id	sid	tid	token	lemma	pos
ejpam-6110	1	1	european	european	PROPN
ejpam-6110	1	2	journal	journal	PROPN
ejpam-6110	1	3	of	of	ADP
ejpam-6110	1	4	pure	pure	ADJ
ejpam-6110	1	5	and	and	CCONJ
ejpam-6110	1	6	applied	applied	ADJ
ejpam-6110	1	7	mathematics	mathematic	NOUN
ejpam-6110	1	8	2025	2025	NUM
ejpam-6110	1	9	,	,	PUNCT
ejpam-6110	1	10	vol	vol	NOUN
ejpam-6110	1	11	.	.	PROPN
ejpam-6110	1	12	18	18	NUM
ejpam-6110	1	13	,	,	PUNCT
ejpam-6110	1	14	issue	issue	NOUN
ejpam-6110	1	15	3	3	NUM
ejpam-6110	1	16	,	,	PUNCT
ejpam-6110	1	17	article	article	NOUN
ejpam-6110	1	18	number	number	NOUN
ejpam-6110	1	19	6110	6110	NUM
ejpam-6110	1	20	issn	issn	PROPN
ejpam-6110	1	21	1307	1307	NUM
ejpam-6110	1	22	-	-	SYM
ejpam-6110	1	23	5543	5543	NUM
ejpam-6110	1	24	–	–	PUNCT
ejpam-6110	1	25	ejpam.com	ejpam.com	X
ejpam-6110	1	26	published	publish	VERB
ejpam-6110	1	27	by	by	ADP
ejpam-6110	1	28	new	new	PROPN
ejpam-6110	1	29	york	york	PROPN
ejpam-6110	1	30	business	business	PROPN
ejpam-6110	1	31	global	global	PROPN
ejpam-6110	1	32	an	an	DET
ejpam-6110	1	33	exponential	exponential	ADJ
ejpam-6110	1	34	intuitionistic	intuitionistic	ADJ
ejpam-6110	1	35	fuzzy	fuzzy	ADJ
ejpam-6110	1	36	framework	framework	NOUN
ejpam-6110	1	37	for	for	ADP
ejpam-6110	1	38	sustainable	sustainable	ADJ
ejpam-6110	1	39	supplier	supplier	NOUN
ejpam-6110	1	40	selection	selection	NOUN
ejpam-6110	1	41	in	in	ADP
ejpam-6110	1	42	industrial	industrial	ADJ
ejpam-6110	1	43	management	management	NOUN
ejpam-6110	1	44	m.	m.	NOUN
ejpam-6110	1	45	kaviyarasu1	kaviyarasu1	PROPN
ejpam-6110	1	46	,	,	PUNCT
ejpam-6110	1	47	luminita	luminita	PROPN
ejpam-6110	1	48	-	-	PUNCT
ejpam-6110	1	49	ioana	ioana	PROPN
ejpam-6110	1	50	cot̂ırlă	cot̂ırlă	PROPN
ejpam-6110	1	51	2	2	PROPN
ejpam-6110	1	52	,	,	PUNCT
ejpam-6110	1	53	daniel	daniel	PROPN
ejpam-6110	1	54	breaz3,∗	breaz3,∗	PROPN
ejpam-6110	1	55	,	,	PUNCT
ejpam-6110	1	56	m.	m.	NOUN
ejpam-6110	1	57	rajeshwari4	rajeshwari4	NOUN
ejpam-6110	1	58	1	1	NUM
ejpam-6110	1	59	department	department	NOUN
ejpam-6110	1	60	of	of	ADP
ejpam-6110	1	61	mathematics	mathematic	NOUN
ejpam-6110	1	62	,	,	PUNCT
ejpam-6110	1	63	vel	vel	PROPN
ejpam-6110	1	64	tech	tech	PROPN
ejpam-6110	1	65	rangarajan	rangarajan	PROPN
ejpam-6110	1	66	dr	dr	PROPN
ejpam-6110	1	67	.	.	PROPN
ejpam-6110	1	68	sagunthala	sagunthala	PROPN
ejpam-6110	1	69	r	r	PROPN
ejpam-6110	1	70	&	&	CCONJ
ejpam-6110	1	71	d	d	PROPN
ejpam-6110	1	72	institute	institute	PROPN
ejpam-6110	1	73	of	of	ADP
ejpam-6110	1	74	science	science	NOUN
ejpam-6110	1	75	and	and	CCONJ
ejpam-6110	1	76	technology	technology	NOUN
ejpam-6110	1	77	,	,	PUNCT
ejpam-6110	1	78	chennai	chennai	PROPN
ejpam-6110	1	79	,	,	PUNCT
ejpam-6110	1	80	tamil	tamil	PROPN
ejpam-6110	1	81	nadu	nadu	PROPN
ejpam-6110	1	82	600062	600062	NUM
ejpam-6110	1	83	,	,	PUNCT
ejpam-6110	1	84	india	india	PROPN
ejpam-6110	1	85	2	2	NUM
ejpam-6110	1	86	department	department	NOUN
ejpam-6110	1	87	of	of	ADP
ejpam-6110	1	88	mathematics	mathematic	NOUN
ejpam-6110	1	89	,	,	PUNCT
ejpam-6110	1	90	technical	technical	ADJ
ejpam-6110	1	91	university	university	PROPN
ejpam-6110	1	92	of	of	ADP
ejpam-6110	1	93	cluj	cluj	PROPN
ejpam-6110	1	94	napoca	napoca	PROPN
ejpam-6110	1	95	,	,	PUNCT
ejpam-6110	1	96	400114	400114	NUM
ejpam-6110	1	97	,	,	PUNCT
ejpam-6110	1	98	cluj	cluj	NOUN
ejpam-6110	1	99	-	-	PUNCT
ejpam-6110	1	100	napoca	napoca	NOUN
ejpam-6110	1	101	,	,	PUNCT
ejpam-6110	1	102	romania	romania	PROPN
ejpam-6110	1	103	3	3	NUM
ejpam-6110	1	104	department	department	NOUN
ejpam-6110	1	105	of	of	ADP
ejpam-6110	1	106	mathematics	mathematic	NOUN
ejpam-6110	1	107	,	,	PUNCT
ejpam-6110	1	108	”	"	PUNCT
ejpam-6110	1	109	1	1	NUM
ejpam-6110	1	110	decembrie	decembrie	NOUN
ejpam-6110	1	111	1918	1918	NUM
ejpam-6110	1	112	”	"	PUNCT
ejpam-6110	1	113	,	,	PUNCT
ejpam-6110	1	114	university	university	NOUN
ejpam-6110	1	115	of	of	ADP
ejpam-6110	1	116	alba	alba	PROPN
ejpam-6110	1	117	iulia	iulia	PROPN
ejpam-6110	1	118	,	,	PUNCT
ejpam-6110	1	119	510009	510009	NUM
ejpam-6110	1	120	,	,	PUNCT
ejpam-6110	1	121	alba	alba	PROPN
ejpam-6110	1	122	iulia	iulia	PROPN
ejpam-6110	1	123	,	,	PUNCT
ejpam-6110	1	124	romania	romania	PROPN
ejpam-6110	1	125	4	4	NUM
ejpam-6110	1	126	department	department	NOUN
ejpam-6110	1	127	of	of	ADP
ejpam-6110	1	128	mathematics	mathematic	NOUN
ejpam-6110	1	129	,	,	PUNCT
ejpam-6110	1	130	presidency	presidency	NOUN
ejpam-6110	1	131	university	university	NOUN
ejpam-6110	1	132	,	,	PUNCT
ejpam-6110	1	133	bangalore	bangalore	PROPN
ejpam-6110	1	134	560064	560064	NUM
ejpam-6110	1	135	,	,	PUNCT
ejpam-6110	1	136	india	india	PROPN
ejpam-6110	1	137	abstract	abstract	NOUN
ejpam-6110	1	138	.	.	PUNCT
ejpam-6110	2	1	dealing	deal	VERB
ejpam-6110	2	2	with	with	ADP
ejpam-6110	2	3	uncertainty	uncertainty	NOUN
ejpam-6110	2	4	and	and	CCONJ
ejpam-6110	2	5	imprecision	imprecision	NOUN
ejpam-6110	2	6	is	be	AUX
ejpam-6110	2	7	critical	critical	ADJ
ejpam-6110	2	8	in	in	ADP
ejpam-6110	2	9	modern	modern	ADJ
ejpam-6110	2	10	decision	decision	NOUN
ejpam-6110	2	11	-	-	PUNCT
ejpam-6110	2	12	making	make	VERB
ejpam-6110	2	13	processes	process	NOUN
ejpam-6110	2	14	,	,	PUNCT
ejpam-6110	2	15	particularly	particularly	ADV
ejpam-6110	2	16	in	in	ADP
ejpam-6110	2	17	multi	multi	ADJ
ejpam-6110	2	18	-	-	ADJ
ejpam-6110	2	19	criteria	criterion	NOUN
ejpam-6110	2	20	situations	situation	NOUN
ejpam-6110	2	21	.	.	PUNCT
ejpam-6110	3	1	exponential	exponential	ADJ
ejpam-6110	3	2	intuitionistic	intuitionistic	ADJ
ejpam-6110	3	3	fuzzy	fuzzy	ADJ
ejpam-6110	3	4	sets	set	NOUN
ejpam-6110	3	5	(	(	PUNCT
ejpam-6110	3	6	eifs	eifs	PROPN
ejpam-6110	3	7	)	)	PUNCT
ejpam-6110	3	8	are	be	AUX
ejpam-6110	3	9	a	a	DET
ejpam-6110	3	10	sophisticated	sophisticated	ADJ
ejpam-6110	3	11	mathematical	mathematical	ADJ
