	X
ejpam-6643	22	71	32–34]—have	32–34]—have	NUM
ejpam-6643	22	72	been	be	AUX
ejpam-6643	22	73	adapted	adapt	VERB
ejpam-6643	22	74	for	for	ADP
ejpam-6643	22	75	graph	graph	NOUN
ejpam-6643	22	76	modeling	modeling	NOUN
ejpam-6643	22	77	.	.	PUNCT
ejpam-6643	23	1	these	these	DET
ejpam-6643	23	2	adaptations	adaptation	NOUN
ejpam-6643	23	3	give	give	VERB
ejpam-6643	23	4	rise	rise	NOUN
ejpam-6643	23	5	to	to	ADP
ejpam-6643	23	6	structures	structure	NOUN
ejpam-6643	23	7	such	such	ADJ
ejpam-6643	23	8	as	as	ADP
ejpam-6643	23	9	fuzzy	fuzzy	ADJ
ejpam-6643	23	10	graphs	graph	NOUN
ejpam-6643	23	11	[	[	X
ejpam-6643	23	12	35	35	NUM
ejpam-6643	23	13	]	]	PUNCT
ejpam-6643	23	14	,	,	PUNCT
ejpam-6643	23	15	intuitionistic	intuitionistic	ADJ
ejpam-6643	23	16	fuzzy	fuzzy	ADJ
ejpam-6643	23	17	graphs	graph	NOUN
ejpam-6643	23	18	[	[	X
ejpam-6643	23	19	36	36	NUM
ejpam-6643	23	20	]	]	PUNCT
ejpam-6643	23	21	,	,	PUNCT
ejpam-6643	23	22	neutrosophic	neutrosophic	ADJ
ejpam-6643	23	23	graphs	graph	NOUN
ejpam-6643	23	24	[	[	X
ejpam-6643	23	25	25	25	NUM
ejpam-6643	23	26	]	]	PUNCT
ejpam-6643	23	27	,	,	PUNCT
ejpam-6643	23	28	plithogenic	plithogenic	ADJ
ejpam-6643	23	29	graphs	graph	NOUN
ejpam-6643	23	30	[	[	X
ejpam-6643	23	31	37	37	NUM
ejpam-6643	23	32	]	]	PUNCT
ejpam-6643	23	33	,	,	PUNCT
ejpam-6643	23	34	and	and	CCONJ
ejpam-6643	23	35	soft	soft	ADJ
ejpam-6643	23	36	graphs	graph	NOUN
ejpam-6643	24	1	[	[	X
ejpam-6643	24	2	38	38	NUM
ejpam-6643	24	3	]	]	PUNCT
ejpam-6643	24	4	,	,	PUNCT
ejpam-6643	24	5	each	each	PRON
ejpam-6643	24	6	integrating	integrate	VERB
ejpam-6643	24	7	graded	grade	VERB
ejpam-6643	24	8	membership	membership	NOUN
ejpam-6643	24	9	,	,	PUNCT
ejpam-6643	24	10	indeterminacy	indeterminacy	NOUN
ejpam-6643	24	11	,	,	PUNCT
ejpam-6643	24	12	and	and	CCONJ
ejpam-6643	24	13	conflict	conflict	NOUN
ejpam-6643	24	14	measures	measure	NOUN
ejpam-6643	24	15	to	to	PART
ejpam-6643	24	16	better	well	ADV
ejpam-6643	24	17	reflect	reflect	VERB
ejpam-6643	24	18	real	real	ADJ
ejpam-6643	24	19	-	-	PUNCT
ejpam-6643	24	20	world	world	NOUN
ejpam-6643	24	21	uncertainty	uncertainty	NOUN
ejpam-6643	24	22	.	.	PUNCT
ejpam-6643	25	1	moreover	moreover	ADV
ejpam-6643	25	2	,	,	PUNCT
ejpam-6643	25	3	fuzzy	fuzzy	ADJ
ejpam-6643	25	4	graphs	graph	NOUN
ejpam-6643	25	5	,	,	PUNCT
ejpam-6643	25	6	soft	soft	ADJ
ejpam-6643	25	7	graphs	graph	NOUN
ejpam-6643	25	8	,	,	PUNCT
ejpam-6643	25	9	and	and	CCONJ
ejpam-6643	25	10	neutrosophic	neutrosophic	ADJ
ejpam-6643	25	11	graphs	graph	NOUN
ejpam-6643	25	12	have	have	AUX
ejpam-6643	25	13	been	be	AUX
ejpam-6643	25	14	generalized	generalize	VERB
ejpam-6643	25	15	to	to	ADP
ejpam-6643	25	16	hypergraphs	hypergraph	NOUN
ejpam-6643	25	17	and	and	CCONJ
ejpam-6643	25	18	superhypergraphs	superhypergraph	NOUN
ejpam-6643	25	19	,	,	PUNCT
ejpam-6643	25	20	with	with	ADP
ejpam-6643	25	21	notable	notable	ADJ
ejpam-6643	25	22	recent	recent	ADJ
ejpam-6643	25	23	developments	development	NOUN
ejpam-6643	26	1	[	[	X
ejpam-6643	26	2	39	39	NUM
ejpam-6643	26	3	,	,	PUNCT
ejpam-6643	26	4	40	40	NUM
ejpam-6643	26	5	]	]	PUNCT
ejpam-6643	26	6	.	.	PUNCT
ejpam-6643	27	1	1.3	1.3	NUM
ejpam-6643	27	2	.	.	PUNCT
ejpam-6643	27	3	introducing	introduce	VERB
ejpam-6643	27	4	directionality	directionality	NOUN
ejpam-6643	27	5	many	many	ADJ
ejpam-6643	27	6	real	real	ADJ
ejpam-6643	27	7	-	-	PUNCT
ejpam-6643	27	8	world	world	NOUN
ejpam-6643	27	9	systems	system	NOUN
ejpam-6643	27	10	exhibit	exhibit	VERB
ejpam-6643	27	11	directional	directional	ADJ
ejpam-6643	27	12	or	or	CCONJ
ejpam-6643	27	13	asymmetric	asymmetric	ADJ
ejpam-6643	27	14	ties	tie	NOUN
ejpam-6643	27	15	.	.	PUNCT
ejpam-6643	28	1	in	in	ADP
ejpam-6643	28	2	a	a	DET
ejpam-6643	28	3	directed	direct	VERB
ejpam-6643	28	4	graph	graph	NOUN
ejpam-6643	28	5	(	(	PUNCT
ejpam-6643	28	6	digraph	digraph	NOUN
ejpam-6643	28	7	)	)	PUNCT
ejpam-6643	28	8	,	,	PUNCT
ejpam-6643	28	9	each	each	DET
ejpam-6643	28	10	edge	edge	NOUN
ejpam-6643	28	11	carries	carry	VERB
ejpam-6643	28	12	an	an	DET
ejpam-6643	28	13	orientation	orientation	NOUN
ejpam-6643	28	14	to	to	PART
ejpam-6643	28	15	indicate	indicate	VERB
ejpam-6643	28	16	the	the	DET
ejpam-6643	28	17	direction	direction	NOUN
ejpam-6643	28	18	of	of	ADP
ejpam-6643	28	19	flow	flow	NOUN
ejpam-6643	28	20	—	—	PUNCT
ejpam-6643	28	21	be	be	AUX
ejpam-6643	28	22	it	it	PRON
ejpam-6643	28	23	information	information	NOUN
ejpam-6643	28	24	,	,	PUNCT
ejpam-6643	28	25	resources	resource	NOUN
ejpam-6643	28	26	,	,	PUNCT
ejpam-6643	28	27	or	or	CCONJ
ejpam-6643	28	28	influence	influence	NOUN
ejpam-6643	28	29	—	—	PUNCT
ejpam-6643	28	30	between	between	ADP
ejpam-6643	28	31	nodes	node	NOUN
ejpam-6643	28	32	[	[	X
ejpam-6643	28	33	41	41	NUM
ejpam-6643	28	34	,	,	PUNCT
ejpam-6643	28	35	42	42	NUM
ejpam-6643	28	36	]	]	PUNCT
ejpam-6643	28	37	.	.	PUNCT
ejpam-6643	29	1	this	this	DET
ejpam-6643	29	2	concept	concept	NOUN
ejpam-6643	29	3	extends	extend	VERB
ejpam-6643	29	4	to	to	ADP
ejpam-6643	29	5	directed	directed	ADJ
ejpam-6643	29	6	hypergraphs	hypergraph	NOUN
ejpam-6643	29	7	,	,	PUNCT
ejpam-6643	29	8	where	where	SCONJ
ejpam-6643	29	9	hyperarcs	hyperarc	NOUN
ejpam-6643	29	10	distinguish	distinguish	VERB
ejpam-6643	29	11	between	between	ADP
ejpam-6643	29	12	tail	tail	NOUN
ejpam-6643	29	13	and	and	CCONJ
ejpam-6643	29	14	head	head	NOUN
ejpam-6643	29	15	subsets	subset	NOUN
ejpam-6643	29	16	,	,	PUNCT
ejpam-6643	29	17	and	and	CCONJ
ejpam-6643	29	18	further	far	ADV
ejpam-6643	29	19	to	to	ADP
ejpam-6643	29	20	directed	directed	ADJ
ejpam-6643	29	21	superhypergraphs	superhypergraph	NOUN
ejpam-6643	29	22	,	,	PUNCT
ejpam-6643	29	23	which	which	PRON
ejpam-6643	29	24	layer	layer	NOUN
ejpam-6643	29	25	these	these	DET
ejpam-6643	29	26	directed	direct	VERB
ejpam-6643	29	27	connections	connection	NOUN
ejpam-6643	29	28	across	across	ADP
ejpam-6643	29	29	multiple	multiple	ADJ
ejpam-6643	29	30	hierarchical	hierarchical	ADJ
ejpam-6643	29	31	strata	strata	NOUN
ejpam-6643	29	32	[	[	X
ejpam-6643	29	33	12	12	NUM
ejpam-6643	29	34	,	,	PUNCT
ejpam-6643	29	35	43–46	43–46	NUM
ejpam-6643	29	36	]	]	PUNCT
ejpam-6643	29	37	.	.	PUNCT
ejpam-6643	30	1	1.4	1.4	NUM
ejpam-6643	30	2	.	.	PUNCT
ejpam-6643	31	1	contributions	contribution	NOUN
ejpam-6643	31	2	of	of	ADP
ejpam-6643	31	3	this	this	DET
ejpam-6643	31	4	paper	paper	NOUN
ejpam-6643	31	5	from	from	ADP
ejpam-6643	31	6	the	the	DET
ejpam-6643	31	7	foregoing	forego	VERB
ejpam-6643	31	8	discussion	discussion	NOUN
ejpam-6643	31	9	,	,	PUNCT
ejpam-6643	31	10	research	research	NOUN
ejpam-6643	31	11	on	on	ADP
ejpam-6643	31	12	soft	soft	ADJ
ejpam-6643	31	13	superhypergraphs	superhypergraph	NOUN
ejpam-6643	31	14	and	and	CCONJ
ejpam-6643	31	15	directed	direct	VERB
ejpam-6643	31	16	superhypergraphs	superhypergraph	NOUN
ejpam-6643	31	17	is	be	AUX
ejpam-6643	31	18	critically	critically	ADV
ejpam-6643	31	19	important	important	ADJ
ejpam-6643	31	20	,	,	PUNCT
ejpam-6643	31	21	as	as	SCONJ
ejpam-6643	31	22	it	it	PRON
ejpam-6643	31	23	enables	enable	VERB
ejpam-6643	31	24	intuitive	intuitive	ADJ
ejpam-6643	31	25	modeling	modeling	NOUN
ejpam-6643	31	26	of	of	ADP
ejpam-6643	31	27	hierarchical	hierarchical	ADJ
ejpam-6643	31	28	real	real	ADJ
ejpam-6643	31	29	-	-	PUNCT
ejpam-6643	31	30	world	world	NOUN
ejpam-6643	31	31	concepts	concept	NOUN
ejpam-6643	31	32	.	.	PUNCT
ejpam-6643	32	1	however	however	ADV
ejpam-6643	32	2	,	,	PUNCT
ejpam-6643	32	3	the	the	DET
ejpam-6643	32	4	integrated	integrate	VERB
ejpam-6643	32	5	fusion	fusion	NOUN
ejpam-6643	32	6	of	of	ADP
ejpam-6643	32	7	soft	soft	ADJ
ejpam-6643	32	8	superhypergraphs	superhypergraph	NOUN
ejpam-6643	32	9	and	and	CCONJ
ejpam-6643	32	10	directed	direct	VERB
ejpam-6643	32	11	superhypergraphs	superhypergraph	NOUN
ejpam-6643	32	12	has	have	AUX
ejpam-6643	32	13	received	receive	VERB
ejpam-6643	32	14	little	little	ADJ
ejpam-6643	32	15	attention	attention	NOUN
ejpam-6643	32	16	to	to	ADP
ejpam-6643	32	17	date	date	NOUN
ejpam-6643	32	18	.	.	PUNCT
ejpam-6643	33	1	to	to	PART
ejpam-6643	33	2	bridge	bridge	VERB
ejpam-6643	33	3	this	this	DET
ejpam-6643	33	4	gap	gap	NOUN
ejpam-6643	33	5	,	,	PUNCT
ejpam-6643	33	6	in	in	ADP
ejpam-6643	33	7	this	this	DET
ejpam-6643	33	8	paper	paper	NOUN
ejpam-6643	33	9	we	we	PRON
ejpam-6643	33	10	introduce	introduce	VERB
ejpam-6643	33	11	the	the	DET
ejpam-6643	33	12	directed	direct	VERB
ejpam-6643	33	13	soft	soft	ADJ
ejpam-6643	33	14	superhypergraph	superhypergraph	NOUN
ejpam-6643	33	15	,	,	PUNCT
ejpam-6643	33	16	a	a	DET
ejpam-6643	33	17	novel	novel	ADJ
ejpam-6643	33	18	framework	framework	NOUN
ejpam-6643	33	19	that	that	PRON
ejpam-6643	33	20	unifies	unify	VERB
ejpam-6643	33	21	directed	directed	ADJ
ejpam-6643	33	22	relationships	relationship	NOUN
ejpam-6643	33	23	,	,	PUNCT
ejpam-6643	33	24	hierarchical	hierarchical	ADJ
ejpam-6643	33	25	superhyperstructures	superhyperstructure	NOUN
ejpam-6643	33	26	,	,	PUNCT
ejpam-6643	33	27	and	and	CCONJ
ejpam-6643	33	28	soft	soft	ADJ
ejpam-6643	33	29	-	-	PUNCT
ejpam-6643	33	30	set	set	VERB
ejpam-6643	33	31	parameterization	parameterization	NOUN
ejpam-6643	33	32	.	.	PUNCT
ejpam-6643	34	1	we	we	PRON
ejpam-6643	34	2	demonstrate	demonstrate	VERB
ejpam-6643	34	3	its	its	PRON
ejpam-6643	34	4	effectiveness	effectiveness	NOUN
ejpam-6643	34	5	in	in	ADP
ejpam-6643	34	6	modeling	model	VERB
ejpam-6643	34	7	complex	complex	ADJ
ejpam-6643	34	8	,	,	PUNCT
ejpam-6643	34	9	multi	multi	ADJ
ejpam-6643	34	10	-	-	ADJ
ejpam-6643	34	11	layered	layered	ADJ
ejpam-6643	34	12	directed	direct	VERB
ejpam-6643	34	13	networks	network	NOUN
ejpam-6643	34	14	—	—	PUNCT
ejpam-6643	34	15	such	such	ADJ
ejpam-6643	34	16	as	as	ADP
ejpam-6643	34	17	urban	urban	ADJ
ejpam-6643	34	18	transit	transit	NOUN
ejpam-6643	34	19	systems	system	NOUN
ejpam-6643	34	20	,	,	PUNCT
ejpam-6643	34	21	logistics	logistic	NOUN
ejpam-6643	34	22	networks	network	NOUN
ejpam-6643	34	23	,	,	PUNCT
ejpam-6643	34	24	and	and	CCONJ
ejpam-6643	34	25	information	information	NOUN
ejpam-6643	34	26	pipelines	pipeline	NOUN
ejpam-6643	34	27	—	—	PUNCT
ejpam-6643	34	28	where	where	SCONJ
ejpam-6643	34	29	deep	deep	ADJ
ejpam-6643	34	30	structural	structural	ADJ
ejpam-6643	34	31	hierarchies	hierarchy	NOUN
ejpam-6643	34	32	and	and	CCONJ
ejpam-6643	34	33	uncertainty	uncertainty	NOUN
ejpam-6643	34	34	must	must	AUX
ejpam-6643	34	35	be	be	AUX
ejpam-6643	34	36	managed	manage	VERB
ejpam-6643	34	37	concurrently	concurrently	ADV
ejpam-6643	34	38	.	.	PUNCT
ejpam-6643	35	1	1.5	1.5	NUM
ejpam-6643	35	2	.	.	PUNCT
ejpam-6643	36	1	structure	structure	NOUN
ejpam-6643	36	2	of	of	ADP
ejpam-6643	36	3	this	this	DET
ejpam-6643	36	4	paper	paper	NOUN
ejpam-6643	36	5	the	the	DET
ejpam-6643	36	6	remainder	remainder	NOUN
ejpam-6643	36	7	of	of	ADP
ejpam-6643	36	8	this	this	DET
ejpam-6643	36	9	paper	paper	NOUN
ejpam-6643	36	10	is	be	AUX
ejpam-6643	36	11	organized	organize	VERB
ejpam-6643	36	12	as	as	SCONJ
ejpam-6643	36	13	follows	follow	VERB
ejpam-6643	36	14	.	.	PUNCT
ejpam-6643	37	1	in	in	ADP
ejpam-6643	37	2	section	section	NOUN
ejpam-6643	37	3	2	2	NUM
ejpam-6643	37	4	,	,	PUNCT
ejpam-6643	37	5	we	we	PRON
ejpam-6643	37	6	review	review	VERB
ejpam-6643	37	7	the	the	DET
ejpam-6643	37	8	existing	exist	VERB
ejpam-6643	37	9	definitions	definition	NOUN
ejpam-6643	37	10	of	of	ADP
ejpam-6643	37	11	hypergraphs	hypergraph	NOUN
ejpam-6643	37	12	,	,	PUNCT
ejpam-6643	37	13	superhypergraphs	superhypergraph	NOUN
ejpam-6643	37	14	,	,	PUNCT
ejpam-6643	37	15	the	the	DET
ejpam-6643	37	16	n	n	ADV
ejpam-6643	37	17	-	-	PUNCT
ejpam-6643	37	18	th	th	ADV
ejpam-6643	37	19	iterated	iterate	VERB
ejpam-6643	37	20	powerset	powerset	NOUN
ejpam-6643	37	21	,	,	PUNCT
ejpam-6643	37	22	soft	soft	ADJ
ejpam-6643	37	23	directed	direct	VERB
ejpam-6643	37	24	hypergraphs	hypergraph	NOUN
ejpam-6643	37	25	,	,	PUNCT
ejpam-6643	37	26	and	and	CCONJ
ejpam-6643	37	27	related	related	ADJ
ejpam-6643	37	28	concepts	concept	NOUN
ejpam-6643	37	29	.	.	PUNCT
ejpam-6643	38	1	section	section	NOUN
ejpam-6643	38	2	3	3	NUM
ejpam-6643	38	3	presents	present	VERB
ejpam-6643	38	4	the	the	DET
ejpam-6643	38	5	definition	definition	NOUN
ejpam-6643	38	6	of	of	ADP
ejpam-6643	38	7	the	the	DET
ejpam-6643	38	8	directed	direct	VERB
ejpam-6643	38	9	soft	soft	ADJ
ejpam-6643	38	10	superhypergraph	superhypergraph	NOUN
ejpam-6643	38	11	and	and	CCONJ
ejpam-6643	38	12	examines	examine	VERB
ejpam-6643	38	13	its	its	PRON
ejpam-6643	38	14	fundamental	fundamental	ADJ
ejpam-6643	38	15	properties	property	NOUN
ejpam-6643	38	16	.	.	PUNCT
ejpam-6643	39	1	section	section	NOUN
ejpam-6643	39	2	4	4	NUM
ejpam-6643	39	3	provides	provide	VERB
ejpam-6643	39	4	a	a	DET
ejpam-6643	39	5	brief	brief	ADJ
ejpam-6643	39	6	t.	t.	PROPN
ejpam-6643	39	7	fujita	fujita	PROPN
ejpam-6643	39	8	,	,	PUNCT
ejpam-6643	39	9	f.smarandache	f.smarandache	NOUN
ejpam-6643	39	10	/	/	SYM
ejpam-6643	39	11	eur	eur	PROPN
ejpam-6643	39	12	.	.	PUNCT
ejpam-6643	40	1	j.	j.	PROPN
ejpam-6643	40	2	pure	pure	PROPN
ejpam-6643	40	3	appl	appl	PROPN
ejpam-6643	40	4	.	.	PROPN
ejpam-6643	40	5	math	math	PROPN
ejpam-6643	40	6	,	,	PUNCT
ejpam-6643	40	7	18	18	NUM
ejpam-6643	40	8	(	(	PUNCT
ejpam-6643	40	9	4	4	NUM
ejpam-6643	40	10	)	)	PUNCT
ejpam-6643	40	11	(	(	PUNCT
ejpam-6643	40	12	2025	2025	NUM
ejpam-6643	40	13	)	)	PUNCT
ejpam-6643	40	14	,	,	PUNCT
ejpam-6643	40	15	6643	6643	NUM
ejpam-6643	40	16	3	3	NUM
ejpam-6643	40	17	of	of	ADP
ejpam-6643	40	18	27	27	NUM
ejpam-6643	40	19	discussion	discussion	NOUN
ejpam-6643	40	20	on	on	ADP
ejpam-6643	40	21	the	the	DET
ejpam-6643	40	22	effectiveness	effectiveness	NOUN
ejpam-6643	40	23	of	of	ADP
ejpam-6643	40	24	the	the	DET
ejpam-6643	40	25	directed	direct	VERB
ejpam-6643	40	26	soft	soft	ADJ
ejpam-6643	40	27	superhypergraph	superhypergraph	NOUN
ejpam-6643	40	28	introduced	introduce	VERB
ejpam-6643	40	29	in	in	ADP
ejpam-6643	40	30	this	this	DET
ejpam-6643	40	31	paper	paper	NOUN
ejpam-6643	40	32	.	.	PUNCT
ejpam-6643	41	1	finally	finally	ADV
ejpam-6643	41	2	,	,	PUNCT
ejpam-6643	41	3	section	section	NOUN
ejpam-6643	41	4	5	5	NUM
ejpam-6643	41	5	concludes	conclude	VERB
ejpam-6643	41	6	the	the	DET
ejpam-6643	41	7	paper	paper	NOUN
ejpam-6643	41	8	and	and	CCONJ
ejpam-6643	41	9	outlines	outline	VERB
ejpam-6643	41	10	directions	direction	NOUN
ejpam-6643	41	11	for	for	ADP
ejpam-6643	41	12	future	future	ADJ
ejpam-6643	41	13	research	research	NOUN
ejpam-6643	41	14	.	.	PUNCT
ejpam-6643	42	1	2	2	X
ejpam-6643	42	2	.	.	X
ejpam-6643	42	3	preliminaries	preliminary	NOUN
ejpam-6643	42	4	throughout	throughout	ADP
ejpam-6643	42	5	this	this	DET
ejpam-6643	42	6	paper	paper	NOUN
ejpam-6643	42	7	,	,	PUNCT
ejpam-6643	42	8	we	we	PRON
ejpam-6643	42	9	work	work	VERB
ejpam-6643	42	10	with	with	ADP
ejpam-6643	42	11	finite	finite	ADJ
ejpam-6643	42	12	,	,	PUNCT
ejpam-6643	42	13	simple	simple	ADJ
ejpam-6643	42	14	graphs	graph	NOUN
ejpam-6643	42	15	unless	unless	SCONJ
ejpam-6643	42	16	stated	state	VERB
ejpam-6643	42	17	otherwise	otherwise	ADV
ejpam-6643	42	18	.	.	PUNCT
ejpam-6643	43	1	this	this	DET
ejpam-6643	43	2	section	section	NOUN
ejpam-6643	43	3	reviews	review	VERB
ejpam-6643	43	4	the	the	DET
ejpam-6643	43	5	key	key	ADJ
ejpam-6643	43	6	definitions	definition	NOUN
ejpam-6643	43	7	and	and	CCONJ
ejpam-6643	43	8	notation	notation	NOUN
ejpam-6643	43	9	that	that	PRON
ejpam-6643	43	10	will	will	AUX
ejpam-6643	43	11	be	be	AUX
ejpam-6643	43	12	used	use	VERB
ejpam-6643	43	13	in	in	ADP
ejpam-6643	43	14	later	later	ADJ
ejpam-6643	43	15	sections	section	NOUN
ejpam-6643	43	16	;	;	PUNCT
ejpam-6643	43	17	for	for	ADP
ejpam-6643	43	18	more	more	ADJ
ejpam-6643	43	19	in	in	ADP
ejpam-6643	43	20	-	-	PUNCT
ejpam-6643	43	21	depth	depth	NOUN
ejpam-6643	43	22	discussions	discussion	NOUN
ejpam-6643	43	23	,	,	PUNCT
ejpam-6643	43	24	please	please	INTJ
ejpam-6643	43	25	refer	refer	VERB
ejpam-6643	43	26	to	to	ADP
ejpam-6643	43	27	the	the	DET
ejpam-6643	43	28	cited	cite	VERB
ejpam-6643	43	29	sources	source	NOUN
ejpam-6643	43	30	.	.	PUNCT
ejpam-6643	44	1	2.1	2.1	NUM
ejpam-6643	44	2	.	.	PUNCT
ejpam-6643	44	3	superhypergraphs	superhypergraph	VERB
ejpam-6643	44	4	classical	classical	ADJ
ejpam-6643	44	5	graphs	graph	NOUN
ejpam-6643	44	6	model	model	VERB
ejpam-6643	44	7	binary	binary	PROPN
ejpam-6643	44	8	relations	relation	NOUN
ejpam-6643	44	9	between	between	ADP
ejpam-6643	44	10	vertices	vertex	NOUN
ejpam-6643	44	11	,	,	PUNCT
ejpam-6643	44	12	but	but	CCONJ
ejpam-6643	44	13	many	many	ADJ
ejpam-6643	44	14	applications	application	NOUN
ejpam-6643	44	15	require	require	VERB
ejpam-6643	44	16	connecting	connect	VERB
ejpam-6643	44	17	larger	large	ADJ
ejpam-6643	44	18	subsets	subset	NOUN
ejpam-6643	44	19	at	at	ADP
ejpam-6643	44	20	once	once	ADV
ejpam-6643	44	21	.	.	PUNCT
ejpam-6643	45	1	a	a	DET
ejpam-6643	45	2	hypergraph	hypergraph	NOUN
ejpam-6643	45	3	achieves	achieve	VERB
ejpam-6643	45	4	this	this	PRON
ejpam-6643	45	5	by	by	ADP
ejpam-6643	45	6	replacing	replace	VERB
ejpam-6643	45	7	edges	edge	NOUN
ejpam-6643	45	8	with	with	ADP
ejpam-6643	45	9	hyperedges	hyperedge	NOUN
ejpam-6643	45	10	,	,	PUNCT
ejpam-6643	45	11	each	each	PRON
ejpam-6643	45	12	of	of	ADP
ejpam-6643	45	13	which	which	PRON
ejpam-6643	45	14	may	may	AUX
ejpam-6643	45	15	join	join	VERB
ejpam-6643	45	16	any	any	DET
ejpam-6643	45	17	nonempty	nonempty	ADJ
ejpam-6643	45	18	collection	collection	NOUN
ejpam-6643	45	19	of	of	ADP
ejpam-6643	45	20	vertices	vertex	NOUN
ejpam-6643	45	21	[	[	X
ejpam-6643	45	22	2	2	NUM
ejpam-6643	45	23	,	,	PUNCT
ejpam-6643	45	24	47	47	NUM
ejpam-6643	45	25	]	]	PUNCT
ejpam-6643	45	26	.	.	PUNCT
ejpam-6643	46	1	to	to	PART
ejpam-6643	46	2	capture	capture	VERB
ejpam-6643	46	3	multi	multi	ADJ
ejpam-6643	46	4	-	-	ADJ
ejpam-6643	46	5	level	level	ADJ
ejpam-6643	46	6	or	or	CCONJ
ejpam-6643	46	7	recursive	recursive	ADJ
ejpam-6643	46	8	structures	structure	NOUN
ejpam-6643	46	9	,	,	PUNCT
ejpam-6643	46	10	one	one	PRON
ejpam-6643	46	11	can	can	AUX
ejpam-6643	46	12	iterate	iterate	VERB
ejpam-6643	46	13	the	the	DET
ejpam-6643	46	14	subset	subset	NOUN
ejpam-6643	46	15	construction	construction	NOUN
ejpam-6643	46	16	:	:	PUNCT
ejpam-6643	46	17	a	a	DET
ejpam-6643	46	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	46	19	applies	apply	VERB
ejpam-6643	46	20	the	the	DET
ejpam-6643	46	21	powerset	powerset	NOUN
ejpam-6643	46	22	operation	operation	NOUN
ejpam-6643	46	23	successively	successively	ADV
ejpam-6643	46	24	,	,	PUNCT
ejpam-6643	46	25	creating	create	VERB
ejpam-6643	46	26	“	"	PUNCT
ejpam-6643	46	27	supervertices	supervertice	NOUN
ejpam-6643	46	28	”	"	PUNCT
ejpam-6643	46	29	and	and	CCONJ
ejpam-6643	46	30	“	"	PUNCT
ejpam-6643	46	31	superedges	superedge	NOUN
ejpam-6643	46	32	”	"	PUNCT
ejpam-6643	46	33	at	at	ADP
ejpam-6643	46	34	higher	high	ADJ
ejpam-6643	46	35	abstraction	abstraction	NOUN
ejpam-6643	46	36	layers	layer	NOUN
ejpam-6643	46	37	[	[	X
ejpam-6643	46	38	3	3	NUM
ejpam-6643	46	39	,	,	PUNCT
ejpam-6643	46	40	48–50	48–50	NUM
ejpam-6643	46	41	]	]	PUNCT
ejpam-6643	46	42	.	.	PUNCT
ejpam-6643	47	1	definition	definition	NOUN
ejpam-6643	47	2	1	1	NUM
ejpam-6643	47	3	(	(	PUNCT
ejpam-6643	47	4	base	base	NOUN
ejpam-6643	47	5	set	set	NOUN
ejpam-6643	47	6	)	)	PUNCT
ejpam-6643	47	7	.	.	PUNCT
ejpam-6643	48	1	[	[	X
ejpam-6643	48	2	51	51	NUM
ejpam-6643	48	3	]	]	PUNCT
ejpam-6643	48	4	let	let	VERB
ejpam-6643	48	5	s	s	PRON
ejpam-6643	48	6	be	be	AUX
ejpam-6643	48	7	a	a	DET
ejpam-6643	48	8	base	base	NOUN
ejpam-6643	48	9	set	set	NOUN
ejpam-6643	48	10	,	,	PUNCT
ejpam-6643	48	11	the	the	DET
ejpam-6643	48	12	foundational	foundational	ADJ
ejpam-6643	48	13	domain	domain	NOUN
ejpam-6643	48	14	from	from	ADP
ejpam-6643	48	15	which	which	PRON
ejpam-6643	48	16	all	all	DET
ejpam-6643	48	17	subsequent	subsequent	ADJ
ejpam-6643	48	18	constructions	construction	NOUN
ejpam-6643	48	19	are	be	AUX
ejpam-6643	48	20	drawn	draw	VERB
ejpam-6643	48	21	:	:	PUNCT
ejpam-6643	48	22	s	s	X
ejpam-6643	48	23	=	=	PUNCT
ejpam-6643	48	24	{	{	PUNCT
ejpam-6643	48	25	x	x	X
ejpam-6643	48	26	:	:	PUNCT
ejpam-6643	48	27	x	x	X
ejpam-6643	48	28	is	be	AUX
ejpam-6643	48	29	an	an	DET
ejpam-6643	48	30	element	element	NOUN
ejpam-6643	48	31	of	of	ADP
ejpam-6643	48	32	the	the	DET
ejpam-6643	48	33	universe	universe	NOUN
ejpam-6643	48	34	of	of	ADP
ejpam-6643	48	35	discourse	discourse	NOUN
ejpam-6643	48	36	}	}	PUNCT
ejpam-6643	48	37	.	.	PUNCT
ejpam-6643	49	1	definition	definition	NOUN
ejpam-6643	49	2	2	2	NUM
ejpam-6643	49	3	(	(	PUNCT
ejpam-6643	49	4	powerset	powerset	NOUN
ejpam-6643	49	5	)	)	PUNCT
ejpam-6643	49	6	.	.	PUNCT
ejpam-6643	50	1	[	[	X
ejpam-6643	50	2	52	52	NUM
ejpam-6643	50	3	]	]	PUNCT
ejpam-6643	50	4	the	the	DET
ejpam-6643	50	5	powerset	powerset	NOUN
ejpam-6643	50	6	of	of	ADP
ejpam-6643	50	7	a	a	DET
ejpam-6643	50	8	set	set	NOUN
ejpam-6643	50	9	s	s	PROPN
ejpam-6643	50	10	,	,	PUNCT
ejpam-6643	50	11	denoted	denote	VERB
ejpam-6643	50	12	pows(s	pows(s	NOUN
ejpam-6643	50	13	)	)	PUNCT
ejpam-6643	50	14	,	,	PUNCT
ejpam-6643	50	15	is	be	AUX
ejpam-6643	50	16	the	the	DET
ejpam-6643	50	17	collection	collection	NOUN
ejpam-6643	50	18	of	of	ADP
ejpam-6643	50	19	all	all	DET
ejpam-6643	50	20	subsets	subset	NOUN
ejpam-6643	50	21	of	of	ADP
ejpam-6643	50	22	s	s	NOUN
ejpam-6643	50	23	,	,	PUNCT
ejpam-6643	50	24	including	include	VERB
ejpam-6643	50	25	∅	∅	NOUN
ejpam-6643	50	26	and	and	CCONJ
ejpam-6643	50	27	s	s	PRON
ejpam-6643	50	28	itself	itself	PRON
ejpam-6643	50	29	:	:	PUNCT
ejpam-6643	50	30	pows(s	pows(s	X
ejpam-6643	50	31	)	)	PUNCT
ejpam-6643	50	32	=	=	SYM
ejpam-6643	50	33	{	{	PUNCT
ejpam-6643	50	34	a	a	X
ejpam-6643	50	35	:	:	PUNCT
ejpam-6643	50	36	a	a	DET
ejpam-6643	50	37	⊆	⊆	NUM
ejpam-6643	50	38	s	s	NOUN
ejpam-6643	50	39	}	}	PUNCT
ejpam-6643	50	40	.	.	PUNCT
ejpam-6643	51	1	definition	definition	NOUN
ejpam-6643	51	2	3	3	NUM
ejpam-6643	51	3	(	(	PUNCT
ejpam-6643	51	4	hypergraph	hypergraph	NOUN
ejpam-6643	51	5	)	)	PUNCT
ejpam-6643	51	6	.	.	PUNCT
ejpam-6643	52	1	[	[	X
ejpam-6643	52	2	2	2	NUM
ejpam-6643	52	3	,	,	PUNCT
ejpam-6643	52	4	47	47	NUM
ejpam-6643	52	5	]	]	PUNCT
ejpam-6643	52	6	a	a	DET
ejpam-6643	52	7	hypergraph	hypergraph	NOUN
ejpam-6643	52	8	h	h	NOUN
ejpam-6643	52	9	=	=	SYM
ejpam-6643	52	10	(	(	PUNCT
ejpam-6643	52	11	v	v	NOUN
ejpam-6643	52	12	,	,	PUNCT
ejpam-6643	52	13	e	e	NOUN
ejpam-6643	52	14	)	)	PUNCT
ejpam-6643	52	15	consists	consist	VERB
ejpam-6643	52	16	of	of	ADP
ejpam-6643	52	17	•	•	NOUN
ejpam-6643	52	18	a	a	DET
ejpam-6643	52	19	finite	finite	ADJ
ejpam-6643	52	20	vertex	vertex	NOUN
ejpam-6643	52	21	set	set	VERB
ejpam-6643	52	22	v	v	ADP
ejpam-6643	52	23	,	,	PUNCT
ejpam-6643	52	24	•	•	ADP
ejpam-6643	52	25	a	a	DET
ejpam-6643	52	26	family	family	NOUN
ejpam-6643	52	27	e	e	NOUN
ejpam-6643	52	28	of	of	ADP
ejpam-6643	52	29	nonempty	nonempty	ADJ
ejpam-6643	52	30	subsets	subset	NOUN
ejpam-6643	52	31	of	of	ADP
ejpam-6643	52	32	v	v	NOUN
ejpam-6643	52	33	,	,	PUNCT
ejpam-6643	52	34	each	each	PRON
ejpam-6643	52	35	called	call	VERB
ejpam-6643	52	36	a	a	DET
ejpam-6643	52	37	hyperedge	hyperedge	NOUN
ejpam-6643	52	38	.	.	PUNCT
ejpam-6643	53	1	definition	definition	NOUN
ejpam-6643	53	2	4	4	NUM
ejpam-6643	53	3	(	(	PUNCT
ejpam-6643	53	4	n	n	CCONJ
ejpam-6643	53	5	-	-	PUNCT
ejpam-6643	53	6	th	th	ADV
ejpam-6643	53	7	iterated	iterate	VERB
ejpam-6643	53	8	powerset	powerset	NOUN
ejpam-6643	53	9	)	)	PUNCT
ejpam-6643	53	10	.	.	PUNCT
ejpam-6643	54	1	[	[	X
ejpam-6643	54	2	53–55	53–55	NUM
ejpam-6643	54	3	]	]	PUNCT
ejpam-6643	54	4	define	define	VERB
ejpam-6643	54	5	the	the	DET
ejpam-6643	54	6	iterated	iterated	ADJ
ejpam-6643	54	7	powerset	powerset	NOUN
ejpam-6643	54	8	of	of	ADP
ejpam-6643	54	9	a	a	DET
ejpam-6643	54	10	set	set	NOUN
ejpam-6643	54	11	x	x	PUNCT
ejpam-6643	54	12	by	by	ADP
ejpam-6643	54	13	pows1(x	pows1(x	NOUN
ejpam-6643	54	14	)	)	PUNCT
ejpam-6643	54	15	=	=	SYM
ejpam-6643	54	16	pows(x	pows(x	NOUN
ejpam-6643	54	17	)	)	PUNCT
ejpam-6643	54	18	,	,	PUNCT
ejpam-6643	54	19	powsk+1(x	powsk+1(x	NOUN
ejpam-6643	54	20	)	)	PUNCT
ejpam-6643	54	21	=	=	PRON
ejpam-6643	55	1	pows	pow	NOUN
ejpam-6643	55	2	(	(	PUNCT
ejpam-6643	55	3	powsk(x	powsk(x	PROPN
ejpam-6643	55	4	)	)	PUNCT
ejpam-6643	55	5	)	)	PUNCT
ejpam-6643	55	6	,	,	PUNCT
ejpam-6643	55	7	k	k	X
ejpam-6643	55	8	≥	≥	NUM
ejpam-6643	55	9	1	1	NUM
ejpam-6643	55	10	.	.	PUNCT
ejpam-6643	56	1	the	the	DET
ejpam-6643	56	2	corresponding	correspond	VERB
ejpam-6643	56	3	nonempty	nonempty	ADV
ejpam-6643	56	4	iterated	iterate	VERB
ejpam-6643	56	5	powerset	powerset	NOUN
ejpam-6643	56	6	is	be	AUX
ejpam-6643	56	7	pows∗	pows∗	NOUN
ejpam-6643	56	8	1(x	1(x	NUM
ejpam-6643	56	9	)	)	PUNCT
ejpam-6643	56	10	=	=	SYM
ejpam-6643	56	11	pows(x	pows(x	NOUN
ejpam-6643	56	12	)	)	PUNCT
ejpam-6643	56	13	\	\	NOUN
ejpam-6643	56	14	{	{	PUNCT
ejpam-6643	56	15	∅	∅	NOUN
ejpam-6643	56	16	}	}	PUNCT
ejpam-6643	56	17	,	,	PUNCT
ejpam-6643	56	18	pows∗	pows∗	NOUN
ejpam-6643	56	19	k+1(x	k+1(x	NOUN
ejpam-6643	56	20	)	)	PUNCT
ejpam-6643	57	1	=	=	PRON
ejpam-6643	57	2	pows	pow	NOUN
ejpam-6643	57	3	(	(	PUNCT
ejpam-6643	57	4	pows∗	pows∗	NOUN
ejpam-6643	57	5	k(x	k(x	PROPN
ejpam-6643	57	6	)	)	PUNCT
ejpam-6643	57	7	)	)	PUNCT
ejpam-6643	57	8	\	\	NOUN
ejpam-6643	57	9	{	{	PUNCT
ejpam-6643	57	10	∅	∅	NOUN
ejpam-6643	57	11	}	}	PUNCT
ejpam-6643	57	12	.	.	PUNCT
ejpam-6643	58	1	example	example	NOUN
ejpam-6643	58	2	1	1	NUM
ejpam-6643	58	3	(	(	PUNCT
ejpam-6643	58	4	organizational	organizational	ADJ
ejpam-6643	58	5	hierarchy	hierarchy	NOUN
ejpam-6643	58	6	via	via	ADP
ejpam-6643	58	7	iterated	iterated	ADJ
ejpam-6643	58	8	powersets	powerset	NOUN
ejpam-6643	58	9	)	)	PUNCT
ejpam-6643	58	10	.	.	PUNCT
ejpam-6643	59	1	let	let	VERB
ejpam-6643	59	2	the	the	DET
ejpam-6643	59	3	base	base	NOUN
ejpam-6643	59	4	set	set	NOUN
ejpam-6643	59	5	of	of	ADP
ejpam-6643	59	6	employees	employee	NOUN
ejpam-6643	59	7	be	be	VERB
ejpam-6643	59	8	x	x	X
ejpam-6643	59	9	=	=	PRON
ejpam-6643	59	10	{	{	PUNCT
ejpam-6643	59	11	keisuke	keisuke	PROPN
ejpam-6643	59	12	,	,	PUNCT
ejpam-6643	59	13	bob	bob	PROPN
ejpam-6643	59	14	,	,	PUNCT
ejpam-6643	59	15	sakura	sakura	NOUN
ejpam-6643	59	16	}	}	PUNCT
ejpam-6643	59	17	.	.	PUNCT
ejpam-6643	60	1	t.	t.	PROPN
ejpam-6643	60	2	fujita	fujita	PROPN
ejpam-6643	60	3	,	,	PUNCT
ejpam-6643	60	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	60	5	/	/	SYM
ejpam-6643	60	6	eur	eur	PROPN
ejpam-6643	60	7	.	.	PUNCT
ejpam-6643	61	1	j.	j.	PROPN
ejpam-6643	61	2	pure	pure	PROPN
ejpam-6643	61	3	appl	appl	PROPN
ejpam-6643	61	4	.	.	PROPN
ejpam-6643	61	5	math	math	PROPN
ejpam-6643	61	6	,	,	PUNCT
ejpam-6643	61	7	18	18	NUM
ejpam-6643	61	8	(	(	PUNCT
ejpam-6643	61	9	4	4	NUM
ejpam-6643	61	10	)	)	PUNCT
ejpam-6643	61	11	(	(	PUNCT
ejpam-6643	61	12	2025	2025	NUM
ejpam-6643	61	13	)	)	PUNCT
ejpam-6643	61	14	,	,	PUNCT
ejpam-6643	61	15	6643	6643	NUM
ejpam-6643	61	16	4	4	NUM
ejpam-6643	61	17	of	of	ADP
ejpam-6643	61	18	27	27	NUM
ejpam-6643	61	19	•	•	NUM
ejpam-6643	61	20	pows1(x	pows1(x	NOUN
ejpam-6643	61	21	)	)	PUNCT
ejpam-6643	61	22	=	=	SYM
ejpam-6643	61	23	pows(x	pows(x	NOUN
ejpam-6643	61	24	)	)	PUNCT
ejpam-6643	61	25	is	be	AUX
ejpam-6643	61	26	the	the	DET
ejpam-6643	61	27	set	set	NOUN
ejpam-6643	61	28	of	of	ADP
ejpam-6643	61	29	all	all	DET
ejpam-6643	61	30	possible	possible	ADJ
ejpam-6643	61	31	teams	team	NOUN
ejpam-6643	61	32	:	:	PUNCT
ejpam-6643	61	33	{	{	PUNCT
ejpam-6643	61	34	∅	∅	NOUN
ejpam-6643	61	35	,	,	PUNCT
ejpam-6643	61	36	{	{	PUNCT
ejpam-6643	61	37	a	a	X
ejpam-6643	61	38	}	}	PUNCT
ejpam-6643	61	39	,	,	PUNCT
ejpam-6643	61	40	{	{	PUNCT
ejpam-6643	61	41	b	b	NOUN
ejpam-6643	61	42	}	}	PUNCT
ejpam-6643	61	43	,	,	PUNCT
ejpam-6643	61	44	{	{	PUNCT
ejpam-6643	61	45	c	c	X
ejpam-6643	61	46	}	}	PUNCT
ejpam-6643	61	47	,	,	PUNCT
ejpam-6643	61	48	{	{	PUNCT
ejpam-6643	61	49	a	a	DET
ejpam-6643	61	50	,	,	PUNCT
ejpam-6643	61	51	b	b	NOUN
ejpam-6643	61	52	}	}	PUNCT
ejpam-6643	61	53	,	,	PUNCT
ejpam-6643	61	54	{	{	PUNCT
ejpam-6643	61	55	a	a	PRON
ejpam-6643	61	56	,	,	PUNCT
ejpam-6643	61	57	c	c	NOUN
ejpam-6643	61	58	}	}	PUNCT
ejpam-6643	61	59	,	,	PUNCT
ejpam-6643	61	60	{	{	PUNCT
ejpam-6643	61	61	b	b	X
ejpam-6643	61	62	,	,	PUNCT
ejpam-6643	61	63	c	c	NOUN
ejpam-6643	61	64	}	}	PUNCT
ejpam-6643	61	65	,	,	PUNCT
ejpam-6643	61	66	{	{	PUNCT
ejpam-6643	61	67	a	a	PRON
ejpam-6643	61	68	,	,	PUNCT
ejpam-6643	61	69	b	b	NOUN
ejpam-6643	61	70	,	,	PUNCT
ejpam-6643	61	71	c	c	NOUN
ejpam-6643	61	72	}	}	PUNCT
ejpam-6643	61	73	}	}	PUNCT
ejpam-6643	61	74	.	.	PUNCT
ejpam-6643	62	1	•	•	NUM
ejpam-6643	62	2	pows2(x	pows2(x	NOUN
ejpam-6643	62	3	)	)	PUNCT
ejpam-6643	62	4	=	=	SYM
ejpam-6643	62	5	pows(pows1(x	pows(pows1(x	NOUN
ejpam-6643	62	6	)	)	PUNCT
ejpam-6643	62	7	)	)	PUNCT
ejpam-6643	62	8	is	be	AUX
ejpam-6643	62	9	the	the	DET
ejpam-6643	62	10	set	set	NOUN
ejpam-6643	62	11	of	of	ADP
ejpam-6643	62	12	all	all	DET
ejpam-6643	62	13	committees	committee	NOUN
ejpam-6643	62	14	of	of	ADP
ejpam-6643	62	15	teams	team	NOUN
ejpam-6643	62	16	,	,	PUNCT
ejpam-6643	62	17	for	for	ADP
ejpam-6643	62	18	example	example	NOUN
ejpam-6643	62	19	{	{	PUNCT
ejpam-6643	62	20	{	{	PUNCT
ejpam-6643	62	21	{	{	PUNCT
ejpam-6643	62	22	a	a	PROPN
ejpam-6643	62	23	,	,	PUNCT
ejpam-6643	62	24	b	b	NOUN
ejpam-6643	62	25	}	}	PUNCT
ejpam-6643	62	26	,	,	PUNCT
ejpam-6643	62	27	{	{	PUNCT
ejpam-6643	62	28	b	b	X
ejpam-6643	62	29	,	,	PUNCT
ejpam-6643	62	30	c	c	NOUN
ejpam-6643	62	31	}	}	PUNCT
ejpam-6643	62	32	}	}	PUNCT
ejpam-6643	62	33	,	,	PUNCT
ejpam-6643	62	34	{	{	PUNCT
ejpam-6643	62	35	{	{	PUNCT
ejpam-6643	62	36	a	a	NOUN
ejpam-6643	62	37	}	}	PUNCT
ejpam-6643	62	38	,	,	PUNCT
ejpam-6643	62	39	{	{	PUNCT
ejpam-6643	62	40	c	c	NOUN
ejpam-6643	62	41	}	}	PUNCT
ejpam-6643	62	42	}	}	PUNCT
ejpam-6643	62	43	,	,	PUNCT
ejpam-6643	62	44	.	.	PUNCT
ejpam-6643	62	45	.	.	PUNCT
ejpam-6643	62	46	.	.	PUNCT
ejpam-6643	63	1	}	}	PUNCT
ejpam-6643	63	2	.	.	PUNCT
ejpam-6643	64	1	•	•	NUM
ejpam-6643	64	2	pows3(x	pows3(x	PROPN
ejpam-6643	64	3	)	)	PUNCT
ejpam-6643	64	4	=	=	SYM
ejpam-6643	64	5	pows(pows2(x	pows(pows2(x	PROPN
ejpam-6643	64	6	)	)	PUNCT
ejpam-6643	64	7	)	)	PUNCT
ejpam-6643	64	8	is	be	AUX
ejpam-6643	64	9	the	the	DET
ejpam-6643	64	10	set	set	NOUN
ejpam-6643	64	11	of	of	ADP
ejpam-6643	64	12	all	all	DET
ejpam-6643	64	13	councils	council	NOUN
ejpam-6643	64	14	of	of	ADP
ejpam-6643	64	15	committees	committee	NOUN
ejpam-6643	64	16	,	,	PUNCT
ejpam-6643	64	17	such	such	ADJ
ejpam-6643	64	18	as	as	ADP
ejpam-6643	64	19	{	{	PUNCT
ejpam-6643	64	20	{	{	PUNCT
ejpam-6643	64	21	{	{	PUNCT
ejpam-6643	64	22	{	{	PUNCT
ejpam-6643	64	23	a	a	PROPN
ejpam-6643	64	24	,	,	PUNCT
ejpam-6643	64	25	b	b	NOUN
ejpam-6643	64	26	}	}	PUNCT
ejpam-6643	64	27	,	,	PUNCT
ejpam-6643	64	28	{	{	PUNCT
ejpam-6643	64	29	b	b	X
ejpam-6643	64	30	,	,	PUNCT
ejpam-6643	64	31	c	c	NOUN
ejpam-6643	64	32	}	}	PUNCT
ejpam-6643	64	33	}	}	PUNCT
ejpam-6643	64	34	,	,	PUNCT
ejpam-6643	64	35	{	{	PUNCT
ejpam-6643	64	36	{	{	PUNCT
ejpam-6643	64	37	a	a	NOUN
ejpam-6643	64	38	}	}	PUNCT
ejpam-6643	64	39	,	,	PUNCT
ejpam-6643	64	40	{	{	PUNCT
ejpam-6643	64	41	c	c	NOUN
ejpam-6643	64	42	}	}	PUNCT
ejpam-6643	64	43	}	}	PUNCT
ejpam-6643	64	44	}	}	PUNCT
ejpam-6643	64	45	,	,	PUNCT
ejpam-6643	64	46	.	.	PUNCT
ejpam-6643	64	47	.	.	PUNCT
ejpam-6643	64	48	.	.	PUNCT
ejpam-6643	64	49	}	}	PUNCT
ejpam-6643	64	50	.	.	PUNCT
ejpam-6643	65	1	in	in	ADP
ejpam-6643	65	2	practice	practice	NOUN
ejpam-6643	65	3	:	:	PUNCT
ejpam-6643	65	4	(	(	PUNCT
ejpam-6643	65	5	i	i	NOUN
ejpam-6643	65	6	)	)	PUNCT
ejpam-6643	65	7	a	a	DET
ejpam-6643	65	8	team	team	NOUN
ejpam-6643	65	9	is	be	AUX
ejpam-6643	65	10	any	any	DET
ejpam-6643	65	11	subset	subset	NOUN
ejpam-6643	65	12	of	of	ADP
ejpam-6643	65	13	employees	employee	NOUN
ejpam-6643	65	14	(	(	PUNCT
ejpam-6643	65	15	level-1	level-1	NUM
ejpam-6643	65	16	grouping	grouping	NOUN
ejpam-6643	65	17	)	)	PUNCT
ejpam-6643	65	18	.	.	PUNCT
ejpam-6643	66	1	(	(	PUNCT
ejpam-6643	66	2	ii	ii	X
ejpam-6643	66	3	)	)	PUNCT
ejpam-6643	66	4	a	a	DET
ejpam-6643	66	5	committee	committee	NOUN
ejpam-6643	66	6	is	be	AUX
ejpam-6643	66	7	a	a	DET
ejpam-6643	66	8	collection	collection	NOUN
ejpam-6643	66	9	of	of	ADP
ejpam-6643	66	10	teams	team	NOUN
ejpam-6643	66	11	(	(	PUNCT
ejpam-6643	66	12	level-2	level-2	PROPN
ejpam-6643	66	13	grouping	grouping	NOUN
ejpam-6643	66	14	)	)	PUNCT
ejpam-6643	66	15	.	.	PUNCT
ejpam-6643	67	1	(	(	PUNCT
ejpam-6643	67	2	iii	iii	X
ejpam-6643	67	3	)	)	PUNCT
ejpam-6643	67	4	a	a	DET
ejpam-6643	67	5	council	council	NOUN
ejpam-6643	67	6	is	be	AUX
ejpam-6643	67	7	a	a	DET
ejpam-6643	67	8	set	set	NOUN
ejpam-6643	67	9	of	of	ADP
ejpam-6643	67	10	committees	committee	NOUN
ejpam-6643	67	11	(	(	PUNCT
ejpam-6643	67	12	level-3	level-3	PROPN
ejpam-6643	67	13	grouping	grouping	NOUN
ejpam-6643	67	14	)	)	PUNCT
ejpam-6643	67	15	.	.	PUNCT
ejpam-6643	68	1	thus	thus	ADV
ejpam-6643	68	2	iterated	iterate	VERB
ejpam-6643	68	3	powersets	powerset	NOUN
ejpam-6643	68	4	naturally	naturally	ADV
ejpam-6643	68	5	model	model	VERB
ejpam-6643	68	6	successive	successive	ADJ
ejpam-6643	68	7	layers	layer	NOUN
ejpam-6643	68	8	of	of	ADP
ejpam-6643	68	9	organizational	organizational	ADJ
ejpam-6643	68	10	structure	structure	NOUN
ejpam-6643	68	11	.	.	PUNCT
ejpam-6643	69	1	definition	definition	NOUN
ejpam-6643	69	2	5	5	NUM
ejpam-6643	69	3	(	(	PUNCT
ejpam-6643	69	4	n	n	CCONJ
ejpam-6643	69	5	-	-	PUNCT
ejpam-6643	69	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	69	7	)	)	PUNCT
ejpam-6643	69	8	.	.	PUNCT
ejpam-6643	70	1	[	[	X
ejpam-6643	70	2	56–58	56–58	NUM
ejpam-6643	70	3	]	]	X
ejpam-6643	70	4	let	let	AUX
ejpam-6643	70	5	v0	v0	NOUN
ejpam-6643	70	6	be	be	AUX
ejpam-6643	70	7	a	a	DET
ejpam-6643	70	8	finite	finite	ADJ
ejpam-6643	70	9	base	base	NOUN
ejpam-6643	70	10	set	set	VERB
ejpam-6643	70	11	and	and	CCONJ
ejpam-6643	70	12	define	define	VERB
ejpam-6643	70	13	powsk(v0	powsk(v0	PROPN
ejpam-6643	70	14	)	)	PUNCT
ejpam-6643	70	15	by	by	ADP
ejpam-6643	70	16	iterating	iterate	VERB
ejpam-6643	70	17	the	the	DET
ejpam-6643	70	18	powerset	powerset	NOUN
ejpam-6643	70	19	k	k	PROPN
ejpam-6643	70	20	times	times	PROPN
ejpam-6643	70	21	.	.	PUNCT
ejpam-6643	71	1	an	an	DET
ejpam-6643	71	2	n	n	PRON
ejpam-6643	71	3	-	-	PUNCT
ejpam-6643	71	4	superhypergraph	superhypergraph	NOUN
ejpam-6643	71	5	is	be	AUX
ejpam-6643	71	6	a	a	DET
ejpam-6643	71	7	pair	pair	NOUN
ejpam-6643	71	8	suhg(n	suhg(n	NOUN
ejpam-6643	71	9	)	)	PUNCT
ejpam-6643	71	10	=	=	SYM
ejpam-6643	71	11	(	(	PUNCT
ejpam-6643	71	12	v	v	NOUN
ejpam-6643	71	13	,	,	PUNCT
ejpam-6643	71	14	e	e	NOUN
ejpam-6643	71	15	)	)	PUNCT
ejpam-6643	71	16	,	,	PUNCT
ejpam-6643	71	17	where	where	SCONJ
ejpam-6643	71	18	v	v	ADP
ejpam-6643	71	19	⊆	⊆	NUM
ejpam-6643	71	20	powsn(v0	powsn(v0	NOUN
ejpam-6643	71	21	)	)	PUNCT
ejpam-6643	71	22	,	,	PUNCT
ejpam-6643	71	23	e	e	PROPN
ejpam-6643	71	24	⊆	⊆	NUM
ejpam-6643	71	25	powsn(v0	powsn(v0	NOUN
ejpam-6643	71	26	)	)	PUNCT
ejpam-6643	71	27	.	.	PUNCT
ejpam-6643	72	1	members	member	NOUN
ejpam-6643	72	2	of	of	ADP
ejpam-6643	72	3	v	v	NOUN
ejpam-6643	72	4	are	be	AUX
ejpam-6643	72	5	called	call	VERB
ejpam-6643	72	6	n	n	CCONJ
ejpam-6643	72	7	-	-	PUNCT
ejpam-6643	72	8	supervertices	supervertice	NOUN
ejpam-6643	72	9	and	and	CCONJ
ejpam-6643	72	10	members	member	NOUN
ejpam-6643	72	11	of	of	ADP
ejpam-6643	72	12	e	e	PROPN
ejpam-6643	72	13	are	be	AUX
ejpam-6643	72	14	n	n	PRON
ejpam-6643	72	15	-	-	PUNCT
ejpam-6643	72	16	superedges	superedge	NOUN
ejpam-6643	72	17	.	.	PUNCT
ejpam-6643	73	1	example	example	NOUN
ejpam-6643	73	2	2	2	NUM
ejpam-6643	73	3	(	(	PUNCT
ejpam-6643	73	4	software	software	NOUN
ejpam-6643	73	5	architecture	architecture	NOUN
ejpam-6643	73	6	as	as	ADP
ejpam-6643	73	7	a	a	DET
ejpam-6643	73	8	2	2	NUM
ejpam-6643	73	9	-	-	PUNCT
ejpam-6643	73	10	superhypergraph	superhypergraph	NOUN
ejpam-6643	73	11	)	)	PUNCT
ejpam-6643	73	12	.	.	PUNCT
ejpam-6643	74	1	consider	consider	VERB
ejpam-6643	74	2	a	a	DET
ejpam-6643	74	3	software	software	NOUN
ejpam-6643	74	4	system	system	NOUN
ejpam-6643	74	5	whose	whose	DET
ejpam-6643	74	6	lowest	low	ADJ
ejpam-6643	74	7	-	-	PUNCT
ejpam-6643	74	8	level	level	NOUN
ejpam-6643	74	9	components	component	NOUN
ejpam-6643	74	10	are	be	AUX
ejpam-6643	74	11	s	s	NOUN
ejpam-6643	74	12	=	=	PUNCT
ejpam-6643	74	13	{	{	PUNCT
ejpam-6643	74	14	auth	auth	NOUN
ejpam-6643	74	15	,	,	PUNCT
ejpam-6643	74	16	dataaccess	dataaccess	NOUN
ejpam-6643	74	17	,	,	PUNCT
ejpam-6643	74	18	ui	ui	NOUN
ejpam-6643	74	19	}	}	PUNCT
ejpam-6643	74	20	.	.	PUNCT
ejpam-6643	75	1	at	at	ADP
ejpam-6643	75	2	the	the	DET
ejpam-6643	75	3	first	first	ADJ
ejpam-6643	75	4	level	level	NOUN
ejpam-6643	75	5	,	,	PUNCT
ejpam-6643	75	6	these	these	DET
ejpam-6643	75	7	components	component	NOUN
ejpam-6643	75	8	form	form	VERB
ejpam-6643	75	9	modules	module	NOUN
ejpam-6643	75	10	:	:	PUNCT
ejpam-6643	75	11	m1	m1	PROPN
ejpam-6643	75	12	=	=	PUNCT
ejpam-6643	75	13	{	{	PUNCT
ejpam-6643	75	14	auth	auth	NOUN
ejpam-6643	75	15	}	}	PUNCT
ejpam-6643	75	16	,	,	PUNCT
ejpam-6643	75	17	m2	m2	PROPN
ejpam-6643	75	18	=	=	PROPN
ejpam-6643	75	19	{	{	PUNCT
ejpam-6643	75	20	dataaccess	dataaccess	NOUN
ejpam-6643	75	21	}	}	PUNCT
ejpam-6643	75	22	,	,	PUNCT
ejpam-6643	75	23	m3	m3	PROPN
ejpam-6643	75	24	=	=	SYM
ejpam-6643	75	25	{	{	PUNCT
ejpam-6643	75	26	ui	ui	NOUN
ejpam-6643	75	27	}	}	PUNCT
ejpam-6643	75	28	,	,	PUNCT
ejpam-6643	75	29	so	so	SCONJ
ejpam-6643	75	30	that	that	SCONJ
ejpam-6643	75	31	pows1(s	pows1(s	VERB
ejpam-6643	75	32	)	)	PUNCT
ejpam-6643	75	33	⊇	⊇	NOUN
ejpam-6643	75	34	v1	v1	NOUN
ejpam-6643	75	35	=	=	SYM
ejpam-6643	75	36	{	{	PUNCT
ejpam-6643	75	37	m1,m2,m3	m1,m2,m3	NOUN
ejpam-6643	75	38	}	}	PUNCT
ejpam-6643	75	39	.	.	PUNCT
ejpam-6643	76	1	at	at	ADP
ejpam-6643	76	2	the	the	DET
ejpam-6643	76	3	second	second	ADJ
ejpam-6643	76	4	level	level	NOUN
ejpam-6643	76	5	,	,	PUNCT
ejpam-6643	76	6	modules	module	NOUN
ejpam-6643	76	7	combine	combine	VERB
ejpam-6643	76	8	into	into	ADP
ejpam-6643	76	9	subsystems	subsystem	NOUN
ejpam-6643	76	10	:	:	PUNCT
ejpam-6643	77	1	suba	suba	PROPN
ejpam-6643	77	2	=	=	PUNCT
ejpam-6643	77	3	{	{	PUNCT
ejpam-6643	77	4	m1,m2	m1,m2	PROPN
ejpam-6643	77	5	}	}	PUNCT
ejpam-6643	77	6	,	,	PUNCT
ejpam-6643	77	7	subb	subb	VERB
ejpam-6643	77	8	=	=	PUNCT
ejpam-6643	77	9	{	{	PUNCT
ejpam-6643	77	10	m2,m3	m2,m3	PROPN
ejpam-6643	77	11	}	}	PUNCT
ejpam-6643	77	12	,	,	PUNCT
ejpam-6643	77	13	suball	suball	NOUN
ejpam-6643	77	14	=	=	SYM
ejpam-6643	77	15	{	{	PUNCT
ejpam-6643	77	16	m1,m2,m3	m1,m2,m3	NOUN
ejpam-6643	77	17	}	}	PUNCT
ejpam-6643	77	18	,	,	PUNCT
ejpam-6643	77	19	so	so	SCONJ
ejpam-6643	77	20	that	that	DET
ejpam-6643	77	21	pows2(s	pows2(s	NOUN
ejpam-6643	77	22	)	)	PUNCT
ejpam-6643	77	23	⊇	⊇	PROPN
ejpam-6643	77	24	v	v	NOUN
ejpam-6643	77	25	=	=	SYM
ejpam-6643	77	26	{	{	PUNCT
ejpam-6643	77	27	suba	suba	PROPN
ejpam-6643	77	28	,	,	PUNCT
ejpam-6643	77	29	subb	subb	VERB
ejpam-6643	77	30	,	,	PUNCT
ejpam-6643	77	31	suball	suball	NOUN
ejpam-6643	77	32	}	}	PUNCT
ejpam-6643	77	33	.	.	PUNCT
ejpam-6643	78	1	we	we	PRON
ejpam-6643	78	2	choose	choose	VERB
ejpam-6643	78	3	the	the	DET
ejpam-6643	78	4	set	set	NOUN
ejpam-6643	78	5	of	of	ADP
ejpam-6643	78	6	2	2	NUM
ejpam-6643	78	7	-	-	PUNCT
ejpam-6643	78	8	superedges	superedge	NOUN
ejpam-6643	78	9	to	to	PART
ejpam-6643	78	10	capture	capture	VERB
ejpam-6643	78	11	key	key	ADJ
ejpam-6643	78	12	integration	integration	NOUN
ejpam-6643	78	13	points	point	NOUN
ejpam-6643	78	14	:	:	PUNCT
ejpam-6643	79	1	e	e	X
ejpam-6643	79	2	=	=	PRON
ejpam-6643	79	3	{	{	PUNCT
ejpam-6643	79	4	e1	e1	PROPN
ejpam-6643	79	5	=	=	SYM
ejpam-6643	79	6	{	{	PUNCT
ejpam-6643	79	7	suba	suba	PROPN
ejpam-6643	79	8	,	,	PUNCT
ejpam-6643	79	9	suball	suball	NOUN
ejpam-6643	79	10	}	}	PUNCT
ejpam-6643	79	11	,	,	PUNCT
ejpam-6643	79	12	e2	e2	PROPN
ejpam-6643	79	13	=	=	PUNCT
ejpam-6643	79	14	{	{	PUNCT
ejpam-6643	79	15	subb	subb	VERB
ejpam-6643	79	16	,	,	PUNCT
ejpam-6643	79	17	suball	suball	NOUN
ejpam-6643	79	18	}	}	PUNCT
ejpam-6643	79	19	}	}	PUNCT
ejpam-6643	79	20	,	,	PUNCT
ejpam-6643	79	21	where	where	SCONJ
ejpam-6643	79	22	:	:	PUNCT
ejpam-6643	79	23	t.	t.	PROPN
ejpam-6643	79	24	fujita	fujita	PROPN
ejpam-6643	79	25	,	,	PUNCT
ejpam-6643	79	26	f.smarandache	f.smarandache	NOUN
ejpam-6643	79	27	/	/	SYM
ejpam-6643	79	28	eur	eur	PROPN
ejpam-6643	79	29	.	.	PUNCT
ejpam-6643	80	1	j.	j.	PROPN
ejpam-6643	80	2	pure	pure	PROPN
ejpam-6643	80	3	appl	appl	PROPN
ejpam-6643	80	4	.	.	PROPN
ejpam-6643	80	5	math	math	PROPN
ejpam-6643	80	6	,	,	PUNCT
ejpam-6643	80	7	18	18	NUM
ejpam-6643	80	8	(	(	PUNCT
ejpam-6643	80	9	4	4	NUM
ejpam-6643	80	10	)	)	PUNCT
ejpam-6643	80	11	(	(	PUNCT
ejpam-6643	80	12	2025	2025	NUM
ejpam-6643	80	13	)	)	PUNCT
ejpam-6643	80	14	,	,	PUNCT
ejpam-6643	80	15	6643	6643	NUM
ejpam-6643	80	16	5	5	NUM
ejpam-6643	80	17	of	of	ADP
ejpam-6643	80	18	27	27	NUM
ejpam-6643	80	19	•	•	NOUN
ejpam-6643	80	20	e1	e1	NOUN
ejpam-6643	80	21	models	model	NOUN
ejpam-6643	80	22	the	the	DET
ejpam-6643	80	23	integration	integration	NOUN
ejpam-6643	80	24	between	between	ADP
ejpam-6643	80	25	the	the	DET
ejpam-6643	80	26	auth	auth	NOUN
ejpam-6643	80	27	/	/	SYM
ejpam-6643	80	28	data	datum	NOUN
ejpam-6643	80	29	subsystem	subsystem	NOUN
ejpam-6643	80	30	and	and	CCONJ
ejpam-6643	80	31	the	the	DET
ejpam-6643	80	32	full	full	ADJ
ejpam-6643	80	33	system	system	NOUN
ejpam-6643	80	34	.	.	PUNCT
ejpam-6643	81	1	•	•	PROPN
ejpam-6643	81	2	e2	e2	PROPN
ejpam-6643	81	3	models	model	VERB
ejpam-6643	81	4	the	the	DET
ejpam-6643	81	5	integration	integration	NOUN
ejpam-6643	81	6	between	between	ADP
ejpam-6643	81	7	the	the	DET
ejpam-6643	81	8	data	data	PROPN
ejpam-6643	81	9	/	/	SYM
ejpam-6643	81	10	ui	ui	NOUN
ejpam-6643	81	11	subsystem	subsystem	NOUN
ejpam-6643	81	12	and	and	CCONJ
ejpam-6643	81	13	the	the	DET
ejpam-6643	81	14	full	full	ADJ
ejpam-6643	81	15	system	system	NOUN
ejpam-6643	81	16	.	.	PUNCT
ejpam-6643	82	1	hence	hence	ADV
ejpam-6643	82	2	suhg(2	suhg(2	NOUN
ejpam-6643	82	3	)	)	PUNCT
ejpam-6643	82	4	=	=	PRON
ejpam-6643	82	5	(	(	PUNCT
ejpam-6643	82	6	v	v	NOUN
ejpam-6643	82	7	,	,	PUNCT
ejpam-6643	82	8	e	e	NOUN
ejpam-6643	82	9	)	)	PUNCT
ejpam-6643	82	10	is	be	AUX
ejpam-6643	82	11	a	a	DET
ejpam-6643	82	12	2	2	NUM
ejpam-6643	82	13	-	-	PUNCT
ejpam-6643	82	14	superhypergraph	superhypergraph	NOUN
ejpam-6643	82	15	representing	represent	VERB
ejpam-6643	82	16	the	the	DET
ejpam-6643	82	17	two	two	NUM
ejpam-6643	82	18	–	–	PUNCT
ejpam-6643	82	19	tier	tier	NOUN
ejpam-6643	82	20	module	module	NOUN
ejpam-6643	82	21	-	-	PUNCT
ejpam-6643	82	22	subsystem	subsystem	NOUN
ejpam-6643	82	23	structure	structure	NOUN
ejpam-6643	82	24	of	of	ADP
ejpam-6643	82	25	the	the	DET
ejpam-6643	82	26	software	software	NOUN
ejpam-6643	82	27	architecture	architecture	NOUN
ejpam-6643	82	28	.	.	PUNCT
ejpam-6643	83	1	2.2	2.2	NUM
ejpam-6643	83	2	.	.	PUNCT
ejpam-6643	83	3	soft	soft	ADJ
ejpam-6643	83	4	superhypergraph	superhypergraph	NOUN
ejpam-6643	83	5	soft	soft	ADJ
ejpam-6643	83	6	graphs	graph	NOUN
ejpam-6643	83	7	capture	capture	VERB
ejpam-6643	83	8	families	family	NOUN
ejpam-6643	83	9	of	of	ADP
ejpam-6643	83	10	subgraphs	subgraph	NOUN
ejpam-6643	83	11	indexed	index	VERB
ejpam-6643	83	12	by	by	ADP
ejpam-6643	83	13	a	a	DET
ejpam-6643	83	14	parameter	parameter	NOUN
ejpam-6643	83	15	set	set	NOUN
ejpam-6643	83	16	,	,	PUNCT
ejpam-6643	83	17	where	where	SCONJ
ejpam-6643	83	18	each	each	DET
ejpam-6643	83	19	parameter	parameter	NOUN
ejpam-6643	83	20	selects	select	VERB
ejpam-6643	83	21	a	a	DET
ejpam-6643	83	22	subgraph	subgraph	NOUN
ejpam-6643	83	23	on	on	ADP
ejpam-6643	83	24	a	a	DET
ejpam-6643	83	25	fixed	fix	VERB
ejpam-6643	83	26	vertex	vertex	NOUN
ejpam-6643	83	27	and	and	CCONJ
ejpam-6643	83	28	edge	edge	NOUN
ejpam-6643	83	29	base	base	NOUN
ejpam-6643	83	30	[	[	X
ejpam-6643	83	31	38	38	NUM
ejpam-6643	83	32	,	,	PUNCT
ejpam-6643	83	33	59	59	NUM
ejpam-6643	83	34	,	,	PUNCT
ejpam-6643	83	35	60	60	NUM
ejpam-6643	83	36	]	]	PUNCT
ejpam-6643	83	37	.	.	PUNCT
ejpam-6643	84	1	equivalently	equivalently	ADV
ejpam-6643	84	2	,	,	PUNCT
ejpam-6643	84	3	a	a	DET
ejpam-6643	84	4	soft	soft	ADJ
ejpam-6643	84	5	graph	graph	NOUN
ejpam-6643	84	6	realizes	realize	VERB
ejpam-6643	84	7	the	the	DET
ejpam-6643	84	8	concept	concept	NOUN
ejpam-6643	84	9	of	of	ADP
ejpam-6643	84	10	a	a	DET
ejpam-6643	84	11	soft	soft	ADJ
ejpam-6643	84	12	set	set	NOUN
ejpam-6643	84	13	—	—	PUNCT
ejpam-6643	84	14	a	a	DET
ejpam-6643	84	15	parameterized	parameterized	ADJ
ejpam-6643	84	16	collection	collection	NOUN
ejpam-6643	84	17	of	of	ADP
ejpam-6643	84	18	subsets	subset	NOUN
ejpam-6643	84	19	that	that	PRON
ejpam-6643	84	20	models	model	VERB
ejpam-6643	84	21	uncertainty	uncertainty	NOUN
ejpam-6643	84	22	or	or	CCONJ
ejpam-6643	84	23	preference	preference	NOUN
ejpam-6643	84	24	without	without	ADP
ejpam-6643	84	25	requiring	require	VERB
ejpam-6643	84	26	numeric	numeric	ADJ
ejpam-6643	84	27	membership	membership	NOUN
ejpam-6643	84	28	or	or	CCONJ
ejpam-6643	84	29	probability	probability	NOUN
ejpam-6643	84	30	assignments	assignment	NOUN
ejpam-6643	84	31	[	[	X
ejpam-6643	84	32	5	5	NUM
ejpam-6643	84	33	,	,	PUNCT
ejpam-6643	84	34	27	27	NUM
ejpam-6643	84	35	]	]	PUNCT
ejpam-6643	84	36	.	.	PUNCT
ejpam-6643	85	1	a	a	DET
ejpam-6643	85	2	soft	soft	ADJ
ejpam-6643	85	3	hypergraph	hypergraph	NOUN
ejpam-6643	85	4	extends	extend	VERB
ejpam-6643	85	5	this	this	DET
ejpam-6643	85	6	notion	notion	NOUN
ejpam-6643	85	7	by	by	ADP
ejpam-6643	85	8	associating	associate	VERB
ejpam-6643	85	9	each	each	DET
ejpam-6643	85	10	parameter	parameter	NOUN
ejpam-6643	85	11	with	with	ADP
ejpam-6643	85	12	a	a	DET
ejpam-6643	85	13	subset	subset	NOUN
ejpam-6643	85	14	of	of	ADP
ejpam-6643	85	15	vertices	vertex	NOUN
ejpam-6643	85	16	and	and	CCONJ
ejpam-6643	85	17	the	the	DET
ejpam-6643	85	18	induced	induced	ADJ
ejpam-6643	85	19	hyperedges	hyperedge	NOUN
ejpam-6643	85	20	within	within	ADP
ejpam-6643	85	21	a	a	DET
ejpam-6643	85	22	hypergraph	hypergraph	NOUN
ejpam-6643	85	23	[	[	X
ejpam-6643	85	24	61	61	NUM
ejpam-6643	85	25	]	]	PUNCT
ejpam-6643	85	26	.	.	PUNCT
ejpam-6643	86	1	finally	finally	ADV
ejpam-6643	86	2	,	,	PUNCT
ejpam-6643	86	3	a	a	DET
ejpam-6643	86	4	soft	soft	ADJ
ejpam-6643	86	5	n	n	CCONJ
ejpam-6643	86	6	-	-	PUNCT
ejpam-6643	86	7	superhypergraph	superhypergraph	NOUN
ejpam-6643	86	8	applies	apply	VERB
ejpam-6643	86	9	these	these	DET
ejpam-6643	86	10	parameterized	parameterized	ADJ
ejpam-6643	86	11	substructures	substructure	NOUN
ejpam-6643	86	12	to	to	ADP
ejpam-6643	86	13	each	each	DET
ejpam-6643	86	14	layer	layer	NOUN
ejpam-6643	86	15	of	of	ADP
ejpam-6643	86	16	an	an	DET
ejpam-6643	86	17	nsuperhypergraph	nsuperhypergraph	NOUN
ejpam-6643	86	18	,	,	PUNCT
ejpam-6643	86	19	yielding	yield	VERB
ejpam-6643	86	20	a	a	DET
ejpam-6643	86	21	hierarchically	hierarchically	ADV
ejpam-6643	86	22	organized	organize	VERB
ejpam-6643	86	23	,	,	PUNCT
ejpam-6643	86	24	uncertainty	uncertainty	NOUN
ejpam-6643	86	25	-	-	PUNCT
ejpam-6643	86	26	aware	aware	ADJ
ejpam-6643	86	27	model	model	NOUN
ejpam-6643	86	28	(	(	PUNCT
ejpam-6643	86	29	cf.[12	cf.[12	PROPN
ejpam-6643	86	30	]	]	PUNCT
ejpam-6643	86	31	)	)	PUNCT
ejpam-6643	86	32	.	.	PUNCT
ejpam-6643	87	1	definition	definition	NOUN
ejpam-6643	87	2	6	6	NUM
ejpam-6643	87	3	(	(	PUNCT
ejpam-6643	87	4	soft	soft	ADJ
ejpam-6643	87	5	hypergraph	hypergraph	NOUN
ejpam-6643	87	6	)	)	PUNCT
ejpam-6643	87	7	.	.	PUNCT
ejpam-6643	88	1	[	[	X
ejpam-6643	88	2	61	61	NUM
ejpam-6643	88	3	,	,	PUNCT
ejpam-6643	88	4	62	62	NUM
ejpam-6643	88	5	]	]	PUNCT
ejpam-6643	88	6	let	let	VERB
ejpam-6643	88	7	h	h	NOUN
ejpam-6643	88	8	=	=	PUNCT
ejpam-6643	88	9	(	(	PUNCT
ejpam-6643	88	10	v	v	NOUN
ejpam-6643	88	11	,	,	PUNCT
ejpam-6643	88	12	e	e	NOUN
ejpam-6643	88	13	)	)	PUNCT
ejpam-6643	88	14	be	be	AUX
ejpam-6643	88	15	a	a	DET
ejpam-6643	88	16	hypergraph	hypergraph	NOUN
ejpam-6643	88	17	with	with	ADP
ejpam-6643	88	18	e	e	PROPN
ejpam-6643	88	19	⊆	⊆	NUM
ejpam-6643	88	20	pows(v	pows(v	NOUN
ejpam-6643	88	21	)	)	PUNCT
ejpam-6643	88	22	,	,	PUNCT
ejpam-6643	88	23	and	and	CCONJ
ejpam-6643	88	24	let	let	VERB
ejpam-6643	88	25	c	c	PRON
ejpam-6643	88	26	be	be	AUX
ejpam-6643	88	27	a	a	DET
ejpam-6643	88	28	nonempty	nonempty	ADJ
ejpam-6643	88	29	set	set	NOUN
ejpam-6643	88	30	of	of	ADP
ejpam-6643	88	31	parameters	parameter	NOUN
ejpam-6643	88	32	.	.	PUNCT
ejpam-6643	89	1	a	a	DET
ejpam-6643	89	2	soft	soft	ADJ
ejpam-6643	89	3	hypergraph	hypergraph	NOUN
ejpam-6643	89	4	over	over	ADP
ejpam-6643	89	5	h	h	NOUN
ejpam-6643	89	6	with	with	ADP
ejpam-6643	89	7	parameters	parameter	NOUN