ejpam-6110	3	12	framework	framework	NOUN
ejpam-6110	3	13	that	that	PRON
ejpam-6110	3	14	extends	extend	VERB
ejpam-6110	3	15	intuitionistic	intuitionistic	ADJ
ejpam-6110	3	16	fuzzy	fuzzy	ADJ
ejpam-6110	3	17	sets	set	NOUN
ejpam-6110	3	18	by	by	ADP
ejpam-6110	3	19	integrating	integrate	VERB
ejpam-6110	3	20	an	an	DET
ejpam-6110	3	21	exponential	exponential	ADJ
ejpam-6110	3	22	function	function	NOUN
ejpam-6110	3	23	,	,	PUNCT
ejpam-6110	3	24	improving	improve	VERB
ejpam-6110	3	25	its	its	PRON
ejpam-6110	3	26	capacity	capacity	NOUN
ejpam-6110	3	27	to	to	PART
ejpam-6110	3	28	adequately	adequately	ADV
ejpam-6110	3	29	capture	capture	VERB
ejpam-6110	3	30	ambiguity	ambiguity	NOUN
ejpam-6110	3	31	.	.	PUNCT
ejpam-6110	4	1	this	this	DET
ejpam-6110	4	2	study	study	NOUN
ejpam-6110	4	3	investigates	investigate	VERB
ejpam-6110	4	4	several	several	ADJ
ejpam-6110	4	5	eifs	eifs	PROPN
ejpam-6110	4	6	operations	operation	NOUN
ejpam-6110	4	7	,	,	PUNCT
ejpam-6110	4	8	such	such	ADJ
ejpam-6110	4	9	as	as	ADP
ejpam-6110	4	10	eif	eif	NOUN
ejpam-6110	4	11	intersection	intersection	NOUN
ejpam-6110	4	12	and	and	CCONJ
ejpam-6110	4	13	union	union	NOUN
ejpam-6110	4	14	,	,	PUNCT
ejpam-6110	4	15	which	which	PRON
ejpam-6110	4	16	expand	expand	VERB
ejpam-6110	4	17	conventional	conventional	ADJ
ejpam-6110	4	18	set	set	VERB
ejpam-6110	4	19	operations	operation	NOUN
ejpam-6110	4	20	to	to	PART
ejpam-6110	4	21	accommodate	accommodate	VERB
ejpam-6110	4	22	partial	partial	ADJ
ejpam-6110	4	23	and	and	CCONJ
ejpam-6110	4	24	non	non	ADJ
ejpam-6110	4	25	-	-	ADJ
ejpam-6110	4	26	membership	membership	ADJ
ejpam-6110	4	27	nm	nm	NOUN
ejpam-6110	4	28	degrees	degree	VERB
ejpam-6110	4	29	more	more	ADV
ejpam-6110	4	30	flexibly	flexibly	ADV
ejpam-6110	4	31	.	.	PUNCT
ejpam-6110	5	1	furthermore	furthermore	ADV
ejpam-6110	5	2	,	,	PUNCT
ejpam-6110	5	3	we	we	PRON
ejpam-6110	5	4	look	look	VERB
ejpam-6110	5	5	into	into	ADP
ejpam-6110	5	6	crucial	crucial	ADJ
ejpam-6110	5	7	operations	operation	NOUN
ejpam-6110	5	8	including	include	VERB
ejpam-6110	5	9	simple	simple	ADJ
ejpam-6110	5	10	difference	difference	NOUN
ejpam-6110	5	11	,	,	PUNCT
ejpam-6110	5	12	limited	limited	ADJ
ejpam-6110	5	13	difference	difference	NOUN
ejpam-6110	5	14	,	,	PUNCT
ejpam-6110	5	15	disjoint	disjoint	NOUN
ejpam-6110	5	16	sum	sum	NOUN
ejpam-6110	5	17	,	,	PUNCT
ejpam-6110	5	18	disjunctive	disjunctive	ADJ
ejpam-6110	5	19	sum	sum	NOUN
ejpam-6110	5	20	,	,	PUNCT
ejpam-6110	5	21	and	and	CCONJ
ejpam-6110	5	22	cartesian	cartesian	ADJ
ejpam-6110	5	23	product	product	NOUN
ejpam-6110	5	24	,	,	PUNCT
ejpam-6110	5	25	all	all	PRON
ejpam-6110	5	26	of	of	ADP
ejpam-6110	5	27	which	which	PRON
ejpam-6110	5	28	play	play	VERB
ejpam-6110	5	29	important	important	ADJ
ejpam-6110	5	30	roles	role	NOUN
ejpam-6110	5	31	in	in	ADP
ejpam-6110	5	32	modelling	model	VERB
ejpam-6110	5	33	uncertainty	uncertainty	NOUN
ejpam-6110	5	34	in	in	ADP
ejpam-6110	5	35	decision	decision	NOUN
ejpam-6110	5	36	processes	process	NOUN
ejpam-6110	5	37	.	.	PUNCT
ejpam-6110	6	1	a	a	DET
ejpam-6110	6	2	case	case	NOUN
ejpam-6110	6	3	study	study	NOUN
ejpam-6110	6	4	on	on	ADP
ejpam-6110	6	5	raw	raw	ADJ
ejpam-6110	6	6	material	material	NOUN
ejpam-6110	6	7	purchase	purchase	NOUN
ejpam-6110	6	8	demonstrates	demonstrate	VERB
ejpam-6110	6	9	how	how	SCONJ
ejpam-6110	6	10	these	these	DET
ejpam-6110	6	11	processes	process	NOUN
ejpam-6110	6	12	might	might	AUX
ejpam-6110	6	13	be	be	AUX
ejpam-6110	6	14	applied	apply	VERB
ejpam-6110	6	15	.	.	PUNCT
ejpam-6110	7	1	the	the	DET
ejpam-6110	7	2	decision	decision	NOUN
ejpam-6110	7	3	-	-	PUNCT
ejpam-6110	7	4	making	make	VERB
ejpam-6110	7	5	system	system	NOUN
ejpam-6110	7	6	takes	take	VERB
ejpam-6110	7	7	into	into	ADP
ejpam-6110	7	8	account	account	NOUN
ejpam-6110	7	9	numerous	numerous	ADJ
ejpam-6110	7	10	providers	provider	NOUN
ejpam-6110	7	11	,	,	PUNCT
ejpam-6110	7	12	analysing	analyse	VERB
ejpam-6110	7	13	aspects	aspect	NOUN
ejpam-6110	7	14	such	such	ADJ
ejpam-6110	7	15	as	as	ADP
ejpam-6110	7	16	cost	cost	NOUN
ejpam-6110	7	17	,	,	PUNCT
ejpam-6110	7	18	quality	quality	NOUN
ejpam-6110	7	19	,	,	PUNCT
ejpam-6110	7	20	and	and	CCONJ
ejpam-6110	7	21	delivery	delivery	NOUN
ejpam-6110	7	22	time	time	NOUN
ejpam-6110	7	23	with	with	ADP
ejpam-6110	7	24	eifs	eifs	PROPN
ejpam-6110	7	25	-	-	PUNCT
ejpam-6110	7	26	based	base	VERB
ejpam-6110	7	27	aggregation	aggregation	NOUN
ejpam-6110	7	28	approaches	approach	NOUN
ejpam-6110	7	29	.	.	PUNCT
ejpam-6110	8	1	using	use	VERB
ejpam-6110	8	2	these	these	DET
ejpam-6110	8	3	activities	activity	NOUN
ejpam-6110	8	4	,	,	PUNCT
ejpam-6110	8	5	decision	decision	NOUN
ejpam-6110	8	6	-	-	PUNCT
ejpam-6110	8	7	makers	maker	NOUN
ejpam-6110	8	8	may	may	AUX
ejpam-6110	8	9	improve	improve	VERB
ejpam-6110	8	10	supplier	supplier	NOUN
ejpam-6110	8	11	performance	performance	NOUN
ejpam-6110	8	12	,	,	PUNCT
ejpam-6110	8	13	reduce	reduce	VERB
ejpam-6110	8	14	risks	risk	NOUN
ejpam-6110	8	15	,	,	PUNCT
ejpam-6110	8	16	and	and	CCONJ
ejpam-6110	8	17	optimise	optimise	ADJ
ejpam-6110	8	18	procurement	procurement	NOUN
ejpam-6110	8	19	strategies	strategy	NOUN
ejpam-6110	8	20	in	in	ADP
ejpam-6110	8	21	unpredictable	unpredictable	ADJ
ejpam-6110	8	22	circumstances	circumstance	NOUN
ejpam-6110	8	23	.	.	PUNCT
ejpam-6110	9	1	2020	2020	NUM
ejpam-6110	9	2	mathematics	mathematic	NOUN
ejpam-6110	9	3	subject	subject	NOUN
ejpam-6110	9	4	classifications	classification	NOUN
ejpam-6110	9	5	:	:	PUNCT
ejpam-6110	9	6	03e72	03e72	NUM
ejpam-6110	9	7	,	,	PUNCT
ejpam-6110	9	8	90b50	90b50	NUM
ejpam-6110	9	9	,	,	PUNCT
ejpam-6110	9	10	90c29	90c29	NUM
ejpam-6110	9	11	,	,	PUNCT
ejpam-6110	9	12	68t37	68t37	NUM
ejpam-6110	9	13	key	key	ADJ
ejpam-6110	9	14	words	word	NOUN
ejpam-6110	9	15	and	and	CCONJ
ejpam-6110	9	16	phrases	phrase	NOUN
ejpam-6110	9	17	:	:	PUNCT
ejpam-6110	9	18	fuzzy	fuzzy	ADJ
ejpam-6110	9	19	set	set	NOUN
ejpam-6110	9	20	,	,	PUNCT
ejpam-6110	9	21	exponential	exponential	ADJ
ejpam-6110	9	22	aggregation	aggregation	NOUN
ejpam-6110	9	23	operators	operator	NOUN
ejpam-6110	9	24	,	,	PUNCT
ejpam-6110	9	25	exponential	exponential	ADJ
ejpam-6110	9	26	fuzzy	fuzzy	ADJ
ejpam-6110	9	27	set	set	NOUN
ejpam-6110	9	28	,	,	PUNCT
ejpam-6110	9	29	exponential	exponential	ADJ
ejpam-6110	9	30	intuitionistic	intuitionistic	ADJ
ejpam-6110	9	31	fuzzy	fuzzy	ADJ
ejpam-6110	9	32	set	set	NOUN
ejpam-6110	9	33	,	,	PUNCT
ejpam-6110	9	34	decision	decision	NOUN
ejpam-6110	9	35	-	-	PUNCT
ejpam-6110	9	36	making	make	VERB
ejpam-6110	9	37	methods	method	NOUN
ejpam-6110	9	38	∗corresponding	∗corresponde	VERB
ejpam-6110	9	39	author	author	NOUN
ejpam-6110	9	40	.	.	PUNCT
ejpam-6110	10	1	doi	doi	NOUN
ejpam-6110	10	2	:	:	PUNCT
ejpam-6110	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6110	https://doi.org/10.29020/nybg.ejpam.v18i3.6110	NOUN
ejpam-6110	10	4	email	email	NOUN
ejpam-6110	10	5	addresses	address	NOUN
ejpam-6110	10	6	:	:	PUNCT
ejpam-6110	10	7	kavitamilm@gmail.com	kavitamilm@gmail.com	X
ejpam-6110	10	8	(	(	PUNCT
ejpam-6110	10	9	m.	m.	PROPN
ejpam-6110	10	10	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	10	11	)	)	PUNCT
ejpam-6110	10	12	,	,	PUNCT
ejpam-6110	10	13	luminita.cotirla@math.utcluj.ro	luminita.cotirla@math.utcluj.ro	NOUN
ejpam-6110	10	14	(	(	PUNCT
ejpam-6110	10	15	l.-i	l.-i	ADJ
ejpam-6110	10	16	.	.	PUNCT
ejpam-6110	11	1	cot̂ırlă	cot̂ırlă	NOUN
ejpam-6110	11	2	)	)	PUNCT
ejpam-6110	11	3	,	,	PUNCT
ejpam-6110	11	4	dbreaz@uab.ro	dbreaz@uab.ro	PROPN
ejpam-6110	11	5	(	(	PUNCT
ejpam-6110	11	6	d.	d.	NOUN
ejpam-6110	11	7	breaz	breaz	PROPN
ejpam-6110	11	8	)	)	PUNCT
ejpam-6110	11	9	,	,	PUNCT
ejpam-6110	11	10	rajeshwari@presidencyuniversity.in	rajeshwari@presidencyuniversity.in	PROPN
ejpam-6110	11	11	(	(	PUNCT
ejpam-6110	11	12	m.	m.	NOUN
ejpam-6110	11	13	rajeshwari	rajeshwari	PROPN
ejpam-6110	11	14	)	)	PUNCT
ejpam-6110	11	15	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6110	11	16	1	1	NUM
ejpam-6110	11	17	copyright	copyright	NOUN
ejpam-6110	11	18	:	:	PUNCT
ejpam-6110	11	19	©	©	PROPN
ejpam-6110	11	20	2025	2025	NUM
ejpam-6110	11	21	the	the	DET
ejpam-6110	11	22	author(s	author(s	NOUN
ejpam-6110	11	23	)	)	PUNCT
ejpam-6110	11	24	.	.	PUNCT
ejpam-6110	12	1	(	(	PUNCT
ejpam-6110	12	2	cc	cc	NOUN
ejpam-6110	12	3	by	by	ADP
ejpam-6110	12	4	-	-	PUNCT
ejpam-6110	12	5	nc	nc	PROPN
ejpam-6110	12	6	4.0	4.0	NUM
ejpam-6110	12	7	)	)	PUNCT
ejpam-6110	12	8	m.	m.	NOUN
ejpam-6110	12	9	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	12	10	et	et	PROPN
ejpam-6110	12	11	al	al	PROPN
ejpam-6110	12	12	.	.	PUNCT
ejpam-6110	12	13	/	/	SYM
ejpam-6110	12	14	eur	eur	PROPN
ejpam-6110	12	15	.	.	PUNCT
ejpam-6110	13	1	j.	j.	PROPN
ejpam-6110	13	2	pure	pure	PROPN
ejpam-6110	13	3	appl	appl	PROPN
ejpam-6110	13	4	.	.	PROPN
ejpam-6110	13	5	math	math	PROPN
ejpam-6110	13	6	,	,	PUNCT
ejpam-6110	13	7	18	18	NUM
ejpam-6110	13	8	(	(	PUNCT
ejpam-6110	13	9	3	3	NUM
ejpam-6110	13	10	)	)	PUNCT
ejpam-6110	13	11	(	(	PUNCT
ejpam-6110	13	12	2025	2025	NUM
ejpam-6110	13	13	)	)	PUNCT
ejpam-6110	13	14	,	,	PUNCT
ejpam-6110	13	15	6110	6110	NUM
ejpam-6110	13	16	2	2	NUM
ejpam-6110	13	17	of	of	ADP
ejpam-6110	13	18	20	20	NUM
ejpam-6110	13	19	1	1	NUM
ejpam-6110	13	20	.	.	PUNCT
ejpam-6110	14	1	introduction	introduction	NOUN
ejpam-6110	14	2	fuzzy	fuzzy	ADJ
ejpam-6110	14	3	sets(fss	sets(fss	ADV
ejpam-6110	14	4	)	)	PUNCT
ejpam-6110	14	5	,	,	PUNCT
ejpam-6110	14	6	a	a	DET
ejpam-6110	14	7	groundbreaking	groundbreaking	ADJ
ejpam-6110	14	8	mathematical	mathematical	ADJ
ejpam-6110	14	9	framework	framework	NOUN
ejpam-6110	14	10	for	for	ADP
ejpam-6110	14	11	dealing	deal	VERB
ejpam-6110	14	12	with	with	ADP
ejpam-6110	14	13	imprecision	imprecision	NOUN
ejpam-6110	14	14	and	and	CCONJ
ejpam-6110	14	15	uncertainty	uncertainty	NOUN
ejpam-6110	14	16	,	,	PUNCT
ejpam-6110	14	17	was	be	AUX
ejpam-6110	14	18	first	first	ADV
ejpam-6110	14	19	presented	present	VERB
ejpam-6110	14	20	by	by	ADP
ejpam-6110	14	21	zadeh	zadeh	PROPN
ejpam-6110	14	22	in	in	ADP
ejpam-6110	14	23	[	[	X
ejpam-6110	14	24	1	1	NUM
ejpam-6110	14	25	]	]	PUNCT
ejpam-6110	14	26	.	.	PUNCT
ejpam-6110	15	1	according	accord	VERB
ejpam-6110	15	2	to	to	ADP
ejpam-6110	15	3	conventional	conventional	ADJ
ejpam-6110	15	4	(	(	PUNCT
ejpam-6110	15	5	crisp	crisp	ADJ
ejpam-6110	15	6	)	)	PUNCT
ejpam-6110	15	7	set	set	NOUN
ejpam-6110	15	8	theory	theory	NOUN
ejpam-6110	15	9	,	,	PUNCT
ejpam-6110	15	10	an	an	DET
ejpam-6110	15	11	element	element	NOUN
ejpam-6110	15	12	is	be	AUX
ejpam-6110	15	13	either	either	CCONJ
ejpam-6110	15	14	a	a	DET
ejpam-6110	15	15	member	member	NOUN
ejpam-6110	15	16	of	of	ADP
ejpam-6110	15	17	a	a	DET
ejpam-6110	15	18	set	set	NOUN
ejpam-6110	15	19	or	or	CCONJ
ejpam-6110	15	20	it	it	PRON
ejpam-6110	15	21	is	be	AUX
ejpam-6110	15	22	not	not	PART
ejpam-6110	15	23	(	(	PUNCT
ejpam-6110	15	24	binary	binary	ADJ
ejpam-6110	15	25	membershiph	membershiph	NOUN
ejpam-6110	15	26	(	(	PUNCT
ejpam-6110	15	27	m	m	NOUN
ejpam-6110	15	28	)	)	PUNCT
ejpam-6110	15	29	)	)	PUNCT
ejpam-6110	15	30	.	.	PUNCT
ejpam-6110	16	1	by	by	ADP
ejpam-6110	16	2	proposing	propose	VERB
ejpam-6110	16	3	fss	fss	ADJ
ejpam-6110	16	4	,	,	PUNCT
ejpam-6110	16	5	in	in	ADP
ejpam-6110	16	6	which	which	PRON
ejpam-6110	16	7	each	each	DET
ejpam-6110	16	8	element	element	NOUN
ejpam-6110	16	9	has	have	VERB
ejpam-6110	16	10	a	a	DET
ejpam-6110	16	11	degree	degree	NOUN
ejpam-6110	16	12	of	of	ADP
ejpam-6110	16	13	m	m	PRON
ejpam-6110	16	14	in	in	ADP
ejpam-6110	16	15	the	the	DET
ejpam-6110	16	16	interval	interval	NOUN