ejpam-6643	89	8	c	c	NOUN
ejpam-6643	89	9	is	be	AUX
ejpam-6643	89	10	a	a	DET
ejpam-6643	89	11	quadruple	quadruple	NOUN
ejpam-6643	89	12	(	(	PUNCT
ejpam-6643	89	13	h	h	NOUN
ejpam-6643	89	14	,	,	PUNCT
ejpam-6643	89	15	c	c	NOUN
ejpam-6643	89	16	,	,	PUNCT
ejpam-6643	89	17	a	a	DET
ejpam-6643	89	18	,	,	PUNCT
ejpam-6643	89	19	b	b	NOUN
ejpam-6643	89	20	)	)	PUNCT
ejpam-6643	89	21	,	,	PUNCT
ejpam-6643	89	22	where	where	SCONJ
ejpam-6643	89	23	a	a	PRON
ejpam-6643	89	24	:	:	PUNCT
ejpam-6643	89	25	c	c	NOUN
ejpam-6643	89	26	−→	−→	NOUN
ejpam-6643	89	27	pows(v	pows(v	PROPN
ejpam-6643	89	28	)	)	PUNCT
ejpam-6643	89	29	,	,	PUNCT
ejpam-6643	89	30	b	b	X
ejpam-6643	89	31	:	:	PUNCT
ejpam-6643	89	32	c	c	AUX
ejpam-6643	89	33	−→	−→	NOUN
ejpam-6643	89	34	pows(e	pows(e	PROPN
ejpam-6643	89	35	)	)	PUNCT
ejpam-6643	89	36	,	,	PUNCT
ejpam-6643	89	37	and	and	CCONJ
ejpam-6643	89	38	for	for	ADP
ejpam-6643	89	39	each	each	DET
ejpam-6643	89	40	c	c	NOUN
ejpam-6643	89	41	∈	∈	PROPN
ejpam-6643	89	42	c	c	X
ejpam-6643	89	43	,	,	PUNCT
ejpam-6643	89	44	b(c	b(c	NOUN
ejpam-6643	89	45	)	)	PUNCT
ejpam-6643	89	46	⊆	⊆	NUM
ejpam-6643	89	47	{	{	PUNCT
ejpam-6643	89	48	e	e	NOUN
ejpam-6643	89	49	∈	∈	PROPN
ejpam-6643	89	50	e	e	NOUN
ejpam-6643	89	51	|	|	NOUN
ejpam-6643	89	52	e	e	NOUN
ejpam-6643	89	53	⊆	⊆	NUM
ejpam-6643	89	54	a(c	a(c	NOUN
ejpam-6643	89	55	)	)	PUNCT
ejpam-6643	89	56	}	}	PUNCT
ejpam-6643	89	57	.	.	PUNCT
ejpam-6643	90	1	the	the	DET
ejpam-6643	90	2	pair	pair	NOUN
ejpam-6643	90	3	(	(	PUNCT
ejpam-6643	90	4	a(c	a(c	PROPN
ejpam-6643	90	5	)	)	PUNCT
ejpam-6643	90	6	,	,	PUNCT
ejpam-6643	90	7	b(c	b(c	NOUN
ejpam-6643	90	8	)	)	PUNCT
ejpam-6643	90	9	)	)	PUNCT
ejpam-6643	90	10	is	be	AUX
ejpam-6643	90	11	called	call	VERB
ejpam-6643	90	12	the	the	DET
ejpam-6643	90	13	soft	soft	ADJ
ejpam-6643	90	14	subhypergraph	subhypergraph	NOUN
ejpam-6643	90	15	of	of	ADP
ejpam-6643	90	16	h	h	PROPN
ejpam-6643	90	17	at	at	ADP
ejpam-6643	90	18	parameter	parameter	PROPN
ejpam-6643	90	19	c.	c.	PROPN
ejpam-6643	90	20	example	example	NOUN
ejpam-6643	90	21	3	3	NUM
ejpam-6643	90	22	(	(	PUNCT
ejpam-6643	90	23	university	university	NOUN
ejpam-6643	90	24	curriculum	curriculum	NOUN
ejpam-6643	90	25	as	as	ADP
ejpam-6643	90	26	a	a	DET
ejpam-6643	90	27	soft	soft	ADJ
ejpam-6643	90	28	hypergraph	hypergraph	NOUN
ejpam-6643	90	29	)	)	PUNCT
ejpam-6643	90	30	.	.	PUNCT
ejpam-6643	91	1	consider	consider	VERB
ejpam-6643	91	2	the	the	DET
ejpam-6643	91	3	hypergraph	hypergraph	NOUN
ejpam-6643	91	4	h	h	NOUN
ejpam-6643	91	5	=	=	PUNCT
ejpam-6643	91	6	(	(	PUNCT
ejpam-6643	91	7	v	v	NOUN
ejpam-6643	91	8	,	,	PUNCT
ejpam-6643	91	9	e	e	NOUN
ejpam-6643	91	10	)	)	PUNCT
ejpam-6643	91	11	where	where	SCONJ
ejpam-6643	91	12	v	v	NOUN
ejpam-6643	91	13	=	=	SYM
ejpam-6643	91	14	{	{	PUNCT
ejpam-6643	91	15	calculus	calculus	NOUN
ejpam-6643	91	16	,	,	PUNCT
ejpam-6643	91	17	linear	linear	PROPN
ejpam-6643	91	18	algebra	algebra	NOUN
ejpam-6643	91	19	,	,	PUNCT
ejpam-6643	91	20	data	datum	NOUN
ejpam-6643	91	21	structures	structure	NOUN
ejpam-6643	91	22	,	,	PUNCT
ejpam-6643	91	23	operating	operating	NOUN
ejpam-6643	91	24	systems	system	NOUN
ejpam-6643	91	25	,	,	PUNCT
ejpam-6643	91	26	networks	network	NOUN
ejpam-6643	91	27	}	}	PUNCT
ejpam-6643	91	28	,	,	PUNCT
ejpam-6643	91	29	e	e	X
ejpam-6643	91	30	=	=	PRON
ejpam-6643	91	31	{	{	PUNCT
ejpam-6643	91	32	emath	emath	NOUN
ejpam-6643	91	33	=	=	PUNCT
ejpam-6643	91	34	{	{	PUNCT
ejpam-6643	91	35	calculus	calculus	NOUN
ejpam-6643	91	36	,	,	PUNCT
ejpam-6643	91	37	linear	linear	PROPN
ejpam-6643	91	38	algebra	algebra	PROPN
ejpam-6643	91	39	}	}	PUNCT
ejpam-6643	91	40	,	,	PUNCT
ejpam-6643	91	41	ecs	ecs	X
ejpam-6643	91	42	=	=	SYM
ejpam-6643	91	43	{	{	PUNCT
ejpam-6643	91	44	data	datum	NOUN
ejpam-6643	91	45	structures	structure	NOUN
ejpam-6643	91	46	,	,	PUNCT
ejpam-6643	91	47	operating	operating	NOUN
ejpam-6643	91	48	systems	system	NOUN
ejpam-6643	91	49	,	,	PUNCT
ejpam-6643	91	50	networks	network	NOUN
ejpam-6643	91	51	}	}	PUNCT
ejpam-6643	91	52	,	,	PUNCT
ejpam-6643	91	53	ecomp	ecomp	NOUN
ejpam-6643	91	54	=	=	SYM
ejpam-6643	91	55	{	{	PUNCT
ejpam-6643	91	56	linear	linear	PROPN
ejpam-6643	91	57	algebra	algebra	PROPN
ejpam-6643	91	58	,	,	PUNCT
ejpam-6643	91	59	data	datum	NOUN
ejpam-6643	91	60	structures	structure	NOUN
ejpam-6643	91	61	}	}	PUNCT
ejpam-6643	91	62	}	}	PUNCT
ejpam-6643	91	63	.	.	PUNCT
ejpam-6643	92	1	let	let	VERB
ejpam-6643	92	2	c	c	NOUN
ejpam-6643	92	3	=	=	PRON
ejpam-6643	92	4	{	{	PUNCT
ejpam-6643	92	5	math	math	NOUN
ejpam-6643	92	6	,	,	PUNCT
ejpam-6643	92	7	cs	cs	X
ejpam-6643	92	8	,	,	PUNCT
ejpam-6643	92	9	inter	inter	ADJ
ejpam-6643	92	10	}	}	PUNCT
ejpam-6643	92	11	be	be	VERB
ejpam-6643	92	12	the	the	DET
ejpam-6643	92	13	set	set	NOUN
ejpam-6643	92	14	of	of	ADP
ejpam-6643	92	15	program	program	NOUN
ejpam-6643	92	16	-	-	PUNCT
ejpam-6643	92	17	type	type	NOUN
ejpam-6643	92	18	parameters	parameter	NOUN
ejpam-6643	92	19	,	,	PUNCT
ejpam-6643	92	20	and	and	CCONJ
ejpam-6643	92	21	define	define	VERB
ejpam-6643	92	22	a(math	a(math	NOUN
ejpam-6643	92	23	)	)	PUNCT
ejpam-6643	93	1	=	=	PRON
ejpam-6643	93	2	{	{	PUNCT
ejpam-6643	93	3	calculus	calculus	NOUN
ejpam-6643	93	4	,	,	PUNCT
ejpam-6643	93	5	linear	linear	PROPN
ejpam-6643	93	6	algebra	algebra	PROPN
ejpam-6643	93	7	}	}	PUNCT
ejpam-6643	93	8	,	,	PUNCT
ejpam-6643	93	9	b(math	b(math	NOUN
ejpam-6643	93	10	)	)	PUNCT
ejpam-6643	93	11	=	=	SYM
ejpam-6643	93	12	{	{	PUNCT
ejpam-6643	93	13	emath	emath	NOUN
ejpam-6643	93	14	}	}	PUNCT
ejpam-6643	93	15	,	,	PUNCT
ejpam-6643	93	16	a(cs	a(c	NOUN
ejpam-6643	93	17	)	)	PUNCT
ejpam-6643	93	18	=	=	PRON
ejpam-6643	93	19	{	{	PUNCT
ejpam-6643	93	20	data	datum	NOUN
ejpam-6643	93	21	structures	structure	NOUN
ejpam-6643	93	22	,	,	PUNCT
ejpam-6643	93	23	operating	operating	NOUN
ejpam-6643	93	24	systems	system	NOUN
ejpam-6643	93	25	,	,	PUNCT
ejpam-6643	93	26	networks	network	NOUN
ejpam-6643	93	27	}	}	PUNCT
ejpam-6643	93	28	,	,	PUNCT
ejpam-6643	93	29	b(cs	b(c	NOUN
ejpam-6643	93	30	)	)	PUNCT
ejpam-6643	93	31	=	=	SYM
ejpam-6643	93	32	{	{	PUNCT
ejpam-6643	93	33	ecs	ecs	PROPN
ejpam-6643	93	34	}	}	PUNCT
ejpam-6643	93	35	,	,	PUNCT
ejpam-6643	93	36	a(inter	a(inter	ADJ
ejpam-6643	93	37	)	)	PUNCT
ejpam-6643	93	38	=	=	SYM
ejpam-6643	93	39	{	{	PUNCT
ejpam-6643	93	40	linear	linear	PROPN
ejpam-6643	93	41	algebra	algebra	PROPN
ejpam-6643	93	42	,	,	PUNCT
ejpam-6643	93	43	data	datum	NOUN
ejpam-6643	93	44	structures	structure	NOUN
ejpam-6643	93	45	}	}	PUNCT
ejpam-6643	93	46	,	,	PUNCT
ejpam-6643	93	47	b(inter	b(inter	NOUN
ejpam-6643	93	48	)	)	PUNCT
ejpam-6643	93	49	=	=	SYM
ejpam-6643	93	50	{	{	PUNCT
ejpam-6643	93	51	ecomp	ecomp	NOUN
ejpam-6643	93	52	}	}	PUNCT
ejpam-6643	93	53	.	.	PUNCT
ejpam-6643	94	1	then	then	ADV
ejpam-6643	94	2	(	(	PUNCT
ejpam-6643	94	3	h	h	NOUN
ejpam-6643	94	4	,	,	PUNCT
ejpam-6643	94	5	c	c	NOUN
ejpam-6643	94	6	,	,	PUNCT
ejpam-6643	94	7	a	a	DET
ejpam-6643	94	8	,	,	PUNCT
ejpam-6643	94	9	b	b	NOUN
ejpam-6643	94	10	)	)	PUNCT
ejpam-6643	94	11	is	be	AUX
ejpam-6643	94	12	a	a	DET
ejpam-6643	94	13	soft	soft	ADJ
ejpam-6643	94	14	hypergraph	hypergraph	NOUN
ejpam-6643	94	15	in	in	ADP
ejpam-6643	94	16	which	which	PRON
ejpam-6643	94	17	each	each	DET
ejpam-6643	94	18	parameter	parameter	NOUN
ejpam-6643	94	19	c	c	PROPN
ejpam-6643	94	20	∈	∈	PROPN
ejpam-6643	94	21	c	c	PROPN
ejpam-6643	94	22	induces	induce	VERB
ejpam-6643	94	23	the	the	DET
ejpam-6643	94	24	subhypergraph	subhypergraph	NOUN
ejpam-6643	94	25	(	(	PUNCT
ejpam-6643	94	26	a(c	a(c	PROPN
ejpam-6643	94	27	)	)	PUNCT
ejpam-6643	94	28	,	,	PUNCT
ejpam-6643	94	29	b(c	b(c	NOUN
ejpam-6643	94	30	)	)	PUNCT
ejpam-6643	94	31	)	)	PUNCT
ejpam-6643	95	1	corresponding	correspond	VERB
ejpam-6643	95	2	to	to	ADP
ejpam-6643	95	3	the	the	DET
ejpam-6643	95	4	courses	course	NOUN
ejpam-6643	95	5	and	and	CCONJ
ejpam-6643	95	6	curriculum	curriculum	NOUN
ejpam-6643	95	7	bundles	bundle	NOUN
ejpam-6643	95	8	for	for	ADP
ejpam-6643	95	9	that	that	DET
ejpam-6643	95	10	program	program	NOUN
ejpam-6643	95	11	type	type	NOUN
ejpam-6643	95	12	.	.	PUNCT
ejpam-6643	96	1	t.	t.	PROPN
ejpam-6643	96	2	fujita	fujita	PROPN
ejpam-6643	96	3	,	,	PUNCT
ejpam-6643	96	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	96	5	/	/	SYM
ejpam-6643	96	6	eur	eur	PROPN
ejpam-6643	96	7	.	.	PUNCT
ejpam-6643	97	1	j.	j.	PROPN
ejpam-6643	97	2	pure	pure	PROPN
ejpam-6643	97	3	appl	appl	PROPN
ejpam-6643	97	4	.	.	PROPN
ejpam-6643	97	5	math	math	PROPN
ejpam-6643	97	6	,	,	PUNCT
ejpam-6643	97	7	18	18	NUM
ejpam-6643	97	8	(	(	PUNCT
ejpam-6643	97	9	4	4	NUM
ejpam-6643	97	10	)	)	PUNCT
ejpam-6643	97	11	(	(	PUNCT
ejpam-6643	97	12	2025	2025	NUM
ejpam-6643	97	13	)	)	PUNCT
ejpam-6643	97	14	,	,	PUNCT
ejpam-6643	97	15	6643	6643	NUM
ejpam-6643	97	16	6	6	NUM
ejpam-6643	97	17	of	of	ADP
ejpam-6643	97	18	27	27	NUM
ejpam-6643	97	19	definition	definition	NOUN
ejpam-6643	97	20	7	7	NUM
ejpam-6643	97	21	(	(	PUNCT
ejpam-6643	97	22	soft	soft	ADJ
ejpam-6643	97	23	n	n	CCONJ
ejpam-6643	97	24	-	-	PUNCT
ejpam-6643	97	25	superhypergraph	superhypergraph	NOUN
ejpam-6643	97	26	)	)	PUNCT
ejpam-6643	97	27	.	.	PUNCT
ejpam-6643	98	1	[	[	X
ejpam-6643	98	2	12	12	NUM
ejpam-6643	98	3	]	]	PUNCT
ejpam-6643	98	4	let	let	VERB
ejpam-6643	98	5	suhg(n	suhg(n	NOUN
ejpam-6643	98	6	)	)	PUNCT
ejpam-6643	98	7	=	=	SYM
ejpam-6643	98	8	(	(	PUNCT
ejpam-6643	98	9	v	v	NOUN
ejpam-6643	98	10	,	,	PUNCT
ejpam-6643	98	11	e	e	NOUN
ejpam-6643	98	12	)	)	PUNCT
ejpam-6643	98	13	be	be	AUX
ejpam-6643	98	14	an	an	DET
ejpam-6643	98	15	n	n	NOUN
ejpam-6643	98	16	-	-	PUNCT
ejpam-6643	98	17	superhypergraph	superhypergraph	NOUN
ejpam-6643	98	18	,	,	PUNCT
ejpam-6643	98	19	and	and	CCONJ
ejpam-6643	98	20	let	let	VERB
ejpam-6643	98	21	c	c	PRON
ejpam-6643	98	22	be	be	AUX
ejpam-6643	98	23	a	a	DET
ejpam-6643	98	24	nonempty	nonempty	ADJ
ejpam-6643	98	25	parameter	parameter	NOUN
ejpam-6643	98	26	set	set	NOUN
ejpam-6643	98	27	.	.	PUNCT
ejpam-6643	99	1	a	a	DET
ejpam-6643	99	2	soft	soft	ADJ
ejpam-6643	99	3	n	n	CCONJ
ejpam-6643	99	4	-	-	PUNCT
ejpam-6643	99	5	superhypergraph	superhypergraph	NOUN
ejpam-6643	99	6	is	be	AUX
ejpam-6643	99	7	a	a	DET
ejpam-6643	99	8	quintuple	quintuple	NOUN
ejpam-6643	99	9	(	(	PUNCT
ejpam-6643	99	10	v	v	NOUN
ejpam-6643	99	11	,	,	PUNCT
ejpam-6643	99	12	e	e	NOUN
ejpam-6643	99	13	,	,	PUNCT
ejpam-6643	99	14	c	c	X
ejpam-6643	99	15	,	,	PUNCT
ejpam-6643	99	16	a	a	DET
ejpam-6643	99	17	,	,	PUNCT
ejpam-6643	99	18	b	b	NOUN
ejpam-6643	99	19	)	)	PUNCT
ejpam-6643	99	20	,	,	PUNCT
ejpam-6643	99	21	where	where	SCONJ
ejpam-6643	99	22	a	a	PRON
ejpam-6643	99	23	:	:	PUNCT
ejpam-6643	99	24	c	c	NOUN
ejpam-6643	99	25	−→	−→	NOUN
ejpam-6643	99	26	pows(v	pows(v	PROPN
ejpam-6643	99	27	)	)	PUNCT
ejpam-6643	99	28	,	,	PUNCT
ejpam-6643	99	29	b	b	X
ejpam-6643	99	30	:	:	PUNCT
ejpam-6643	99	31	c	c	AUX
ejpam-6643	99	32	−→	−→	NOUN
ejpam-6643	99	33	pows(e	pows(e	PROPN
ejpam-6643	99	34	)	)	PUNCT
ejpam-6643	99	35	,	,	PUNCT
ejpam-6643	99	36	such	such	ADJ
ejpam-6643	99	37	that	that	PRON
ejpam-6643	99	38	for	for	ADP
ejpam-6643	99	39	every	every	DET
ejpam-6643	99	40	c	c	PROPN
ejpam-6643	99	41	∈	∈	PROPN
ejpam-6643	99	42	c	c	X
ejpam-6643	99	43	,	,	PUNCT
ejpam-6643	99	44	a(c	a(c	PROPN
ejpam-6643	99	45	)	)	PUNCT
ejpam-6643	99	46	⊆	⊆	NUM
ejpam-6643	99	47	v	v	NOUN
ejpam-6643	99	48	,	,	PUNCT
ejpam-6643	99	49	b(c	b(c	NOUN
ejpam-6643	99	50	)	)	PUNCT
ejpam-6643	99	51	⊆	⊆	NUM
ejpam-6643	99	52	{	{	PUNCT
ejpam-6643	99	53	e	e	NOUN
ejpam-6643	99	54	∈	∈	PROPN
ejpam-6643	99	55	e	e	NOUN
ejpam-6643	99	56	|	|	NOUN
ejpam-6643	99	57	e	e	NOUN
ejpam-6643	99	58	⊆	⊆	NUM
ejpam-6643	99	59	a(c	a(c	NOUN
ejpam-6643	99	60	)	)	PUNCT
ejpam-6643	99	61	}	}	PUNCT
ejpam-6643	99	62	.	.	PUNCT
ejpam-6643	100	1	thus	thus	ADV
ejpam-6643	100	2	(	(	PUNCT
ejpam-6643	100	3	a(c	a(c	NOUN
ejpam-6643	100	4	)	)	PUNCT
ejpam-6643	100	5	,	,	PUNCT
ejpam-6643	100	6	b(c	b(c	NOUN
ejpam-6643	100	7	)	)	PUNCT
ejpam-6643	100	8	)	)	PUNCT
ejpam-6643	100	9	is	be	AUX
ejpam-6643	100	10	a	a	DET
ejpam-6643	100	11	sub	sub	NOUN
ejpam-6643	100	12	-	-	NOUN
ejpam-6643	100	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	100	14	of	of	ADP
ejpam-6643	100	15	suhg(n	suhg(n	NOUN
ejpam-6643	100	16	)	)	PUNCT
ejpam-6643	100	17	at	at	ADP
ejpam-6643	100	18	parameter	parameter	PROPN
ejpam-6643	100	19	c.	c.	PROPN
ejpam-6643	100	20	example	example	PROPN
ejpam-6643	100	21	4	4	NUM
ejpam-6643	100	22	(	(	PUNCT
ejpam-6643	100	23	personalized	personalized	ADJ
ejpam-6643	100	24	curriculum	curriculum	NOUN
ejpam-6643	100	25	planning	plan	VERB
ejpam-6643	100	26	as	as	ADP
ejpam-6643	100	27	a	a	DET
ejpam-6643	100	28	soft	soft	ADJ
ejpam-6643	100	29	2	2	NUM
ejpam-6643	100	30	-	-	PUNCT
ejpam-6643	100	31	superhypergraph	superhypergraph	NOUN
ejpam-6643	100	32	)	)	PUNCT
ejpam-6643	100	33	.	.	PUNCT
ejpam-6643	101	1	imagine	imagine	VERB
ejpam-6643	101	2	a	a	DET
ejpam-6643	101	3	university	university	NOUN
ejpam-6643	101	4	offering	offer	VERB
ejpam-6643	101	5	a	a	DET
ejpam-6643	101	6	modular	modular	ADJ
ejpam-6643	101	7	curriculum	curriculum	NOUN
ejpam-6643	101	8	.	.	PUNCT
ejpam-6643	102	1	the	the	DET
ejpam-6643	102	2	ground	ground	NOUN
ejpam-6643	102	3	set	set	NOUN
ejpam-6643	102	4	of	of	ADP
ejpam-6643	102	5	all	all	DET
ejpam-6643	102	6	courses	course	NOUN
ejpam-6643	102	7	is	be	AUX
ejpam-6643	102	8	s	s	NOUN
ejpam-6643	102	9	=	=	PUNCT
ejpam-6643	102	10	{	{	PUNCT
ejpam-6643	102	11	calculus	calculus	NOUN
ejpam-6643	102	12	,	,	PUNCT
ejpam-6643	102	13	programming	programming	NOUN
ejpam-6643	102	14	,	,	PUNCT
ejpam-6643	102	15	statistics	statistic	NOUN
ejpam-6643	102	16	,	,	PUNCT
ejpam-6643	102	17	logic	logic	NOUN
ejpam-6643	102	18	}	}	PUNCT
ejpam-6643	102	19	.	.	PUNCT
ejpam-6643	103	1	at	at	ADP
ejpam-6643	103	2	the	the	DET
ejpam-6643	103	3	first	first	ADJ
ejpam-6643	103	4	level	level	NOUN
ejpam-6643	103	5	,	,	PUNCT
ejpam-6643	103	6	courses	course	NOUN
ejpam-6643	103	7	are	be	AUX
ejpam-6643	103	8	grouped	group	VERB
ejpam-6643	103	9	into	into	ADP
ejpam-6643	103	10	subject	subject	ADJ
ejpam-6643	103	11	areas	area	NOUN
ejpam-6643	103	12	(	(	PUNCT
ejpam-6643	103	13	first	first	ADJ
ejpam-6643	103	14	-	-	PUNCT
ejpam-6643	103	15	level	level	NOUN
ejpam-6643	103	16	supervertices	supervertice	NOUN
ejpam-6643	103	17	):	):	PUNCT
ejpam-6643	103	18	v1	v1	NOUN
ejpam-6643	103	19	=	=	SYM
ejpam-6643	103	20	{	{	PUNCT
ejpam-6643	103	21	mmath	mmath	NOUN
ejpam-6643	103	22	=	=	SYM
ejpam-6643	103	23	{	{	PUNCT
ejpam-6643	103	24	calculus	calculus	NOUN
ejpam-6643	103	25	,	,	PUNCT
ejpam-6643	103	26	statistics	statistic	NOUN
ejpam-6643	103	27	}	}	PUNCT
ejpam-6643	103	28	,	,	PUNCT
ejpam-6643	103	29	mcs	mcs	PROPN
ejpam-6643	103	30	=	=	PROPN
ejpam-6643	103	31	{	{	PUNCT
ejpam-6643	103	32	programming	programming	NOUN
ejpam-6643	103	33	,	,	PUNCT
ejpam-6643	103	34	logic	logic	NOUN
ejpam-6643	103	35	}	}	PUNCT
ejpam-6643	103	36	}	}	PUNCT
ejpam-6643	103	37	⊆	⊆	NUM
ejpam-6643	103	38	pows1(s	pows1(	NOUN
ejpam-6643	103	39	)	)	PUNCT
ejpam-6643	103	40	.	.	PUNCT
ejpam-6643	104	1	at	at	ADP
ejpam-6643	104	2	the	the	DET
ejpam-6643	104	3	second	second	ADJ
ejpam-6643	104	4	level	level	NOUN
ejpam-6643	104	5	,	,	PUNCT
ejpam-6643	104	6	these	these	DET
ejpam-6643	104	7	areas	area	NOUN
ejpam-6643	104	8	form	form	VERB
ejpam-6643	104	9	broader	broad	ADJ
ejpam-6643	104	10	tracks	track	NOUN
ejpam-6643	104	11	(	(	PUNCT
ejpam-6643	104	12	second	second	ADJ
ejpam-6643	104	13	-	-	PUNCT
ejpam-6643	104	14	level	level	NOUN
ejpam-6643	104	15	supervertices	supervertice	NOUN
ejpam-6643	104	16	):	):	PUNCT
ejpam-6643	104	17	v2	v2	NOUN
ejpam-6643	104	18	=	=	SYM
ejpam-6643	104	19	{	{	PUNCT
ejpam-6643	104	20	t1	t1	NOUN
ejpam-6643	104	21	=	=	PUNCT
ejpam-6643	104	22	{	{	PUNCT
ejpam-6643	104	23	mmath	mmath	NOUN
ejpam-6643	104	24	}	}	PUNCT
ejpam-6643	104	25	,	,	PUNCT
ejpam-6643	104	26	t2	t2	NOUN
ejpam-6643	104	27	=	=	SYM
ejpam-6643	104	28	{	{	PUNCT
ejpam-6643	104	29	mcs	mcs	NOUN
ejpam-6643	104	30	}	}	PUNCT
ejpam-6643	104	31	,	,	PUNCT
ejpam-6643	104	32	tall	tall	ADJ
ejpam-6643	104	33	=	=	PRON
ejpam-6643	104	34	{	{	PUNCT
ejpam-6643	104	35	mmath	mmath	PROPN
ejpam-6643	104	36	,	,	PUNCT
ejpam-6643	104	37	mcs	mcs	PROPN
ejpam-6643	104	38	}	}	PUNCT
ejpam-6643	104	39	}	}	PUNCT
ejpam-6643	104	40	⊆	⊆	NUM
ejpam-6643	104	41	pows2(s	pows2(s	NOUN
ejpam-6643	104	42	)	)	PUNCT
ejpam-6643	104	43	.	.	PUNCT
ejpam-6643	105	1	we	we	PRON
ejpam-6643	105	2	define	define	VERB
ejpam-6643	105	3	the	the	DET
ejpam-6643	105	4	set	set	NOUN
ejpam-6643	105	5	of	of	ADP
ejpam-6643	105	6	second	second	ADJ
ejpam-6643	105	7	-	-	PUNCT
ejpam-6643	105	8	level	level	NOUN
ejpam-6643	105	9	“	"	PUNCT
ejpam-6643	105	10	superedges	superedge	NOUN
ejpam-6643	105	11	”	"	PUNCT
ejpam-6643	105	12	to	to	PART
ejpam-6643	105	13	indicate	indicate	VERB
ejpam-6643	105	14	available	available	ADJ
ejpam-6643	105	15	program	program	NOUN
ejpam-6643	105	16	pathways	pathway	NOUN
ejpam-6643	105	17	:	:	PUNCT
ejpam-6643	106	1	e	e	X
ejpam-6643	106	2	=	=	PRON
ejpam-6643	106	3	{	{	PUNCT
ejpam-6643	106	4	e1	e1	PROPN
ejpam-6643	106	5	=	=	SYM
ejpam-6643	106	6	{	{	PUNCT
ejpam-6643	106	7	mmath	mmath	ADJ
ejpam-6643	106	8	,	,	PUNCT
ejpam-6643	106	9	tall	tall	ADJ
ejpam-6643	106	10	}	}	PUNCT
ejpam-6643	106	11	,	,	PUNCT
ejpam-6643	106	12	e2	e2	PROPN
ejpam-6643	106	13	=	=	SYM
ejpam-6643	106	14	{	{	PUNCT
ejpam-6643	106	15	mcs	mcs	PROPN
ejpam-6643	106	16	,	,	PUNCT
ejpam-6643	106	17	tall	tall	ADJ
ejpam-6643	106	18	}	}	PUNCT
ejpam-6643	106	19	}	}	PUNCT
ejpam-6643	106	20	,	,	PUNCT
ejpam-6643	106	21	so	so	SCONJ
ejpam-6643	106	22	that	that	SCONJ
ejpam-6643	106	23	e1	e1	PROPN
ejpam-6643	106	24	and	and	CCONJ
ejpam-6643	106	25	e2	e2	PROPN
ejpam-6643	106	26	represent	represent	VERB
ejpam-6643	106	27	progression	progression	NOUN
ejpam-6643	106	28	from	from	ADP
ejpam-6643	106	29	a	a	DET
ejpam-6643	106	30	subject	subject	ADJ
ejpam-6643	106	31	area	area	NOUN
ejpam-6643	106	32	into	into	ADP
ejpam-6643	106	33	the	the	DET
ejpam-6643	106	34	comprehensive	comprehensive	ADJ
ejpam-6643	106	35	track	track	NOUN
ejpam-6643	106	36	.	.	PUNCT
ejpam-6643	107	1	next	next	ADV
ejpam-6643	107	2	,	,	PUNCT
ejpam-6643	107	3	let	let	VERB
ejpam-6643	107	4	the	the	DET
ejpam-6643	107	5	parameter	parameter	NOUN
ejpam-6643	107	6	set	set	VERB
ejpam-6643	107	7	c	c	PROPN
ejpam-6643	107	8	capture	capture	VERB
ejpam-6643	107	9	two	two	NUM
ejpam-6643	107	10	different	different	ADJ
ejpam-6643	107	11	student	student	NOUN
ejpam-6643	107	12	profiles	profile	NOUN
ejpam-6643	107	13	:	:	PUNCT
ejpam-6643	107	14	c	c	X
ejpam-6643	107	15	=	=	PRON
ejpam-6643	107	16	{	{	PUNCT
ejpam-6643	107	17	math	math	NOUN
ejpam-6643	107	18	-	-	PUNCT
ejpam-6643	107	19	focused	focused	ADJ
ejpam-6643	107	20	,	,	PUNCT
ejpam-6643	107	21	cs	cs	ADJ
ejpam-6643	107	22	-	-	ADJ
ejpam-6643	107	23	focused	focused	ADJ
ejpam-6643	107	24	}	}	PUNCT
ejpam-6643	107	25	.	.	PUNCT
ejpam-6643	108	1	define	define	VERB
ejpam-6643	108	2	soft	soft	ADJ
ejpam-6643	108	3	selection	selection	NOUN
ejpam-6643	108	4	maps	map	NOUN
ejpam-6643	108	5	a	a	DET
ejpam-6643	108	6	:	:	PUNCT
ejpam-6643	108	7	c	c	PROPN
ejpam-6643	108	8	−→	−→	ADJ
ejpam-6643	108	9	pows(v2	pows(v2	NOUN
ejpam-6643	108	10	)	)	PUNCT
ejpam-6643	108	11	,	,	PUNCT
ejpam-6643	108	12	b	b	X
ejpam-6643	108	13	:	:	PUNCT
ejpam-6643	108	14	c	c	X
ejpam-6643	108	15	−→	−→	NOUN
ejpam-6643	108	16	pows(e	pows(e	PROPN
ejpam-6643	108	17	)	)	PUNCT
ejpam-6643	108	18	,	,	PUNCT
ejpam-6643	108	19	by	by	ADP
ejpam-6643	108	20	a(math	a(math	NOUN
ejpam-6643	108	21	-	-	PUNCT
ejpam-6643	108	22	focused	focus	VERB
ejpam-6643	108	23	)	)	PUNCT
ejpam-6643	108	24	=	=	PRON
ejpam-6643	108	25	{	{	PUNCT
ejpam-6643	108	26	t1	t1	NOUN
ejpam-6643	108	27	,	,	PUNCT
ejpam-6643	108	28	tall	tall	ADJ
ejpam-6643	108	29	}	}	PUNCT
ejpam-6643	108	30	,	,	PUNCT
ejpam-6643	108	31	b(math	b(math	NOUN
ejpam-6643	108	32	-	-	PUNCT
ejpam-6643	108	33	focused	focused	ADJ
ejpam-6643	108	34	)	)	PUNCT
ejpam-6643	109	1	=	=	PRON
ejpam-6643	109	2	{	{	PUNCT
ejpam-6643	109	3	e1	e1	PROPN
ejpam-6643	109	4	}	}	PUNCT
ejpam-6643	109	5	,	,	PUNCT
ejpam-6643	109	6	a(cs	a(c	NOUN
ejpam-6643	109	7	-	-	ADJ
ejpam-6643	109	8	focused	focused	ADJ
ejpam-6643	109	9	)	)	PUNCT
ejpam-6643	109	10	=	=	PRON
ejpam-6643	109	11	{	{	PUNCT
ejpam-6643	109	12	t2	t2	NOUN
ejpam-6643	109	13	,	,	PUNCT
ejpam-6643	109	14	tall	tall	ADJ
ejpam-6643	109	15	}	}	PUNCT
ejpam-6643	109	16	,	,	PUNCT
ejpam-6643	109	17	b(cs	b(cs	PROPN
ejpam-6643	109	18	-	-	ADJ
ejpam-6643	109	19	focused	focused	ADJ
ejpam-6643	109	20	)	)	PUNCT
ejpam-6643	110	1	=	=	PRON
ejpam-6643	110	2	{	{	PUNCT
ejpam-6643	110	3	e2	e2	PROPN
ejpam-6643	110	4	}	}	PUNCT
ejpam-6643	110	5	.	.	PUNCT
ejpam-6643	111	1	•	•	NOUN
ejpam-6643	111	2	under	under	ADP
ejpam-6643	111	3	the	the	DET
ejpam-6643	111	4	math	math	NOUN
ejpam-6643	111	5	-	-	PUNCT
ejpam-6643	111	6	focused	focus	VERB
ejpam-6643	111	7	profile	profile	NOUN
ejpam-6643	111	8	,	,	PUNCT
ejpam-6643	111	9	a	a	DET
ejpam-6643	111	10	student	student	NOUN
ejpam-6643	111	11	selects	select	VERB
ejpam-6643	111	12	the	the	DET
ejpam-6643	111	13	mathematics	mathematics	PROPN
ejpam-6643	111	14	area	area	NOUN
ejpam-6643	111	15	first	first	ADV
ejpam-6643	111	16	(	(	PUNCT
ejpam-6643	111	17	t1	t1	NOUN
ejpam-6643	111	18	)	)	PUNCT
ejpam-6643	111	19	and	and	CCONJ
ejpam-6643	111	20	then	then	ADV
ejpam-6643	111	21	the	the	DET
ejpam-6643	111	22	joint	joint	ADJ
ejpam-6643	111	23	track	track	NOUN
ejpam-6643	111	24	(	(	PUNCT
ejpam-6643	111	25	tall	tall	ADJ
ejpam-6643	111	26	)	)	PUNCT
ejpam-6643	111	27	,	,	PUNCT
ejpam-6643	111	28	following	follow	VERB
ejpam-6643	111	29	edge	edge	NOUN
ejpam-6643	111	30	e1	e1	PROPN
ejpam-6643	111	31	.	.	PUNCT
ejpam-6643	112	1	•	•	NOUN
ejpam-6643	112	2	under	under	ADP
ejpam-6643	112	3	the	the	DET
ejpam-6643	112	4	cs	cs	ADJ
ejpam-6643	112	5	-	-	ADJ
ejpam-6643	112	6	focused	focus	VERB
ejpam-6643	112	7	profile	profile	NOUN
ejpam-6643	112	8	,	,	PUNCT
ejpam-6643	112	9	the	the	DET
ejpam-6643	112	10	programming	programming	NOUN
ejpam-6643	112	11	–	–	PUNCT
ejpam-6643	112	12	logic	logic	NOUN
ejpam-6643	112	13	area	area	NOUN
ejpam-6643	112	14	(	(	PUNCT
ejpam-6643	112	15	t2	t2	NOUN
ejpam-6643	112	16	)	)	PUNCT
ejpam-6643	112	17	leads	lead	VERB
ejpam-6643	112	18	into	into	ADP
ejpam-6643	112	19	the	the	DET
ejpam-6643	112	20	joint	joint	ADJ
ejpam-6643	112	21	track	track	NOUN
ejpam-6643	112	22	,	,	PUNCT
ejpam-6643	112	23	via	via	ADP
ejpam-6643	112	24	edge	edge	NOUN
ejpam-6643	112	25	e2	e2	PROPN
ejpam-6643	112	26	.	.	PUNCT
ejpam-6643	113	1	t.	t.	PROPN
ejpam-6643	113	2	fujita	fujita	PROPN
ejpam-6643	113	3	,	,	PUNCT
ejpam-6643	113	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	113	5	/	/	SYM
ejpam-6643	113	6	eur	eur	PROPN
ejpam-6643	113	7	.	.	PUNCT
ejpam-6643	114	1	j.	j.	PROPN
ejpam-6643	114	2	pure	pure	PROPN
ejpam-6643	114	3	appl	appl	PROPN
ejpam-6643	114	4	.	.	PROPN
ejpam-6643	114	5	math	math	PROPN
ejpam-6643	114	6	,	,	PUNCT
ejpam-6643	114	7	18	18	NUM
ejpam-6643	114	8	(	(	PUNCT
ejpam-6643	114	9	4	4	NUM
ejpam-6643	114	10	)	)	PUNCT
ejpam-6643	114	11	(	(	PUNCT
ejpam-6643	114	12	2025	2025	NUM
ejpam-6643	114	13	)	)	PUNCT
ejpam-6643	114	14	,	,	PUNCT
ejpam-6643	114	15	6643	6643	NUM
ejpam-6643	114	16	7	7	NUM
ejpam-6643	114	17	of	of	ADP
ejpam-6643	114	18	27	27	NUM
ejpam-6643	114	19	thus	thus	ADV
ejpam-6643	114	20	the	the	DET
ejpam-6643	114	21	quintuple	quintuple	NOUN
ejpam-6643	114	22	(	(	PUNCT
ejpam-6643	114	23	v2	v2	PROPN
ejpam-6643	114	24	,	,	PUNCT
ejpam-6643	114	25	e	e	NOUN
ejpam-6643	114	26	,	,	PUNCT
ejpam-6643	114	27	c	c	X
ejpam-6643	114	28	,	,	PUNCT
ejpam-6643	114	29	a	a	DET
ejpam-6643	114	30	,	,	PUNCT
ejpam-6643	114	31	b	b	NOUN
ejpam-6643	114	32	)	)	PUNCT
ejpam-6643	114	33	is	be	AUX
ejpam-6643	114	34	a	a	DET
ejpam-6643	114	35	soft	soft	ADJ
ejpam-6643	114	36	2	2	NUM
ejpam-6643	114	37	-	-	PUNCT
ejpam-6643	114	38	superhypergraph	superhypergraph	NOUN
ejpam-6643	114	39	modeling	modeling	NOUN
ejpam-6643	114	40	how	how	SCONJ
ejpam-6643	114	41	different	different	ADJ
ejpam-6643	114	42	student	student	NOUN
ejpam-6643	114	43	goals	goal	NOUN
ejpam-6643	114	44	select	select	VERB
ejpam-6643	114	45	distinct	distinct	ADJ
ejpam-6643	114	46	sub	sub	NOUN
ejpam-6643	114	47	-	-	NOUN
ejpam-6643	114	48	paths	path	NOUN
ejpam-6643	114	49	through	through	ADP
ejpam-6643	114	50	the	the	DET
ejpam-6643	114	51	curriculum	curriculum	NOUN
ejpam-6643	114	52	hierarchy	hierarchy	NOUN
ejpam-6643	114	53	.	.	PUNCT
ejpam-6643	115	1	example	example	NOUN
ejpam-6643	115	2	5	5	NUM
ejpam-6643	115	3	(	(	PUNCT
ejpam-6643	115	4	curriculum	curriculum	NOUN
ejpam-6643	115	5	program	program	NOUN
ejpam-6643	115	6	selection	selection	NOUN
ejpam-6643	115	7	as	as	ADP
ejpam-6643	115	8	a	a	DET
ejpam-6643	115	9	soft	soft	ADJ
ejpam-6643	115	10	3	3	NUM
ejpam-6643	115	11	-	-	PUNCT
ejpam-6643	115	12	superhypergraph	superhypergraph	NOUN
ejpam-6643	115	13	)	)	PUNCT
ejpam-6643	115	14	.	.	PUNCT
ejpam-6643	116	1	consider	consider	VERB
ejpam-6643	116	2	the	the	DET
ejpam-6643	116	3	ground	ground	NOUN
ejpam-6643	116	4	set	set	NOUN
ejpam-6643	116	5	of	of	ADP
ejpam-6643	116	6	courses	course	NOUN
ejpam-6643	116	7	s	s	PART
ejpam-6643	116	8	=	=	PUNCT
ejpam-6643	116	9	{	{	PUNCT
ejpam-6643	116	10	calculus	calculus	NOUN
ejpam-6643	116	11	,	,	PUNCT
ejpam-6643	116	12	programming	programming	NOUN
ejpam-6643	116	13	,	,	PUNCT
ejpam-6643	116	14	statistics	statistic	NOUN
ejpam-6643	116	15	,	,	PUNCT
ejpam-6643	116	16	logic	logic	NOUN
ejpam-6643	116	17	}	}	PUNCT
ejpam-6643	116	18	.	.	PUNCT
ejpam-6643	117	1	first	first	ADJ
ejpam-6643	117	2	-	-	PUNCT
ejpam-6643	117	3	level	level	NOUN
ejpam-6643	117	4	“	"	PUNCT
ejpam-6643	117	5	modules	module	NOUN
ejpam-6643	117	6	”	"	PUNCT
ejpam-6643	117	7	are	be	AUX
ejpam-6643	117	8	mmath	mmath	NOUN
ejpam-6643	117	9	=	=	SYM
ejpam-6643	117	10	{	{	PUNCT
ejpam-6643	117	11	calculus	calculus	NOUN
ejpam-6643	117	12	,	,	PUNCT
ejpam-6643	117	13	statistics	statistic	NOUN
ejpam-6643	117	14	}	}	PUNCT
ejpam-6643	117	15	,	,	PUNCT
ejpam-6643	117	16	mcs	mcs	PROPN
ejpam-6643	117	17	=	=	PROPN
ejpam-6643	117	18	{	{	PUNCT
ejpam-6643	117	19	programming	programming	NOUN
ejpam-6643	117	20	,	,	PUNCT
ejpam-6643	117	21	logic	logic	NOUN
ejpam-6643	117	22	}	}	PUNCT
ejpam-6643	117	23	,	,	PUNCT
ejpam-6643	117	24	pows1(s	pows1(s	X
ejpam-6643	117	25	)	)	PUNCT
ejpam-6643	117	26	⊇	⊇	NOUN
ejpam-6643	117	27	{	{	PUNCT
ejpam-6643	117	28	mmath	mmath	PROPN
ejpam-6643	117	29	,	,	PUNCT
ejpam-6643	117	30	mcs	mcs	PROPN
ejpam-6643	117	31	}	}	PUNCT
ejpam-6643	117	32	.	.	PUNCT
ejpam-6643	118	1	second	second	ADJ
ejpam-6643	118	2	-	-	PUNCT
ejpam-6643	118	3	level	level	NOUN
ejpam-6643	118	4	“	"	PUNCT
ejpam-6643	118	5	tracks	track	NOUN
ejpam-6643	118	6	”	"	PUNCT
ejpam-6643	118	7	are	be	AUX
ejpam-6643	118	8	t1	t1	NOUN
ejpam-6643	118	9	=	=	PUNCT
ejpam-6643	118	10	{	{	PUNCT
ejpam-6643	118	11	mmath	mmath	NOUN
ejpam-6643	118	12	}	}	PUNCT
ejpam-6643	118	13	,	,	PUNCT
ejpam-6643	118	14	t2	t2	NOUN
ejpam-6643	118	15	=	=	SYM
ejpam-6643	118	16	{	{	PUNCT
ejpam-6643	118	17	mcs	mcs	NOUN
ejpam-6643	118	18	}	}	PUNCT
ejpam-6643	118	19	,	,	PUNCT
ejpam-6643	118	20	tall	tall	ADJ
ejpam-6643	118	21	=	=	PRON
ejpam-6643	118	22	{	{	PUNCT
ejpam-6643	118	23	mmath	mmath	PROPN
ejpam-6643	118	24	,	,	PUNCT
ejpam-6643	118	25	mcs	mcs	PROPN
ejpam-6643	118	26	}	}	PUNCT
ejpam-6643	118	27	,	,	PUNCT
ejpam-6643	118	28	pows2(s	pows2(s	ADJ
ejpam-6643	118	29	)	)	PUNCT
ejpam-6643	118	30	⊇	⊇	PROPN
ejpam-6643	118	31	{	{	PUNCT
ejpam-6643	118	32	t1	t1	PROPN
ejpam-6643	118	33	,	,	PUNCT
ejpam-6643	118	34	t2	t2	NOUN
ejpam-6643	118	35	,	,	PUNCT
ejpam-6643	118	36	tall	tall	ADJ
ejpam-6643	118	37	}	}	PUNCT
ejpam-6643	118	38	.	.	PUNCT
ejpam-6643	119	1	third	third	ADJ
ejpam-6643	119	2	-	-	PUNCT
ejpam-6643	119	3	level	level	NOUN
ejpam-6643	119	4	“	"	PUNCT
ejpam-6643	119	5	programs	program	NOUN
ejpam-6643	119	6	”	"	PUNCT
ejpam-6643	119	7	(	(	PUNCT
ejpam-6643	119	8	supervertices	supervertice	NOUN
ejpam-6643	119	9	)	)	PUNCT
ejpam-6643	119	10	are	be	AUX
ejpam-6643	119	11	p1	p1	NOUN
ejpam-6643	119	12	=	=	SYM
ejpam-6643	119	13	{	{	PUNCT
ejpam-6643	119	14	t1	t1	NOUN
ejpam-6643	119	15	}	}	PUNCT
ejpam-6643	119	16	,	,	PUNCT
ejpam-6643	119	17	p2	p2	PROPN
ejpam-6643	119	18	=	=	SYM
ejpam-6643	119	19	{	{	PUNCT
ejpam-6643	119	20	t2	t2	NOUN
ejpam-6643	119	21	}	}	PUNCT
ejpam-6643	119	22	,	,	PUNCT
ejpam-6643	119	23	pall	pall	NOUN
ejpam-6643	119	24	=	=	SYM
ejpam-6643	119	25	{	{	PUNCT
ejpam-6643	119	26	t1	t1	NOUN
ejpam-6643	119	27	,	,	PUNCT
ejpam-6643	119	28	t2	t2	NOUN
ejpam-6643	119	29	}	}	PUNCT
ejpam-6643	119	30	,	,	PUNCT
ejpam-6643	119	31	v	v	X
ejpam-6643	119	32	=	=	SYM
ejpam-6643	119	33	{	{	PUNCT
ejpam-6643	119	34	p1	p1	NOUN
ejpam-6643	119	35	,	,	PUNCT
ejpam-6643	119	36	p2	p2	NOUN
ejpam-6643	119	37	,	,	PUNCT
ejpam-6643	119	38	pall	pall	NOUN
ejpam-6643	119	39	}	}	PUNCT
ejpam-6643	119	40	⊆	⊆	NUM
ejpam-6643	119	41	pows3(s	pows3(	NOUN
ejpam-6643	119	42	)	)	PUNCT
ejpam-6643	119	43	.	.	PUNCT
ejpam-6643	120	1	define	define	VERB
ejpam-6643	120	2	the	the	DET
ejpam-6643	120	3	set	set	NOUN
ejpam-6643	120	4	of	of	ADP
ejpam-6643	120	5	program	program	NOUN
ejpam-6643	120	6	hyperedges	hyperedge	NOUN
ejpam-6643	120	7	e	e	NOUN
ejpam-6643	120	8	=	=	NOUN
ejpam-6643	120	9	{	{	PUNCT
ejpam-6643	120	10	e1	e1	PROPN
ejpam-6643	120	11	=	=	SYM
ejpam-6643	120	12	{	{	PUNCT
ejpam-6643	120	13	p1	p1	NOUN
ejpam-6643	120	14	,	,	PUNCT
ejpam-6643	120	15	pall	pall	NOUN
ejpam-6643	120	16	}	}	PUNCT
ejpam-6643	120	17	,	,	PUNCT
ejpam-6643	120	18	e2	e2	PROPN
ejpam-6643	120	19	=	=	PUNCT
ejpam-6643	120	20	{	{	PUNCT
ejpam-6643	120	21	p2	p2	NOUN
ejpam-6643	120	22	,	,	PUNCT
ejpam-6643	120	23	pall	pall	NOUN
ejpam-6643	120	24	}	}	PUNCT
ejpam-6643	120	25	}	}	PUNCT
ejpam-6643	120	26	⊆	⊆	NUM
ejpam-6643	120	27	pows(v	pows(v	NOUN
ejpam-6643	120	28	)	)	PUNCT
ejpam-6643	120	29	.	.	PUNCT
ejpam-6643	121	1	let	let	VERB
ejpam-6643	121	2	the	the	DET
ejpam-6643	121	3	parameter	parameter	NOUN
ejpam-6643	121	4	set	set	NOUN
ejpam-6643	121	5	be	be	AUX
ejpam-6643	121	6	c	c	NOUN
ejpam-6643	121	7	=	=	PUNCT
ejpam-6643	121	8	{	{	PUNCT
ejpam-6643	121	9	math	math	NOUN
ejpam-6643	121	10	-	-	PUNCT
ejpam-6643	121	11	track	track	NOUN
ejpam-6643	121	12	,	,	PUNCT
ejpam-6643	121	13	cs	cs	ADJ
ejpam-6643	121	14	-	-	NOUN
ejpam-6643	121	15	track	track	NOUN
ejpam-6643	121	16	}	}	PUNCT
ejpam-6643	121	17	,	,	PUNCT
ejpam-6643	121	18	and	and	CCONJ
ejpam-6643	121	19	define	define	VERB
ejpam-6643	121	20	the	the	DET
ejpam-6643	121	21	soft	soft	ADJ
ejpam-6643	121	22	-	-	PUNCT
ejpam-6643	121	23	selection	selection	NOUN
ejpam-6643	121	24	maps	map	NOUN
ejpam-6643	121	25	a	a	DET
ejpam-6643	121	26	:	:	PUNCT
ejpam-6643	121	27	c	c	NOUN
ejpam-6643	121	28	→	→	SYM
ejpam-6643	121	29	pows(v	pows(v	PROPN
ejpam-6643	121	30	)	)	PUNCT
ejpam-6643	121	31	,	,	PUNCT
ejpam-6643	121	32	b	b	X
ejpam-6643	121	33	:	:	PUNCT
ejpam-6643	121	34	c	c	NOUN
ejpam-6643	121	35	→	→	SYM
ejpam-6643	121	36	pows(e	pows(e	PROPN
ejpam-6643	121	37	)	)	PUNCT
ejpam-6643	121	38	by	by	ADP
ejpam-6643	121	39	a(math	a(math	NOUN
ejpam-6643	121	40	-	-	PUNCT
ejpam-6643	121	41	track	track	NOUN
ejpam-6643	121	42	)	)	PUNCT
ejpam-6643	122	1	=	=	SYM
ejpam-6643	122	2	{	{	PUNCT
ejpam-6643	122	3	p1	p1	NOUN
ejpam-6643	122	4	,	,	PUNCT
ejpam-6643	122	5	pall	pall	NOUN
ejpam-6643	122	6	}	}	PUNCT
ejpam-6643	122	7	,	,	PUNCT
ejpam-6643	122	8	b(math	b(math	NOUN
ejpam-6643	122	9	-	-	PUNCT
ejpam-6643	122	10	track	track	NOUN
ejpam-6643	122	11	)	)	PUNCT
ejpam-6643	122	12	=	=	PRON
ejpam-6643	122	13	{	{	PUNCT
ejpam-6643	122	14	e1	e1	PROPN
ejpam-6643	122	15	}	}	PUNCT
ejpam-6643	122	16	,	,	PUNCT
ejpam-6643	122	17	a(cs	a(c	NOUN
ejpam-6643	122	18	-	-	NOUN
ejpam-6643	122	19	track	track	NOUN
ejpam-6643	122	20	)	)	PUNCT
ejpam-6643	122	21	=	=	SYM
ejpam-6643	122	22	{	{	PUNCT
ejpam-6643	122	23	p2	p2	NOUN
ejpam-6643	122	24	,	,	PUNCT
ejpam-6643	122	25	pall	pall	NOUN
ejpam-6643	122	26	}	}	PUNCT
ejpam-6643	122	27	,	,	PUNCT
ejpam-6643	122	28	b(cs	b(c	NOUN
ejpam-6643	122	29	-	-	NOUN
ejpam-6643	122	30	track	track	NOUN
ejpam-6643	122	31	)	)	PUNCT
ejpam-6643	122	32	=	=	PRON
ejpam-6643	122	33	{	{	PUNCT
ejpam-6643	122	34	e2	e2	PROPN
ejpam-6643	122	35	}	}	PUNCT
ejpam-6643	122	36	.	.	PUNCT
ejpam-6643	123	1	then	then	ADV
ejpam-6643	123	2	(	(	PUNCT
ejpam-6643	123	3	v	v	NOUN
ejpam-6643	123	4	,	,	PUNCT
ejpam-6643	123	5	e	e	NOUN
ejpam-6643	123	6	,	,	PUNCT
ejpam-6643	123	7	c	c	X
ejpam-6643	123	8	,	,	PUNCT
ejpam-6643	123	9	a	a	DET
ejpam-6643	123	10	,	,	PUNCT
ejpam-6643	123	11	b	b	NOUN
ejpam-6643	123	12	)	)	PUNCT
ejpam-6643	123	13	is	be	AUX
ejpam-6643	123	14	a	a	DET
ejpam-6643	123	15	soft	soft	ADJ
ejpam-6643	123	16	3	3	NUM
ejpam-6643	123	17	-	-	PUNCT
ejpam-6643	123	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	123	19	modeling	modeling	NOUN
ejpam-6643	123	20	how	how	SCONJ
ejpam-6643	123	21	students	student	NOUN
ejpam-6643	123	22	select	select	VERB
ejpam-6643	123	23	and	and	CCONJ
ejpam-6643	123	24	transition	transition	VERB
ejpam-6643	123	25	through	through	ADP
ejpam-6643	123	26	programs	program	NOUN
ejpam-6643	123	27	in	in	ADP
ejpam-6643	123	28	a	a	DET
ejpam-6643	123	29	three	three	NUM
ejpam-6643	123	30	-	-	PUNCT
ejpam-6643	123	31	tier	tier	NOUN
ejpam-6643	123	32	curriculum	curriculum	NOUN
ejpam-6643	123	33	.	.	PUNCT
ejpam-6643	124	1	t.	t.	PROPN
ejpam-6643	124	2	fujita	fujita	PROPN
ejpam-6643	124	3	,	,	PUNCT
ejpam-6643	124	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	124	5	/	/	SYM
ejpam-6643	124	6	eur	eur	PROPN
ejpam-6643	124	7	.	.	PUNCT
ejpam-6643	125	1	j.	j.	PROPN
ejpam-6643	125	2	pure	pure	PROPN
ejpam-6643	125	3	appl	appl	PROPN
ejpam-6643	125	4	.	.	PROPN
ejpam-6643	125	5	math	math	PROPN
ejpam-6643	125	6	,	,	PUNCT
ejpam-6643	125	7	18	18	NUM
ejpam-6643	125	8	(	(	PUNCT
ejpam-6643	125	9	4	4	NUM
ejpam-6643	125	10	)	)	PUNCT
ejpam-6643	125	11	(	(	PUNCT
ejpam-6643	125	12	2025	2025	NUM
ejpam-6643	125	13	)	)	PUNCT
ejpam-6643	125	14	,	,	PUNCT
ejpam-6643	125	15	6643	6643	NUM
ejpam-6643	125	16	8	8	NUM
ejpam-6643	125	17	of	of	ADP
ejpam-6643	125	18	27	27	NUM
ejpam-6643	125	19	2.3	2.3	NUM
ejpam-6643	125	20	.	.	PUNCT
ejpam-6643	126	1	soft	soft	ADJ
ejpam-6643	126	2	directed	direct	VERB
ejpam-6643	126	3	hypergraphs	hypergraph	NOUN
ejpam-6643	126	4	a	a	DET
ejpam-6643	126	5	soft	soft	ADJ
ejpam-6643	126	6	directed	direct	VERB
ejpam-6643	126	7	graph	graph	NOUN
ejpam-6643	126	8	generalizes	generalize	VERB
ejpam-6643	126	9	directed	direct	VERB
ejpam-6643	126	10	graphs	graph	NOUN
ejpam-6643	126	11	by	by	ADP
ejpam-6643	126	12	using	use	VERB
ejpam-6643	126	13	parameters	parameter	NOUN
ejpam-6643	126	14	to	to	PART
ejpam-6643	126	15	select	select	VERB
ejpam-6643	126	16	vertex	vertex	NOUN
ejpam-6643	126	17	subsets	subset	NOUN
ejpam-6643	126	18	and	and	CCONJ
ejpam-6643	126	19	their	their	PRON
ejpam-6643	126	20	corresponding	corresponding	ADJ
ejpam-6643	126	21	directed	direct	VERB
ejpam-6643	126	22	edge	edge	NOUN
ejpam-6643	126	23	subsets	subset	NOUN
ejpam-6643	126	24	[	[	X
ejpam-6643	126	25	63–65	63–65	NUM
ejpam-6643	126	26	]	]	PUNCT
ejpam-6643	126	27	.	.	PUNCT
ejpam-6643	127	1	a	a	DET
ejpam-6643	127	2	soft	soft	ADJ
ejpam-6643	127	3	directed	direct	VERB
ejpam-6643	127	4	hypergraph	hypergraph	NOUN
ejpam-6643	127	5	generalizes	generalize	VERB
ejpam-6643	127	6	both	both	PRON
ejpam-6643	127	7	directed	direct	VERB
ejpam-6643	127	8	hypergraphs	hypergraph	NOUN
ejpam-6643	127	9	and	and	CCONJ
ejpam-6643	127	10	soft	soft	ADJ
ejpam-6643	127	11	sets	set	NOUN
ejpam-6643	127	12	by	by	ADP
ejpam-6643	127	13	selecting	select	VERB
ejpam-6643	127	14	substructures	substructure	NOUN
ejpam-6643	127	15	via	via	ADP
ejpam-6643	127	16	parameters	parameter	NOUN
ejpam-6643	127	17	(	(	PUNCT
ejpam-6643	127	18	cf.[66	cf.[66	PROPN
ejpam-6643	127	19	,	,	PUNCT
ejpam-6643	127	20	67	67	NUM
ejpam-6643	127	21	]	]	NUM
ejpam-6643	127	22	)	)	PUNCT
ejpam-6643	127	23	.	.	PUNCT
ejpam-6643	128	1	definition	definition	NOUN
ejpam-6643	128	2	8	8	NUM
ejpam-6643	128	3	(	(	PUNCT
ejpam-6643	128	4	soft	soft	ADJ
ejpam-6643	128	5	directed	direct	VERB
ejpam-6643	128	6	hypergraph	hypergraph	NOUN
ejpam-6643	128	7	)	)	PUNCT
ejpam-6643	128	8	.	.	PUNCT
ejpam-6643	129	1	(	(	PUNCT
ejpam-6643	129	2	cf.[66	cf.[66	PROPN
ejpam-6643	129	3	,	,	PUNCT
ejpam-6643	129	4	67	67	NUM
ejpam-6643	129	5	]	]	PUNCT
ejpam-6643	129	6	)	)	PUNCT
ejpam-6643	129	7	let	let	VERB
ejpam-6643	129	8	sodhg∗	sodhg∗	VERB
ejpam-6643	129	9	=	=	SYM
ejpam-6643	129	10	(	(	PUNCT
ejpam-6643	129	11	γ	γ	X
ejpam-6643	129	12	,	,	PUNCT
ejpam-6643	129	13	ξ	ξ	X
ejpam-6643	129	14	)	)	PUNCT
ejpam-6643	129	15	be	be	VERB
ejpam-6643	129	16	a	a	DET
ejpam-6643	129	17	simple	simple	ADJ
ejpam-6643	129	18	directed	direct	VERB
ejpam-6643	129	19	hypergraph	hypergraph	NOUN
ejpam-6643	129	20	,	,	PUNCT
ejpam-6643	129	21	where	where	SCONJ
ejpam-6643	129	22	γ	γ	PROPN
ejpam-6643	129	23	is	be	AUX
ejpam-6643	129	24	the	the	DET
ejpam-6643	129	25	vertex	vertex	NOUN
ejpam-6643	129	26	set	set	NOUN
ejpam-6643	129	27	and	and	CCONJ
ejpam-6643	129	28	ξ	ξ	PRON
ejpam-6643	129	29	⊆	⊆	NUM
ejpam-6643	129	30	pows(γ	pows(γ	NOUN
ejpam-6643	129	31	)	)	PUNCT
ejpam-6643	129	32	×	×	PROPN
ejpam-6643	129	33	pows(γ	pows(γ	PROPN
ejpam-6643	129	34	)	)	PUNCT
ejpam-6643	129	35	is	be	AUX
ejpam-6643	129	36	the	the	DET
ejpam-6643	129	37	set	set	NOUN
ejpam-6643	129	38	of	of	ADP
ejpam-6643	129	39	hyperarcs	hyperarcs	PROPN
ejpam-6643	129	40	(	(	PUNCT
ejpam-6643	129	41	each	each	DET
ejpam-6643	129	42	an	an	DET
ejpam-6643	129	43	ordered	order	VERB
ejpam-6643	129	44	pair	pair	NOUN
ejpam-6643	129	45	of	of	ADP
ejpam-6643	129	46	nonempty	nonempty	NOUN
ejpam-6643	129	47	tail	tail	NOUN
ejpam-6643	129	48	and	and	CCONJ
ejpam-6643	129	49	head	head	NOUN
ejpam-6643	129	50	)	)	PUNCT
ejpam-6643	129	51	.	.	PUNCT
ejpam-6643	130	1	let	let	VERB
ejpam-6643	130	2	c	c	PRON
ejpam-6643	130	3	be	be	AUX
ejpam-6643	130	4	a	a	DET
ejpam-6643	130	5	nonempty	nonempty	ADJ
ejpam-6643	130	6	parameter	parameter	NOUN
ejpam-6643	130	7	set	set	NOUN
ejpam-6643	130	8	.	.	PUNCT
ejpam-6643	131	1	a	a	DET
ejpam-6643	131	2	soft	soft	ADJ
ejpam-6643	131	3	directed	direct	VERB
ejpam-6643	131	4	hypergraph	hypergraph	NOUN
ejpam-6643	131	5	is	be	AUX
ejpam-6643	131	6	the	the	DET
ejpam-6643	131	7	quadruple	quadruple	NOUN
ejpam-6643	131	8	(	(	PUNCT
ejpam-6643	131	9	sodhg∗	sodhg∗	NOUN
ejpam-6643	131	10	,	,	PUNCT
ejpam-6643	131	11	c	c	NOUN
ejpam-6643	131	12	,	,	PUNCT
ejpam-6643	131	13	a	a	DET
ejpam-6643	131	14	,	,	PUNCT
ejpam-6643	131	15	b	b	NOUN
ejpam-6643	131	16	)	)	PUNCT
ejpam-6643	131	17	,	,	PUNCT
ejpam-6643	131	18	where	where	SCONJ
ejpam-6643	131	19	a	a	PRON
ejpam-6643	131	20	:	:	PUNCT
ejpam-6643	131	21	c	c	PROPN
ejpam-6643	131	22	−→	−→	NOUN
ejpam-6643	131	23	pows(γ	pows(γ	PROPN
ejpam-6643	131	24	)	)	PUNCT
ejpam-6643	131	25	,	,	PUNCT
ejpam-6643	131	26	b	b	X
ejpam-6643	131	27	:	:	PUNCT
ejpam-6643	131	28	c	c	PROPN
ejpam-6643	131	29	−→	−→	NOUN
ejpam-6643	131	30	pows(ξ	pows(ξ	PROPN
ejpam-6643	131	31	)	)	PUNCT
ejpam-6643	131	32	,	,	PUNCT
ejpam-6643	131	33	and	and	CCONJ
ejpam-6643	131	34	for	for	ADP
ejpam-6643	131	35	every	every	DET
ejpam-6643	131	36	c	c	PROPN
ejpam-6643	131	37	∈	∈	PROPN
ejpam-6643	131	38	c	c	X
ejpam-6643	131	39	,	,	PUNCT
ejpam-6643	131	40	a(c	a(c	PROPN
ejpam-6643	131	41	)	)	PUNCT
ejpam-6643	131	42	⊆	⊆	NUM
ejpam-6643	131	43	γ	γ	X
ejpam-6643	131	44	,	,	PUNCT
ejpam-6643	131	45	b(c	b(c	NOUN
ejpam-6643	131	46	)	)	PUNCT
ejpam-6643	131	47	⊆	⊆	NUM
ejpam-6643	131	48	{	{	PUNCT
ejpam-6643	131	49	(	(	PUNCT
ejpam-6643	131	50	t	t	PROPN
ejpam-6643	131	51	,	,	PUNCT
ejpam-6643	131	52	h	h	NOUN
ejpam-6643	131	53	)	)	PUNCT
ejpam-6643	131	54	∈	∈	PROPN
ejpam-6643	131	55	ξ	ξ	NOUN
ejpam-6643	131	56	:	:	PUNCT
ejpam-6643	131	57	t	t	PROPN
ejpam-6643	131	58	⊆	⊆	NUM
ejpam-6643	131	59	a(c	a(c	PROPN
ejpam-6643	131	60	)	)	PUNCT
ejpam-6643	131	61	,	,	PUNCT
ejpam-6643	131	62	h	h	NOUN
ejpam-6643	131	63	⊆	⊆	NUM
ejpam-6643	131	64	a(c	a(c	NOUN
ejpam-6643	131	65	)	)	PUNCT
ejpam-6643	131	66	}	}	PUNCT
ejpam-6643	131	67	.	.	PUNCT
ejpam-6643	132	1	each	each	DET
ejpam-6643	132	2	pair	pair	NOUN
ejpam-6643	132	3	(	(	PUNCT
ejpam-6643	132	4	a(c	a(c	PROPN
ejpam-6643	132	5	)	)	PUNCT
ejpam-6643	132	6	,	,	PUNCT
ejpam-6643	132	7	b(c	b(c	NOUN
ejpam-6643	132	8	)	)	PUNCT
ejpam-6643	132	9	)	)	PUNCT
ejpam-6643	132	10	is	be	AUX
ejpam-6643	132	11	called	call	VERB
ejpam-6643	132	12	the	the	DET
ejpam-6643	132	13	soft	soft	ADJ
ejpam-6643	132	14	induced	induced	ADJ
ejpam-6643	132	15	subhypergraph	subhypergraph	NOUN
ejpam-6643	132	16	of	of	ADP
ejpam-6643	132	17	sodhg∗	sodhg∗	NOUN
ejpam-6643	132	18	at	at	ADP
ejpam-6643	132	19	parameter	parameter	PROPN
ejpam-6643	132	20	c.	c.	PROPN
ejpam-6643	132	21	example	example	PROPN
ejpam-6643	132	22	6	6	NUM
ejpam-6643	132	23	(	(	PUNCT
ejpam-6643	132	24	sensor	sensor	NOUN
ejpam-6643	132	25	selection	selection	NOUN
ejpam-6643	132	26	in	in	ADP
ejpam-6643	132	27	a	a	DET
ejpam-6643	132	28	directed	direct	VERB
ejpam-6643	132	29	hypergraph	hypergraph	NOUN
ejpam-6643	132	30	)	)	PUNCT
ejpam-6643	132	31	.	.	PUNCT
ejpam-6643	133	1	consider	consider	VERB
ejpam-6643	133	2	a	a	DET
ejpam-6643	133	3	directed	direct	VERB
ejpam-6643	133	4	hypergraph	hypergraph	NOUN
ejpam-6643	133	5	sodhg∗	sodhg∗	NOUN
ejpam-6643	133	6	=	=	SYM
ejpam-6643	133	7	(	(	PUNCT
ejpam-6643	133	8	{	{	PUNCT
ejpam-6643	133	9	s1	s1	NOUN
ejpam-6643	133	10	,	,	PUNCT
ejpam-6643	133	11	s2	s2	PROPN
ejpam-6643	133	12	,	,	PUNCT
ejpam-6643	133	13	s3},ξ	s3},ξ	PROPN
ejpam-6643	133	14	)	)	PUNCT
ejpam-6643	133	15	where	where	SCONJ
ejpam-6643	133	16	ξ	ξ	X
ejpam-6643	133	17	=	=	PRON
ejpam-6643	133	18	{	{	PUNCT
ejpam-6643	133	19	(	(	PUNCT
ejpam-6643	133	20	{	{	PUNCT
ejpam-6643	133	21	s1	s1	NOUN
ejpam-6643	133	22	}	}	PUNCT
ejpam-6643	133	23	,	,	PUNCT
ejpam-6643	133	24	{	{	PUNCT
ejpam-6643	133	25	s2	s2	PROPN
ejpam-6643	133	26	,	,	PUNCT
ejpam-6643	133	27	s3	s3	PROPN
ejpam-6643	133	28	}	}	PUNCT
ejpam-6643	133	29	)	)	PUNCT
ejpam-6643	133	30	,	,	PUNCT
ejpam-6643	133	31	(	(	PUNCT
ejpam-6643	133	32	{	{	PUNCT
ejpam-6643	133	33	s2	s2	PROPN
ejpam-6643	133	34	}	}	PUNCT
ejpam-6643	133	35	,	,	PUNCT
ejpam-6643	133	36	{	{	PUNCT
ejpam-6643	133	37	s3	s3	PROPN
ejpam-6643	133	38	}	}	PUNCT
ejpam-6643	133	39	)	)	PUNCT
ejpam-6643	133	40	}	}	PUNCT
ejpam-6643	133	41	.	.	PUNCT
ejpam-6643	134	1	let	let	VERB
ejpam-6643	134	2	parameters	parameter	NOUN
ejpam-6643	134	3	c	c	NOUN
ejpam-6643	134	4	=	=	PRON
ejpam-6643	134	5	{	{	PUNCT
ejpam-6643	134	6	day	day	NOUN
ejpam-6643	134	7	,	,	PUNCT
ejpam-6643	134	8	night	night	NOUN
ejpam-6643	134	9	}	}	PUNCT
ejpam-6643	134	10	.	.	PUNCT
ejpam-6643	135	1	define	define	VERB
ejpam-6643	135	2	a(day	a(day	NOUN
ejpam-6643	135	3	)	)	PUNCT
ejpam-6643	136	1	=	=	PRON
ejpam-6643	136	2	{	{	PUNCT
ejpam-6643	136	3	s1	s1	NOUN
ejpam-6643	136	4	,	,	PUNCT
ejpam-6643	136	5	s2	s2	PROPN
ejpam-6643	136	6	}	}	PUNCT
ejpam-6643	136	7	,	,	PUNCT
ejpam-6643	136	8	b(day	b(day	PROPN
ejpam-6643	136	9	)	)	PUNCT
ejpam-6643	136	10	=	=	PRON
ejpam-6643	137	1	{	{	PUNCT
ejpam-6643	137	2	(	(	PUNCT
ejpam-6643	137	3	{	{	PUNCT
ejpam-6643	137	4	s1	s1	NOUN
ejpam-6643	137	5	}	}	PUNCT
ejpam-6643	137	6	,	,	PUNCT
ejpam-6643	137	7	{	{	PUNCT
ejpam-6643	137	8	s2	s2	NOUN
ejpam-6643	137	9	}	}	PUNCT
ejpam-6643	137	10	)	)	PUNCT
ejpam-6643	137	11	}	}	PUNCT
ejpam-6643	137	12	,	,	PUNCT
ejpam-6643	137	13	a(night	a(night	ADJ
ejpam-6643	137	14	)	)	PUNCT
ejpam-6643	137	15	=	=	PRON
ejpam-6643	137	16	{	{	PUNCT
ejpam-6643	137	17	s2	s2	PROPN
ejpam-6643	137	18	,	,	PUNCT
ejpam-6643	137	19	s3	s3	PROPN
ejpam-6643	137	20	}	}	PUNCT
ejpam-6643	137	21	,	,	PUNCT
ejpam-6643	137	22	b(night	b(night	NOUN
ejpam-6643	137	23	)	)	PUNCT
ejpam-6643	137	24	=	=	SYM
ejpam-6643	137	25	{	{	PUNCT
ejpam-6643	137	26	(	(	PUNCT
ejpam-6643	137	27	{	{	PUNCT
ejpam-6643	137	28	s2	s2	NOUN
ejpam-6643	137	29	}	}	PUNCT
ejpam-6643	137	30	,	,	PUNCT
ejpam-6643	137	31	{	{	PUNCT
ejpam-6643	137	32	s3	s3	PROPN
ejpam-6643	137	33	}	}	PUNCT
ejpam-6643	137	34	)	)	PUNCT
ejpam-6643	137	35	}	}	PUNCT
ejpam-6643	137	36	.	.	PUNCT
ejpam-6643	138	1	then	then	ADV
ejpam-6643	138	2	(	(	PUNCT
ejpam-6643	138	3	a(c	a(c	PROPN
ejpam-6643	138	4	)	)	PUNCT
ejpam-6643	138	5	,	,	PUNCT
ejpam-6643	138	6	b(c	b(c	NOUN
ejpam-6643	138	7	)	)	PUNCT
ejpam-6643	138	8	)	)	PUNCT
ejpam-6643	138	9	for	for	ADP
ejpam-6643	138	10	each	each	DET
ejpam-6643	138	11	c	c	PROPN
ejpam-6643	138	12	∈	∈	PROPN
ejpam-6643	138	13	c	c	NOUN
ejpam-6643	138	14	is	be	AUX
ejpam-6643	138	15	a	a	DET
ejpam-6643	138	16	directed	direct	VERB
ejpam-6643	138	17	subhypergraph	subhypergraph	NOUN
ejpam-6643	138	18	on	on	ADP
ejpam-6643	138	19	the	the	DET
ejpam-6643	138	20	active	active	ADJ
ejpam-6643	138	21	sensors	sensor	NOUN
ejpam-6643	138	22	,	,	PUNCT
ejpam-6643	138	23	illustrating	illustrate	VERB
ejpam-6643	138	24	how	how	SCONJ
ejpam-6643	138	25	soft	soft	ADJ
ejpam-6643	138	26	parameters	parameter	NOUN
ejpam-6643	138	27	select	select	VERB
ejpam-6643	138	28	relevant	relevant	ADJ
ejpam-6643	138	29	hyperarcs	hyperarc	NOUN
ejpam-6643	138	30	.	.	PUNCT
ejpam-6643	139	1	2.4	2.4	NUM
ejpam-6643	139	2	.	.	PUNCT
ejpam-6643	139	3	directed	direct	VERB
ejpam-6643	139	4	superhypergraph	superhypergraph	NOUN
ejpam-6643	139	5	directed	direct	VERB
ejpam-6643	139	6	superhypergraphs	superhypergraph	NOUN
ejpam-6643	139	7	are	be	AUX
ejpam-6643	139	8	graph	graph	NOUN
ejpam-6643	139	9	classes	class	NOUN
ejpam-6643	139	10	that	that	PRON
ejpam-6643	139	11	extend	extend	VERB
ejpam-6643	139	12	superhypergraphs	superhypergraph	NOUN
ejpam-6643	139	13	,	,	PUNCT
ejpam-6643	139	14	respectively	respectively	ADV
ejpam-6643	139	15	,	,	PUNCT
ejpam-6643	139	16	in	in	ADP
ejpam-6643	139	17	a	a	DET
ejpam-6643	139	18	manner	manner	NOUN
ejpam-6643	139	19	analogous	analogous	ADJ
ejpam-6643	139	20	to	to	PART
ejpam-6643	139	21	directed	direct	VERB
ejpam-6643	139	22	graphs(cf.[3	graphs(cf.[3	PROPN
ejpam-6643	139	23	,	,	PUNCT
ejpam-6643	139	24	68	68	NUM
ejpam-6643	139	25	]	]	PUNCT
ejpam-6643	139	26	)	)	PUNCT
ejpam-6643	139	27	.	.	PUNCT
ejpam-6643	140	1	below	below	ADV
ejpam-6643	140	2	,	,	PUNCT
ejpam-6643	140	3	we	we	PRON
ejpam-6643	140	4	present	present	VERB
ejpam-6643	140	5	their	their	PRON
ejpam-6643	140	6	formal	formal	ADJ
ejpam-6643	140	7	definitions	definition	NOUN
ejpam-6643	140	8	and	and	CCONJ
ejpam-6643	140	9	illustrative	illustrative	ADJ
ejpam-6643	140	10	examples	example	NOUN
ejpam-6643	140	11	.	.	PUNCT
ejpam-6643	141	1	definition	definition	NOUN
ejpam-6643	141	2	9	9	NUM
ejpam-6643	141	3	(	(	PUNCT
ejpam-6643	141	4	directed	direct	VERB
ejpam-6643	141	5	n	n	CCONJ
ejpam-6643	141	6	-	-	PUNCT
ejpam-6643	141	7	superhypergraph	superhypergraph	NOUN
ejpam-6643	141	8	)	)	PUNCT
ejpam-6643	141	9	.	.	PUNCT
ejpam-6643	142	1	(	(	PUNCT
ejpam-6643	142	2	cf.[3	cf.[3	PROPN
ejpam-6643	142	3	,	,	PUNCT
ejpam-6643	142	4	68	68	NUM
ejpam-6643	142	5	]	]	PUNCT
ejpam-6643	142	6	)	)	PUNCT
ejpam-6643	142	7	let	let	VERB
ejpam-6643	142	8	s	s	PRON
ejpam-6643	142	9	be	be	AUX
ejpam-6643	142	10	a	a	DET
ejpam-6643	142	11	nonempty	nonempty	ADJ
ejpam-6643	142	12	base	base	NOUN
ejpam-6643	142	13	set	set	NOUN
ejpam-6643	142	14	and	and	CCONJ
ejpam-6643	142	15	let	let	VERB
ejpam-6643	142	16	n	n	PRON
ejpam-6643	142	17	≥	≥	X
ejpam-6643	142	18	0	0	NUM
ejpam-6643	142	19	be	be	AUX
ejpam-6643	142	20	an	an	DET
ejpam-6643	142	21	integer	integer	NOUN
ejpam-6643	142	22	.	.	PUNCT
ejpam-6643	143	1	define	define	VERB
ejpam-6643	143	2	iterated	iterated	ADJ
ejpam-6643	143	3	powersets	powerset	NOUN
ejpam-6643	143	4	by	by	ADP
ejpam-6643	143	5	pows0(s	pows0(s	PROPN
ejpam-6643	143	6	)	)	PUNCT
ejpam-6643	144	1	=	=	SYM
ejpam-6643	144	2	s	s	PROPN
ejpam-6643	144	3	,	,	PUNCT
ejpam-6643	144	4	powsk+1(s	powsk+1(	VERB
ejpam-6643	144	5	)	)	PUNCT
ejpam-6643	144	6	=	=	SYM
ejpam-6643	144	7	pows	pow	NOUN
ejpam-6643	144	8	(	(	PUNCT
ejpam-6643	144	9	powsk(s	powsk(s	NOUN
ejpam-6643	144	10	)	)	PUNCT
ejpam-6643	144	11	)	)	PUNCT
ejpam-6643	145	1	(	(	PUNCT
ejpam-6643	145	2	k	k	X
ejpam-6643	145	3	≥	≥	PROPN
ejpam-6643	145	4	0	0	NUM
ejpam-6643	145	5	)	)	PUNCT
ejpam-6643	145	6	.	.	PUNCT
ejpam-6643	146	1	t.	t.	PROPN
ejpam-6643	146	2	fujita	fujita	PROPN
ejpam-6643	146	3	,	,	PUNCT
ejpam-6643	146	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	146	5	/	/	SYM
ejpam-6643	146	6	eur	eur	PROPN
ejpam-6643	146	7	.	.	PUNCT
ejpam-6643	147	1	j.	j.	PROPN
ejpam-6643	147	2	pure	pure	PROPN
ejpam-6643	147	3	appl	appl	PROPN