ejpam-6110	16	17	[	[	X
ejpam-6110	16	18	0	0	NUM
ejpam-6110	16	19	,	,	PUNCT
ejpam-6110	16	20	1	1	NUM
ejpam-6110	16	21	]	]	PUNCT
ejpam-6110	16	22	,	,	PUNCT
ejpam-6110	16	23	zadeh	zadeh	PROPN
ejpam-6110	16	24	expanded	expand	VERB
ejpam-6110	16	25	on	on	ADP
ejpam-6110	16	26	this	this	DET
ejpam-6110	16	27	concept	concept	NOUN
ejpam-6110	16	28	.	.	PUNCT
ejpam-6110	17	1	the	the	DET
ejpam-6110	17	2	idea	idea	NOUN
ejpam-6110	17	3	of	of	ADP
ejpam-6110	17	4	an	an	DET
ejpam-6110	17	5	eventual	eventual	ADJ
ejpam-6110	17	6	distribution	distribution	NOUN
ejpam-6110	17	7	is	be	AUX
ejpam-6110	17	8	defined	define	VERB
ejpam-6110	17	9	by	by	ADP
ejpam-6110	17	10	zadeh	zadeh	PROPN
ejpam-6110	17	11	in	in	ADP
ejpam-6110	17	12	[	[	X
ejpam-6110	17	13	2	2	NUM
ejpam-6110	17	14	]	]	PUNCT
ejpam-6110	17	15	to	to	PART
ejpam-6110	17	16	be	be	AUX
ejpam-6110	17	17	a	a	DET
ejpam-6110	17	18	fuzzy	fuzzy	ADJ
ejpam-6110	17	19	limitation	limitation	NOUN
ejpam-6110	17	20	that	that	PRON
ejpam-6110	17	21	serves	serve	VERB
ejpam-6110	17	22	as	as	ADP
ejpam-6110	17	23	an	an	DET
ejpam-6110	17	24	elastic	elastic	ADJ
ejpam-6110	17	25	constraint	constraint	NOUN
ejpam-6110	17	26	on	on	ADP
ejpam-6110	17	27	the	the	DET
ejpam-6110	17	28	values	value	NOUN
ejpam-6110	17	29	that	that	PRON
ejpam-6110	17	30	may	may	AUX
ejpam-6110	17	31	be	be	AUX
ejpam-6110	17	32	given	give	VERB
ejpam-6110	17	33	to	to	ADP
ejpam-6110	17	34	a	a	DET
ejpam-6110	17	35	variable	variable	NOUN
ejpam-6110	17	36	.	.	PUNCT
ejpam-6110	18	1	this	this	DET
ejpam-6110	18	2	definition	definition	NOUN
ejpam-6110	18	3	relates	relate	VERB
ejpam-6110	18	4	to	to	ADP
ejpam-6110	18	5	the	the	DET
ejpam-6110	18	6	notion	notion	NOUN
ejpam-6110	18	7	of	of	ADP
ejpam-6110	18	8	fss	fss	NOUN
ejpam-6110	18	9	that	that	PRON
ejpam-6110	18	10	are	be	AUX
ejpam-6110	18	11	fuzzy	fuzzy	ADJ
ejpam-6110	18	12	.	.	PUNCT
ejpam-6110	19	1	hiroshi	hiroshi	PROPN
ejpam-6110	19	2	et	et	PROPN
ejpam-6110	19	3	al	al	PROPN
ejpam-6110	19	4	suggests	suggest	VERB
ejpam-6110	19	5	a	a	DET
ejpam-6110	19	6	fuzzy	fuzzy	ADJ
ejpam-6110	19	7	decision	decision	NOUN
ejpam-6110	19	8	-	-	PUNCT
ejpam-6110	19	9	making	make	VERB
ejpam-6110	19	10	approach	approach	NOUN
ejpam-6110	19	11	for	for	ADP
ejpam-6110	19	12	multiobjective	multiobjective	ADJ
ejpam-6110	19	13	choice	choice	NOUN
ejpam-6110	19	14	issues	issue	NOUN
ejpam-6110	19	15	in	in	ADP
ejpam-6110	19	16	[	[	X
ejpam-6110	19	17	3	3	NUM
ejpam-6110	19	18	]	]	PUNCT
ejpam-6110	19	19	.	.	PUNCT
ejpam-6110	20	1	decision	decision	NOUN
ejpam-6110	20	2	makers	maker	NOUN
ejpam-6110	20	3	often	often	ADV
ejpam-6110	20	4	prefers	prefer	VERB
ejpam-6110	20	5	fuzzy	fuzzy	ADJ
ejpam-6110	20	6	connectives	connective	NOUN
ejpam-6110	20	7	with	with	ADP
ejpam-6110	20	8	the	the	DET
ejpam-6110	20	9	primary	primary	ADJ
ejpam-6110	20	10	characteristics	characteristic	NOUN
ejpam-6110	20	11	of	of	ADP
ejpam-6110	20	12	unclear	unclear	ADJ
ejpam-6110	20	13	and	and	CCONJ
ejpam-6110	20	14	unreliable	unreliable	ADJ
ejpam-6110	20	15	solutions	solution	NOUN
ejpam-6110	20	16	.	.	PUNCT
ejpam-6110	21	1	the	the	DET
ejpam-6110	21	2	analyst	analyst	NOUN
ejpam-6110	21	3	interacts	interact	VERB
ejpam-6110	21	4	with	with	ADP
ejpam-6110	21	5	an	an	DET
ejpam-6110	21	6	algorithm	algorithm	NOUN
ejpam-6110	21	7	to	to	PART
ejpam-6110	21	8	derive	derive	VERB
ejpam-6110	21	9	the	the	DET
ejpam-6110	21	10	preference	preference	NOUN
ejpam-6110	21	11	pattern	pattern	NOUN
ejpam-6110	21	12	.	.	PUNCT
ejpam-6110	22	1	here	here	ADV
ejpam-6110	22	2	,	,	PUNCT
ejpam-6110	22	3	zimmermann	zimmermann	PROPN
ejpam-6110	22	4	’s	’s	PART
ejpam-6110	22	5	γ	γ	PROPN
ejpam-6110	22	6	operation	operation	NOUN
ejpam-6110	22	7	and	and	CCONJ
ejpam-6110	22	8	their	their	PRON
ejpam-6110	22	9	expansions	expansion	NOUN
ejpam-6110	22	10	are	be	AUX
ejpam-6110	22	11	used	use	VERB
ejpam-6110	22	12	as	as	ADP
ejpam-6110	22	13	fuzzy	fuzzy	ADJ
ejpam-6110	22	14	connectives	connective	NOUN
ejpam-6110	22	15	.	.	PUNCT
ejpam-6110	23	1	chen	chen	PROPN
ejpam-6110	23	2	et	et	PROPN
ejpam-6110	23	3	al	al	PROPN
ejpam-6110	23	4	.	.	PUNCT
ejpam-6110	24	1	in	in	ADP
ejpam-6110	24	2	[	[	X
ejpam-6110	24	3	4	4	NUM
ejpam-6110	24	4	]	]	PUNCT
ejpam-6110	24	5	introduce	introduce	VERB
ejpam-6110	24	6	novel	novel	ADJ
ejpam-6110	24	7	methods	method	NOUN
ejpam-6110	24	8	in	in	ADP
ejpam-6110	24	9	the	the	DET
ejpam-6110	24	10	perspective	perspective	NOUN
ejpam-6110	24	11	of	of	ADP
ejpam-6110	24	12	fuzzy	fuzzy	ADJ
ejpam-6110	24	13	set	set	NOUN
ejpam-6110	24	14	theory	theory	NOUN
ejpam-6110	24	15	for	for	ADP
ejpam-6110	24	16	solving	solve	VERB
ejpam-6110	24	17	multicriteria	multicriteria	PROPN
ejpam-6110	24	18	ambiguous	ambiguous	ADJ
ejpam-6110	24	19	problem	problem	NOUN
ejpam-6110	24	20	solving	solve	VERB
ejpam-6110	24	21	.	.	PUNCT
ejpam-6110	25	1	the	the	DET
ejpam-6110	25	2	set	set	NOUN
ejpam-6110	25	3	of	of	ADP
ejpam-6110	25	4	factors	factor	NOUN
ejpam-6110	25	5	phase	phase	NOUN
ejpam-6110	25	6	methods	method	NOUN
ejpam-6110	25	7	enable	enable	VERB
ejpam-6110	25	8	the	the	DET
ejpam-6110	25	9	presentation	presentation	NOUN
ejpam-6110	25	10	of	of	ADP
ejpam-6110	25	11	ambiguous	ambiguous	ADJ
ejpam-6110	25	12	values	value	NOUN
ejpam-6110	25	13	that	that	PRON
ejpam-6110	25	14	stipulate	stipulate	VERB
ejpam-6110	25	15	the	the	DET
ejpam-6110	25	16	degree	degree	NOUN
ejpam-6110	25	17	of	of	ADP
ejpam-6110	25	18	satisfiability	satisfiability	NOUN
ejpam-6110	25	19	and	and	CCONJ
ejpam-6110	25	20	non	non	NOUN
ejpam-6110	25	21	-	-	NOUN
ejpam-6110	25	22	satisfiability	satisfiability	NOUN
ejpam-6110	25	23	of	of	ADP
ejpam-6110	25	24	all	all	DET
ejpam-6110	25	25	choice	choice	NOUN
ejpam-6110	25	26	.	.	PUNCT
ejpam-6110	26	1	the	the	DET