ejpam-6643	147	4	.	.	PROPN
ejpam-6643	147	5	math	math	PROPN
ejpam-6643	147	6	,	,	PUNCT
ejpam-6643	147	7	18	18	NUM
ejpam-6643	147	8	(	(	PUNCT
ejpam-6643	147	9	4	4	NUM
ejpam-6643	147	10	)	)	PUNCT
ejpam-6643	147	11	(	(	PUNCT
ejpam-6643	147	12	2025	2025	NUM
ejpam-6643	147	13	)	)	PUNCT
ejpam-6643	147	14	,	,	PUNCT
ejpam-6643	147	15	6643	6643	NUM
ejpam-6643	147	16	9	9	NUM
ejpam-6643	147	17	of	of	ADP
ejpam-6643	147	18	27	27	NUM
ejpam-6643	147	19	a	a	DET
ejpam-6643	147	20	directed	direct	VERB
ejpam-6643	147	21	n	n	CCONJ
ejpam-6643	147	22	-	-	PUNCT
ejpam-6643	147	23	superhypergraph	superhypergraph	NOUN
ejpam-6643	147	24	is	be	AUX
ejpam-6643	147	25	a	a	DET
ejpam-6643	147	26	pair	pair	NOUN
ejpam-6643	147	27	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	147	28	)	)	PUNCT
ejpam-6643	147	29	=	=	SYM
ejpam-6643	147	30	(	(	PUNCT
ejpam-6643	147	31	v	v	NOUN
ejpam-6643	147	32	,	,	PUNCT
ejpam-6643	147	33	e	e	NOUN
ejpam-6643	147	34	)	)	PUNCT
ejpam-6643	147	35	,	,	PUNCT
ejpam-6643	147	36	where	where	SCONJ
ejpam-6643	147	37	v	v	ADP
ejpam-6643	147	38	⊆	⊆	NUM
ejpam-6643	147	39	powsn(s	powsn(s	NOUN
ejpam-6643	147	40	)	)	PUNCT
ejpam-6643	147	41	,	,	PUNCT
ejpam-6643	147	42	e	e	PROPN
ejpam-6643	147	43	⊆	⊆	NUM
ejpam-6643	147	44	powsn(s	powsn(s	NOUN
ejpam-6643	147	45	)	)	PUNCT
ejpam-6643	147	46	×	×	NOUN
ejpam-6643	147	47	powsn(s	powsn(s	PROPN
ejpam-6643	147	48	)	)	PUNCT
ejpam-6643	147	49	,	,	PUNCT
ejpam-6643	147	50	and	and	CCONJ
ejpam-6643	147	51	each	each	DET
ejpam-6643	147	52	directed	direct	VERB
ejpam-6643	147	53	n	n	CCONJ
ejpam-6643	147	54	-	-	PUNCT
ejpam-6643	147	55	superedge	superedge	NOUN
ejpam-6643	147	56	e	e	NOUN
ejpam-6643	147	57	∈	∈	NOUN
ejpam-6643	147	58	e	e	NOUN
ejpam-6643	147	59	is	be	AUX
ejpam-6643	147	60	an	an	DET
ejpam-6643	147	61	ordered	order	VERB
ejpam-6643	147	62	pair	pair	NOUN
ejpam-6643	147	63	e	e	NOUN
ejpam-6643	147	64	=	=	SYM
ejpam-6643	147	65	(	(	PUNCT
ejpam-6643	147	66	tail(e	tail(e	PROPN
ejpam-6643	147	67	)	)	PUNCT
ejpam-6643	147	68	,	,	PUNCT
ejpam-6643	147	69	head(e	head(e	PROPN
ejpam-6643	147	70	)	)	PUNCT
ejpam-6643	147	71	)	)	PUNCT
ejpam-6643	147	72	,	,	PUNCT
ejpam-6643	147	73	tail(e	tail(e	PROPN
ejpam-6643	147	74	)	)	PUNCT
ejpam-6643	147	75	,	,	PUNCT
ejpam-6643	147	76	head(e	head(e	PROPN
ejpam-6643	147	77	)	)	PUNCT
ejpam-6643	147	78	⊆	⊆	NUM
ejpam-6643	147	79	powsn(s	powsn(s	NOUN
ejpam-6643	147	80	)	)	PUNCT
ejpam-6643	147	81	,	,	PUNCT
ejpam-6643	147	82	typically	typically	ADV
ejpam-6643	147	83	both	both	DET
ejpam-6643	147	84	nonempty	nonempty	ADJ
ejpam-6643	147	85	.	.	PUNCT
ejpam-6643	148	1	such	such	DET
ejpam-6643	148	2	an	an	DET
ejpam-6643	148	3	e	e	NOUN
ejpam-6643	148	4	carries	carry	VERB
ejpam-6643	148	5	“	"	PUNCT
ejpam-6643	148	6	flow	flow	NOUN
ejpam-6643	148	7	”	"	PUNCT
ejpam-6643	148	8	from	from	ADP
ejpam-6643	148	9	the	the	DET
ejpam-6643	148	10	entire	entire	ADJ
ejpam-6643	148	11	set	set	NOUN
ejpam-6643	148	12	tail(e	tail(e	NOUN
ejpam-6643	148	13	)	)	PUNCT
ejpam-6643	148	14	of	of	ADP
ejpam-6643	148	15	nsupervertices	nsupervertice	NOUN
ejpam-6643	148	16	into	into	ADP
ejpam-6643	148	17	head(e	head(e	PROPN
ejpam-6643	148	18	)	)	PUNCT
ejpam-6643	148	19	.	.	PUNCT
ejpam-6643	149	1	example	example	NOUN
ejpam-6643	149	2	7	7	NUM
ejpam-6643	149	3	(	(	PUNCT
ejpam-6643	149	4	corporate	corporate	ADJ
ejpam-6643	149	5	reporting	reporting	NOUN
ejpam-6643	149	6	as	as	ADP
ejpam-6643	149	7	a	a	DET
ejpam-6643	149	8	directed	direct	VERB
ejpam-6643	149	9	2	2	NUM
ejpam-6643	149	10	-	-	PUNCT
ejpam-6643	149	11	superhypergraph	superhypergraph	NOUN
ejpam-6643	149	12	)	)	PUNCT
ejpam-6643	149	13	.	.	PUNCT
ejpam-6643	150	1	consider	consider	VERB
ejpam-6643	150	2	a	a	DET
ejpam-6643	150	3	small	small	ADJ
ejpam-6643	150	4	company	company	NOUN
ejpam-6643	150	5	with	with	ADP
ejpam-6643	150	6	three	three	NUM
ejpam-6643	150	7	employees	employee	NOUN
ejpam-6643	150	8	:	:	PUNCT
ejpam-6643	150	9	s	s	X
ejpam-6643	150	10	=	=	SYM
ejpam-6643	150	11	{	{	PUNCT
ejpam-6643	150	12	keisuke	keisuke	PROPN
ejpam-6643	150	13	,	,	PUNCT
ejpam-6643	150	14	bob	bob	PROPN
ejpam-6643	150	15	,	,	PUNCT
ejpam-6643	150	16	sakura	sakura	NOUN
ejpam-6643	150	17	}	}	PUNCT
ejpam-6643	150	18	.	.	PUNCT
ejpam-6643	151	1	they	they	PRON
ejpam-6643	151	2	form	form	VERB
ejpam-6643	151	3	two	two	NUM
ejpam-6643	151	4	teams	team	NOUN
ejpam-6643	151	5	:	:	PUNCT
ejpam-6643	151	6	ta	ta	X
ejpam-6643	151	7	=	=	SYM
ejpam-6643	151	8	{	{	PUNCT
ejpam-6643	151	9	keisuke	keisuke	PROPN
ejpam-6643	151	10	,	,	PUNCT
ejpam-6643	151	11	bob	bob	PROPN
ejpam-6643	151	12	}	}	PUNCT
ejpam-6643	151	13	,	,	PUNCT
ejpam-6643	151	14	tb	tb	X
ejpam-6643	151	15	=	=	SYM
ejpam-6643	151	16	{	{	PUNCT
ejpam-6643	151	17	bob	bob	PROPN
ejpam-6643	151	18	,	,	PUNCT
ejpam-6643	151	19	sakura	sakura	NOUN
ejpam-6643	151	20	}	}	PUNCT
ejpam-6643	151	21	,	,	PUNCT
ejpam-6643	151	22	so	so	SCONJ
ejpam-6643	151	23	that	that	SCONJ
ejpam-6643	151	24	pows1(s	pows1(s	VERB
ejpam-6643	151	25	)	)	PUNCT
ejpam-6643	151	26	⊇	⊇	NOUN
ejpam-6643	151	27	{	{	PUNCT
ejpam-6643	151	28	ta	ta	PROPN
ejpam-6643	151	29	,	,	PUNCT
ejpam-6643	151	30	tb	tb	NOUN
ejpam-6643	151	31	}	}	PUNCT
ejpam-6643	151	32	.	.	PUNCT
ejpam-6643	152	1	at	at	ADP
ejpam-6643	152	2	the	the	DET
ejpam-6643	152	3	next	next	ADJ
ejpam-6643	152	4	level	level	NOUN
ejpam-6643	152	5	,	,	PUNCT
ejpam-6643	152	6	these	these	DET
ejpam-6643	152	7	teams	team	NOUN
ejpam-6643	152	8	report	report	VERB
ejpam-6643	152	9	to	to	ADP
ejpam-6643	152	10	departments	department	NOUN
ejpam-6643	152	11	:	:	PUNCT
ejpam-6643	152	12	d1	d1	PROPN
ejpam-6643	152	13	=	=	PUNCT
ejpam-6643	152	14	{	{	PUNCT
ejpam-6643	152	15	ta	ta	NOUN
ejpam-6643	152	16	}	}	PUNCT
ejpam-6643	152	17	,	,	PUNCT
ejpam-6643	152	18	d2	d2	PROPN
ejpam-6643	152	19	=	=	SYM
ejpam-6643	152	20	{	{	PUNCT
ejpam-6643	152	21	tb	tb	NOUN
ejpam-6643	152	22	}	}	PUNCT
ejpam-6643	152	23	,	,	PUNCT
ejpam-6643	152	24	dall	dall	NOUN
ejpam-6643	152	25	=	=	SYM
ejpam-6643	152	26	{	{	PUNCT
ejpam-6643	152	27	ta	ta	NOUN
ejpam-6643	152	28	,	,	PUNCT
ejpam-6643	152	29	tb	tb	NOUN
ejpam-6643	152	30	}	}	PUNCT
ejpam-6643	152	31	,	,	PUNCT
ejpam-6643	152	32	so	so	SCONJ
ejpam-6643	152	33	that	that	PRON
ejpam-6643	152	34	pows2(s	pows2(s	NOUN
ejpam-6643	152	35	)	)	PUNCT
ejpam-6643	152	36	⊇	⊇	PROPN
ejpam-6643	152	37	v	v	NOUN
ejpam-6643	152	38	=	=	SYM
ejpam-6643	152	39	{	{	PUNCT
ejpam-6643	152	40	d1	d1	PROPN
ejpam-6643	152	41	,	,	PUNCT
ejpam-6643	152	42	d2	d2	PROPN
ejpam-6643	152	43	,	,	PUNCT
ejpam-6643	152	44	dall	dall	NOUN
ejpam-6643	152	45	}	}	PUNCT
ejpam-6643	152	46	.	.	PUNCT
ejpam-6643	153	1	we	we	PRON
ejpam-6643	153	2	define	define	VERB
ejpam-6643	153	3	the	the	DET
ejpam-6643	153	4	directed	direct	VERB
ejpam-6643	153	5	2	2	NUM
ejpam-6643	153	6	-	-	PUNCT
ejpam-6643	153	7	superhyperedges	superhyperedge	NOUN
ejpam-6643	153	8	e	e	NOUN
ejpam-6643	153	9	=	=	PRON
ejpam-6643	153	10	{	{	PUNCT
ejpam-6643	153	11	e1	e1	NOUN
ejpam-6643	153	12	=	=	SYM
ejpam-6643	153	13	(	(	PUNCT
ejpam-6643	153	14	{	{	PUNCT
ejpam-6643	153	15	d1	d1	NOUN
ejpam-6643	153	16	}	}	PUNCT
ejpam-6643	153	17	,	,	PUNCT
ejpam-6643	153	18	{	{	PUNCT
ejpam-6643	153	19	dall	dall	NOUN
ejpam-6643	153	20	}	}	PUNCT
ejpam-6643	153	21	)	)	PUNCT
ejpam-6643	153	22	,	,	PUNCT
ejpam-6643	153	23	e2	e2	PROPN
ejpam-6643	153	24	=	=	SYM
ejpam-6643	153	25	(	(	PUNCT
ejpam-6643	153	26	{	{	PUNCT
ejpam-6643	153	27	d2	d2	PROPN
ejpam-6643	153	28	}	}	PUNCT
ejpam-6643	153	29	,	,	PUNCT
ejpam-6643	153	30	{	{	PUNCT
ejpam-6643	153	31	dall	dall	NOUN
ejpam-6643	153	32	}	}	PUNCT
ejpam-6643	153	33	)	)	PUNCT
ejpam-6643	153	34	}	}	PUNCT
ejpam-6643	153	35	.	.	PUNCT
ejpam-6643	154	1	here	here	ADV
ejpam-6643	154	2	:	:	PUNCT
ejpam-6643	154	3	•	•	NUM
ejpam-6643	154	4	e1	e1	NOUN
ejpam-6643	154	5	models	model	NOUN
ejpam-6643	154	6	team	team	NOUN
ejpam-6643	154	7	ta	ta	ADP
ejpam-6643	154	8	reporting	report	VERB
ejpam-6643	154	9	up	up	ADP
ejpam-6643	154	10	into	into	ADP
ejpam-6643	154	11	the	the	DET
ejpam-6643	154	12	combined	combined	PROPN
ejpam-6643	154	13	department	department	NOUN
ejpam-6643	154	14	dall	dall	NOUN
ejpam-6643	154	15	.	.	PUNCT
ejpam-6643	155	1	•	•	PROPN
ejpam-6643	155	2	e2	e2	PROPN
ejpam-6643	155	3	models	model	NOUN
ejpam-6643	155	4	team	team	NOUN
ejpam-6643	155	5	tb	tb	ADP
ejpam-6643	155	6	reporting	report	VERB
ejpam-6643	155	7	up	up	ADP
ejpam-6643	155	8	into	into	ADP
ejpam-6643	155	9	dall	dall	NOUN
ejpam-6643	155	10	.	.	PUNCT
ejpam-6643	156	1	hence	hence	ADV
ejpam-6643	156	2	dsuhg(2	dsuhg(2	PROPN
ejpam-6643	156	3	)	)	PUNCT
ejpam-6643	156	4	=	=	PRON
ejpam-6643	156	5	(	(	PUNCT
ejpam-6643	156	6	v	v	NOUN
ejpam-6643	156	7	,	,	PUNCT
ejpam-6643	156	8	e	e	NOUN
ejpam-6643	156	9	)	)	PUNCT
ejpam-6643	156	10	is	be	AUX
ejpam-6643	156	11	a	a	DET
ejpam-6643	156	12	directed	direct	VERB
ejpam-6643	156	13	2	2	NUM
ejpam-6643	156	14	-	-	PUNCT
ejpam-6643	156	15	superhypergraph	superhypergraph	NOUN
ejpam-6643	156	16	that	that	PRON
ejpam-6643	156	17	captures	capture	VERB
ejpam-6643	156	18	the	the	DET
ejpam-6643	156	19	two	two	NUM
ejpam-6643	156	20	-	-	PUNCT
ejpam-6643	156	21	tier	tier	NOUN
ejpam-6643	156	22	reporting	reporting	NOUN
ejpam-6643	156	23	structure	structure	NOUN
ejpam-6643	156	24	in	in	ADP
ejpam-6643	156	25	this	this	DET
ejpam-6643	156	26	organization	organization	NOUN
ejpam-6643	156	27	.	.	PUNCT
ejpam-6643	157	1	example	example	NOUN
ejpam-6643	157	2	8	8	NUM
ejpam-6643	157	3	(	(	PUNCT
ejpam-6643	157	4	corporate	corporate	ADJ
ejpam-6643	157	5	hierarchy	hierarchy	NOUN
ejpam-6643	157	6	as	as	ADP
ejpam-6643	157	7	a	a	DET
ejpam-6643	157	8	directed	direct	VERB
ejpam-6643	157	9	3	3	NUM
ejpam-6643	157	10	-	-	PUNCT
ejpam-6643	157	11	superhypergraph	superhypergraph	NOUN
ejpam-6643	157	12	)	)	PUNCT
ejpam-6643	157	13	.	.	PUNCT
ejpam-6643	158	1	consider	consider	VERB
ejpam-6643	158	2	a	a	DET
ejpam-6643	158	3	multinational	multinational	ADJ
ejpam-6643	158	4	company	company	NOUN
ejpam-6643	158	5	with	with	ADP
ejpam-6643	158	6	four	four	NUM
ejpam-6643	158	7	employees	employee	NOUN
ejpam-6643	158	8	:	:	PUNCT
ejpam-6643	158	9	s	s	X
ejpam-6643	158	10	=	=	SYM
ejpam-6643	158	11	{	{	PUNCT
ejpam-6643	158	12	keisuke	keisuke	PROPN
ejpam-6643	158	13	,	,	PUNCT
ejpam-6643	158	14	bob	bob	PROPN
ejpam-6643	158	15	,	,	PUNCT
ejpam-6643	158	16	sakura	sakura	PROPN
ejpam-6643	158	17	,	,	PUNCT
ejpam-6643	158	18	dave	dave	PROPN
ejpam-6643	158	19	}	}	PUNCT
ejpam-6643	158	20	.	.	PUNCT
ejpam-6643	159	1	they	they	PRON
ejpam-6643	159	2	form	form	VERB
ejpam-6643	159	3	two	two	NUM
ejpam-6643	159	4	project	project	NOUN
ejpam-6643	159	5	teams	team	NOUN
ejpam-6643	159	6	:	:	PUNCT
ejpam-6643	159	7	t1	t1	NUM
ejpam-6643	159	8	=	=	SYM
ejpam-6643	159	9	{	{	PUNCT
ejpam-6643	159	10	keisuke	keisuke	PROPN
ejpam-6643	159	11	,	,	PUNCT
ejpam-6643	159	12	bob	bob	PROPN
ejpam-6643	159	13	}	}	PUNCT
ejpam-6643	159	14	,	,	PUNCT
ejpam-6643	159	15	t2	t2	PROPN
ejpam-6643	159	16	=	=	SYM
ejpam-6643	159	17	{	{	PUNCT
ejpam-6643	159	18	sakura	sakura	NOUN
ejpam-6643	159	19	,	,	PUNCT
ejpam-6643	159	20	dave	dave	PROPN
ejpam-6643	159	21	}	}	PUNCT
ejpam-6643	159	22	,	,	PUNCT
ejpam-6643	159	23	t.	t.	PROPN
ejpam-6643	159	24	fujita	fujita	PROPN
ejpam-6643	159	25	,	,	PUNCT
ejpam-6643	159	26	f.smarandache	f.smarandache	NOUN
ejpam-6643	159	27	/	/	SYM
ejpam-6643	159	28	eur	eur	PROPN
ejpam-6643	159	29	.	.	PUNCT
ejpam-6643	160	1	j.	j.	PROPN
ejpam-6643	160	2	pure	pure	PROPN
ejpam-6643	160	3	appl	appl	PROPN
ejpam-6643	160	4	.	.	PROPN
ejpam-6643	160	5	math	math	PROPN
ejpam-6643	160	6	,	,	PUNCT
ejpam-6643	160	7	18	18	NUM
ejpam-6643	160	8	(	(	PUNCT
ejpam-6643	160	9	4	4	NUM
ejpam-6643	160	10	)	)	PUNCT
ejpam-6643	160	11	(	(	PUNCT
ejpam-6643	160	12	2025	2025	NUM
ejpam-6643	160	13	)	)	PUNCT
ejpam-6643	160	14	,	,	PUNCT
ejpam-6643	160	15	6643	6643	NUM
ejpam-6643	160	16	10	10	NUM
ejpam-6643	160	17	of	of	ADP
ejpam-6643	160	18	27	27	NUM
ejpam-6643	160	19	so	so	SCONJ
ejpam-6643	160	20	that	that	SCONJ
ejpam-6643	160	21	pows1(s	pows1(s	VERB
ejpam-6643	160	22	)	)	PUNCT
ejpam-6643	160	23	⊇	⊇	NOUN
ejpam-6643	160	24	{	{	PUNCT
ejpam-6643	160	25	t1	t1	NOUN
ejpam-6643	160	26	,	,	PUNCT
ejpam-6643	160	27	t2	t2	NOUN
ejpam-6643	160	28	}	}	PUNCT
ejpam-6643	160	29	.	.	PUNCT
ejpam-6643	161	1	at	at	ADP
ejpam-6643	161	2	the	the	DET
ejpam-6643	161	3	next	next	ADJ
ejpam-6643	161	4	level	level	NOUN
ejpam-6643	161	5	,	,	PUNCT
ejpam-6643	161	6	these	these	DET
ejpam-6643	161	7	teams	team	NOUN
ejpam-6643	161	8	belong	belong	VERB
ejpam-6643	161	9	to	to	ADP
ejpam-6643	161	10	departments	department	NOUN
ejpam-6643	161	11	:	:	PUNCT
ejpam-6643	161	12	d1	d1	PROPN
ejpam-6643	161	13	=	=	PUNCT
ejpam-6643	161	14	{	{	PUNCT
ejpam-6643	161	15	t1	t1	NOUN
ejpam-6643	161	16	}	}	PUNCT
ejpam-6643	161	17	,	,	PUNCT
ejpam-6643	161	18	d2	d2	PROPN
ejpam-6643	161	19	=	=	SYM
ejpam-6643	161	20	{	{	PUNCT
ejpam-6643	161	21	t2	t2	NOUN
ejpam-6643	161	22	}	}	PUNCT
ejpam-6643	161	23	,	,	PUNCT
ejpam-6643	161	24	so	so	SCONJ
ejpam-6643	161	25	that	that	DET
ejpam-6643	161	26	pows2(s	pows2(s	ADJ
ejpam-6643	161	27	)	)	PUNCT
ejpam-6643	161	28	⊇	⊇	NOUN
ejpam-6643	161	29	{	{	PUNCT
ejpam-6643	161	30	d1	d1	PROPN
ejpam-6643	161	31	,	,	PUNCT
ejpam-6643	161	32	d2	d2	PROPN
ejpam-6643	161	33	}	}	PUNCT
ejpam-6643	161	34	.	.	PUNCT
ejpam-6643	162	1	at	at	ADP
ejpam-6643	162	2	the	the	DET
ejpam-6643	162	3	third	third	ADJ
ejpam-6643	162	4	level	level	NOUN
ejpam-6643	162	5	,	,	PUNCT
ejpam-6643	162	6	departments	department	NOUN
ejpam-6643	162	7	are	be	AUX
ejpam-6643	162	8	grouped	group	VERB
ejpam-6643	162	9	into	into	ADP
ejpam-6643	162	10	divisions	division	NOUN
ejpam-6643	162	11	:	:	PUNCT
ejpam-6643	162	12	div1	div1	PROPN
ejpam-6643	162	13	=	=	PROPN
ejpam-6643	162	14	{	{	PUNCT
ejpam-6643	162	15	d1	d1	PROPN
ejpam-6643	162	16	}	}	PUNCT
ejpam-6643	162	17	,	,	PUNCT
ejpam-6643	162	18	div2	div2	PROPN
ejpam-6643	162	19	=	=	PROPN
ejpam-6643	162	20	{	{	PUNCT
ejpam-6643	162	21	d2	d2	PROPN
ejpam-6643	162	22	}	}	PUNCT
ejpam-6643	162	23	,	,	PUNCT
ejpam-6643	162	24	divall	divall	NOUN
ejpam-6643	162	25	=	=	SYM
ejpam-6643	162	26	{	{	PUNCT
ejpam-6643	162	27	d1	d1	PROPN
ejpam-6643	162	28	,	,	PUNCT
ejpam-6643	162	29	d2	d2	PROPN
ejpam-6643	162	30	}	}	PUNCT
ejpam-6643	162	31	,	,	PUNCT
ejpam-6643	162	32	so	so	SCONJ
ejpam-6643	162	33	that	that	SCONJ
ejpam-6643	162	34	pows3(s	pows3(	VERB
ejpam-6643	162	35	)	)	PUNCT
ejpam-6643	162	36	⊇	⊇	PROPN
ejpam-6643	162	37	v	v	NOUN
ejpam-6643	162	38	=	=	PUNCT
ejpam-6643	162	39	{	{	PUNCT
ejpam-6643	162	40	div1,div2,divall	div1,div2,divall	NOUN
ejpam-6643	162	41	}	}	PUNCT
ejpam-6643	162	42	.	.	PUNCT
ejpam-6643	163	1	we	we	PRON
ejpam-6643	163	2	then	then	ADV
ejpam-6643	163	3	define	define	VERB
ejpam-6643	163	4	the	the	DET
ejpam-6643	163	5	directed	direct	VERB
ejpam-6643	163	6	3	3	NUM
ejpam-6643	163	7	-	-	PUNCT
ejpam-6643	163	8	superhyperedges	superhyperedge	NOUN
ejpam-6643	163	9	e	e	NOUN
ejpam-6643	163	10	=	=	PRON
ejpam-6643	163	11	{	{	PUNCT
ejpam-6643	163	12	e1	e1	NOUN
ejpam-6643	163	13	=	=	SYM
ejpam-6643	163	14	(	(	PUNCT
ejpam-6643	163	15	{	{	PUNCT
ejpam-6643	163	16	div1	div1	PROPN
ejpam-6643	163	17	}	}	PUNCT
ejpam-6643	163	18	,	,	PUNCT
ejpam-6643	163	19	{	{	PUNCT
ejpam-6643	163	20	divall	divall	NOUN
ejpam-6643	163	21	}	}	PUNCT
ejpam-6643	163	22	)	)	PUNCT
ejpam-6643	163	23	,	,	PUNCT
ejpam-6643	163	24	e2	e2	PROPN
ejpam-6643	163	25	=	=	SYM
ejpam-6643	163	26	(	(	PUNCT
ejpam-6643	163	27	{	{	PUNCT
ejpam-6643	163	28	div2	div2	PROPN
ejpam-6643	163	29	}	}	PUNCT
ejpam-6643	163	30	,	,	PUNCT
ejpam-6643	163	31	{	{	PUNCT
ejpam-6643	163	32	divall	divall	NOUN
ejpam-6643	163	33	}	}	PUNCT
ejpam-6643	163	34	)	)	PUNCT
ejpam-6643	163	35	}	}	PUNCT
ejpam-6643	163	36	.	.	PUNCT
ejpam-6643	164	1	here	here	ADV
ejpam-6643	164	2	:	:	PUNCT
ejpam-6643	164	3	•	•	NUM
ejpam-6643	164	4	e1	e1	NOUN
ejpam-6643	164	5	models	model	NOUN
ejpam-6643	164	6	division	division	NOUN
ejpam-6643	164	7	1	1	NUM
ejpam-6643	164	8	reporting	report	VERB
ejpam-6643	164	9	into	into	ADP
ejpam-6643	164	10	the	the	DET
ejpam-6643	164	11	overall	overall	ADJ
ejpam-6643	164	12	corporate	corporate	ADJ
ejpam-6643	164	13	division	division	NOUN
ejpam-6643	164	14	.	.	PUNCT
ejpam-6643	165	1	•	•	PROPN
ejpam-6643	165	2	e2	e2	PROPN
ejpam-6643	165	3	models	model	NOUN
ejpam-6643	165	4	division	division	NOUN
ejpam-6643	165	5	2	2	NUM
ejpam-6643	165	6	reporting	reporting	NOUN
ejpam-6643	165	7	into	into	ADP
ejpam-6643	165	8	the	the	DET
ejpam-6643	165	9	overall	overall	ADJ
ejpam-6643	165	10	corporate	corporate	ADJ
ejpam-6643	165	11	division	division	NOUN
ejpam-6643	165	12	.	.	PUNCT
ejpam-6643	166	1	thus	thus	ADV
ejpam-6643	166	2	,	,	PUNCT
ejpam-6643	166	3	dsuhg(3	dsuhg(3	PROPN
ejpam-6643	166	4	)	)	PUNCT
ejpam-6643	167	1	=	=	PUNCT
ejpam-6643	167	2	(	(	PUNCT
ejpam-6643	167	3	v	v	NOUN
ejpam-6643	167	4	,	,	PUNCT
ejpam-6643	167	5	e	e	NOUN
ejpam-6643	167	6	)	)	PUNCT
ejpam-6643	167	7	is	be	AUX
ejpam-6643	167	8	a	a	DET
ejpam-6643	167	9	directed	direct	VERB
ejpam-6643	167	10	3	3	NUM
ejpam-6643	167	11	-	-	PUNCT
ejpam-6643	167	12	superhypergraph	superhypergraph	NOUN
ejpam-6643	167	13	capturing	capture	VERB
ejpam-6643	167	14	the	the	DET
ejpam-6643	167	15	four	four	NUM
ejpam-6643	167	16	-	-	PUNCT
ejpam-6643	167	17	tier	tier	NOUN
ejpam-6643	167	18	hierarchy	hierarchy	NOUN
ejpam-6643	167	19	—	—	PUNCT
ejpam-6643	167	20	employees	employee	NOUN
ejpam-6643	167	21	,	,	PUNCT
ejpam-6643	167	22	teams	team	NOUN
ejpam-6643	167	23	,	,	PUNCT
ejpam-6643	167	24	departments	department	NOUN
ejpam-6643	167	25	,	,	PUNCT
ejpam-6643	167	26	and	and	CCONJ
ejpam-6643	167	27	divisions	division	NOUN
ejpam-6643	167	28	—	—	PUNCT
ejpam-6643	167	29	of	of	ADP
ejpam-6643	167	30	the	the	DET
ejpam-6643	167	31	organization	organization	NOUN
ejpam-6643	167	32	.	.	PUNCT
ejpam-6643	168	1	3	3	X
ejpam-6643	168	2	.	.	X
ejpam-6643	168	3	main	main	ADJ
ejpam-6643	168	4	results	result	NOUN
ejpam-6643	168	5	in	in	ADP
ejpam-6643	168	6	this	this	DET
ejpam-6643	168	7	section	section	NOUN
ejpam-6643	168	8	,	,	PUNCT
ejpam-6643	168	9	we	we	PRON
ejpam-6643	168	10	present	present	VERB
ejpam-6643	168	11	the	the	DET
ejpam-6643	168	12	main	main	ADJ
ejpam-6643	168	13	contributions	contribution	NOUN
ejpam-6643	168	14	of	of	ADP
ejpam-6643	168	15	this	this	DET
ejpam-6643	168	16	paper	paper	NOUN
ejpam-6643	168	17	,	,	PUNCT
ejpam-6643	168	18	focusing	focus	VERB
ejpam-6643	168	19	on	on	ADP
ejpam-6643	168	20	the	the	DET
ejpam-6643	168	21	structure	structure	NOUN
ejpam-6643	168	22	and	and	CCONJ
ejpam-6643	168	23	properties	property	NOUN
ejpam-6643	168	24	of	of	ADP
ejpam-6643	168	25	soft	soft	ADJ
ejpam-6643	168	26	directed	direct	VERB
ejpam-6643	168	27	n	n	CCONJ
ejpam-6643	168	28	-	-	PUNCT
ejpam-6643	168	29	superhypergraphs	superhypergraph	NOUN
ejpam-6643	168	30	.	.	PUNCT
ejpam-6643	169	1	3.1	3.1	NUM
ejpam-6643	169	2	.	.	PUNCT
ejpam-6643	169	3	soft	soft	ADJ
ejpam-6643	169	4	directed	direct	VERB
ejpam-6643	169	5	n	n	CCONJ
ejpam-6643	169	6	-	-	PUNCT
ejpam-6643	169	7	superhypergraphs	superhypergraph	NOUN
ejpam-6643	169	8	we	we	PRON
ejpam-6643	169	9	now	now	ADV
ejpam-6643	169	10	introduce	introduce	VERB
ejpam-6643	169	11	soft	soft	ADJ
ejpam-6643	169	12	directed	direct	VERB
ejpam-6643	169	13	n	n	CCONJ
ejpam-6643	169	14	-	-	PUNCT
ejpam-6643	169	15	superhypergraphs	superhypergraph	NOUN
ejpam-6643	169	16	,	,	PUNCT
ejpam-6643	169	17	which	which	PRON
ejpam-6643	169	18	unite	unite	VERB
ejpam-6643	169	19	the	the	DET
ejpam-6643	169	20	ideas	idea	NOUN
ejpam-6643	169	21	of	of	ADP
ejpam-6643	169	22	directed	direct	VERB
ejpam-6643	169	23	n	n	CCONJ
ejpam-6643	169	24	-	-	PUNCT
ejpam-6643	169	25	superhypergraphs	superhypergraph	NOUN
ejpam-6643	169	26	and	and	CCONJ
ejpam-6643	169	27	soft	soft	ADJ
ejpam-6643	169	28	n	n	CCONJ
ejpam-6643	169	29	-	-	PUNCT
ejpam-6643	169	30	superhypergraphs	superhypergraph	NOUN
ejpam-6643	169	31	under	under	ADP
ejpam-6643	169	32	a	a	DET
ejpam-6643	169	33	single	single	ADJ
ejpam-6643	169	34	framework	framework	NOUN
ejpam-6643	169	35	.	.	PUNCT
ejpam-6643	170	1	definition	definition	NOUN
ejpam-6643	170	2	10	10	NUM
ejpam-6643	170	3	(	(	PUNCT
ejpam-6643	170	4	soft	soft	ADJ
ejpam-6643	170	5	directed	directed	ADJ
ejpam-6643	170	6	n	n	CCONJ
ejpam-6643	170	7	-	-	PUNCT
ejpam-6643	170	8	superhypergraph	superhypergraph	NOUN
ejpam-6643	170	9	)	)	PUNCT
ejpam-6643	170	10	.	.	PUNCT
ejpam-6643	171	1	let	let	VERB
ejpam-6643	171	2	s	s	PRON
ejpam-6643	171	3	be	be	AUX
ejpam-6643	171	4	a	a	DET
ejpam-6643	171	5	finite	finite	ADJ
ejpam-6643	171	6	base	base	NOUN
ejpam-6643	171	7	set	set	NOUN
ejpam-6643	171	8	and	and	CCONJ
ejpam-6643	171	9	n	n	PRON
ejpam-6643	171	10	≥	≥	NOUN
ejpam-6643	171	11	0	0	NUM
ejpam-6643	171	12	.	.	PUNCT
ejpam-6643	172	1	define	define	VERB
ejpam-6643	172	2	iterated	iterated	ADJ
ejpam-6643	172	3	powersets	powerset	NOUN
ejpam-6643	172	4	by	by	ADP
ejpam-6643	172	5	pows0(s	pows0(s	PROPN
ejpam-6643	172	6	)	)	PUNCT
ejpam-6643	173	1	=	=	SYM
ejpam-6643	173	2	s	s	PROPN
ejpam-6643	173	3	,	,	PUNCT
ejpam-6643	173	4	powsk+1(s	powsk+1(	VERB
ejpam-6643	173	5	)	)	PUNCT
ejpam-6643	173	6	=	=	SYM
ejpam-6643	173	7	pows	pow	NOUN
ejpam-6643	173	8	(	(	PUNCT
ejpam-6643	173	9	powsk(s	powsk(s	NOUN
ejpam-6643	173	10	)	)	PUNCT
ejpam-6643	173	11	)	)	PUNCT
ejpam-6643	173	12	.	.	PUNCT
ejpam-6643	174	1	a	a	DET
ejpam-6643	174	2	directed	direct	VERB
ejpam-6643	174	3	n	n	CCONJ
ejpam-6643	174	4	-	-	PUNCT
ejpam-6643	174	5	superhypergraph	superhypergraph	NOUN
ejpam-6643	174	6	is	be	AUX
ejpam-6643	174	7	a	a	DET
ejpam-6643	174	8	pair	pair	NOUN
ejpam-6643	174	9	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	174	10	)	)	PUNCT
ejpam-6643	174	11	=	=	SYM
ejpam-6643	174	12	(	(	PUNCT
ejpam-6643	174	13	v	v	NOUN
ejpam-6643	174	14	,	,	PUNCT
ejpam-6643	174	15	e	e	NOUN
ejpam-6643	174	16	)	)	PUNCT
ejpam-6643	174	17	with	with	ADP
ejpam-6643	174	18	v	v	ADP
ejpam-6643	174	19	⊆	⊆	NUM
ejpam-6643	174	20	powsn(s	powsn(s	NOUN
ejpam-6643	174	21	)	)	PUNCT
ejpam-6643	174	22	,	,	PUNCT
ejpam-6643	174	23	e	e	PROPN
ejpam-6643	174	24	⊆	⊆	NUM
ejpam-6643	174	25	powsn(s	powsn(s	NOUN
ejpam-6643	174	26	)	)	PUNCT
ejpam-6643	174	27	×	×	NOUN
ejpam-6643	174	28	powsn(s	powsn(s	PROPN
ejpam-6643	174	29	)	)	PUNCT
ejpam-6643	174	30	,	,	PUNCT
ejpam-6643	174	31	where	where	SCONJ
ejpam-6643	174	32	each	each	DET
ejpam-6643	174	33	e	e	PROPN
ejpam-6643	174	34	∈	∈	PROPN
ejpam-6643	174	35	e	e	NOUN
ejpam-6643	174	36	is	be	AUX
ejpam-6643	174	37	an	an	DET
ejpam-6643	174	38	ordered	order	VERB
ejpam-6643	174	39	pair	pair	NOUN
ejpam-6643	174	40	(	(	PUNCT
ejpam-6643	174	41	tail(e),head(e	tail(e),head(e	PROPN
ejpam-6643	174	42	)	)	PUNCT
ejpam-6643	174	43	)	)	PUNCT
ejpam-6643	174	44	.	.	PUNCT
ejpam-6643	175	1	let	let	VERB
ejpam-6643	175	2	c	c	PRON
ejpam-6643	175	3	be	be	AUX
ejpam-6643	175	4	a	a	DET
ejpam-6643	175	5	nonempty	nonempty	ADJ
ejpam-6643	175	6	parameter	parameter	NOUN
ejpam-6643	175	7	set	set	NOUN
ejpam-6643	175	8	.	.	PUNCT
ejpam-6643	176	1	a	a	DET
ejpam-6643	176	2	soft	soft	ADJ
ejpam-6643	176	3	directed	direct	VERB
ejpam-6643	176	4	n	n	CCONJ
ejpam-6643	176	5	-	-	PUNCT
ejpam-6643	176	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	176	7	is	be	AUX
ejpam-6643	176	8	the	the	DET
ejpam-6643	176	9	quadruple	quadruple	NOUN
ejpam-6643	176	10	(	(	PUNCT
ejpam-6643	176	11	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	176	12	)	)	PUNCT
ejpam-6643	176	13	,	,	PUNCT
ejpam-6643	176	14	c	c	X
ejpam-6643	176	15	,	,	PUNCT
ejpam-6643	176	16	a	a	DET
ejpam-6643	176	17	,	,	PUNCT
ejpam-6643	176	18	b	b	NOUN
ejpam-6643	176	19	)	)	PUNCT
ejpam-6643	176	20	,	,	PUNCT
ejpam-6643	176	21	t.	t.	PROPN
ejpam-6643	176	22	fujita	fujita	PROPN
ejpam-6643	176	23	,	,	PUNCT
ejpam-6643	176	24	f.smarandache	f.smarandache	NOUN
ejpam-6643	176	25	/	/	SYM
ejpam-6643	176	26	eur	eur	PROPN
ejpam-6643	176	27	.	.	PUNCT
ejpam-6643	177	1	j.	j.	PROPN
ejpam-6643	177	2	pure	pure	PROPN
ejpam-6643	177	3	appl	appl	PROPN
ejpam-6643	177	4	.	.	PROPN
ejpam-6643	177	5	math	math	PROPN
ejpam-6643	177	6	,	,	PUNCT
ejpam-6643	177	7	18	18	NUM
ejpam-6643	177	8	(	(	PUNCT
ejpam-6643	177	9	4	4	NUM
ejpam-6643	177	10	)	)	PUNCT
ejpam-6643	177	11	(	(	PUNCT
ejpam-6643	177	12	2025	2025	NUM
ejpam-6643	177	13	)	)	PUNCT
ejpam-6643	177	14	,	,	PUNCT
ejpam-6643	177	15	6643	6643	NUM
ejpam-6643	177	16	11	11	NUM
ejpam-6643	177	17	of	of	ADP
ejpam-6643	177	18	27	27	NUM
ejpam-6643	177	19	where	where	SCONJ
ejpam-6643	177	20	a	a	PRON
ejpam-6643	177	21	:	:	PUNCT
ejpam-6643	177	22	c	c	NOUN
ejpam-6643	177	23	−→	−→	NOUN
ejpam-6643	177	24	pows(v	pows(v	PROPN
ejpam-6643	177	25	)	)	PUNCT
ejpam-6643	177	26	,	,	PUNCT
ejpam-6643	177	27	b	b	X
ejpam-6643	177	28	:	:	PUNCT
ejpam-6643	177	29	c	c	AUX
ejpam-6643	177	30	−→	−→	NOUN
ejpam-6643	177	31	pows(e	pows(e	PROPN
ejpam-6643	177	32	)	)	PUNCT
ejpam-6643	177	33	,	,	PUNCT
ejpam-6643	177	34	and	and	CCONJ
ejpam-6643	177	35	for	for	ADP
ejpam-6643	177	36	each	each	DET
ejpam-6643	177	37	c	c	NOUN
ejpam-6643	177	38	∈	∈	PROPN
ejpam-6643	177	39	c	c	X
ejpam-6643	177	40	,	,	PUNCT
ejpam-6643	177	41	a(c	a(c	PROPN
ejpam-6643	177	42	)	)	PUNCT
ejpam-6643	177	43	⊆	⊆	NUM
ejpam-6643	177	44	v	v	NOUN
ejpam-6643	177	45	,	,	PUNCT
ejpam-6643	177	46	b(c	b(c	NOUN
ejpam-6643	177	47	)	)	PUNCT
ejpam-6643	177	48	⊆	⊆	NUM
ejpam-6643	177	49	{	{	PUNCT
ejpam-6643	177	50	e	e	NOUN
ejpam-6643	177	51	∈	∈	PROPN
ejpam-6643	177	52	e	e	NOUN
ejpam-6643	177	53	:	:	PUNCT
ejpam-6643	177	54	tail(e	tail(e	VERB
ejpam-6643	177	55	)	)	PUNCT
ejpam-6643	177	56	⊆	⊆	NUM
ejpam-6643	177	57	a(c	a(c	NOUN
ejpam-6643	177	58	)	)	PUNCT
ejpam-6643	177	59	,	,	PUNCT
ejpam-6643	177	60	head(e	head(e	PROPN
ejpam-6643	177	61	)	)	PUNCT
ejpam-6643	177	62	⊆	⊆	NUM
ejpam-6643	177	63	a(c	a(c	NOUN
ejpam-6643	177	64	)	)	PUNCT
ejpam-6643	177	65	}	}	PUNCT
ejpam-6643	177	66	.	.	PUNCT
ejpam-6643	178	1	each	each	DET
ejpam-6643	178	2	induced	induce	VERB
ejpam-6643	178	3	pair	pair	NOUN
ejpam-6643	178	4	(	(	PUNCT
ejpam-6643	178	5	a(c	a(c	PROPN
ejpam-6643	178	6	)	)	PUNCT
ejpam-6643	178	7	,	,	PUNCT
ejpam-6643	178	8	b(c	b(c	NOUN
ejpam-6643	178	9	)	)	PUNCT
ejpam-6643	178	10	)	)	PUNCT
ejpam-6643	178	11	is	be	AUX
ejpam-6643	178	12	called	call	VERB
ejpam-6643	178	13	the	the	DET
ejpam-6643	178	14	soft	soft	ADJ
ejpam-6643	178	15	directed	direct	VERB
ejpam-6643	178	16	sub	sub	ADJ
ejpam-6643	178	17	-	-	ADJ
ejpam-6643	178	18	n	n	CCONJ
ejpam-6643	178	19	-	-	PUNCT
ejpam-6643	178	20	superhypergraph	superhypergraph	NOUN
ejpam-6643	178	21	at	at	ADP
ejpam-6643	178	22	parameter	parameter	PROPN
ejpam-6643	178	23	c.	c.	PROPN
ejpam-6643	178	24	example	example	NOUN
ejpam-6643	178	25	9	9	NUM
ejpam-6643	178	26	(	(	PUNCT
ejpam-6643	178	27	emergency	emergency	NOUN
ejpam-6643	178	28	response	response	NOUN
ejpam-6643	178	29	network	network	NOUN
ejpam-6643	178	30	as	as	ADP
ejpam-6643	178	31	a	a	DET
ejpam-6643	178	32	soft	soft	ADJ
ejpam-6643	178	33	directed	direct	VERB
ejpam-6643	178	34	2	2	NUM
ejpam-6643	178	35	-	-	PUNCT
ejpam-6643	178	36	superhypergraph	superhypergraph	NOUN
ejpam-6643	178	37	)	)	PUNCT
ejpam-6643	178	38	.	.	PUNCT
ejpam-6643	179	1	consider	consider	VERB
ejpam-6643	179	2	a	a	DET
ejpam-6643	179	3	country	country	NOUN
ejpam-6643	179	4	-	-	PUNCT
ejpam-6643	179	5	wide	wide	ADJ
ejpam-6643	179	6	emergency	emergency	NOUN
ejpam-6643	179	7	response	response	NOUN
ejpam-6643	179	8	system	system	NOUN
ejpam-6643	179	9	.	.	PUNCT
ejpam-6643	180	1	the	the	DET
ejpam-6643	180	2	base	base	NOUN
ejpam-6643	180	3	set	set	NOUN
ejpam-6643	180	4	of	of	ADP
ejpam-6643	180	5	ground	ground	NOUN
ejpam-6643	180	6	units	unit	NOUN
ejpam-6643	180	7	is	be	AUX
ejpam-6643	180	8	s	s	NOUN
ejpam-6643	180	9	=	=	PUNCT
ejpam-6643	180	10	{	{	PUNCT
ejpam-6643	180	11	teama	teama	NOUN
ejpam-6643	180	12	,	,	PUNCT
ejpam-6643	180	13	teamb	teamb	NOUN
ejpam-6643	180	14	,	,	PUNCT
ejpam-6643	180	15	teamc	teamc	NOUN
ejpam-6643	180	16	}	}	PUNCT
ejpam-6643	180	17	.	.	PUNCT
ejpam-6643	181	1	they	they	PRON
ejpam-6643	181	2	form	form	VERB
ejpam-6643	181	3	regional	regional	ADJ
ejpam-6643	181	4	clusters	cluster	NOUN
ejpam-6643	181	5	(	(	PUNCT
ejpam-6643	181	6	first	first	ADJ
ejpam-6643	181	7	-	-	PUNCT
ejpam-6643	181	8	level	level	NOUN
ejpam-6643	181	9	supervertices	supervertice	NOUN
ejpam-6643	181	10	):	):	PUNCT
ejpam-6643	181	11	v1	v1	NOUN
ejpam-6643	181	12	=	=	SYM
ejpam-6643	181	13	{	{	PUNCT
ejpam-6643	181	14	r1	r1	NOUN
ejpam-6643	181	15	=	=	SYM
ejpam-6643	181	16	{	{	PUNCT
ejpam-6643	181	17	teama	teama	NOUN
ejpam-6643	181	18	,	,	PUNCT
ejpam-6643	181	19	teamb	teamb	NOUN
ejpam-6643	181	20	}	}	PUNCT
ejpam-6643	181	21	,	,	PUNCT
ejpam-6643	181	22	r2	r2	PROPN
ejpam-6643	181	23	=	=	PUNCT
ejpam-6643	181	24	{	{	PUNCT
ejpam-6643	181	25	teamb	teamb	NOUN
ejpam-6643	181	26	,	,	PUNCT
ejpam-6643	181	27	teamc	teamc	NOUN
ejpam-6643	181	28	}	}	PUNCT
ejpam-6643	181	29	}	}	PUNCT
ejpam-6643	181	30	⊆	⊆	NUM
ejpam-6643	181	31	pows1(s	pows1(	NOUN
ejpam-6643	181	32	)	)	PUNCT
ejpam-6643	181	33	.	.	PUNCT
ejpam-6643	182	1	at	at	ADP
ejpam-6643	182	2	the	the	DET
ejpam-6643	182	3	second	second	ADJ
ejpam-6643	182	4	level	level	NOUN
ejpam-6643	182	5	,	,	PUNCT
ejpam-6643	182	6	these	these	DET
ejpam-6643	182	7	regions	region	NOUN
ejpam-6643	182	8	coordinate	coordinate	VERB
ejpam-6643	182	9	under	under	ADP
ejpam-6643	182	10	a	a	DET
ejpam-6643	182	11	national	national	ADJ
ejpam-6643	182	12	command	command	NOUN
ejpam-6643	182	13	:	:	PUNCT
ejpam-6643	182	14	v2	v2	PROPN
ejpam-6643	182	15	=	=	SYM
ejpam-6643	182	16	{	{	PUNCT
ejpam-6643	182	17	n	n	NOUN
ejpam-6643	182	18	=	=	NUM
ejpam-6643	182	19	{	{	PUNCT
ejpam-6643	182	20	r1	r1	PROPN
ejpam-6643	182	21	,	,	PUNCT
ejpam-6643	182	22	r2	r2	PROPN
ejpam-6643	182	23	}	}	PUNCT
ejpam-6643	182	24	}	}	PUNCT
ejpam-6643	182	25	⊆	⊆	NUM
ejpam-6643	182	26	pows2(s	pows2(s	NOUN
ejpam-6643	182	27	)	)	PUNCT
ejpam-6643	182	28	.	.	PUNCT
ejpam-6643	183	1	we	we	PRON
ejpam-6643	183	2	define	define	VERB
ejpam-6643	183	3	directed	direct	VERB
ejpam-6643	183	4	2	2	NUM
ejpam-6643	183	5	-	-	PUNCT
ejpam-6643	183	6	superedges	superedge	NOUN
ejpam-6643	183	7	to	to	PART
ejpam-6643	183	8	model	model	VERB
ejpam-6643	183	9	information	information	NOUN
ejpam-6643	183	10	flow	flow	NOUN
ejpam-6643	183	11	:	:	PUNCT
ejpam-6643	184	1	e	e	X
ejpam-6643	184	2	=	=	PRON
ejpam-6643	184	3	{	{	PUNCT
ejpam-6643	184	4	e1	e1	PROPN
ejpam-6643	184	5	=	=	SYM
ejpam-6643	184	6	(	(	PUNCT
ejpam-6643	184	7	{	{	PUNCT
ejpam-6643	184	8	r1	r1	PROPN
ejpam-6643	184	9	}	}	PUNCT
ejpam-6643	184	10	,	,	PUNCT
ejpam-6643	184	11	{	{	PUNCT
ejpam-6643	184	12	n	n	CCONJ
ejpam-6643	184	13	}	}	PUNCT
ejpam-6643	184	14	)	)	PUNCT
ejpam-6643	184	15	,	,	PUNCT
ejpam-6643	184	16	e2	e2	PROPN
ejpam-6643	184	17	=	=	SYM
ejpam-6643	184	18	(	(	PUNCT
ejpam-6643	184	19	{	{	PUNCT
ejpam-6643	184	20	r2	r2	PROPN
ejpam-6643	184	21	}	}	PUNCT
ejpam-6643	184	22	,	,	PUNCT
ejpam-6643	184	23	{	{	PUNCT
ejpam-6643	184	24	n	n	CCONJ
ejpam-6643	184	25	}	}	PUNCT
ejpam-6643	184	26	)	)	PUNCT
ejpam-6643	184	27	}	}	PUNCT
ejpam-6643	184	28	.	.	PUNCT
ejpam-6643	185	1	next	next	ADV
ejpam-6643	185	2	,	,	PUNCT
ejpam-6643	185	3	let	let	VERB
ejpam-6643	185	4	the	the	DET
ejpam-6643	185	5	parameter	parameter	NOUN
ejpam-6643	185	6	set	set	NOUN
ejpam-6643	185	7	capture	capture	VERB
ejpam-6643	185	8	the	the	DET
ejpam-6643	185	9	system	system	NOUN
ejpam-6643	185	10	’s	’s	PART
ejpam-6643	185	11	operational	operational	ADJ
ejpam-6643	185	12	mode	mode	NOUN
ejpam-6643	185	13	:	:	PUNCT
ejpam-6643	185	14	c	c	X
ejpam-6643	185	15	=	=	SYM
ejpam-6643	185	16	{	{	PUNCT
ejpam-6643	185	17	routine	routine	ADJ
ejpam-6643	185	18	,	,	PUNCT
ejpam-6643	185	19	emergency	emergency	NOUN
ejpam-6643	185	20	}	}	PUNCT
ejpam-6643	185	21	.	.	PUNCT
ejpam-6643	186	1	define	define	VERB
ejpam-6643	186	2	soft	soft	ADJ
ejpam-6643	186	3	selection	selection	NOUN
ejpam-6643	186	4	maps	map	NOUN
ejpam-6643	186	5	a	a	DET
ejpam-6643	186	6	:	:	PUNCT
ejpam-6643	186	7	c	c	PROPN
ejpam-6643	186	8	−→	−→	ADJ
ejpam-6643	186	9	pows(v2	pows(v2	NOUN
ejpam-6643	186	10	)	)	PUNCT
ejpam-6643	186	11	,	,	PUNCT
ejpam-6643	186	12	b	b	X
ejpam-6643	186	13	:	:	PUNCT
ejpam-6643	186	14	c	c	X
ejpam-6643	186	15	−→	−→	NOUN
ejpam-6643	186	16	pows(e	pows(e	PROPN
ejpam-6643	186	17	)	)	PUNCT
ejpam-6643	186	18	,	,	PUNCT
ejpam-6643	186	19	by	by	ADP
ejpam-6643	186	20	a(routine	a(routine	NOUN
ejpam-6643	186	21	)	)	PUNCT
ejpam-6643	187	1	=	=	PRON
ejpam-6643	187	2	{	{	PUNCT
ejpam-6643	187	3	r1	r1	PROPN
ejpam-6643	187	4	}	}	PUNCT
ejpam-6643	187	5	,	,	PUNCT
ejpam-6643	187	6	b(routine	b(routine	ADJ
ejpam-6643	187	7	)	)	PUNCT
ejpam-6643	187	8	=	=	PRON
ejpam-6643	187	9	{	{	PUNCT
ejpam-6643	187	10	e1	e1	PROPN
ejpam-6643	187	11	}	}	PUNCT
ejpam-6643	187	12	,	,	PUNCT
ejpam-6643	187	13	a(emergency	a(emergency	NOUN
ejpam-6643	187	14	)	)	PUNCT
ejpam-6643	187	15	=	=	PRON
ejpam-6643	187	16	{	{	PUNCT
ejpam-6643	187	17	r1	r1	PROPN
ejpam-6643	187	18	,	,	PUNCT
ejpam-6643	187	19	r2	r2	PROPN
ejpam-6643	187	20	,	,	PUNCT
ejpam-6643	187	21	n	n	CCONJ
ejpam-6643	187	22	}	}	PUNCT
ejpam-6643	187	23	,	,	PUNCT
ejpam-6643	187	24	b(emergency	b(emergency	NOUN
ejpam-6643	187	25	)	)	PUNCT
ejpam-6643	187	26	=	=	PRON
ejpam-6643	187	27	{	{	PUNCT
ejpam-6643	187	28	e1	e1	PROPN
ejpam-6643	187	29	,	,	PUNCT
ejpam-6643	187	30	e2	e2	PROPN
ejpam-6643	187	31	}	}	PUNCT
ejpam-6643	187	32	.	.	PUNCT
ejpam-6643	188	1	here	here	ADV
ejpam-6643	188	2	:	:	PUNCT
ejpam-6643	188	3	•	•	ADP
ejpam-6643	188	4	under	under	ADP
ejpam-6643	188	5	routine	routine	ADJ
ejpam-6643	188	6	mode	mode	NOUN
ejpam-6643	188	7	,	,	PUNCT
ejpam-6643	188	8	only	only	ADJ
ejpam-6643	188	9	region	region	NOUN
ejpam-6643	188	10	r1	r1	PROPN
ejpam-6643	188	11	reports	report	VERB
ejpam-6643	188	12	upward	upward	ADV
ejpam-6643	188	13	,	,	PUNCT
ejpam-6643	188	14	so	so	SCONJ
ejpam-6643	188	15	we	we	PRON
ejpam-6643	188	16	restrict	restrict	VERB
ejpam-6643	188	17	to	to	ADP
ejpam-6643	188	18	{	{	PUNCT
ejpam-6643	188	19	r1	r1	PROPN
ejpam-6643	188	20	}	}	PUNCT
ejpam-6643	188	21	and	and	CCONJ
ejpam-6643	188	22	edge	edge	NOUN
ejpam-6643	188	23	e1	e1	PROPN
ejpam-6643	188	24	.	.	PUNCT
ejpam-6643	189	1	•	•	NOUN
ejpam-6643	189	2	under	under	ADP
ejpam-6643	189	3	emergency	emergency	NOUN
ejpam-6643	189	4	mode	mode	NOUN
ejpam-6643	189	5	,	,	PUNCT
ejpam-6643	189	6	all	all	DET
ejpam-6643	189	7	regions	region	NOUN
ejpam-6643	189	8	and	and	CCONJ
ejpam-6643	189	9	the	the	DET
ejpam-6643	189	10	national	national	ADJ
ejpam-6643	189	11	command	command	NOUN
ejpam-6643	189	12	are	be	AUX
ejpam-6643	189	13	active	active	ADJ
ejpam-6643	189	14	,	,	PUNCT
ejpam-6643	189	15	so	so	ADV
ejpam-6643	189	16	we	we	PRON
ejpam-6643	189	17	include	include	VERB
ejpam-6643	189	18	r1	r1	NOUN
ejpam-6643	189	19	,	,	PUNCT
ejpam-6643	189	20	r2	r2	PROPN
ejpam-6643	189	21	,	,	PUNCT
ejpam-6643	189	22	n	n	NOUN
ejpam-6643	189	23	and	and	CCONJ
ejpam-6643	189	24	both	both	DET
ejpam-6643	189	25	edges	edge	NOUN
ejpam-6643	189	26	e1	e1	PROPN
ejpam-6643	189	27	,	,	PUNCT
ejpam-6643	189	28	e2	e2	PROPN
ejpam-6643	189	29	.	.	PUNCT
ejpam-6643	190	1	t.	t.	PROPN
ejpam-6643	190	2	fujita	fujita	PROPN
ejpam-6643	190	3	,	,	PUNCT
ejpam-6643	190	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	190	5	/	/	SYM
ejpam-6643	190	6	eur	eur	PROPN
ejpam-6643	190	7	.	.	PUNCT
ejpam-6643	191	1	j.	j.	PROPN
ejpam-6643	191	2	pure	pure	PROPN
ejpam-6643	191	3	appl	appl	PROPN
ejpam-6643	191	4	.	.	PROPN
ejpam-6643	191	5	math	math	PROPN
ejpam-6643	191	6	,	,	PUNCT
ejpam-6643	191	7	18	18	NUM
ejpam-6643	191	8	(	(	PUNCT
ejpam-6643	191	9	4	4	NUM
ejpam-6643	191	10	)	)	PUNCT
ejpam-6643	191	11	(	(	PUNCT
ejpam-6643	191	12	2025	2025	NUM
ejpam-6643	191	13	)	)	PUNCT
ejpam-6643	191	14	,	,	PUNCT
ejpam-6643	191	15	6643	6643	NUM
ejpam-6643	191	16	12	12	NUM
ejpam-6643	191	17	of	of	ADP
ejpam-6643	191	18	27	27	NUM
ejpam-6643	191	19	thus	thus	ADV
ejpam-6643	191	20	the	the	DET
ejpam-6643	191	21	quadruple	quadruple	NOUN
ejpam-6643	191	22	(	(	PUNCT
ejpam-6643	191	23	dsuhg(2	dsuhg(2	PROPN
ejpam-6643	191	24	)	)	PUNCT
ejpam-6643	191	25	,	,	PUNCT
ejpam-6643	191	26	c	c	X
ejpam-6643	191	27	,	,	PUNCT
ejpam-6643	191	28	a	a	DET
ejpam-6643	191	29	,	,	PUNCT
ejpam-6643	191	30	b	b	NOUN
ejpam-6643	191	31	)	)	PUNCT
ejpam-6643	191	32	is	be	AUX
ejpam-6643	191	33	a	a	DET
ejpam-6643	191	34	soft	soft	ADJ
ejpam-6643	191	35	directed	direct	VERB
ejpam-6643	191	36	2	2	NUM
ejpam-6643	191	37	-	-	PUNCT
ejpam-6643	191	38	superhypergraph	superhypergraph	NOUN
ejpam-6643	191	39	,	,	PUNCT
ejpam-6643	191	40	illustrating	illustrate	VERB
ejpam-6643	191	41	how	how	SCONJ
ejpam-6643	191	42	parameter	parameter	NOUN
ejpam-6643	191	43	settings	setting	NOUN
ejpam-6643	191	44	select	select	VERB
ejpam-6643	191	45	which	which	DET
ejpam-6643	191	46	supervertices	supervertice	NOUN
ejpam-6643	191	47	and	and	CCONJ
ejpam-6643	191	48	superedges	superedge	NOUN
ejpam-6643	191	49	are	be	AUX
ejpam-6643	191	50	active	active	ADJ
ejpam-6643	191	51	in	in	ADP
ejpam-6643	191	52	different	different	ADJ
ejpam-6643	191	53	operational	operational	ADJ
ejpam-6643	191	54	scenarios	scenario	NOUN
ejpam-6643	191	55	.	.	PUNCT
ejpam-6643	192	1	example	example	NOUN
ejpam-6643	192	2	10	10	NUM
ejpam-6643	192	3	(	(	PUNCT
ejpam-6643	192	4	shift	shift	NOUN
ejpam-6643	192	5	-	-	PUNCT
ejpam-6643	192	6	based	base	VERB
ejpam-6643	192	7	communication	communication	NOUN
ejpam-6643	192	8	in	in	ADP
ejpam-6643	192	9	a	a	DET
ejpam-6643	192	10	global	global	ADJ
ejpam-6643	192	11	corporation	corporation	NOUN
ejpam-6643	192	12	as	as	ADP
ejpam-6643	192	13	a	a	DET
ejpam-6643	192	14	soft	soft	ADJ
ejpam-6643	192	15	directed	direct	VERB
ejpam-6643	192	16	3	3	NUM
ejpam-6643	192	17	-	-	PUNCT
ejpam-6643	192	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	192	19	)	)	PUNCT
ejpam-6643	192	20	.	.	PUNCT
ejpam-6643	193	1	consider	consider	VERB
ejpam-6643	193	2	a	a	DET
ejpam-6643	193	3	multinational	multinational	ADJ
ejpam-6643	193	4	company	company	NOUN
ejpam-6643	193	5	whose	whose	DET
ejpam-6643	193	6	employees	employee	NOUN
ejpam-6643	193	7	form	form	VERB
ejpam-6643	193	8	teams	team	NOUN
ejpam-6643	193	9	,	,	PUNCT
ejpam-6643	193	10	departments	department	NOUN
ejpam-6643	193	11	,	,	PUNCT
ejpam-6643	193	12	and	and	CCONJ
ejpam-6643	193	13	divisions	division	NOUN
ejpam-6643	193	14	.	.	PUNCT
ejpam-6643	194	1	we	we	PRON
ejpam-6643	194	2	model	model	VERB
ejpam-6643	194	3	information	information	NOUN
ejpam-6643	194	4	flow	flow	VERB
ejpam-6643	194	5	through	through	ADP
ejpam-6643	194	6	three	three	NUM
ejpam-6643	194	7	hierarchical	hierarchical	ADJ
ejpam-6643	194	8	levels	level	NOUN
ejpam-6643	194	9	of	of	ADP
ejpam-6643	194	10	“	"	PUNCT
ejpam-6643	194	11	supervertices	supervertice	NOUN
ejpam-6643	194	12	”	"	PUNCT
ejpam-6643	194	13	and	and	CCONJ
ejpam-6643	194	14	allow	allow	VERB
ejpam-6643	194	15	soft	soft	ADJ
ejpam-6643	194	16	selection	selection	NOUN
ejpam-6643	194	17	by	by	ADP
ejpam-6643	194	18	work	work	NOUN
ejpam-6643	194	19	shift	shift	NOUN
ejpam-6643	194	20	.	.	PUNCT
ejpam-6643	195	1	base	base	NOUN
ejpam-6643	195	2	set	set	NOUN
ejpam-6643	195	3	of	of	ADP
ejpam-6643	195	4	employees	employee	NOUN
ejpam-6643	195	5	:	:	PUNCT
ejpam-6643	195	6	s	s	X
ejpam-6643	195	7	=	=	SYM
ejpam-6643	195	8	{	{	PUNCT
ejpam-6643	195	9	keisuke	keisuke	PROPN
ejpam-6643	195	10	,	,	PUNCT
ejpam-6643	195	11	bob	bob	PROPN
ejpam-6643	195	12	,	,	PUNCT
ejpam-6643	195	13	sakura	sakura	NOUN
ejpam-6643	195	14	}	}	PUNCT
ejpam-6643	195	15	.	.	PUNCT
ejpam-6643	196	1	level	level	NOUN
ejpam-6643	196	2	1	1	NUM
ejpam-6643	196	3	supervertices	supervertice	NOUN
ejpam-6643	196	4	(	(	PUNCT
ejpam-6643	196	5	teams	team	NOUN
ejpam-6643	196	6	):	):	PUNCT
ejpam-6643	196	7	t1	t1	NOUN
ejpam-6643	196	8	=	=	PUNCT
ejpam-6643	196	9	{	{	PUNCT
ejpam-6643	196	10	keisuke	keisuke	PROPN
ejpam-6643	196	11	,	,	PUNCT
ejpam-6643	196	12	bob	bob	PROPN
ejpam-6643	196	13	}	}	PUNCT
ejpam-6643	196	14	,	,	PUNCT
ejpam-6643	196	15	t2	t2	PROPN
ejpam-6643	196	16	=	=	SYM
ejpam-6643	196	17	{	{	PUNCT
ejpam-6643	196	18	bob	bob	PROPN
ejpam-6643	196	19	,	,	PUNCT
ejpam-6643	196	20	sakura	sakura	NOUN
ejpam-6643	196	21	}	}	PUNCT
ejpam-6643	196	22	,	,	PUNCT
ejpam-6643	196	23	so	so	ADV
ejpam-6643	196	24	pows1(s	pows1(s	PROPN
ejpam-6643	196	25	)	)	PUNCT
ejpam-6643	196	26	⊇	⊇	NOUN
ejpam-6643	196	27	v1	v1	NOUN
ejpam-6643	196	28	=	=	SYM
ejpam-6643	196	29	{	{	PUNCT
ejpam-6643	196	30	t1	t1	NOUN
ejpam-6643	196	31	,	,	PUNCT
ejpam-6643	196	32	t2	t2	NOUN
ejpam-6643	196	33	}	}	PUNCT
ejpam-6643	196	34	.	.	PUNCT
ejpam-6643	197	1	level	level	NOUN
ejpam-6643	197	2	2	2	NUM
ejpam-6643	197	3	supervertices	supervertice	NOUN
ejpam-6643	197	4	(	(	PUNCT
ejpam-6643	197	5	departments	department	NOUN
ejpam-6643	197	6	):	):	PUNCT
ejpam-6643	197	7	d1	d1	PROPN
ejpam-6643	197	8	=	=	SYM
ejpam-6643	197	9	{	{	PUNCT
ejpam-6643	197	10	t1	t1	NOUN
ejpam-6643	197	11	}	}	PUNCT
ejpam-6643	197	12	,	,	PUNCT
ejpam-6643	197	13	d2	d2	PROPN
ejpam-6643	197	14	=	=	SYM
ejpam-6643	197	15	{	{	PUNCT
ejpam-6643	197	16	t2	t2	NOUN
ejpam-6643	197	17	}	}	PUNCT
ejpam-6643	197	18	,	,	PUNCT
ejpam-6643	197	19	so	so	ADV
ejpam-6643	197	20	pows2(s	pows2(s	ADJ
ejpam-6643	197	21	)	)	PUNCT
ejpam-6643	197	22	⊇	⊇	NOUN
ejpam-6643	197	23	v2	v2	PROPN
ejpam-6643	198	1	=	=	PUNCT
ejpam-6643	198	2	{	{	PUNCT
ejpam-6643	198	3	d1	d1	PROPN
ejpam-6643	198	4	,	,	PUNCT
ejpam-6643	198	5	d2	d2	PROPN
ejpam-6643	198	6	}	}	PUNCT
ejpam-6643	198	7	.	.	PUNCT
ejpam-6643	199	1	level	level	NOUN
ejpam-6643	199	2	3	3	NUM
ejpam-6643	199	3	supervertices	supervertice	NOUN
ejpam-6643	199	4	(	(	PUNCT
ejpam-6643	199	5	divisions	division	NOUN
ejpam-6643	199	6	):	):	PUNCT
ejpam-6643	199	7	u1	u1	NOUN
ejpam-6643	199	8	=	=	SYM
ejpam-6643	199	9	{	{	PUNCT
ejpam-6643	199	10	d1	d1	PROPN
ejpam-6643	199	11	}	}	PUNCT
ejpam-6643	199	12	,	,	PUNCT
ejpam-6643	199	13	u2	u2	NOUN
ejpam-6643	199	14	=	=	SYM
ejpam-6643	199	15	{	{	PUNCT
ejpam-6643	199	16	d2	d2	PROPN
ejpam-6643	199	17	}	}	PUNCT
ejpam-6643	199	18	,	,	PUNCT
ejpam-6643	199	19	u3	u3	NOUN
ejpam-6643	199	20	=	=	SYM
ejpam-6643	199	21	{	{	PUNCT
ejpam-6643	199	22	d1	d1	PROPN
ejpam-6643	199	23	,	,	PUNCT
ejpam-6643	199	24	d2	d2	PROPN
ejpam-6643	199	25	}	}	PUNCT
ejpam-6643	199	26	,	,	PUNCT
ejpam-6643	199	27	so	so	ADV
ejpam-6643	199	28	pows3(s	pows3(s	PROPN
ejpam-6643	199	29	)	)	PUNCT
ejpam-6643	199	30	⊇	⊇	PROPN
ejpam-6643	199	31	v3	v3	PROPN
ejpam-6643	199	32	=	=	SYM
ejpam-6643	199	33	{	{	PUNCT
ejpam-6643	199	34	u1	u1	NOUN
ejpam-6643	199	35	,	,	PUNCT
ejpam-6643	199	36	u2	u2	NOUN
ejpam-6643	199	37	,	,	PUNCT
ejpam-6643	199	38	u3	u3	NOUN
ejpam-6643	199	39	}	}	PUNCT
ejpam-6643	199	40	.	.	PUNCT
ejpam-6643	200	1	directed	direct	VERB
ejpam-6643	200	2	3	3	NUM
ejpam-6643	200	3	-	-	PUNCT
ejpam-6643	200	4	superedges	superedge	NOUN
ejpam-6643	200	5	(	(	PUNCT
ejpam-6643	200	6	communication	communication	NOUN
ejpam-6643	200	7	channels	channel	NOUN
ejpam-6643	200	8	):	):	PUNCT
ejpam-6643	200	9	e3	e3	NOUN
ejpam-6643	200	10	=	=	SYM
ejpam-6643	200	11	{	{	PUNCT
ejpam-6643	200	12	e1	e1	PROPN
ejpam-6643	200	13	=	=	SYM
ejpam-6643	200	14	(	(	PUNCT
ejpam-6643	200	15	{	{	PUNCT
ejpam-6643	200	16	u1	u1	NOUN
ejpam-6643	200	17	}	}	PUNCT
ejpam-6643	200	18	,	,	PUNCT
ejpam-6643	200	19	{	{	PUNCT
ejpam-6643	200	20	u3	u3	NOUN
ejpam-6643	200	21	}	}	PUNCT
ejpam-6643	200	22	)	)	PUNCT
ejpam-6643	200	23	,	,	PUNCT
ejpam-6643	200	24	e2	e2	PROPN
ejpam-6643	200	25	=	=	SYM
ejpam-6643	200	26	(	(	PUNCT
ejpam-6643	200	27	{	{	PUNCT
ejpam-6643	200	28	u2	u2	NOUN
ejpam-6643	200	29	}	}	PUNCT
ejpam-6643	200	30	,	,	PUNCT
ejpam-6643	200	31	{	{	PUNCT
ejpam-6643	200	32	u3	u3	NOUN
ejpam-6643	200	33	}	}	PUNCT
ejpam-6643	200	34	)	)	PUNCT
ejpam-6643	200	35	}	}	PUNCT
ejpam-6643	200	36	.	.	PUNCT
ejpam-6643	201	1	here	here	ADV
ejpam-6643	201	2	e1	e1	NOUN
ejpam-6643	201	3	represents	represent	VERB
ejpam-6643	201	4	division	division	NOUN
ejpam-6643	201	5	1	1	NUM
ejpam-6643	201	6	reporting	reporting	NOUN
ejpam-6643	201	7	to	to	ADP
ejpam-6643	201	8	the	the	DET
ejpam-6643	201	9	corporate	corporate	ADJ
ejpam-6643	201	10	division	division	NOUN
ejpam-6643	201	11	u3	u3	NOUN
ejpam-6643	201	12	,	,	PUNCT
ejpam-6643	201	13	and	and	CCONJ
ejpam-6643	201	14	e2	e2	PROPN
ejpam-6643	201	15	likewise	likewise	ADV
ejpam-6643	201	16	for	for	ADP
ejpam-6643	201	17	division	division	NOUN
ejpam-6643	201	18	2	2	NUM
ejpam-6643	201	19	.	.	PUNCT
ejpam-6643	201	20	soft	soft	ADJ
ejpam-6643	201	21	selection	selection	NOUN
ejpam-6643	201	22	by	by	ADP
ejpam-6643	201	23	work	work	NOUN
ejpam-6643	201	24	shift	shift	NOUN
ejpam-6643	201	25	:	:	PUNCT
ejpam-6643	201	26	let	let	VERB
ejpam-6643	201	27	the	the	DET
ejpam-6643	201	28	parameter	parameter	NOUN
ejpam-6643	201	29	set	set	NOUN
ejpam-6643	201	30	be	be	AUX
ejpam-6643	201	31	c	c	NOUN
ejpam-6643	201	32	=	=	PUNCT
ejpam-6643	201	33	{	{	PUNCT
ejpam-6643	201	34	morning	morning	NOUN
ejpam-6643	201	35	,	,	PUNCT
ejpam-6643	201	36	evening	evening	NOUN
ejpam-6643	201	37	}	}	PUNCT
ejpam-6643	201	38	.	.	PUNCT
ejpam-6643	202	1	define	define	VERB
ejpam-6643	202	2	a	a	DET
ejpam-6643	202	3	:	:	PUNCT
ejpam-6643	202	4	c	c	PROPN
ejpam-6643	202	5	−→	−→	NOUN
ejpam-6643	202	6	pows(v3	pows(v3	NOUN
ejpam-6643	202	7	)	)	PUNCT
ejpam-6643	202	8	,	,	PUNCT
ejpam-6643	202	9	b	b	X
ejpam-6643	202	10	:	:	PUNCT
ejpam-6643	202	11	c	c	PROPN
ejpam-6643	202	12	−→	−→	NOUN
ejpam-6643	202	13	pows(e3	pows(e3	VERB
ejpam-6643	202	14	)	)	PUNCT
ejpam-6643	202	15	,	,	PUNCT
ejpam-6643	202	16	by	by	ADP
ejpam-6643	202	17	a(morning	a(morne	VERB
ejpam-6643	202	18	)	)	PUNCT
ejpam-6643	202	19	=	=	PRON
ejpam-6643	202	20	{	{	PUNCT
ejpam-6643	202	21	u1	u1	NOUN
ejpam-6643	202	22	,	,	PUNCT
ejpam-6643	202	23	u2	u2	NOUN
ejpam-6643	202	24	,	,	PUNCT
ejpam-6643	202	25	u3	u3	NOUN
ejpam-6643	202	26	}	}	PUNCT
ejpam-6643	202	27	,	,	PUNCT
ejpam-6643	202	28	b(morning	b(morne	VERB
ejpam-6643	202	29	)	)	PUNCT
ejpam-6643	202	30	=	=	SYM
ejpam-6643	202	31	{	{	PUNCT
ejpam-6643	202	32	e1	e1	PROPN
ejpam-6643	202	33	,	,	PUNCT
ejpam-6643	202	34	e2	e2	PROPN
ejpam-6643	202	35	}	}	PUNCT
ejpam-6643	202	36	,	,	PUNCT
ejpam-6643	202	37	a(evening	a(evene	VERB
ejpam-6643	202	38	)	)	PUNCT
ejpam-6643	202	39	=	=	PRON
ejpam-6643	202	40	{	{	PUNCT
ejpam-6643	202	41	u2	u2	NOUN
ejpam-6643	202	42	,	,	PUNCT
ejpam-6643	202	43	u3	u3	NOUN
ejpam-6643	202	44	}	}	PUNCT
ejpam-6643	202	45	,	,	PUNCT
ejpam-6643	202	46	b(evening	b(evene	VERB
ejpam-6643	202	47	)	)	PUNCT
ejpam-6643	202	48	=	=	PRON
ejpam-6643	202	49	{	{	PUNCT
ejpam-6643	202	50	e2	e2	PROPN
ejpam-6643	202	51	}	}	PUNCT
ejpam-6643	202	52	.	.	PUNCT
ejpam-6643	203	1	t.	t.	PROPN
ejpam-6643	203	2	fujita	fujita	PROPN
ejpam-6643	203	3	,	,	PUNCT
ejpam-6643	203	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	203	5	/	/	SYM
ejpam-6643	203	6	eur	eur	PROPN
ejpam-6643	203	7	.	.	PUNCT
ejpam-6643	204	1	j.	j.	PROPN
ejpam-6643	204	2	pure	pure	PROPN
ejpam-6643	204	3	appl	appl	PROPN
ejpam-6643	204	4	.	.	PROPN
ejpam-6643	204	5	math	math	PROPN
ejpam-6643	204	6	,	,	PUNCT
ejpam-6643	204	7	18	18	NUM
ejpam-6643	204	8	(	(	PUNCT
ejpam-6643	204	9	4	4	NUM
ejpam-6643	204	10	)	)	PUNCT
ejpam-6643	204	11	(	(	PUNCT
ejpam-6643	204	12	2025	2025	NUM
ejpam-6643	204	13	)	)	PUNCT
ejpam-6643	204	14	,	,	PUNCT
ejpam-6643	204	15	6643	6643	NUM
ejpam-6643	204	16	13	13	NUM
ejpam-6643	204	17	of	of	ADP
ejpam-6643	204	18	27	27	NUM
ejpam-6643	204	19	•	•	NOUN
ejpam-6643	204	20	morning	morning	NOUN
ejpam-6643	204	21	shift	shift	NOUN
ejpam-6643	204	22	:	:	PUNCT
ejpam-6643	204	23	all	all	DET
ejpam-6643	204	24	divisions	division	NOUN
ejpam-6643	204	25	(	(	PUNCT
ejpam-6643	204	26	u1	u1	NOUN
ejpam-6643	204	27	,	,	PUNCT
ejpam-6643	204	28	u2	u2	PROPN
ejpam-6643	204	29	)	)	PUNCT
ejpam-6643	204	30	and	and	CCONJ
ejpam-6643	204	31	corporate	corporate	ADJ
ejpam-6643	204	32	(	(	PUNCT
ejpam-6643	204	33	u3	u3	NOUN
ejpam-6643	204	34	)	)	PUNCT
ejpam-6643	204	35	are	be	AUX
ejpam-6643	204	36	active	active	ADJ
ejpam-6643	204	37	;	;	PUNCT
ejpam-6643	204	38	both	both	DET
ejpam-6643	204	39	channels	channel	NOUN
ejpam-6643	204	40	e1	e1	NOUN
ejpam-6643	204	41	,	,	PUNCT
ejpam-6643	204	42	e2	e2	PROPN
ejpam-6643	204	43	operate	operate	NOUN
ejpam-6643	204	44	.	.	PUNCT
ejpam-6643	205	1	•	•	NUM
ejpam-6643	205	2	evening	evening	NOUN
ejpam-6643	205	3	shift	shift	NOUN
ejpam-6643	205	4	:	:	PUNCT
ejpam-6643	205	5	only	only	ADV
ejpam-6643	205	6	division	division	NOUN
ejpam-6643	205	7	2	2	NUM
ejpam-6643	205	8	(	(	PUNCT
ejpam-6643	205	9	u2	u2	NOUN
ejpam-6643	205	10	)	)	PUNCT
ejpam-6643	205	11	reports	report	NOUN
ejpam-6643	205	12	to	to	ADP
ejpam-6643	205	13	corporate	corporate	ADJ
ejpam-6643	205	14	(	(	PUNCT
ejpam-6643	205	15	u3	u3	NOUN
ejpam-6643	205	16	)	)	PUNCT
ejpam-6643	205	17	,	,	PUNCT
ejpam-6643	205	18	so	so	CCONJ
ejpam-6643	205	19	only	only	ADV
ejpam-6643	205	20	e2	e2	PROPN
ejpam-6643	205	21	is	be	AUX
ejpam-6643	205	22	active	active	ADJ
ejpam-6643	205	23	.	.	PUNCT
ejpam-6643	206	1	hence	hence	ADV
ejpam-6643	206	2	(	(	PUNCT
ejpam-6643	206	3	dsuhg(3	dsuhg(3	PROPN
ejpam-6643	206	4	)	)	PUNCT
ejpam-6643	206	5	,	,	PUNCT
ejpam-6643	206	6	c	c	X
ejpam-6643	206	7	,	,	PUNCT
ejpam-6643	206	8	a	a	DET
ejpam-6643	206	9	,	,	PUNCT
ejpam-6643	206	10	b	b	NOUN
ejpam-6643	206	11	)	)	PUNCT
ejpam-6643	206	12	is	be	AUX
ejpam-6643	206	13	a	a	DET
ejpam-6643	206	14	soft	soft	ADJ
ejpam-6643	206	15	directed	direct	VERB
ejpam-6643	206	16	3	3	NUM
ejpam-6643	206	17	-	-	PUNCT
ejpam-6643	206	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	206	19	capturing	capture	VERB
ejpam-6643	206	20	how	how	SCONJ
ejpam-6643	206	21	shift	shift	NOUN
ejpam-6643	206	22	schedules	schedule	NOUN
ejpam-6643	206	23	select	select	VERB
ejpam-6643	206	24	which	which	PRON
ejpam-6643	206	25	hierarchical	hierarchical	ADJ
ejpam-6643	206	26	communication	communication	NOUN
ejpam-6643	206	27	channels	channel	NOUN
ejpam-6643	206	28	are	be	AUX
ejpam-6643	206	29	used	use	VERB
ejpam-6643	206	30	in	in	ADP
ejpam-6643	206	31	different	different	ADJ
ejpam-6643	206	32	operational	operational	ADJ
ejpam-6643	206	33	contexts	contexts	NOUN
ejpam-6643	206	34	.	.	PUNCT
ejpam-6643	207	1	example	example	NOUN
ejpam-6643	207	2	11	11	NUM
ejpam-6643	207	3	(	(	PUNCT
ejpam-6643	207	4	logistics	logistic	NOUN
ejpam-6643	207	5	network	network	NOUN
ejpam-6643	207	6	as	as	ADP
ejpam-6643	207	7	a	a	DET
ejpam-6643	207	8	soft	soft	ADJ
ejpam-6643	207	9	directed	direct	VERB
ejpam-6643	207	10	4	4	NUM
ejpam-6643	207	11	-	-	PUNCT
ejpam-6643	207	12	superhypergraph	superhypergraph	NOUN
ejpam-6643	207	13	)	)	PUNCT
ejpam-6643	207	14	.	.	PUNCT
ejpam-6643	208	1	we	we	PRON
ejpam-6643	208	2	model	model	VERB
ejpam-6643	208	3	a	a	DET
ejpam-6643	208	4	four	four	NUM
ejpam-6643	208	5	-	-	PUNCT
ejpam-6643	208	6	level	level	NOUN
ejpam-6643	208	7	logistics	logistic	NOUN
ejpam-6643	208	8	hierarchy	hierarchy	NOUN
ejpam-6643	208	9	—	—	PUNCT
ejpam-6643	208	10	from	from	ADP
ejpam-6643	208	11	individual	individual	ADJ
ejpam-6643	208	12	vehicles	vehicle	NOUN
ejpam-6643	208	13	up	up	ADP
ejpam-6643	208	14	to	to	ADP
ejpam-6643	208	15	global	global	ADJ
ejpam-6643	208	16	command	command	NOUN
ejpam-6643	208	17	—	—	PUNCT
ejpam-6643	208	18	under	under	ADP
ejpam-6643	208	19	different	different	ADJ
ejpam-6643	208	20	operational	operational	ADJ
ejpam-6643	208	21	modes	mode	NOUN
ejpam-6643	208	22	.	.	PUNCT
ejpam-6643	209	1	level	level	NOUN
ejpam-6643	209	2	0	0	NUM
ejpam-6643	210	1	(	(	PUNCT
ejpam-6643	210	2	vehicles	vehicle	NOUN
ejpam-6643	210	3	):	):	PUNCT
ejpam-6643	210	4	s0	s0	PROPN
ejpam-6643	210	5	=	=	SYM
ejpam-6643	210	6	{	{	PUNCT
ejpam-6643	210	7	trucka	trucka	NOUN
ejpam-6643	210	8	,	,	PUNCT
ejpam-6643	210	9	truckb	truckb	NOUN
ejpam-6643	210	10	,	,	PUNCT
ejpam-6643	210	11	truckc	truckc	VERB
ejpam-6643	210	12	}	}	PUNCT
ejpam-6643	210	13	.	.	PUNCT
ejpam-6643	211	1	level	level	NOUN
ejpam-6643	211	2	1	1	NUM
ejpam-6643	211	3	(	(	PUNCT
ejpam-6643	211	4	regional	regional	ADJ
ejpam-6643	211	5	hubs	hub	NOUN
ejpam-6643	211	6	):	):	PUNCT
ejpam-6643	211	7	h1	h1	PROPN
ejpam-6643	211	8	=	=	SYM
ejpam-6643	211	9	{	{	PUNCT
ejpam-6643	211	10	trucka	trucka	NOUN
ejpam-6643	211	11	,	,	PUNCT
ejpam-6643	211	12	truckb	truckb	NOUN
ejpam-6643	211	13	}	}	PUNCT
ejpam-6643	211	14	,	,	PUNCT
ejpam-6643	211	15	h2	h2	NOUN
ejpam-6643	211	16	=	=	PRON
ejpam-6643	211	17	{	{	PUNCT
ejpam-6643	211	18	truckb	truckb	PROPN
ejpam-6643	211	19	,	,	PUNCT
ejpam-6643	211	20	truckc	truckc	VERB
ejpam-6643	211	21	}	}	PUNCT
ejpam-6643	211	22	,	,	PUNCT
ejpam-6643	211	23	so	so	ADV
ejpam-6643	211	24	pows1(s0	pows1(s0	X
ejpam-6643	211	25	)	)	PUNCT
ejpam-6643	211	26	⊇	⊇	NOUN
ejpam-6643	211	27	v1	v1	NOUN
ejpam-6643	211	28	=	=	SYM
ejpam-6643	211	29	{	{	PUNCT
ejpam-6643	211	30	h1	h1	PROPN
ejpam-6643	211	31	,	,	PUNCT
ejpam-6643	211	32	h2	h2	PROPN
ejpam-6643	211	33	}	}	PUNCT
ejpam-6643	211	34	.	.	PUNCT
ejpam-6643	212	1	level	level	NOUN
ejpam-6643	212	2	2	2	NUM
ejpam-6643	212	3	(	(	PUNCT
ejpam-6643	212	4	national	national	ADJ
ejpam-6643	212	5	centers	center	NOUN
ejpam-6643	212	6	):	):	PUNCT
ejpam-6643	212	7	n1	n1	PROPN
ejpam-6643	212	8	=	=	SYM
ejpam-6643	212	9	{	{	PUNCT
ejpam-6643	212	10	h1	h1	PROPN
ejpam-6643	212	11	}	}	PUNCT
ejpam-6643	212	12	,	,	PUNCT
ejpam-6643	212	13	n2	n2	NOUN
ejpam-6643	212	14	=	=	SYM
ejpam-6643	212	15	{	{	PUNCT
ejpam-6643	212	16	h2	h2	NOUN
ejpam-6643	212	17	}	}	PUNCT
ejpam-6643	212	18	,	,	PUNCT
ejpam-6643	212	19	so	so	ADV
ejpam-6643	212	20	pows2(s0	pows2(s0	ADJ
ejpam-6643	212	21	)	)	PUNCT
ejpam-6643	212	22	⊇	⊇	NOUN
ejpam-6643	212	23	v2	v2	PROPN
ejpam-6643	212	24	=	=	SYM
ejpam-6643	212	25	{	{	PUNCT
ejpam-6643	212	26	n1	n1	NOUN
ejpam-6643	212	27	,	,	PUNCT
ejpam-6643	212	28	n2	n2	ADJ
ejpam-6643	212	29	}	}	PUNCT
ejpam-6643	212	30	.	.	PUNCT
ejpam-6643	213	1	level	level	NOUN
ejpam-6643	213	2	3	3	NUM
ejpam-6643	213	3	(	(	PUNCT
ejpam-6643	213	4	continental	continental	ADJ
ejpam-6643	213	5	divisions	division	NOUN
ejpam-6643	213	6	):	):	PUNCT
ejpam-6643	213	7	c1	c1	PROPN
ejpam-6643	213	8	=	=	PROPN
ejpam-6643	213	9	{	{	PUNCT
ejpam-6643	213	10	n1	n1	PROPN
ejpam-6643	213	11	}	}	PUNCT
ejpam-6643	213	12	,	,	PUNCT
ejpam-6643	213	13	c2	c2	PROPN
ejpam-6643	213	14	=	=	SYM
ejpam-6643	213	15	{	{	PUNCT
ejpam-6643	213	16	n2	n2	NOUN
ejpam-6643	213	17	}	}	PUNCT
ejpam-6643	213	18	,	,	PUNCT
ejpam-6643	213	19	c3	c3	PROPN
ejpam-6643	213	20	=	=	PUNCT
ejpam-6643	213	21	{	{	PUNCT
ejpam-6643	213	22	n1	n1	NOUN
ejpam-6643	213	23	,	,	PUNCT
ejpam-6643	213	24	n2	n2	ADJ
ejpam-6643	213	25	}	}	PUNCT
ejpam-6643	213	26	,	,	PUNCT
ejpam-6643	213	27	so	so	ADV
ejpam-6643	213	28	pows3(s0	pows3(s0	PROPN
ejpam-6643	213	29	)	)	PUNCT
ejpam-6643	213	30	⊇	⊇	PROPN
ejpam-6643	213	31	v3	v3	PROPN
ejpam-6643	213	32	=	=	SYM
ejpam-6643	213	33	{	{	PUNCT
ejpam-6643	213	34	c1	c1	PROPN
ejpam-6643	213	35	,	,	PUNCT
ejpam-6643	213	36	c2	c2	PROPN
ejpam-6643	213	37	,	,	PUNCT
ejpam-6643	213	38	c3	c3	PROPN
ejpam-6643	213	39	}	}	PUNCT
ejpam-6643	213	40	.	.	PUNCT
ejpam-6643	214	1	level	level	NOUN
ejpam-6643	214	2	4	4	NUM
ejpam-6643	214	3	(	(	PUNCT
ejpam-6643	214	4	global	global	ADJ
ejpam-6643	214	5	command	command	NOUN
ejpam-6643	214	6	):	):	PUNCT
ejpam-6643	214	7	g1	g1	PROPN
ejpam-6643	214	8	=	=	SYM
ejpam-6643	214	9	{	{	PUNCT
ejpam-6643	214	10	c1	c1	PROPN
ejpam-6643	214	11	,	,	PUNCT
ejpam-6643	214	12	c2	c2	PROPN
ejpam-6643	214	13	}	}	PUNCT
ejpam-6643	214	14	,	,	PUNCT
ejpam-6643	214	15	g2	g2	PROPN
ejpam-6643	214	16	=	=	PRON
ejpam-6643	214	17	{	{	PUNCT
ejpam-6643	214	18	c3	c3	NOUN
ejpam-6643	214	19	}	}	PUNCT
ejpam-6643	214	20	,	,	PUNCT
ejpam-6643	214	21	so	so	ADV
ejpam-6643	214	22	pows4(s0	pows4(s0	PROPN
ejpam-6643	214	23	)	)	PUNCT
ejpam-6643	214	24	⊇	⊇	NOUN
ejpam-6643	214	25	v4	v4	NOUN
ejpam-6643	214	26	=	=	SYM
ejpam-6643	214	27	{	{	PUNCT
ejpam-6643	214	28	g1	g1	PROPN
ejpam-6643	214	29	,	,	PUNCT
ejpam-6643	214	30	g2	g2	PROPN
ejpam-6643	214	31	}	}	PUNCT
ejpam-6643	214	32	.	.	PUNCT
ejpam-6643	215	1	directed	direct	VERB
ejpam-6643	215	2	4	4	NUM
ejpam-6643	215	3	-	-	PUNCT
ejpam-6643	215	4	superedges	superedge	NOUN
ejpam-6643	215	5	(	(	PUNCT
ejpam-6643	215	6	reporting	reporting	NOUN
ejpam-6643	215	7	channels	channel	NOUN
ejpam-6643	215	8	):	):	PUNCT
ejpam-6643	215	9	e4	e4	PROPN
ejpam-6643	215	10	=	=	SYM
ejpam-6643	215	11	{	{	PUNCT
ejpam-6643	215	12	e1	e1	NOUN
ejpam-6643	215	13	=	=	SYM
ejpam-6643	215	14	(	(	PUNCT
ejpam-6643	215	15	{	{	PUNCT
ejpam-6643	215	16	g1	g1	PROPN
ejpam-6643	215	17	}	}	PUNCT
ejpam-6643	215	18	,	,	PUNCT
ejpam-6643	215	19	{	{	PUNCT
ejpam-6643	215	20	g2	g2	PROPN
ejpam-6643	215	21	}	}	PUNCT
ejpam-6643	215	22	)	)	PUNCT
ejpam-6643	215	23	,	,	PUNCT
ejpam-6643	215	24	e2	e2	PROPN
ejpam-6643	215	25	=	=	SYM
ejpam-6643	215	26	(	(	PUNCT
ejpam-6643	215	27	{	{	PUNCT
ejpam-6643	215	28	g2	g2	PROPN
ejpam-6643	215	29	}	}	PUNCT
ejpam-6643	215	30	,	,	PUNCT
ejpam-6643	215	31	{	{	PUNCT
ejpam-6643	215	32	g1	g1	PROPN
ejpam-6643	215	33	}	}	PUNCT
ejpam-6643	215	34	)	)	PUNCT
ejpam-6643	215	35	}	}	PUNCT
ejpam-6643	215	36	.	.	PUNCT
ejpam-6643	216	1	here	here	ADV
ejpam-6643	216	2	e1	e1	NOUN
ejpam-6643	216	3	models	model	NOUN
ejpam-6643	216	4	reports	report	VERB
ejpam-6643	216	5	from	from	ADP
ejpam-6643	216	6	the	the	DET
ejpam-6643	216	7	union	union	NOUN
ejpam-6643	216	8	of	of	ADP
ejpam-6643	216	9	divisions	division	NOUN
ejpam-6643	216	10	to	to	ADP
ejpam-6643	216	11	the	the	DET
ejpam-6643	216	12	consolidated	consolidated	PROPN
ejpam-6643	216	13	command	command	NOUN
ejpam-6643	216	14	g2	g2	PROPN
ejpam-6643	216	15	,	,	PUNCT
ejpam-6643	216	16	and	and	CCONJ
ejpam-6643	216	17	e2	e2	PROPN
ejpam-6643	216	18	allows	allow	VERB
ejpam-6643	216	19	feedback	feedback	NOUN
ejpam-6643	216	20	.	.	PUNCT
ejpam-6643	217	1	t.	t.	PROPN
ejpam-6643	217	2	fujita	fujita	PROPN
ejpam-6643	217	3	,	,	PUNCT
ejpam-6643	217	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	217	5	/	/	SYM
ejpam-6643	217	6	eur	eur	PROPN
ejpam-6643	217	7	.	.	PUNCT
ejpam-6643	218	1	j.	j.	PROPN
ejpam-6643	218	2	pure	pure	PROPN
ejpam-6643	218	3	appl	appl	PROPN
ejpam-6643	218	4	.	.	PROPN
ejpam-6643	218	5	math	math	PROPN
ejpam-6643	218	6	,	,	PUNCT
ejpam-6643	218	7	18	18	NUM
ejpam-6643	218	8	(	(	PUNCT
ejpam-6643	218	9	4	4	NUM
ejpam-6643	218	10	)	)	PUNCT
ejpam-6643	218	11	(	(	PUNCT
ejpam-6643	218	12	2025	2025	NUM
ejpam-6643	218	13	)	)	PUNCT
ejpam-6643	218	14	,	,	PUNCT
ejpam-6643	218	15	6643	6643	NUM
ejpam-6643	218	16	14	14	NUM
ejpam-6643	218	17	of	of	ADP
ejpam-6643	218	18	27	27	NUM
ejpam-6643	218	19	operational	operational	ADJ
ejpam-6643	218	20	modes	mode	NOUN
ejpam-6643	218	21	(	(	PUNCT
ejpam-6643	218	22	parameters	parameter	NOUN
ejpam-6643	218	23	):	):	PUNCT
ejpam-6643	218	24	c	c	NOUN
ejpam-6643	218	25	=	=	SYM
ejpam-6643	218	26	{	{	PUNCT
ejpam-6643	218	27	standard	standard	NOUN
ejpam-6643	218	28	,	,	PUNCT
ejpam-6643	218	29	nightshift	nightshift	NOUN
ejpam-6643	218	30	,	,	PUNCT
ejpam-6643	218	31	weekend	weekend	NOUN
ejpam-6643	218	32	}	}	PUNCT
ejpam-6643	218	33	.	.	PUNCT
ejpam-6643	219	1	define	define	VERB
ejpam-6643	219	2	soft	soft	ADJ
ejpam-6643	219	3	selections	selection	NOUN
ejpam-6643	219	4	a	a	PRON
ejpam-6643	219	5	:	:	PUNCT
ejpam-6643	219	6	c	c	AUX
ejpam-6643	219	7	−→	−→	ADJ
ejpam-6643	219	8	pows(v4	pows(v4	NOUN
ejpam-6643	219	9	)	)	PUNCT
ejpam-6643	219	10	,	,	PUNCT
ejpam-6643	219	11	b	b	X
ejpam-6643	219	12	:	:	PUNCT
ejpam-6643	219	13	c	c	PROPN
ejpam-6643	219	14	−→	−→	NOUN
ejpam-6643	219	15	pows(e4	pows(e4	NOUN
ejpam-6643	219	16	)	)	PUNCT
ejpam-6643	219	17	,	,	PUNCT
ejpam-6643	219	18	by	by	ADP
ejpam-6643	219	19	a(standard	a(standard	NOUN
ejpam-6643	219	20	)	)	PUNCT
ejpam-6643	219	21	=	=	PRON
ejpam-6643	219	22	{	{	PUNCT
ejpam-6643	219	23	g1	g1	PROPN
ejpam-6643	219	24	,	,	PUNCT
ejpam-6643	219	25	g2	g2	PROPN
ejpam-6643	219	26	}	}	PUNCT
ejpam-6643	219	27	,	,	PUNCT
ejpam-6643	219	28	b(standard	b(standard	NOUN
ejpam-6643	219	29	)	)	PUNCT
ejpam-6643	219	30	=	=	SYM
ejpam-6643	219	31	{	{	PUNCT
ejpam-6643	219	32	e1	e1	PROPN
ejpam-6643	219	33	,	,	PUNCT
ejpam-6643	219	34	e2	e2	PROPN
ejpam-6643	219	35	}	}	PUNCT
ejpam-6643	219	36	,	,	PUNCT
ejpam-6643	219	37	a(nightshift	a(nightshift	NOUN
ejpam-6643	219	38	)	)	PUNCT
ejpam-6643	219	39	=	=	PRON
ejpam-6643	219	40	{	{	PUNCT
ejpam-6643	219	41	g1	g1	PROPN
ejpam-6643	219	42	}	}	PUNCT
ejpam-6643	219	43	,	,	PUNCT
ejpam-6643	219	44	b(nightshift	b(nightshift	NOUN
ejpam-6643	219	45	)	)	PUNCT
ejpam-6643	219	46	=	=	PUNCT
ejpam-6643	219	47	{	{	PUNCT
ejpam-6643	219	48	e1	e1	PROPN
ejpam-6643	219	49	}	}	PUNCT
ejpam-6643	219	50	,	,	PUNCT
ejpam-6643	219	51	a(weekend	a(weekend	ADJ
ejpam-6643	219	52	)	)	PUNCT
ejpam-6643	219	53	=	=	PRON
ejpam-6643	219	54	{	{	PUNCT
ejpam-6643	219	55	g2	g2	PROPN
ejpam-6643	219	56	}	}	PUNCT
ejpam-6643	219	57	,	,	PUNCT
ejpam-6643	219	58	b(weekend	b(weekend	NOUN
ejpam-6643	219	59	)	)	PUNCT
ejpam-6643	219	60	=	=	PRON
ejpam-6643	219	61	{	{	PUNCT
ejpam-6643	219	62	e2	e2	PROPN
ejpam-6643	219	63	}	}	PUNCT
ejpam-6643	219	64	.	.	PUNCT
ejpam-6643	220	1	•	•	NUM
ejpam-6643	220	2	standard	standard	NOUN
ejpam-6643	220	3	:	:	PUNCT
ejpam-6643	220	4	both	both	DET
ejpam-6643	220	5	global	global	ADJ
ejpam-6643	220	6	nodes	node	NOUN
ejpam-6643	220	7	active	active	ADJ
ejpam-6643	220	8	;	;	PUNCT
ejpam-6643	220	9	both	both	PRON
ejpam-6643	220	10	reporting	reporting	NOUN
ejpam-6643	220	11	and	and	CCONJ
ejpam-6643	220	12	feedback	feedback	NOUN
ejpam-6643	220	13	channels	channel	NOUN
ejpam-6643	220	14	open	open	VERB
ejpam-6643	220	15	.	.	PUNCT
ejpam-6643	221	1	•	•	NUM
ejpam-6643	221	2	nightshift	nightshift	NOUN
ejpam-6643	221	3	:	:	PUNCT
ejpam-6643	221	4	only	only	ADV
ejpam-6643	221	5	the	the	DET
ejpam-6643	221	6	primary	primary	ADJ
ejpam-6643	221	7	command	command	NOUN
ejpam-6643	221	8	node	node	PROPN
ejpam-6643	221	9	g1	g1	PROPN
ejpam-6643	221	10	operates	operate	VERB
ejpam-6643	221	11	,	,	PUNCT
ejpam-6643	221	12	sending	send	VERB
ejpam-6643	221	13	data	datum	NOUN
ejpam-6643	221	14	upward	upward	ADV
ejpam-6643	221	15	via	via	ADP
ejpam-6643	221	16	e1	e1	PROPN
ejpam-6643	221	17	.	.	PROPN
ejpam-6643	222	1	•	•	NUM
ejpam-6643	222	2	weekend	weekend	NOUN
ejpam-6643	222	3	:	:	PUNCT
ejpam-6643	222	4	only	only	ADV
ejpam-6643	222	5	the	the	DET
ejpam-6643	222	6	consolidated	consolidated	ADJ
ejpam-6643	222	7	command	command	NOUN
ejpam-6643	222	8	node	node	PROPN
ejpam-6643	222	9	g2	g2	PROPN
ejpam-6643	222	10	remains	remain	VERB
ejpam-6643	222	11	active	active	ADJ
ejpam-6643	222	12	,	,	PUNCT
ejpam-6643	222	13	issuing	issue	VERB
ejpam-6643	222	14	feedback	feedback	NOUN
ejpam-6643	222	15	via	via	ADP
ejpam-6643	222	16	e2	e2	PROPN
ejpam-6643	222	17	.	.	PUNCT
ejpam-6643	223	1	therefore	therefore	ADV
ejpam-6643	223	2	,	,	PUNCT
ejpam-6643	223	3	the	the	DET
ejpam-6643	223	4	quadruple	quadruple	NOUN
ejpam-6643	223	5	(	(	PUNCT
ejpam-6643	223	6	dsuhg(4	dsuhg(4	PROPN
ejpam-6643	223	7	)	)	PUNCT
ejpam-6643	223	8	,	,	PUNCT
ejpam-6643	223	9	c	c	X
ejpam-6643	223	10	,	,	PUNCT
ejpam-6643	223	11	a	a	DET
ejpam-6643	223	12	,	,	PUNCT
ejpam-6643	223	13	b	b	NOUN
ejpam-6643	223	14	)	)	PUNCT
ejpam-6643	223	15	is	be	AUX
ejpam-6643	223	16	a	a	DET
ejpam-6643	223	17	soft	soft	ADJ
ejpam-6643	223	18	directed	direct	VERB
ejpam-6643	223	19	4	4	NUM
ejpam-6643	223	20	-	-	PUNCT
ejpam-6643	223	21	superhypergraph	superhypergraph	NOUN
ejpam-6643	223	22	that	that	PRON
ejpam-6643	223	23	captures	capture	VERB
ejpam-6643	223	24	how	how	SCONJ
ejpam-6643	223	25	different	different	ADJ
ejpam-6643	223	26	operational	operational	ADJ
ejpam-6643	223	27	modes	mode	NOUN
ejpam-6643	223	28	select	select	VERB
ejpam-6643	223	29	which	which	PRON
ejpam-6643	223	30	global	global	ADJ
ejpam-6643	223	31	reporting	reporting	NOUN
ejpam-6643	223	32	channels	channel	NOUN
ejpam-6643	223	33	are	be	AUX
ejpam-6643	223	34	in	in	ADP
ejpam-6643	223	35	use	use	NOUN
ejpam-6643	223	36	.	.	PUNCT
ejpam-6643	224	1	theorem	theorem	ADJ
ejpam-6643	224	2	1	1	NUM
ejpam-6643	224	3	(	(	PUNCT
ejpam-6643	224	4	generalization	generalization	NOUN
ejpam-6643	224	5	of	of	ADP
ejpam-6643	224	6	directed	direct	VERB
ejpam-6643	224	7	and	and	CCONJ
ejpam-6643	224	8	soft	soft	ADJ
ejpam-6643	224	9	n	n	CCONJ
ejpam-6643	224	10	-	-	PUNCT
ejpam-6643	224	11	superhypergraphs	superhypergraph	NOUN
ejpam-6643	224	12	)	)	PUNCT
ejpam-6643	224	13	.	.	PUNCT
ejpam-6643	225	1	the	the	DET
ejpam-6643	225	2	notion	notion	NOUN
ejpam-6643	225	3	of	of	ADP
ejpam-6643	225	4	soft	soft	ADJ
ejpam-6643	225	5	directed	direct	VERB
ejpam-6643	225	6	n	n	CCONJ
ejpam-6643	225	7	-	-	PUNCT
ejpam-6643	225	8	superhypergraph	superhypergraph	NOUN
ejpam-6643	225	9	simultaneously	simultaneously	ADV
ejpam-6643	225	10	extends	extend	VERB
ejpam-6643	225	11	:	:	PUNCT
ejpam-6643	225	12	(	(	PUNCT
ejpam-6643	225	13	a	a	X
ejpam-6643	225	14	)	)	PUNCT
ejpam-6643	225	15	every	every	DET
ejpam-6643	225	16	directed	direct	VERB
ejpam-6643	225	17	n	n	CCONJ
ejpam-6643	225	18	-	-	PUNCT
ejpam-6643	225	19	superhypergraph	superhypergraph	NOUN
ejpam-6643	225	20	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	225	21	)	)	PUNCT
ejpam-6643	225	22	=	=	SYM
ejpam-6643	225	23	(	(	PUNCT
ejpam-6643	225	24	v	v	NOUN
ejpam-6643	225	25	,	,	PUNCT
ejpam-6643	225	26	e	e	NOUN
ejpam-6643	225	27	)	)	PUNCT
ejpam-6643	225	28	by	by	ADP
ejpam-6643	225	29	taking	take	VERB
ejpam-6643	225	30	a	a	DET
ejpam-6643	225	31	singleton	singleton	NOUN
ejpam-6643	225	32	parameter	parameter	NOUN
ejpam-6643	225	33	set	set	VERB
ejpam-6643	225	34	c	c	PROPN
ejpam-6643	226	1	=	=	PRON
ejpam-6643	226	2	{	{	PUNCT
ejpam-6643	226	3	∗	∗	NOUN
ejpam-6643	226	4	}	}	PUNCT
ejpam-6643	226	5	with	with	ADP
ejpam-6643	226	6	a(∗	a(∗	PUNCT
ejpam-6643	226	7	)	)	PUNCT
ejpam-6643	226	8	=	=	SYM
ejpam-6643	226	9	v	v	NOUN
ejpam-6643	226	10	and	and	CCONJ
ejpam-6643	226	11	b(∗	b(∗	NUM
ejpam-6643	226	12	)	)	PUNCT
ejpam-6643	227	1	=	=	SYM
ejpam-6643	227	2	e.	e.	PROPN
ejpam-6643	227	3	(	(	PUNCT
ejpam-6643	227	4	b	b	NOUN
ejpam-6643	227	5	)	)	PUNCT
ejpam-6643	227	6	every	every	DET
ejpam-6643	227	7	soft	soft	ADJ
ejpam-6643	227	8	n	n	CCONJ
ejpam-6643	227	9	-	-	PUNCT
ejpam-6643	227	10	superhypergraph	superhypergraph	NOUN
ejpam-6643	227	11	(	(	PUNCT
ejpam-6643	227	12	v	v	NOUN
ejpam-6643	227	13	,	,	PUNCT
ejpam-6643	227	14	e	e	NOUN
ejpam-6643	227	15	,	,	PUNCT
ejpam-6643	227	16	c	c	X
ejpam-6643	227	17	,	,	PUNCT
ejpam-6643	227	18	a	a	DET
ejpam-6643	227	19	,	,	PUNCT
ejpam-6643	227	20	b	b	NOUN
ejpam-6643	227	21	)	)	PUNCT
ejpam-6643	227	22	by	by	ADP
ejpam-6643	227	23	viewing	view	VERB
ejpam-6643	227	24	each	each	DET
ejpam-6643	227	25	undirected	undirected	ADJ
ejpam-6643	227	26	superedge	superedge	NOUN
ejpam-6643	227	27	e	e	NOUN
ejpam-6643	227	28	∈	∈	NOUN
ejpam-6643	227	29	e	e	X
ejpam-6643	227	30	as	as	ADP
ejpam-6643	227	31	a	a	DET
ejpam-6643	227	32	degenerate	degenerate	ADJ
ejpam-6643	227	33	directed	direct	VERB
ejpam-6643	227	34	edge	edge	NOUN
ejpam-6643	227	35	(	(	PUNCT
ejpam-6643	227	36	e	e	NOUN
ejpam-6643	227	37	,	,	PUNCT
ejpam-6643	227	38	e	e	NOUN
ejpam-6643	227	39	)	)	PUNCT
ejpam-6643	227	40	∈	∈	PROPN
ejpam-6643	227	41	e′	e′	NOUN
ejpam-6643	227	42	,	,	PUNCT
ejpam-6643	227	43	and	and	CCONJ
ejpam-6643	227	44	setting	set	VERB
ejpam-6643	227	45	e′	e′	NOUN
ejpam-6643	227	46	=	=	SYM
ejpam-6643	227	47	{	{	PUNCT
ejpam-6643	227	48	(	(	PUNCT
ejpam-6643	227	49	e	e	NOUN
ejpam-6643	227	50	,	,	PUNCT
ejpam-6643	227	51	e	e	NOUN
ejpam-6643	227	52	)	)	PUNCT
ejpam-6643	227	53	:	:	PUNCT
ejpam-6643	227	54	e	e	X
ejpam-6643	227	55	∈	∈	PROPN
ejpam-6643	227	56	e	e	NOUN
ejpam-6643	227	57	}	}	PUNCT
ejpam-6643	227	58	.	.	PUNCT
ejpam-6643	228	1	proof	proof	NOUN
ejpam-6643	228	2	.	.	PUNCT
ejpam-6643	229	1	(	(	PUNCT
ejpam-6643	229	2	a	a	X
ejpam-6643	229	3	)	)	PUNCT
ejpam-6643	229	4	recovering	recover	VERB
ejpam-6643	229	5	directed	direct	VERB
ejpam-6643	229	6	n	n	CCONJ
ejpam-6643	229	7	-	-	PUNCT
ejpam-6643	229	8	suhg	suhg	NOUN
ejpam-6643	229	9	.	.	PUNCT
ejpam-6643	230	1	given	give	VERB
ejpam-6643	230	2	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	230	3	)	)	PUNCT
ejpam-6643	230	4	=	=	SYM
ejpam-6643	230	5	(	(	PUNCT
ejpam-6643	230	6	v	v	NOUN
ejpam-6643	230	7	,	,	PUNCT
ejpam-6643	230	8	e	e	NOUN
ejpam-6643	230	9	)	)	PUNCT
ejpam-6643	230	10	,	,	PUNCT
ejpam-6643	230	11	set	set	VERB
ejpam-6643	230	12	c	c	X
ejpam-6643	230	13	=	=	SYM
ejpam-6643	230	14	{	{	PUNCT
ejpam-6643	230	15	∗	∗	NOUN
ejpam-6643	230	16	}	}	PUNCT
ejpam-6643	230	17	,	,	PUNCT
ejpam-6643	230	18	a(∗	a(∗	X
ejpam-6643	230	19	)	)	PUNCT
ejpam-6643	230	20	=	=	SYM
ejpam-6643	230	21	v	v	NOUN
ejpam-6643	230	22	,	,	PUNCT
ejpam-6643	230	23	and	and	CCONJ
ejpam-6643	230	24	b(∗	b(∗	NUM
ejpam-6643	230	25	)	)	PUNCT
ejpam-6643	231	1	=	=	SYM
ejpam-6643	231	2	e.	e.	PROPN
ejpam-6643	231	3	then	then	ADV
ejpam-6643	231	4	by	by	ADP
ejpam-6643	231	5	definition	definition	NOUN
ejpam-6643	231	6	each	each	DET
ejpam-6643	231	7	soft	soft	ADJ
ejpam-6643	231	8	directed	direct	VERB
ejpam-6643	231	9	sub	sub	ADJ
ejpam-6643	231	10	-	-	ADJ
ejpam-6643	231	11	n	n	CCONJ
ejpam-6643	231	12	-	-	PUNCT
ejpam-6643	231	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	231	14	at	at	ADP
ejpam-6643	231	15	∗	∗	NOUN
ejpam-6643	231	16	is	be	AUX
ejpam-6643	231	17	(	(	PUNCT
ejpam-6643	231	18	v	v	NOUN
ejpam-6643	231	19	,	,	PUNCT
ejpam-6643	231	20	e	e	NOUN
ejpam-6643	231	21	)	)	PUNCT
ejpam-6643	231	22	,	,	PUNCT
ejpam-6643	231	23	so	so	SCONJ
ejpam-6643	231	24	we	we	PRON
ejpam-6643	231	25	exactly	exactly	ADV
ejpam-6643	231	26	recover	recover	VERB
ejpam-6643	231	27	the	the	DET
ejpam-6643	231	28	original	original	ADJ
ejpam-6643	231	29	directed	direct	VERB
ejpam-6643	231	30	structure	structure	NOUN
ejpam-6643	231	31	.	.	PUNCT
ejpam-6643	232	1	(	(	PUNCT
ejpam-6643	232	2	b	b	X
ejpam-6643	232	3	)	)	PUNCT
ejpam-6643	232	4	recovering	recover	VERB
ejpam-6643	232	5	soft	soft	ADJ
ejpam-6643	232	6	n	n	CCONJ
ejpam-6643	232	7	-	-	PUNCT
ejpam-6643	232	8	suhg	suhg	NOUN
ejpam-6643	232	9	.	.	PUNCT
ejpam-6643	233	1	let	let	VERB
ejpam-6643	233	2	(	(	PUNCT
ejpam-6643	233	3	v	v	NOUN
ejpam-6643	233	4	,	,	PUNCT
ejpam-6643	233	5	e	e	NOUN
ejpam-6643	233	6	,	,	PUNCT
ejpam-6643	233	7	c	c	X
ejpam-6643	233	8	,	,	PUNCT
ejpam-6643	233	9	a	a	DET
ejpam-6643	233	10	,	,	PUNCT
ejpam-6643	233	11	b	b	NOUN
ejpam-6643	233	12	)	)	PUNCT
ejpam-6643	233	13	be	be	AUX
ejpam-6643	233	14	a	a	DET
ejpam-6643	233	15	soft	soft	ADJ
ejpam-6643	233	16	n	n	CCONJ
ejpam-6643	233	17	-	-	PUNCT
ejpam-6643	233	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	233	19	.	.	PUNCT
ejpam-6643	234	1	define	define	VERB
ejpam-6643	234	2	a	a	DET
ejpam-6643	234	3	directed	direct	VERB
ejpam-6643	234	4	n	n	CCONJ
ejpam-6643	234	5	-	-	PUNCT
ejpam-6643	234	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	234	7	dsuhg′(n	dsuhg′(n	PROPN
ejpam-6643	234	8	)	)	PUNCT
ejpam-6643	234	9	with	with	ADP
ejpam-6643	234	10	vertex	vertex	NOUN
ejpam-6643	234	11	set	set	VERB
ejpam-6643	234	12	v	v	ADP
ejpam-6643	234	13	and	and	CCONJ
ejpam-6643	234	14	directed	direct	VERB
ejpam-6643	234	15	edge	edge	NOUN
ejpam-6643	234	16	set	set	VERB
ejpam-6643	234	17	e′	e′	X
ejpam-6643	234	18	=	=	SYM
ejpam-6643	234	19	{	{	PUNCT
ejpam-6643	234	20	(	(	PUNCT
ejpam-6643	234	21	e	e	NOUN
ejpam-6643	234	22	,	,	PUNCT
ejpam-6643	234	23	e	e	NOUN
ejpam-6643	234	24	)	)	PUNCT
ejpam-6643	234	25	:	:	PUNCT
ejpam-6643	235	1	e	e	X
ejpam-6643	235	2	∈	∈	PROPN
ejpam-6643	235	3	e	e	NOUN
ejpam-6643	235	4	}	}	PUNCT
ejpam-6643	235	5	,	,	PUNCT
ejpam-6643	235	6	i.e.	i.e.	X
ejpam-6643	235	7	each	each	DET
ejpam-6643	235	8	undirected	undirected	ADJ
ejpam-6643	235	9	superedge	superedge	NOUN
ejpam-6643	235	10	is	be	AUX
ejpam-6643	235	11	treated	treat	VERB
ejpam-6643	235	12	as	as	ADP
ejpam-6643	235	13	a	a	DET
ejpam-6643	235	14	looped	loop	VERB
ejpam-6643	235	15	directed	direct	VERB
ejpam-6643	235	16	edge	edge	NOUN
ejpam-6643	235	17	.	.	PUNCT
ejpam-6643	236	1	retain	retain	VERB
ejpam-6643	236	2	the	the	DET
ejpam-6643	236	3	same	same	ADJ
ejpam-6643	236	4	parameter	parameter	NOUN
ejpam-6643	236	5	set	set	VERB
ejpam-6643	236	6	c	c	NOUN
ejpam-6643	236	7	and	and	CCONJ
ejpam-6643	236	8	mappings	mapping	NOUN
ejpam-6643	236	9	a	a	DET
ejpam-6643	236	10	,	,	PUNCT
ejpam-6643	236	11	b.	b.	PROPN
ejpam-6643	236	12	then	then	ADV
ejpam-6643	236	13	for	for	ADP
ejpam-6643	236	14	each	each	DET
ejpam-6643	236	15	c	c	NOUN
ejpam-6643	236	16	∈	∈	PROPN
ejpam-6643	236	17	c	c	X
ejpam-6643	236	18	,	,	PUNCT
ejpam-6643	236	19	b(c	b(c	NOUN
ejpam-6643	236	20	)	)	PUNCT
ejpam-6643	236	21	⊆	⊆	NUM
ejpam-6643	236	22	{	{	PUNCT
ejpam-6643	236	23	e	e	NOUN
ejpam-6643	236	24	∈	∈	PROPN
ejpam-6643	236	25	e	e	NOUN
ejpam-6643	236	26	:	:	PUNCT
ejpam-6643	236	27	e	e	NOUN
ejpam-6643	236	28	⊆	⊆	NUM
ejpam-6643	236	29	a(c	a(c	NOUN
ejpam-6643	236	30	)	)	PUNCT
ejpam-6643	236	31	}	}	PUNCT
ejpam-6643	236	32	⇐	⇐	ADJ
ejpam-6643	236	33	⇒	⇒	NOUN
ejpam-6643	236	34	{	{	PUNCT
ejpam-6643	236	35	(	(	PUNCT
ejpam-6643	236	36	e	e	NOUN
ejpam-6643	236	37	,	,	PUNCT
ejpam-6643	236	38	e	e	NOUN
ejpam-6643	236	39	)	)	PUNCT
ejpam-6643	236	40	:	:	PUNCT
ejpam-6643	236	41	e	e	PROPN
ejpam-6643	236	42	∈	∈	PROPN
ejpam-6643	236	43	b(c	b(c	PROPN
ejpam-6643	236	44	)	)	PUNCT
ejpam-6643	236	45	}	}	PUNCT
ejpam-6643	236	46	⊆	⊆	NUM
ejpam-6643	236	47	{	{	PUNCT
ejpam-6643	236	48	(	(	PUNCT
ejpam-6643	236	49	e	e	NOUN
ejpam-6643	236	50	,	,	PUNCT
ejpam-6643	236	51	e	e	NOUN
ejpam-6643	236	52	)	)	PUNCT
ejpam-6643	236	53	∈	∈	PROPN
ejpam-6643	236	54	e′	e′	NOUN
ejpam-6643	236	55	:	:	PUNCT
ejpam-6643	237	1	e	e	X
ejpam-6643	237	2	⊆	⊆	X
ejpam-6643	237	3	a(c	a(c	NOUN
ejpam-6643	237	4	)	)	PUNCT
ejpam-6643	237	5	}	}	PUNCT
ejpam-6643	237	6	,	,	PUNCT
ejpam-6643	237	7	t.	t.	PROPN
ejpam-6643	237	8	fujita	fujita	PROPN
ejpam-6643	237	9	,	,	PUNCT
ejpam-6643	237	10	f.smarandache	f.smarandache	NOUN
ejpam-6643	237	11	/	/	SYM
ejpam-6643	237	12	eur	eur	PROPN
ejpam-6643	237	13	.	.	PUNCT
ejpam-6643	238	1	j.	j.	PROPN
ejpam-6643	238	2	pure	pure	PROPN
ejpam-6643	238	3	appl	appl	PROPN
ejpam-6643	238	4	.	.	PROPN
ejpam-6643	238	5	math	math	PROPN
ejpam-6643	238	6	,	,	PUNCT
ejpam-6643	238	7	18	18	NUM
ejpam-6643	238	8	(	(	PUNCT
ejpam-6643	238	9	4	4	NUM
ejpam-6643	238	10	)	)	PUNCT
ejpam-6643	238	11	(	(	PUNCT
ejpam-6643	238	12	2025	2025	NUM
ejpam-6643	238	13	)	)	PUNCT
ejpam-6643	238	14	,	,	PUNCT
ejpam-6643	238	15	6643	6643	NUM
ejpam-6643	238	16	15	15	NUM
ejpam-6643	238	17	of	of	ADP
ejpam-6643	238	18	27	27	NUM
ejpam-6643	238	19	so	so	ADV
ejpam-6643	238	20	(	(	PUNCT
ejpam-6643	238	21	a(c	a(c	PROPN
ejpam-6643	238	22	)	)	PUNCT
ejpam-6643	238	23	,	,	PUNCT
ejpam-6643	238	24	b(c	b(c	NOUN
ejpam-6643	238	25	)	)	PUNCT
ejpam-6643	238	26	)	)	PUNCT
ejpam-6643	238	27	coincides	coincide	VERB
ejpam-6643	238	28	with	with	ADP
ejpam-6643	238	29	the	the	DET
ejpam-6643	238	30	soft	soft	ADJ
ejpam-6643	238	31	directed	direct	VERB
ejpam-6643	238	32	substructure	substructure	NOUN
ejpam-6643	238	33	at	at	ADP
ejpam-6643	238	34	c.	c.	NOUN
ejpam-6643	238	35	hence	hence	ADV
ejpam-6643	238	36	the	the	DET
ejpam-6643	238	37	soft	soft	ADJ
ejpam-6643	238	38	directed	direct	VERB
ejpam-6643	238	39	n	n	CCONJ
ejpam-6643	238	40	-	-	PUNCT
ejpam-6643	238	41	superhypergraph	superhypergraph	NOUN
ejpam-6643	238	42	reduces	reduce	VERB
ejpam-6643	238	43	to	to	ADP
ejpam-6643	238	44	the	the	DET
ejpam-6643	238	45	original	original	ADJ
ejpam-6643	238	46	soft	soft	ADJ
ejpam-6643	238	47	n	n	CCONJ
ejpam-6643	238	48	-	-	PUNCT
ejpam-6643	238	49	superhypergraph	superhypergraph	NOUN
ejpam-6643	238	50	when	when	SCONJ
ejpam-6643	238	51	all	all	DET
ejpam-6643	238	52	edges	edge	NOUN
ejpam-6643	238	53	are	be	AUX
ejpam-6643	238	54	looped	loop	VERB
ejpam-6643	238	55	.	.	PUNCT
ejpam-6643	239	1	theorem	theorem	NOUN
ejpam-6643	239	2	2	2	NUM
ejpam-6643	239	3	.	.	PUNCT
ejpam-6643	240	1	let	let	AUX
ejpam-6643	240	2	(	(	PUNCT
ejpam-6643	240	3	∆∗	∆∗	VERB
ejpam-6643	240	4	,	,	PUNCT
ejpam-6643	240	5	c	c	X
ejpam-6643	240	6	,	,	PUNCT
ejpam-6643	240	7	r	r	NOUN
ejpam-6643	240	8	,	,	PUNCT
ejpam-6643	240	9	s	s	AUX
ejpam-6643	240	10	)	)	PUNCT
ejpam-6643	240	11	be	be	AUX
ejpam-6643	240	12	a	a	DET
ejpam-6643	240	13	soft	soft	ADJ
ejpam-6643	240	14	directed	direct	VERB
ejpam-6643	240	15	hypergraph	hypergraph	NOUN
ejpam-6643	240	16	on	on	ADP
ejpam-6643	240	17	a	a	DET
ejpam-6643	240	18	simple	simple	ADJ
ejpam-6643	240	19	directed	direct	VERB
ejpam-6643	240	20	hypergraph	hypergraph	NOUN
ejpam-6643	240	21	∆∗	∆∗	NOUN
ejpam-6643	240	22	=	=	PUNCT
ejpam-6643	240	23	(	(	PUNCT
ejpam-6643	240	24	γ	γ	X
ejpam-6643	240	25	,	,	PUNCT
ejpam-6643	240	26	ξ	ξ	NOUN
ejpam-6643	240	27	)	)	PUNCT
ejpam-6643	240	28	,	,	PUNCT
ejpam-6643	240	29	with	with	SCONJ
ejpam-6643	240	30	r	r	NOUN
ejpam-6643	240	31	:	:	PUNCT
ejpam-6643	240	32	c	c	PROPN
ejpam-6643	240	33	→	→	SYM
ejpam-6643	240	34	pows(γ	pows(γ	PROPN
ejpam-6643	240	35	)	)	PUNCT
ejpam-6643	240	36	,	,	PUNCT
ejpam-6643	240	37	s	s	VERB
ejpam-6643	240	38	:	:	PUNCT
ejpam-6643	240	39	c	c	NOUN
ejpam-6643	240	40	→	→	SYM
ejpam-6643	240	41	pows(ξ	pows(ξ	PROPN
ejpam-6643	240	42	)	)	PUNCT
ejpam-6643	240	43	.	.	PUNCT
ejpam-6643	241	1	define	define	VERB
ejpam-6643	241	2	n	n	NOUN
ejpam-6643	241	3	=	=	SYM
ejpam-6643	241	4	1	1	NUM
ejpam-6643	241	5	and	and	CCONJ
ejpam-6643	241	6	form	form	VERB
ejpam-6643	241	7	the	the	DET
ejpam-6643	241	8	directed	direct	VERB
ejpam-6643	241	9	1	1	NUM
ejpam-6643	241	10	-	-	PUNCT
ejpam-6643	241	11	superhypergraph	superhypergraph	NOUN
ejpam-6643	241	12	dsuhg(1	dsuhg(1	NOUN
ejpam-6643	241	13	)	)	PUNCT
ejpam-6643	242	1	=	=	PRON
ejpam-6643	242	2	(	(	PUNCT
ejpam-6643	242	3	v	v	NOUN
ejpam-6643	242	4	,	,	PUNCT
ejpam-6643	242	5	e	e	NOUN
ejpam-6643	242	6	)	)	PUNCT
ejpam-6643	242	7	by	by	ADP
ejpam-6643	242	8	v	v	NOUN
ejpam-6643	242	9	=	=	SYM
ejpam-6643	242	10	{	{	PUNCT
ejpam-6643	242	11	{	{	PUNCT
ejpam-6643	242	12	v	v	NOUN
ejpam-6643	242	13	}	}	PUNCT
ejpam-6643	242	14	:	:	PUNCT
ejpam-6643	242	15	v	v	NUM
ejpam-6643	242	16	∈	∈	PROPN
ejpam-6643	242	17	γ	γ	X
ejpam-6643	242	18	}	}	PUNCT
ejpam-6643	242	19	⊆	⊆	NUM
ejpam-6643	242	20	pows1(γ	pows1(γ	NOUN
ejpam-6643	242	21	)	)	PUNCT
ejpam-6643	242	22	,	,	PUNCT
ejpam-6643	243	1	e	e	X
ejpam-6643	243	2	=	=	PRON
ejpam-6643	243	3	{	{	PUNCT
ejpam-6643	243	4	(	(	PUNCT
ejpam-6643	243	5	{	{	PUNCT
ejpam-6643	243	6	t	t	X
ejpam-6643	243	7	(	(	PUNCT
ejpam-6643	243	8	e	e	NOUN
ejpam-6643	243	9	)	)	PUNCT
ejpam-6643	243	10	}	}	PUNCT
ejpam-6643	243	11	,	,	PUNCT
ejpam-6643	243	12	{	{	PUNCT
ejpam-6643	243	13	h(e	h(e	PROPN
ejpam-6643	243	14	)	)	PUNCT
ejpam-6643	243	15	}	}	PUNCT
ejpam-6643	243	16	)	)	PUNCT
ejpam-6643	243	17	:	:	PUNCT
ejpam-6643	243	18	e	e	X
ejpam-6643	243	19	=	=	SYM
ejpam-6643	243	20	(	(	PUNCT
ejpam-6643	243	21	t	t	PROPN
ejpam-6643	243	22	(	(	PUNCT
ejpam-6643	243	23	e	e	NOUN
ejpam-6643	243	24	)	)	PUNCT
ejpam-6643	243	25	,	,	PUNCT
ejpam-6643	243	26	h(e	h(e	PROPN
ejpam-6643	243	27	)	)	PUNCT
ejpam-6643	243	28	)	)	PUNCT
ejpam-6643	243	29	∈	∈	PROPN
ejpam-6643	243	30	ξ	ξ	PROPN
ejpam-6643	243	31	}	}	PUNCT
ejpam-6643	243	32	,	,	PUNCT
ejpam-6643	243	33	where	where	SCONJ
ejpam-6643	243	34	each	each	DET
ejpam-6643	243	35	original	original	ADJ
ejpam-6643	243	36	hyperarc	hyperarc	ADJ
ejpam-6643	243	37	e	e	NOUN
ejpam-6643	243	38	becomes	become	VERB
ejpam-6643	243	39	a	a	DET
ejpam-6643	243	40	directed	direct	VERB
ejpam-6643	243	41	1	1	NUM
ejpam-6643	243	42	-	-	PUNCT
ejpam-6643	243	43	superedge	superedge	NOUN
ejpam-6643	243	44	between	between	ADP
ejpam-6643	243	45	the	the	DET
ejpam-6643	243	46	singleton	singleton	NOUN
ejpam-6643	243	47	sets	set	NOUN
ejpam-6643	243	48	of	of	ADP
ejpam-6643	243	49	its	its	PRON
ejpam-6643	243	50	tail	tail	NOUN
ejpam-6643	243	51	and	and	CCONJ
ejpam-6643	243	52	head	head	NOUN
ejpam-6643	243	53	.	.	PUNCT
ejpam-6643	244	1	then	then	ADV
ejpam-6643	244	2	the	the	DET
ejpam-6643	244	3	maps	map	NOUN
ejpam-6643	244	4	a	a	X
ejpam-6643	244	5	:	:	PUNCT
ejpam-6643	244	6	c	c	NOUN
ejpam-6643	244	7	−→	−→	NOUN
ejpam-6643	244	8	pows(v	pows(v	NOUN
ejpam-6643	244	9	)	)	PUNCT
ejpam-6643	244	10	,	,	PUNCT
ejpam-6643	244	11	a(c	a(c	PROPN
ejpam-6643	244	12	)	)	PUNCT
ejpam-6643	244	13	=	=	PRON
ejpam-6643	244	14	{	{	PUNCT
ejpam-6643	244	15	{	{	PUNCT
ejpam-6643	244	16	v	v	NOUN
ejpam-6643	244	17	}	}	PUNCT
ejpam-6643	244	18	:	:	PUNCT
ejpam-6643	244	19	v	v	NUM
ejpam-6643	244	20	∈	∈	NOUN
ejpam-6643	244	21	r(c	r(c	NUM
ejpam-6643	244	22	)	)	PUNCT
ejpam-6643	244	23	}	}	PUNCT
ejpam-6643	244	24	,	,	PUNCT
ejpam-6643	244	25	b	b	X
ejpam-6643	244	26	:	:	PUNCT
ejpam-6643	244	27	c	c	X
ejpam-6643	244	28	−→	−→	NOUN
ejpam-6643	244	29	pows(e	pows(e	PROPN
ejpam-6643	244	30	)	)	PUNCT
ejpam-6643	244	31	,	,	PUNCT
ejpam-6643	244	32	b(c	b(c	NOUN
ejpam-6643	244	33	)	)	PUNCT
ejpam-6643	244	34	=	=	PRON
ejpam-6643	244	35	{	{	PUNCT
ejpam-6643	244	36	(	(	PUNCT
ejpam-6643	244	37	{	{	PUNCT
ejpam-6643	244	38	t	t	X
ejpam-6643	244	39	(	(	PUNCT
ejpam-6643	244	40	e	e	NOUN
ejpam-6643	244	41	)	)	PUNCT
ejpam-6643	244	42	}	}	PUNCT
ejpam-6643	244	43	,	,	PUNCT
ejpam-6643	244	44	{	{	PUNCT
ejpam-6643	244	45	h(e	h(e	PROPN
ejpam-6643	244	46	)	)	PUNCT
ejpam-6643	244	47	}	}	PUNCT
ejpam-6643	244	48	)	)	PUNCT
ejpam-6643	244	49	:	:	PUNCT
ejpam-6643	245	1	e	e	X
ejpam-6643	245	2	∈	∈	PROPN
ejpam-6643	245	3	s(c	s(c	PROPN
ejpam-6643	245	4	)	)	PUNCT
ejpam-6643	245	5	}	}	PUNCT
ejpam-6643	245	6	turn	turn	VERB
ejpam-6643	245	7	(	(	PUNCT
ejpam-6643	245	8	dsuhg(1	dsuhg(1	NOUN
ejpam-6643	245	9	)	)	PUNCT
ejpam-6643	245	10	,	,	PUNCT
ejpam-6643	246	1	c	c	X
ejpam-6643	246	2	,	,	PUNCT
ejpam-6643	246	3	a	a	DET
ejpam-6643	246	4	,	,	PUNCT
ejpam-6643	246	5	b	b	NOUN
ejpam-6643	246	6	)	)	PUNCT
ejpam-6643	246	7	into	into	ADP
ejpam-6643	246	8	a	a	DET
ejpam-6643	246	9	soft	soft	ADJ
ejpam-6643	246	10	directed	direct	VERB
ejpam-6643	246	11	1	1	NUM
ejpam-6643	246	12	-	-	PUNCT
ejpam-6643	246	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	246	14	that	that	PRON
ejpam-6643	246	15	is	be	AUX
ejpam-6643	246	16	isomorphic	isomorphic	ADJ
ejpam-6643	246	17	to	to	ADP
ejpam-6643	246	18	the	the	DET
ejpam-6643	246	19	original	original	ADJ
ejpam-6643	246	20	soft	soft	ADJ
ejpam-6643	246	21	directed	direct	VERB
ejpam-6643	246	22	hypergraph	hypergraph	NOUN
ejpam-6643	246	23	(	(	PUNCT
ejpam-6643	246	24	∆∗	∆∗	NOUN
ejpam-6643	246	25	,	,	PUNCT
ejpam-6643	246	26	c	c	NOUN
ejpam-6643	246	27	,	,	PUNCT
ejpam-6643	246	28	r	r	NOUN
ejpam-6643	246	29	,	,	PUNCT
ejpam-6643	246	30	s	s	PART
ejpam-6643	246	31	)	)	PUNCT
ejpam-6643	246	32	.	.	PUNCT
ejpam-6643	247	1	proof	proof	NOUN
ejpam-6643	247	2	.	.	PUNCT
ejpam-6643	248	1	we	we	PRON
ejpam-6643	248	2	verify	verify	VERB
ejpam-6643	248	3	each	each	DET
ejpam-6643	248	4	requirement	requirement	NOUN
ejpam-6643	248	5	in	in	ADP
ejpam-6643	248	6	turn	turn	NOUN
ejpam-6643	248	7	.	.	PUNCT
ejpam-6643	249	1	1	1	X
ejpam-6643	249	2	.	.	X
ejpam-6643	249	3	construction	construction	NOUN
ejpam-6643	249	4	of	of	ADP
ejpam-6643	249	5	dsuhg(1	dsuhg(1	NOUN
ejpam-6643	249	6	)	)	PUNCT
ejpam-6643	249	7	.	.	PUNCT
ejpam-6643	250	1	since	since	SCONJ
ejpam-6643	250	2	pows1(γ	pows1(γ	NOUN
ejpam-6643	250	3	)	)	PUNCT
ejpam-6643	250	4	=	=	SYM
ejpam-6643	250	5	pows(γ	pows(γ	NOUN
ejpam-6643	250	6	)	)	PUNCT
ejpam-6643	250	7	,	,	PUNCT
ejpam-6643	250	8	the	the	DET
ejpam-6643	250	9	set	set	NOUN
ejpam-6643	250	10	of	of	ADP
ejpam-6643	250	11	all	all	DET
ejpam-6643	250	12	singleton	singleton	PROPN
ejpam-6643	250	13	subsets	subset	NOUN
ejpam-6643	250	14	{	{	PUNCT
ejpam-6643	250	15	{	{	PUNCT
ejpam-6643	250	16	v	v	NOUN
ejpam-6643	250	17	}	}	PUNCT
ejpam-6643	250	18	:	:	PUNCT
ejpam-6643	250	19	v	v	X
ejpam-6643	250	20	∈	∈	PROPN
ejpam-6643	250	21	γ	γ	X
ejpam-6643	250	22	}	}	PUNCT
ejpam-6643	250	23	is	be	AUX
ejpam-6643	250	24	a	a	DET
ejpam-6643	250	25	valid	valid	ADJ
ejpam-6643	250	26	choice	choice	NOUN
ejpam-6643	250	27	for	for	ADP
ejpam-6643	250	28	v	v	NOUN
ejpam-6643	250	29	.	.	PUNCT
ejpam-6643	251	1	each	each	DET
ejpam-6643	251	2	hyperarc	hyperarc	ADJ
ejpam-6643	251	3	e	e	NOUN
ejpam-6643	251	4	=	=	SYM
ejpam-6643	251	5	(	(	PUNCT
ejpam-6643	251	6	t	t	PROPN
ejpam-6643	251	7	(	(	PUNCT
ejpam-6643	251	8	e	e	NOUN
ejpam-6643	251	9	)	)	PUNCT
ejpam-6643	251	10	,	,	PUNCT
ejpam-6643	251	11	h(e	h(e	PROPN
ejpam-6643	251	12	)	)	PUNCT
ejpam-6643	251	13	)	)	PUNCT
ejpam-6643	252	1	∈	∈	PROPN
ejpam-6643	252	2	ξ	ξ	X
ejpam-6643	252	3	becomes	become	VERB
ejpam-6643	252	4	a	a	DET
ejpam-6643	252	5	directed	direct	VERB
ejpam-6643	252	6	1	1	NUM
ejpam-6643	252	7	-	-	PUNCT
ejpam-6643	252	8	superedge	superedge	NOUN
ejpam-6643	252	9	(	(	PUNCT
ejpam-6643	252	10	{	{	PUNCT
ejpam-6643	252	11	t	t	X
ejpam-6643	252	12	(	(	PUNCT
ejpam-6643	252	13	e	e	NOUN
ejpam-6643	252	14	)	)	PUNCT
ejpam-6643	252	15	}	}	PUNCT
ejpam-6643	252	16	,	,	PUNCT
ejpam-6643	252	17	{	{	PUNCT
ejpam-6643	252	18	h(e	h(e	PROPN
ejpam-6643	252	19	)	)	PUNCT
ejpam-6643	252	20	}	}	PUNCT
ejpam-6643	252	21	)	)	PUNCT
ejpam-6643	252	22	in	in	ADP
ejpam-6643	252	23	e	e	PROPN
ejpam-6643	252	24	⊆	⊆	NUM
ejpam-6643	252	25	pows1(γ)×pows1(γ	pows1(γ)×pows1(γ	NOUN
ejpam-6643	252	26	)	)	PUNCT
ejpam-6643	252	27	.	.	PUNCT
ejpam-6643	253	1	by	by	ADP
ejpam-6643	253	2	simplicity	simplicity	NOUN
ejpam-6643	253	3	of	of	ADP
ejpam-6643	253	4	∆∗	∆∗	NOUN
ejpam-6643	253	5	,	,	PUNCT
ejpam-6643	253	6	no	no	DET
ejpam-6643	253	7	two	two	NUM
ejpam-6643	253	8	hyperarcs	hyperarcs	NOUN
ejpam-6643	253	9	share	share	VERB
ejpam-6643	253	10	both	both	CCONJ
ejpam-6643	253	11	the	the	DET
ejpam-6643	253	12	same	same	ADJ
ejpam-6643	253	13	tail	tail	NOUN
ejpam-6643	253	14	and	and	CCONJ
ejpam-6643	253	15	head	head	NOUN
ejpam-6643	253	16	,	,	PUNCT
ejpam-6643	253	17	so	so	CCONJ
ejpam-6643	253	18	no	no	DET
ejpam-6643	253	19	parallel	parallel	ADJ
ejpam-6643	253	20	superedges	superedge	NOUN
ejpam-6643	253	21	occur	occur	VERB
ejpam-6643	253	22	.	.	PUNCT
ejpam-6643	254	1	2	2	X
ejpam-6643	254	2	.	.	X
ejpam-6643	254	3	definition	definition	NOUN
ejpam-6643	254	4	of	of	ADP
ejpam-6643	254	5	soft	soft	ADJ
ejpam-6643	254	6	selections	selection	NOUN
ejpam-6643	254	7	.	.	PUNCT
ejpam-6643	255	1	for	for	ADP
ejpam-6643	255	2	each	each	DET
ejpam-6643	255	3	parameter	parameter	NOUN
ejpam-6643	255	4	c	c	PROPN
ejpam-6643	255	5	∈	∈	PROPN
ejpam-6643	255	6	c	c	NOUN
ejpam-6643	255	7	,	,	PUNCT
ejpam-6643	255	8	set	set	VERB
ejpam-6643	255	9	a(c	a(c	NOUN
ejpam-6643	255	10	)	)	PUNCT
ejpam-6643	255	11	=	=	PRON
ejpam-6643	255	12	{	{	PUNCT
ejpam-6643	255	13	{	{	PUNCT
ejpam-6643	255	14	v	v	NOUN
ejpam-6643	255	15	}	}	PUNCT
ejpam-6643	255	16	:	:	PUNCT
ejpam-6643	255	17	v	v	NUM
ejpam-6643	255	18	∈	∈	NOUN
ejpam-6643	255	19	r(c	r(c	NUM
ejpam-6643	255	20	)	)	PUNCT
ejpam-6643	255	21	}	}	PUNCT
ejpam-6643	255	22	⊆	⊆	NUM
ejpam-6643	255	23	v	v	NOUN
ejpam-6643	255	24	,	,	PUNCT
ejpam-6643	255	25	b(c	b(c	NOUN
ejpam-6643	255	26	)	)	PUNCT
ejpam-6643	255	27	=	=	PRON
ejpam-6643	255	28	{	{	PUNCT
ejpam-6643	255	29	(	(	PUNCT
ejpam-6643	255	30	{	{	PUNCT
ejpam-6643	255	31	t	t	X
ejpam-6643	255	32	(	(	PUNCT
ejpam-6643	255	33	e	e	NOUN
ejpam-6643	255	34	)	)	PUNCT
ejpam-6643	255	35	}	}	PUNCT
ejpam-6643	255	36	,	,	PUNCT
ejpam-6643	255	37	{	{	PUNCT
ejpam-6643	255	38	h(e	h(e	PROPN
ejpam-6643	255	39	)	)	PUNCT
ejpam-6643	255	40	}	}	PUNCT
ejpam-6643	255	41	)	)	PUNCT
ejpam-6643	255	42	:	:	PUNCT
ejpam-6643	255	43	e	e	X
ejpam-6643	255	44	∈	∈	PROPN
ejpam-6643	255	45	s(c	s(c	PROPN
ejpam-6643	255	46	)	)	PUNCT
ejpam-6643	255	47	}	}	PUNCT
ejpam-6643	255	48	⊆	⊆	NUM
ejpam-6643	255	49	e.	e.	PROPN
ejpam-6643	255	50	because	because	SCONJ
ejpam-6643	255	51	s(c	s(c	PROPN
ejpam-6643	255	52	)	)	PUNCT
ejpam-6643	255	53	⊆	⊆	NUM
ejpam-6643	255	54	ξ	ξ	X
ejpam-6643	255	55	and	and	CCONJ
ejpam-6643	255	56	r(c	r(c	ADJ
ejpam-6643	255	57	)	)	PUNCT
ejpam-6643	255	58	⊆	⊆	NUM
ejpam-6643	255	59	γ	γ	X
ejpam-6643	255	60	,	,	PUNCT
ejpam-6643	255	61	these	these	DET
ejpam-6643	255	62	indeed	indeed	ADV
ejpam-6643	255	63	select	select	ADJ
ejpam-6643	255	64	subsets	subset	NOUN
ejpam-6643	255	65	of	of	ADP
ejpam-6643	255	66	v	v	NOUN
ejpam-6643	255	67	and	and	CCONJ
ejpam-6643	255	68	e.	e.	PROPN
ejpam-6643	255	69	3	3	PROPN
ejpam-6643	255	70	.	.	PUNCT
ejpam-6643	255	71	validity	validity	NOUN
ejpam-6643	255	72	of	of	ADP
ejpam-6643	255	73	the	the	DET
ejpam-6643	255	74	induced	induced	ADJ
ejpam-6643	255	75	substructure	substructure	NOUN
ejpam-6643	255	76	.	.	PUNCT
ejpam-6643	256	1	by	by	ADP
ejpam-6643	256	2	the	the	DET
ejpam-6643	256	3	soft	soft	ADJ
ejpam-6643	256	4	directed	direct	VERB
ejpam-6643	256	5	hypergraph	hypergraph	NOUN
ejpam-6643	256	6	definition	definition	NOUN
ejpam-6643	256	7	,	,	PUNCT
ejpam-6643	256	8	every	every	DET
ejpam-6643	256	9	hyperarc	hyperarc	ADJ
ejpam-6643	256	10	e	e	PROPN
ejpam-6643	256	11	∈	∈	PROPN
ejpam-6643	256	12	s(c	s(c	PROPN
ejpam-6643	256	13	)	)	PUNCT
ejpam-6643	256	14	has	have	VERB
ejpam-6643	256	15	t	t	PROPN
ejpam-6643	256	16	(	(	PUNCT
ejpam-6643	256	17	e	e	NOUN
ejpam-6643	256	18	)	)	PUNCT
ejpam-6643	256	19	⊆	⊆	NUM
ejpam-6643	256	20	r(c	r(c	ADJ
ejpam-6643	256	21	)	)	PUNCT
ejpam-6643	256	22	and	and	CCONJ
ejpam-6643	256	23	h(e	h(e	PROPN
ejpam-6643	256	24	)	)	PUNCT
ejpam-6643	256	25	⊆	⊆	NUM
ejpam-6643	256	26	r(c	r(c	NUM
ejpam-6643	256	27	)	)	PUNCT
ejpam-6643	256	28	.	.	PUNCT
ejpam-6643	257	1	therefore	therefore	ADV
ejpam-6643	257	2	{	{	PUNCT
ejpam-6643	257	3	t	t	PROPN
ejpam-6643	257	4	(	(	PUNCT
ejpam-6643	257	5	e	e	NOUN
ejpam-6643	257	6	)	)	PUNCT
ejpam-6643	257	7	}	}	PUNCT
ejpam-6643	257	8	⊆	⊆	NUM
ejpam-6643	257	9	{	{	PUNCT
ejpam-6643	257	10	{	{	PUNCT
ejpam-6643	257	11	v	v	NOUN
ejpam-6643	257	12	}	}	PUNCT
ejpam-6643	257	13	:	:	PUNCT
ejpam-6643	257	14	v	v	NUM
ejpam-6643	257	15	∈	∈	NOUN
ejpam-6643	257	16	r(c	r(c	NUM
ejpam-6643	257	17	)	)	PUNCT
ejpam-6643	257	18	}	}	PUNCT
ejpam-6643	257	19	=	=	SYM
ejpam-6643	257	20	a(c	a(c	PROPN
ejpam-6643	257	21	)	)	PUNCT
ejpam-6643	257	22	,	,	PUNCT
ejpam-6643	257	23	{	{	PUNCT
ejpam-6643	257	24	h(e	h(e	NOUN
ejpam-6643	257	25	)	)	PUNCT
ejpam-6643	257	26	}	}	PUNCT
ejpam-6643	257	27	⊆	⊆	NUM
ejpam-6643	257	28	a(c	a(c	NOUN
ejpam-6643	257	29	)	)	PUNCT
ejpam-6643	257	30	,	,	PUNCT
ejpam-6643	257	31	so	so	ADV
ejpam-6643	257	32	each	each	PRON
ejpam-6643	257	33	directed	direct	VERB
ejpam-6643	257	34	1	1	NUM
ejpam-6643	257	35	-	-	PUNCT
ejpam-6643	257	36	superedge	superedge	NOUN
ejpam-6643	257	37	(	(	PUNCT
ejpam-6643	257	38	{	{	PUNCT
ejpam-6643	257	39	t	t	X
ejpam-6643	257	40	(	(	PUNCT
ejpam-6643	257	41	e	e	NOUN
ejpam-6643	257	42	)	)	PUNCT
ejpam-6643	257	43	}	}	PUNCT
ejpam-6643	257	44	,	,	PUNCT
ejpam-6643	257	45	{	{	PUNCT
ejpam-6643	257	46	h(e	h(e	PROPN
ejpam-6643	257	47	)	)	PUNCT
ejpam-6643	257	48	}	}	PUNCT
ejpam-6643	257	49	)	)	PUNCT
ejpam-6643	257	50	lies	lie	VERB
ejpam-6643	257	51	in	in	ADP
ejpam-6643	257	52	{	{	PUNCT
ejpam-6643	257	53	(	(	PUNCT
ejpam-6643	257	54	τ	τ	PROPN
ejpam-6643	257	55	,	,	PUNCT
ejpam-6643	257	56	h	h	NOUN
ejpam-6643	257	57	)	)	PUNCT
ejpam-6643	257	58	∈	∈	PROPN
ejpam-6643	257	59	e	e	NOUN
ejpam-6643	257	60	:	:	PUNCT
ejpam-6643	257	61	τ	τ	PROPN
ejpam-6643	257	62	,	,	PUNCT
ejpam-6643	257	63	h	h	NOUN
ejpam-6643	257	64	⊆	⊆	NUM
ejpam-6643	257	65	a(c	a(c	NOUN
ejpam-6643	257	66	)	)	PUNCT
ejpam-6643	257	67	}	}	PUNCT
ejpam-6643	257	68	.	.	PUNCT
ejpam-6643	258	1	thus	thus	ADV
ejpam-6643	258	2	(	(	PUNCT
ejpam-6643	258	3	a(c	a(c	NOUN
ejpam-6643	258	4	)	)	PUNCT
ejpam-6643	258	5	,	,	PUNCT
ejpam-6643	258	6	b(c	b(c	NOUN
ejpam-6643	258	7	)	)	PUNCT
ejpam-6643	258	8	)	)	PUNCT
ejpam-6643	258	9	is	be	AUX
ejpam-6643	258	10	a	a	DET
ejpam-6643	258	11	valid	valid	ADJ
ejpam-6643	258	12	soft	soft	ADJ
ejpam-6643	258	13	directed	direct	VERB
ejpam-6643	258	14	1	1	NUM
ejpam-6643	258	15	-	-	PUNCT
ejpam-6643	258	16	superhypergraph	superhypergraph	NOUN
ejpam-6643	258	17	substructure	substructure	NOUN
ejpam-6643	258	18	.	.	PUNCT
ejpam-6643	259	1	4	4	X
ejpam-6643	259	2	.	.	X
ejpam-6643	259	3	isomorphism	isomorphism	NOUN
ejpam-6643	259	4	with	with	ADP
ejpam-6643	259	5	the	the	DET
ejpam-6643	259	6	original	original	NOUN
ejpam-6643	259	7	.	.	PUNCT
ejpam-6643	260	1	define	define	VERB
ejpam-6643	260	2	φv	φv	X
ejpam-6643	260	3	:	:	PUNCT
ejpam-6643	260	4	γ	γ	PROPN
ejpam-6643	260	5	−→	−→	NOUN
ejpam-6643	260	6	v	v	NOUN
ejpam-6643	260	7	,	,	PUNCT
ejpam-6643	260	8	φv	φv	ADP
ejpam-6643	260	9	(	(	PUNCT
ejpam-6643	260	10	v	v	NOUN
ejpam-6643	260	11	)	)	PUNCT
ejpam-6643	260	12	=	=	SYM
ejpam-6643	260	13	{	{	PUNCT
ejpam-6643	260	14	v	v	NOUN
ejpam-6643	260	15	}	}	PUNCT
ejpam-6643	260	16	,	,	PUNCT
ejpam-6643	260	17	t.	t.	PROPN
ejpam-6643	260	18	fujita	fujita	PROPN
ejpam-6643	260	19	,	,	PUNCT
ejpam-6643	260	20	f.smarandache	f.smarandache	NOUN
ejpam-6643	260	21	/	/	SYM
ejpam-6643	260	22	eur	eur	PROPN
ejpam-6643	260	23	.	.	PUNCT
ejpam-6643	261	1	j.	j.	PROPN
ejpam-6643	261	2	pure	pure	PROPN
ejpam-6643	261	3	appl	appl	PROPN
ejpam-6643	261	4	.	.	PROPN
ejpam-6643	261	5	math	math	PROPN
ejpam-6643	261	6	,	,	PUNCT
ejpam-6643	261	7	18	18	NUM
ejpam-6643	261	8	(	(	PUNCT
ejpam-6643	261	9	4	4	NUM
ejpam-6643	261	10	)	)	PUNCT
ejpam-6643	261	11	(	(	PUNCT
ejpam-6643	261	12	2025	2025	NUM
ejpam-6643	261	13	)	)	PUNCT
ejpam-6643	261	14	,	,	PUNCT
ejpam-6643	261	15	6643	6643	NUM
ejpam-6643	261	16	16	16	NUM
ejpam-6643	261	17	of	of	ADP
ejpam-6643	261	18	27	27	NUM
ejpam-6643	261	19	φe	φe	ADP
ejpam-6643	261	20	:	:	PUNCT
ejpam-6643	261	21	ξ	ξ	X
ejpam-6643	261	22	−→	−→	NOUN
ejpam-6643	261	23	e	e	NOUN
ejpam-6643	261	24	,	,	PUNCT
ejpam-6643	261	25	φe	φe	X
ejpam-6643	261	26	(	(	PUNCT
ejpam-6643	261	27	(	(	PUNCT
ejpam-6643	261	28	t	t	PROPN
ejpam-6643	261	29	,	,	PUNCT
ejpam-6643	261	30	h	h	NOUN
ejpam-6643	261	31	)	)	PUNCT
ejpam-6643	261	32	)	)	PUNCT
ejpam-6643	262	1	=	=	SYM
ejpam-6643	262	2	(	(	PUNCT
ejpam-6643	262	3	{	{	PUNCT
ejpam-6643	262	4	t	t	NOUN
ejpam-6643	262	5	}	}	PUNCT
ejpam-6643	262	6	,	,	PUNCT
ejpam-6643	262	7	{	{	PUNCT
ejpam-6643	262	8	h	h	NOUN
ejpam-6643	262	9	}	}	PUNCT
ejpam-6643	262	10	)	)	PUNCT
ejpam-6643	262	11	.	.	PUNCT
ejpam-6643	263	1	together	together	ADV
ejpam-6643	263	2	,	,	PUNCT
ejpam-6643	263	3	(	(	PUNCT
ejpam-6643	263	4	φv	φv	INTJ
ejpam-6643	263	5	,	,	PUNCT
ejpam-6643	263	6	φe	φe	NOUN
ejpam-6643	263	7	)	)	PUNCT
ejpam-6643	263	8	is	be	AUX
ejpam-6643	263	9	a	a	DET
ejpam-6643	263	10	bijection	bijection	NOUN
ejpam-6643	263	11	of	of	ADP
ejpam-6643	263	12	directed	direct	VERB
ejpam-6643	263	13	hypergraphs	hypergraph	NOUN
ejpam-6643	263	14	that	that	PRON
ejpam-6643	263	15	carries	carry	VERB
ejpam-6643	263	16	the	the	DET
ejpam-6643	263	17	soft	soft	ADJ
ejpam-6643	263	18	selection	selection	NOUN
ejpam-6643	263	19	(	(	PUNCT
ejpam-6643	263	20	r(c	r(c	PROPN
ejpam-6643	263	21	)	)	PUNCT
ejpam-6643	263	22	,	,	PUNCT
ejpam-6643	263	23	s(c	s(c	NOUN
ejpam-6643	263	24	)	)	PUNCT
ejpam-6643	263	25	)	)	PUNCT
ejpam-6643	263	26	precisely	precisely	ADV
ejpam-6643	263	27	to	to	ADP
ejpam-6643	263	28	(	(	PUNCT
ejpam-6643	263	29	a(c	a(c	PROPN
ejpam-6643	263	30	)	)	PUNCT
ejpam-6643	263	31	,	,	PUNCT
ejpam-6643	263	32	b(c	b(c	NOUN
ejpam-6643	263	33	)	)	PUNCT
ejpam-6643	263	34	)	)	PUNCT
ejpam-6643	263	35	.	.	PUNCT
ejpam-6643	264	1	in	in	ADP
ejpam-6643	264	2	particular	particular	ADJ
ejpam-6643	264	3	φv	φv	X
ejpam-6643	264	4	(	(	PUNCT
ejpam-6643	264	5	r(c	r(c	PROPN
ejpam-6643	264	6	)	)	PUNCT
ejpam-6643	264	7	)	)	PUNCT
ejpam-6643	265	1	=	=	SYM
ejpam-6643	265	2	a(c	a(c	PROPN
ejpam-6643	265	3	)	)	PUNCT
ejpam-6643	265	4	,	,	PUNCT
ejpam-6643	265	5	φe	φe	X
ejpam-6643	265	6	(	(	PUNCT
ejpam-6643	265	7	s(c	s(c	ADJ
ejpam-6643	265	8	)	)	PUNCT
ejpam-6643	265	9	)	)	PUNCT
ejpam-6643	265	10	=	=	SYM
ejpam-6643	265	11	b(c	b(c	NOUN
ejpam-6643	265	12	)	)	PUNCT
ejpam-6643	265	13	,	,	PUNCT
ejpam-6643	265	14	for	for	ADP
ejpam-6643	265	15	all	all	DET
ejpam-6643	265	16	c	c	PROPN
ejpam-6643	265	17	∈	∈	PROPN
ejpam-6643	265	18	c.	c.	NOUN
ejpam-6643	265	19	hence	hence	ADV
ejpam-6643	265	20	the	the	DET
ejpam-6643	265	21	two	two	NUM
ejpam-6643	265	22	soft	soft	ADJ
ejpam-6643	265	23	structures	structure	NOUN
ejpam-6643	265	24	are	be	AUX
ejpam-6643	265	25	isomorphic	isomorphic	ADJ
ejpam-6643	265	26	,	,	PUNCT
ejpam-6643	265	27	completing	complete	VERB
ejpam-6643	265	28	the	the	DET
ejpam-6643	265	29	proof	proof	NOUN
ejpam-6643	265	30	.	.	PUNCT
ejpam-6643	266	1	theorem	theorem	ADJ
ejpam-6643	266	2	3	3	NUM
ejpam-6643	266	3	(	(	PUNCT
ejpam-6643	266	4	isomorphism	isomorphism	NOUN
ejpam-6643	266	5	invariance	invariance	NOUN
ejpam-6643	266	6	)	)	PUNCT
ejpam-6643	266	7	.	.	PUNCT
ejpam-6643	267	1	let	let	VERB
ejpam-6643	267	2	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	267	3	)	)	PUNCT
ejpam-6643	267	4	=	=	SYM
ejpam-6643	268	1	(	(	PUNCT
ejpam-6643	268	2	v	v	NOUN
ejpam-6643	268	3	,	,	PUNCT
ejpam-6643	268	4	e	e	NOUN
ejpam-6643	268	5	)	)	PUNCT
ejpam-6643	268	6	and	and	CCONJ
ejpam-6643	268	7	dsuhg′(n	dsuhg′(n	X
ejpam-6643	268	8	)	)	PUNCT
ejpam-6643	269	1	=	=	PRON
ejpam-6643	269	2	(	(	PUNCT
ejpam-6643	269	3	v	v	NOUN
ejpam-6643	269	4	′	′	NUM
ejpam-6643	269	5	,	,	PUNCT
ejpam-6643	269	6	e′	e′	ADJ
ejpam-6643	269	7	)	)	PUNCT
ejpam-6643	269	8	be	be	VERB