ejpam-6110	26	2	decision	decision	NOUN
ejpam-6110	26	3	-	-	PUNCT
ejpam-6110	26	4	maker	maker	NOUN
ejpam-6110	26	5	can	can	AUX
ejpam-6110	26	6	also	also	ADV
ejpam-6110	26	7	give	give	VERB
ejpam-6110	26	8	each	each	DET
ejpam-6110	26	9	criterion	criterion	NOUN
ejpam-6110	26	10	a	a	DET
ejpam-6110	26	11	varying	vary	VERB
ejpam-6110	26	12	level	level	NOUN
ejpam-6110	26	13	of	of	ADP
ejpam-6110	26	14	priority	priority	NOUN
ejpam-6110	26	15	thanks	thank	NOUN
ejpam-6110	26	16	to	to	ADP
ejpam-6110	26	17	the	the	DET
ejpam-6110	26	18	procedures	procedure	NOUN
ejpam-6110	26	19	.	.	PUNCT
ejpam-6110	27	1	ifs	ifs	PROPN
ejpam-6110	27	2	is	be	AUX
ejpam-6110	27	3	a	a	DET
ejpam-6110	27	4	popular	popular	ADJ
ejpam-6110	27	5	fs	fs	NOUN
ejpam-6110	27	6	that	that	PRON
ejpam-6110	27	7	was	be	AUX
ejpam-6110	27	8	developed	develop	VERB
ejpam-6110	27	9	by	by	ADP
ejpam-6110	27	10	atanassov	atanassov	NOUN
ejpam-6110	27	11	[	[	X
ejpam-6110	27	12	5	5	NUM
ejpam-6110	27	13	]	]	PUNCT
ejpam-6110	27	14	.	.	PUNCT
ejpam-6110	28	1	in	in	ADP
ejpam-6110	28	2	contrast	contrast	NOUN
ejpam-6110	28	3	to	to	ADP
ejpam-6110	28	4	traditional	traditional	ADJ
ejpam-6110	28	5	fs	fs	PROPN
ejpam-6110	28	6	theory	theory	NOUN
ejpam-6110	28	7	,	,	PUNCT
ejpam-6110	28	8	nm	nm	NOUN
ejpam-6110	28	9	and	and	CCONJ
ejpam-6110	28	10	indeterminacy	indeterminacy	NOUN
ejpam-6110	28	11	degree	degree	NOUN
ejpam-6110	28	12	notations	notation	NOUN
ejpam-6110	28	13	are	be	AUX
ejpam-6110	28	14	specified	specify	VERB
ejpam-6110	28	15	in	in	ADP
ejpam-6110	28	16	addition	addition	NOUN
ejpam-6110	28	17	to	to	ADP
ejpam-6110	28	18	m	m	NOUN
ejpam-6110	28	19	degree	degree	NOUN
ejpam-6110	28	20	.	.	PUNCT
ejpam-6110	29	1	by	by	ADP
ejpam-6110	29	2	expanding	expand	VERB
ejpam-6110	29	3	with	with	ADP
ejpam-6110	29	4	several	several	ADJ
ejpam-6110	29	5	technologies	technology	NOUN
ejpam-6110	29	6	,	,	PUNCT
ejpam-6110	29	7	ifs	ifs	PROPN
ejpam-6110	29	8	may	may	AUX
ejpam-6110	29	9	be	be	AUX
ejpam-6110	29	10	utilised	utilise	VERB
ejpam-6110	29	11	to	to	PART
ejpam-6110	29	12	solve	solve	VERB
ejpam-6110	29	13	problems	problem	NOUN
ejpam-6110	29	14	and	and	CCONJ
ejpam-6110	29	15	make	make	VERB
ejpam-6110	29	16	decisions	decision	NOUN
ejpam-6110	29	17	by	by	ADP
ejpam-6110	29	18	taking	take	VERB
ejpam-6110	29	19	use	use	NOUN
ejpam-6110	29	20	of	of	ADP
ejpam-6110	29	21	their	their	PRON
ejpam-6110	29	22	capabilities	capability	NOUN
ejpam-6110	29	23	to	to	PART
ejpam-6110	29	24	identify	identify	VERB
ejpam-6110	29	25	ambiguity	ambiguity	NOUN
ejpam-6110	29	26	and	and	CCONJ
ejpam-6110	29	27	inaccuracy	inaccuracy	NOUN
ejpam-6110	29	28	.	.	PUNCT
ejpam-6110	30	1	new	new	ADJ
ejpam-6110	30	2	approaches	approach	NOUN
ejpam-6110	30	3	to	to	ADP
ejpam-6110	30	4	multifaceted	multifaceted	ADJ
ejpam-6110	30	5	decision	decision	NOUN
ejpam-6110	30	6	-	-	PUNCT
ejpam-6110	30	7	making	making	NOUN
ejpam-6110	30	8	in	in	ADP
ejpam-6110	30	9	an	an	DET
ejpam-6110	30	10	intuitionistic	intuitionistic	ADJ
ejpam-6110	30	11	fuzzy	fuzzy	ADJ
ejpam-6110	30	12	context	context	NOUN
ejpam-6110	30	13	liu	liu	PROPN
ejpam-6110	30	14	presented	present	VERB
ejpam-6110	30	15	in	in	ADP
ejpam-6110	30	16	[	[	X
ejpam-6110	30	17	6	6	NUM
ejpam-6110	30	18	]	]	PUNCT
ejpam-6110	30	19	.	.	PUNCT
ejpam-6110	31	1	to	to	PART
ejpam-6110	31	2	determine	determine	VERB
ejpam-6110	31	3	the	the	DET
ejpam-6110	31	4	extent	extent	NOUN
ejpam-6110	31	5	to	to	PART
ejpam-6110	31	6	which	which	PRON
ejpam-6110	31	7	options	option	NOUN
ejpam-6110	31	8	meet	meet	VERB
ejpam-6110	31	9	or	or	CCONJ
ejpam-6110	31	10	fall	fall	VERB
ejpam-6110	31	11	short	short	ADV
ejpam-6110	31	12	of	of	ADP
ejpam-6110	31	13	the	the	DET
ejpam-6110	31	14	decisionmaker	decisionmaker	NOUN
ejpam-6110	31	15	’s	’s	PART
ejpam-6110	31	16	requirements	requirement	NOUN
ejpam-6110	31	17	,	,	PUNCT
ejpam-6110	31	18	define	define	VERB
ejpam-6110	31	19	a	a	DET
ejpam-6110	31	20	measure	measure	NOUN
ejpam-6110	31	21	algorithm	algorithm	NOUN
ejpam-6110	31	22	.	.	PUNCT
ejpam-6110	32	1	after	after	ADP
ejpam-6110	32	2	that	that	PRON
ejpam-6110	32	3	,	,	PUNCT
ejpam-6110	32	4	talk	talk	VERB
ejpam-6110	32	5	about	about	ADP
ejpam-6110	32	6	intuitionistic	intuitionistic	ADJ
ejpam-6110	32	7	fuzzy	fuzzy	ADJ
ejpam-6110	32	8	point	point	NOUN
ejpam-6110	32	9	operators	operator	NOUN
ejpam-6110	32	10	.	.	PUNCT
ejpam-6110	33	1	according	accord	VERB
ejpam-6110	33	2	to	to	ADP
ejpam-6110	33	3	the	the	DET
ejpam-6110	33	4	finest	fine	ADJ
ejpam-6110	33	5	supplier	supplier	NOUN
ejpam-6110	33	6	in	in	ADP
ejpam-6110	33	7	a	a	DET
ejpam-6110	33	8	group	group	NOUN
ejpam-6110	33	9	decision	decision	NOUN
ejpam-6110	33	10	-	-	PUNCT
ejpam-6110	33	11	making	making	NOUN
ejpam-6110	33	12	setting	setting	NOUN
ejpam-6110	33	13	,	,	PUNCT
ejpam-6110	33	14	boran	boran	PROPN
ejpam-6110	33	15	et	et	PROPN
ejpam-6110	33	16	al	al	PROPN
ejpam-6110	33	17	.	.	PUNCT
ejpam-6110	34	1	[	[	X
ejpam-6110	34	2	7	7	X
ejpam-6110	34	3	]	]	PUNCT
ejpam-6110	34	4	suggest	suggest	AUX
ejpam-6110	34	5	combining	combine	VERB
ejpam-6110	34	6	the	the	DET
ejpam-6110	34	7	topsis	topsis	NOUN
ejpam-6110	34	8	technique	technique	NOUN
ejpam-6110	34	9	with	with	ADP
ejpam-6110	34	10	intuitionistic	intuitionistic	ADJ
ejpam-6110	34	11	fss	fss	NOUN
ejpam-6110	34	12	.	.	PUNCT
ejpam-6110	35	1	to	to	PART
ejpam-6110	35	2	rate	rate	VERB
ejpam-6110	35	3	the	the	DET
ejpam-6110	35	4	significance	significance	NOUN
ejpam-6110	35	5	of	of	ADP
ejpam-6110	35	6	conditions	condition	NOUN
ejpam-6110	35	7	and	and	CCONJ
ejpam-6110	35	8	alternative	alternative	ADJ
ejpam-6110	35	9	solutions	solution	NOUN
ejpam-6110	35	10	,	,	PUNCT
ejpam-6110	35	11	the	the	DET
ejpam-6110	35	12	unique	unique	ADJ
ejpam-6110	35	13	views	view	NOUN
ejpam-6110	35	14	within	within	ADP