ejpam-6643	269	9	two	two	NUM
ejpam-6643	269	10	directed	direct	VERB
ejpam-6643	269	11	n	n	CCONJ
ejpam-6643	269	12	-	-	PUNCT
ejpam-6643	269	13	superhypergraphs	superhypergraph	NOUN
ejpam-6643	269	14	.	.	PUNCT
ejpam-6643	270	1	suppose	suppose	VERB
ejpam-6643	270	2	φ	φ	PROPN
ejpam-6643	270	3	:	:	PUNCT
ejpam-6643	270	4	v	v	X
ejpam-6643	270	5	→	→	SYM
ejpam-6643	270	6	v	v	NUM
ejpam-6643	270	7	′	′	NOUN
ejpam-6643	270	8	is	be	AUX
ejpam-6643	270	9	a	a	DET
ejpam-6643	270	10	bijection	bijection	NOUN
ejpam-6643	270	11	such	such	ADJ
ejpam-6643	270	12	that	that	PRON
ejpam-6643	270	13	for	for	ADP
ejpam-6643	270	14	every	every	DET
ejpam-6643	270	15	directed	direct	VERB
ejpam-6643	270	16	superedge	superedge	NOUN
ejpam-6643	270	17	e	e	NOUN
ejpam-6643	270	18	=	=	SYM
ejpam-6643	270	19	(	(	PUNCT
ejpam-6643	270	20	t	t	PROPN
ejpam-6643	270	21	,	,	PUNCT
ejpam-6643	270	22	h	h	NOUN
ejpam-6643	270	23	)	)	PUNCT
ejpam-6643	270	24	∈	∈	PROPN
ejpam-6643	270	25	e	e	NOUN
ejpam-6643	270	26	,	,	PUNCT
ejpam-6643	270	27	(	(	PUNCT
ejpam-6643	270	28	φ(t	φ(t	PROPN
ejpam-6643	270	29	)	)	PUNCT
ejpam-6643	270	30	,	,	PUNCT
ejpam-6643	270	31	φ(h	φ(h	NOUN
ejpam-6643	270	32	)	)	PUNCT
ejpam-6643	270	33	)	)	PUNCT
ejpam-6643	271	1	∈	∈	PROPN
ejpam-6643	271	2	e′	e′	NOUN
ejpam-6643	271	3	,	,	PUNCT
ejpam-6643	271	4	where	where	SCONJ
ejpam-6643	271	5	φ(t	φ(t	PROPN
ejpam-6643	271	6	)	)	PUNCT
ejpam-6643	272	1	=	=	PRON
ejpam-6643	272	2	{	{	PUNCT
ejpam-6643	272	3	φ(v	φ(v	PROPN
ejpam-6643	272	4	)	)	PUNCT
ejpam-6643	272	5	:	:	PUNCT
ejpam-6643	272	6	v	v	X
ejpam-6643	272	7	∈	∈	PROPN
ejpam-6643	272	8	t	t	PROPN
ejpam-6643	272	9	}	}	PUNCT
ejpam-6643	272	10	.	.	PUNCT
ejpam-6643	273	1	given	give	VERB
ejpam-6643	273	2	a	a	DET
ejpam-6643	273	3	soft	soft	ADJ
ejpam-6643	273	4	structure	structure	NOUN
ejpam-6643	273	5	(	(	PUNCT
ejpam-6643	273	6	c	c	NOUN
ejpam-6643	273	7	,	,	PUNCT
ejpam-6643	273	8	a	a	DET
ejpam-6643	273	9	,	,	PUNCT
ejpam-6643	273	10	b	b	NOUN
ejpam-6643	273	11	)	)	PUNCT
ejpam-6643	273	12	on	on	ADP
ejpam-6643	273	13	the	the	DET
ejpam-6643	273	14	first	first	ADJ
ejpam-6643	273	15	graph	graph	NOUN
ejpam-6643	273	16	,	,	PUNCT
ejpam-6643	273	17	define	define	VERB
ejpam-6643	273	18	a′(c	a′(c	PRON
ejpam-6643	273	19	)	)	PUNCT
ejpam-6643	273	20	=	=	SYM
ejpam-6643	273	21	φ	φ	PROPN
ejpam-6643	273	22	(	(	PUNCT
ejpam-6643	273	23	a(c	a(c	PROPN
ejpam-6643	273	24	)	)	PUNCT
ejpam-6643	273	25	)	)	PUNCT
ejpam-6643	273	26	,	,	PUNCT
ejpam-6643	273	27	b′(c	b′(c	PROPN
ejpam-6643	273	28	)	)	PUNCT
ejpam-6643	273	29	=	=	SYM
ejpam-6643	273	30	{	{	PUNCT
ejpam-6643	273	31	(	(	PUNCT
ejpam-6643	273	32	φ(t	φ(t	PROPN
ejpam-6643	273	33	)	)	PUNCT
ejpam-6643	273	34	,	,	PUNCT
ejpam-6643	273	35	φ(h	φ(h	NOUN
ejpam-6643	273	36	)	)	PUNCT
ejpam-6643	273	37	)	)	PUNCT
ejpam-6643	273	38	:	:	PUNCT
ejpam-6643	273	39	(	(	PUNCT
ejpam-6643	273	40	t	t	PROPN
ejpam-6643	273	41	,	,	PUNCT
ejpam-6643	273	42	h	h	NOUN
ejpam-6643	273	43	)	)	PUNCT
ejpam-6643	273	44	∈	∈	PROPN
ejpam-6643	273	45	b(c	b(c	NOUN
ejpam-6643	273	46	)	)	PUNCT
ejpam-6643	273	47	}	}	PUNCT
ejpam-6643	273	48	.	.	PUNCT
ejpam-6643	274	1	then	then	ADV
ejpam-6643	274	2	(	(	PUNCT
ejpam-6643	274	3	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	274	4	)	)	PUNCT
ejpam-6643	274	5	,	,	PUNCT
ejpam-6643	274	6	c	c	X
ejpam-6643	274	7	,	,	PUNCT
ejpam-6643	274	8	a	a	DET
ejpam-6643	274	9	,	,	PUNCT
ejpam-6643	274	10	b	b	NOUN
ejpam-6643	274	11	)	)	PUNCT
ejpam-6643	274	12	∼=	∼=	PROPN
ejpam-6643	274	13	(	(	PUNCT
ejpam-6643	274	14	dsuhg′(n	dsuhg′(n	PROPN
ejpam-6643	274	15	)	)	PUNCT
ejpam-6643	274	16	,	,	PUNCT
ejpam-6643	274	17	c	c	NOUN
ejpam-6643	274	18	,	,	PUNCT
ejpam-6643	274	19	a′	a′	PROPN
ejpam-6643	274	20	,	,	PUNCT
ejpam-6643	274	21	b′	b′	NUM
ejpam-6643	274	22	)	)	PUNCT
ejpam-6643	274	23	as	as	ADP
ejpam-6643	274	24	soft	soft	ADJ
ejpam-6643	274	25	directed	direct	VERB
ejpam-6643	274	26	n	n	CCONJ
ejpam-6643	274	27	-	-	PUNCT
ejpam-6643	274	28	superhypergraphs	superhypergraph	NOUN
ejpam-6643	274	29	.	.	PUNCT
ejpam-6643	275	1	proof	proof	NOUN
ejpam-6643	275	2	.	.	PUNCT
ejpam-6643	276	1	we	we	PRON
ejpam-6643	276	2	break	break	VERB
ejpam-6643	276	3	the	the	DET
ejpam-6643	276	4	proof	proof	NOUN
ejpam-6643	276	5	into	into	ADP
ejpam-6643	276	6	three	three	NUM
ejpam-6643	276	7	parts	part	NOUN
ejpam-6643	276	8	:	:	PUNCT
ejpam-6643	276	9	1	1	X
ejpam-6643	276	10	.	.	X
ejpam-6643	276	11	extend	extend	VERB
ejpam-6643	276	12	φ	φ	PROPN
ejpam-6643	276	13	to	to	ADP
ejpam-6643	276	14	supervertices	supervertice	NOUN
ejpam-6643	276	15	.	.	PUNCT
ejpam-6643	277	1	since	since	SCONJ
ejpam-6643	277	2	v	v	NUM
ejpam-6643	277	3	⊆	⊆	NUM
ejpam-6643	277	4	powsn(s	powsn(s	NOUN
ejpam-6643	277	5	)	)	PUNCT
ejpam-6643	277	6	,	,	PUNCT
ejpam-6643	277	7	define	define	VERB
ejpam-6643	277	8	φn	φn	ADP
ejpam-6643	277	9	:	:	PUNCT
ejpam-6643	277	10	powsn(s	powsn(s	NOUN
ejpam-6643	277	11	)	)	PUNCT
ejpam-6643	277	12	−→	−→	NOUN
ejpam-6643	277	13	powsn(s′	powsn(s′	PROPN
ejpam-6643	277	14	)	)	PUNCT
ejpam-6643	277	15	,	,	PUNCT
ejpam-6643	277	16	φn(x	φn(x	PUNCT
ejpam-6643	277	17	)	)	PUNCT
ejpam-6643	277	18	=	=	PRON
ejpam-6643	277	19	{	{	PUNCT
ejpam-6643	277	20	φ(v	φ(v	PROPN
ejpam-6643	277	21	)	)	PUNCT
ejpam-6643	277	22	:	:	PUNCT
ejpam-6643	278	1	v	v	X
ejpam-6643	278	2	∈	∈	NOUN
ejpam-6643	278	3	x	x	NOUN
ejpam-6643	278	4	}	}	PUNCT
ejpam-6643	278	5	.	.	PUNCT
ejpam-6643	279	1	by	by	ADP
ejpam-6643	279	2	bijectivity	bijectivity	NOUN
ejpam-6643	279	3	of	of	ADP
ejpam-6643	279	4	φ	φ	PROPN
ejpam-6643	279	5	,	,	PUNCT
ejpam-6643	279	6	φn	φn	ADP
ejpam-6643	279	7	is	be	AUX
ejpam-6643	279	8	also	also	ADV
ejpam-6643	279	9	a	a	DET
ejpam-6643	279	10	bijection	bijection	NOUN
ejpam-6643	279	11	on	on	ADP
ejpam-6643	279	12	n	n	NOUN
ejpam-6643	279	13	-	-	PUNCT
ejpam-6643	279	14	supervertices	supervertice	NOUN
ejpam-6643	279	15	.	.	NOUN
ejpam-6643	280	1	2	2	X
ejpam-6643	280	2	.	.	X
ejpam-6643	280	3	preserve	preserve	VERB
ejpam-6643	280	4	directed	direct	VERB
ejpam-6643	280	5	edges	edge	NOUN
ejpam-6643	280	6	.	.	PUNCT
ejpam-6643	281	1	take	take	VERB
ejpam-6643	281	2	any	any	DET
ejpam-6643	281	3	directed	direct	VERB
ejpam-6643	281	4	superedge	superedge	NOUN
ejpam-6643	281	5	e	e	NOUN
ejpam-6643	281	6	=	=	SYM
ejpam-6643	281	7	(	(	PUNCT
ejpam-6643	281	8	t	t	PROPN
ejpam-6643	281	9	,	,	PUNCT
ejpam-6643	281	10	h	h	NOUN
ejpam-6643	281	11	)	)	PUNCT
ejpam-6643	281	12	∈	∈	PROPN
ejpam-6643	281	13	e.	e.	PROPN
ejpam-6643	281	14	by	by	ADP
ejpam-6643	281	15	hypothesis	hypothesis	NOUN
ejpam-6643	281	16	,	,	PUNCT
ejpam-6643	281	17	(	(	PUNCT
ejpam-6643	281	18	φ(t	φ(t	PROPN
ejpam-6643	281	19	)	)	PUNCT
ejpam-6643	281	20	,	,	PUNCT
ejpam-6643	281	21	φ(h	φ(h	NOUN
ejpam-6643	281	22	)	)	PUNCT
ejpam-6643	281	23	)	)	PUNCT
ejpam-6643	282	1	∈	∈	PROPN
ejpam-6643	282	2	e′.	e′.	NOUN
ejpam-6643	282	3	thus	thus	ADV
ejpam-6643	282	4	φn	φn	ADV
ejpam-6643	282	5	carries	carry	VERB
ejpam-6643	282	6	the	the	DET
ejpam-6643	282	7	entire	entire	ADJ
ejpam-6643	282	8	relation	relation	NOUN
ejpam-6643	282	9	e	e	NOUN
ejpam-6643	282	10	onto	onto	ADP
ejpam-6643	282	11	e′.	e′.	ADJ
ejpam-6643	282	12	3	3	NUM
ejpam-6643	282	13	.	.	PUNCT
ejpam-6643	282	14	map	map	VERB
ejpam-6643	282	15	soft	soft	ADJ
ejpam-6643	282	16	selections	selection	NOUN
ejpam-6643	282	17	.	.	PUNCT
ejpam-6643	283	1	for	for	ADP
ejpam-6643	283	2	each	each	DET
ejpam-6643	283	3	parameter	parameter	NOUN
ejpam-6643	283	4	c	c	PROPN
ejpam-6643	283	5	∈	∈	PROPN
ejpam-6643	283	6	c	c	NOUN
ejpam-6643	283	7	:	:	PUNCT
ejpam-6643	283	8	a′(c	a′(c	X
ejpam-6643	283	9	)	)	PUNCT
ejpam-6643	283	10	=	=	SYM
ejpam-6643	283	11	φn	φn	ADJ
ejpam-6643	283	12	(	(	PUNCT
ejpam-6643	283	13	a(c	a(c	PROPN
ejpam-6643	283	14	)	)	PUNCT
ejpam-6643	283	15	)	)	PUNCT
ejpam-6643	283	16	and	and	CCONJ
ejpam-6643	283	17	b′(c	b′(c	PROPN
ejpam-6643	283	18	)	)	PUNCT
ejpam-6643	283	19	=	=	PRON
ejpam-6643	283	20	{	{	PUNCT
ejpam-6643	283	21	(	(	PUNCT
ejpam-6643	283	22	φn(t	φn(t	X
ejpam-6643	283	23	)	)	PUNCT
ejpam-6643	283	24	,	,	PUNCT
ejpam-6643	283	25	φn(h	φn(h	NOUN
ejpam-6643	283	26	)	)	PUNCT
ejpam-6643	283	27	)	)	PUNCT
ejpam-6643	283	28	:	:	PUNCT
ejpam-6643	283	29	(	(	PUNCT
ejpam-6643	283	30	t	t	PROPN
ejpam-6643	283	31	,	,	PUNCT
ejpam-6643	283	32	h	h	NOUN
ejpam-6643	283	33	)	)	PUNCT
ejpam-6643	283	34	∈	∈	PROPN
ejpam-6643	283	35	b(c	b(c	NOUN
ejpam-6643	283	36	)	)	PUNCT
ejpam-6643	283	37	}	}	PUNCT
ejpam-6643	283	38	.	.	PUNCT
ejpam-6643	284	1	because	because	SCONJ
ejpam-6643	284	2	φn	φn	NOUN
ejpam-6643	284	3	is	be	AUX
ejpam-6643	284	4	bijective	bijective	ADJ
ejpam-6643	284	5	and	and	CCONJ
ejpam-6643	284	6	respects	respect	VERB
ejpam-6643	284	7	inclusion	inclusion	NOUN
ejpam-6643	284	8	,	,	PUNCT
ejpam-6643	284	9	t	t	PROPN
ejpam-6643	284	10	⊆	⊆	NUM
ejpam-6643	284	11	a(c	a(c	NOUN
ejpam-6643	284	12	)	)	PUNCT
ejpam-6643	284	13	⇐	⇐	ADJ
ejpam-6643	284	14	⇒	⇒	NOUN
ejpam-6643	284	15	φn(t	φn(t	PUNCT
ejpam-6643	284	16	)	)	PUNCT
ejpam-6643	285	1	⊆	⊆	X
ejpam-6643	285	2	φn	φn	ADP
ejpam-6643	285	3	(	(	PUNCT
ejpam-6643	285	4	a(c	a(c	PROPN
ejpam-6643	285	5	)	)	PUNCT
ejpam-6643	285	6	)	)	PUNCT
ejpam-6643	285	7	=	=	PUNCT
ejpam-6643	285	8	a′(c	a′(c	PROPN
ejpam-6643	285	9	)	)	PUNCT
ejpam-6643	285	10	,	,	PUNCT
ejpam-6643	285	11	and	and	CCONJ
ejpam-6643	285	12	similarly	similarly	ADV
ejpam-6643	285	13	for	for	ADP
ejpam-6643	285	14	heads	head	NOUN
ejpam-6643	285	15	.	.	PUNCT
ejpam-6643	286	1	hence	hence	ADV
ejpam-6643	286	2	(	(	PUNCT
ejpam-6643	286	3	a(c	a(c	PROPN
ejpam-6643	286	4	)	)	PUNCT
ejpam-6643	286	5	,	,	PUNCT
ejpam-6643	286	6	b(c	b(c	NOUN
ejpam-6643	286	7	)	)	PUNCT
ejpam-6643	286	8	)	)	PUNCT
ejpam-6643	286	9	is	be	AUX
ejpam-6643	286	10	carried	carry	VERB
ejpam-6643	286	11	exactly	exactly	ADV
ejpam-6643	286	12	to	to	ADP
ejpam-6643	286	13	(	(	PUNCT
ejpam-6643	286	14	a′(c	a′(c	NOUN
ejpam-6643	286	15	)	)	PUNCT
ejpam-6643	286	16	,	,	PUNCT
ejpam-6643	286	17	b′(c	b′(c	PROPN
ejpam-6643	286	18	)	)	PUNCT
ejpam-6643	286	19	)	)	PUNCT
ejpam-6643	286	20	,	,	PUNCT
ejpam-6643	286	21	verifying	verify	VERB
ejpam-6643	286	22	the	the	DET
ejpam-6643	286	23	isomorphism	isomorphism	NOUN
ejpam-6643	286	24	of	of	ADP
ejpam-6643	286	25	soft	soft	ADJ
ejpam-6643	286	26	structures	structure	NOUN
ejpam-6643	286	27	.	.	PUNCT
ejpam-6643	287	1	theorem	theorem	ADJ
ejpam-6643	287	2	4	4	NUM
ejpam-6643	287	3	(	(	PUNCT
ejpam-6643	287	4	recovery	recovery	NOUN
ejpam-6643	287	5	of	of	ADP
ejpam-6643	287	6	directed	direct	VERB
ejpam-6643	287	7	n	n	CCONJ
ejpam-6643	287	8	-	-	PUNCT
ejpam-6643	287	9	superhypergraphs	superhypergraph	NOUN
ejpam-6643	287	10	)	)	PUNCT
ejpam-6643	287	11	.	.	PUNCT
ejpam-6643	288	1	if	if	SCONJ
ejpam-6643	288	2	c	c	NOUN
ejpam-6643	288	3	=	=	SYM
ejpam-6643	288	4	{	{	PUNCT
ejpam-6643	288	5	∗	∗	NOUN
ejpam-6643	288	6	}	}	PUNCT
ejpam-6643	288	7	and	and	CCONJ
ejpam-6643	288	8	we	we	PRON
ejpam-6643	288	9	define	define	VERB
ejpam-6643	288	10	a(∗	a(∗	PRON
ejpam-6643	288	11	)	)	PUNCT
ejpam-6643	288	12	=	=	SYM
ejpam-6643	288	13	v	v	NOUN
ejpam-6643	288	14	,	,	PUNCT
ejpam-6643	288	15	b(∗	b(∗	X
ejpam-6643	288	16	)	)	PUNCT
ejpam-6643	289	1	=	=	SYM
ejpam-6643	289	2	e	e	NOUN
ejpam-6643	289	3	,	,	PUNCT
ejpam-6643	289	4	then	then	ADV
ejpam-6643	289	5	the	the	DET
ejpam-6643	289	6	soft	soft	ADJ
ejpam-6643	289	7	directed	direct	VERB
ejpam-6643	289	8	n	n	CCONJ
ejpam-6643	289	9	-	-	PUNCT
ejpam-6643	289	10	superhypergraph	superhypergraph	NOUN
ejpam-6643	289	11	(	(	PUNCT
ejpam-6643	289	12	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	289	13	)	)	PUNCT
ejpam-6643	289	14	,	,	PUNCT
ejpam-6643	289	15	c	c	X
ejpam-6643	289	16	,	,	PUNCT
ejpam-6643	289	17	a	a	DET
ejpam-6643	289	18	,	,	PUNCT
ejpam-6643	289	19	b	b	NOUN
ejpam-6643	289	20	)	)	PUNCT
ejpam-6643	289	21	reduces	reduce	VERB
ejpam-6643	289	22	to	to	ADP
ejpam-6643	289	23	the	the	DET
ejpam-6643	289	24	underlying	underlie	VERB
ejpam-6643	289	25	directed	direct	VERB
ejpam-6643	289	26	n	n	CCONJ
ejpam-6643	289	27	-	-	PUNCT
ejpam-6643	289	28	superhypergraph	superhypergraph	NOUN
ejpam-6643	289	29	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	289	30	)	)	PUNCT
ejpam-6643	289	31	.	.	PUNCT
ejpam-6643	290	1	t.	t.	PROPN
ejpam-6643	290	2	fujita	fujita	PROPN
ejpam-6643	290	3	,	,	PUNCT
ejpam-6643	290	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	290	5	/	/	SYM
ejpam-6643	290	6	eur	eur	PROPN
ejpam-6643	290	7	.	.	PUNCT
ejpam-6643	291	1	j.	j.	PROPN
ejpam-6643	291	2	pure	pure	PROPN
ejpam-6643	291	3	appl	appl	PROPN
ejpam-6643	291	4	.	.	PROPN
ejpam-6643	291	5	math	math	PROPN
ejpam-6643	291	6	,	,	PUNCT
ejpam-6643	291	7	18	18	NUM
ejpam-6643	291	8	(	(	PUNCT
ejpam-6643	291	9	4	4	NUM
ejpam-6643	291	10	)	)	PUNCT
ejpam-6643	291	11	(	(	PUNCT
ejpam-6643	291	12	2025	2025	NUM
ejpam-6643	291	13	)	)	PUNCT
ejpam-6643	291	14	,	,	PUNCT
ejpam-6643	291	15	6643	6643	NUM
ejpam-6643	291	16	17	17	NUM
ejpam-6643	291	17	of	of	ADP
ejpam-6643	291	18	27	27	NUM
ejpam-6643	291	19	proof	proof	NOUN
ejpam-6643	291	20	.	.	PUNCT
ejpam-6643	292	1	with	with	ADP
ejpam-6643	292	2	exactly	exactly	ADV
ejpam-6643	292	3	one	one	NUM
ejpam-6643	292	4	parameter	parameter	NOUN
ejpam-6643	292	5	,	,	PUNCT
ejpam-6643	292	6	the	the	DET
ejpam-6643	292	7	only	only	ADJ
ejpam-6643	292	8	soft	soft	ADJ
ejpam-6643	292	9	sub	sub	ADJ
ejpam-6643	292	10	-	-	ADJ
ejpam-6643	292	11	n	n	CCONJ
ejpam-6643	292	12	-	-	PUNCT
ejpam-6643	292	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	292	14	is	be	AUX
ejpam-6643	292	15	(	(	PUNCT
ejpam-6643	292	16	a(∗	a(∗	INTJ
ejpam-6643	292	17	)	)	PUNCT
ejpam-6643	292	18	,	,	PUNCT
ejpam-6643	292	19	b(∗	b(∗	PROPN
ejpam-6643	292	20	)	)	PUNCT
ejpam-6643	292	21	)	)	PUNCT
ejpam-6643	293	1	=	=	SYM
ejpam-6643	293	2	(	(	PUNCT
ejpam-6643	293	3	v	v	NOUN
ejpam-6643	293	4	,	,	PUNCT
ejpam-6643	293	5	e	e	NOUN
ejpam-6643	293	6	)	)	PUNCT
ejpam-6643	293	7	.	.	PUNCT
ejpam-6643	294	1	there	there	PRON
ejpam-6643	294	2	is	be	VERB
ejpam-6643	294	3	no	no	DET
ejpam-6643	294	4	restriction	restriction	NOUN
ejpam-6643	294	5	or	or	CCONJ
ejpam-6643	294	6	filtering	filtering	NOUN
ejpam-6643	294	7	:	:	PUNCT
ejpam-6643	294	8	all	all	DET
ejpam-6643	294	9	supervertices	supervertice	NOUN
ejpam-6643	294	10	and	and	CCONJ
ejpam-6643	294	11	superedges	superedge	NOUN
ejpam-6643	294	12	are	be	AUX
ejpam-6643	294	13	included	include	VERB
ejpam-6643	294	14	.	.	PUNCT
ejpam-6643	295	1	therefore	therefore	ADV
ejpam-6643	295	2	the	the	DET
ejpam-6643	295	3	soft	soft	ADJ
ejpam-6643	295	4	structure	structure	NOUN
ejpam-6643	295	5	coincides	coincide	VERB
ejpam-6643	295	6	with	with	ADP
ejpam-6643	295	7	the	the	DET
ejpam-6643	295	8	original	original	ADJ
ejpam-6643	295	9	directed	direct	VERB
ejpam-6643	295	10	graph	graph	NOUN
ejpam-6643	295	11	.	.	PUNCT
ejpam-6643	296	1	theorem	theorem	NOUN
ejpam-6643	296	2	5	5	NUM
ejpam-6643	296	3	(	(	PUNCT
ejpam-6643	296	4	recovery	recovery	NOUN
ejpam-6643	296	5	of	of	ADP
ejpam-6643	296	6	soft	soft	ADJ
ejpam-6643	296	7	n	n	CCONJ
ejpam-6643	296	8	-	-	PUNCT
ejpam-6643	296	9	superhypergraphs	superhypergraph	NOUN
ejpam-6643	296	10	)	)	PUNCT
ejpam-6643	296	11	.	.	PUNCT
ejpam-6643	297	1	let	let	AUX
ejpam-6643	297	2	(	(	PUNCT
ejpam-6643	297	3	v	v	NOUN
ejpam-6643	297	4	,	,	PUNCT
ejpam-6643	297	5	e	e	NOUN
ejpam-6643	297	6	,	,	PUNCT
ejpam-6643	297	7	c	c	X
ejpam-6643	297	8	,	,	PUNCT
ejpam-6643	297	9	a	a	DET
ejpam-6643	297	10	,	,	PUNCT
ejpam-6643	297	11	b	b	NOUN
ejpam-6643	297	12	)	)	PUNCT
ejpam-6643	297	13	be	be	AUX
ejpam-6643	297	14	a	a	DET
ejpam-6643	297	15	soft	soft	ADJ
ejpam-6643	297	16	(	(	PUNCT
ejpam-6643	297	17	undirected	undirected	ADJ
ejpam-6643	297	18	)	)	PUNCT
ejpam-6643	297	19	n	n	CCONJ
ejpam-6643	297	20	-	-	PUNCT
ejpam-6643	297	21	superhypergraph	superhypergraph	NOUN
ejpam-6643	297	22	.	.	PUNCT
ejpam-6643	298	1	construct	construct	VERB
ejpam-6643	298	2	a	a	DET
ejpam-6643	298	3	directed	direct	VERB
ejpam-6643	298	4	looped	loop	VERB
ejpam-6643	298	5	version	version	NOUN
ejpam-6643	298	6	dsuhg′(n	dsuhg′(n	PROPN
ejpam-6643	298	7	)	)	PUNCT
ejpam-6643	298	8	=	=	PRON
ejpam-6643	298	9	(	(	PUNCT
ejpam-6643	298	10	v	v	NOUN
ejpam-6643	298	11	,	,	PUNCT
ejpam-6643	298	12	e′	e′	NOUN
ejpam-6643	298	13	)	)	PUNCT
ejpam-6643	298	14	by	by	ADP
ejpam-6643	298	15	e′	e′	X
ejpam-6643	298	16	=	=	SYM
ejpam-6643	298	17	{	{	PUNCT
ejpam-6643	298	18	(	(	PUNCT
ejpam-6643	298	19	e	e	NOUN
ejpam-6643	298	20	,	,	PUNCT
ejpam-6643	298	21	e	e	NOUN
ejpam-6643	298	22	)	)	PUNCT
ejpam-6643	298	23	:	:	PUNCT
ejpam-6643	299	1	e	e	X
ejpam-6643	299	2	∈	∈	PROPN
ejpam-6643	299	3	e	e	NOUN
ejpam-6643	299	4	}	}	PUNCT
ejpam-6643	299	5	.	.	PUNCT
ejpam-6643	300	1	then	then	ADV
ejpam-6643	300	2	(	(	PUNCT
ejpam-6643	300	3	dsuhg′(n	dsuhg′(n	PROPN
ejpam-6643	300	4	)	)	PUNCT
ejpam-6643	300	5	,	,	PUNCT
ejpam-6643	300	6	c	c	X
ejpam-6643	300	7	,	,	PUNCT
ejpam-6643	300	8	a	a	DET
ejpam-6643	300	9	,	,	PUNCT
ejpam-6643	300	10	b	b	NOUN
ejpam-6643	300	11	)	)	PUNCT
ejpam-6643	300	12	as	as	ADP
ejpam-6643	300	13	a	a	DET
ejpam-6643	300	14	soft	soft	ADJ
ejpam-6643	300	15	directed	direct	VERB
ejpam-6643	300	16	n	n	CCONJ
ejpam-6643	300	17	-	-	PUNCT
ejpam-6643	300	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	300	19	recovers	recover	NOUN
ejpam-6643	300	20	(	(	PUNCT
ejpam-6643	300	21	v	v	NOUN
ejpam-6643	300	22	,	,	PUNCT
ejpam-6643	300	23	e	e	NOUN
ejpam-6643	300	24	,	,	PUNCT
ejpam-6643	300	25	c	c	X
ejpam-6643	300	26	,	,	PUNCT
ejpam-6643	300	27	a	a	DET
ejpam-6643	300	28	,	,	PUNCT
ejpam-6643	300	29	b	b	NOUN
ejpam-6643	300	30	)	)	PUNCT
ejpam-6643	300	31	.	.	PUNCT
ejpam-6643	301	1	proof	proof	NOUN
ejpam-6643	301	2	.	.	PUNCT
ejpam-6643	302	1	each	each	DET
ejpam-6643	302	2	undirected	undirected	ADJ
ejpam-6643	302	3	superedge	superedge	NOUN
ejpam-6643	302	4	e	e	X
ejpam-6643	302	5	∈	∈	NOUN
ejpam-6643	302	6	e	e	NOUN
ejpam-6643	302	7	becomes	become	VERB
ejpam-6643	302	8	a	a	DET
ejpam-6643	302	9	directed	direct	VERB
ejpam-6643	302	10	hyperedge	hyperedge	NOUN
ejpam-6643	302	11	(	(	PUNCT
ejpam-6643	302	12	e	e	NOUN
ejpam-6643	302	13	,	,	PUNCT
ejpam-6643	302	14	e	e	NOUN
ejpam-6643	302	15	)	)	PUNCT
ejpam-6643	302	16	that	that	PRON
ejpam-6643	302	17	loops	loop	VERB
ejpam-6643	302	18	from	from	ADP
ejpam-6643	302	19	e	e	PRON
ejpam-6643	302	20	back	back	ADV
ejpam-6643	302	21	to	to	ADP
ejpam-6643	302	22	e.	e.	PROPN
ejpam-6643	302	23	for	for	ADP
ejpam-6643	302	24	each	each	DET
ejpam-6643	302	25	c	c	NOUN
ejpam-6643	302	26	∈	∈	PROPN
ejpam-6643	302	27	c	c	NOUN
ejpam-6643	302	28	:	:	PUNCT
ejpam-6643	302	29	b(c	b(c	NOUN
ejpam-6643	302	30	)	)	PUNCT
ejpam-6643	302	31	⊆	⊆	NUM
ejpam-6643	302	32	{	{	PUNCT
ejpam-6643	302	33	e	e	NOUN
ejpam-6643	302	34	∈	∈	PROPN
ejpam-6643	302	35	e	e	NOUN
ejpam-6643	302	36	:	:	PUNCT
ejpam-6643	302	37	e	e	NOUN
ejpam-6643	302	38	⊆	⊆	NUM
ejpam-6643	302	39	a(c	a(c	NOUN
ejpam-6643	302	40	)	)	PUNCT
ejpam-6643	302	41	}	}	PUNCT
ejpam-6643	302	42	is	be	AUX
ejpam-6643	302	43	equivalent	equivalent	ADJ
ejpam-6643	302	44	to	to	PART
ejpam-6643	302	45	b(c	b(c	VERB
ejpam-6643	302	46	)	)	PUNCT
ejpam-6643	302	47	⊆	⊆	NUM
ejpam-6643	302	48	{	{	PUNCT
ejpam-6643	302	49	(	(	PUNCT
ejpam-6643	302	50	e	e	NOUN
ejpam-6643	302	51	,	,	PUNCT
ejpam-6643	302	52	e	e	NOUN
ejpam-6643	302	53	)	)	PUNCT
ejpam-6643	302	54	∈	∈	PROPN
ejpam-6643	302	55	e′	e′	NOUN
ejpam-6643	302	56	:	:	PUNCT
ejpam-6643	303	1	tail(e	tail(e	VERB
ejpam-6643	303	2	,	,	PUNCT
ejpam-6643	303	3	e	e	NOUN
ejpam-6643	303	4	)	)	PUNCT
ejpam-6643	303	5	=	=	SYM
ejpam-6643	303	6	e	e	NOUN
ejpam-6643	303	7	⊆	⊆	NUM
ejpam-6643	303	8	a(c	a(c	NOUN
ejpam-6643	303	9	)	)	PUNCT
ejpam-6643	303	10	}	}	PUNCT
ejpam-6643	303	11	,	,	PUNCT
ejpam-6643	303	12	since	since	SCONJ
ejpam-6643	303	13	tail(e	tail(e	PROPN
ejpam-6643	303	14	,	,	PUNCT
ejpam-6643	303	15	e	e	NOUN
ejpam-6643	303	16	)	)	PUNCT
ejpam-6643	303	17	=	=	SYM
ejpam-6643	303	18	head(e	head(e	PROPN
ejpam-6643	303	19	,	,	PUNCT
ejpam-6643	303	20	e	e	NOUN
ejpam-6643	303	21	)	)	PUNCT
ejpam-6643	303	22	=	=	SYM
ejpam-6643	304	1	e.	e.	PROPN
ejpam-6643	304	2	hence	hence	ADV
ejpam-6643	304	3	the	the	DET
ejpam-6643	304	4	soft	soft	ADJ
ejpam-6643	304	5	substructure	substructure	NOUN
ejpam-6643	304	6	(	(	PUNCT
ejpam-6643	304	7	a(c	a(c	PROPN
ejpam-6643	304	8	)	)	PUNCT
ejpam-6643	304	9	,	,	PUNCT
ejpam-6643	304	10	b(c	b(c	NOUN
ejpam-6643	304	11	)	)	PUNCT
ejpam-6643	304	12	)	)	PUNCT
ejpam-6643	304	13	is	be	AUX
ejpam-6643	304	14	unchanged	unchanged	ADJ
ejpam-6643	304	15	,	,	PUNCT
ejpam-6643	304	16	demonstrating	demonstrate	VERB
ejpam-6643	304	17	exact	exact	ADJ
ejpam-6643	304	18	recovery	recovery	NOUN
ejpam-6643	304	19	of	of	ADP
ejpam-6643	304	20	the	the	DET
ejpam-6643	304	21	original	original	ADJ
ejpam-6643	304	22	soft	soft	ADJ
ejpam-6643	304	23	n	n	CCONJ
ejpam-6643	304	24	-	-	PUNCT
ejpam-6643	304	25	superhypergraph	superhypergraph	NOUN
ejpam-6643	304	26	.	.	PUNCT
ejpam-6643	305	1	theorem	theorem	NOUN
ejpam-6643	305	2	6	6	NUM
ejpam-6643	305	3	(	(	PUNCT
ejpam-6643	305	4	monotonicity	monotonicity	NOUN
ejpam-6643	305	5	under	under	ADP
ejpam-6643	305	6	parameter	parameter	NOUN
ejpam-6643	305	7	inclusion	inclusion	PROPN
ejpam-6643	305	8	)	)	PUNCT
ejpam-6643	305	9	.	.	PUNCT
ejpam-6643	306	1	if	if	SCONJ
ejpam-6643	306	2	c1	c1	PROPN
ejpam-6643	306	3	,	,	PUNCT
ejpam-6643	306	4	c2	c2	PROPN
ejpam-6643	306	5	∈	∈	PROPN
ejpam-6643	306	6	c	c	PROPN
ejpam-6643	306	7	satisfy	satisfy	NOUN
ejpam-6643	306	8	a(c1	a(c1	PROPN
ejpam-6643	306	9	)	)	PUNCT
ejpam-6643	306	10	⊆	⊆	NUM
ejpam-6643	306	11	a(c2	a(c2	NUM
ejpam-6643	306	12	)	)	PUNCT
ejpam-6643	306	13	and	and	CCONJ
ejpam-6643	306	14	b(c1	b(c1	NOUN
ejpam-6643	306	15	)	)	PUNCT
ejpam-6643	306	16	⊆	⊆	NUM
ejpam-6643	306	17	b(c2	b(c2	NOUN
ejpam-6643	306	18	)	)	PUNCT
ejpam-6643	306	19	,	,	PUNCT
ejpam-6643	306	20	then	then	ADV
ejpam-6643	306	21	for	for	ADP
ejpam-6643	306	22	every	every	DET
ejpam-6643	306	23	directed	direct	VERB
ejpam-6643	306	24	superedge	superedge	NOUN
ejpam-6643	306	25	(	(	PUNCT
ejpam-6643	306	26	t	t	PROPN
ejpam-6643	306	27	,	,	PUNCT
ejpam-6643	306	28	h	h	NOUN
ejpam-6643	306	29	)	)	PUNCT
ejpam-6643	306	30	∈	∈	PROPN
ejpam-6643	306	31	b(c1	b(c1	PROPN
ejpam-6643	306	32	)	)	PUNCT
ejpam-6643	306	33	,	,	PUNCT
ejpam-6643	306	34	we	we	PRON
ejpam-6643	306	35	have	have	VERB
ejpam-6643	306	36	(	(	PUNCT
ejpam-6643	306	37	t	t	PROPN
ejpam-6643	306	38	,	,	PUNCT
ejpam-6643	306	39	h	h	NOUN
ejpam-6643	306	40	)	)	PUNCT
ejpam-6643	306	41	∈	∈	PROPN
ejpam-6643	306	42	b(c2	b(c2	NOUN
ejpam-6643	306	43	)	)	PUNCT
ejpam-6643	306	44	,	,	PUNCT
ejpam-6643	306	45	and	and	CCONJ
ejpam-6643	306	46	every	every	DET
ejpam-6643	306	47	supervertex	supervertex	NOUN
ejpam-6643	306	48	in	in	ADP
ejpam-6643	306	49	a(c1	a(c1	NOUN
ejpam-6643	306	50	)	)	PUNCT
ejpam-6643	306	51	belongs	belong	VERB
ejpam-6643	306	52	to	to	PART
ejpam-6643	306	53	a(c2	a(c2	NOUN
ejpam-6643	306	54	)	)	PUNCT
ejpam-6643	306	55	.	.	PUNCT
ejpam-6643	307	1	in	in	ADP
ejpam-6643	307	2	other	other	ADJ
ejpam-6643	307	3	words	word	NOUN
ejpam-6643	307	4	,	,	PUNCT
ejpam-6643	307	5	the	the	DET
ejpam-6643	307	6	soft	soft	ADJ
ejpam-6643	307	7	sub	sub	ADJ
ejpam-6643	307	8	-	-	ADJ
ejpam-6643	307	9	n	n	CCONJ
ejpam-6643	307	10	-	-	PUNCT
ejpam-6643	307	11	superhypergraph	superhypergraph	NOUN
ejpam-6643	307	12	at	at	ADP
ejpam-6643	307	13	c1	c1	PROPN
ejpam-6643	307	14	is	be	AUX
ejpam-6643	307	15	contained	contain	VERB
ejpam-6643	307	16	in	in	ADP
ejpam-6643	307	17	that	that	PRON
ejpam-6643	307	18	at	at	ADP
ejpam-6643	307	19	c2	c2	PROPN
ejpam-6643	307	20	.	.	PUNCT
ejpam-6643	308	1	proof	proof	NOUN
ejpam-6643	308	2	.	.	PUNCT
ejpam-6643	309	1	by	by	ADP
ejpam-6643	309	2	hypothesis	hypothesis	NOUN
ejpam-6643	309	3	:	:	PUNCT
ejpam-6643	309	4	1	1	X
ejpam-6643	309	5	.	.	X
ejpam-6643	309	6	every	every	DET
ejpam-6643	309	7	v	v	NOUN
ejpam-6643	309	8	∈	∈	PROPN
ejpam-6643	309	9	a(c1	a(c1	NOUN
ejpam-6643	309	10	)	)	PUNCT
ejpam-6643	309	11	also	also	ADV
ejpam-6643	309	12	lies	lie	VERB
ejpam-6643	309	13	in	in	ADP
ejpam-6643	309	14	a(c2	a(c2	NUM
ejpam-6643	309	15	)	)	PUNCT
ejpam-6643	309	16	.	.	PUNCT
ejpam-6643	310	1	2	2	X
ejpam-6643	310	2	.	.	X
ejpam-6643	310	3	every	every	PRON
ejpam-6643	310	4	(	(	PUNCT
ejpam-6643	310	5	t	t	PROPN
ejpam-6643	310	6	,	,	PUNCT
ejpam-6643	310	7	h	h	NOUN
ejpam-6643	310	8	)	)	PUNCT
ejpam-6643	310	9	∈	∈	PROPN
ejpam-6643	310	10	b(c1	b(c1	PROPN
ejpam-6643	310	11	)	)	PUNCT
ejpam-6643	310	12	satisfies	satisfy	VERB
ejpam-6643	310	13	t	t	PROPN
ejpam-6643	310	14	,	,	PUNCT
ejpam-6643	310	15	h	h	NOUN
ejpam-6643	310	16	⊆	⊆	NUM
ejpam-6643	310	17	a(c1	a(c1	NOUN
ejpam-6643	310	18	)	)	PUNCT
ejpam-6643	310	19	⊆	⊆	NUM
ejpam-6643	310	20	a(c2	a(c2	NUM
ejpam-6643	310	21	)	)	PUNCT
ejpam-6643	310	22	,	,	PUNCT
ejpam-6643	310	23	so	so	CCONJ
ejpam-6643	310	24	(	(	PUNCT
ejpam-6643	310	25	t	t	PROPN
ejpam-6643	310	26	,	,	PUNCT
ejpam-6643	310	27	h	h	NOUN
ejpam-6643	310	28	)	)	PUNCT
ejpam-6643	310	29	is	be	AUX
ejpam-6643	310	30	a	a	DET
ejpam-6643	310	31	valid	valid	ADJ
ejpam-6643	310	32	element	element	NOUN
ejpam-6643	310	33	of	of	ADP
ejpam-6643	310	34	b(c2	b(c2	NOUN
ejpam-6643	310	35	)	)	PUNCT
ejpam-6643	310	36	.	.	PUNCT
ejpam-6643	311	1	therefore	therefore	ADV
ejpam-6643	311	2	the	the	DET
ejpam-6643	311	3	inclusion	inclusion	NOUN
ejpam-6643	311	4	of	of	ADP
ejpam-6643	311	5	soft	soft	ADJ
ejpam-6643	311	6	selections	selection	NOUN
ejpam-6643	311	7	is	be	AUX
ejpam-6643	311	8	preserved	preserve	VERB
ejpam-6643	311	9	,	,	PUNCT
ejpam-6643	311	10	and	and	CCONJ
ejpam-6643	311	11	the	the	DET
ejpam-6643	311	12	theorem	theorem	NOUN
ejpam-6643	311	13	follows	follow	VERB
ejpam-6643	311	14	immediately	immediately	ADV
ejpam-6643	311	15	.	.	PUNCT
ejpam-6643	312	1	theorem	theorem	VERB
ejpam-6643	312	2	7	7	NUM
ejpam-6643	312	3	(	(	PUNCT
ejpam-6643	312	4	intersection	intersection	NOUN
ejpam-6643	312	5	closure	closure	NOUN
ejpam-6643	312	6	)	)	PUNCT
ejpam-6643	312	7	.	.	PUNCT
ejpam-6643	313	1	let	let	VERB
ejpam-6643	313	2	(	(	PUNCT
ejpam-6643	313	3	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	313	4	)	)	PUNCT
ejpam-6643	313	5	,	,	PUNCT
ejpam-6643	313	6	c	c	X
ejpam-6643	313	7	,	,	PUNCT
ejpam-6643	313	8	a	a	DET
ejpam-6643	313	9	,	,	PUNCT
ejpam-6643	313	10	b	b	NOUN
ejpam-6643	313	11	)	)	PUNCT
ejpam-6643	313	12	be	be	AUX
ejpam-6643	313	13	a	a	DET
ejpam-6643	313	14	soft	soft	ADJ
ejpam-6643	313	15	directed	direct	VERB
ejpam-6643	313	16	n	n	CCONJ
ejpam-6643	313	17	-	-	PUNCT
ejpam-6643	313	18	superhypergraph	superhypergraph	NOUN
ejpam-6643	313	19	.	.	PUNCT
ejpam-6643	314	1	for	for	ADP
ejpam-6643	314	2	any	any	DET
ejpam-6643	314	3	two	two	NUM
ejpam-6643	314	4	parameters	parameter	NOUN
ejpam-6643	314	5	c1	c1	NOUN
ejpam-6643	314	6	,	,	PUNCT
ejpam-6643	314	7	c2	c2	PROPN
ejpam-6643	314	8	∈	∈	PROPN
ejpam-6643	314	9	c	c	AUX
ejpam-6643	314	10	,	,	PUNCT
ejpam-6643	314	11	define	define	VERB
ejpam-6643	314	12	a∧	a∧	NOUN
ejpam-6643	314	13	=	=	SYM
ejpam-6643	314	14	a(c1	a(c1	NOUN
ejpam-6643	314	15	)	)	PUNCT
ejpam-6643	314	16	∩	∩	NOUN
ejpam-6643	314	17	a(c2	a(c2	VERB
ejpam-6643	314	18	)	)	PUNCT
ejpam-6643	314	19	,	,	PUNCT
ejpam-6643	314	20	b∧	b∧	PROPN
ejpam-6643	314	21	=	=	SYM
ejpam-6643	314	22	b(c1	b(c1	PROPN
ejpam-6643	314	23	)	)	PUNCT
ejpam-6643	314	24	∩	∩	NOUN
ejpam-6643	314	25	b(c2	b(c2	NOUN
ejpam-6643	314	26	)	)	PUNCT
ejpam-6643	314	27	.	.	PUNCT
ejpam-6643	315	1	then	then	ADV
ejpam-6643	315	2	the	the	DET
ejpam-6643	315	3	pair	pair	NOUN
ejpam-6643	315	4	(	(	PUNCT
ejpam-6643	315	5	a∧	a∧	NOUN
ejpam-6643	315	6	,	,	PUNCT
ejpam-6643	315	7	b∧	b∧	NOUN
ejpam-6643	315	8	)	)	PUNCT
ejpam-6643	315	9	satisfies	satisfy	VERB
ejpam-6643	315	10	b∧	b∧	NOUN
ejpam-6643	315	11	⊆	⊆	NUM
ejpam-6643	315	12	{	{	PUNCT
ejpam-6643	315	13	e	e	NOUN
ejpam-6643	315	14	∈	∈	PROPN
ejpam-6643	315	15	e	e	NOUN
ejpam-6643	315	16	:	:	PUNCT
ejpam-6643	315	17	tail(e	tail(e	VERB
ejpam-6643	315	18	)	)	PUNCT
ejpam-6643	315	19	⊆	⊆	NUM
ejpam-6643	315	20	a∧	a∧	NOUN
ejpam-6643	315	21	,	,	PUNCT
ejpam-6643	315	22	head(e	head(e	PROPN
ejpam-6643	315	23	)	)	PUNCT
ejpam-6643	315	24	⊆	⊆	NUM
ejpam-6643	315	25	a∧	a∧	NOUN
ejpam-6643	315	26	}	}	PUNCT
ejpam-6643	315	27	,	,	PUNCT
ejpam-6643	315	28	so	so	CCONJ
ejpam-6643	315	29	(	(	PUNCT
ejpam-6643	315	30	a∧	a∧	NOUN
ejpam-6643	315	31	,	,	PUNCT
ejpam-6643	315	32	b∧	b∧	NOUN
ejpam-6643	315	33	)	)	PUNCT
ejpam-6643	315	34	is	be	AUX
ejpam-6643	315	35	itself	itself	PRON
ejpam-6643	315	36	a	a	DET
ejpam-6643	315	37	valid	valid	ADJ
ejpam-6643	315	38	soft	soft	ADJ
ejpam-6643	315	39	induced	induced	ADJ
ejpam-6643	315	40	sub	sub	ADJ
ejpam-6643	315	41	–	–	PUNCT
ejpam-6643	315	42	n	n	CCONJ
ejpam-6643	315	43	-	-	PUNCT
ejpam-6643	315	44	superhypergraph	superhypergraph	NOUN
ejpam-6643	315	45	.	.	PUNCT
ejpam-6643	316	1	t.	t.	PROPN
ejpam-6643	316	2	fujita	fujita	PROPN
ejpam-6643	316	3	,	,	PUNCT
ejpam-6643	316	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	316	5	/	/	SYM
ejpam-6643	316	6	eur	eur	PROPN
ejpam-6643	316	7	.	.	PUNCT
ejpam-6643	317	1	j.	j.	PROPN
ejpam-6643	317	2	pure	pure	PROPN
ejpam-6643	317	3	appl	appl	PROPN
ejpam-6643	317	4	.	.	PROPN
ejpam-6643	317	5	math	math	PROPN
ejpam-6643	317	6	,	,	PUNCT
ejpam-6643	317	7	18	18	NUM
ejpam-6643	317	8	(	(	PUNCT
ejpam-6643	317	9	4	4	NUM
ejpam-6643	317	10	)	)	PUNCT
ejpam-6643	317	11	(	(	PUNCT
ejpam-6643	317	12	2025	2025	NUM
ejpam-6643	317	13	)	)	PUNCT
ejpam-6643	317	14	,	,	PUNCT
ejpam-6643	317	15	6643	6643	NUM
ejpam-6643	317	16	18	18	NUM
ejpam-6643	317	17	of	of	ADP
ejpam-6643	317	18	27	27	NUM
ejpam-6643	317	19	proof	proof	NOUN
ejpam-6643	317	20	.	.	PUNCT
ejpam-6643	318	1	by	by	ADP
ejpam-6643	318	2	definition	definition	NOUN
ejpam-6643	318	3	of	of	ADP
ejpam-6643	318	4	a	a	DET
ejpam-6643	318	5	soft	soft	ADJ
ejpam-6643	318	6	directed	direct	VERB
ejpam-6643	318	7	n	n	CCONJ
ejpam-6643	318	8	-	-	PUNCT
ejpam-6643	318	9	superhypergraph	superhypergraph	NOUN
ejpam-6643	318	10	,	,	PUNCT
ejpam-6643	318	11	for	for	ADP
ejpam-6643	318	12	each	each	DET
ejpam-6643	318	13	i	i	NOUN
ejpam-6643	318	14	=	=	NOUN
ejpam-6643	318	15	1	1	NUM
ejpam-6643	318	16	,	,	PUNCT
ejpam-6643	318	17	2	2	NUM
ejpam-6643	318	18	,	,	PUNCT
ejpam-6643	318	19	b(ci	b(ci	NUM
ejpam-6643	318	20	)	)	PUNCT
ejpam-6643	318	21	⊆	⊆	NUM
ejpam-6643	318	22	{	{	PUNCT
ejpam-6643	318	23	e	e	NOUN
ejpam-6643	318	24	∈	∈	PROPN
ejpam-6643	318	25	e	e	NOUN
ejpam-6643	318	26	:	:	PUNCT
ejpam-6643	318	27	tail(e	tail(e	VERB
ejpam-6643	318	28	)	)	PUNCT
ejpam-6643	318	29	⊆	⊆	NUM
ejpam-6643	318	30	a(ci	a(ci	NUM
ejpam-6643	318	31	)	)	PUNCT
ejpam-6643	318	32	,	,	PUNCT
ejpam-6643	318	33	head(e	head(e	PROPN
ejpam-6643	318	34	)	)	PUNCT
ejpam-6643	318	35	⊆	⊆	NUM
ejpam-6643	318	36	a(ci	a(ci	NUM
ejpam-6643	318	37	)	)	PUNCT
ejpam-6643	318	38	}	}	PUNCT
ejpam-6643	318	39	.	.	PUNCT
ejpam-6643	319	1	hence	hence	ADV
ejpam-6643	319	2	any	any	DET
ejpam-6643	319	3	e	e	NOUN
ejpam-6643	319	4	∈	∈	NOUN
ejpam-6643	319	5	b∧	b∧	NOUN
ejpam-6643	319	6	=	=	SYM
ejpam-6643	319	7	b(c1	b(c1	PROPN
ejpam-6643	319	8	)	)	PUNCT
ejpam-6643	319	9	∩b(c2	∩b(c2	PROPN
ejpam-6643	319	10	)	)	PUNCT
ejpam-6643	319	11	satisfies	satisfie	NOUN
ejpam-6643	319	12	tail(e	tail(e	PROPN
ejpam-6643	319	13	)	)	PUNCT
ejpam-6643	319	14	⊆	⊆	NUM
ejpam-6643	319	15	a(c1	a(c1	NOUN
ejpam-6643	319	16	)	)	PUNCT
ejpam-6643	319	17	and	and	CCONJ
ejpam-6643	319	18	tail(e	tail(e	NOUN
ejpam-6643	319	19	)	)	PUNCT
ejpam-6643	319	20	⊆	⊆	NUM
ejpam-6643	319	21	a(c2	a(c2	NUM
ejpam-6643	319	22	)	)	PUNCT
ejpam-6643	319	23	,	,	PUNCT
ejpam-6643	320	1	so	so	ADV
ejpam-6643	320	2	tail(e	tail(e	PROPN
ejpam-6643	320	3	)	)	PUNCT
ejpam-6643	320	4	⊆	⊆	NUM
ejpam-6643	320	5	a(c1	a(c1	NOUN
ejpam-6643	320	6	)	)	PUNCT
ejpam-6643	320	7	∩	∩	NOUN
ejpam-6643	320	8	a(c2	a(c2	VERB
ejpam-6643	320	9	)	)	PUNCT
ejpam-6643	320	10	=	=	SYM
ejpam-6643	320	11	a∧.	a∧.	X
ejpam-6643	320	12	an	an	DET
ejpam-6643	320	13	identical	identical	ADJ
ejpam-6643	320	14	argument	argument	NOUN
ejpam-6643	320	15	applies	apply	VERB
ejpam-6643	320	16	to	to	ADP
ejpam-6643	320	17	head(e	head(e	PROPN
ejpam-6643	320	18	)	)	PUNCT
ejpam-6643	320	19	.	.	PUNCT
ejpam-6643	321	1	therefore	therefore	ADV
ejpam-6643	321	2	e	e	PROPN
ejpam-6643	321	3	lies	lie	VERB
ejpam-6643	321	4	in	in	ADP
ejpam-6643	321	5	{	{	PUNCT
ejpam-6643	321	6	e	e	PROPN
ejpam-6643	321	7	∈	∈	PROPN
ejpam-6643	321	8	e	e	NOUN
ejpam-6643	321	9	:	:	PUNCT
ejpam-6643	321	10	tail(e	tail(e	VERB
ejpam-6643	321	11	)	)	PUNCT
ejpam-6643	321	12	⊆	⊆	NUM
ejpam-6643	321	13	a∧,head(e	a∧,head(e	NOUN
ejpam-6643	321	14	)	)	PUNCT
ejpam-6643	321	15	⊆	⊆	NUM
ejpam-6643	321	16	a∧	a∧	NOUN
ejpam-6643	321	17	}	}	PUNCT
ejpam-6643	321	18	,	,	PUNCT
ejpam-6643	321	19	establishing	establish	VERB
ejpam-6643	321	20	the	the	DET
ejpam-6643	321	21	claimed	claim	VERB
ejpam-6643	321	22	inclusion	inclusion	NOUN
ejpam-6643	321	23	.	.	PUNCT
ejpam-6643	322	1	theorem	theorem	ADJ
ejpam-6643	322	2	8	8	NUM
ejpam-6643	322	3	(	(	PUNCT
ejpam-6643	322	4	union	union	NOUN
ejpam-6643	322	5	closure	closure	NOUN
ejpam-6643	322	6	)	)	PUNCT
ejpam-6643	322	7	.	.	PUNCT
ejpam-6643	323	1	with	with	ADP
ejpam-6643	323	2	the	the	DET
ejpam-6643	323	3	same	same	ADJ
ejpam-6643	323	4	notation	notation	NOUN
ejpam-6643	323	5	,	,	PUNCT
ejpam-6643	323	6	define	define	VERB
ejpam-6643	323	7	a∨	a∨	PROPN
ejpam-6643	323	8	=	=	SYM
ejpam-6643	323	9	a(c1	a(c1	NOUN
ejpam-6643	323	10	)	)	PUNCT
ejpam-6643	323	11	∪	∪	NOUN
ejpam-6643	323	12	a(c2	a(c2	VERB
ejpam-6643	323	13	)	)	PUNCT
ejpam-6643	323	14	,	,	PUNCT
ejpam-6643	323	15	b∨	b∨	PROPN
ejpam-6643	323	16	=	=	PUNCT
ejpam-6643	323	17	b(c1	b(c1	PROPN
ejpam-6643	323	18	)	)	PUNCT
ejpam-6643	323	19	∪	∪	ADJ
ejpam-6643	323	20	b(c2	b(c2	NOUN
ejpam-6643	323	21	)	)	PUNCT
ejpam-6643	323	22	.	.	PUNCT
ejpam-6643	324	1	then	then	ADV
ejpam-6643	324	2	every	every	DET
ejpam-6643	324	3	e	e	PROPN
ejpam-6643	324	4	∈	∈	PROPN
ejpam-6643	324	5	b∨	b∨	PROPN
ejpam-6643	324	6	satisfies	satisfie	NOUN
ejpam-6643	324	7	tail(e	tail(e	PROPN
ejpam-6643	324	8	)	)	PUNCT
ejpam-6643	325	1	⊆	⊆	NUM
ejpam-6643	325	2	a∨	a∨	PROPN
ejpam-6643	325	3	,	,	PUNCT
ejpam-6643	325	4	head(e	head(e	PROPN
ejpam-6643	325	5	)	)	PUNCT
ejpam-6643	325	6	⊆	⊆	NUM
ejpam-6643	325	7	a∨	a∨	PROPN
ejpam-6643	325	8	,	,	PUNCT
ejpam-6643	325	9	so	so	ADV
ejpam-6643	325	10	(	(	PUNCT
ejpam-6643	325	11	a∨	a∨	PROPN
ejpam-6643	325	12	,	,	PUNCT
ejpam-6643	325	13	b∨	b∨	PROPN
ejpam-6643	325	14	)	)	PUNCT
ejpam-6643	325	15	also	also	ADV
ejpam-6643	325	16	defines	define	VERB
ejpam-6643	325	17	a	a	DET
ejpam-6643	325	18	soft	soft	ADJ
ejpam-6643	325	19	induced	induced	ADJ
ejpam-6643	325	20	sub	sub	ADJ
ejpam-6643	325	21	–	–	PUNCT
ejpam-6643	325	22	n	n	CCONJ
ejpam-6643	325	23	-	-	PUNCT
ejpam-6643	325	24	superhypergraph	superhypergraph	NOUN
ejpam-6643	325	25	.	.	PUNCT
ejpam-6643	326	1	proof	proof	NOUN
ejpam-6643	326	2	.	.	PUNCT
ejpam-6643	327	1	take	take	VERB
ejpam-6643	327	2	any	any	DET
ejpam-6643	327	3	hyperedge	hyperedge	NOUN
ejpam-6643	327	4	e	e	X
ejpam-6643	327	5	∈	∈	NOUN
ejpam-6643	328	1	b∨.	b∨.	PROPN
ejpam-6643	328	2	by	by	ADP
ejpam-6643	328	3	definition	definition	NOUN
ejpam-6643	328	4	,	,	PUNCT
ejpam-6643	328	5	e	e	PRON
ejpam-6643	328	6	belongs	belong	VERB
ejpam-6643	328	7	either	either	CCONJ
ejpam-6643	328	8	to	to	PART
ejpam-6643	328	9	b(c1	b(c1	PROPN
ejpam-6643	328	10	)	)	PUNCT
ejpam-6643	328	11	or	or	CCONJ
ejpam-6643	328	12	to	to	PART
ejpam-6643	328	13	b(c2	b(c2	VERB
ejpam-6643	328	14	)	)	PUNCT
ejpam-6643	328	15	.	.	PUNCT
ejpam-6643	329	1	if	if	SCONJ
ejpam-6643	329	2	e	e	PROPN
ejpam-6643	329	3	∈	∈	PROPN
ejpam-6643	329	4	b(c1	b(c1	PROPN
ejpam-6643	329	5	)	)	PUNCT
ejpam-6643	329	6	,	,	PUNCT
ejpam-6643	329	7	then	then	ADV
ejpam-6643	329	8	tail(e	tail(e	VERB
ejpam-6643	329	9	)	)	PUNCT
ejpam-6643	329	10	⊆	⊆	NUM
ejpam-6643	329	11	a(c1	a(c1	NOUN
ejpam-6643	329	12	)	)	PUNCT
ejpam-6643	329	13	⊆	⊆	NUM
ejpam-6643	329	14	a(c1)∪a(c2	a(c1)∪a(c2	ADJ
ejpam-6643	329	15	)	)	PUNCT
ejpam-6643	329	16	=	=	SYM
ejpam-6643	329	17	a∨	a∨	PROPN
ejpam-6643	329	18	,	,	PUNCT
ejpam-6643	329	19	and	and	CCONJ
ejpam-6643	329	20	similarly	similarly	ADV
ejpam-6643	329	21	head(e	head(e	PROPN
ejpam-6643	329	22	)	)	PUNCT
ejpam-6643	330	1	⊆	⊆	NUM
ejpam-6643	330	2	a∨.	a∨.	NOUN
ejpam-6643	330	3	if	if	SCONJ
ejpam-6643	330	4	e	e	PROPN
ejpam-6643	330	5	∈	∈	PROPN
ejpam-6643	330	6	b(c2	b(c2	NOUN
ejpam-6643	330	7	)	)	PUNCT
ejpam-6643	330	8	,	,	PUNCT
ejpam-6643	330	9	the	the	DET
ejpam-6643	330	10	same	same	ADJ
ejpam-6643	330	11	argument	argument	NOUN
ejpam-6643	330	12	shows	show	VERB
ejpam-6643	330	13	tail(e	tail(e	NOUN
ejpam-6643	330	14	)	)	PUNCT
ejpam-6643	330	15	⊆	⊆	NUM
ejpam-6643	330	16	a∨	a∨	PROPN
ejpam-6643	330	17	and	and	CCONJ
ejpam-6643	330	18	head(e	head(e	PROPN
ejpam-6643	330	19	)	)	PUNCT
ejpam-6643	330	20	⊆	⊆	NUM
ejpam-6643	330	21	a∨.	a∨.	NOUN
ejpam-6643	330	22	in	in	ADP
ejpam-6643	330	23	either	either	DET
ejpam-6643	330	24	case	case	NOUN
ejpam-6643	330	25	,	,	PUNCT
ejpam-6643	330	26	e	e	X
ejpam-6643	330	27	lies	lie	VERB
ejpam-6643	330	28	in	in	ADP
ejpam-6643	330	29	the	the	DET
ejpam-6643	330	30	set	set	NOUN
ejpam-6643	330	31	of	of	ADP
ejpam-6643	330	32	directed	direct	VERB
ejpam-6643	330	33	n	n	CCONJ
ejpam-6643	330	34	-	-	PUNCT
ejpam-6643	330	35	superedges	superedge	NOUN
ejpam-6643	330	36	whose	whose	DET
ejpam-6643	330	37	tail	tail	NOUN
ejpam-6643	330	38	and	and	CCONJ
ejpam-6643	330	39	head	head	NOUN
ejpam-6643	330	40	both	both	DET
ejpam-6643	330	41	lie	lie	VERB
ejpam-6643	330	42	inside	inside	ADV
ejpam-6643	330	43	a∨.	a∨.	VERB
ejpam-6643	330	44	consequently	consequently	ADV
ejpam-6643	330	45	,	,	PUNCT
ejpam-6643	330	46	b∨	b∨	PROPN
ejpam-6643	330	47	⊆	⊆	X
ejpam-6643	330	48	{	{	PUNCT
ejpam-6643	330	49	e	e	PROPN
ejpam-6643	330	50	∈	∈	PROPN
ejpam-6643	330	51	e	e	NOUN
ejpam-6643	330	52	:	:	PUNCT
ejpam-6643	330	53	tail(e	tail(e	VERB
ejpam-6643	330	54	)	)	PUNCT
ejpam-6643	330	55	⊆	⊆	PROPN
ejpam-6643	330	56	a∨	a∨	PROPN
ejpam-6643	330	57	,	,	PUNCT
ejpam-6643	330	58	head(e	head(e	PROPN
ejpam-6643	330	59	)	)	PUNCT
ejpam-6643	330	60	⊆	⊆	NUM
ejpam-6643	330	61	a∨	a∨	PROPN
ejpam-6643	330	62	}	}	PUNCT
ejpam-6643	330	63	,	,	PUNCT
ejpam-6643	330	64	as	as	SCONJ
ejpam-6643	330	65	required	require	VERB
ejpam-6643	330	66	.	.	PUNCT
ejpam-6643	331	1	theorem	theorem	ADJ
ejpam-6643	331	2	9	9	NUM
ejpam-6643	331	3	(	(	PUNCT
ejpam-6643	331	4	lattice	lattice	NOUN
ejpam-6643	331	5	structure	structure	NOUN
ejpam-6643	331	6	of	of	ADP
ejpam-6643	331	7	soft	soft	ADJ
ejpam-6643	331	8	selections	selection	NOUN
ejpam-6643	331	9	)	)	PUNCT
ejpam-6643	331	10	.	.	PUNCT
ejpam-6643	332	1	the	the	DET
ejpam-6643	332	2	collection	collection	NOUN
ejpam-6643	332	3	of	of	ADP
ejpam-6643	332	4	pairs	pair	NOUN
ejpam-6643	332	5	{	{	PUNCT
ejpam-6643	332	6	(	(	PUNCT
ejpam-6643	332	7	a(c	a(c	PROPN
ejpam-6643	332	8	)	)	PUNCT
ejpam-6643	332	9	,	,	PUNCT
ejpam-6643	332	10	b(c	b(c	NOUN
ejpam-6643	332	11	)	)	PUNCT
ejpam-6643	332	12	)	)	PUNCT
ejpam-6643	332	13	:	:	PUNCT
ejpam-6643	333	1	c	c	X
ejpam-6643	333	2	∈	∈	PROPN
ejpam-6643	333	3	c	c	X
ejpam-6643	333	4	}	}	PUNCT
ejpam-6643	333	5	,	,	PUNCT
ejpam-6643	333	6	ordered	order	VERB
ejpam-6643	333	7	by	by	ADP
ejpam-6643	333	8	(	(	PUNCT
ejpam-6643	333	9	a1	a1	PROPN
ejpam-6643	333	10	,	,	PUNCT
ejpam-6643	333	11	b1	b1	NOUN
ejpam-6643	333	12	)	)	PUNCT
ejpam-6643	333	13	⪯	⪯	PROPN
ejpam-6643	333	14	(	(	PUNCT
ejpam-6643	333	15	a2	a2	PROPN
ejpam-6643	333	16	,	,	PUNCT
ejpam-6643	333	17	b2	b2	NOUN
ejpam-6643	333	18	)	)	PUNCT
ejpam-6643	333	19	⇐	⇐	ADJ
ejpam-6643	333	20	⇒	⇒	NOUN
ejpam-6643	333	21	a1	a1	VERB
ejpam-6643	333	22	⊆	⊆	NUM
ejpam-6643	333	23	a2	a2	PROPN
ejpam-6643	333	24	and	and	CCONJ
ejpam-6643	333	25	b1	b1	NOUN
ejpam-6643	333	26	⊆	⊆	NUM
ejpam-6643	333	27	b2	b2	NOUN
ejpam-6643	333	28	,	,	PUNCT
ejpam-6643	333	29	forms	form	VERB
ejpam-6643	333	30	a	a	DET
ejpam-6643	333	31	bounded	bounded	ADJ
ejpam-6643	333	32	lattice	lattice	NOUN
ejpam-6643	333	33	under	under	ADP
ejpam-6643	333	34	the	the	DET
ejpam-6643	333	35	meet	meet	NOUN
ejpam-6643	333	36	(	(	PUNCT
ejpam-6643	333	37	∩,∩	∩,∩	NOUN
ejpam-6643	333	38	)	)	PUNCT
ejpam-6643	333	39	and	and	CCONJ
ejpam-6643	333	40	join	join	VERB
ejpam-6643	333	41	(	(	PUNCT
ejpam-6643	333	42	∪,∪	∪,∪	ADJ
ejpam-6643	333	43	)	)	PUNCT
ejpam-6643	333	44	operations	operation	NOUN
ejpam-6643	333	45	defined	define	VERB
ejpam-6643	333	46	above	above	ADV
ejpam-6643	333	47	.	.	PUNCT
ejpam-6643	334	1	proof	proof	NOUN
ejpam-6643	334	2	.	.	PUNCT
ejpam-6643	335	1	we	we	PRON
ejpam-6643	335	2	must	must	AUX
ejpam-6643	335	3	show	show	VERB
ejpam-6643	335	4	that	that	SCONJ
ejpam-6643	335	5	any	any	DET
ejpam-6643	335	6	two	two	NUM
ejpam-6643	335	7	elements	element	NOUN
ejpam-6643	335	8	(	(	PUNCT
ejpam-6643	335	9	a(c1	a(c1	NOUN
ejpam-6643	335	10	)	)	PUNCT
ejpam-6643	335	11	,	,	PUNCT
ejpam-6643	335	12	b(c1	b(c1	PROPN
ejpam-6643	335	13	)	)	PUNCT
ejpam-6643	335	14	)	)	PUNCT
ejpam-6643	335	15	and	and	CCONJ
ejpam-6643	335	16	(	(	PUNCT
ejpam-6643	335	17	a(c2	a(c2	VERB
ejpam-6643	335	18	)	)	PUNCT
ejpam-6643	335	19	,	,	PUNCT
ejpam-6643	335	20	b(c2	b(c2	NOUN
ejpam-6643	335	21	)	)	PUNCT
ejpam-6643	335	22	)	)	PUNCT
ejpam-6643	335	23	have	have	VERB
ejpam-6643	335	24	a	a	DET
ejpam-6643	335	25	greatest	greatest	ADV
ejpam-6643	335	26	lower	lower	ADV
ejpam-6643	335	27	bound	bind	VERB
ejpam-6643	335	28	(	(	PUNCT
ejpam-6643	335	29	meet	meet	NOUN
ejpam-6643	335	30	)	)	PUNCT
ejpam-6643	335	31	and	and	CCONJ
ejpam-6643	335	32	a	a	DET
ejpam-6643	335	33	least	least	ADV
ejpam-6643	335	34	upper	upper	ADJ
ejpam-6643	335	35	bound	bind	VERB
ejpam-6643	335	36	(	(	PUNCT
ejpam-6643	335	37	join	join	NOUN
ejpam-6643	335	38	)	)	PUNCT
ejpam-6643	335	39	with	with	ADP
ejpam-6643	335	40	respect	respect	NOUN
ejpam-6643	335	41	to	to	ADP
ejpam-6643	335	42	⪯.	⪯.	NOUN
ejpam-6643	335	43	meet	meet	VERB
ejpam-6643	335	44	.	.	PUNCT
ejpam-6643	336	1	by	by	ADP
ejpam-6643	336	2	theorem	theorem	NOUN
ejpam-6643	336	3	7	7	NUM
ejpam-6643	336	4	,	,	PUNCT
ejpam-6643	336	5	(	(	PUNCT
ejpam-6643	336	6	a(c1	a(c1	NOUN
ejpam-6643	336	7	)	)	PUNCT
ejpam-6643	336	8	∩a(c2	∩a(c2	PROPN
ejpam-6643	336	9	)	)	PUNCT
ejpam-6643	336	10	,	,	PUNCT
ejpam-6643	336	11	b(c1	b(c1	PROPN
ejpam-6643	336	12	)	)	PUNCT
ejpam-6643	336	13	∩b(c2	∩b(c2	PROPN
ejpam-6643	336	14	)	)	PUNCT
ejpam-6643	336	15	)	)	PUNCT
ejpam-6643	336	16	is	be	AUX
ejpam-6643	336	17	a	a	DET
ejpam-6643	336	18	valid	valid	ADJ
ejpam-6643	336	19	soft	soft	ADJ
ejpam-6643	336	20	substructure	substructure	NOUN
ejpam-6643	336	21	,	,	PUNCT
ejpam-6643	336	22	and	and	CCONJ
ejpam-6643	336	23	clearly	clearly	ADV
ejpam-6643	336	24	it	it	PRON
ejpam-6643	336	25	is	be	AUX
ejpam-6643	336	26	the	the	DET
ejpam-6643	336	27	largest	large	ADJ
ejpam-6643	336	28	pair	pair	NOUN
ejpam-6643	336	29	below	below	ADP
ejpam-6643	336	30	both	both	DET
ejpam-6643	336	31	(	(	PUNCT
ejpam-6643	336	32	a(c1	a(c1	NOUN
ejpam-6643	336	33	)	)	PUNCT
ejpam-6643	336	34	,	,	PUNCT
ejpam-6643	336	35	b(c1	b(c1	PROPN
ejpam-6643	336	36	)	)	PUNCT
ejpam-6643	336	37	)	)	PUNCT
ejpam-6643	336	38	and	and	CCONJ
ejpam-6643	336	39	(	(	PUNCT
ejpam-6643	336	40	a(c2	a(c2	VERB
ejpam-6643	336	41	)	)	PUNCT
ejpam-6643	336	42	,	,	PUNCT
ejpam-6643	336	43	b(c2	b(c2	NOUN
ejpam-6643	336	44	)	)	PUNCT
ejpam-6643	336	45	)	)	PUNCT
ejpam-6643	336	46	.	.	PUNCT
ejpam-6643	337	1	t.	t.	PROPN
ejpam-6643	337	2	fujita	fujita	PROPN
ejpam-6643	337	3	,	,	PUNCT
ejpam-6643	337	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	337	5	/	/	SYM
ejpam-6643	337	6	eur	eur	PROPN
ejpam-6643	337	7	.	.	PUNCT
ejpam-6643	338	1	j.	j.	PROPN
ejpam-6643	338	2	pure	pure	PROPN
ejpam-6643	338	3	appl	appl	PROPN
ejpam-6643	338	4	.	.	PROPN
ejpam-6643	338	5	math	math	PROPN
ejpam-6643	338	6	,	,	PUNCT
ejpam-6643	338	7	18	18	NUM
ejpam-6643	338	8	(	(	PUNCT
ejpam-6643	338	9	4	4	NUM
ejpam-6643	338	10	)	)	PUNCT
ejpam-6643	338	11	(	(	PUNCT
ejpam-6643	338	12	2025	2025	NUM
ejpam-6643	338	13	)	)	PUNCT
ejpam-6643	338	14	,	,	PUNCT
ejpam-6643	338	15	6643	6643	NUM
ejpam-6643	338	16	19	19	NUM
ejpam-6643	338	17	of	of	ADP
ejpam-6643	338	18	27	27	NUM
ejpam-6643	338	19	join	join	NOUN
ejpam-6643	338	20	.	.	PUNCT
ejpam-6643	339	1	by	by	ADP
ejpam-6643	339	2	theorem	theorem	NOUN
ejpam-6643	339	3	8	8	NUM
ejpam-6643	339	4	,	,	PUNCT
ejpam-6643	339	5	(	(	PUNCT
ejpam-6643	339	6	a(c1	a(c1	NOUN
ejpam-6643	339	7	)	)	PUNCT
ejpam-6643	339	8	∪a(c2	∪a(c2	NOUN
ejpam-6643	339	9	)	)	PUNCT
ejpam-6643	339	10	,	,	PUNCT
ejpam-6643	339	11	b(c1	b(c1	PROPN
ejpam-6643	339	12	)	)	PUNCT
ejpam-6643	339	13	∪b(c2	∪b(c2	PROPN
ejpam-6643	339	14	)	)	PUNCT
ejpam-6643	339	15	)	)	PUNCT
ejpam-6643	339	16	is	be	AUX
ejpam-6643	339	17	valid	valid	ADJ
ejpam-6643	339	18	,	,	PUNCT
ejpam-6643	339	19	and	and	CCONJ
ejpam-6643	339	20	it	it	PRON
ejpam-6643	339	21	is	be	AUX
ejpam-6643	339	22	the	the	DET
ejpam-6643	339	23	smallest	small	ADJ
ejpam-6643	339	24	pair	pair	NOUN
ejpam-6643	339	25	above	above	ADP
ejpam-6643	339	26	both	both	DET
ejpam-6643	339	27	initial	initial	ADJ
ejpam-6643	339	28	elements	element	NOUN
ejpam-6643	339	29	.	.	PUNCT
ejpam-6643	340	1	bounds	bound	NOUN
ejpam-6643	340	2	.	.	PUNCT
ejpam-6643	341	1	the	the	DET
ejpam-6643	341	2	minimum	minimum	ADJ
ejpam-6643	341	3	element	element	NOUN
ejpam-6643	341	4	is	be	AUX
ejpam-6643	341	5	(	(	PUNCT
ejpam-6643	341	6	∅,∅	∅,∅	PROPN
ejpam-6643	341	7	)	)	PUNCT
ejpam-6643	341	8	,	,	PUNCT
ejpam-6643	341	9	since	since	SCONJ
ejpam-6643	341	10	no	no	DET
ejpam-6643	341	11	edges	edge	NOUN
ejpam-6643	341	12	or	or	CCONJ
ejpam-6643	341	13	vertices	vertex	NOUN
ejpam-6643	341	14	lie	lie	VERB
ejpam-6643	341	15	outside	outside	ADP
ejpam-6643	341	16	the	the	DET
ejpam-6643	341	17	empty	empty	ADJ
ejpam-6643	341	18	set	set	NOUN
ejpam-6643	341	19	.	.	PUNCT
ejpam-6643	342	1	the	the	DET
ejpam-6643	342	2	maximum	maximum	ADJ
ejpam-6643	342	3	element	element	NOUN
ejpam-6643	342	4	is	be	AUX
ejpam-6643	342	5	(	(	PUNCT
ejpam-6643	342	6	v	v	NOUN
ejpam-6643	342	7	,	,	PUNCT
ejpam-6643	342	8	e	e	NOUN
ejpam-6643	342	9	)	)	PUNCT
ejpam-6643	342	10	,	,	PUNCT
ejpam-6643	342	11	the	the	DET
ejpam-6643	342	12	full	full	ADJ
ejpam-6643	342	13	directed	directed	ADJ
ejpam-6643	342	14	n	n	CCONJ
ejpam-6643	342	15	-	-	PUNCT
ejpam-6643	342	16	superhypergraph	superhypergraph	NOUN
ejpam-6643	342	17	.	.	PUNCT
ejpam-6643	343	1	hence	hence	ADV
ejpam-6643	343	2	the	the	DET
ejpam-6643	343	3	family	family	NOUN
ejpam-6643	343	4	forms	form	VERB
ejpam-6643	343	5	a	a	DET
ejpam-6643	343	6	bounded	bounded	ADJ
ejpam-6643	343	7	lattice	lattice	NOUN
ejpam-6643	343	8	.	.	PUNCT
ejpam-6643	344	1	definition	definition	NOUN
ejpam-6643	344	2	11	11	NUM
ejpam-6643	344	3	(	(	PUNCT
ejpam-6643	344	4	acyclic	acyclic	ADV
ejpam-6643	344	5	directed	direct	VERB
ejpam-6643	344	6	n	n	CCONJ
ejpam-6643	344	7	-	-	PUNCT
ejpam-6643	344	8	superhypergraph	superhypergraph	NOUN
ejpam-6643	344	9	)	)	PUNCT
ejpam-6643	344	10	.	.	PUNCT
ejpam-6643	345	1	a	a	DET
ejpam-6643	345	2	directed	direct	VERB
ejpam-6643	345	3	n	n	CCONJ
ejpam-6643	345	4	-	-	PUNCT
ejpam-6643	345	5	superhypergraph	superhypergraph	NOUN
ejpam-6643	345	6	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	345	7	)	)	PUNCT
ejpam-6643	345	8	=	=	SYM
ejpam-6643	345	9	(	(	PUNCT
ejpam-6643	345	10	v	v	NOUN
ejpam-6643	345	11	,	,	PUNCT
ejpam-6643	345	12	e	e	NOUN
ejpam-6643	345	13	)	)	PUNCT
ejpam-6643	345	14	is	be	AUX
ejpam-6643	345	15	acyclic	acyclic	ADJ
ejpam-6643	345	16	if	if	SCONJ
ejpam-6643	345	17	there	there	PRON
ejpam-6643	345	18	exists	exist	VERB
ejpam-6643	345	19	no	no	DET
ejpam-6643	345	20	finite	finite	ADJ
ejpam-6643	345	21	sequence	sequence	NOUN
ejpam-6643	345	22	of	of	ADP
ejpam-6643	345	23	distinct	distinct	ADJ
ejpam-6643	345	24	hyperedges	hyperedge	NOUN
ejpam-6643	345	25	e1	e1	NOUN
ejpam-6643	345	26	=	=	SYM
ejpam-6643	345	27	(	(	PUNCT
ejpam-6643	345	28	t1	t1	PROPN
ejpam-6643	345	29	,	,	PUNCT
ejpam-6643	345	30	h1	h1	PROPN
ejpam-6643	345	31	)	)	PUNCT
ejpam-6643	345	32	,	,	PUNCT
ejpam-6643	345	33	e2	e2	PROPN
ejpam-6643	345	34	=	=	SYM
ejpam-6643	345	35	(	(	PUNCT
ejpam-6643	345	36	t2	t2	PROPN
ejpam-6643	345	37	,	,	PUNCT
ejpam-6643	345	38	h2	h2	PROPN
ejpam-6643	345	39	)	)	PUNCT
ejpam-6643	345	40	,	,	PUNCT
ejpam-6643	345	41	.	.	PUNCT
ejpam-6643	345	42	.	.	PUNCT
ejpam-6643	346	1	.	.	PUNCT
ejpam-6643	347	1	,	,	PUNCT
ejpam-6643	347	2	ek	ek	PROPN
ejpam-6643	347	3	=	=	SYM
ejpam-6643	347	4	(	(	PUNCT
ejpam-6643	347	5	tk	tk	PROPN
ejpam-6643	347	6	,	,	PUNCT
ejpam-6643	347	7	hk	hk	PROPN
ejpam-6643	347	8	)	)	PUNCT
ejpam-6643	347	9	∈	∈	PROPN
ejpam-6643	347	10	e	e	NOUN