ejpam-6110	35	15	decision	decision	NOUN
ejpam-6110	35	16	makers	maker	NOUN
ejpam-6110	35	17	are	be	AUX
ejpam-6110	35	18	aggregated	aggregate	VERB
ejpam-6110	35	19	using	use	VERB
ejpam-6110	35	20	the	the	DET
ejpam-6110	35	21	intuitionistic	intuitionistic	ADJ
ejpam-6110	35	22	fuzzy	fuzzy	ADJ
ejpam-6110	35	23	weighted	weight	VERB
ejpam-6110	35	24	averaging	average	VERB
ejpam-6110	35	25	(	(	PUNCT
ejpam-6110	35	26	ifwa	ifwa	NOUN
ejpam-6110	35	27	)	)	PUNCT
ejpam-6110	35	28	method	method	NOUN
ejpam-6110	35	29	.	.	PUNCT
ejpam-6110	36	1	the	the	DET
ejpam-6110	36	2	innovative	innovative	ADJ
ejpam-6110	36	3	similarity	similarity	NOUN
ejpam-6110	36	4	metric	metric	ADJ
ejpam-6110	36	5	between	between	ADP
ejpam-6110	36	6	atanassov	atanassov	PROPN
ejpam-6110	36	7	’s	’s	PART
ejpam-6110	36	8	intuitionistic	intuitionistic	ADJ
ejpam-6110	36	9	fss	fss	NOUN
ejpam-6110	36	10	(	(	PUNCT
ejpam-6110	36	11	aifss	aifss	NOUN
ejpam-6110	36	12	)	)	PUNCT
ejpam-6110	36	13	established	establish	VERB
ejpam-6110	36	14	the	the	DET
ejpam-6110	36	15	transformation	transformation	NOUN
ejpam-6110	36	16	of	of	ADP
ejpam-6110	36	17	unique	unique	ADJ
ejpam-6110	36	18	techniques	technique	NOUN
ejpam-6110	36	19	was	be	AUX
ejpam-6110	36	20	introduced	introduce	VERB
ejpam-6110	36	21	by	by	ADP
ejpam-6110	36	22	chen	chen	PROPN
ejpam-6110	36	23	et	et	PROPN
ejpam-6110	36	24	al	al	PROPN
ejpam-6110	36	25	.	.	PUNCT
ejpam-6110	37	1	in	in	ADP
ejpam-6110	37	2	[	[	X
ejpam-6110	37	3	8	8	NUM
ejpam-6110	37	4	]	]	PUNCT
ejpam-6110	37	5	.	.	PUNCT
ejpam-6110	38	1	the	the	DET
ejpam-6110	38	2	connection	connection	NOUN
ejpam-6110	38	3	metric	metric	ADJ
ejpam-6110	38	4	between	between	ADP
ejpam-6110	38	5	aifss	aifss	PROPN
ejpam-6110	38	6	was	be	AUX
ejpam-6110	38	7	then	then	ADV
ejpam-6110	38	8	applied	apply	VERB
ejpam-6110	38	9	to	to	ADP
ejpam-6110	38	10	pattern	pattern	NOUN
ejpam-6110	38	11	recognition	recognition	NOUN
ejpam-6110	38	12	tasks	task	NOUN
ejpam-6110	38	13	.	.	PUNCT
ejpam-6110	39	1	first	first	ADV
ejpam-6110	39	2	,	,	PUNCT
ejpam-6110	39	3	provide	provide	VERB
ejpam-6110	39	4	a	a	DET
ejpam-6110	39	5	novel	novel	ADJ
ejpam-6110	39	6	similarity	similarity	NOUN
ejpam-6110	39	7	metric	metric	NOUN
ejpam-6110	39	8	between	between	ADP
ejpam-6110	39	9	atanassov	atanassov	PROPN
ejpam-6110	39	10	’s	’s	PART
ejpam-6110	39	11	intuitionistic	intuitionistic	ADJ
ejpam-6110	39	12	fuzzy	fuzzy	ADJ
ejpam-6110	39	13	values	value	NOUN
ejpam-6110	39	14	(	(	PUNCT
ejpam-6110	39	15	aifvs	aifvs	ADJ
ejpam-6110	39	16	)	)	PUNCT
ejpam-6110	39	17	and	and	CCONJ
ejpam-6110	39	18	demonstrate	demonstrate	VERB
ejpam-6110	39	19	a	a	DET
ejpam-6110	39	20	few	few	ADJ
ejpam-6110	39	21	of	of	ADP
ejpam-6110	39	22	its	its	PRON
ejpam-6110	39	23	characteristics	characteristic	NOUN
ejpam-6110	39	24	.	.	PUNCT
ejpam-6110	40	1	next	next	ADV
ejpam-6110	40	2	,	,	PUNCT
ejpam-6110	40	3	the	the	DET
ejpam-6110	40	4	similarity	similarity	NOUN
ejpam-6110	40	5	measure	measure	NOUN
ejpam-6110	40	6	of	of	ADP
ejpam-6110	40	7	aifvs	aifvs	NOUN
ejpam-6110	40	8	is	be	AUX
ejpam-6110	40	9	extends	extend	NOUN
ejpam-6110	40	10	based	base	VERB
ejpam-6110	40	11	on	on	ADP
ejpam-6110	40	12	the	the	DET
ejpam-6110	40	13	suggested	suggest	VERB
ejpam-6110	40	14	similarity	similarity	NOUN
ejpam-6110	40	15	measure	measure	NOUN
ejpam-6110	40	16	between	between	ADP
ejpam-6110	40	17	aifvs	aifvs	NOUN
ejpam-6110	40	18	.	.	PUNCT
ejpam-6110	41	1	its	its	PRON
ejpam-6110	41	2	properties	property	NOUN
ejpam-6110	41	3	are	be	AUX
ejpam-6110	41	4	demonstrated	demonstrate	VERB
ejpam-6110	41	5	,	,	PUNCT
ejpam-6110	41	6	and	and	CCONJ
ejpam-6110	41	7	examples	example	NOUN
ejpam-6110	41	8	are	be	AUX
ejpam-6110	41	9	provided	provide	VERB
ejpam-6110	41	10	to	to	PART
ejpam-6110	41	11	show	show	VERB
ejpam-6110	41	12	how	how	SCONJ
ejpam-6110	41	13	the	the	DET
ejpam-6110	41	14	initiate	initiate	NOUN
ejpam-6110	41	15	similarity	similarity	NOUN
ejpam-6110	41	16	measure	measure	NOUN
ejpam-6110	41	17	between	between	ADP
ejpam-6110	41	18	aifvs	aifvs	NOUN
ejpam-6110	41	19	can	can	AUX
ejpam-6110	41	20	overcome	overcome	VERB
ejpam-6110	41	21	the	the	DET
ejpam-6110	41	22	shortcomings	shortcoming	NOUN
ejpam-6110	41	23	of	of	ADP
ejpam-6110	41	24	the	the	DET
ejpam-6110	41	25	current	current	ADJ
ejpam-6110	41	26	similarity	similarity	NOUN
ejpam-6110	41	27	measures	measure	NOUN
ejpam-6110	41	28	.	.	PUNCT
ejpam-6110	42	1	lastly	lastly	ADV
ejpam-6110	42	2	,	,	PUNCT
ejpam-6110	42	3	use	use	VERB
ejpam-6110	42	4	the	the	DET
ejpam-6110	42	5	aifvs	aifvs	ADJ
ejpam-6110	42	6	similarity	similarity	NOUN
ejpam-6110	42	7	metric	metric	ADJ
ejpam-6110	42	8	to	to	PART
ejpam-6110	42	9	address	address	VERB
ejpam-6110	42	10	issues	issue	NOUN
ejpam-6110	42	11	with	with	ADP
ejpam-6110	42	12	pattern	pattern	NOUN
ejpam-6110	42	13	recognition	recognition	NOUN
ejpam-6110	42	14	.	.	PUNCT
ejpam-6110	43	1	the	the	DET
ejpam-6110	43	2	intuitionistic	intuitionistic	ADJ
ejpam-6110	43	3	fuzzy	fuzzy	ADJ
ejpam-6110	43	4	social	social	ADJ
ejpam-6110	43	5	relational	relational	ADJ
ejpam-6110	43	6	network	network	NOUN
ejpam-6110	43	7	(	(	PUNCT
ejpam-6110	43	8	ifsrn	ifsrn	NOUN
ejpam-6110	43	9	)	)	PUNCT
ejpam-6110	43	10	model	model	NOUN
ejpam-6110	43	11	,	,	PUNCT
ejpam-6110	43	12	which	which	PRON
ejpam-6110	43	13	includes	include	VERB
ejpam-6110	43	14	positive	positive	ADJ
ejpam-6110	43	15	,	,	PUNCT
ejpam-6110	43	16	neutral	neutral	ADJ
ejpam-6110	43	17	,	,	PUNCT
ejpam-6110	43	18	and	and	CCONJ
ejpam-6110	43	19	negative	negative	ADJ
ejpam-6110	43	20	relationships	relationship	NOUN
ejpam-6110	43	21	between	between	ADP
ejpam-6110	43	22	the	the	DET
ejpam-6110	43	23	degrees	degree	NOUN
ejpam-6110	43	24	which	which	PRON
ejpam-6110	43	25	can	can	AUX