ejpam-6643	347	11	and	and	CCONJ
ejpam-6643	347	12	vertices	vertice	VERB
ejpam-6643	347	13	v0	v0	NOUN
ejpam-6643	347	14	,	,	PUNCT
ejpam-6643	347	15	v1	v1	NOUN
ejpam-6643	347	16	,	,	PUNCT
ejpam-6643	347	17	.	.	PUNCT
ejpam-6643	347	18	.	.	PUNCT
ejpam-6643	348	1	.	.	PUNCT
ejpam-6643	349	1	,	,	PUNCT
ejpam-6643	349	2	vk	vk	NOUN
ejpam-6643	349	3	=	=	SYM
ejpam-6643	349	4	v0	v0	NOUN
ejpam-6643	349	5	∈	∈	PROPN
ejpam-6643	349	6	v	v	ADP
ejpam-6643	349	7	such	such	ADJ
ejpam-6643	349	8	that	that	PRON
ejpam-6643	349	9	for	for	ADP
ejpam-6643	349	10	each	each	DET
ejpam-6643	349	11	i	i	NOUN
ejpam-6643	349	12	=	=	NOUN
ejpam-6643	349	13	1	1	NUM
ejpam-6643	349	14	,	,	PUNCT
ejpam-6643	349	15	.	.	PUNCT
ejpam-6643	349	16	.	.	PUNCT
ejpam-6643	349	17	.	.	PUNCT
ejpam-6643	350	1	,	,	PUNCT
ejpam-6643	350	2	k	k	NOUN
ejpam-6643	350	3	:	:	PUNCT
ejpam-6643	350	4	vi−1	vi−1	PROPN
ejpam-6643	350	5	∈	∈	PROPN
ejpam-6643	350	6	ti	ti	NOUN
ejpam-6643	350	7	and	and	CCONJ
ejpam-6643	350	8	vi	vi	NOUN
ejpam-6643	350	9	∈	∈	PROPN
ejpam-6643	351	1	hi	hi	PROPN
ejpam-6643	351	2	.	.	PUNCT
ejpam-6643	351	3	theorem	theorem	VERB
ejpam-6643	351	4	10	10	NUM
ejpam-6643	351	5	(	(	PUNCT
ejpam-6643	351	6	acyclicity	acyclicity	PROPN
ejpam-6643	351	7	preservation	preservation	NOUN
ejpam-6643	351	8	)	)	PUNCT
ejpam-6643	351	9	.	.	PUNCT
ejpam-6643	352	1	let	let	VERB
ejpam-6643	352	2	(	(	PUNCT
ejpam-6643	352	3	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	352	4	)	)	PUNCT
ejpam-6643	352	5	,	,	PUNCT
ejpam-6643	352	6	c	c	X
ejpam-6643	352	7	,	,	PUNCT
ejpam-6643	352	8	a	a	DET
ejpam-6643	352	9	,	,	PUNCT
ejpam-6643	352	10	b	b	NOUN
ejpam-6643	352	11	)	)	PUNCT
ejpam-6643	352	12	be	be	AUX
ejpam-6643	352	13	a	a	DET
ejpam-6643	352	14	soft	soft	ADJ
ejpam-6643	352	15	directed	direct	VERB
ejpam-6643	352	16	nsuperhypergraph	nsuperhypergraph	NOUN
ejpam-6643	352	17	whose	whose	DET
ejpam-6643	352	18	underlying	underlying	ADJ
ejpam-6643	352	19	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	352	20	)	)	PUNCT
ejpam-6643	352	21	is	be	AUX
ejpam-6643	352	22	acyclic	acyclic	ADJ
ejpam-6643	352	23	.	.	PUNCT
ejpam-6643	353	1	then	then	ADV
ejpam-6643	353	2	for	for	ADP
ejpam-6643	353	3	any	any	DET
ejpam-6643	353	4	parameter	parameter	NOUN
ejpam-6643	353	5	c	c	PROPN
ejpam-6643	353	6	∈	∈	PROPN
ejpam-6643	353	7	c	c	NOUN
ejpam-6643	353	8	,	,	PUNCT
ejpam-6643	353	9	the	the	DET
ejpam-6643	353	10	induced	induce	VERB
ejpam-6643	353	11	soft	soft	ADJ
ejpam-6643	353	12	sub	sub	ADJ
ejpam-6643	353	13	-	-	ADJ
ejpam-6643	353	14	n	n	CCONJ
ejpam-6643	353	15	-	-	PUNCT
ejpam-6643	353	16	superhypergraph	superhypergraph	NOUN
ejpam-6643	353	17	(	(	PUNCT
ejpam-6643	353	18	a(c	a(c	PROPN
ejpam-6643	353	19	)	)	PUNCT
ejpam-6643	353	20	,	,	PUNCT
ejpam-6643	353	21	b(c	b(c	NOUN
ejpam-6643	353	22	)	)	PUNCT
ejpam-6643	353	23	)	)	PUNCT
ejpam-6643	353	24	is	be	AUX
ejpam-6643	353	25	also	also	ADV
ejpam-6643	353	26	acyclic	acyclic	ADJ
ejpam-6643	353	27	.	.	PUNCT
ejpam-6643	354	1	proof	proof	NOUN
ejpam-6643	354	2	.	.	PUNCT
ejpam-6643	355	1	assume	assume	VERB
ejpam-6643	355	2	,	,	PUNCT
ejpam-6643	355	3	for	for	ADP
ejpam-6643	355	4	contradiction	contradiction	NOUN
ejpam-6643	355	5	,	,	PUNCT
ejpam-6643	355	6	that	that	SCONJ
ejpam-6643	355	7	some	some	DET
ejpam-6643	355	8	soft	soft	ADJ
ejpam-6643	355	9	sub	sub	ADJ
ejpam-6643	355	10	-	-	ADJ
ejpam-6643	355	11	n	n	CCONJ
ejpam-6643	355	12	-	-	PUNCT
ejpam-6643	355	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	355	14	(	(	PUNCT
ejpam-6643	355	15	a(c	a(c	PROPN
ejpam-6643	355	16	)	)	PUNCT
ejpam-6643	355	17	,	,	PUNCT
ejpam-6643	355	18	b(c	b(c	NOUN
ejpam-6643	355	19	)	)	PUNCT
ejpam-6643	355	20	)	)	PUNCT
ejpam-6643	355	21	contains	contain	VERB
ejpam-6643	355	22	a	a	DET
ejpam-6643	355	23	directed	direct	VERB
ejpam-6643	355	24	cycle	cycle	NOUN
ejpam-6643	355	25	.	.	PUNCT
ejpam-6643	356	1	then	then	ADV
ejpam-6643	356	2	there	there	PRON
ejpam-6643	356	3	exist	exist	VERB
ejpam-6643	356	4	distinct	distinct	ADJ
ejpam-6643	356	5	edges	edge	NOUN
ejpam-6643	356	6	e1	e1	NOUN
ejpam-6643	356	7	,	,	PUNCT
ejpam-6643	356	8	.	.	PUNCT
ejpam-6643	356	9	.	.	PUNCT
ejpam-6643	357	1	.	.	PUNCT
ejpam-6643	358	1	,	,	PUNCT
ejpam-6643	358	2	ek	ek	PROPN
ejpam-6643	358	3	∈	∈	PROPN
ejpam-6643	358	4	b(c	b(c	PROPN
ejpam-6643	358	5	)	)	PUNCT
ejpam-6643	358	6	and	and	CCONJ
ejpam-6643	358	7	vertices	vertice	VERB
ejpam-6643	358	8	v0	v0	NOUN
ejpam-6643	358	9	,	,	PUNCT
ejpam-6643	358	10	v1	v1	NOUN
ejpam-6643	358	11	,	,	PUNCT
ejpam-6643	358	12	.	.	PUNCT
ejpam-6643	358	13	.	.	PUNCT
ejpam-6643	359	1	.	.	PUNCT
ejpam-6643	360	1	,	,	PUNCT
ejpam-6643	360	2	vk	vk	NOUN
ejpam-6643	360	3	=	=	SYM
ejpam-6643	360	4	v0	v0	NOUN
ejpam-6643	360	5	∈	∈	PROPN
ejpam-6643	360	6	a(c	a(c	PROPN
ejpam-6643	360	7	)	)	PUNCT
ejpam-6643	361	1	with	with	ADP
ejpam-6643	361	2	vi−1	vi−1	PROPN
ejpam-6643	361	3	∈	∈	PROPN
ejpam-6643	361	4	tail(ei	tail(ei	PROPN
ejpam-6643	361	5	)	)	PUNCT
ejpam-6643	361	6	,	,	PUNCT
ejpam-6643	361	7	vi	vi	PROPN
ejpam-6643	361	8	∈	∈	PROPN
ejpam-6643	361	9	head(ei	head(ei	PROPN
ejpam-6643	361	10	)	)	PUNCT
ejpam-6643	361	11	,	,	PUNCT
ejpam-6643	361	12	i	i	PRON
ejpam-6643	361	13	=	=	NOUN
ejpam-6643	361	14	1	1	NUM
ejpam-6643	361	15	,	,	PUNCT
ejpam-6643	361	16	.	.	PUNCT
ejpam-6643	361	17	.	.	PUNCT
ejpam-6643	361	18	.	.	PUNCT
ejpam-6643	362	1	,	,	PUNCT
ejpam-6643	362	2	k.	k.	PROPN
ejpam-6643	362	3	since	since	SCONJ
ejpam-6643	362	4	b(c	b(c	NOUN
ejpam-6643	362	5	)	)	PUNCT
ejpam-6643	362	6	⊆	⊆	NUM
ejpam-6643	362	7	e	e	NOUN
ejpam-6643	362	8	and	and	CCONJ
ejpam-6643	362	9	a(c	a(c	PROPN
ejpam-6643	362	10	)	)	PUNCT
ejpam-6643	362	11	⊆	⊆	NUM
ejpam-6643	362	12	v	v	NOUN
ejpam-6643	362	13	,	,	PUNCT
ejpam-6643	362	14	the	the	DET
ejpam-6643	362	15	same	same	ADJ
ejpam-6643	362	16	sequence	sequence	NOUN
ejpam-6643	362	17	of	of	ADP
ejpam-6643	362	18	edges	edge	NOUN
ejpam-6643	362	19	and	and	CCONJ
ejpam-6643	362	20	vertices	vertice	VERB
ejpam-6643	362	21	witnesses	witness	NOUN
ejpam-6643	362	22	a	a	DET
ejpam-6643	362	23	cycle	cycle	NOUN
ejpam-6643	362	24	in	in	ADP
ejpam-6643	362	25	the	the	DET
ejpam-6643	362	26	full	full	ADJ
ejpam-6643	362	27	graph	graph	NOUN
ejpam-6643	362	28	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	362	29	)	)	PUNCT
ejpam-6643	362	30	.	.	PUNCT
ejpam-6643	363	1	this	this	PRON
ejpam-6643	363	2	contradicts	contradict	VERB
ejpam-6643	363	3	its	its	PRON
ejpam-6643	363	4	acyclicity	acyclicity	NOUN
ejpam-6643	363	5	.	.	PUNCT
ejpam-6643	364	1	hence	hence	ADV
ejpam-6643	364	2	no	no	DET
ejpam-6643	364	3	such	such	ADJ
ejpam-6643	364	4	cycle	cycle	NOUN
ejpam-6643	364	5	can	can	AUX
ejpam-6643	364	6	occur	occur	VERB
ejpam-6643	364	7	in	in	ADP
ejpam-6643	364	8	any	any	DET
ejpam-6643	364	9	soft	soft	ADJ
ejpam-6643	364	10	substructure	substructure	NOUN
ejpam-6643	364	11	.	.	PUNCT
ejpam-6643	365	1	definition	definition	NOUN
ejpam-6643	365	2	12	12	NUM
ejpam-6643	365	3	(	(	PUNCT
ejpam-6643	365	4	reachability	reachability	NOUN
ejpam-6643	365	5	)	)	PUNCT
ejpam-6643	365	6	.	.	PUNCT
ejpam-6643	366	1	in	in	ADP
ejpam-6643	366	2	a	a	DET
ejpam-6643	366	3	directed	direct	VERB
ejpam-6643	366	4	n	n	CCONJ
ejpam-6643	366	5	-	-	PUNCT
ejpam-6643	366	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	366	7	(	(	PUNCT
ejpam-6643	366	8	v	v	NOUN
ejpam-6643	366	9	,	,	PUNCT
ejpam-6643	366	10	e	e	NOUN
ejpam-6643	366	11	)	)	PUNCT
ejpam-6643	366	12	,	,	PUNCT
ejpam-6643	366	13	a	a	DET
ejpam-6643	366	14	vertex	vertex	NOUN
ejpam-6643	366	15	u	u	NOUN
ejpam-6643	366	16	∈	∈	NOUN
ejpam-6643	366	17	v	v	NOUN
ejpam-6643	366	18	is	be	AUX
ejpam-6643	366	19	reachable	reachable	ADJ
ejpam-6643	366	20	from	from	ADP
ejpam-6643	366	21	v	v	NUM
ejpam-6643	366	22	∈	∈	NOUN
ejpam-6643	366	23	v	v	ADP
ejpam-6643	366	24	if	if	SCONJ
ejpam-6643	366	25	there	there	PRON
ejpam-6643	366	26	exists	exist	VERB
ejpam-6643	366	27	a	a	DET
ejpam-6643	366	28	finite	finite	ADJ
ejpam-6643	366	29	sequence	sequence	NOUN
ejpam-6643	366	30	of	of	ADP
ejpam-6643	366	31	hyperedges	hyperedge	NOUN
ejpam-6643	366	32	e1	e1	NOUN
ejpam-6643	366	33	=	=	SYM
ejpam-6643	366	34	(	(	PUNCT
ejpam-6643	366	35	t1	t1	PROPN
ejpam-6643	366	36	,	,	PUNCT
ejpam-6643	366	37	h1	h1	PROPN
ejpam-6643	366	38	)	)	PUNCT
ejpam-6643	366	39	,	,	PUNCT
ejpam-6643	366	40	e2	e2	PROPN
ejpam-6643	366	41	=	=	SYM
ejpam-6643	366	42	(	(	PUNCT
ejpam-6643	366	43	t2	t2	PROPN
ejpam-6643	366	44	,	,	PUNCT
ejpam-6643	366	45	h2	h2	PROPN
ejpam-6643	366	46	)	)	PUNCT
ejpam-6643	366	47	,	,	PUNCT
ejpam-6643	366	48	.	.	PUNCT
ejpam-6643	366	49	.	.	PUNCT
ejpam-6643	367	1	.	.	PUNCT
ejpam-6643	368	1	,	,	PUNCT
ejpam-6643	368	2	em	em	PRON
ejpam-6643	368	3	=	=	SYM
ejpam-6643	368	4	(	(	PUNCT
ejpam-6643	368	5	tm	tm	PROPN
ejpam-6643	368	6	,	,	PUNCT
ejpam-6643	368	7	hm	hm	INTJ
ejpam-6643	368	8	)	)	PUNCT
ejpam-6643	368	9	and	and	CCONJ
ejpam-6643	368	10	vertices	vertice	VERB
ejpam-6643	368	11	v	v	NOUN
ejpam-6643	368	12	=	=	SYM
ejpam-6643	368	13	v0	v0	NOUN
ejpam-6643	368	14	,	,	PUNCT
ejpam-6643	368	15	v1	v1	NOUN
ejpam-6643	368	16	,	,	PUNCT
ejpam-6643	368	17	.	.	PUNCT
ejpam-6643	368	18	.	.	PUNCT
ejpam-6643	368	19	.	.	PUNCT
ejpam-6643	369	1	,	,	PUNCT
ejpam-6643	369	2	vm	vm	X
ejpam-6643	369	3	=	=	PUNCT
ejpam-6643	369	4	u	u	PRON
ejpam-6643	369	5	such	such	ADJ
ejpam-6643	369	6	that	that	PRON
ejpam-6643	369	7	for	for	ADP
ejpam-6643	369	8	each	each	DET
ejpam-6643	369	9	i	i	PRON
ejpam-6643	369	10	:	:	PUNCT
ejpam-6643	369	11	vi−1	vi−1	PROPN
ejpam-6643	369	12	∈	∈	PROPN
ejpam-6643	369	13	ti	ti	NOUN
ejpam-6643	369	14	,	,	PUNCT
ejpam-6643	369	15	vi	vi	PROPN
ejpam-6643	369	16	∈	∈	PROPN
ejpam-6643	369	17	hi	hi	PROPN
ejpam-6643	369	18	.	.	PUNCT
ejpam-6643	369	19	theorem	theorem	VERB
ejpam-6643	369	20	11	11	NUM
ejpam-6643	369	21	(	(	PUNCT
ejpam-6643	369	22	reachability	reachability	NOUN
ejpam-6643	369	23	restriction	restriction	NOUN
ejpam-6643	369	24	)	)	PUNCT
ejpam-6643	369	25	.	.	PUNCT
ejpam-6643	370	1	under	under	ADP
ejpam-6643	370	2	the	the	DET
ejpam-6643	370	3	same	same	ADJ
ejpam-6643	370	4	hypothesis	hypothesis	NOUN
ejpam-6643	370	5	,	,	PUNCT
ejpam-6643	370	6	if	if	SCONJ
ejpam-6643	370	7	u	u	NOUN
ejpam-6643	370	8	is	be	AUX
ejpam-6643	370	9	reachable	reachable	ADJ
ejpam-6643	370	10	from	from	ADP
ejpam-6643	370	11	v	v	NOUN
ejpam-6643	370	12	in	in	ADP
ejpam-6643	370	13	the	the	DET
ejpam-6643	370	14	soft	soft	ADJ
ejpam-6643	370	15	sub	sub	ADJ
ejpam-6643	370	16	-	-	ADJ
ejpam-6643	370	17	n	n	CCONJ
ejpam-6643	370	18	-	-	PUNCT
ejpam-6643	370	19	superhypergraph	superhypergraph	NOUN
ejpam-6643	370	20	(	(	PUNCT
ejpam-6643	370	21	a(c	a(c	PROPN
ejpam-6643	370	22	)	)	PUNCT
ejpam-6643	370	23	,	,	PUNCT
ejpam-6643	370	24	b(c	b(c	NOUN
ejpam-6643	370	25	)	)	PUNCT
ejpam-6643	370	26	)	)	PUNCT
ejpam-6643	370	27	,	,	PUNCT
ejpam-6643	370	28	then	then	ADV
ejpam-6643	370	29	u	u	NOUN
ejpam-6643	370	30	is	be	AUX
ejpam-6643	370	31	also	also	ADV
ejpam-6643	370	32	reachable	reachable	ADJ
ejpam-6643	370	33	from	from	ADP
ejpam-6643	370	34	v	v	NOUN
ejpam-6643	370	35	in	in	ADP
ejpam-6643	370	36	the	the	DET
ejpam-6643	370	37	original	original	ADJ
ejpam-6643	370	38	directed	direct	VERB
ejpam-6643	370	39	n	n	CCONJ
ejpam-6643	370	40	-	-	PUNCT
ejpam-6643	370	41	superhypergraph	superhypergraph	NOUN
ejpam-6643	370	42	.	.	PUNCT
ejpam-6643	371	1	t.	t.	PROPN
ejpam-6643	371	2	fujita	fujita	PROPN
ejpam-6643	371	3	,	,	PUNCT
ejpam-6643	371	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	371	5	/	/	SYM
ejpam-6643	371	6	eur	eur	PROPN
ejpam-6643	371	7	.	.	PUNCT
ejpam-6643	372	1	j.	j.	PROPN
ejpam-6643	372	2	pure	pure	PROPN
ejpam-6643	372	3	appl	appl	PROPN
ejpam-6643	372	4	.	.	PROPN
ejpam-6643	372	5	math	math	PROPN
ejpam-6643	372	6	,	,	PUNCT
ejpam-6643	372	7	18	18	NUM
ejpam-6643	372	8	(	(	PUNCT
ejpam-6643	372	9	4	4	NUM
ejpam-6643	372	10	)	)	PUNCT
ejpam-6643	372	11	(	(	PUNCT
ejpam-6643	372	12	2025	2025	NUM
ejpam-6643	372	13	)	)	PUNCT
ejpam-6643	372	14	,	,	PUNCT
ejpam-6643	372	15	6643	6643	NUM
ejpam-6643	372	16	20	20	NUM
ejpam-6643	372	17	of	of	ADP
ejpam-6643	372	18	27	27	NUM
ejpam-6643	372	19	proof	proof	NOUN
ejpam-6643	372	20	.	.	PUNCT
ejpam-6643	373	1	suppose	suppose	VERB
ejpam-6643	373	2	in	in	ADP
ejpam-6643	373	3	(	(	PUNCT
ejpam-6643	373	4	a(c	a(c	PROPN
ejpam-6643	373	5	)	)	PUNCT
ejpam-6643	373	6	,	,	PUNCT
ejpam-6643	373	7	b(c	b(c	NOUN
ejpam-6643	373	8	)	)	PUNCT
ejpam-6643	373	9	)	)	PUNCT
ejpam-6643	374	1	there	there	PRON
ejpam-6643	374	2	is	be	VERB
ejpam-6643	374	3	a	a	DET
ejpam-6643	374	4	path	path	NOUN
ejpam-6643	374	5	v	v	ADP
ejpam-6643	374	6	=	=	SYM
ejpam-6643	374	7	v0	v0	NOUN
ejpam-6643	374	8	e1−→	e1−→	PROPN
ejpam-6643	374	9	v1	v1	PROPN
ejpam-6643	374	10	e2−→	e2−→	X
ejpam-6643	374	11	·	·	PUNCT
ejpam-6643	374	12	·	·	PUNCT
ejpam-6643	374	13	·	·	PUNCT
ejpam-6643	374	14	em−−→	em−−→	VERB
ejpam-6643	374	15	vm	vm	X
ejpam-6643	374	16	=	=	SYM
ejpam-6643	374	17	u	u	PROPN
ejpam-6643	374	18	,	,	PUNCT
ejpam-6643	374	19	with	with	ADP
ejpam-6643	374	20	each	each	DET
ejpam-6643	374	21	ei	ei	X
ejpam-6643	374	22	∈	∈	PROPN
ejpam-6643	374	23	b(c	b(c	NOUN
ejpam-6643	374	24	)	)	PUNCT
ejpam-6643	374	25	and	and	CCONJ
ejpam-6643	374	26	vi−1	vi−1	PROPN
ejpam-6643	374	27	∈	∈	PROPN
ejpam-6643	374	28	tail(ei	tail(ei	PROPN
ejpam-6643	374	29	)	)	PUNCT
ejpam-6643	374	30	,	,	PUNCT
ejpam-6643	374	31	vi	vi	PROPN
ejpam-6643	374	32	∈	∈	PROPN
ejpam-6643	374	33	head(ei	head(ei	PROPN
ejpam-6643	374	34	)	)	PUNCT
ejpam-6643	374	35	.	.	PUNCT
ejpam-6643	375	1	since	since	SCONJ
ejpam-6643	375	2	b(c	b(c	NOUN
ejpam-6643	375	3	)	)	PUNCT
ejpam-6643	375	4	⊆	⊆	NUM
ejpam-6643	375	5	e	e	NOUN
ejpam-6643	375	6	,	,	PUNCT
ejpam-6643	375	7	every	every	DET
ejpam-6643	375	8	ei	ei	NOUN
ejpam-6643	375	9	also	also	ADV
ejpam-6643	375	10	belongs	belong	VERB
ejpam-6643	375	11	to	to	ADP
ejpam-6643	375	12	the	the	DET
ejpam-6643	375	13	full	full	ADJ
ejpam-6643	375	14	edge	edge	NOUN
ejpam-6643	375	15	set	set	VERB
ejpam-6643	375	16	e.	e.	PROPN
ejpam-6643	375	17	moreover	moreover	ADV
ejpam-6643	375	18	,	,	PUNCT
ejpam-6643	375	19	all	all	DET
ejpam-6643	375	20	vi	vi	NOUN
ejpam-6643	375	21	∈	∈	NOUN
ejpam-6643	375	22	a(c	a(c	NOUN
ejpam-6643	375	23	)	)	PUNCT
ejpam-6643	375	24	⊆	⊆	NUM
ejpam-6643	375	25	v	v	NOUN
ejpam-6643	375	26	.	.	PUNCT
ejpam-6643	376	1	thus	thus	ADV
ejpam-6643	376	2	the	the	DET
ejpam-6643	376	3	same	same	ADJ
ejpam-6643	376	4	sequence	sequence	NOUN
ejpam-6643	376	5	of	of	ADP
ejpam-6643	376	6	edges	edge	NOUN
ejpam-6643	376	7	and	and	CCONJ
ejpam-6643	376	8	vertices	vertice	VERB
ejpam-6643	376	9	forms	form	VERB
ejpam-6643	376	10	a	a	DET
ejpam-6643	376	11	valid	valid	ADJ
ejpam-6643	376	12	reachability	reachability	NOUN
ejpam-6643	376	13	path	path	NOUN
ejpam-6643	376	14	in	in	ADP
ejpam-6643	376	15	the	the	DET
ejpam-6643	376	16	underlying	underlying	ADJ
ejpam-6643	376	17	dsuhg(n	dsuhg(n	NOUN
ejpam-6643	376	18	)	)	PUNCT
ejpam-6643	376	19	.	.	PUNCT
ejpam-6643	377	1	therefore	therefore	ADV
ejpam-6643	377	2	reachability	reachability	NOUN
ejpam-6643	377	3	in	in	ADP
ejpam-6643	377	4	any	any	DET
ejpam-6643	377	5	soft	soft	ADJ
ejpam-6643	377	6	induced	induced	ADJ
ejpam-6643	377	7	subgraph	subgraph	NOUN
ejpam-6643	377	8	implies	imply	VERB
ejpam-6643	377	9	reachability	reachability	NOUN
ejpam-6643	377	10	in	in	ADP
ejpam-6643	377	11	the	the	DET
ejpam-6643	377	12	original	original	ADJ
ejpam-6643	377	13	graph	graph	NOUN
ejpam-6643	377	14	.	.	PUNCT
ejpam-6643	378	1	4	4	X
ejpam-6643	378	2	.	.	X
ejpam-6643	378	3	discussion	discussion	NOUN
ejpam-6643	378	4	in	in	ADP
ejpam-6643	378	5	this	this	DET
ejpam-6643	378	6	section	section	NOUN
ejpam-6643	378	7	,	,	PUNCT
ejpam-6643	378	8	we	we	PRON
ejpam-6643	378	9	examine	examine	VERB
ejpam-6643	378	10	soft	soft	ADJ
ejpam-6643	378	11	directed	direct	VERB
ejpam-6643	378	12	n	n	CCONJ
ejpam-6643	378	13	-	-	PUNCT
ejpam-6643	378	14	superhypergraphs	superhypergraph	NOUN
ejpam-6643	378	15	in	in	ADP
ejpam-6643	378	16	relation	relation	NOUN
ejpam-6643	378	17	to	to	ADP
ejpam-6643	378	18	established	establish	VERB
ejpam-6643	378	19	models	model	NOUN
ejpam-6643	378	20	.	.	PUNCT
ejpam-6643	379	1	table	table	NOUN
ejpam-6643	379	2	1	1	NUM
ejpam-6643	379	3	compares	compare	VERB
ejpam-6643	379	4	soft	soft	ADJ
ejpam-6643	379	5	directed	direct	VERB
ejpam-6643	379	6	graphs	graph	NOUN
ejpam-6643	379	7	,	,	PUNCT
ejpam-6643	379	8	soft	soft	ADJ
ejpam-6643	379	9	directed	direct	VERB
ejpam-6643	379	10	hypergraphs	hypergraph	NOUN
ejpam-6643	379	11	,	,	PUNCT
ejpam-6643	379	12	and	and	CCONJ
ejpam-6643	379	13	soft	soft	ADJ
ejpam-6643	379	14	directed	direct	VERB
ejpam-6643	379	15	n	n	CCONJ
ejpam-6643	379	16	-	-	PUNCT
ejpam-6643	379	17	superhypergraphs	superhypergraph	NOUN
ejpam-6643	379	18	,	,	PUNCT
ejpam-6643	379	19	while	while	SCONJ
ejpam-6643	379	20	table	table	NOUN
ejpam-6643	379	21	2	2	NUM
ejpam-6643	379	22	contrasts	contrast	VERB
ejpam-6643	379	23	soft	soft	ADJ
ejpam-6643	379	24	n	n	CCONJ
ejpam-6643	379	25	-	-	PUNCT
ejpam-6643	379	26	superhypergraphs	superhypergraph	NOUN
ejpam-6643	379	27	with	with	ADP
ejpam-6643	379	28	soft	soft	ADJ
ejpam-6643	379	29	directed	direct	VERB
ejpam-6643	379	30	n	n	CCONJ
ejpam-6643	379	31	-	-	PUNCT
ejpam-6643	379	32	superhypergraphs	superhypergraph	NOUN
ejpam-6643	379	33	.	.	PUNCT
ejpam-6643	380	1	concept	concept	NOUN
ejpam-6643	380	2	base	base	NOUN
ejpam-6643	380	3	structure	structure	NOUN
ejpam-6643	380	4	selection	selection	NOUN
ejpam-6643	380	5	maps	map	VERB
ejpam-6643	380	6	soft	soft	ADJ
ejpam-6643	380	7	directed	direct	VERB
ejpam-6643	380	8	graph	graph	NOUN
ejpam-6643	380	9	directed	direct	VERB
ejpam-6643	380	10	graph	graph	NOUN
ejpam-6643	380	11	(	(	PUNCT
ejpam-6643	380	12	v	v	NOUN
ejpam-6643	380	13	,	,	PUNCT
ejpam-6643	380	14	e	e	NOUN
ejpam-6643	380	15	)	)	PUNCT
ejpam-6643	380	16	where	where	SCONJ
ejpam-6643	380	17	e	e	PROPN
ejpam-6643	380	18	⊆	⊆	NUM
ejpam-6643	380	19	v	v	ADP
ejpam-6643	380	20	×	×	NOUN
ejpam-6643	380	21	v	v	ADP
ejpam-6643	380	22	each	each	DET
ejpam-6643	380	23	parameter	parameter	NOUN
ejpam-6643	380	24	chooses	choose	VERB
ejpam-6643	380	25	a	a	DET
ejpam-6643	380	26	subset	subset	NOUN
ejpam-6643	380	27	of	of	ADP
ejpam-6643	380	28	vertices	vertex	NOUN
ejpam-6643	380	29	in	in	ADP
ejpam-6643	380	30	v	v	NOUN
ejpam-6643	380	31	and	and	CCONJ
ejpam-6643	380	32	a	a	DET
ejpam-6643	380	33	subset	subset	NOUN
ejpam-6643	380	34	of	of	ADP
ejpam-6643	380	35	directed	direct	VERB
ejpam-6643	380	36	edges	edge	NOUN
ejpam-6643	380	37	in	in	ADP
ejpam-6643	380	38	e.	e.	PROPN
ejpam-6643	380	39	soft	soft	PROPN
ejpam-6643	380	40	directed	direct	VERB
ejpam-6643	380	41	hypergraph	hypergraph	NOUN
ejpam-6643	380	42	directed	direct	VERB
ejpam-6643	380	43	hypergraph	hypergraph	NOUN
ejpam-6643	380	44	(	(	PUNCT
ejpam-6643	380	45	γ	γ	X
ejpam-6643	380	46	,	,	PUNCT
ejpam-6643	380	47	ξ	ξ	PROPN
ejpam-6643	380	48	)	)	PUNCT
ejpam-6643	380	49	where	where	SCONJ
ejpam-6643	380	50	ξ	ξ	X
ejpam-6643	380	51	⊆	⊆	NUM
ejpam-6643	380	52	p(γ	p(γ	NOUN
ejpam-6643	380	53	)	)	PUNCT
ejpam-6643	380	54	×	×	NOUN
ejpam-6643	380	55	p(γ	p(γ	NOUN
ejpam-6643	380	56	)	)	PUNCT
ejpam-6643	380	57	each	each	DET
ejpam-6643	380	58	parameter	parameter	NOUN
ejpam-6643	380	59	chooses	choose	VERB
ejpam-6643	380	60	a	a	DET
ejpam-6643	380	61	subset	subset	NOUN
ejpam-6643	380	62	of	of	ADP
ejpam-6643	380	63	nodes	node	NOUN
ejpam-6643	380	64	in	in	ADP
ejpam-6643	380	65	γ	γ	NOUN
ejpam-6643	380	66	and	and	CCONJ
ejpam-6643	380	67	a	a	DET
ejpam-6643	380	68	subset	subset	NOUN
ejpam-6643	380	69	of	of	ADP
ejpam-6643	380	70	hyperarcs	hyperarcs	PROPN
ejpam-6643	380	71	in	in	ADP
ejpam-6643	380	72	ξ	ξ	PROPN
ejpam-6643	380	73	.	.	PUNCT
ejpam-6643	380	74	soft	soft	ADJ
ejpam-6643	380	75	directed	direct	VERB
ejpam-6643	380	76	n	n	CCONJ
ejpam-6643	380	77	-	-	PUNCT
ejpam-6643	380	78	superhypergraph	superhypergraph	NOUN
ejpam-6643	380	79	directed	directed	ADJ
ejpam-6643	380	80	n	n	CCONJ
ejpam-6643	380	81	-	-	PUNCT
ejpam-6643	380	82	superhypergraph	superhypergraph	NOUN
ejpam-6643	380	83	(	(	PUNCT
ejpam-6643	380	84	v	v	NOUN
ejpam-6643	380	85	,	,	PUNCT
ejpam-6643	380	86	e	e	NOUN
ejpam-6643	380	87	)	)	PUNCT
ejpam-6643	380	88	with	with	ADP
ejpam-6643	380	89	v	v	ADP
ejpam-6643	380	90	⊆	⊆	NUM
ejpam-6643	380	91	pn(s	pn(	NOUN
ejpam-6643	380	92	)	)	PUNCT
ejpam-6643	380	93	,	,	PUNCT
ejpam-6643	380	94	e	e	NOUN
ejpam-6643	380	95	⊆	⊆	NUM
ejpam-6643	380	96	pn(s	pn(s	NUM
ejpam-6643	380	97	)	)	PUNCT
ejpam-6643	380	98	×	×	NOUN
ejpam-6643	380	99	pn(s	pn(s	NUM
ejpam-6643	380	100	)	)	PUNCT
ejpam-6643	381	1	each	each	DET
ejpam-6643	381	2	parameter	parameter	NOUN
ejpam-6643	381	3	chooses	choose	VERB
ejpam-6643	381	4	a	a	DET
ejpam-6643	381	5	subset	subset	NOUN
ejpam-6643	381	6	of	of	ADP
ejpam-6643	381	7	n	n	NOUN
ejpam-6643	381	8	-	-	PUNCT
ejpam-6643	381	9	supervertices	supervertice	NOUN
ejpam-6643	381	10	in	in	ADP
ejpam-6643	381	11	v	v	NOUN
ejpam-6643	381	12	and	and	CCONJ
ejpam-6643	381	13	a	a	DET
ejpam-6643	381	14	subset	subset	NOUN
ejpam-6643	381	15	of	of	ADP
ejpam-6643	381	16	directed	direct	VERB
ejpam-6643	381	17	n	n	CCONJ
ejpam-6643	381	18	-	-	PUNCT
ejpam-6643	381	19	superedges	superedge	NOUN
ejpam-6643	381	20	in	in	ADP
ejpam-6643	381	21	e.	e.	PROPN
ejpam-6643	381	22	table	table	PROPN
ejpam-6643	381	23	1	1	NUM
ejpam-6643	381	24	:	:	PUNCT
ejpam-6643	381	25	overview	overview	NOUN
ejpam-6643	381	26	of	of	ADP
ejpam-6643	381	27	soft	soft	ADJ
ejpam-6643	381	28	-	-	PUNCT
ejpam-6643	381	29	parameterized	parameterized	ADJ
ejpam-6643	381	30	directed	direct	VERB
ejpam-6643	381	31	network	network	NOUN
ejpam-6643	381	32	models	model	NOUN
ejpam-6643	381	33	concept	concept	VERB
ejpam-6643	381	34	base	base	NOUN
ejpam-6643	381	35	structure	structure	NOUN
ejpam-6643	381	36	selection	selection	NOUN
ejpam-6643	381	37	maps	map	NOUN
ejpam-6643	381	38	soft	soft	ADJ
ejpam-6643	381	39	n	n	CCONJ
ejpam-6643	381	40	-	-	PUNCT
ejpam-6643	381	41	superhypergraph	superhypergraph	NOUN
ejpam-6643	381	42	n	n	CCONJ
ejpam-6643	381	43	-	-	PUNCT
ejpam-6643	381	44	superhypergraph	superhypergraph	NOUN
ejpam-6643	381	45	(	(	PUNCT
ejpam-6643	381	46	v	v	NOUN
ejpam-6643	381	47	,	,	PUNCT
ejpam-6643	381	48	e	e	NOUN
ejpam-6643	381	49	)	)	PUNCT
ejpam-6643	381	50	with	with	ADP
ejpam-6643	381	51	v	v	ADP
ejpam-6643	381	52	⊆	⊆	NUM
ejpam-6643	381	53	pn(s	pn(	NOUN
ejpam-6643	381	54	)	)	PUNCT
ejpam-6643	381	55	,	,	PUNCT
ejpam-6643	381	56	e	e	NOUN
ejpam-6643	381	57	⊆	⊆	NUM
ejpam-6643	381	58	pn(s	pn(s	NUM
ejpam-6643	381	59	)	)	PUNCT
ejpam-6643	381	60	each	each	DET
ejpam-6643	381	61	parameter	parameter	NOUN
ejpam-6643	381	62	chooses	choose	VERB
ejpam-6643	381	63	a	a	DET
ejpam-6643	381	64	subset	subset	NOUN
ejpam-6643	381	65	of	of	ADP
ejpam-6643	381	66	n	n	NOUN
ejpam-6643	381	67	-	-	PUNCT
ejpam-6643	381	68	supervertices	supervertice	NOUN
ejpam-6643	381	69	in	in	ADP
ejpam-6643	381	70	v	v	NOUN
ejpam-6643	381	71	and	and	CCONJ
ejpam-6643	381	72	a	a	DET
ejpam-6643	381	73	subset	subset	NOUN
ejpam-6643	381	74	of	of	ADP
ejpam-6643	381	75	n	n	NOUN
ejpam-6643	381	76	-	-	PUNCT
ejpam-6643	381	77	superedges	superedge	NOUN
ejpam-6643	381	78	in	in	ADP
ejpam-6643	381	79	e.	e.	PROPN
ejpam-6643	381	80	soft	soft	PROPN
ejpam-6643	381	81	directed	direct	VERB
ejpam-6643	381	82	n	n	CCONJ
ejpam-6643	381	83	-	-	PUNCT
ejpam-6643	381	84	superhypergraph	superhypergraph	NOUN
ejpam-6643	381	85	directed	directed	ADJ
ejpam-6643	381	86	n	n	CCONJ
ejpam-6643	381	87	-	-	PUNCT
ejpam-6643	381	88	superhypergraph	superhypergraph	NOUN
ejpam-6643	381	89	(	(	PUNCT
ejpam-6643	381	90	v	v	NOUN
ejpam-6643	381	91	,	,	PUNCT
ejpam-6643	381	92	e	e	NOUN
ejpam-6643	381	93	)	)	PUNCT
ejpam-6643	381	94	with	with	ADP
ejpam-6643	381	95	v	v	ADP
ejpam-6643	381	96	⊆	⊆	NUM
ejpam-6643	381	97	pn(s	pn(	NOUN
ejpam-6643	381	98	)	)	PUNCT
ejpam-6643	381	99	,	,	PUNCT
ejpam-6643	381	100	e	e	NOUN
ejpam-6643	381	101	⊆	⊆	NUM
ejpam-6643	381	102	pn(s	pn(s	NUM
ejpam-6643	381	103	)	)	PUNCT
ejpam-6643	381	104	×	×	NOUN
ejpam-6643	381	105	pn(s	pn(s	NUM
ejpam-6643	381	106	)	)	PUNCT
ejpam-6643	381	107	each	each	DET
ejpam-6643	381	108	parameter	parameter	NOUN
ejpam-6643	381	109	chooses	choose	VERB
ejpam-6643	381	110	a	a	DET
ejpam-6643	381	111	subset	subset	NOUN
ejpam-6643	381	112	of	of	ADP
ejpam-6643	381	113	directed	direct	VERB
ejpam-6643	381	114	n	n	CCONJ
ejpam-6643	381	115	-	-	PUNCT
ejpam-6643	381	116	supervertices	supervertice	NOUN
ejpam-6643	381	117	in	in	ADP
ejpam-6643	381	118	v	v	NOUN
ejpam-6643	381	119	and	and	CCONJ
ejpam-6643	381	120	a	a	DET
ejpam-6643	381	121	subset	subset	NOUN
ejpam-6643	381	122	of	of	ADP
ejpam-6643	381	123	directed	direct	VERB
ejpam-6643	381	124	n	n	CCONJ
ejpam-6643	381	125	-	-	PUNCT
ejpam-6643	381	126	superedges	superedge	NOUN
ejpam-6643	381	127	in	in	ADP
ejpam-6643	381	128	e.	e.	PROPN
ejpam-6643	381	129	table	table	PROPN
ejpam-6643	381	130	2	2	NUM
ejpam-6643	381	131	:	:	PUNCT
ejpam-6643	381	132	overview	overview	NOUN
ejpam-6643	381	133	of	of	ADP
ejpam-6643	381	134	soft	soft	ADJ
ejpam-6643	381	135	n	n	CCONJ
ejpam-6643	381	136	-	-	PUNCT
ejpam-6643	381	137	superhypergraphs	superhypergraph	NOUN
ejpam-6643	381	138	versus	versus	ADP
ejpam-6643	381	139	soft	soft	ADJ
ejpam-6643	381	140	directed	direct	VERB
ejpam-6643	381	141	n	n	NOUN
ejpam-6643	381	142	-	-	PUNCT
ejpam-6643	381	143	superhypergraphs	superhypergraph	NOUN
ejpam-6643	381	144	from	from	ADP
ejpam-6643	381	145	these	these	DET
ejpam-6643	381	146	comparisons	comparison	NOUN
ejpam-6643	381	147	,	,	PUNCT
ejpam-6643	381	148	it	it	PRON
ejpam-6643	381	149	is	be	AUX
ejpam-6643	381	150	clear	clear	ADJ
ejpam-6643	381	151	that	that	SCONJ
ejpam-6643	381	152	soft	soft	ADJ
ejpam-6643	381	153	directed	direct	VERB
ejpam-6643	381	154	n	n	CCONJ
ejpam-6643	381	155	-	-	PUNCT
ejpam-6643	381	156	superhypergraphs	superhypergraph	NOUN
ejpam-6643	381	157	excel	excel	VERB
ejpam-6643	381	158	at	at	ADP
ejpam-6643	381	159	modeling	model	VERB
ejpam-6643	381	160	highly	highly	ADV
ejpam-6643	381	161	hierarchical	hierarchical	ADJ
ejpam-6643	381	162	,	,	PUNCT
ejpam-6643	381	163	complex	complex	ADJ
ejpam-6643	381	164	,	,	PUNCT
ejpam-6643	381	165	and	and	CCONJ
ejpam-6643	381	166	inherently	inherently	ADV
ejpam-6643	381	167	directional	directional	ADJ
ejpam-6643	381	168	phenomena	phenomenon	NOUN
ejpam-6643	381	169	.	.	PUNCT
ejpam-6643	382	1	future	future	ADJ
ejpam-6643	382	2	work	work	NOUN
ejpam-6643	382	3	involving	involve	VERB
ejpam-6643	382	4	computational	computational	ADJ
ejpam-6643	382	5	experiments	experiment	NOUN
ejpam-6643	382	6	and	and	CCONJ
ejpam-6643	382	7	algorithm	algorithm	NOUN
ejpam-6643	382	8	development	development	NOUN
ejpam-6643	382	9	for	for	ADP
ejpam-6643	382	10	soft	soft	ADJ
ejpam-6643	382	11	directed	direct	VERB
ejpam-6643	382	12	n	n	CCONJ
ejpam-6643	382	13	-	-	PUNCT
ejpam-6643	382	14	superhypergraphs	superhypergraph	NOUN
ejpam-6643	382	15	will	will	AUX
ejpam-6643	382	16	yield	yield	VERB
ejpam-6643	382	17	both	both	DET
ejpam-6643	382	18	qualitative	qualitative	ADJ
ejpam-6643	382	19	insights	insight	NOUN
ejpam-6643	382	20	and	and	CCONJ
ejpam-6643	382	21	detailed	detailed	ADJ
ejpam-6643	382	22	quantitative	quantitative	ADJ
ejpam-6643	382	23	evaluations	evaluation	NOUN
ejpam-6643	382	24	,	,	PUNCT
ejpam-6643	382	25	paving	pave	VERB
ejpam-6643	382	26	the	the	DET
ejpam-6643	382	27	way	way	NOUN
ejpam-6643	382	28	for	for	ADP
ejpam-6643	382	29	practical	practical	ADJ
ejpam-6643	382	30	applications	application	NOUN
ejpam-6643	382	31	.	.	PUNCT
ejpam-6643	383	1	t.	t.	PROPN
ejpam-6643	383	2	fujita	fujita	PROPN
ejpam-6643	383	3	,	,	PUNCT
ejpam-6643	383	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	383	5	/	/	SYM
ejpam-6643	383	6	eur	eur	PROPN
ejpam-6643	383	7	.	.	PUNCT
ejpam-6643	384	1	j.	j.	PROPN
ejpam-6643	384	2	pure	pure	PROPN
ejpam-6643	384	3	appl	appl	PROPN
ejpam-6643	384	4	.	.	PROPN
ejpam-6643	384	5	math	math	PROPN
ejpam-6643	384	6	,	,	PUNCT
ejpam-6643	384	7	18	18	NUM
ejpam-6643	384	8	(	(	PUNCT
ejpam-6643	384	9	4	4	NUM
ejpam-6643	384	10	)	)	PUNCT
ejpam-6643	384	11	(	(	PUNCT
ejpam-6643	384	12	2025	2025	NUM
ejpam-6643	384	13	)	)	PUNCT
ejpam-6643	384	14	,	,	PUNCT
ejpam-6643	384	15	6643	6643	NUM
ejpam-6643	384	16	21	21	NUM
ejpam-6643	384	17	of	of	ADP
ejpam-6643	384	18	27	27	NUM
ejpam-6643	384	19	5	5	NUM
ejpam-6643	384	20	.	.	PUNCT
ejpam-6643	384	21	conclusion	conclusion	NOUN
ejpam-6643	384	22	and	and	CCONJ
ejpam-6643	384	23	future	future	ADJ
ejpam-6643	384	24	tasks	task	NOUN
ejpam-6643	384	25	in	in	ADP
ejpam-6643	384	26	this	this	DET
ejpam-6643	384	27	paper	paper	NOUN
ejpam-6643	385	1	,	,	PUNCT
ejpam-6643	385	2	we	we	PRON
ejpam-6643	385	3	explored	explore	VERB
ejpam-6643	385	4	the	the	DET
ejpam-6643	385	5	mathematical	mathematical	ADJ
ejpam-6643	385	6	properties	property	NOUN
ejpam-6643	385	7	and	and	CCONJ
ejpam-6643	385	8	real	real	ADJ
ejpam-6643	385	9	-	-	PUNCT
ejpam-6643	385	10	world	world	NOUN
ejpam-6643	385	11	applications	application	NOUN
ejpam-6643	385	12	of	of	ADP
ejpam-6643	385	13	soft	soft	ADJ
ejpam-6643	385	14	directed	direct	VERB
ejpam-6643	385	15	n	n	CCONJ
ejpam-6643	385	16	-	-	PUNCT
ejpam-6643	385	17	superhypergraphs	superhypergraph	NOUN
ejpam-6643	385	18	.	.	PUNCT
ejpam-6643	386	1	these	these	DET
ejpam-6643	386	2	structures	structure	NOUN
ejpam-6643	386	3	provide	provide	VERB
ejpam-6643	386	4	a	a	DET
ejpam-6643	386	5	flexible	flexible	ADJ
ejpam-6643	386	6	and	and	CCONJ
ejpam-6643	386	7	expressive	expressive	ADJ
ejpam-6643	386	8	framework	framework	NOUN
ejpam-6643	386	9	for	for	ADP
ejpam-6643	386	10	modeling	model	VERB
ejpam-6643	386	11	hierarchical	hierarchical	ADJ
ejpam-6643	386	12	,	,	PUNCT
ejpam-6643	386	13	directional	directional	ADJ
ejpam-6643	386	14	,	,	PUNCT
ejpam-6643	386	15	and	and	CCONJ
ejpam-6643	386	16	parameterized	parameterized	ADJ
ejpam-6643	386	17	relationships	relationship	NOUN
ejpam-6643	386	18	under	under	ADP
ejpam-6643	386	19	uncertainty	uncertainty	NOUN
ejpam-6643	386	20	.	.	PUNCT
ejpam-6643	387	1	as	as	ADP
ejpam-6643	387	2	directions	direction	NOUN
ejpam-6643	387	3	for	for	ADP
ejpam-6643	387	4	future	future	ADJ
ejpam-6643	387	5	work	work	NOUN
ejpam-6643	387	6	,	,	PUNCT
ejpam-6643	387	7	we	we	PRON
ejpam-6643	387	8	aim	aim	VERB
ejpam-6643	387	9	to	to	PART
ejpam-6643	387	10	investigate	investigate	VERB
ejpam-6643	387	11	further	further	ADJ
ejpam-6643	387	12	generalizations	generalization	NOUN
ejpam-6643	387	13	and	and	CCONJ
ejpam-6643	387	14	extensions	extension	NOUN
ejpam-6643	387	15	by	by	ADP
ejpam-6643	387	16	incorporating	incorporate	VERB
ejpam-6643	387	17	advanced	advanced	ADJ
ejpam-6643	387	18	uncertainty	uncertainty	NOUN
ejpam-6643	387	19	-	-	PUNCT
ejpam-6643	387	20	based	base	VERB
ejpam-6643	387	21	structures	structure	NOUN
ejpam-6643	387	22	such	such	ADJ
ejpam-6643	387	23	as	as	ADP
ejpam-6643	387	24	hypersoft	hypersoft	PROPN
ejpam-6643	387	25	sets[31	sets[31	NOUN
ejpam-6643	387	26	]	]	PUNCT
ejpam-6643	387	27	,	,	PUNCT
ejpam-6643	387	28	soft	soft	ADJ
ejpam-6643	387	29	expert	expert	NOUN
ejpam-6643	387	30	sets	set	NOUN
ejpam-6643	387	31	[	[	X
ejpam-6643	387	32	69	69	NUM
ejpam-6643	387	33	]	]	PUNCT
ejpam-6643	387	34	,	,	PUNCT
ejpam-6643	387	35	hypersoft	hypersoft	PROPN
ejpam-6643	387	36	expert	expert	PROPN
ejpam-6643	387	37	set[70–72	set[70–72	PROPN
ejpam-6643	387	38	]	]	PROPN
ejpam-6643	387	39	,	,	PUNCT
ejpam-6643	387	40	superhypersoft	superhypersoft	PROPN
ejpam-6643	387	41	sets[73	sets[73	PROPN
ejpam-6643	387	42	,	,	PUNCT
ejpam-6643	387	43	74	74	NUM
ejpam-6643	387	44	]	]	PUNCT
ejpam-6643	387	45	,	,	PUNCT
ejpam-6643	387	46	and	and	CCONJ
ejpam-6643	387	47	soft	soft	ADJ
ejpam-6643	387	48	rough	rough	ADJ
ejpam-6643	387	49	sets	set	NOUN
ejpam-6643	387	50	[	[	X
ejpam-6643	387	51	75	75	NUM
ejpam-6643	387	52	]	]	PUNCT
ejpam-6643	387	53	.	.	PUNCT
ejpam-6643	388	1	these	these	DET
ejpam-6643	388	2	developments	development	NOUN
ejpam-6643	388	3	have	have	VERB
ejpam-6643	388	4	the	the	DET
ejpam-6643	388	5	potential	potential	NOUN
ejpam-6643	388	6	to	to	PART
ejpam-6643	388	7	enhance	enhance	VERB
ejpam-6643	388	8	modeling	model	VERB
ejpam-6643	388	9	capabilities	capability	NOUN
ejpam-6643	388	10	in	in	ADP
ejpam-6643	388	11	complex	complex	ADJ
ejpam-6643	388	12	and	and	CCONJ
ejpam-6643	388	13	imprecise	imprecise	ADJ
ejpam-6643	388	14	domains	domain	NOUN
ejpam-6643	388	15	.	.	PUNCT
ejpam-6643	389	1	furthermore	furthermore	ADV
ejpam-6643	389	2	,	,	PUNCT
ejpam-6643	389	3	several	several	ADJ
ejpam-6643	389	4	more	more	ADJ
ejpam-6643	389	5	refined	refined	ADJ
ejpam-6643	389	6	notions	notion	NOUN
ejpam-6643	389	7	of	of	ADP
ejpam-6643	389	8	directed	direct	VERB
ejpam-6643	389	9	graphs	graph	NOUN
ejpam-6643	389	10	have	have	AUX
ejpam-6643	389	11	been	be	AUX
ejpam-6643	389	12	proposed	propose	VERB
ejpam-6643	389	13	in	in	ADP
ejpam-6643	389	14	the	the	DET
ejpam-6643	389	15	literature	literature	NOUN
ejpam-6643	389	16	,	,	PUNCT
ejpam-6643	389	17	such	such	ADJ
ejpam-6643	389	18	as	as	ADP
ejpam-6643	389	19	bidirected	bidirected	ADJ
ejpam-6643	389	20	graphs	graph	NOUN
ejpam-6643	389	21	[	[	X
ejpam-6643	389	22	76	76	NUM
ejpam-6643	389	23	,	,	PUNCT
ejpam-6643	389	24	77	77	NUM
ejpam-6643	389	25	]	]	PUNCT
ejpam-6643	389	26	,	,	PUNCT
ejpam-6643	389	27	bunch	bunch	NOUN
ejpam-6643	389	28	graphs	graph	NOUN
ejpam-6643	389	29	[	[	X
ejpam-6643	389	30	78	78	NUM
ejpam-6643	389	31	]	]	PUNCT
ejpam-6643	389	32	,	,	PUNCT
ejpam-6643	389	33	pangene	pangene	ADJ
ejpam-6643	389	34	graphs[79	graphs[79	NOUN
ejpam-6643	389	35	]	]	PUNCT
ejpam-6643	389	36	,	,	PUNCT
ejpam-6643	389	37	and	and	CCONJ
ejpam-6643	389	38	multidirected	multidirecte	VERB
ejpam-6643	389	39	graphs	graph	NOUN
ejpam-6643	389	40	[	[	X
ejpam-6643	389	41	80	80	NUM
ejpam-6643	389	42	]	]	PUNCT
ejpam-6643	389	43	.	.	PUNCT
ejpam-6643	390	1	as	as	ADP
ejpam-6643	390	2	part	part	NOUN
ejpam-6643	390	3	of	of	ADP
ejpam-6643	390	4	future	future	ADJ
ejpam-6643	390	5	work	work	NOUN
ejpam-6643	390	6	,	,	PUNCT
ejpam-6643	390	7	we	we	PRON
ejpam-6643	390	8	intend	intend	VERB
ejpam-6643	390	9	to	to	PART
ejpam-6643	390	10	explore	explore	VERB
ejpam-6643	390	11	potential	potential	ADJ
ejpam-6643	390	12	extensions	extension	NOUN
ejpam-6643	390	13	of	of	ADP
ejpam-6643	390	14	our	our	PRON
ejpam-6643	390	15	framework	framework	NOUN
ejpam-6643	390	16	using	use	VERB
ejpam-6643	390	17	these	these	DET
ejpam-6643	390	18	advanced	advanced	ADJ
ejpam-6643	390	19	graph	graph	NOUN
ejpam-6643	390	20	structures	structure	NOUN
ejpam-6643	390	21	.	.	PUNCT
ejpam-6643	391	1	furthermore	furthermore	ADV
ejpam-6643	391	2	,	,	PUNCT
ejpam-6643	391	3	we	we	PRON
ejpam-6643	391	4	also	also	ADV
ejpam-6643	391	5	hope	hope	VERB
ejpam-6643	391	6	that	that	SCONJ
ejpam-6643	391	7	future	future	ADJ
ejpam-6643	391	8	research	research	NOUN
ejpam-6643	391	9	will	will	AUX
ejpam-6643	391	10	explore	explore	VERB
ejpam-6643	391	11	applications	application	NOUN
ejpam-6643	391	12	of	of	ADP
ejpam-6643	391	13	soft	soft	ADJ
ejpam-6643	391	14	directed	direct	VERB
ejpam-6643	391	15	n	n	CCONJ
ejpam-6643	391	16	-	-	PUNCT
ejpam-6643	391	17	superhypergraphs	superhypergraph	NOUN
ejpam-6643	391	18	in	in	ADP
ejpam-6643	391	19	areas	area	NOUN
ejpam-6643	391	20	such	such	ADJ
ejpam-6643	391	21	as	as	ADP
ejpam-6643	391	22	decision	decision	NOUN
ejpam-6643	391	23	-	-	PUNCT
ejpam-6643	391	24	making	making	NOUN
ejpam-6643	391	25	,	,	PUNCT
ejpam-6643	391	26	network	network	NOUN
ejpam-6643	391	27	theory	theory	NOUN
ejpam-6643	391	28	,	,	PUNCT
ejpam-6643	391	29	and	and	CCONJ
ejpam-6643	391	30	graph	graph	VERB
ejpam-6643	391	31	neural	neural	ADJ
ejpam-6643	391	32	networks	network	NOUN
ejpam-6643	391	33	.	.	PUNCT
ejpam-6643	392	1	acknowledgments	acknowledgment	NOUN
ejpam-6643	392	2	the	the	DET
ejpam-6643	392	3	authors	author	NOUN
ejpam-6643	392	4	extend	extend	VERB
ejpam-6643	392	5	their	their	PRON
ejpam-6643	392	6	sincere	sincere	ADJ
ejpam-6643	392	7	thanks	thank	NOUN
ejpam-6643	392	8	to	to	ADP
ejpam-6643	392	9	all	all	PRON
ejpam-6643	392	10	who	who	PRON
ejpam-6643	392	11	offered	offer	VERB
ejpam-6643	392	12	valuable	valuable	ADJ
ejpam-6643	392	13	insights	insight	NOUN
ejpam-6643	392	14	,	,	PUNCT
ejpam-6643	392	15	feedback	feedback	NOUN
ejpam-6643	392	16	,	,	PUNCT
ejpam-6643	392	17	and	and	CCONJ
ejpam-6643	392	18	encouragement	encouragement	NOUN
ejpam-6643	392	19	.	.	PUNCT
ejpam-6643	393	1	we	we	PRON
ejpam-6643	393	2	appreciate	appreciate	VERB
ejpam-6643	393	3	our	our	PRON
ejpam-6643	393	4	readers	reader	NOUN
ejpam-6643	393	5	’	’	PART
ejpam-6643	393	6	interest	interest	NOUN
ejpam-6643	393	7	and	and	CCONJ
ejpam-6643	393	8	the	the	DET
ejpam-6643	393	9	foundational	foundational	ADJ
ejpam-6643	393	10	contributions	contribution	NOUN
ejpam-6643	393	11	of	of	ADP
ejpam-6643	393	12	the	the	DET
ejpam-6643	393	13	scholars	scholar	NOUN
ejpam-6643	393	14	whose	whose	DET
ejpam-6643	393	15	work	work	NOUN
ejpam-6643	393	16	underpins	underpin	VERB
ejpam-6643	393	17	this	this	DET
ejpam-6643	393	18	study	study	NOUN
ejpam-6643	393	19	.	.	PUNCT
ejpam-6643	394	1	we	we	PRON
ejpam-6643	394	2	also	also	ADV
ejpam-6643	394	3	acknowledge	acknowledge	VERB
ejpam-6643	394	4	the	the	DET
ejpam-6643	394	5	institutions	institution	NOUN
ejpam-6643	394	6	and	and	CCONJ
ejpam-6643	394	7	individuals	individual	NOUN
ejpam-6643	394	8	who	who	PRON
ejpam-6643	394	9	provided	provide	VERB
ejpam-6643	394	10	the	the	DET
ejpam-6643	394	11	necessary	necessary	ADJ
ejpam-6643	394	12	infrastructure	infrastructure	NOUN
ejpam-6643	394	13	and	and	CCONJ
ejpam-6643	394	14	support	support	NOUN
ejpam-6643	394	15	.	.	PUNCT
ejpam-6643	395	1	finally	finally	ADV
ejpam-6643	395	2	,	,	PUNCT
ejpam-6643	395	3	we	we	PRON
ejpam-6643	395	4	are	be	AUX
ejpam-6643	395	5	grateful	grateful	ADJ
ejpam-6643	395	6	to	to	ADP
ejpam-6643	395	7	everyone	everyone	PRON
ejpam-6643	395	8	who	who	PRON
ejpam-6643	395	9	helped	help	VERB
ejpam-6643	395	10	make	make	VERB
ejpam-6643	395	11	this	this	DET
ejpam-6643	395	12	research	research	NOUN
ejpam-6643	395	13	possible	possible	ADJ
ejpam-6643	395	14	.	.	PUNCT
ejpam-6643	396	1	data	datum	NOUN
ejpam-6643	396	2	availability	availability	NOUN
ejpam-6643	396	3	this	this	DET
ejpam-6643	396	4	work	work	NOUN
ejpam-6643	396	5	is	be	AUX
ejpam-6643	396	6	purely	purely	ADV
ejpam-6643	396	7	theoretical	theoretical	ADJ
ejpam-6643	396	8	and	and	CCONJ
ejpam-6643	396	9	does	do	AUX
ejpam-6643	396	10	not	not	PART
ejpam-6643	396	11	involve	involve	VERB
ejpam-6643	396	12	original	original	ADJ
ejpam-6643	396	13	datasets	dataset	NOUN
ejpam-6643	396	14	.	.	PUNCT
ejpam-6643	397	1	we	we	PRON
ejpam-6643	397	2	invite	invite	VERB
ejpam-6643	397	3	future	future	ADJ
ejpam-6643	397	4	empirical	empirical	ADJ
ejpam-6643	397	5	research	research	NOUN
ejpam-6643	397	6	to	to	PART
ejpam-6643	397	7	validate	validate	VERB
ejpam-6643	397	8	and	and	CCONJ
ejpam-6643	397	9	expand	expand	VERB
ejpam-6643	397	10	upon	upon	SCONJ
ejpam-6643	397	11	the	the	DET
ejpam-6643	397	12	ideas	idea	NOUN
ejpam-6643	397	13	presented	present	VERB
ejpam-6643	397	14	here	here	ADV
ejpam-6643	397	15	.	.	PUNCT
ejpam-6643	398	1	ethical	ethical	ADJ
ejpam-6643	398	2	approval	approval	NOUN
ejpam-6643	398	3	no	no	DET
ejpam-6643	398	4	ethical	ethical	ADJ
ejpam-6643	398	5	review	review	NOUN
ejpam-6643	398	6	was	be	AUX
ejpam-6643	398	7	required	require	VERB
ejpam-6643	398	8	,	,	PUNCT
ejpam-6643	398	9	as	as	SCONJ
ejpam-6643	398	10	this	this	DET
ejpam-6643	398	11	study	study	NOUN
ejpam-6643	398	12	did	do	AUX
ejpam-6643	398	13	not	not	PART
ejpam-6643	398	14	involve	involve	VERB
ejpam-6643	398	15	human	human	ADJ
ejpam-6643	398	16	participants	participant	NOUN
ejpam-6643	398	17	or	or	CCONJ
ejpam-6643	398	18	animal	animal	NOUN
ejpam-6643	398	19	subjects	subject	NOUN
ejpam-6643	398	20	.	.	PUNCT
ejpam-6643	399	1	conflicts	conflict	NOUN
ejpam-6643	399	2	of	of	ADP
ejpam-6643	399	3	interest	interest	NOUN
ejpam-6643	399	4	the	the	DET
ejpam-6643	399	5	authors	author	NOUN
ejpam-6643	399	6	declare	declare	VERB
ejpam-6643	399	7	that	that	SCONJ
ejpam-6643	399	8	they	they	PRON
ejpam-6643	399	9	have	have	VERB
ejpam-6643	399	10	no	no	DET
ejpam-6643	399	11	competing	compete	VERB
ejpam-6643	399	12	interests	interest	NOUN
ejpam-6643	399	13	related	relate	VERB
ejpam-6643	399	14	to	to	ADP
ejpam-6643	399	15	this	this	DET
ejpam-6643	399	16	publication	publication	NOUN
ejpam-6643	399	17	.	.	PUNCT
ejpam-6643	400	1	t.	t.	PROPN
ejpam-6643	400	2	fujita	fujita	PROPN
ejpam-6643	400	3	,	,	PUNCT
ejpam-6643	400	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	400	5	/	/	SYM
ejpam-6643	400	6	eur	eur	PROPN
ejpam-6643	400	7	.	.	PUNCT
ejpam-6643	401	1	j.	j.	PROPN
ejpam-6643	401	2	pure	pure	PROPN
ejpam-6643	401	3	appl	appl	PROPN
ejpam-6643	401	4	.	.	PROPN
ejpam-6643	401	5	math	math	PROPN
ejpam-6643	401	6	,	,	PUNCT
ejpam-6643	401	7	18	18	NUM
ejpam-6643	401	8	(	(	PUNCT
ejpam-6643	401	9	4	4	NUM
ejpam-6643	401	10	)	)	PUNCT
ejpam-6643	401	11	(	(	PUNCT
ejpam-6643	401	12	2025	2025	NUM
ejpam-6643	401	13	)	)	PUNCT
ejpam-6643	401	14	,	,	PUNCT
ejpam-6643	401	15	6643	6643	NUM
ejpam-6643	401	16	22	22	NUM
ejpam-6643	401	17	of	of	ADP
ejpam-6643	401	18	27	27	NUM
ejpam-6643	401	19	funding	funding	NOUN
ejpam-6643	401	20	this	this	DET
ejpam-6643	401	21	research	research	NOUN
ejpam-6643	401	22	received	receive	VERB
ejpam-6643	401	23	no	no	DET
ejpam-6643	401	24	financial	financial	ADJ
ejpam-6643	401	25	support	support	NOUN
ejpam-6643	401	26	from	from	ADP
ejpam-6643	401	27	any	any	DET
ejpam-6643	401	28	external	external	ADJ
ejpam-6643	401	29	organization	organization	NOUN
ejpam-6643	401	30	or	or	CCONJ
ejpam-6643	401	31	funding	funding	NOUN
ejpam-6643	401	32	body	body	NOUN
ejpam-6643	401	33	.	.	PUNCT
ejpam-6643	402	1	research	research	NOUN
ejpam-6643	402	2	integrity	integrity	NOUN
ejpam-6643	402	3	we	we	PRON
ejpam-6643	402	4	confirm	confirm	VERB
ejpam-6643	402	5	that	that	SCONJ
ejpam-6643	402	6	this	this	DET
ejpam-6643	402	7	manuscript	manuscript	NOUN
ejpam-6643	402	8	reports	report	VERB
ejpam-6643	402	9	original	original	ADJ
ejpam-6643	402	10	work	work	NOUN
ejpam-6643	402	11	by	by	ADP
ejpam-6643	402	12	the	the	DET
ejpam-6643	402	13	authors	author	NOUN
ejpam-6643	402	14	,	,	PUNCT
ejpam-6643	402	15	has	have	AUX
ejpam-6643	402	16	not	not	PART
ejpam-6643	402	17	been	be	AUX
ejpam-6643	402	18	published	publish	VERB
ejpam-6643	402	19	elsewhere	elsewhere	ADV
ejpam-6643	402	20	,	,	PUNCT
ejpam-6643	402	21	and	and	CCONJ
ejpam-6643	402	22	is	be	AUX
ejpam-6643	402	23	not	not	PART
ejpam-6643	402	24	under	under	ADP
ejpam-6643	402	25	consideration	consideration	NOUN
ejpam-6643	402	26	by	by	ADP
ejpam-6643	402	27	another	another	DET
ejpam-6643	402	28	journal	journal	NOUN
ejpam-6643	402	29	.	.	PUNCT
ejpam-6643	403	1	disclaimer	disclaimer	NOUN
ejpam-6643	403	2	on	on	ADP
ejpam-6643	403	3	computational	computational	ADJ
ejpam-6643	403	4	tools	tool	NOUN
ejpam-6643	403	5	all	all	DET
ejpam-6643	403	6	proofs	proof	NOUN
ejpam-6643	403	7	and	and	CCONJ
ejpam-6643	403	8	analyses	analysis	NOUN
ejpam-6643	403	9	were	be	AUX
ejpam-6643	403	10	performed	perform	VERB
ejpam-6643	403	11	manually	manually	ADV
ejpam-6643	403	12	.	.	PUNCT
ejpam-6643	404	1	we	we	PRON
ejpam-6643	404	2	did	do	AUX
ejpam-6643	404	3	not	not	PART
ejpam-6643	404	4	employ	employ	VERB
ejpam-6643	404	5	any	any	DET
ejpam-6643	404	6	computer	computer	NOUN
ejpam-6643	404	7	algebra	algebra	NOUN
ejpam-6643	404	8	systems	system	NOUN
ejpam-6643	404	9	,	,	PUNCT
ejpam-6643	404	10	automated	automate	VERB
ejpam-6643	404	11	theorem	theorem	ADJ
ejpam-6643	404	12	provers	prover	NOUN
ejpam-6643	404	13	,	,	PUNCT
ejpam-6643	404	14	or	or	CCONJ
ejpam-6643	404	15	proof	proof	ADJ
ejpam-6643	404	16	assistants	assistant	NOUN
ejpam-6643	404	17	(	(	PUNCT
ejpam-6643	404	18	e.g.	e.g.	ADV
ejpam-6643	404	19	,	,	PUNCT
ejpam-6643	404	20	mathematica	mathematica	PROPN
ejpam-6643	404	21	,	,	PUNCT
ejpam-6643	404	22	sagemath	sagemath	NOUN
ejpam-6643	404	23	,	,	PUNCT
ejpam-6643	404	24	coq	coq	PROPN
ejpam-6643	404	25	)	)	PUNCT
ejpam-6643	404	26	.	.	PUNCT
ejpam-6643	405	1	code	code	NOUN
ejpam-6643	405	2	availability	availability	NOUN
ejpam-6643	405	3	no	no	DET
ejpam-6643	405	4	software	software	NOUN
ejpam-6643	405	5	or	or	CCONJ
ejpam-6643	405	6	source	source	NOUN
ejpam-6643	405	7	code	code	NOUN
ejpam-6643	405	8	was	be	AUX
ejpam-6643	405	9	produced	produce	VERB
ejpam-6643	405	10	for	for	ADP
ejpam-6643	405	11	this	this	DET
ejpam-6643	405	12	theoretical	theoretical	ADJ
ejpam-6643	405	13	investigation	investigation	NOUN
ejpam-6643	405	14	.	.	PUNCT
ejpam-6643	406	1	clinical	clinical	ADJ
ejpam-6643	406	2	trial	trial	NOUN
ejpam-6643	406	3	this	this	DET
ejpam-6643	406	4	study	study	NOUN
ejpam-6643	406	5	did	do	AUX
ejpam-6643	406	6	not	not	PART
ejpam-6643	406	7	include	include	VERB
ejpam-6643	406	8	any	any	DET
ejpam-6643	406	9	clinical	clinical	ADJ
ejpam-6643	406	10	trials	trial	NOUN
ejpam-6643	406	11	.	.	PUNCT
ejpam-6643	407	1	consent	consent	NOUN
ejpam-6643	407	2	to	to	PART
ejpam-6643	407	3	participate	participate	VERB
ejpam-6643	407	4	not	not	PART
ejpam-6643	407	5	applicable	applicable	ADJ
ejpam-6643	407	6	.	.	PUNCT
ejpam-6643	408	1	disclaimer	disclaimer	NOUN
ejpam-6643	408	2	on	on	ADP
ejpam-6643	408	3	scope	scope	NOUN
ejpam-6643	408	4	and	and	CCONJ
ejpam-6643	408	5	accuracy	accuracy	NOUN
ejpam-6643	408	6	the	the	DET
ejpam-6643	408	7	concepts	concept	NOUN
ejpam-6643	408	8	and	and	CCONJ
ejpam-6643	408	9	models	model	NOUN
ejpam-6643	408	10	introduced	introduce	VERB
ejpam-6643	408	11	here	here	ADV
ejpam-6643	408	12	have	have	VERB
ejpam-6643	408	13	yet	yet	ADV
ejpam-6643	408	14	to	to	PART
ejpam-6643	408	15	undergo	undergo	VERB
ejpam-6643	408	16	empirical	empirical	ADJ
ejpam-6643	408	17	testing	testing	NOUN
ejpam-6643	408	18	.	.	PUNCT
ejpam-6643	409	1	future	future	ADJ
ejpam-6643	409	2	work	work	NOUN
ejpam-6643	409	3	may	may	AUX
ejpam-6643	409	4	explore	explore	VERB
ejpam-6643	409	5	their	their	PRON
ejpam-6643	409	6	practical	practical	ADJ
ejpam-6643	409	7	applications	application	NOUN
ejpam-6643	409	8	and	and	CCONJ
ejpam-6643	409	9	rigorously	rigorously	ADV
ejpam-6643	409	10	assess	assess	VERB
ejpam-6643	409	11	their	their	PRON
ejpam-6643	409	12	validity	validity	NOUN
ejpam-6643	409	13	.	.	PUNCT
ejpam-6643	410	1	while	while	SCONJ
ejpam-6643	410	2	we	we	PRON
ejpam-6643	410	3	have	have	AUX
ejpam-6643	410	4	strived	strive	VERB
ejpam-6643	410	5	for	for	ADP
ejpam-6643	410	6	accuracy	accuracy	NOUN
ejpam-6643	410	7	and	and	CCONJ
ejpam-6643	410	8	proper	proper	ADJ
ejpam-6643	410	9	citation	citation	NOUN
ejpam-6643	410	10	,	,	PUNCT
ejpam-6643	410	11	inadvertent	inadvertent	ADJ
ejpam-6643	410	12	errors	error	NOUN
ejpam-6643	410	13	may	may	AUX
ejpam-6643	410	14	remain	remain	VERB
ejpam-6643	410	15	;	;	PUNCT
ejpam-6643	410	16	readers	reader	NOUN
ejpam-6643	410	17	are	be	AUX
ejpam-6643	410	18	encouraged	encourage	VERB
ejpam-6643	410	19	to	to	PART
ejpam-6643	410	20	consult	consult	VERB
ejpam-6643	410	21	original	original	ADJ
ejpam-6643	410	22	sources	source	NOUN
ejpam-6643	410	23	and	and	CCONJ
ejpam-6643	410	24	contact	contact	VERB
ejpam-6643	410	25	us	we	PRON
ejpam-6643	410	26	with	with	ADP
ejpam-6643	410	27	any	any	DET
ejpam-6643	410	28	questions	question	NOUN
ejpam-6643	410	29	.	.	PUNCT
ejpam-6643	411	1	the	the	DET
ejpam-6643	411	2	conclusions	conclusion	NOUN
ejpam-6643	411	3	are	be	AUX
ejpam-6643	411	4	drawn	draw	VERB
ejpam-6643	411	5	within	within	ADP
ejpam-6643	411	6	the	the	DET
ejpam-6643	411	7	specific	specific	ADJ
ejpam-6643	411	8	theoretical	theoretical	ADJ
ejpam-6643	411	9	framework	framework	NOUN
ejpam-6643	411	10	and	and	CCONJ
ejpam-6643	411	11	assumptions	assumption	NOUN
ejpam-6643	411	12	described	describe	VERB
ejpam-6643	411	13	,	,	PUNCT
ejpam-6643	411	14	and	and	CCONJ
ejpam-6643	411	15	may	may	AUX
ejpam-6643	411	16	not	not	PART
ejpam-6643	411	17	generalize	generalize	VERB
ejpam-6643	411	18	beyond	beyond	ADP
ejpam-6643	411	19	those	those	DET
ejpam-6643	411	20	boundaries	boundary	NOUN
ejpam-6643	411	21	.	.	PUNCT
ejpam-6643	412	1	all	all	DET
ejpam-6643	412	2	viewpoints	viewpoint	NOUN
ejpam-6643	412	3	expressed	express	VERB
ejpam-6643	412	4	are	be	AUX
ejpam-6643	412	5	those	those	PRON
ejpam-6643	412	6	of	of	ADP
ejpam-6643	412	7	the	the	DET
ejpam-6643	412	8	authors	author	NOUN
ejpam-6643	412	9	alone	alone	ADV
ejpam-6643	412	10	.	.	PUNCT