ejpam-6110	43	26	be	be	AUX
ejpam-6110	43	27	expressed	express	VERB
ejpam-6110	43	28	by	by	ADP
ejpam-6110	43	29	intuitionistic	intuitionistic	ADJ
ejpam-6110	43	30	fuzzy	fuzzy	ADJ
ejpam-6110	43	31	values	value	NOUN
ejpam-6110	43	32	(	(	PUNCT
ejpam-6110	43	33	ifvs	ifvs	ADJ
ejpam-6110	43	34	)	)	PUNCT
ejpam-6110	43	35	is	be	AUX
ejpam-6110	43	36	the	the	DET
ejpam-6110	43	37	basis	basis	NOUN
ejpam-6110	43	38	for	for	ADP
ejpam-6110	43	39	fuzzy	fuzzy	ADJ
ejpam-6110	43	40	query	query	NOUN
ejpam-6110	43	41	progressing	progress	VERB
ejpam-6110	43	42	methods	method	NOUN
ejpam-6110	43	43	in	in	ADP
ejpam-6110	43	44	[	[	X
ejpam-6110	43	45	9	9	NUM
ejpam-6110	43	46	]	]	X
ejpam-6110	43	47	chen	chen	PROPN
ejpam-6110	43	48	et	et	PROPN
ejpam-6110	43	49	al	al	PROPN
ejpam-6110	43	50	.	.	PROPN
ejpam-6110	43	51	ejegwa	ejegwa	PROPN
ejpam-6110	43	52	and	and	CCONJ
ejpam-6110	43	53	agbetayo	agbetayo	NOUN
ejpam-6110	43	54	present	present	ADJ
ejpam-6110	43	55	a	a	DET
ejpam-6110	43	56	new	new	ADJ
ejpam-6110	43	57	similarity	similarity	NOUN
ejpam-6110	43	58	-	-	PUNCT
ejpam-6110	43	59	distance	distance	NOUN
ejpam-6110	43	60	method	method	NOUN
ejpam-6110	43	61	with	with	ADP
ejpam-6110	43	62	a	a	DET
ejpam-6110	43	63	higher	high	ADJ
ejpam-6110	43	64	score	score	NOUN
ejpam-6110	43	65	m.	m.	NOUN
ejpam-6110	43	66	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	43	67	et	et	PROPN
ejpam-6110	43	68	al	al	PROPN
ejpam-6110	43	69	.	.	PUNCT
ejpam-6110	43	70	/	/	SYM
ejpam-6110	43	71	eur	eur	PROPN
ejpam-6110	43	72	.	.	PUNCT
ejpam-6110	44	1	j.	j.	PROPN
ejpam-6110	44	2	pure	pure	PROPN
ejpam-6110	44	3	appl	appl	PROPN
ejpam-6110	44	4	.	.	PROPN
ejpam-6110	44	5	math	math	PROPN
ejpam-6110	44	6	,	,	PUNCT
ejpam-6110	44	7	18	18	NUM
ejpam-6110	44	8	(	(	PUNCT
ejpam-6110	44	9	3	3	NUM
ejpam-6110	44	10	)	)	PUNCT
ejpam-6110	44	11	(	(	PUNCT
ejpam-6110	44	12	2025	2025	NUM
ejpam-6110	44	13	)	)	PUNCT
ejpam-6110	44	14	,	,	PUNCT
ejpam-6110	44	15	6110	6110	NUM
ejpam-6110	44	16	3	3	NUM
ejpam-6110	44	17	of	of	ADP
ejpam-6110	44	18	20	20	NUM
ejpam-6110	44	19	for	for	ADP
ejpam-6110	44	20	efficiency	efficiency	NOUN
ejpam-6110	44	21	in	in	ADP
ejpam-6110	44	22	[	[	X
ejpam-6110	44	23	10	10	NUM
ejpam-6110	44	24	]	]	PUNCT
ejpam-6110	44	25	.	.	PUNCT
ejpam-6110	45	1	to	to	PART
ejpam-6110	45	2	demonstrate	demonstrate	VERB
ejpam-6110	45	3	the	the	DET
ejpam-6110	45	4	benefits	benefit	NOUN
ejpam-6110	45	5	of	of	ADP
ejpam-6110	45	6	the	the	DET
ejpam-6110	45	7	unique	unique	ADJ
ejpam-6110	45	8	similarity	similarity	NOUN
ejpam-6110	45	9	-	-	PUNCT
ejpam-6110	45	10	distance	distance	NOUN
ejpam-6110	45	11	over	over	ADP
ejpam-6110	45	12	comparable	comparable	ADJ
ejpam-6110	45	13	current	current	ADJ
ejpam-6110	45	14	techniques	technique	NOUN
ejpam-6110	45	15	,	,	PUNCT
ejpam-6110	45	16	an	an	DET
ejpam-6110	45	17	evaluation	evaluation	NOUN
ejpam-6110	45	18	is	be	AUX
ejpam-6110	45	19	provided	provide	VERB
ejpam-6110	45	20	.	.	PUNCT
ejpam-6110	46	1	a	a	DET
ejpam-6110	46	2	few	few	ADJ
ejpam-6110	46	3	characteristics	characteristic	NOUN
ejpam-6110	46	4	of	of	ADP
ejpam-6110	46	5	the	the	DET
ejpam-6110	46	6	similarity	similarity	NOUN
ejpam-6110	46	7	-	-	PUNCT
ejpam-6110	46	8	distance	distance	NOUN
ejpam-6110	46	9	method	method	NOUN
ejpam-6110	46	10	are	be	AUX
ejpam-6110	46	11	shown	show	VERB
ejpam-6110	46	12	.	.	PUNCT
ejpam-6110	47	1	additionally	additionally	ADV
ejpam-6110	47	2	,	,	PUNCT
ejpam-6110	47	3	the	the	DET
ejpam-6110	47	4	innovative	innovative	ADJ
ejpam-6110	47	5	similarity	similarity	NOUN
ejpam-6110	47	6	-	-	PUNCT
ejpam-6110	47	7	distance	distance	NOUN
ejpam-6110	47	8	technique	technique	NOUN
ejpam-6110	47	9	’s	’s	PART
ejpam-6110	47	10	applicability	applicability	NOUN
ejpam-6110	47	11	in	in	ADP
ejpam-6110	47	12	various	various	ADJ
ejpam-6110	47	13	cases	case	NOUN
ejpam-6110	47	14	of	of	ADP
ejpam-6110	47	15	decision	decision	NOUN
ejpam-6110	47	16	-	-	PUNCT
ejpam-6110	47	17	making	making	NOUN
ejpam-6110	47	18	are	be	AUX
ejpam-6110	47	19	investigated	investigate	VERB
ejpam-6110	47	20	.	.	PUNCT
ejpam-6110	48	1	in	in	ADP
ejpam-6110	48	2	[	[	X
ejpam-6110	48	3	11	11	NUM
ejpam-6110	48	4	]	]	PUNCT
ejpam-6110	48	5	,	,	PUNCT
ejpam-6110	48	6	garg	garg	PROPN
ejpam-6110	48	7	et	et	PROPN
ejpam-6110	48	8	al	al	PROPN
ejpam-6110	48	9	.	.	PROPN
ejpam-6110	48	10	introduce	introduce	VERB
ejpam-6110	48	11	a	a	DET
ejpam-6110	48	12	unique	unique	ADJ
ejpam-6110	48	13	algebraic	algebraic	ADJ
ejpam-6110	48	14	structure	structure	NOUN
ejpam-6110	48	15	for	for	ADP
ejpam-6110	48	16	c−	c−	NOUN
ejpam-6110	48	17	ifss	ifss	NOUN
ejpam-6110	48	18	that	that	PRON
ejpam-6110	48	19	is	be	AUX
ejpam-6110	48	20	based	base	VERB
ejpam-6110	48	21	on	on	ADP
ejpam-6110	48	22	archimedean	archimedean	PROPN
ejpam-6110	48	23	t	t	PROPN
ejpam-6110	48	24	-	-	PUNCT
ejpam-6110	48	25	norm	norm	NOUN
ejpam-6110	48	26	operations	operation	NOUN
ejpam-6110	48	27	,	,	PUNCT
ejpam-6110	48	28	such	such	ADJ
ejpam-6110	48	29	as	as	ADP
ejpam-6110	48	30	division	division	NOUN
ejpam-6110	48	31	,	,	PUNCT
ejpam-6110	48	32	addition	addition	NOUN
ejpam-6110	48	33	,	,	PUNCT
ejpam-6110	48	34	multiplication	multiplication	NOUN
ejpam-6110	48	35	,	,	PUNCT
ejpam-6110	48	36	and	and	CCONJ
ejpam-6110	48	37	subtraction	subtraction	NOUN
ejpam-6110	48	38	.	.	PUNCT
ejpam-6110	49	1	a	a	DET
ejpam-6110	49	2	single	single	ADJ
ejpam-6110	49	3	rating	rating	NOUN
ejpam-6110	49	4	may	may	AUX
ejpam-6110	49	5	be	be	AUX
ejpam-6110	49	6	created	create	VERB
ejpam-6110	49	7	by	by	ADP
ejpam-6110	49	8	combining	combine	VERB
ejpam-6110	49	9	the	the	DET
ejpam-6110	49	10	preferences	preference	NOUN
ejpam-6110	49	11	of	of	ADP
ejpam-6110	49	12	several	several	ADJ
ejpam-6110	49	13	experts	expert	NOUN
ejpam-6110	49	14	thanks	thank	NOUN