ejpam-6643	413	1	consent	consent	VERB
ejpam-6643	413	2	to	to	PART
ejpam-6643	413	3	publish	publish	VERB
ejpam-6643	413	4	all	all	DET
ejpam-6643	413	5	authors	author	NOUN
ejpam-6643	413	6	have	have	AUX
ejpam-6643	413	7	given	give	VERB
ejpam-6643	413	8	their	their	PRON
ejpam-6643	413	9	consent	consent	NOUN
ejpam-6643	413	10	for	for	ADP
ejpam-6643	413	11	submission	submission	NOUN
ejpam-6643	413	12	of	of	ADP
ejpam-6643	413	13	this	this	DET
ejpam-6643	413	14	manuscript	manuscript	NOUN
ejpam-6643	413	15	to	to	ADP
ejpam-6643	413	16	the	the	DET
ejpam-6643	413	17	journal	journal	NOUN
ejpam-6643	413	18	.	.	PUNCT
ejpam-6643	414	1	t.	t.	PROPN
ejpam-6643	414	2	fujita	fujita	PROPN
ejpam-6643	414	3	,	,	PUNCT
ejpam-6643	414	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	414	5	/	/	SYM
ejpam-6643	414	6	eur	eur	PROPN
ejpam-6643	414	7	.	.	PUNCT
ejpam-6643	415	1	j.	j.	PROPN
ejpam-6643	415	2	pure	pure	PROPN
ejpam-6643	415	3	appl	appl	PROPN
ejpam-6643	415	4	.	.	PROPN
ejpam-6643	415	5	math	math	PROPN
ejpam-6643	415	6	,	,	PUNCT
ejpam-6643	415	7	18	18	NUM
ejpam-6643	415	8	(	(	PUNCT
ejpam-6643	415	9	4	4	NUM
ejpam-6643	415	10	)	)	PUNCT
ejpam-6643	415	11	(	(	PUNCT
ejpam-6643	415	12	2025	2025	NUM
ejpam-6643	415	13	)	)	PUNCT
ejpam-6643	415	14	,	,	PUNCT
ejpam-6643	415	15	6643	6643	NUM
ejpam-6643	415	16	23	23	NUM
ejpam-6643	415	17	of	of	ADP
ejpam-6643	415	18	27	27	NUM
ejpam-6643	415	19	references	reference	NOUN
ejpam-6643	415	20	[	[	X
ejpam-6643	415	21	1	1	NUM
ejpam-6643	415	22	]	]	PUNCT
ejpam-6643	415	23	reinhard	reinhard	NOUN
ejpam-6643	415	24	diestel	diestel	NOUN
ejpam-6643	415	25	.	.	PUNCT
ejpam-6643	416	1	graph	graph	NOUN
ejpam-6643	416	2	theory	theory	NOUN
ejpam-6643	416	3	.	.	PUNCT
ejpam-6643	417	1	springer	springer	NOUN
ejpam-6643	417	2	(	(	PUNCT
ejpam-6643	417	3	print	print	NOUN
ejpam-6643	417	4	edition	edition	PROPN
ejpam-6643	417	5	)	)	PUNCT
ejpam-6643	417	6	;	;	PUNCT
ejpam-6643	417	7	reinhard	reinhard	NOUN
ejpam-6643	417	8	diestel	diestel	NOUN
ejpam-6643	417	9	(	(	PUNCT
ejpam-6643	417	10	ebooks	ebooks	PROPN
ejpam-6643	417	11	)	)	PUNCT
ejpam-6643	417	12	,	,	PUNCT
ejpam-6643	417	13	2024	2024	NUM
ejpam-6643	417	14	.	.	PUNCT
ejpam-6643	418	1	[	[	X
ejpam-6643	418	2	2	2	NUM
ejpam-6643	418	3	]	]	PUNCT
ejpam-6643	418	4	claude	claude	PROPN
ejpam-6643	418	5	berge	berge	PROPN
ejpam-6643	418	6	.	.	PUNCT
ejpam-6643	419	1	hypergraphs	hypergraph	NOUN
ejpam-6643	419	2	:	:	PUNCT
ejpam-6643	419	3	combinatorics	combinatoric	NOUN
ejpam-6643	419	4	of	of	ADP
ejpam-6643	419	5	finite	finite	PROPN
ejpam-6643	419	6	sets	set	NOUN
ejpam-6643	419	7	,	,	PUNCT
ejpam-6643	419	8	volume	volume	NOUN
ejpam-6643	419	9	45	45	NUM
ejpam-6643	419	10	.	.	PUNCT
ejpam-6643	420	1	elsevier	elsevier	NOUN
ejpam-6643	420	2	,	,	PUNCT
ejpam-6643	420	3	1984	1984	NUM
ejpam-6643	420	4	.	.	PUNCT
ejpam-6643	421	1	[	[	X
ejpam-6643	421	2	3	3	X
ejpam-6643	421	3	]	]	PUNCT
ejpam-6643	421	4	florentin	florentin	PROPN
ejpam-6643	421	5	smarandache	smarandache	NOUN
ejpam-6643	421	6	.	.	PUNCT
ejpam-6643	421	7	extension	extension	NOUN
ejpam-6643	421	8	of	of	ADP
ejpam-6643	421	9	hypergraph	hypergraph	NOUN
ejpam-6643	421	10	to	to	ADP
ejpam-6643	421	11	n	n	CCONJ
ejpam-6643	421	12	-	-	PUNCT
ejpam-6643	421	13	superhypergraph	superhypergraph	NOUN
ejpam-6643	421	14	and	and	CCONJ
ejpam-6643	421	15	to	to	ADP
ejpam-6643	421	16	plithogenic	plithogenic	ADJ
ejpam-6643	421	17	n	n	CCONJ
ejpam-6643	421	18	-	-	PUNCT
ejpam-6643	421	19	superhypergraph	superhypergraph	NOUN
ejpam-6643	421	20	,	,	PUNCT
ejpam-6643	421	21	and	and	CCONJ
ejpam-6643	421	22	extension	extension	NOUN
ejpam-6643	421	23	of	of	ADP
ejpam-6643	421	24	hyperalgebra	hyperalgebra	NOUN
ejpam-6643	421	25	to	to	ADP
ejpam-6643	421	26	n	n	CCONJ
ejpam-6643	421	27	-	-	PUNCT
ejpam-6643	421	28	ary	ary	PROPN
ejpam-6643	421	29	(	(	PUNCT
ejpam-6643	421	30	classical	classical	ADJ
ejpam-6643	421	31	/	/	SYM
ejpam-6643	421	32	neutro-/anti-	neutro-/anti-	NOUN
ejpam-6643	421	33	)	)	PUNCT
ejpam-6643	421	34	hyperalgebra	hyperalgebra	NOUN
ejpam-6643	421	35	.	.	PUNCT
ejpam-6643	422	1	infinite	infinite	ADJ
ejpam-6643	422	2	study	study	NOUN
ejpam-6643	422	3	,	,	PUNCT
ejpam-6643	422	4	2020	2020	NUM
ejpam-6643	422	5	.	.	PUNCT
ejpam-6643	423	1	[	[	X
ejpam-6643	423	2	4	4	NUM
ejpam-6643	423	3	]	]	PUNCT
ejpam-6643	423	4	lotfi	lotfi	X
ejpam-6643	423	5	a	a	DET
ejpam-6643	423	6	zadeh	zadeh	PROPN
ejpam-6643	423	7	.	.	PUNCT
ejpam-6643	423	8	fuzzy	fuzzy	ADJ
ejpam-6643	423	9	sets	set	NOUN
ejpam-6643	423	10	.	.	PUNCT
ejpam-6643	424	1	information	information	NOUN
ejpam-6643	424	2	and	and	CCONJ
ejpam-6643	424	3	control	control	NOUN
ejpam-6643	424	4	,	,	PUNCT
ejpam-6643	424	5	8(3):338–353	8(3):338–353	NUM
ejpam-6643	424	6	,	,	PUNCT
ejpam-6643	424	7	1965	1965	NUM
ejpam-6643	424	8	.	.	PUNCT
ejpam-6643	425	1	[	[	X
ejpam-6643	425	2	5	5	NUM
ejpam-6643	425	3	]	]	X
ejpam-6643	425	4	dmitriy	dmitriy	PROPN
ejpam-6643	425	5	molodtsov	molodtsov	PROPN
ejpam-6643	425	6	.	.	PUNCT
ejpam-6643	426	1	soft	soft	ADJ
ejpam-6643	426	2	set	set	NOUN
ejpam-6643	426	3	theory	theory	NOUN
ejpam-6643	426	4	-	-	PUNCT
ejpam-6643	426	5	first	first	ADJ
ejpam-6643	426	6	results	result	NOUN
ejpam-6643	426	7	.	.	PUNCT
ejpam-6643	427	1	computers	computer	NOUN
ejpam-6643	427	2	&	&	CCONJ
ejpam-6643	427	3	mathematics	mathematics	PROPN
ejpam-6643	427	4	with	with	ADP
ejpam-6643	427	5	applications	application	NOUN
ejpam-6643	427	6	,	,	PUNCT
ejpam-6643	427	7	37(4	37(4	PROPN
ejpam-6643	427	8	-	-	PUNCT
ejpam-6643	427	9	5):19–31	5):19–31	NUM
ejpam-6643	427	10	,	,	PUNCT
ejpam-6643	427	11	1999	1999	NUM
ejpam-6643	427	12	.	.	PUNCT
ejpam-6643	428	1	[	[	X
ejpam-6643	428	2	6	6	NUM
ejpam-6643	428	3	]	]	PUNCT
ejpam-6643	428	4	krassimir	krassimir	PROPN
ejpam-6643	428	5	t	t	PROPN
ejpam-6643	428	6	atanassov	atanassov	PROPN
ejpam-6643	428	7	and	and	CCONJ
ejpam-6643	428	8	krassimir	krassimir	PROPN
ejpam-6643	428	9	t	t	PROPN
ejpam-6643	428	10	atanassov	atanassov	NOUN
ejpam-6643	428	11	.	.	PUNCT
ejpam-6643	429	1	intuitionistic	intuitionistic	ADJ
ejpam-6643	429	2	fuzzy	fuzzy	ADJ
ejpam-6643	429	3	sets	set	NOUN
ejpam-6643	429	4	.	.	PUNCT
ejpam-6643	430	1	springer	springer	NOUN
ejpam-6643	430	2	,	,	PUNCT
ejpam-6643	430	3	1999	1999	NUM
ejpam-6643	430	4	.	.	PUNCT
ejpam-6643	431	1	[	[	X
ejpam-6643	431	2	7	7	NUM
ejpam-6643	431	3	]	]	SYM
ejpam-6643	431	4	zdzis	zdzis	NOUN
ejpam-6643	431	5	law	law	NOUN
ejpam-6643	431	6	pawlak	pawlak	NOUN
ejpam-6643	431	7	.	.	PUNCT
ejpam-6643	432	1	rough	rough	ADJ
ejpam-6643	432	2	sets	set	NOUN
ejpam-6643	432	3	.	.	PUNCT
ejpam-6643	433	1	international	international	ADJ
ejpam-6643	433	2	journal	journal	PROPN
ejpam-6643	433	3	of	of	ADP
ejpam-6643	433	4	computer	computer	PROPN
ejpam-6643	433	5	&	&	CCONJ
ejpam-6643	433	6	information	information	NOUN
ejpam-6643	433	7	sciences	sciences	PROPN
ejpam-6643	433	8	,	,	PUNCT
ejpam-6643	433	9	11:341–356	11:341–356	NUM
ejpam-6643	433	10	,	,	PUNCT
ejpam-6643	433	11	1982	1982	NUM
ejpam-6643	433	12	.	.	PUNCT
ejpam-6643	434	1	[	[	X
ejpam-6643	434	2	8	8	NUM
ejpam-6643	434	3	]	]	PUNCT
ejpam-6643	434	4	florentin	florentin	NOUN
ejpam-6643	434	5	smarandache	smarandache	NOUN
ejpam-6643	434	6	.	.	PUNCT
ejpam-6643	435	1	a	a	DET
ejpam-6643	435	2	unifying	unifying	ADJ
ejpam-6643	435	3	field	field	NOUN
ejpam-6643	435	4	in	in	ADP
ejpam-6643	435	5	logics	logic	NOUN
ejpam-6643	435	6	:	:	PUNCT
ejpam-6643	435	7	neutrosophic	neutrosophic	ADJ
ejpam-6643	435	8	logic	logic	NOUN
ejpam-6643	435	9	.	.	PUNCT
ejpam-6643	436	1	in	in	ADP
ejpam-6643	436	2	philosophy	philosophy	NOUN
ejpam-6643	436	3	,	,	PUNCT
ejpam-6643	436	4	pages	page	NOUN
ejpam-6643	436	5	1–141	1–141	NUM
ejpam-6643	436	6	.	.	PUNCT
ejpam-6643	437	1	american	american	ADJ
ejpam-6643	437	2	research	research	PROPN
ejpam-6643	437	3	press	press	PROPN
ejpam-6643	437	4	,	,	PUNCT
ejpam-6643	437	5	1999	1999	NUM
ejpam-6643	437	6	.	.	PUNCT
ejpam-6643	438	1	[	[	X
ejpam-6643	438	2	9	9	NUM
ejpam-6643	438	3	]	]	PUNCT
ejpam-6643	438	4	florentin	florentin	NOUN
ejpam-6643	438	5	smarandache	smarandache	PROPN
ejpam-6643	438	6	.	.	PUNCT
ejpam-6643	438	7	plithogeny	plithogeny	PROPN
ejpam-6643	438	8	,	,	PUNCT
ejpam-6643	438	9	plithogenic	plithogenic	ADJ
ejpam-6643	438	10	set	set	NOUN
ejpam-6643	438	11	,	,	PUNCT
ejpam-6643	438	12	logic	logic	NOUN
ejpam-6643	438	13	,	,	PUNCT
ejpam-6643	438	14	probability	probability	NOUN
ejpam-6643	438	15	,	,	PUNCT
ejpam-6643	438	16	and	and	CCONJ
ejpam-6643	438	17	statistics	statistic	NOUN
ejpam-6643	438	18	.	.	PUNCT
ejpam-6643	439	1	arxiv	arxiv	PROPN
ejpam-6643	439	2	preprint	preprint	VERB
ejpam-6643	439	3	arxiv:1808.03948	arxiv:1808.03948	NOUN
ejpam-6643	439	4	,	,	PUNCT
ejpam-6643	439	5	2018	2018	NUM
ejpam-6643	439	6	.	.	PUNCT
ejpam-6643	440	1	[	[	X
ejpam-6643	440	2	10	10	NUM
ejpam-6643	440	3	]	]	X
ejpam-6643	440	4	frank	frank	PROPN
ejpam-6643	440	5	gurski	gurski	PROPN
ejpam-6643	440	6	,	,	PUNCT
ejpam-6643	440	7	dominique	dominique	PROPN
ejpam-6643	440	8	komander	komander	PROPN
ejpam-6643	440	9	,	,	PUNCT
ejpam-6643	440	10	carolin	carolin	PROPN
ejpam-6643	440	11	rehs	reh	VERB
ejpam-6643	440	12	,	,	PUNCT
ejpam-6643	440	13	and	and	CCONJ
ejpam-6643	440	14	sebastian	sebastian	ADJ
ejpam-6643	440	15	wiederrecht	wiederrecht	NOUN
ejpam-6643	440	16	.	.	PUNCT
ejpam-6643	441	1	directed	direct	VERB
ejpam-6643	441	2	width	width	ADJ
ejpam-6643	441	3	parameters	parameter	NOUN
ejpam-6643	441	4	on	on	ADP
ejpam-6643	441	5	semicomplete	semicomplete	ADJ
ejpam-6643	441	6	digraphs	digraph	NOUN
ejpam-6643	441	7	.	.	PUNCT
ejpam-6643	442	1	in	in	ADP
ejpam-6643	442	2	combinatorial	combinatorial	ADJ
ejpam-6643	442	3	optimization	optimization	NOUN
ejpam-6643	442	4	and	and	CCONJ
ejpam-6643	442	5	applications	application	NOUN
ejpam-6643	442	6	:	:	PUNCT
ejpam-6643	442	7	15th	15th	ADJ
ejpam-6643	442	8	international	international	ADJ
ejpam-6643	442	9	conference	conference	NOUN
ejpam-6643	442	10	,	,	PUNCT
ejpam-6643	442	11	cocoa	cocoa	NOUN
ejpam-6643	442	12	2021	2021	NUM
ejpam-6643	442	13	,	,	PUNCT
ejpam-6643	442	14	tianjin	tianjin	PROPN
ejpam-6643	442	15	,	,	PUNCT
ejpam-6643	442	16	china	china	PROPN
ejpam-6643	442	17	,	,	PUNCT
ejpam-6643	442	18	december	december	PROPN
ejpam-6643	442	19	17–19	17–19	NUM
ejpam-6643	442	20	,	,	PUNCT
ejpam-6643	442	21	2021	2021	NUM
ejpam-6643	442	22	,	,	PUNCT
ejpam-6643	442	23	proceedings	proceeding	NOUN
ejpam-6643	442	24	15	15	NUM
ejpam-6643	442	25	,	,	PUNCT
ejpam-6643	442	26	pages	page	NOUN
ejpam-6643	442	27	615–628	615–628	NUM
ejpam-6643	442	28	.	.	PUNCT
ejpam-6643	442	29	springer	springer	NOUN
ejpam-6643	442	30	,	,	PUNCT
ejpam-6643	442	31	2021	2021	NUM
ejpam-6643	442	32	.	.	PUNCT
ejpam-6643	443	1	[	[	X
ejpam-6643	443	2	11	11	NUM
ejpam-6643	443	3	]	]	X
ejpam-6643	443	4	daniele	daniele	PROPN
ejpam-6643	443	5	pretolani	pretolani	PROPN
ejpam-6643	443	6	.	.	PUNCT
ejpam-6643	444	1	finding	find	VERB
ejpam-6643	444	2	hypernetworks	hypernetwork	NOUN
ejpam-6643	444	3	in	in	ADP
ejpam-6643	444	4	directed	direct	VERB
ejpam-6643	444	5	hypergraphs	hypergraph	NOUN
ejpam-6643	444	6	.	.	PUNCT
ejpam-6643	445	1	european	european	ADJ
ejpam-6643	445	2	journal	journal	PROPN
ejpam-6643	445	3	of	of	ADP
ejpam-6643	445	4	operational	operational	ADJ
ejpam-6643	445	5	research	research	NOUN
ejpam-6643	445	6	,	,	PUNCT
ejpam-6643	445	7	230(2):226–230	230(2):226–230	NUM
ejpam-6643	445	8	,	,	PUNCT
ejpam-6643	445	9	2013	2013	NUM
ejpam-6643	445	10	.	.	PUNCT
ejpam-6643	446	1	[	[	X
ejpam-6643	446	2	12	12	NUM
ejpam-6643	446	3	]	]	PUNCT
ejpam-6643	446	4	takaaki	takaaki	NOUN
ejpam-6643	446	5	fujita	fujita	PROPN
ejpam-6643	446	6	.	.	PUNCT
ejpam-6643	447	1	review	review	NOUN
ejpam-6643	447	2	of	of	ADP
ejpam-6643	447	3	some	some	DET
ejpam-6643	447	4	superhypergraph	superhypergraph	NOUN
ejpam-6643	447	5	classes	class	NOUN
ejpam-6643	447	6	:	:	PUNCT
ejpam-6643	447	7	directed	direct	VERB
ejpam-6643	447	8	,	,	PUNCT
ejpam-6643	447	9	bidirected	bidirected	ADJ
ejpam-6643	447	10	,	,	PUNCT
ejpam-6643	447	11	soft	soft	ADJ
ejpam-6643	447	12	,	,	PUNCT
ejpam-6643	447	13	and	and	CCONJ
ejpam-6643	447	14	rough	rough	ADJ
ejpam-6643	447	15	.	.	PUNCT
ejpam-6643	448	1	advancing	advance	VERB
ejpam-6643	448	2	uncertain	uncertain	ADJ
ejpam-6643	448	3	combinatorics	combinatoric	NOUN
ejpam-6643	448	4	through	through	ADP
ejpam-6643	448	5	graphization	graphization	NOUN
ejpam-6643	448	6	,	,	PUNCT
ejpam-6643	448	7	hyperization	hyperization	NOUN
ejpam-6643	448	8	,	,	PUNCT
ejpam-6643	448	9	and	and	CCONJ
ejpam-6643	448	10	uncertainization	uncertainization	NOUN
ejpam-6643	448	11	:	:	PUNCT
ejpam-6643	448	12	fuzzy	fuzzy	ADJ
ejpam-6643	448	13	,	,	PUNCT
ejpam-6643	448	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	448	15	,	,	PUNCT
ejpam-6643	448	16	soft	soft	ADJ
ejpam-6643	448	17	,	,	PUNCT
ejpam-6643	448	18	rough	rough	ADJ
ejpam-6643	448	19	,	,	PUNCT
ejpam-6643	448	20	and	and	CCONJ
ejpam-6643	448	21	beyond	beyond	ADP
ejpam-6643	448	22	(	(	PUNCT
ejpam-6643	448	23	second	second	ADJ
ejpam-6643	448	24	volume	volume	NOUN
ejpam-6643	448	25	)	)	PUNCT
ejpam-6643	448	26	,	,	PUNCT
ejpam-6643	448	27	2024	2024	NUM
ejpam-6643	448	28	.	.	PUNCT
ejpam-6643	449	1	[	[	X
ejpam-6643	449	2	13	13	NUM
ejpam-6643	449	3	]	]	X
ejpam-6643	449	4	jinta	jinta	PROPN
ejpam-6643	449	5	jose	jose	PROPN
ejpam-6643	449	6	,	,	PUNCT
ejpam-6643	449	7	bobin	bobin	NOUN
ejpam-6643	449	8	george	george	PROPN
ejpam-6643	449	9	,	,	PUNCT
ejpam-6643	449	10	and	and	CCONJ
ejpam-6643	449	11	rajesh	rajesh	PROPN
ejpam-6643	449	12	k	k	PROPN
ejpam-6643	449	13	thumbakara	thumbakara	ADV
ejpam-6643	449	14	.	.	PUNCT
ejpam-6643	450	1	soft	soft	ADJ
ejpam-6643	450	2	directed	direct	VERB
ejpam-6643	450	3	graphs	graph	NOUN
ejpam-6643	450	4	,	,	PUNCT
ejpam-6643	450	5	their	their	PRON
ejpam-6643	450	6	vertex	vertex	NOUN
ejpam-6643	450	7	degrees	degree	NOUN
ejpam-6643	450	8	,	,	PUNCT
ejpam-6643	450	9	associated	associate	VERB
ejpam-6643	450	10	matrices	matrix	NOUN
ejpam-6643	450	11	and	and	CCONJ
ejpam-6643	450	12	some	some	DET
ejpam-6643	450	13	product	product	NOUN
ejpam-6643	450	14	operations	operation	NOUN
ejpam-6643	450	15	.	.	PUNCT
ejpam-6643	451	1	new	new	ADJ
ejpam-6643	451	2	mathematics	mathematic	NOUN
ejpam-6643	451	3	and	and	CCONJ
ejpam-6643	451	4	natural	natural	ADJ
ejpam-6643	451	5	computation	computation	NOUN
ejpam-6643	451	6	,	,	PUNCT
ejpam-6643	451	7	19(03):651–686	19(03):651–686	NUM
ejpam-6643	451	8	,	,	PUNCT
ejpam-6643	451	9	2023	2023	NUM
ejpam-6643	451	10	.	.	PUNCT
ejpam-6643	452	1	[	[	X
ejpam-6643	452	2	14	14	NUM
ejpam-6643	452	3	]	]	X
ejpam-6643	452	4	jonathan	jonathan	PROPN
ejpam-6643	452	5	l	l	PROPN
ejpam-6643	452	6	gross	gross	PROPN
ejpam-6643	452	7	,	,	PUNCT
ejpam-6643	452	8	jay	jay	PROPN
ejpam-6643	452	9	yellen	yellen	VERB
ejpam-6643	452	10	,	,	PUNCT
ejpam-6643	452	11	and	and	CCONJ
ejpam-6643	452	12	mark	mark	PROPN
ejpam-6643	452	13	anderson	anderson	PROPN
ejpam-6643	452	14	.	.	PUNCT
ejpam-6643	453	1	graph	graph	NOUN
ejpam-6643	453	2	theory	theory	NOUN
ejpam-6643	453	3	and	and	CCONJ
ejpam-6643	453	4	its	its	PRON
ejpam-6643	453	5	applications	application	NOUN
ejpam-6643	453	6	.	.	PUNCT
ejpam-6643	454	1	chapman	chapman	NOUN
ejpam-6643	454	2	and	and	CCONJ
ejpam-6643	454	3	hall	hall	PROPN
ejpam-6643	454	4	/	/	SYM
ejpam-6643	454	5	crc	crc	NOUN
ejpam-6643	454	6	,	,	PUNCT
ejpam-6643	454	7	2018	2018	NUM
ejpam-6643	454	8	.	.	PUNCT
ejpam-6643	455	1	[	[	X
ejpam-6643	455	2	15	15	NUM
ejpam-6643	455	3	]	]	PUNCT
ejpam-6643	455	4	yifan	yifan	PROPN
ejpam-6643	455	5	feng	feng	PROPN
ejpam-6643	455	6	,	,	PUNCT
ejpam-6643	455	7	haoxuan	haoxuan	PROPN
ejpam-6643	455	8	you	you	PRON
ejpam-6643	455	9	,	,	PUNCT
ejpam-6643	455	10	zizhao	zizhao	PROPN
ejpam-6643	455	11	zhang	zhang	PROPN
ejpam-6643	455	12	,	,	PUNCT
ejpam-6643	455	13	rongrong	rongrong	PROPN
ejpam-6643	455	14	ji	ji	PROPN
ejpam-6643	455	15	,	,	PUNCT
ejpam-6643	455	16	and	and	CCONJ
ejpam-6643	455	17	yue	yue	PROPN
ejpam-6643	455	18	gao	gao	PROPN
ejpam-6643	455	19	.	.	PUNCT
ejpam-6643	455	20	hypergraph	hypergraph	VERB
ejpam-6643	455	21	neural	neural	ADJ
ejpam-6643	455	22	networks	network	NOUN
ejpam-6643	455	23	.	.	PUNCT
ejpam-6643	456	1	in	in	ADP
ejpam-6643	456	2	proceedings	proceeding	NOUN
ejpam-6643	456	3	of	of	ADP
ejpam-6643	456	4	the	the	DET
ejpam-6643	456	5	aaai	aaai	PROPN
ejpam-6643	456	6	conference	conference	NOUN
ejpam-6643	456	7	on	on	ADP
ejpam-6643	456	8	artificial	artificial	ADJ
ejpam-6643	456	9	intelligence	intelligence	NOUN
ejpam-6643	456	10	,	,	PUNCT
ejpam-6643	456	11	volume	volume	NOUN
ejpam-6643	456	12	33	33	NUM
ejpam-6643	456	13	,	,	PUNCT
ejpam-6643	456	14	pages	page	NOUN
ejpam-6643	456	15	3558–3565	3558–3565	NUM
ejpam-6643	456	16	,	,	PUNCT
ejpam-6643	456	17	2019	2019	NUM
ejpam-6643	456	18	.	.	PUNCT
ejpam-6643	457	1	[	[	X
ejpam-6643	457	2	16	16	NUM
ejpam-6643	457	3	]	]	X
ejpam-6643	457	4	yue	yue	PROPN
ejpam-6643	457	5	gao	gao	PROPN
ejpam-6643	457	6	,	,	PUNCT
ejpam-6643	457	7	yifan	yifan	PROPN
ejpam-6643	457	8	feng	feng	PROPN
ejpam-6643	457	9	,	,	PUNCT
ejpam-6643	457	10	shuyi	shuyi	VERB
ejpam-6643	457	11	ji	ji	PROPN
ejpam-6643	457	12	,	,	PUNCT
ejpam-6643	457	13	and	and	CCONJ
ejpam-6643	457	14	rongrong	rongrong	PROPN
ejpam-6643	457	15	ji	ji	PROPN
ejpam-6643	457	16	.	.	PROPN
ejpam-6643	458	1	hgnn+	hgnn+	PROPN
ejpam-6643	458	2	:	:	PUNCT
ejpam-6643	458	3	general	general	ADJ
ejpam-6643	458	4	hypergraph	hypergraph	VERB
ejpam-6643	458	5	neural	neural	ADJ
ejpam-6643	458	6	networks	network	NOUN
ejpam-6643	458	7	.	.	PUNCT
ejpam-6643	459	1	ieee	ieee	NOUN
ejpam-6643	459	2	transactions	transaction	NOUN
ejpam-6643	459	3	on	on	ADP
ejpam-6643	459	4	pattern	pattern	NOUN
ejpam-6643	459	5	analysis	analysis	NOUN
ejpam-6643	459	6	and	and	CCONJ
ejpam-6643	459	7	machine	machine	NOUN
ejpam-6643	459	8	intelligence	intelligence	NOUN
ejpam-6643	459	9	,	,	PUNCT
ejpam-6643	459	10	45(3):3181–3199	45(3):3181–3199	PROPN
ejpam-6643	459	11	,	,	PUNCT
ejpam-6643	459	12	2022	2022	NUM
ejpam-6643	459	13	.	.	PUNCT
ejpam-6643	460	1	[	[	X
ejpam-6643	460	2	17	17	NUM
ejpam-6643	460	3	]	]	PUNCT
ejpam-6643	460	4	takaaki	takaaki	NOUN
ejpam-6643	460	5	fujita	fujita	NOUN
ejpam-6643	460	6	and	and	CCONJ
ejpam-6643	460	7	florentin	florentin	PROPN
ejpam-6643	460	8	smarandache	smarandache	PROPN
ejpam-6643	460	9	.	.	PUNCT
ejpam-6643	461	1	fundamental	fundamental	ADJ
ejpam-6643	461	2	computational	computational	ADJ
ejpam-6643	461	3	problems	problem	NOUN
ejpam-6643	461	4	and	and	CCONJ
ejpam-6643	461	5	algorithms	algorithm	NOUN
ejpam-6643	461	6	for	for	ADP
ejpam-6643	461	7	superhypergraphs	superhypergraph	NOUN
ejpam-6643	461	8	.	.	PUNCT
ejpam-6643	462	1	hypersoft	hypersoft	PROPN
ejpam-6643	462	2	set	set	VERB
ejpam-6643	462	3	methods	method	NOUN
ejpam-6643	462	4	in	in	ADP
ejpam-6643	462	5	engineering	engineering	NOUN
ejpam-6643	462	6	,	,	PUNCT
ejpam-6643	462	7	3:32	3:32	NUM
ejpam-6643	462	8	–	–	PUNCT
ejpam-6643	462	9	61	61	NUM
ejpam-6643	462	10	,	,	PUNCT
ejpam-6643	462	11	2025	2025	NUM
ejpam-6643	462	12	.	.	PUNCT
ejpam-6643	463	1	t.	t.	PROPN
ejpam-6643	463	2	fujita	fujita	PROPN
ejpam-6643	463	3	,	,	PUNCT
ejpam-6643	463	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	463	5	/	/	SYM
ejpam-6643	463	6	eur	eur	PROPN
ejpam-6643	463	7	.	.	PUNCT
ejpam-6643	464	1	j.	j.	PROPN
ejpam-6643	464	2	pure	pure	PROPN
ejpam-6643	464	3	appl	appl	PROPN
ejpam-6643	464	4	.	.	PROPN
ejpam-6643	464	5	math	math	PROPN
ejpam-6643	464	6	,	,	PUNCT
ejpam-6643	464	7	18	18	NUM
ejpam-6643	464	8	(	(	PUNCT
ejpam-6643	464	9	4	4	NUM
ejpam-6643	464	10	)	)	PUNCT
ejpam-6643	464	11	(	(	PUNCT
ejpam-6643	464	12	2025	2025	NUM
ejpam-6643	464	13	)	)	PUNCT
ejpam-6643	464	14	,	,	PUNCT
ejpam-6643	464	15	6643	6643	NUM
ejpam-6643	464	16	24	24	NUM
ejpam-6643	464	17	of	of	ADP
ejpam-6643	464	18	27	27	NUM
ejpam-6643	464	19	[	[	SYM
ejpam-6643	464	20	18	18	NUM
ejpam-6643	464	21	]	]	X
ejpam-6643	464	22	n.	n.	PROPN
ejpam-6643	464	23	b.	b.	PROPN
ejpam-6643	464	24	nalawade	nalawade	PROPN
ejpam-6643	464	25	,	,	PUNCT
ejpam-6643	464	26	m.	m.	PROPN
ejpam-6643	464	27	s.	s.	PROPN
ejpam-6643	464	28	bapat	bapat	PROPN
ejpam-6643	464	29	,	,	PUNCT
ejpam-6643	464	30	s.	s.	PROPN
ejpam-6643	464	31	g.	g.	PROPN
ejpam-6643	464	32	jakkewad	jakkewad	PROPN
ejpam-6643	464	33	,	,	PUNCT
ejpam-6643	464	34	g.	g.	PROPN
ejpam-6643	464	35	a.	a.	PROPN
ejpam-6643	464	36	dhanorkar	dhanorkar	PROPN
ejpam-6643	464	37	,	,	PUNCT
ejpam-6643	464	38	and	and	CCONJ
ejpam-6643	464	39	d.	d.	PROPN
ejpam-6643	464	40	j.	j.	PROPN
ejpam-6643	464	41	bhosale	bhosale	PROPN
ejpam-6643	464	42	.	.	PUNCT
ejpam-6643	465	1	structural	structural	ADJ
ejpam-6643	465	2	properties	property	NOUN
ejpam-6643	465	3	of	of	ADP
ejpam-6643	465	4	zero	zero	NUM
ejpam-6643	465	5	-	-	PUNCT
ejpam-6643	465	6	divisor	divisor	NOUN
ejpam-6643	465	7	hypergraph	hypergraph	NOUN
ejpam-6643	465	8	and	and	CCONJ
ejpam-6643	465	9	superhypergraph	superhypergraph	VERB
ejpam-6643	465	10	over	over	ADP
ejpam-6643	465	11	zn	zn	PROPN
ejpam-6643	465	12	:	:	PUNCT
ejpam-6643	465	13	girth	girth	NOUN
ejpam-6643	465	14	and	and	CCONJ
ejpam-6643	465	15	helly	helly	ADV
ejpam-6643	465	16	property	property	NOUN
ejpam-6643	465	17	.	.	PUNCT
ejpam-6643	466	1	panamerican	panamerican	PROPN
ejpam-6643	466	2	mathematical	mathematical	ADJ
ejpam-6643	466	3	journal	journal	PROPN
ejpam-6643	466	4	,	,	PUNCT
ejpam-6643	466	5	35(4s):485	35(4s):485	NUM
ejpam-6643	466	6	,	,	PUNCT
ejpam-6643	466	7	2025	2025	NUM
ejpam-6643	466	8	.	.	PUNCT
ejpam-6643	467	1	[	[	X
ejpam-6643	467	2	19	19	NUM
ejpam-6643	467	3	]	]	PUNCT
ejpam-6643	467	4	takaaki	takaaki	NOUN
ejpam-6643	467	5	fujita	fujita	PROPN
ejpam-6643	467	6	.	.	PUNCT
ejpam-6643	468	1	the	the	DET
ejpam-6643	468	2	hyperfuzzy	hyperfuzzy	ADV
ejpam-6643	468	3	vikor	vikor	ADJ
ejpam-6643	468	4	and	and	CCONJ
ejpam-6643	468	5	hyperfuzzy	hyperfuzzy	VERB
ejpam-6643	468	6	dematel	dematel	NOUN
ejpam-6643	468	7	methods	method	NOUN
ejpam-6643	468	8	for	for	ADP
ejpam-6643	468	9	multicriteria	multicriteria	PROPN
ejpam-6643	468	10	decision	decision	NOUN
ejpam-6643	468	11	-	-	PUNCT
ejpam-6643	468	12	making	making	NOUN
ejpam-6643	468	13	.	.	PUNCT
ejpam-6643	469	1	spectrum	spectrum	NOUN
ejpam-6643	469	2	of	of	ADP
ejpam-6643	469	3	decision	decision	NOUN
ejpam-6643	469	4	making	making	NOUN
ejpam-6643	469	5	and	and	CCONJ
ejpam-6643	469	6	applications	application	NOUN
ejpam-6643	469	7	,	,	PUNCT
ejpam-6643	469	8	3(1):292	3(1):292	NUM
ejpam-6643	469	9	–	–	PUNCT
ejpam-6643	469	10	315	315	NUM
ejpam-6643	469	11	,	,	PUNCT
ejpam-6643	469	12	2026	2026	NUM
ejpam-6643	469	13	.	.	PUNCT
ejpam-6643	470	1	[	[	X
ejpam-6643	470	2	20	20	NUM
ejpam-6643	470	3	]	]	PUNCT
ejpam-6643	470	4	florentin	florentin	PROPN
ejpam-6643	470	5	smarandache	smarandache	PROPN
ejpam-6643	470	6	.	.	PUNCT
ejpam-6643	471	1	hyperuncertain	hyperuncertain	PROPN
ejpam-6643	471	2	,	,	PUNCT
ejpam-6643	471	3	superuncertain	superuncertain	VERB
ejpam-6643	471	4	,	,	PUNCT
ejpam-6643	471	5	and	and	CCONJ
ejpam-6643	471	6	superhyperuncertain	superhyperuncertain	ADJ
ejpam-6643	471	7	sets	set	NOUN
ejpam-6643	471	8	/	/	SYM
ejpam-6643	471	9	logics	logic	NOUN
ejpam-6643	471	10	/	/	SYM
ejpam-6643	471	11	probabilities	probability	NOUN
ejpam-6643	471	12	/	/	SYM
ejpam-6643	471	13	statistics	statistic	NOUN
ejpam-6643	471	14	.	.	PUNCT
ejpam-6643	472	1	infinite	infinite	ADJ
ejpam-6643	472	2	study	study	NOUN
ejpam-6643	472	3	,	,	PUNCT
ejpam-6643	472	4	2017	2017	NUM
ejpam-6643	472	5	.	.	PUNCT
ejpam-6643	473	1	[	[	X
ejpam-6643	473	2	21	21	NUM
ejpam-6643	473	3	]	]	X
ejpam-6643	473	4	yong	yong	PROPN
ejpam-6643	473	5	lin	lin	PROPN
ejpam-6643	473	6	liu	liu	PROPN
ejpam-6643	473	7	,	,	PUNCT
ejpam-6643	473	8	hee	hee	PROPN
ejpam-6643	473	9	sik	sik	CCONJ
ejpam-6643	473	10	kim	kim	PROPN
ejpam-6643	473	11	,	,	PUNCT
ejpam-6643	473	12	and	and	CCONJ
ejpam-6643	473	13	j.	j.	PROPN
ejpam-6643	473	14	neggers	neggers	PROPN
ejpam-6643	473	15	.	.	PUNCT
ejpam-6643	474	1	hyperfuzzy	hyperfuzzy	ADJ
ejpam-6643	474	2	subsets	subset	NOUN
ejpam-6643	474	3	and	and	CCONJ
ejpam-6643	474	4	subgroupoids	subgroupoid	NOUN
ejpam-6643	474	5	.	.	PUNCT
ejpam-6643	475	1	j.	j.	PROPN
ejpam-6643	475	2	intell	intell	PROPN
ejpam-6643	475	3	.	.	PUNCT
ejpam-6643	476	1	fuzzy	fuzzy	ADJ
ejpam-6643	476	2	syst	syst	PROPN
ejpam-6643	476	3	.	.	PUNCT
ejpam-6643	476	4	,	,	PUNCT
ejpam-6643	476	5	33:1553–1562	33:1553–1562	NUM
ejpam-6643	476	6	,	,	PUNCT
ejpam-6643	476	7	2017	2017	NUM
ejpam-6643	476	8	.	.	PUNCT
ejpam-6643	477	1	[	[	X
ejpam-6643	477	2	22	22	NUM
ejpam-6643	477	3	]	]	X
ejpam-6643	477	4	zeshui	zeshui	PROPN
ejpam-6643	478	1	xu	xu	PROPN
ejpam-6643	478	2	.	.	PUNCT
ejpam-6643	479	1	hesitant	hesitant	ADJ
ejpam-6643	479	2	fuzzy	fuzzy	ADJ
ejpam-6643	479	3	sets	set	NOUN
ejpam-6643	479	4	theory	theory	NOUN
ejpam-6643	479	5	,	,	PUNCT
ejpam-6643	479	6	volume	volume	NOUN
ejpam-6643	479	7	314	314	NUM
ejpam-6643	479	8	.	.	PUNCT
ejpam-6643	479	9	springer	springer	NOUN
ejpam-6643	479	10	,	,	PUNCT
ejpam-6643	479	11	2014	2014	NUM
ejpam-6643	479	12	.	.	PUNCT
ejpam-6643	480	1	[	[	X
ejpam-6643	480	2	23	23	NUM
ejpam-6643	480	3	]	]	PUNCT
ejpam-6643	480	4	vicenç	vicenç	PROPN
ejpam-6643	480	5	torra	torra	VERB
ejpam-6643	480	6	and	and	CCONJ
ejpam-6643	480	7	yasuo	yasuo	NOUN
ejpam-6643	480	8	narukawa	narukawa	NOUN
ejpam-6643	480	9	.	.	PUNCT
ejpam-6643	481	1	on	on	ADP
ejpam-6643	481	2	hesitant	hesitant	ADJ
ejpam-6643	481	3	fuzzy	fuzzy	ADJ
ejpam-6643	481	4	sets	set	NOUN
ejpam-6643	481	5	and	and	CCONJ
ejpam-6643	481	6	decision	decision	NOUN
ejpam-6643	481	7	.	.	PUNCT
ejpam-6643	482	1	in	in	ADP
ejpam-6643	482	2	2009	2009	NUM
ejpam-6643	482	3	ieee	ieee	NOUN
ejpam-6643	482	4	international	international	ADJ
ejpam-6643	482	5	conference	conference	NOUN
ejpam-6643	482	6	on	on	ADP
ejpam-6643	482	7	fuzzy	fuzzy	ADJ
ejpam-6643	482	8	systems	system	NOUN
ejpam-6643	482	9	,	,	PUNCT
ejpam-6643	482	10	pages	page	NOUN
ejpam-6643	482	11	1378–1382	1378–1382	NUM
ejpam-6643	482	12	.	.	PUNCT
ejpam-6643	483	1	ieee	ieee	PROPN
ejpam-6643	483	2	,	,	PUNCT
ejpam-6643	483	3	2009	2009	NUM
ejpam-6643	483	4	.	.	PUNCT
ejpam-6643	484	1	[	[	X
ejpam-6643	484	2	24	24	NUM
ejpam-6643	484	3	]	]	X
ejpam-6643	484	4	bui	bui	PROPN
ejpam-6643	484	5	cong	cong	NOUN
ejpam-6643	484	6	cuong	cuong	PROPN
ejpam-6643	484	7	and	and	CCONJ
ejpam-6643	484	8	vladik	vladik	PROPN
ejpam-6643	484	9	kreinovich	kreinovich	PROPN
ejpam-6643	484	10	.	.	PUNCT
ejpam-6643	485	1	picture	picture	NOUN
ejpam-6643	485	2	fuzzy	fuzzy	ADJ
ejpam-6643	485	3	sets	set	NOUN
ejpam-6643	485	4	-	-	PUNCT
ejpam-6643	485	5	a	a	DET
ejpam-6643	485	6	new	new	ADJ
ejpam-6643	485	7	concept	concept	NOUN
ejpam-6643	485	8	for	for	ADP
ejpam-6643	485	9	computational	computational	ADJ
ejpam-6643	485	10	intelligence	intelligence	NOUN
ejpam-6643	485	11	problems	problem	NOUN
ejpam-6643	485	12	.	.	PUNCT
ejpam-6643	486	1	in	in	ADP
ejpam-6643	486	2	2013	2013	NUM
ejpam-6643	486	3	third	third	ADJ
ejpam-6643	486	4	world	world	NOUN
ejpam-6643	486	5	congress	congress	PROPN
ejpam-6643	486	6	on	on	ADP
ejpam-6643	486	7	information	information	NOUN
ejpam-6643	486	8	and	and	CCONJ
ejpam-6643	486	9	communication	communication	NOUN
ejpam-6643	486	10	technologies	technology	NOUN
ejpam-6643	486	11	(	(	PUNCT
ejpam-6643	486	12	wict	wict	NOUN
ejpam-6643	486	13	2013	2013	NUM
ejpam-6643	486	14	)	)	PUNCT
ejpam-6643	486	15	,	,	PUNCT
ejpam-6643	486	16	pages	page	NOUN
ejpam-6643	486	17	1–6	1–6	NUM
ejpam-6643	486	18	.	.	PUNCT
ejpam-6643	486	19	ieee	ieee	PROPN
ejpam-6643	486	20	,	,	PUNCT
ejpam-6643	486	21	2013	2013	NUM
ejpam-6643	486	22	.	.	PUNCT
ejpam-6643	487	1	[	[	X
ejpam-6643	487	2	25	25	NUM
ejpam-6643	487	3	]	]	PUNCT
ejpam-6643	487	4	said	say	VERB
ejpam-6643	487	5	broumi	broumi	PROPN
ejpam-6643	487	6	,	,	PUNCT
ejpam-6643	487	7	mohamed	mohamed	PROPN
ejpam-6643	487	8	talea	talea	PROPN
ejpam-6643	487	9	,	,	PUNCT
ejpam-6643	487	10	assia	assia	PROPN
ejpam-6643	487	11	bakali	bakali	VERB
ejpam-6643	487	12	,	,	PUNCT
ejpam-6643	487	13	and	and	CCONJ
ejpam-6643	487	14	florentin	florentin	PROPN
ejpam-6643	487	15	smarandache	smarandache	NOUN
ejpam-6643	487	16	.	.	PUNCT
ejpam-6643	488	1	single	single	ADJ
ejpam-6643	488	2	valued	value	VERB
ejpam-6643	488	3	neutrosophic	neutrosophic	ADJ
ejpam-6643	488	4	graphs	graph	NOUN
ejpam-6643	488	5	.	.	PUNCT
ejpam-6643	489	1	journal	journal	NOUN
ejpam-6643	489	2	of	of	ADP
ejpam-6643	489	3	new	new	ADJ
ejpam-6643	489	4	theory	theory	NOUN
ejpam-6643	489	5	,	,	PUNCT
ejpam-6643	489	6	(	(	PUNCT
ejpam-6643	489	7	10):86–101	10):86–101	PROPN
ejpam-6643	489	8	,	,	PUNCT
ejpam-6643	489	9	2016	2016	NUM
ejpam-6643	489	10	.	.	PUNCT
ejpam-6643	490	1	[	[	X
ejpam-6643	490	2	26	26	NUM
ejpam-6643	490	3	]	]	PUNCT
ejpam-6643	490	4	said	say	VERB
ejpam-6643	490	5	broumi	broumi	PROPN
ejpam-6643	490	6	,	,	PUNCT
ejpam-6643	490	7	mohamed	mohamed	PROPN
ejpam-6643	490	8	talea	talea	PROPN
ejpam-6643	490	9	,	,	PUNCT
ejpam-6643	490	10	assia	assia	PROPN
ejpam-6643	490	11	bakali	bakali	VERB
ejpam-6643	490	12	,	,	PUNCT
ejpam-6643	490	13	and	and	CCONJ
ejpam-6643	490	14	florentin	florentin	PROPN
ejpam-6643	490	15	smarandache	smarandache	NOUN
ejpam-6643	490	16	.	.	PUNCT
ejpam-6643	491	1	interval	interval	NOUN
ejpam-6643	491	2	valued	value	VERB
ejpam-6643	491	3	neutrosophic	neutrosophic	ADJ
ejpam-6643	491	4	graphs	graph	NOUN
ejpam-6643	491	5	.	.	PUNCT
ejpam-6643	492	1	critical	critical	ADJ
ejpam-6643	492	2	review	review	NOUN
ejpam-6643	492	3	,	,	PUNCT
ejpam-6643	492	4	xii	xii	PROPN
ejpam-6643	492	5	,	,	PUNCT
ejpam-6643	492	6	2016:5–33	2016:5–33	NUM
ejpam-6643	492	7	,	,	PUNCT
ejpam-6643	492	8	2016	2016	NUM
ejpam-6643	492	9	.	.	PUNCT
ejpam-6643	493	1	[	[	X
ejpam-6643	493	2	27	27	NUM
ejpam-6643	493	3	]	]	SYM
ejpam-6643	493	4	pradip	pradip	NOUN
ejpam-6643	493	5	kumar	kumar	PROPN
ejpam-6643	493	6	maji	maji	PROPN
ejpam-6643	493	7	,	,	PUNCT
ejpam-6643	493	8	ranjit	ranjit	PROPN
ejpam-6643	493	9	biswas	biswas	PROPN
ejpam-6643	493	10	,	,	PUNCT
ejpam-6643	493	11	and	and	CCONJ
ejpam-6643	493	12	a	a	DET
ejpam-6643	493	13	ranjan	ranjan	PROPN
ejpam-6643	493	14	roy	roy	PROPN
ejpam-6643	493	15	.	.	PROPN
ejpam-6643	493	16	soft	soft	ADJ
ejpam-6643	493	17	set	set	NOUN
ejpam-6643	493	18	theory	theory	NOUN
ejpam-6643	493	19	.	.	PUNCT
ejpam-6643	494	1	computers	computer	NOUN
ejpam-6643	494	2	&	&	CCONJ
ejpam-6643	494	3	mathematics	mathematics	PROPN
ejpam-6643	494	4	with	with	ADP
ejpam-6643	494	5	applications	application	NOUN
ejpam-6643	494	6	,	,	PUNCT
ejpam-6643	494	7	45(4	45(4	NOUN
ejpam-6643	494	8	-	-	PUNCT
ejpam-6643	494	9	5):555–562	5):555–562	NUM
ejpam-6643	494	10	,	,	PUNCT
ejpam-6643	494	11	2003	2003	NUM
ejpam-6643	494	12	.	.	PUNCT
ejpam-6643	495	1	[	[	X
ejpam-6643	495	2	28	28	NUM
ejpam-6643	495	3	]	]	X
ejpam-6643	495	4	takaaki	takaaki	NOUN
ejpam-6643	495	5	fujita	fujita	NOUN
ejpam-6643	495	6	and	and	CCONJ
ejpam-6643	495	7	florentin	florentin	PROPN
ejpam-6643	495	8	smarandache	smarandache	PROPN
ejpam-6643	495	9	.	.	PUNCT
ejpam-6643	496	1	an	an	DET
ejpam-6643	496	2	introduction	introduction	NOUN
ejpam-6643	496	3	to	to	ADP
ejpam-6643	496	4	advanced	advanced	ADJ
ejpam-6643	496	5	soft	soft	ADJ
ejpam-6643	496	6	set	set	ADJ
ejpam-6643	496	7	variants	variant	NOUN
ejpam-6643	496	8	:	:	PUNCT
ejpam-6643	496	9	superhypersoft	superhypersoft	PROPN
ejpam-6643	496	10	sets	set	VERB
ejpam-6643	496	11	,	,	PUNCT
ejpam-6643	496	12	indetermsuperhypersoft	indetermsuperhypersoft	NOUN
ejpam-6643	496	13	sets	set	NOUN
ejpam-6643	496	14	,	,	PUNCT
ejpam-6643	496	15	indetermtreesoft	indetermtreesoft	ADJ
ejpam-6643	496	16	sets	set	NOUN
ejpam-6643	496	17	,	,	PUNCT
ejpam-6643	496	18	bihypersoft	bihypersoft	NOUN
ejpam-6643	496	19	sets	set	NOUN
ejpam-6643	496	20	,	,	PUNCT
ejpam-6643	496	21	graphicsoft	graphicsoft	PROPN
ejpam-6643	496	22	sets	set	NOUN
ejpam-6643	496	23	,	,	PUNCT
ejpam-6643	496	24	and	and	CCONJ
ejpam-6643	496	25	beyond	beyond	ADP
ejpam-6643	496	26	.	.	PUNCT
ejpam-6643	496	27	neutrosophic	neutrosophic	ADJ
ejpam-6643	496	28	sets	set	NOUN
ejpam-6643	496	29	and	and	CCONJ
ejpam-6643	496	30	systems	system	NOUN
ejpam-6643	496	31	,	,	PUNCT
ejpam-6643	496	32	82:817	82:817	NUM
ejpam-6643	496	33	–	–	PUNCT
ejpam-6643	496	34	843	843	NUM
ejpam-6643	496	35	,	,	PUNCT
ejpam-6643	496	36	2025	2025	NUM
ejpam-6643	496	37	.	.	PUNCT
ejpam-6643	497	1	[	[	X
ejpam-6643	497	2	29	29	NUM
ejpam-6643	497	3	]	]	X
ejpam-6643	497	4	manal	manal	PROPN
ejpam-6643	497	5	elzain	elzain	PROPN
ejpam-6643	497	6	mohamed	mohamed	PROPN
ejpam-6643	497	7	abdalla	abdalla	PROPN
ejpam-6643	497	8	,	,	PUNCT
ejpam-6643	497	9	anns	anns	PROPN
ejpam-6643	497	10	uzair	uzair	PROPN
ejpam-6643	497	11	,	,	PUNCT
ejpam-6643	497	12	aiiman	aiiman	NOUN
ejpam-6643	497	13	ishtiaq	ishtiaq	PROPN
ejpam-6643	497	14	,	,	PUNCT
ejpam-6643	497	15	muhammad	muhammad	PROPN
ejpam-6643	497	16	tahir	tahir	PROPN
ejpam-6643	497	17	,	,	PUNCT
ejpam-6643	497	18	and	and	CCONJ
ejpam-6643	497	19	muhammad	muhammad	PROPN
ejpam-6643	497	20	kamran	kamran	PROPN
ejpam-6643	497	21	.	.	PUNCT
ejpam-6643	498	1	algebraic	algebraic	ADJ
ejpam-6643	498	2	structures	structure	NOUN
ejpam-6643	498	3	and	and	CCONJ
ejpam-6643	498	4	practical	practical	ADJ
ejpam-6643	498	5	implications	implication	NOUN
ejpam-6643	498	6	of	of	ADP
ejpam-6643	498	7	intervalvalued	intervalvalue	VERB
ejpam-6643	498	8	fermatean	fermatean	PROPN
ejpam-6643	498	9	neutrosophic	neutrosophic	PROPN
ejpam-6643	498	10	super	super	PROPN
ejpam-6643	498	11	hypersoft	hypersoft	PROPN
ejpam-6643	498	12	sets	set	NOUN
ejpam-6643	498	13	in	in	ADP
ejpam-6643	498	14	healthcare	healthcare	PROPN
ejpam-6643	498	15	.	.	PUNCT
ejpam-6643	499	1	spectrum	spectrum	NOUN
ejpam-6643	499	2	of	of	ADP
ejpam-6643	499	3	operational	operational	ADJ
ejpam-6643	499	4	research	research	NOUN
ejpam-6643	499	5	,	,	PUNCT
ejpam-6643	499	6	2(1):199–218	2(1):199–218	NOUN
ejpam-6643	499	7	,	,	PUNCT
ejpam-6643	499	8	2025	2025	NUM
ejpam-6643	499	9	.	.	PUNCT
ejpam-6643	500	1	[	[	X
ejpam-6643	500	2	30	30	NUM
ejpam-6643	500	3	]	]	X
ejpam-6643	500	4	takaaki	takaaki	NOUN
ejpam-6643	500	5	fujita	fujita	NOUN
ejpam-6643	500	6	and	and	CCONJ
ejpam-6643	500	7	florentin	florentin	PROPN
ejpam-6643	500	8	smarandache	smarandache	PROPN
ejpam-6643	500	9	.	.	PUNCT
ejpam-6643	501	1	a	a	DET
ejpam-6643	501	2	concise	concise	ADJ
ejpam-6643	501	3	introduction	introduction	NOUN
ejpam-6643	501	4	to	to	ADP
ejpam-6643	501	5	hyperfuzzy	hyperfuzzy	PROPN
ejpam-6643	501	6	,	,	PUNCT
ejpam-6643	501	7	hyperneutrosophic	hyperneutrosophic	ADJ
ejpam-6643	501	8	,	,	PUNCT
ejpam-6643	501	9	hyperplithogenic	hyperplithogenic	ADJ
ejpam-6643	501	10	,	,	PUNCT
ejpam-6643	501	11	hypersoft	hypersoft	NOUN
ejpam-6643	501	12	,	,	PUNCT
ejpam-6643	501	13	and	and	CCONJ
ejpam-6643	501	14	hyperrough	hyperrough	NOUN
ejpam-6643	501	15	sets	set	VERB
ejpam-6643	501	16	with	with	ADP
ejpam-6643	501	17	practical	practical	ADJ
ejpam-6643	501	18	examples	example	NOUN
ejpam-6643	501	19	.	.	PUNCT
ejpam-6643	502	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	502	2	sets	set	NOUN
ejpam-6643	502	3	and	and	CCONJ
ejpam-6643	502	4	systems	system	NOUN
ejpam-6643	502	5	,	,	PUNCT
ejpam-6643	502	6	80:609–631	80:609–631	NUM
ejpam-6643	502	7	,	,	PUNCT
ejpam-6643	502	8	2025	2025	NUM
ejpam-6643	502	9	.	.	PUNCT
ejpam-6643	503	1	[	[	X
ejpam-6643	503	2	31	31	NUM
ejpam-6643	503	3	]	]	PUNCT
ejpam-6643	503	4	florentin	florentin	PROPN
ejpam-6643	503	5	smarandache	smarandache	NOUN
ejpam-6643	503	6	.	.	PUNCT
ejpam-6643	504	1	extension	extension	NOUN
ejpam-6643	504	2	of	of	ADP
ejpam-6643	504	3	soft	soft	ADJ
ejpam-6643	504	4	set	set	NOUN
ejpam-6643	504	5	to	to	ADP
ejpam-6643	504	6	hypersoft	hypersoft	PROPN
ejpam-6643	504	7	set	set	PROPN
ejpam-6643	504	8	,	,	PUNCT
ejpam-6643	504	9	and	and	CCONJ
ejpam-6643	504	10	then	then	ADV
ejpam-6643	504	11	to	to	ADP
ejpam-6643	504	12	plithogenic	plithogenic	ADJ
ejpam-6643	504	13	hypersoft	hypersoft	PROPN
ejpam-6643	504	14	set	set	PROPN
ejpam-6643	504	15	.	.	PUNCT
ejpam-6643	505	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	505	2	sets	set	NOUN
ejpam-6643	505	3	and	and	CCONJ
ejpam-6643	505	4	systems	system	NOUN
ejpam-6643	505	5	,	,	PUNCT
ejpam-6643	505	6	22(1):168–170	22(1):168–170	PROPN
ejpam-6643	505	7	,	,	PUNCT
ejpam-6643	505	8	2018	2018	NUM
ejpam-6643	505	9	.	.	PUNCT
ejpam-6643	506	1	[	[	X
ejpam-6643	506	2	32	32	NUM
ejpam-6643	506	3	]	]	PUNCT
ejpam-6643	506	4	florentin	florentin	PROPN
ejpam-6643	506	5	smarandache	smarandache	NOUN
ejpam-6643	506	6	.	.	PUNCT
ejpam-6643	507	1	plithogenic	plithogenic	PROPN
ejpam-6643	507	2	set	set	PROPN
ejpam-6643	507	3	,	,	PUNCT
ejpam-6643	507	4	an	an	DET
ejpam-6643	507	5	extension	extension	NOUN
ejpam-6643	507	6	of	of	ADP
ejpam-6643	507	7	crisp	crisp	ADJ
ejpam-6643	507	8	,	,	PUNCT
ejpam-6643	507	9	fuzzy	fuzzy	ADJ
ejpam-6643	507	10	,	,	PUNCT
ejpam-6643	507	11	intuitionistic	intuitionistic	ADJ
ejpam-6643	507	12	fuzzy	fuzzy	ADJ
ejpam-6643	507	13	,	,	PUNCT
ejpam-6643	507	14	and	and	CCONJ
ejpam-6643	507	15	neutrosophic	neutrosophic	ADJ
ejpam-6643	507	16	sets	set	NOUN
ejpam-6643	507	17	-	-	PUNCT
ejpam-6643	507	18	revisited	revisit	VERB
ejpam-6643	507	19	.	.	PUNCT
ejpam-6643	508	1	infinite	infinite	ADJ
ejpam-6643	508	2	study	study	NOUN
ejpam-6643	508	3	,	,	PUNCT
ejpam-6643	508	4	2018	2018	NUM
ejpam-6643	508	5	.	.	PUNCT
ejpam-6643	509	1	[	[	X
ejpam-6643	509	2	33	33	NUM
ejpam-6643	509	3	]	]	PUNCT
ejpam-6643	509	4	muhammad	muhammad	PROPN
ejpam-6643	509	5	azeem	azeem	PROPN
ejpam-6643	509	6	,	,	PUNCT
ejpam-6643	509	7	humera	humera	PROPN
ejpam-6643	509	8	rashid	rashid	PROPN
ejpam-6643	509	9	,	,	PUNCT
ejpam-6643	509	10	muhammad	muhammad	PROPN
ejpam-6643	509	11	kamran	kamran	PROPN
ejpam-6643	509	12	jamil	jamil	PROPN
ejpam-6643	509	13	,	,	PUNCT
ejpam-6643	509	14	selma	selma	PROPN
ejpam-6643	509	15	gütmen	gütmen	PROPN
ejpam-6643	509	16	,	,	PUNCT
ejpam-6643	509	17	and	and	CCONJ
ejpam-6643	509	18	erfan	erfan	PROPN
ejpam-6643	509	19	babaee	babaee	PROPN
ejpam-6643	509	20	tirkolaee	tirkolaee	PROPN
ejpam-6643	509	21	.	.	PUNCT
ejpam-6643	510	1	plithogenic	plithogenic	ADJ
ejpam-6643	510	2	fuzzy	fuzzy	ADJ
ejpam-6643	510	3	graph	graph	NOUN
ejpam-6643	510	4	:	:	PUNCT
ejpam-6643	510	5	a	a	DET
ejpam-6643	510	6	study	study	NOUN
ejpam-6643	510	7	of	of	ADP
ejpam-6643	510	8	fundamental	fundamental	ADJ
ejpam-6643	510	9	properties	property	NOUN
ejpam-6643	510	10	and	and	CCONJ
ejpam-6643	510	11	potential	potential	ADJ
ejpam-6643	510	12	applications	application	NOUN
ejpam-6643	510	13	.	.	PUNCT
ejpam-6643	511	1	journal	journal	NOUN
ejpam-6643	511	2	of	of	ADP
ejpam-6643	511	3	dynamics	dynamic	NOUN
ejpam-6643	511	4	and	and	CCONJ
ejpam-6643	511	5	games	game	NOUN
ejpam-6643	511	6	,	,	PUNCT
ejpam-6643	511	7	pages	page	NOUN
ejpam-6643	511	8	0–0	0–0	NUM
ejpam-6643	511	9	,	,	PUNCT
ejpam-6643	511	10	2024	2024	NUM
ejpam-6643	511	11	.	.	PUNCT
ejpam-6643	512	1	[	[	X
ejpam-6643	512	2	34	34	NUM
ejpam-6643	512	3	]	]	X
ejpam-6643	512	4	fazeelat	fazeelat	ADJ
ejpam-6643	512	5	sultana	sultana	NOUN
ejpam-6643	512	6	,	,	PUNCT
ejpam-6643	512	7	muhammad	muhammad	PROPN
ejpam-6643	512	8	gulistan	gulistan	PROPN
ejpam-6643	512	9	,	,	PUNCT
ejpam-6643	512	10	mumtaz	mumtaz	PROPN
ejpam-6643	512	11	ali	ali	PROPN
ejpam-6643	512	12	,	,	PUNCT
ejpam-6643	512	13	naveed	naveed	PROPN
ejpam-6643	512	14	yaqoob	yaqoob	PROPN
ejpam-6643	512	15	,	,	PUNCT
ejpam-6643	512	16	muhammad	muhammad	PROPN
ejpam-6643	512	17	khan	khan	PROPN
ejpam-6643	512	18	,	,	PUNCT
ejpam-6643	512	19	tabasam	tabasam	PROPN
ejpam-6643	512	20	rashid	rashid	PROPN
ejpam-6643	512	21	,	,	PUNCT
ejpam-6643	512	22	and	and	CCONJ
ejpam-6643	512	23	tauseef	tauseef	PROPN
ejpam-6643	512	24	ahmed	ahmed	PROPN
ejpam-6643	512	25	.	.	PUNCT
ejpam-6643	513	1	a	a	DET
ejpam-6643	513	2	study	study	NOUN
ejpam-6643	513	3	of	of	ADP
ejpam-6643	513	4	plithogenic	plithogenic	ADJ
ejpam-6643	513	5	graphs	graph	NOUN
ejpam-6643	513	6	:	:	PUNCT
ejpam-6643	513	7	applications	application	NOUN
ejpam-6643	513	8	in	in	ADP
ejpam-6643	513	9	spreading	spread	VERB
ejpam-6643	513	10	coronavirus	coronavirus	NOUN
ejpam-6643	513	11	disease	disease	NOUN
ejpam-6643	513	12	(	(	PUNCT
ejpam-6643	513	13	covid-19	covid-19	PROPN
ejpam-6643	513	14	)	)	PUNCT
ejpam-6643	513	15	globally	globally	ADV
ejpam-6643	513	16	.	.	PUNCT
ejpam-6643	514	1	journal	journal	PROPN
ejpam-6643	514	2	of	of	ADP
ejpam-6643	514	3	ambient	ambient	ADJ
ejpam-6643	514	4	t.	t.	PROPN
ejpam-6643	514	5	fujita	fujita	PROPN
ejpam-6643	514	6	,	,	PUNCT
ejpam-6643	514	7	f.smarandache	f.smarandache	NOUN
ejpam-6643	514	8	/	/	SYM
ejpam-6643	514	9	eur	eur	PROPN
ejpam-6643	514	10	.	.	PUNCT
ejpam-6643	515	1	j.	j.	PROPN
ejpam-6643	515	2	pure	pure	PROPN
ejpam-6643	515	3	appl	appl	PROPN
ejpam-6643	515	4	.	.	PROPN
ejpam-6643	515	5	math	math	PROPN
ejpam-6643	515	6	,	,	PUNCT
ejpam-6643	515	7	18	18	NUM
ejpam-6643	515	8	(	(	PUNCT
ejpam-6643	515	9	4	4	NUM
ejpam-6643	515	10	)	)	PUNCT
ejpam-6643	515	11	(	(	PUNCT
ejpam-6643	515	12	2025	2025	NUM
ejpam-6643	515	13	)	)	PUNCT
ejpam-6643	515	14	,	,	PUNCT
ejpam-6643	515	15	6643	6643	NUM
ejpam-6643	515	16	25	25	NUM
ejpam-6643	515	17	of	of	ADP
ejpam-6643	515	18	27	27	NUM
ejpam-6643	515	19	intelligence	intelligence	NOUN
ejpam-6643	515	20	and	and	CCONJ
ejpam-6643	515	21	humanized	humanize	VERB
ejpam-6643	515	22	computing	computing	NOUN
ejpam-6643	515	23	,	,	PUNCT
ejpam-6643	515	24	14(10):13139–13159	14(10):13139–13159	NUM
ejpam-6643	515	25	,	,	PUNCT
ejpam-6643	515	26	2023	2023	NUM
ejpam-6643	515	27	.	.	PUNCT
ejpam-6643	516	1	[	[	X
ejpam-6643	516	2	35	35	NUM
ejpam-6643	516	3	]	]	X
ejpam-6643	516	4	azriel	azriel	PROPN
ejpam-6643	516	5	rosenfeld	rosenfeld	PROPN
ejpam-6643	516	6	.	.	PUNCT
ejpam-6643	517	1	fuzzy	fuzzy	ADJ
ejpam-6643	517	2	graphs	graph	NOUN
ejpam-6643	517	3	.	.	PUNCT
ejpam-6643	518	1	in	in	ADP
ejpam-6643	518	2	fuzzy	fuzzy	ADJ
ejpam-6643	518	3	sets	set	NOUN
ejpam-6643	518	4	and	and	CCONJ
ejpam-6643	518	5	their	their	PRON
ejpam-6643	518	6	applications	application	NOUN
ejpam-6643	518	7	to	to	PART
ejpam-6643	518	8	cognitive	cognitive	VERB
ejpam-6643	518	9	and	and	CCONJ
ejpam-6643	518	10	decision	decision	NOUN
ejpam-6643	518	11	processes	process	NOUN
ejpam-6643	518	12	,	,	PUNCT
ejpam-6643	518	13	pages	page	NOUN
ejpam-6643	518	14	77–95	77–95	NUM
ejpam-6643	518	15	.	.	PUNCT
ejpam-6643	519	1	elsevier	elsevier	NOUN
ejpam-6643	519	2	,	,	PUNCT
ejpam-6643	519	3	1975	1975	NUM
ejpam-6643	519	4	.	.	PUNCT
ejpam-6643	520	1	[	[	X
ejpam-6643	520	2	36	36	NUM
ejpam-6643	520	3	]	]	X
ejpam-6643	520	4	hossein	hossein	PROPN
ejpam-6643	520	5	rashmanlou	rashmanlou	PROPN
ejpam-6643	520	6	,	,	PUNCT
ejpam-6643	520	7	sovan	sovan	PROPN
ejpam-6643	520	8	samanta	samanta	PROPN
ejpam-6643	520	9	,	,	PUNCT
ejpam-6643	520	10	madhumangal	madhumangal	ADJ
ejpam-6643	520	11	pal	pal	NOUN
ejpam-6643	520	12	,	,	PUNCT
ejpam-6643	520	13	and	and	CCONJ
ejpam-6643	520	14	rajab	rajab	PROPN
ejpam-6643	520	15	ali	ali	PROPN
ejpam-6643	520	16	borzooei	borzooei	PROPN
ejpam-6643	520	17	.	.	PUNCT
ejpam-6643	521	1	intuitionistic	intuitionistic	ADJ
ejpam-6643	521	2	fuzzy	fuzzy	ADJ
ejpam-6643	521	3	graphs	graph	NOUN
ejpam-6643	521	4	with	with	ADP
ejpam-6643	521	5	categorical	categorical	ADJ
ejpam-6643	521	6	properties	property	NOUN
ejpam-6643	521	7	.	.	PUNCT
ejpam-6643	522	1	fuzzy	fuzzy	ADJ
ejpam-6643	522	2	information	information	NOUN
ejpam-6643	522	3	and	and	CCONJ
ejpam-6643	522	4	engineering	engineering	NOUN
ejpam-6643	522	5	,	,	PUNCT
ejpam-6643	522	6	7(3):317–334	7(3):317–334	NUM
ejpam-6643	522	7	,	,	PUNCT
ejpam-6643	522	8	2015	2015	NUM
ejpam-6643	522	9	.	.	PUNCT
ejpam-6643	523	1	[	[	X
ejpam-6643	523	2	37	37	NUM
ejpam-6643	523	3	]	]	PUNCT
ejpam-6643	523	4	takaaki	takaaki	NOUN
ejpam-6643	523	5	fujita	fujita	PROPN
ejpam-6643	523	6	.	.	PUNCT
ejpam-6643	524	1	a	a	DET
ejpam-6643	524	2	short	short	ADJ
ejpam-6643	524	3	note	note	NOUN
ejpam-6643	524	4	on	on	ADP
ejpam-6643	524	5	the	the	DET
ejpam-6643	524	6	basic	basic	ADJ
ejpam-6643	524	7	graph	graph	NOUN
ejpam-6643	524	8	construction	construction	NOUN
ejpam-6643	524	9	algorithm	algorithm	NOUN
ejpam-6643	524	10	for	for	ADP
ejpam-6643	524	11	plithogenic	plithogenic	ADJ
ejpam-6643	524	12	graphs	graph	NOUN
ejpam-6643	524	13	.	.	PUNCT
ejpam-6643	525	1	advancing	advance	VERB
ejpam-6643	525	2	uncertain	uncertain	ADJ
ejpam-6643	525	3	combinatorics	combinatoric	NOUN
ejpam-6643	525	4	through	through	ADP
ejpam-6643	525	5	graphization	graphization	NOUN
ejpam-6643	525	6	,	,	PUNCT
ejpam-6643	525	7	hyperization	hyperization	NOUN
ejpam-6643	525	8	,	,	PUNCT
ejpam-6643	525	9	and	and	CCONJ
ejpam-6643	525	10	uncertainization	uncertainization	NOUN
ejpam-6643	525	11	:	:	PUNCT
ejpam-6643	525	12	fuzzy	fuzzy	ADJ
ejpam-6643	525	13	,	,	PUNCT
ejpam-6643	525	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	525	15	,	,	PUNCT
ejpam-6643	525	16	soft	soft	ADJ
ejpam-6643	525	17	,	,	PUNCT
ejpam-6643	525	18	rough	rough	ADJ
ejpam-6643	525	19	,	,	PUNCT
ejpam-6643	525	20	and	and	CCONJ
ejpam-6643	525	21	beyond	beyond	ADP
ejpam-6643	525	22	,	,	PUNCT
ejpam-6643	525	23	page	page	NOUN
ejpam-6643	525	24	274	274	NUM
ejpam-6643	525	25	,	,	PUNCT
ejpam-6643	525	26	2025	2025	NUM
ejpam-6643	525	27	.	.	PUNCT
ejpam-6643	526	1	[	[	X
ejpam-6643	526	2	38	38	NUM
ejpam-6643	526	3	]	]	PUNCT
ejpam-6643	526	4	r.	r.	PROPN
ejpam-6643	526	5	jahir	jahir	PROPN
ejpam-6643	526	6	hussain	hussain	PROPN
ejpam-6643	526	7	and	and	CCONJ
ejpam-6643	526	8	m.	m.	PROPN
ejpam-6643	526	9	s.	s.	PROPN
ejpam-6643	526	10	afya	afya	PROPN
ejpam-6643	526	11	farhana	farhana	PROPN
ejpam-6643	526	12	.	.	PUNCT
ejpam-6643	527	1	fuzzy	fuzzy	ADJ
ejpam-6643	527	2	chromatic	chromatic	ADJ
ejpam-6643	527	3	number	number	NOUN
ejpam-6643	527	4	of	of	ADP
ejpam-6643	527	5	fuzzy	fuzzy	ADJ
ejpam-6643	527	6	soft	soft	ADJ
ejpam-6643	527	7	cycle	cycle	NOUN
ejpam-6643	527	8	and	and	CCONJ
ejpam-6643	527	9	complete	complete	ADJ
ejpam-6643	527	10	fuzzy	fuzzy	ADJ
ejpam-6643	527	11	soft	soft	ADJ
ejpam-6643	527	12	graphs	graph	NOUN
ejpam-6643	527	13	.	.	PUNCT
ejpam-6643	528	1	aip	aip	PROPN
ejpam-6643	528	2	conference	conference	NOUN
ejpam-6643	528	3	proceedings	proceeding	NOUN
ejpam-6643	528	4	,	,	PUNCT
ejpam-6643	528	5	2023	2023	NUM
ejpam-6643	528	6	.	.	PUNCT
ejpam-6643	529	1	[	[	X
ejpam-6643	529	2	39	39	NUM
ejpam-6643	529	3	]	]	PUNCT
ejpam-6643	529	4	muhammad	muhammad	PROPN
ejpam-6643	529	5	akram	akram	PROPN
ejpam-6643	529	6	,	,	PUNCT
ejpam-6643	529	7	a	a	DET
ejpam-6643	529	8	nagoor	nagoor	NOUN
ejpam-6643	529	9	gani	gani	NOUN
ejpam-6643	529	10	,	,	PUNCT
ejpam-6643	529	11	and	and	CCONJ
ejpam-6643	529	12	a	a	DET
ejpam-6643	529	13	borumand	borumand	ADJ
ejpam-6643	529	14	saeid	saeid	PROPN
ejpam-6643	529	15	.	.	PUNCT
ejpam-6643	530	1	vague	vague	ADJ
ejpam-6643	530	2	hypergraphs	hypergraph	NOUN
ejpam-6643	530	3	.	.	PUNCT
ejpam-6643	531	1	journal	journal	NOUN
ejpam-6643	531	2	of	of	ADP
ejpam-6643	531	3	intelligent	intelligent	ADJ
ejpam-6643	531	4	&	&	CCONJ
ejpam-6643	531	5	fuzzy	fuzzy	ADJ
ejpam-6643	531	6	systems	system	NOUN
ejpam-6643	531	7	,	,	PUNCT
ejpam-6643	531	8	26(2):647–653	26(2):647–653	NUM
ejpam-6643	531	9	,	,	PUNCT
ejpam-6643	531	10	2014	2014	NUM
ejpam-6643	531	11	.	.	PUNCT
ejpam-6643	532	1	[	[	X
ejpam-6643	532	2	40	40	NUM
ejpam-6643	532	3	]	]	PUNCT
ejpam-6643	532	4	muhammad	muhammad	PROPN
ejpam-6643	532	5	akram	akram	PROPN
ejpam-6643	532	6	and	and	CCONJ
ejpam-6643	532	7	anam	anam	PROPN
ejpam-6643	532	8	luqman	luqman	PROPN
ejpam-6643	532	9	.	.	PUNCT
ejpam-6643	533	1	hypergraphs	hypergraphs	PROPN
ejpam-6643	533	2	for	for	ADP
ejpam-6643	533	3	interval	interval	NOUN
ejpam-6643	533	4	-	-	PUNCT
ejpam-6643	533	5	valued	value	VERB
ejpam-6643	533	6	structures	structure	NOUN
ejpam-6643	533	7	.	.	PUNCT
ejpam-6643	534	1	in	in	ADP
ejpam-6643	534	2	fuzzy	fuzzy	ADJ
ejpam-6643	534	3	hypergraphs	hypergraph	NOUN
ejpam-6643	534	4	and	and	CCONJ
ejpam-6643	534	5	related	related	ADJ
ejpam-6643	534	6	extensions	extension	NOUN
ejpam-6643	534	7	,	,	PUNCT
ejpam-6643	534	8	pages	page	NOUN
ejpam-6643	534	9	125–154	125–154	NUM
ejpam-6643	534	10	.	.	PUNCT
ejpam-6643	534	11	springer	springer	NOUN
ejpam-6643	534	12	,	,	PUNCT
ejpam-6643	534	13	2020	2020	NUM
ejpam-6643	534	14	.	.	PUNCT
ejpam-6643	535	1	[	[	X
ejpam-6643	535	2	41	41	NUM
ejpam-6643	535	3	]	]	PUNCT
ejpam-6643	535	4	takaaki	takaaki	NOUN
ejpam-6643	535	5	fujita	fujita	PROPN
ejpam-6643	535	6	.	.	PUNCT
ejpam-6643	536	1	review	review	NOUN
ejpam-6643	536	2	of	of	ADP
ejpam-6643	536	3	rough	rough	ADJ
ejpam-6643	536	4	turiyam	turiyam	NOUN
ejpam-6643	536	5	neutrosophic	neutrosophic	ADJ
ejpam-6643	536	6	directed	direct	VERB
ejpam-6643	536	7	graphs	graph	NOUN
ejpam-6643	536	8	and	and	CCONJ
ejpam-6643	536	9	rough	rough	ADJ
ejpam-6643	536	10	pentapartitioned	pentapartitioned	ADJ
ejpam-6643	536	11	neutrosophic	neutrosophic	ADJ
ejpam-6643	536	12	directed	direct	VERB
ejpam-6643	536	13	graphs	graph	NOUN
ejpam-6643	536	14	.	.	PUNCT
ejpam-6643	537	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	537	2	optimization	optimization	NOUN
ejpam-6643	537	3	and	and	CCONJ
ejpam-6643	537	4	intelligent	intelligent	ADJ
ejpam-6643	537	5	systems	system	NOUN
ejpam-6643	537	6	,	,	PUNCT
ejpam-6643	537	7	5:48–79	5:48–79	NUM
ejpam-6643	537	8	,	,	PUNCT
ejpam-6643	537	9	2025	2025	NUM
ejpam-6643	537	10	.	.	PUNCT
ejpam-6643	538	1	[	[	X
ejpam-6643	538	2	42	42	NUM
ejpam-6643	538	3	]	]	X
ejpam-6643	538	4	meike	meike	ADJ
ejpam-6643	538	5	hatzel	hatzel	NOUN
ejpam-6643	538	6	.	.	PUNCT
ejpam-6643	539	1	dualities	duality	NOUN
ejpam-6643	539	2	in	in	ADP
ejpam-6643	539	3	graphs	graph	NOUN
ejpam-6643	539	4	and	and	CCONJ
ejpam-6643	539	5	digraphs	digraph	NOUN
ejpam-6643	539	6	.	.	PUNCT
ejpam-6643	540	1	universitätsverlag	universitätsverlag	NOUN
ejpam-6643	540	2	der	der	ADJ
ejpam-6643	540	3	technischen	technischen	NOUN
ejpam-6643	540	4	universität	universität	PROPN
ejpam-6643	540	5	berlin	berlin	PROPN
ejpam-6643	540	6	,	,	PUNCT
ejpam-6643	540	7	2023	2023	NUM
ejpam-6643	540	8	.	.	PUNCT
ejpam-6643	541	1	[	[	X
ejpam-6643	541	2	43	43	NUM
ejpam-6643	541	3	]	]	X
ejpam-6643	541	4	muhammad	muhammad	PROPN
ejpam-6643	541	5	akram	akram	PROPN
ejpam-6643	541	6	and	and	CCONJ
ejpam-6643	541	7	anam	anam	PROPN
ejpam-6643	541	8	luqman	luqman	PROPN
ejpam-6643	541	9	.	.	PUNCT
ejpam-6643	542	1	a	a	DET
ejpam-6643	542	2	new	new	ADJ
ejpam-6643	542	3	decision	decision	NOUN
ejpam-6643	542	4	-	-	PUNCT
ejpam-6643	542	5	making	make	VERB
ejpam-6643	542	6	method	method	NOUN
ejpam-6643	542	7	based	base	VERB
ejpam-6643	542	8	on	on	ADP
ejpam-6643	542	9	bipolar	bipolar	ADJ
ejpam-6643	542	10	neutrosophic	neutrosophic	ADJ
ejpam-6643	542	11	directed	direct	VERB
ejpam-6643	542	12	hypergraphs	hypergraph	NOUN
ejpam-6643	542	13	.	.	PUNCT
ejpam-6643	543	1	journal	journal	PROPN
ejpam-6643	543	2	of	of	ADP
ejpam-6643	543	3	applied	apply	VERB
ejpam-6643	543	4	mathematics	mathematic	NOUN
ejpam-6643	543	5	and	and	CCONJ
ejpam-6643	543	6	computing	computing	NOUN
ejpam-6643	543	7	,	,	PUNCT
ejpam-6643	543	8	57:547	57:547	NUM
ejpam-6643	543	9	–	–	PUNCT
ejpam-6643	543	10	575	575	NUM
ejpam-6643	543	11	,	,	PUNCT
ejpam-6643	543	12	2017	2017	NUM
ejpam-6643	543	13	.	.	PUNCT
ejpam-6643	544	1	[	[	X
ejpam-6643	544	2	44	44	NUM
ejpam-6643	544	3	]	]	X
ejpam-6643	544	4	sathyanarayanan	sathyanarayanan	PROPN
ejpam-6643	544	5	gopalakrishnan	gopalakrishnan	PROPN
ejpam-6643	544	6	,	,	PUNCT
ejpam-6643	544	7	supriya	supriya	PROPN
ejpam-6643	544	8	sridharan	sridharan	ADJ
ejpam-6643	544	9	,	,	PUNCT
ejpam-6643	544	10	soumya	soumya	PROPN
ejpam-6643	544	11	ranjan	ranjan	PROPN
ejpam-6643	544	12	nayak	nayak	PROPN
ejpam-6643	544	13	,	,	PUNCT
ejpam-6643	544	14	janmenjoy	janmenjoy	PROPN
ejpam-6643	544	15	nayak	nayak	PROPN
ejpam-6643	544	16	,	,	PUNCT
ejpam-6643	544	17	and	and	CCONJ
ejpam-6643	544	18	swaminathan	swaminathan	ADV
ejpam-6643	544	19	venkataraman	venkataraman	PROPN
ejpam-6643	544	20	.	.	PUNCT
ejpam-6643	545	1	central	central	ADJ
ejpam-6643	545	2	hubs	hub	NOUN
ejpam-6643	545	3	prediction	prediction	NOUN
ejpam-6643	545	4	for	for	ADP
ejpam-6643	545	5	bio	bio	PROPN
ejpam-6643	545	6	networks	network	NOUN
ejpam-6643	545	7	by	by	ADP
ejpam-6643	545	8	directed	direct	VERB
ejpam-6643	545	9	hypergraph	hypergraph	NOUN
ejpam-6643	545	10	-	-	PUNCT
ejpam-6643	545	11	ga	ga	NOUN
ejpam-6643	545	12	with	with	ADP
ejpam-6643	545	13	validation	validation	NOUN
ejpam-6643	545	14	to	to	ADP
ejpam-6643	545	15	covid-19	covid-19	PROPN
ejpam-6643	545	16	ppi	ppi	PROPN
ejpam-6643	545	17	.	.	PROPN
ejpam-6643	545	18	pattern	pattern	NOUN
ejpam-6643	545	19	recognition	recognition	NOUN
ejpam-6643	545	20	letters	letter	NOUN
ejpam-6643	545	21	,	,	PUNCT
ejpam-6643	545	22	153:246–253	153:246–253	NUM
ejpam-6643	545	23	,	,	PUNCT
ejpam-6643	545	24	2022	2022	NUM
ejpam-6643	545	25	.	.	PUNCT
ejpam-6643	546	1	[	[	X
ejpam-6643	546	2	45	45	NUM
ejpam-6643	546	3	]	]	PUNCT
ejpam-6643	546	4	waheed	waheed	PROPN
ejpam-6643	546	5	ahmad	ahmad	PROPN
ejpam-6643	546	6	khan	khan	PROPN
ejpam-6643	546	7	,	,	PUNCT
ejpam-6643	546	8	waqar	waqar	PROPN
ejpam-6643	546	9	arif	arif	PROPN
ejpam-6643	546	10	,	,	PUNCT
ejpam-6643	546	11	quoc	quoc	PROPN
ejpam-6643	546	12	hung	hang	VERB
ejpam-6643	546	13	nguyen	nguyen	NOUN
ejpam-6643	546	14	,	,	PUNCT
ejpam-6643	546	15	thanh	thanh	PROPN
ejpam-6643	546	16	trung	trung	PROPN
ejpam-6643	546	17	le	le	PROPN
ejpam-6643	546	18	,	,	PUNCT
ejpam-6643	546	19	and	and	CCONJ
ejpam-6643	546	20	hai	hai	PROPN
ejpam-6643	546	21	van	van	PROPN
ejpam-6643	546	22	pham	pham	PROPN
ejpam-6643	546	23	.	.	PUNCT
ejpam-6643	547	1	picture	picture	NOUN
ejpam-6643	547	2	fuzzy	fuzzy	ADJ
ejpam-6643	547	3	directed	direct	VERB
ejpam-6643	547	4	hypergraphs	hypergraph	NOUN
ejpam-6643	547	5	with	with	ADP
ejpam-6643	547	6	applications	application	NOUN
ejpam-6643	547	7	towards	towards	ADP
ejpam-6643	547	8	decisionmaking	decisionmake	VERB
ejpam-6643	547	9	and	and	CCONJ
ejpam-6643	547	10	managing	manage	VERB
ejpam-6643	547	11	hazardous	hazardous	ADJ
ejpam-6643	547	12	chemicals	chemical	NOUN
ejpam-6643	547	13	.	.	PUNCT
ejpam-6643	548	1	ieee	ieee	NOUN
ejpam-6643	548	2	access	access	NOUN
ejpam-6643	548	3	,	,	PUNCT
ejpam-6643	548	4	2024	2024	NUM
ejpam-6643	548	5	.	.	PUNCT
ejpam-6643	549	1	[	[	X
ejpam-6643	549	2	46	46	NUM
ejpam-6643	549	3	]	]	X
ejpam-6643	549	4	zitong	zitong	PROPN
ejpam-6643	549	5	ma	ma	PROPN
ejpam-6643	549	6	,	,	PUNCT
ejpam-6643	549	7	wenbo	wenbo	PROPN
ejpam-6643	549	8	zhao	zhao	PROPN
ejpam-6643	549	9	,	,	PUNCT
ejpam-6643	549	10	and	and	CCONJ
ejpam-6643	549	11	zhe	zhe	PROPN
ejpam-6643	549	12	yang	yang	PROPN
ejpam-6643	549	13	.	.	PROPN
ejpam-6643	549	14	directed	direct	VERB
ejpam-6643	549	15	hypergraph	hypergraph	NOUN
ejpam-6643	549	16	representation	representation	NOUN
ejpam-6643	549	17	learning	learn	VERB
ejpam-6643	549	18	for	for	ADP
ejpam-6643	549	19	link	link	NOUN
ejpam-6643	549	20	prediction	prediction	NOUN
ejpam-6643	549	21	.	.	PUNCT
ejpam-6643	550	1	in	in	ADP
ejpam-6643	550	2	international	international	ADJ
ejpam-6643	550	3	conference	conference	NOUN
ejpam-6643	550	4	on	on	ADP
ejpam-6643	550	5	artificial	artificial	ADJ
ejpam-6643	550	6	intelligence	intelligence	NOUN
ejpam-6643	550	7	and	and	CCONJ
ejpam-6643	550	8	statistics	statistic	NOUN
ejpam-6643	550	9	,	,	PUNCT
ejpam-6643	550	10	pages	page	NOUN
ejpam-6643	550	11	3268–3276	3268–3276	NUM
ejpam-6643	550	12	.	.	PUNCT
ejpam-6643	550	13	pmlr	pmlr	NOUN
ejpam-6643	550	14	,	,	PUNCT
ejpam-6643	550	15	2024	2024	NUM
ejpam-6643	550	16	.	.	PUNCT
ejpam-6643	551	1	[	[	X
ejpam-6643	551	2	47	47	NUM
ejpam-6643	551	3	]	]	PUNCT
ejpam-6643	551	4	alain	alain	PROPN
ejpam-6643	551	5	bretto	bretto	PROPN
ejpam-6643	551	6	.	.	PUNCT
ejpam-6643	552	1	hypergraph	hypergraph	PROPN
ejpam-6643	552	2	theory	theory	NOUN
ejpam-6643	552	3	.	.	PUNCT
ejpam-6643	553	1	an	an	DET
ejpam-6643	553	2	introduction	introduction	NOUN
ejpam-6643	553	3	.	.	PUNCT
ejpam-6643	554	1	mathematical	mathematical	ADJ
ejpam-6643	554	2	engineering	engineering	NOUN
ejpam-6643	554	3	.	.	PUNCT
ejpam-6643	555	1	cham	cham	PROPN
ejpam-6643	555	2	:	:	PUNCT
ejpam-6643	555	3	springer	springer	NOUN
ejpam-6643	555	4	,	,	PUNCT
ejpam-6643	555	5	1	1	NUM
ejpam-6643	555	6	,	,	PUNCT
ejpam-6643	555	7	2013	2013	NUM
ejpam-6643	555	8	.	.	PUNCT
ejpam-6643	556	1	[	[	X
ejpam-6643	556	2	48	48	NUM
ejpam-6643	556	3	]	]	PUNCT
ejpam-6643	556	4	takaaki	takaaki	NOUN
ejpam-6643	556	5	fujita	fujita	PROPN
ejpam-6643	556	6	.	.	PUNCT
ejpam-6643	557	1	review	review	NOUN
ejpam-6643	557	2	of	of	ADP
ejpam-6643	557	3	probabilistic	probabilistic	ADJ
ejpam-6643	557	4	hypergraph	hypergraph	NOUN
ejpam-6643	557	5	and	and	CCONJ
ejpam-6643	557	6	probabilistic	probabilistic	ADJ
ejpam-6643	557	7	superhypergraph	superhypergraph	NOUN
ejpam-6643	557	8	.	.	PUNCT
ejpam-6643	558	1	spectrum	spectrum	NOUN
ejpam-6643	558	2	of	of	ADP
ejpam-6643	558	3	operational	operational	ADJ
ejpam-6643	558	4	research	research	NOUN
ejpam-6643	558	5	,	,	PUNCT
ejpam-6643	558	6	3(1):319–338	3(1):319–338	NUM
ejpam-6643	558	7	,	,	PUNCT
ejpam-6643	558	8	2026	2026	NUM
ejpam-6643	558	9	.	.	PUNCT
ejpam-6643	559	1	[	[	X
ejpam-6643	559	2	49	49	NUM
ejpam-6643	559	3	]	]	PUNCT
ejpam-6643	559	4	takaaki	takaaki	NOUN
ejpam-6643	559	5	fujita	fujita	PROPN
ejpam-6643	559	6	.	.	PUNCT
ejpam-6643	559	7	extensions	extension	NOUN
ejpam-6643	559	8	of	of	ADP
ejpam-6643	559	9	multidirected	multidirected	ADJ
ejpam-6643	559	10	graphs	graph	NOUN
ejpam-6643	559	11	:	:	PUNCT
ejpam-6643	559	12	fuzzy	fuzzy	ADJ
ejpam-6643	559	13	,	,	PUNCT
ejpam-6643	559	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	559	15	,	,	PUNCT
ejpam-6643	559	16	plithogenic	plithogenic	ADJ
ejpam-6643	559	17	,	,	PUNCT
ejpam-6643	559	18	rough	rough	ADJ
ejpam-6643	559	19	,	,	PUNCT
ejpam-6643	559	20	soft	soft	ADJ
ejpam-6643	559	21	,	,	PUNCT
ejpam-6643	559	22	hypergraph	hypergraph	VERB
ejpam-6643	559	23	,	,	PUNCT
ejpam-6643	559	24	and	and	CCONJ
ejpam-6643	559	25	superhypergraph	superhypergraph	ADJ
ejpam-6643	559	26	variants	variant	NOUN
ejpam-6643	559	27	.	.	PUNCT
ejpam-6643	560	1	international	international	ADJ
ejpam-6643	560	2	journal	journal	PROPN
ejpam-6643	560	3	of	of	ADP
ejpam-6643	560	4	topology	topology	NOUN
ejpam-6643	560	5	,	,	PUNCT
ejpam-6643	560	6	2(3):11	2(3):11	NUM
ejpam-6643	560	7	,	,	PUNCT
ejpam-6643	560	8	2025	2025	NUM
ejpam-6643	560	9	.	.	PUNCT
ejpam-6643	561	1	[	[	X
ejpam-6643	561	2	50	50	NUM
ejpam-6643	561	3	]	]	X
ejpam-6643	561	4	mohammad	mohammad	PROPN
ejpam-6643	561	5	hamidi	hamidi	PROPN
ejpam-6643	561	6	,	,	PUNCT
ejpam-6643	561	7	florentin	florentin	NOUN
ejpam-6643	561	8	smarandache	smarandache	NOUN
ejpam-6643	561	9	,	,	PUNCT
ejpam-6643	561	10	and	and	CCONJ
ejpam-6643	561	11	mohadeseh	mohadeseh	PROPN
ejpam-6643	561	12	taghinezhad	taghinezhad	VERB
ejpam-6643	561	13	.	.	PUNCT
ejpam-6643	562	1	decision	decision	NOUN
ejpam-6643	562	2	making	making	NOUN
ejpam-6643	562	3	based	base	VERB
ejpam-6643	562	4	on	on	ADP
ejpam-6643	562	5	valued	value	VERB
ejpam-6643	562	6	fuzzy	fuzzy	ADJ
ejpam-6643	562	7	superhypergraphs	superhypergraph	NOUN
ejpam-6643	562	8	.	.	PUNCT
ejpam-6643	563	1	infinite	infinite	ADJ
ejpam-6643	563	2	study	study	NOUN
ejpam-6643	563	3	,	,	PUNCT
ejpam-6643	563	4	2023	2023	NUM
ejpam-6643	563	5	.	.	PUNCT
ejpam-6643	564	1	[	[	X
ejpam-6643	564	2	51	51	NUM
ejpam-6643	564	3	]	]	PUNCT
ejpam-6643	564	4	takaaki	takaaki	NOUN
ejpam-6643	564	5	fujita	fujita	PROPN
ejpam-6643	564	6	.	.	PUNCT
ejpam-6643	565	1	hypergraph	hypergraph	NOUN
ejpam-6643	565	2	containers	container	NOUN
ejpam-6643	565	3	and	and	CCONJ
ejpam-6643	565	4	their	their	PRON
ejpam-6643	565	5	generalization	generalization	NOUN
ejpam-6643	565	6	to	to	ADP
ejpam-6643	565	7	super	super	ADJ
ejpam-6643	565	8	-	-	ADJ
ejpam-6643	565	9	hyper	hyper	ADJ
ejpam-6643	565	10	-	-	ADJ
ejpam-6643	565	11	graph	graph	NOUN
ejpam-6643	565	12	t.	t.	PROPN
ejpam-6643	565	13	fujita	fujita	PROPN
ejpam-6643	565	14	,	,	PUNCT
ejpam-6643	565	15	f.smarandache	f.smarandache	NOUN
ejpam-6643	565	16	/	/	SYM
ejpam-6643	565	17	eur	eur	PROPN
ejpam-6643	565	18	.	.	PUNCT
ejpam-6643	566	1	j.	j.	PROPN
ejpam-6643	566	2	pure	pure	PROPN
ejpam-6643	566	3	appl	appl	PROPN
ejpam-6643	566	4	.	.	PROPN
ejpam-6643	566	5	math	math	PROPN
ejpam-6643	566	6	,	,	PUNCT
ejpam-6643	566	7	18	18	NUM
ejpam-6643	566	8	(	(	PUNCT
ejpam-6643	566	9	4	4	NUM
ejpam-6643	566	10	)	)	PUNCT
ejpam-6643	566	11	(	(	PUNCT
ejpam-6643	566	12	2025	2025	NUM
ejpam-6643	566	13	)	)	PUNCT
ejpam-6643	566	14	,	,	PUNCT
ejpam-6643	566	15	6643	6643	NUM
ejpam-6643	566	16	26	26	NUM
ejpam-6643	566	17	of	of	ADP
ejpam-6643	566	18	27	27	NUM
ejpam-6643	566	19	containers	container	NOUN
ejpam-6643	566	20	.	.	PUNCT
ejpam-6643	567	1	abhath	abhath	PROPN
ejpam-6643	567	2	journal	journal	PROPN
ejpam-6643	567	3	of	of	ADP
ejpam-6643	567	4	basic	basic	ADJ
ejpam-6643	567	5	and	and	CCONJ
ejpam-6643	567	6	applied	applied	ADJ
ejpam-6643	567	7	sciences	science	NOUN
ejpam-6643	567	8	,	,	PUNCT
ejpam-6643	567	9	4(1):94–107	4(1):94–107	NUM
ejpam-6643	567	10	,	,	PUNCT
ejpam-6643	567	11	2025	2025	NUM
ejpam-6643	567	12	.	.	PUNCT
ejpam-6643	568	1	[	[	X
ejpam-6643	568	2	52	52	NUM
ejpam-6643	568	3	]	]	PUNCT
ejpam-6643	568	4	yasar	yasar	PROPN
ejpam-6643	568	5	nacaroglu	nacaroglu	PROPN
ejpam-6643	568	6	,	,	PUNCT
ejpam-6643	568	7	nihat	nihat	PROPN
ejpam-6643	568	8	akgunes	akgune	NOUN
ejpam-6643	568	9	,	,	PUNCT
ejpam-6643	568	10	sedat	sedat	PROPN
ejpam-6643	568	11	pak	pak	PROPN
ejpam-6643	568	12	,	,	PUNCT
ejpam-6643	568	13	and	and	CCONJ
ejpam-6643	568	14	i	i	PROPN
ejpam-6643	568	15	naci	naci	PROPN
ejpam-6643	568	16	cangul	cangul	PROPN
ejpam-6643	568	17	.	.	PUNCT
ejpam-6643	569	1	some	some	DET
ejpam-6643	569	2	graph	graph	NOUN
ejpam-6643	569	3	parameters	parameter	NOUN
ejpam-6643	569	4	of	of	ADP
ejpam-6643	569	5	power	power	NOUN
ejpam-6643	569	6	set	set	NOUN
ejpam-6643	569	7	graphs	graph	NOUN
ejpam-6643	569	8	.	.	PUNCT
ejpam-6643	570	1	advances	advance	NOUN
ejpam-6643	570	2	&	&	CCONJ
ejpam-6643	570	3	applications	application	NOUN
ejpam-6643	570	4	in	in	ADP
ejpam-6643	570	5	discrete	discrete	ADJ
ejpam-6643	570	6	mathematics	mathematic	NOUN
ejpam-6643	570	7	,	,	PUNCT
ejpam-6643	570	8	26(2	26(2	NUM
ejpam-6643	570	9	)	)	PUNCT
ejpam-6643	570	10	,	,	PUNCT
ejpam-6643	570	11	2021	2021	NUM
ejpam-6643	570	12	.	.	PUNCT
ejpam-6643	571	1	[	[	X
ejpam-6643	571	2	53	53	NUM
ejpam-6643	571	3	]	]	PUNCT
ejpam-6643	571	4	takaaki	takaaki	NOUN
ejpam-6643	571	5	fujita	fujita	PROPN
ejpam-6643	571	6	.	.	PUNCT
ejpam-6643	572	1	superhypermagma	superhypermagma	PROPN
ejpam-6643	572	2	,	,	PUNCT
ejpam-6643	572	3	lie	lie	NOUN
ejpam-6643	572	4	superhypergroup	superhypergroup	NOUN
ejpam-6643	572	5	,	,	PUNCT
ejpam-6643	572	6	quotient	quotient	NOUN
ejpam-6643	572	7	superhypergroups	superhypergroup	NOUN
ejpam-6643	572	8	,	,	PUNCT
ejpam-6643	572	9	and	and	CCONJ
ejpam-6643	572	10	reduced	reduced	ADJ
ejpam-6643	572	11	superhypergroups	superhypergroup	NOUN
ejpam-6643	572	12	.	.	PUNCT
ejpam-6643	573	1	international	international	ADJ
ejpam-6643	573	2	journal	journal	PROPN
ejpam-6643	573	3	of	of	ADP
ejpam-6643	573	4	topology	topology	NOUN
ejpam-6643	573	5	,	,	PUNCT
ejpam-6643	573	6	2(3):10	2(3):10	NUM
ejpam-6643	573	7	,	,	PUNCT
ejpam-6643	573	8	2025	2025	NUM
ejpam-6643	573	9	.	.	PUNCT
ejpam-6643	574	1	[	[	X
ejpam-6643	574	2	54	54	NUM
ejpam-6643	574	3	]	]	PUNCT
ejpam-6643	574	4	takaaki	takaaki	NOUN
ejpam-6643	574	5	fujita	fujita	NOUN
ejpam-6643	574	6	and	and	CCONJ
ejpam-6643	574	7	arkan	arkan	VERB
ejpam-6643	574	8	a	a	DET
ejpam-6643	574	9	ghaib	ghaib	NOUN
ejpam-6643	574	10	.	.	PUNCT
ejpam-6643	575	1	toward	toward	ADP
ejpam-6643	575	2	a	a	DET
ejpam-6643	575	3	unified	unified	ADJ
ejpam-6643	575	4	theory	theory	NOUN
ejpam-6643	575	5	of	of	ADP
ejpam-6643	575	6	brain	brain	NOUN
ejpam-6643	575	7	hypergraphs	hypergraph	NOUN
ejpam-6643	575	8	and	and	CCONJ
ejpam-6643	575	9	symptom	symptom	NOUN
ejpam-6643	575	10	hypernetworks	hypernetwork	NOUN
ejpam-6643	575	11	in	in	ADP
ejpam-6643	575	12	medicine	medicine	NOUN
ejpam-6643	575	13	and	and	CCONJ
ejpam-6643	575	14	neuroscience	neuroscience	NOUN
ejpam-6643	575	15	.	.	PUNCT
ejpam-6643	576	1	advances	advance	NOUN
ejpam-6643	576	2	in	in	ADP
ejpam-6643	576	3	research	research	NOUN
ejpam-6643	576	4	,	,	PUNCT
ejpam-6643	576	5	26(3):522–565	26(3):522–565	PROPN
ejpam-6643	576	6	,	,	PUNCT
ejpam-6643	576	7	2025	2025	NUM
ejpam-6643	576	8	.	.	PUNCT
ejpam-6643	577	1	[	[	X
ejpam-6643	577	2	55	55	NUM
ejpam-6643	577	3	]	]	PUNCT
ejpam-6643	577	4	florentin	florentin	PROPN
ejpam-6643	577	5	smarandache	smarandache	PROPN
ejpam-6643	577	6	.	.	PUNCT
ejpam-6643	577	7	superhyperfunction	superhyperfunction	NOUN
ejpam-6643	577	8	,	,	PUNCT
ejpam-6643	577	9	superhyperstructure	superhyperstructure	ADJ
ejpam-6643	577	10	,	,	PUNCT
ejpam-6643	577	11	neutrosophic	neutrosophic	ADJ
ejpam-6643	577	12	superhyperfunction	superhyperfunction	NOUN
ejpam-6643	577	13	and	and	CCONJ
ejpam-6643	577	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	577	15	superhyperstructure	superhyperstructure	NOUN
ejpam-6643	577	16	:	:	PUNCT
ejpam-6643	577	17	current	current	ADJ
ejpam-6643	577	18	understanding	understanding	NOUN
ejpam-6643	577	19	and	and	CCONJ
ejpam-6643	577	20	future	future	ADJ
ejpam-6643	577	21	directions	direction	NOUN
ejpam-6643	577	22	.	.	PUNCT
ejpam-6643	578	1	infinite	infinite	ADJ
ejpam-6643	578	2	study	study	NOUN
ejpam-6643	578	3	,	,	PUNCT
ejpam-6643	578	4	2023	2023	NUM
ejpam-6643	578	5	.	.	PUNCT
ejpam-6643	579	1	[	[	X
ejpam-6643	579	2	56	56	NUM
ejpam-6643	579	3	]	]	X
ejpam-6643	579	4	mohammad	mohammad	PROPN
ejpam-6643	579	5	hamidi	hamidi	PROPN
ejpam-6643	579	6	,	,	PUNCT
ejpam-6643	579	7	florentin	florentin	NOUN
ejpam-6643	579	8	smarandache	smarandache	NOUN
ejpam-6643	579	9	,	,	PUNCT
ejpam-6643	579	10	and	and	CCONJ
ejpam-6643	579	11	elham	elham	PROPN
ejpam-6643	579	12	davneshvar	davneshvar	NOUN
ejpam-6643	579	13	.	.	PUNCT
ejpam-6643	580	1	spectrum	spectrum	NOUN
ejpam-6643	580	2	of	of	ADP
ejpam-6643	580	3	superhypergraphs	superhypergraph	NOUN
ejpam-6643	580	4	via	via	ADP
ejpam-6643	580	5	flows	flow	NOUN
ejpam-6643	580	6	.	.	PUNCT
ejpam-6643	581	1	journal	journal	NOUN
ejpam-6643	581	2	of	of	ADP
ejpam-6643	581	3	mathematics	mathematic	NOUN
ejpam-6643	581	4	,	,	PUNCT
ejpam-6643	581	5	2022(1):9158912	2022(1):9158912	NUM
ejpam-6643	581	6	,	,	PUNCT
ejpam-6643	581	7	2022	2022	NUM
ejpam-6643	581	8	.	.	PUNCT
ejpam-6643	582	1	[	[	X
ejpam-6643	582	2	57	57	NUM
ejpam-6643	582	3	]	]	PUNCT
ejpam-6643	582	4	florentin	florentin	PROPN
ejpam-6643	582	5	smarandache	smarandache	NOUN
ejpam-6643	582	6	.	.	PUNCT
ejpam-6643	583	1	introduction	introduction	NOUN
ejpam-6643	583	2	to	to	ADP
ejpam-6643	583	3	the	the	DET
ejpam-6643	583	4	n	n	CCONJ
ejpam-6643	583	5	-	-	PUNCT
ejpam-6643	583	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	583	7	-	-	PUNCT
ejpam-6643	583	8	the	the	DET
ejpam-6643	583	9	most	most	ADV
ejpam-6643	583	10	general	general	ADJ
ejpam-6643	583	11	form	form	NOUN
ejpam-6643	583	12	of	of	ADP
ejpam-6643	583	13	graph	graph	NOUN
ejpam-6643	583	14	today	today	NOUN
ejpam-6643	583	15	.	.	PUNCT
ejpam-6643	584	1	infinite	infinite	ADJ
ejpam-6643	584	2	study	study	NOUN
ejpam-6643	584	3	,	,	PUNCT
ejpam-6643	584	4	2022	2022	NUM
ejpam-6643	584	5	.	.	PUNCT
ejpam-6643	585	1	[	[	X
ejpam-6643	585	2	58	58	NUM
ejpam-6643	585	3	]	]	PUNCT
ejpam-6643	585	4	takaaki	takaaki	NOUN
ejpam-6643	585	5	fujita	fujita	NOUN
ejpam-6643	585	6	and	and	CCONJ
ejpam-6643	585	7	florentin	florentin	PROPN
ejpam-6643	585	8	smarandache	smarandache	PROPN
ejpam-6643	585	9	.	.	PUNCT
ejpam-6643	586	1	a	a	DET
ejpam-6643	586	2	concise	concise	ADJ
ejpam-6643	586	3	study	study	NOUN
ejpam-6643	586	4	of	of	ADP
ejpam-6643	586	5	some	some	DET
ejpam-6643	586	6	superhypergraph	superhypergraph	NOUN
ejpam-6643	586	7	classes	class	NOUN
ejpam-6643	586	8	.	.	PUNCT
ejpam-6643	587	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	587	2	sets	set	NOUN
ejpam-6643	587	3	and	and	CCONJ
ejpam-6643	587	4	systems	system	NOUN
ejpam-6643	587	5	,	,	PUNCT
ejpam-6643	587	6	77:548–593	77:548–593	PROPN
ejpam-6643	587	7	,	,	PUNCT
ejpam-6643	587	8	2024	2024	NUM
ejpam-6643	587	9	.	.	PUNCT
ejpam-6643	588	1	[	[	X
ejpam-6643	588	2	59	59	NUM
ejpam-6643	588	3	]	]	PUNCT
ejpam-6643	588	4	satham	satham	NOUN
ejpam-6643	588	5	hussain	hussain	PROPN
ejpam-6643	588	6	,	,	PUNCT
ejpam-6643	588	7	jahir	jahir	PROPN
ejpam-6643	588	8	hussain	hussain	PROPN
ejpam-6643	588	9	,	,	PUNCT
ejpam-6643	588	10	isnaini	isnaini	PROPN
ejpam-6643	588	11	rosyida	rosyida	PROPN
ejpam-6643	588	12	,	,	PUNCT
ejpam-6643	588	13	and	and	CCONJ
ejpam-6643	588	14	said	say	VERB
ejpam-6643	588	15	broumi	broumi	PROPN
ejpam-6643	588	16	.	.	PUNCT
ejpam-6643	588	17	quadripartitioned	quadripartitione	VERB
ejpam-6643	588	18	neutrosophic	neutrosophic	ADJ
ejpam-6643	588	19	soft	soft	ADJ
ejpam-6643	588	20	graphs	graph	NOUN
ejpam-6643	588	21	.	.	PUNCT
ejpam-6643	589	1	in	in	ADP
ejpam-6643	589	2	handbook	handbook	NOUN
ejpam-6643	589	3	of	of	ADP
ejpam-6643	589	4	research	research	NOUN
ejpam-6643	589	5	on	on	ADP
ejpam-6643	589	6	advances	advance	NOUN
ejpam-6643	589	7	and	and	CCONJ
ejpam-6643	589	8	applications	application	NOUN
ejpam-6643	589	9	of	of	ADP
ejpam-6643	589	10	fuzzy	fuzzy	ADJ
ejpam-6643	589	11	sets	set	NOUN
ejpam-6643	589	12	and	and	CCONJ
ejpam-6643	589	13	logic	logic	NOUN
ejpam-6643	589	14	,	,	PUNCT
ejpam-6643	589	15	pages	page	NOUN
ejpam-6643	589	16	771–795	771–795	NUM
ejpam-6643	589	17	.	.	PUNCT
ejpam-6643	590	1	igi	igi	PROPN
ejpam-6643	590	2	global	global	PROPN
ejpam-6643	590	3	,	,	PUNCT
ejpam-6643	590	4	2022	2022	NUM
ejpam-6643	590	5	.	.	PUNCT
ejpam-6643	591	1	[	[	X
ejpam-6643	591	2	60	60	NUM
ejpam-6643	591	3	]	]	X
ejpam-6643	591	4	jyoti	jyoti	PROPN
ejpam-6643	591	5	d	d	PROPN
ejpam-6643	591	6	thenge	thenge	NOUN
ejpam-6643	591	7	,	,	PUNCT
ejpam-6643	591	8	b	b	PROPN
ejpam-6643	591	9	surendranath	surendranath	NOUN
ejpam-6643	591	10	reddy	reddy	PROPN
ejpam-6643	591	11	,	,	PUNCT
ejpam-6643	591	12	and	and	CCONJ
ejpam-6643	591	13	rupali	rupali	VERB
ejpam-6643	591	14	s	s	PROPN
ejpam-6643	591	15	jain	jain	NOUN
ejpam-6643	591	16	.	.	PUNCT
ejpam-6643	592	1	contribution	contribution	NOUN
ejpam-6643	592	2	to	to	ADP
ejpam-6643	592	3	soft	soft	ADJ
ejpam-6643	592	4	graph	graph	NOUN
ejpam-6643	592	5	and	and	CCONJ
ejpam-6643	592	6	soft	soft	ADJ
ejpam-6643	592	7	tree	tree	NOUN
ejpam-6643	592	8	.	.	PUNCT
ejpam-6643	593	1	new	new	ADJ
ejpam-6643	593	2	mathematics	mathematic	NOUN
ejpam-6643	593	3	and	and	CCONJ
ejpam-6643	593	4	natural	natural	ADJ
ejpam-6643	593	5	computation	computation	NOUN
ejpam-6643	593	6	,	,	PUNCT
ejpam-6643	593	7	15(01):129–143	15(01):129–143	PROPN
ejpam-6643	593	8	,	,	PUNCT
ejpam-6643	593	9	2019	2019	NUM
ejpam-6643	593	10	.	.	PUNCT
ejpam-6643	594	1	[	[	X
ejpam-6643	594	2	61	61	NUM
ejpam-6643	594	3	]	]	X
ejpam-6643	594	4	abbas	abbas	PROPN
ejpam-6643	594	5	amini	amini	PROPN
ejpam-6643	594	6	,	,	PUNCT
ejpam-6643	594	7	narjes	narjes	PROPN
ejpam-6643	594	8	firouzkouhi	firouzkouhi	PROPN
ejpam-6643	594	9	,	,	PUNCT
ejpam-6643	594	10	ahmad	ahmad	PROPN
ejpam-6643	594	11	gholami	gholami	PROPN
ejpam-6643	594	12	,	,	PUNCT
ejpam-6643	594	13	anju	anju	PROPN
ejpam-6643	594	14	r	r	PROPN
ejpam-6643	594	15	gupta	gupta	PROPN
ejpam-6643	594	16	,	,	PUNCT
ejpam-6643	594	17	chun	chun	PROPN
ejpam-6643	594	18	cheng	cheng	PROPN
ejpam-6643	594	19	,	,	PUNCT
ejpam-6643	594	20	and	and	CCONJ
ejpam-6643	594	21	bijan	bijan	PROPN
ejpam-6643	594	22	davvaz	davvaz	PROPN
ejpam-6643	594	23	.	.	PUNCT
ejpam-6643	594	24	soft	soft	ADJ
ejpam-6643	594	25	hypergraph	hypergraph	NOUN
ejpam-6643	594	26	for	for	ADP
ejpam-6643	594	27	modeling	model	VERB
ejpam-6643	594	28	global	global	ADJ
ejpam-6643	594	29	interactions	interaction	NOUN
ejpam-6643	594	30	via	via	ADP
ejpam-6643	594	31	social	social	ADJ
ejpam-6643	594	32	media	medium	NOUN
ejpam-6643	594	33	networks	network	NOUN
ejpam-6643	594	34	.	.	PUNCT
ejpam-6643	595	1	expert	expert	NOUN
ejpam-6643	595	2	systems	system	NOUN
ejpam-6643	595	3	with	with	ADP
ejpam-6643	595	4	applications	application	NOUN
ejpam-6643	595	5	,	,	PUNCT
ejpam-6643	595	6	203:117466	203:117466	NUM
ejpam-6643	595	7	,	,	PUNCT
ejpam-6643	595	8	2022	2022	NUM
ejpam-6643	595	9	.	.	PUNCT
ejpam-6643	596	1	[	[	X
ejpam-6643	596	2	62	62	NUM
ejpam-6643	596	3	]	]	PUNCT
ejpam-6643	596	4	bobin	bobin	NOUN
ejpam-6643	596	5	george	george	PROPN
ejpam-6643	596	6	,	,	PUNCT
ejpam-6643	596	7	k	k	PROPN
ejpam-6643	596	8	thumbakara	thumbakara	PROPN
ejpam-6643	596	9	rajesh	rajesh	PROPN
ejpam-6643	596	10	,	,	PUNCT
ejpam-6643	596	11	and	and	CCONJ
ejpam-6643	596	12	jose	jose	PROPN
ejpam-6643	596	13	jinta	jinta	PROPN
ejpam-6643	596	14	.	.	PUNCT
ejpam-6643	597	1	a	a	DET
ejpam-6643	597	2	study	study	NOUN
ejpam-6643	597	3	on	on	ADP
ejpam-6643	597	4	soft	soft	ADJ
ejpam-6643	597	5	hypergraphs	hypergraph	NOUN
ejpam-6643	597	6	and	and	CCONJ
ejpam-6643	597	7	their	their	PRON
ejpam-6643	597	8	and	and	CCONJ
ejpam-6643	597	9	&	&	CCONJ
ejpam-6643	597	10	or	or	CCONJ
ejpam-6643	597	11	operations	operation	NOUN
ejpam-6643	597	12	.	.	PUNCT
ejpam-6643	598	1	journal	journal	NOUN
ejpam-6643	598	2	of	of	ADP
ejpam-6643	598	3	the	the	DET
ejpam-6643	598	4	calcutta	calcutta	PROPN
ejpam-6643	598	5	mathematical	mathematical	ADJ
ejpam-6643	598	6	society	society	NOUN
ejpam-6643	598	7	,	,	PUNCT
ejpam-6643	598	8	19(1):29–44	19(1):29–44	NUM
ejpam-6643	598	9	,	,	PUNCT
ejpam-6643	598	10	2023	2023	NUM
ejpam-6643	598	11	.	.	PUNCT
ejpam-6643	599	1	[	[	X
ejpam-6643	599	2	63	63	NUM
ejpam-6643	599	3	]	]	PUNCT
ejpam-6643	599	4	bobin	bobin	NOUN
ejpam-6643	599	5	george	george	PROPN
ejpam-6643	599	6	,	,	PUNCT
ejpam-6643	599	7	jinta	jinta	PROPN
ejpam-6643	599	8	jose	jose	PROPN
ejpam-6643	599	9	,	,	PUNCT
ejpam-6643	599	10	and	and	CCONJ
ejpam-6643	599	11	rajesh	rajesh	PROPN
ejpam-6643	599	12	k	k	PROPN
ejpam-6643	599	13	thumbakara	thumbakara	ADV
ejpam-6643	599	14	.	.	PUNCT
ejpam-6643	600	1	modular	modular	ADJ
ejpam-6643	600	2	product	product	NOUN
ejpam-6643	600	3	of	of	ADP
ejpam-6643	600	4	soft	soft	ADJ
ejpam-6643	600	5	directed	direct	VERB
ejpam-6643	600	6	graphs	graph	NOUN
ejpam-6643	600	7	.	.	PUNCT
ejpam-6643	601	1	twms	twms	PROPN
ejpam-6643	601	2	journal	journal	PROPN
ejpam-6643	601	3	of	of	ADP
ejpam-6643	601	4	applied	apply	VERB
ejpam-6643	601	5	and	and	CCONJ
ejpam-6643	601	6	engineering	engineering	NOUN
ejpam-6643	601	7	mathematics	mathematic	NOUN
ejpam-6643	601	8	,	,	PUNCT
ejpam-6643	601	9	2024	2024	NUM
ejpam-6643	601	10	.	.	PUNCT
ejpam-6643	602	1	[	[	X
ejpam-6643	602	2	64	64	NUM
ejpam-6643	602	3	]	]	X
ejpam-6643	602	4	jinta	jinta	PROPN
ejpam-6643	602	5	jose	jose	PROPN
ejpam-6643	602	6	,	,	PUNCT
ejpam-6643	602	7	bobin	bobin	NOUN
ejpam-6643	602	8	george	george	PROPN
ejpam-6643	602	9	,	,	PUNCT
ejpam-6643	602	10	rajesh	rajesh	PROPN
ejpam-6643	602	11	k	k	PROPN
ejpam-6643	602	12	thumbakara	thumbakara	ADV
ejpam-6643	602	13	,	,	PUNCT
ejpam-6643	602	14	and	and	CCONJ
ejpam-6643	602	15	sijo	sijo	VERB
ejpam-6643	602	16	p	p	PROPN
ejpam-6643	602	17	george	george	PROPN
ejpam-6643	602	18	.	.	PUNCT
ejpam-6643	603	1	understanding	understand	VERB
ejpam-6643	603	2	normal	normal	ADJ
ejpam-6643	603	3	and	and	CCONJ
ejpam-6643	603	4	restricted	restrict	VERB
ejpam-6643	603	5	normal	normal	ADJ
ejpam-6643	603	6	products	product	NOUN
ejpam-6643	603	7	in	in	ADP
ejpam-6643	603	8	soft	soft	ADJ
ejpam-6643	603	9	directed	direct	VERB
ejpam-6643	603	10	graphs	graph	NOUN
ejpam-6643	603	11	.	.	PUNCT
ejpam-6643	604	1	journal	journal	NOUN
ejpam-6643	604	2	of	of	ADP
ejpam-6643	604	3	the	the	DET
ejpam-6643	604	4	nigerian	nigerian	ADJ
ejpam-6643	604	5	society	society	NOUN
ejpam-6643	604	6	of	of	ADP
ejpam-6643	604	7	physical	physical	ADJ
ejpam-6643	604	8	sciences	science	NOUN
ejpam-6643	604	9	,	,	PUNCT
ejpam-6643	604	10	pages	page	NOUN
ejpam-6643	604	11	2156–2156	2156–2156	NUM
ejpam-6643	604	12	,	,	PUNCT
ejpam-6643	604	13	2024	2024	NUM
ejpam-6643	604	14	.	.	PUNCT
ejpam-6643	605	1	[	[	X
ejpam-6643	605	2	65	65	NUM
ejpam-6643	605	3	]	]	X
ejpam-6643	605	4	jinta	jinta	PROPN
ejpam-6643	605	5	jose	jose	PROPN
ejpam-6643	605	6	,	,	PUNCT
ejpam-6643	605	7	bobin	bobin	NOUN
ejpam-6643	605	8	george	george	PROPN
ejpam-6643	605	9	,	,	PUNCT
ejpam-6643	605	10	and	and	CCONJ
ejpam-6643	605	11	rajesh	rajesh	PROPN
ejpam-6643	605	12	k	k	PROPN
ejpam-6643	605	13	thumbakara	thumbakara	ADV
ejpam-6643	605	14	.	.	PUNCT
ejpam-6643	606	1	advancements	advancement	NOUN
ejpam-6643	606	2	in	in	ADP
ejpam-6643	606	3	soft	soft	ADJ
ejpam-6643	606	4	directed	direct	VERB
ejpam-6643	606	5	graph	graph	NOUN
ejpam-6643	606	6	theory	theory	NOUN
ejpam-6643	606	7	:	:	PUNCT
ejpam-6643	606	8	new	new	ADJ
ejpam-6643	606	9	ideas	idea	NOUN
ejpam-6643	606	10	and	and	CCONJ
ejpam-6643	606	11	properties	property	NOUN
ejpam-6643	606	12	.	.	PUNCT
ejpam-6643	607	1	new	new	ADJ
ejpam-6643	607	2	mathematics	mathematic	NOUN
ejpam-6643	607	3	and	and	CCONJ
ejpam-6643	607	4	natural	natural	ADJ
ejpam-6643	607	5	computation	computation	NOUN
ejpam-6643	607	6	,	,	PUNCT
ejpam-6643	607	7	pages	page	NOUN
ejpam-6643	607	8	1–17	1–17	PROPN
ejpam-6643	607	9	,	,	PUNCT
ejpam-6643	607	10	2024	2024	NUM
ejpam-6643	607	11	.	.	PUNCT
ejpam-6643	608	1	[	[	X
ejpam-6643	608	2	66	66	NUM
ejpam-6643	608	3	]	]	PUNCT
ejpam-6643	608	4	bobin	bobin	NOUN
ejpam-6643	608	5	george	george	PROPN
ejpam-6643	608	6	,	,	PUNCT
ejpam-6643	608	7	jinta	jinta	PROPN
ejpam-6643	608	8	jose	jose	PROPN
ejpam-6643	608	9	,	,	PUNCT
ejpam-6643	608	10	rajesh	rajesh	PROPN
ejpam-6643	608	11	k	k	PROPN
ejpam-6643	608	12	thumbakara	thumbakara	ADV
ejpam-6643	608	13	,	,	PUNCT
ejpam-6643	608	14	et	et	PROPN
ejpam-6643	608	15	al	al	PROPN
ejpam-6643	608	16	.	.	PUNCT
ejpam-6643	608	17	introducing	introduce	VERB
ejpam-6643	608	18	soft	soft	ADJ
ejpam-6643	608	19	directed	direct	VERB
ejpam-6643	608	20	hypergraphs	hypergraph	NOUN
ejpam-6643	608	21	:	:	PUNCT
ejpam-6643	608	22	a	a	DET
ejpam-6643	608	23	fusion	fusion	NOUN
ejpam-6643	608	24	of	of	ADP
ejpam-6643	608	25	soft	soft	ADJ
ejpam-6643	608	26	set	set	NOUN
ejpam-6643	608	27	theory	theory	NOUN
ejpam-6643	608	28	and	and	CCONJ
ejpam-6643	608	29	directed	direct	VERB
ejpam-6643	608	30	hypergraphs	hypergraph	NOUN
ejpam-6643	608	31	.	.	PUNCT
ejpam-6643	609	1	utilitas	utilitas	PROPN
ejpam-6643	609	2	mathematica	mathematica	PROPN
ejpam-6643	609	3	,	,	PUNCT
ejpam-6643	609	4	121	121	NUM
ejpam-6643	609	5	,	,	PUNCT
ejpam-6643	609	6	2024	2024	NUM
ejpam-6643	609	7	.	.	PUNCT
ejpam-6643	610	1	[	[	X
ejpam-6643	610	2	67	67	NUM
ejpam-6643	610	3	]	]	X
ejpam-6643	610	4	bobin	bobin	NOUN
ejpam-6643	610	5	george	george	PROPN
ejpam-6643	610	6	,	,	PUNCT
ejpam-6643	610	7	jinta	jinta	PROPN
ejpam-6643	610	8	jose	jose	PROPN
ejpam-6643	610	9	,	,	PUNCT
ejpam-6643	610	10	and	and	CCONJ
ejpam-6643	610	11	rajesh	rajesh	PROPN
ejpam-6643	610	12	k.	k.	PROPN
ejpam-6643	610	13	thumbakara	thumbakara	PROPN
ejpam-6643	610	14	.	.	PUNCT
ejpam-6643	611	1	soft	soft	ADJ
ejpam-6643	611	2	directed	direct	VERB
ejpam-6643	611	3	hypergraphs	hypergraph	NOUN
ejpam-6643	611	4	and	and	CCONJ
ejpam-6643	611	5	their	their	PRON
ejpam-6643	611	6	and	and	CCONJ
ejpam-6643	611	7	&	&	CCONJ
ejpam-6643	611	8	or	or	CCONJ
ejpam-6643	611	9	operations	operation	NOUN
ejpam-6643	611	10	.	.	PUNCT
ejpam-6643	612	1	mathematical	mathematical	ADJ
ejpam-6643	612	2	forum	forum	PROPN
ejpam-6643	612	3	,	,	PUNCT
ejpam-6643	612	4	30	30	NUM
ejpam-6643	612	5	,	,	PUNCT
ejpam-6643	612	6	2022	2022	NUM
ejpam-6643	612	7	.	.	PUNCT
ejpam-6643	613	1	t.	t.	PROPN
ejpam-6643	613	2	fujita	fujita	PROPN
ejpam-6643	613	3	,	,	PUNCT
ejpam-6643	613	4	f.smarandache	f.smarandache	NOUN
ejpam-6643	613	5	/	/	SYM
ejpam-6643	613	6	eur	eur	PROPN
ejpam-6643	613	7	.	.	PUNCT
ejpam-6643	614	1	j.	j.	PROPN
ejpam-6643	614	2	pure	pure	PROPN
ejpam-6643	614	3	appl	appl	PROPN
ejpam-6643	614	4	.	.	PROPN
ejpam-6643	614	5	math	math	PROPN
ejpam-6643	614	6	,	,	PUNCT
ejpam-6643	614	7	18	18	NUM
ejpam-6643	614	8	(	(	PUNCT
ejpam-6643	614	9	4	4	NUM
ejpam-6643	614	10	)	)	PUNCT
ejpam-6643	614	11	(	(	PUNCT
ejpam-6643	614	12	2025	2025	NUM
ejpam-6643	614	13	)	)	PUNCT
ejpam-6643	614	14	,	,	PUNCT
ejpam-6643	614	15	6643	6643	NUM
ejpam-6643	614	16	27	27	NUM
ejpam-6643	614	17	of	of	ADP
ejpam-6643	614	18	27	27	NUM
ejpam-6643	614	19	[	[	X
ejpam-6643	614	20	68	68	NUM
ejpam-6643	614	21	]	]	PUNCT
ejpam-6643	614	22	florentin	florentin	PROPN
ejpam-6643	614	23	smarandache	smarandache	PROPN
ejpam-6643	614	24	.	.	PUNCT
ejpam-6643	615	1	n	n	CCONJ
ejpam-6643	615	2	-	-	PUNCT
ejpam-6643	615	3	superhypergraph	superhypergraph	NOUN
ejpam-6643	615	4	and	and	CCONJ
ejpam-6643	615	5	plithogenic	plithogenic	ADJ
ejpam-6643	615	6	n	n	CCONJ
ejpam-6643	615	7	-	-	PUNCT
ejpam-6643	615	8	superhypergraph	superhypergraph	NOUN
ejpam-6643	615	9	.	.	PUNCT
ejpam-6643	616	1	nidus	nidus	PROPN
ejpam-6643	616	2	idearum	idearum	PROPN
ejpam-6643	616	3	,	,	PUNCT
ejpam-6643	616	4	7:107–113	7:107–113	NOUN
ejpam-6643	616	5	,	,	PUNCT
ejpam-6643	616	6	2019	2019	NUM
ejpam-6643	616	7	.	.	PUNCT
ejpam-6643	617	1	[	[	X
ejpam-6643	617	2	69	69	NUM
ejpam-6643	617	3	]	]	PUNCT
ejpam-6643	617	4	ashraf	ashraf	PROPN
ejpam-6643	617	5	al	al	PROPN
ejpam-6643	617	6	-	-	PUNCT
ejpam-6643	617	7	quran	quran	PROPN
ejpam-6643	617	8	and	and	CCONJ
ejpam-6643	617	9	nasruddin	nasruddin	VERB
ejpam-6643	617	10	hassan	hassan	PROPN
ejpam-6643	617	11	.	.	PUNCT
ejpam-6643	618	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	618	2	vague	vague	ADJ
ejpam-6643	618	3	soft	soft	ADJ
ejpam-6643	618	4	expert	expert	NOUN
ejpam-6643	618	5	set	set	VERB
ejpam-6643	618	6	theory	theory	NOUN
ejpam-6643	618	7	.	.	PUNCT
ejpam-6643	619	1	j.	j.	PROPN
ejpam-6643	619	2	intell	intell	PROPN
ejpam-6643	619	3	.	.	PUNCT
ejpam-6643	620	1	fuzzy	fuzzy	ADJ
ejpam-6643	620	2	syst	syst	PROPN
ejpam-6643	620	3	.	.	PUNCT
ejpam-6643	620	4	,	,	PUNCT
ejpam-6643	620	5	30:3691–3702	30:3691–3702	NUM
ejpam-6643	620	6	,	,	PUNCT
ejpam-6643	620	7	2016	2016	NUM
ejpam-6643	620	8	.	.	PUNCT
ejpam-6643	621	1	[	[	X
ejpam-6643	621	2	70	70	X
ejpam-6643	621	3	]	]	X
ejpam-6643	621	4	muhammad	muhammad	PROPN
ejpam-6643	621	5	ihsan	ihsan	PROPN
ejpam-6643	621	6	,	,	PUNCT
ejpam-6643	621	7	muhammad	muhammad	PROPN
ejpam-6643	621	8	haris	haris	PROPN
ejpam-6643	621	9	saeed	saeed	PROPN
ejpam-6643	621	10	,	,	PUNCT
ejpam-6643	621	11	and	and	CCONJ
ejpam-6643	621	12	atiqe	atiqe	ADP
ejpam-6643	621	13	ur	ur	PROPN
ejpam-6643	621	14	rahman	rahman	PROPN
ejpam-6643	621	15	.	.	PUNCT
ejpam-6643	622	1	an	an	DET
ejpam-6643	622	2	intuitionistic	intuitionistic	ADJ
ejpam-6643	622	3	fuzzy	fuzzy	ADJ
ejpam-6643	622	4	hypersoft	hypersoft	NOUN
ejpam-6643	622	5	expert	expert	NOUN
ejpam-6643	622	6	set	set	NOUN
ejpam-6643	622	7	-	-	PUNCT
ejpam-6643	622	8	based	base	VERB
ejpam-6643	622	9	robust	robust	ADJ
ejpam-6643	622	10	decision	decision	NOUN
ejpam-6643	622	11	-	-	PUNCT
ejpam-6643	622	12	support	support	NOUN
ejpam-6643	622	13	framework	framework	NOUN
ejpam-6643	622	14	for	for	ADP
ejpam-6643	622	15	human	human	ADJ
ejpam-6643	622	16	resource	resource	NOUN
ejpam-6643	622	17	management	management	NOUN
ejpam-6643	622	18	integrated	integrate	VERB
ejpam-6643	622	19	with	with	ADP
ejpam-6643	622	20	modified	modify	VERB
ejpam-6643	622	21	topsis	topsis	NOUN
ejpam-6643	622	22	and	and	CCONJ
ejpam-6643	622	23	correlation	correlation	NOUN
ejpam-6643	622	24	coefficient	coefficient	NOUN
ejpam-6643	622	25	.	.	PUNCT
ejpam-6643	623	1	neural	neural	ADJ
ejpam-6643	623	2	computing	computing	NOUN
ejpam-6643	623	3	and	and	CCONJ
ejpam-6643	623	4	applications	application	NOUN
ejpam-6643	623	5	,	,	PUNCT
ejpam-6643	623	6	pages	page	NOUN
ejpam-6643	623	7	1–25	1–25	PROPN
ejpam-6643	623	8	,	,	PUNCT
ejpam-6643	623	9	2023	2023	NUM
ejpam-6643	623	10	.	.	PUNCT
ejpam-6643	624	1	[	[	X
ejpam-6643	624	2	71	71	NUM
ejpam-6643	624	3	]	]	X
ejpam-6643	624	4	muhammad	muhammad	PROPN
ejpam-6643	624	5	ihsan	ihsan	PROPN
ejpam-6643	624	6	,	,	PUNCT
ejpam-6643	624	7	muhammad	muhammad	PROPN
ejpam-6643	624	8	haris	haris	PROPN
ejpam-6643	624	9	saeed	saeed	PROPN
ejpam-6643	624	10	,	,	PUNCT
ejpam-6643	624	11	agaeb	agaeb	ADJ
ejpam-6643	624	12	mahal	mahal	PROPN
ejpam-6643	624	13	alanzi	alanzi	NOUN
ejpam-6643	624	14	,	,	PUNCT
ejpam-6643	624	15	and	and	CCONJ
ejpam-6643	624	16	hamiden	hamiden	VERB
ejpam-6643	624	17	abd	abd	PROPN
ejpam-6643	624	18	el	el	PROPN
ejpam-6643	624	19	-	-	PUNCT
ejpam-6643	624	20	wahed	wahe	VERB
ejpam-6643	624	21	khalifa	khalifa	PROPN
ejpam-6643	624	22	.	.	PUNCT
ejpam-6643	625	1	an	an	DET
ejpam-6643	625	2	algorithmic	algorithmic	ADJ
ejpam-6643	625	3	multiple	multiple	ADJ
ejpam-6643	625	4	attribute	attribute	NOUN
ejpam-6643	625	5	decision	decision	NOUN
ejpam-6643	625	6	-	-	PUNCT
ejpam-6643	625	7	making	make	VERB
ejpam-6643	625	8	method	method	NOUN
ejpam-6643	625	9	for	for	ADP
ejpam-6643	625	10	heart	heart	NOUN
ejpam-6643	625	11	problem	problem	NOUN
ejpam-6643	625	12	analysis	analysis	NOUN
ejpam-6643	625	13	under	under	ADP
ejpam-6643	625	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	625	15	hypersoft	hypersoft	NOUN
ejpam-6643	625	16	expert	expert	NOUN
ejpam-6643	625	17	set	set	VERB
ejpam-6643	625	18	with	with	ADP
ejpam-6643	625	19	fuzzy	fuzzy	ADJ
ejpam-6643	625	20	parameterized	parameterized	ADJ
ejpam-6643	625	21	degree	degree	NOUN
ejpam-6643	625	22	-	-	PUNCT
ejpam-6643	625	23	based	base	VERB
ejpam-6643	625	24	setting	setting	NOUN
ejpam-6643	625	25	.	.	PUNCT
ejpam-6643	626	1	peerj	peerj	PROPN
ejpam-6643	626	2	computer	computer	NOUN
ejpam-6643	626	3	science	science	NOUN
ejpam-6643	626	4	,	,	PUNCT
ejpam-6643	626	5	9	9	NUM
ejpam-6643	626	6	,	,	PUNCT
ejpam-6643	626	7	2023	2023	NUM
ejpam-6643	626	8	.	.	PUNCT
ejpam-6643	627	1	[	[	X
ejpam-6643	627	2	72	72	NUM
ejpam-6643	627	3	]	]	X
ejpam-6643	627	4	muhammad	muhammad	PROPN
ejpam-6643	627	5	ihsan	ihsan	PROPN
ejpam-6643	627	6	,	,	PUNCT
ejpam-6643	627	7	muhammad	muhammad	PROPN
ejpam-6643	627	8	haris	haris	PROPN
ejpam-6643	627	9	saeed	saeed	PROPN
ejpam-6643	627	10	,	,	PUNCT
ejpam-6643	627	11	atiqe	atiqe	ADP
ejpam-6643	627	12	ur	ur	PROPN
ejpam-6643	627	13	rahman	rahman	PROPN
ejpam-6643	627	14	,	,	PUNCT
ejpam-6643	627	15	hamiden	hamiden	PROPN
ejpam-6643	627	16	a.	a.	PROPN
ejpam-6643	627	17	wahed	wahed	PROPN
ejpam-6643	627	18	khalifa	khalifa	PROPN
ejpam-6643	627	19	,	,	PUNCT
ejpam-6643	627	20	and	and	CCONJ
ejpam-6643	627	21	salwa	salwa	PROPN
ejpam-6643	627	22	el	el	PROPN
ejpam-6643	627	23	-	-	PUNCT
ejpam-6643	627	24	morsy	morsy	NOUN
ejpam-6643	627	25	.	.	PUNCT
ejpam-6643	628	1	an	an	DET
ejpam-6643	628	2	intelligent	intelligent	ADJ
ejpam-6643	628	3	fuzzy	fuzzy	ADJ
ejpam-6643	628	4	parameterized	parameterized	ADJ
ejpam-6643	628	5	multi	multi	ADJ
ejpam-6643	628	6	-	-	ADJ
ejpam-6643	628	7	criteria	criterion	NOUN
ejpam-6643	628	8	decision	decision	NOUN
ejpam-6643	628	9	-	-	PUNCT
ejpam-6643	628	10	support	support	NOUN
ejpam-6643	628	11	system	system	NOUN
ejpam-6643	628	12	based	base	VERB
ejpam-6643	628	13	on	on	ADP
ejpam-6643	628	14	intuitionistic	intuitionistic	ADJ
ejpam-6643	628	15	fuzzy	fuzzy	ADJ
ejpam-6643	628	16	hypersoft	hypersoft	NOUN
ejpam-6643	628	17	expert	expert	NOUN
ejpam-6643	628	18	set	set	VERB
ejpam-6643	628	19	for	for	ADP
ejpam-6643	628	20	automobile	automobile	NOUN
ejpam-6643	628	21	evaluation	evaluation	NOUN
ejpam-6643	628	22	.	.	PUNCT
ejpam-6643	629	1	advances	advance	NOUN
ejpam-6643	629	2	in	in	ADP
ejpam-6643	629	3	mechanical	mechanical	ADJ
ejpam-6643	629	4	engineering	engineering	NOUN
ejpam-6643	629	5	,	,	PUNCT
ejpam-6643	629	6	14	14	NUM
ejpam-6643	629	7	,	,	PUNCT
ejpam-6643	629	8	2022	2022	NUM
ejpam-6643	629	9	.	.	PUNCT
ejpam-6643	630	1	[	[	X
ejpam-6643	630	2	73	73	NUM
ejpam-6643	630	3	]	]	X
ejpam-6643	630	4	mona	mona	PROPN
ejpam-6643	630	5	mohamed	mohamed	PROPN
ejpam-6643	630	6	,	,	PUNCT
ejpam-6643	630	7	ahmed	ahmed	PROPN
ejpam-6643	630	8	m	m	PROPN
ejpam-6643	630	9	abdelmouty	abdelmouty	PROPN
ejpam-6643	630	10	,	,	PUNCT
ejpam-6643	630	11	khalid	khalid	PROPN
ejpam-6643	630	12	mohamed	mohamed	PROPN
ejpam-6643	630	13	,	,	PUNCT
ejpam-6643	630	14	and	and	CCONJ
ejpam-6643	630	15	florentin	florentin	PROPN
ejpam-6643	630	16	smarandache	smarandache	PROPN
ejpam-6643	630	17	.	.	PUNCT
ejpam-6643	630	18	superhypersoft	superhypersoft	NOUN
ejpam-6643	630	19	-	-	PUNCT
ejpam-6643	630	20	driven	drive	VERB
ejpam-6643	630	21	evaluation	evaluation	NOUN
ejpam-6643	630	22	of	of	ADP
ejpam-6643	630	23	smart	smart	ADJ
ejpam-6643	630	24	transportation	transportation	NOUN
ejpam-6643	630	25	in	in	ADP
ejpam-6643	630	26	centroidousmoosra	centroidousmoosra	NOUN
ejpam-6643	630	27	:	:	PUNCT
ejpam-6643	630	28	real	real	ADJ
ejpam-6643	630	29	-	-	PUNCT
ejpam-6643	630	30	world	world	NOUN
ejpam-6643	630	31	insights	insight	NOUN
ejpam-6643	630	32	for	for	ADP
ejpam-6643	630	33	the	the	DET
ejpam-6643	630	34	uav	uav	PROPN
ejpam-6643	630	35	era	era	NOUN
ejpam-6643	630	36	.	.	PUNCT
ejpam-6643	631	1	neutrosophic	neutrosophic	ADJ
ejpam-6643	631	2	sets	set	NOUN
ejpam-6643	631	3	and	and	CCONJ
ejpam-6643	631	4	systems	system	NOUN
ejpam-6643	631	5	,	,	PUNCT
ejpam-6643	631	6	78:149	78:149	NUM
ejpam-6643	631	7	–	–	PUNCT
ejpam-6643	631	8	163	163	NUM
ejpam-6643	631	9	,	,	PUNCT
ejpam-6643	631	10	2025	2025	NUM
ejpam-6643	631	11	.	.	PUNCT
ejpam-6643	632	1	[	[	X
ejpam-6643	632	2	74	74	NUM
ejpam-6643	632	3	]	]	PUNCT
ejpam-6643	632	4	takaaki	takaaki	NOUN
ejpam-6643	632	5	fujita	fujita	PROPN
ejpam-6643	632	6	.	.	PUNCT
ejpam-6643	633	1	advancing	advance	VERB
ejpam-6643	633	2	uncertain	uncertain	ADJ
ejpam-6643	633	3	combinatorics	combinatoric	NOUN
ejpam-6643	633	4	through	through	ADP
ejpam-6643	633	5	graphization	graphization	NOUN
ejpam-6643	633	6	,	,	PUNCT
ejpam-6643	633	7	hyperization	hyperization	NOUN
ejpam-6643	633	8	,	,	PUNCT
ejpam-6643	633	9	and	and	CCONJ
ejpam-6643	633	10	uncertainization	uncertainization	NOUN
ejpam-6643	633	11	:	:	PUNCT
ejpam-6643	633	12	fuzzy	fuzzy	ADJ
ejpam-6643	633	13	,	,	PUNCT
ejpam-6643	633	14	neutrosophic	neutrosophic	ADJ
ejpam-6643	633	15	,	,	PUNCT
ejpam-6643	633	16	soft	soft	ADJ
ejpam-6643	633	17	,	,	PUNCT
ejpam-6643	633	18	rough	rough	ADJ
ejpam-6643	633	19	,	,	PUNCT
ejpam-6643	633	20	and	and	CCONJ
ejpam-6643	633	21	beyond	beyond	ADP
ejpam-6643	633	22	.	.	PUNCT
ejpam-6643	634	1	biblio	biblio	PROPN
ejpam-6643	634	2	publishing	publishing	PROPN
ejpam-6643	634	3	,	,	PUNCT
ejpam-6643	634	4	2025	2025	NUM
ejpam-6643	634	5	.	.	PUNCT
ejpam-6643	635	1	[	[	X
ejpam-6643	635	2	75	75	NUM
ejpam-6643	635	3	]	]	PUNCT
ejpam-6643	635	4	kholood	kholood	NOUN
ejpam-6643	635	5	mohammad	mohammad	PROPN
ejpam-6643	635	6	alsager	alsager	PROPN
ejpam-6643	635	7	.	.	PUNCT
ejpam-6643	636	1	decision	decision	NOUN
ejpam-6643	636	2	-	-	PUNCT
ejpam-6643	636	3	making	make	VERB
ejpam-6643	636	4	framework	framework	NOUN
ejpam-6643	636	5	based	base	VERB
ejpam-6643	636	6	on	on	ADP
ejpam-6643	636	7	multineutrosophic	multineutrosophic	ADJ
ejpam-6643	636	8	soft	soft	ADJ
ejpam-6643	636	9	rough	rough	ADJ
ejpam-6643	636	10	sets	set	NOUN
ejpam-6643	636	11	.	.	PUNCT
ejpam-6643	637	1	mathematical	mathematical	ADJ
ejpam-6643	637	2	problems	problem	NOUN
ejpam-6643	637	3	in	in	ADP
ejpam-6643	637	4	engineering	engineering	NOUN
ejpam-6643	637	5	,	,	PUNCT
ejpam-6643	637	6	2022(1):2868970	2022(1):2868970	NOUN
ejpam-6643	637	7	,	,	PUNCT
ejpam-6643	637	8	2022	2022	NUM
ejpam-6643	637	9	.	.	PUNCT
ejpam-6643	638	1	[	[	X
ejpam-6643	638	2	76	76	NUM
ejpam-6643	638	3	]	]	X
ejpam-6643	638	4	er	er	INTJ
ejpam-6643	638	5	ling	ling	PROPN
ejpam-6643	638	6	wei	wei	PROPN
ejpam-6643	638	7	,	,	PUNCT
ejpam-6643	638	8	wen	wen	PROPN
ejpam-6643	638	9	liang	liang	PROPN
ejpam-6643	638	10	tang	tang	PROPN
ejpam-6643	638	11	,	,	PUNCT
ejpam-6643	638	12	and	and	CCONJ
ejpam-6643	638	13	dong	dong	PROPN
ejpam-6643	638	14	ye	ye	PROPN
ejpam-6643	638	15	.	.	PROPN
ejpam-6643	638	16	nowhere	nowhere	ADV
ejpam-6643	638	17	-	-	PUNCT
ejpam-6643	638	18	zero	zero	NUM
ejpam-6643	638	19	15	15	NUM
ejpam-6643	638	20	-	-	PUNCT
ejpam-6643	638	21	flow	flow	NOUN
ejpam-6643	638	22	in	in	ADP
ejpam-6643	638	23	3	3	NUM
ejpam-6643	638	24	-	-	PUNCT
ejpam-6643	638	25	edgeconnected	edgeconnecte	VERB
ejpam-6643	638	26	bidirected	bidirected	ADJ
ejpam-6643	638	27	graphs	graph	NOUN
ejpam-6643	638	28	.	.	PUNCT
ejpam-6643	639	1	acta	acta	PROPN
ejpam-6643	639	2	mathematica	mathematica	PROPN
ejpam-6643	639	3	sinica	sinica	PROPN
ejpam-6643	639	4	,	,	PUNCT
ejpam-6643	639	5	english	english	ADJ
ejpam-6643	639	6	series	series	NOUN
ejpam-6643	639	7	,	,	PUNCT
ejpam-6643	639	8	30(4):649–660	30(4):649–660	PROPN
ejpam-6643	639	9	,	,	PUNCT
ejpam-6643	639	10	2014	2014	NUM
ejpam-6643	639	11	.	.	PUNCT
ejpam-6643	640	1	[	[	X
ejpam-6643	640	2	77	77	X
ejpam-6643	640	3	]	]	X
ejpam-6643	640	4	rui	rui	PROPN
ejpam-6643	640	5	xu	xu	PROPN
ejpam-6643	640	6	and	and	CCONJ
ejpam-6643	640	7	cun	cun	PROPN
ejpam-6643	640	8	-	-	PUNCT
ejpam-6643	640	9	quan	quan	PROPN
ejpam-6643	640	10	zhang	zhang	PROPN
ejpam-6643	640	11	.	.	PUNCT
ejpam-6643	641	1	on	on	ADP
ejpam-6643	641	2	flows	flow	NOUN
ejpam-6643	641	3	in	in	ADP
ejpam-6643	641	4	bidirected	bidirected	ADJ
ejpam-6643	641	5	graphs	graph	NOUN
ejpam-6643	641	6	.	.	PUNCT
ejpam-6643	642	1	discrete	discrete	ADJ
ejpam-6643	642	2	mathematics	mathematic	NOUN
ejpam-6643	642	3	,	,	PUNCT
ejpam-6643	642	4	299(1	299(1	NUM
ejpam-6643	642	5	-	-	SYM
ejpam-6643	642	6	3):335–343	3):335–343	NUM
ejpam-6643	642	7	,	,	PUNCT
ejpam-6643	642	8	2005	2005	NUM
ejpam-6643	642	9	.	.	PUNCT
ejpam-6643	643	1	[	[	X
ejpam-6643	643	2	78	78	NUM
ejpam-6643	643	3	]	]	PUNCT
ejpam-6643	643	4	sovan	sovan	PROPN
ejpam-6643	643	5	samanta	samanta	PROPN
ejpam-6643	643	6	,	,	PUNCT
ejpam-6643	643	7	vivek	vivek	PROPN
ejpam-6643	643	8	kumar	kumar	PROPN
ejpam-6643	643	9	dubey	dubey	PROPN
ejpam-6643	643	10	,	,	PUNCT
ejpam-6643	643	11	and	and	CCONJ
ejpam-6643	643	12	kousik	kousik	PROPN
ejpam-6643	643	13	das	das	PROPN
ejpam-6643	643	14	.	.	PUNCT
ejpam-6643	644	1	coopetition	coopetition	NOUN
ejpam-6643	644	2	bunch	bunch	NOUN
ejpam-6643	644	3	graphs	graph	NOUN
ejpam-6643	644	4	:	:	PUNCT
ejpam-6643	644	5	competition	competition	NOUN
ejpam-6643	644	6	and	and	CCONJ
ejpam-6643	644	7	cooperation	cooperation	NOUN
ejpam-6643	644	8	on	on	ADP
ejpam-6643	644	9	covid19	covid19	NOUN
ejpam-6643	644	10	research	research	NOUN
ejpam-6643	644	11	.	.	PUNCT
ejpam-6643	645	1	information	information	NOUN
ejpam-6643	645	2	sciences	sciences	PROPN
ejpam-6643	645	3	,	,	PUNCT
ejpam-6643	645	4	589:1–33	589:1–33	NUM
ejpam-6643	645	5	,	,	PUNCT
ejpam-6643	645	6	2022	2022	NUM
ejpam-6643	645	7	.	.	PUNCT
ejpam-6643	646	1	[	[	X
ejpam-6643	646	2	79	79	NUM
ejpam-6643	646	3	]	]	X
ejpam-6643	646	4	heng	heng	PROPN
ejpam-6643	646	5	li	li	PROPN
ejpam-6643	646	6	,	,	PUNCT
ejpam-6643	646	7	maximillian	maximillian	ADJ
ejpam-6643	646	8	marin	marin	NOUN
ejpam-6643	646	9	,	,	PUNCT
ejpam-6643	646	10	and	and	CCONJ
ejpam-6643	646	11	maha	maha	X
ejpam-6643	646	12	r	r	PROPN
ejpam-6643	646	13	farhat	farhat	PROPN
ejpam-6643	646	14	.	.	PUNCT
ejpam-6643	647	1	exploring	explore	VERB
ejpam-6643	647	2	gene	gene	NOUN
ejpam-6643	647	3	content	content	NOUN
ejpam-6643	647	4	with	with	ADP
ejpam-6643	647	5	pangene	pangene	ADJ
ejpam-6643	647	6	graphs	graph	NOUN
ejpam-6643	647	7	.	.	PUNCT
ejpam-6643	648	1	bioinformatics	bioinformatic	NOUN
ejpam-6643	648	2	,	,	PUNCT
ejpam-6643	648	3	40(7):btae456	40(7):btae456	PROPN
ejpam-6643	648	4	,	,	PUNCT
ejpam-6643	648	5	2024	2024	NUM
ejpam-6643	648	6	.	.	PUNCT
ejpam-6643	649	1	[	[	X
ejpam-6643	649	2	80	80	NUM
ejpam-6643	649	3	]	]	X
ejpam-6643	649	4	sebastian	sebastian	PROPN
ejpam-6643	649	5	pardo	pardo	PROPN
ejpam-6643	649	6	-	-	PUNCT
ejpam-6643	649	7	guerra	guerra	PROPN
ejpam-6643	649	8	,	,	PUNCT
ejpam-6643	649	9	vivek	vivek	PROPN
ejpam-6643	649	10	kurien	kurien	PROPN
ejpam-6643	649	11	george	george	PROPN
ejpam-6643	649	12	,	,	PUNCT
ejpam-6643	649	13	and	and	CCONJ
ejpam-6643	649	14	gabriel	gabriel	PROPN
ejpam-6643	649	15	a	a	DET
ejpam-6643	649	16	silva	silva	NOUN
ejpam-6643	649	17	.	.	PUNCT
ejpam-6643	650	1	on	on	ADP
ejpam-6643	650	2	the	the	DET
ejpam-6643	650	3	graph	graph	NOUN
ejpam-6643	650	4	isomorphism	isomorphism	NOUN
ejpam-6643	650	5	completeness	completeness	NOUN
ejpam-6643	650	6	of	of	ADP
ejpam-6643	650	7	directed	direct	VERB
ejpam-6643	650	8	and	and	CCONJ
ejpam-6643	650	9	multidirected	multidirected	ADJ
ejpam-6643	650	10	graphs	graph	NOUN
ejpam-6643	650	11	.	.	PUNCT
ejpam-6643	651	1	mathematics	mathematic	NOUN
ejpam-6643	651	2	,	,	PUNCT
ejpam-6643	651	3	13(2):228	13(2):228	NUM
ejpam-6643	651	4	,	,	PUNCT
ejpam-6643	651	5	2025	2025	NUM
ejpam-6643	651	6	.	.	PUNCT