ejpam-6110	49	15	to	to	ADP
ejpam-6110	49	16	these	these	DET
ejpam-6110	49	17	methods	method	NOUN
ejpam-6110	49	18	.	.	PUNCT
ejpam-6110	50	1	an	an	DET
ejpam-6110	50	2	expanded	expand	VERB
ejpam-6110	50	3	edas	eda	NOUN
ejpam-6110	50	4	(	(	PUNCT
ejpam-6110	50	5	evaluation	evaluation	NOUN
ejpam-6110	50	6	based	base	VERB
ejpam-6110	50	7	on	on	ADP
ejpam-6110	50	8	distance	distance	NOUN
ejpam-6110	50	9	from	from	ADP
ejpam-6110	50	10	average	average	ADJ
ejpam-6110	50	11	solution	solution	NOUN
ejpam-6110	50	12	)	)	PUNCT
ejpam-6110	50	13	approach	approach	NOUN
ejpam-6110	50	14	is	be	AUX
ejpam-6110	50	15	also	also	ADV
ejpam-6110	50	16	used	use	VERB
ejpam-6110	50	17	,	,	PUNCT
ejpam-6110	50	18	which	which	PRON
ejpam-6110	50	19	ranks	rank	VERB
ejpam-6110	50	20	options	option	NOUN
ejpam-6110	50	21	using	use	VERB
ejpam-6110	50	22	defuzzification	defuzzification	NOUN
ejpam-6110	50	23	methods	method	NOUN
ejpam-6110	50	24	and	and	CCONJ
ejpam-6110	50	25	weighted	weight	VERB
ejpam-6110	50	26	aggregation	aggregation	NOUN
ejpam-6110	50	27	methods	method	NOUN
ejpam-6110	50	28	.	.	PUNCT
ejpam-6110	51	1	new	new	ADJ
ejpam-6110	51	2	operators	operator	NOUN
ejpam-6110	51	3	for	for	ADP
ejpam-6110	51	4	gifsbs	gifsbs	NOUN
ejpam-6110	51	5	with	with	ADP
ejpam-6110	51	6	characteristics	characteristic	NOUN
ejpam-6110	51	7	including	include	VERB
ejpam-6110	51	8	idempotency	idempotency	NOUN
ejpam-6110	51	9	,	,	PUNCT
ejpam-6110	51	10	boundedness	boundedness	NOUN
ejpam-6110	51	11	,	,	PUNCT
ejpam-6110	51	12	monotonicity	monotonicity	NOUN
ejpam-6110	51	13	,	,	PUNCT
ejpam-6110	51	14	and	and	CCONJ
ejpam-6110	51	15	commutativity	commutativity	NOUN
ejpam-6110	51	16	are	be	AUX
ejpam-6110	51	17	introduced	introduce	VERB
ejpam-6110	51	18	by	by	ADP
ejpam-6110	51	19	wasim	wasim	PROPN
ejpam-6110	51	20	et	et	PROPN
ejpam-6110	51	21	al	al	PROPN
ejpam-6110	51	22	.	.	PUNCT
ejpam-6110	52	1	in	in	ADP
ejpam-6110	52	2	[	[	X
ejpam-6110	52	3	12	12	NUM
ejpam-6110	52	4	]	]	PUNCT
ejpam-6110	52	5	,	,	PUNCT
ejpam-6110	52	6	producing	produce	VERB
ejpam-6110	52	7	aggregated	aggregate	VERB
ejpam-6110	52	8	values	value	NOUN
ejpam-6110	52	9	that	that	PRON
ejpam-6110	52	10	are	be	AUX
ejpam-6110	52	11	in	in	ADP
ejpam-6110	52	12	line	line	NOUN
ejpam-6110	52	13	with	with	ADP
ejpam-6110	52	14	gifns	gifns	NOUN
ejpam-6110	52	15	.	.	PUNCT
ejpam-6110	53	1	the	the	DET
ejpam-6110	53	2	links	link	NOUN
ejpam-6110	53	3	between	between	ADP
ejpam-6110	53	4	these	these	DET
ejpam-6110	53	5	processes	process	NOUN
ejpam-6110	53	6	are	be	AUX
ejpam-6110	53	7	thoroughly	thoroughly	ADV
ejpam-6110	53	8	examined	examine	VERB
ejpam-6110	53	9	,	,	PUNCT
ejpam-6110	53	10	providing	provide	VERB
ejpam-6110	53	11	a	a	DET
ejpam-6110	53	12	deep	deep	ADJ
ejpam-6110	53	13	comprehension	comprehension	NOUN
ejpam-6110	53	14	of	of	ADP
ejpam-6110	53	15	their	their	PRON
ejpam-6110	53	16	application	application	NOUN
ejpam-6110	53	17	.	.	PUNCT
ejpam-6110	54	1	in	in	ADP
ejpam-6110	54	2	the	the	DET
ejpam-6110	54	3	world	world	NOUN
ejpam-6110	54	4	of	of	ADP
ejpam-6110	54	5	contemporary	contemporary	ADJ
ejpam-6110	54	6	decision	decision	NOUN
ejpam-6110	54	7	making	make	VERB
ejpam-6110	54	8	especially	especially	ADV
ejpam-6110	54	9	in	in	ADP
ejpam-6110	54	10	uncertainty	uncertainty	NOUN
ejpam-6110	54	11	and	and	CCONJ
ejpam-6110	54	12	imprecision	imprecision	NOUN
ejpam-6110	54	13	,	,	PUNCT
ejpam-6110	54	14	techniques	technique	NOUN
ejpam-6110	54	15	of	of	ADP
ejpam-6110	54	16	multi	multi	ADJ
ejpam-6110	54	17	-	-	ADJ
ejpam-6110	54	18	criteria	criterion	NOUN
ejpam-6110	54	19	decision	decision	NOUN
ejpam-6110	54	20	-	-	PUNCT
ejpam-6110	54	21	making	making	NOUN
ejpam-6110	54	22	play	play	VERB
ejpam-6110	54	23	a	a	DET
ejpam-6110	54	24	critical	critical	ADJ
ejpam-6110	54	25	role	role	NOUN
ejpam-6110	54	26	.	.	PUNCT
ejpam-6110	55	1	the	the	DET
ejpam-6110	55	2	study	study	NOUN
ejpam-6110	55	3	by	by	ADP
ejpam-6110	55	4	jawad	jawad	PROPN
ejpam-6110	55	5	ali	ali	PROPN
ejpam-6110	56	1	[	[	X
ejpam-6110	56	2	13	13	NUM
ejpam-6110	56	3	]	]	PUNCT
ejpam-6110	56	4	presents	present	VERB
ejpam-6110	56	5	a	a	DET
ejpam-6110	56	6	hybrid	hybrid	ADJ
ejpam-6110	56	7	mcdm	mcdm	ADJ
ejpam-6110	56	8	method	method	NOUN
ejpam-6110	56	9	which	which	PRON
ejpam-6110	56	10	uses	use	VERB
ejpam-6110	56	11	t	t	PROPN
ejpam-6110	56	12	-	-	PUNCT
ejpam-6110	56	13	spherical	spherical	ADJ
ejpam-6110	56	14	fuzzy	fuzzy	ADJ
ejpam-6110	56	15	sets	set	NOUN
ejpam-6110	56	16	and	and	CCONJ
ejpam-6110	56	17	aczel?alsina	aczel?alsina	PROPN
ejpam-6110	56	18	prioritized	prioritize	VERB
ejpam-6110	56	19	aggregation	aggregation	NOUN
ejpam-6110	56	20	operators	operator	NOUN
ejpam-6110	56	21	.	.	PUNCT
ejpam-6110	57	1	this	this	DET
ejpam-6110	57	2	holistic	holistic	ADJ
ejpam-6110	57	3	modeling	modeling	NOUN
ejpam-6110	57	4	strategy	strategy	NOUN
ejpam-6110	57	5	increases	increase	VERB
ejpam-6110	57	6	the	the	DET
ejpam-6110	57	7	complex	complex	ADJ
ejpam-6110	57	8	scenario	scenario	NOUN
ejpam-6110	57	9	modeling	modeling	NOUN
ejpam-6110	57	10	of	of	ADP
ejpam-6110	57	11	decisions	decision	NOUN
ejpam-6110	57	12	,	,	PUNCT
ejpam-6110	57	13	where	where	SCONJ
ejpam-6110	57	14	subjective	subjective	ADJ
ejpam-6110	57	15	judgment	judgment	NOUN
ejpam-6110	57	16	and	and	CCONJ
ejpam-6110	57	17	objective	objective	ADJ
ejpam-6110	57	18	data	datum	NOUN
ejpam-6110	57	19	are	be	AUX
ejpam-6110	57	20	essential	essential	ADJ
ejpam-6110	57	21	.	.	PUNCT
ejpam-6110	58	1	it	it	PRON
ejpam-6110	58	2	is	be	AUX
ejpam-6110	58	3	effective	effective	ADJ
ejpam-6110	58	4	in	in	ADP
ejpam-6110	58	5	the	the	DET
ejpam-6110	58	6	selection	selection	NOUN
ejpam-6110	58	7	of	of	ADP
ejpam-6110	58	8	apt	apt	ADJ
ejpam-6110	58	9	medical	medical	ADJ
ejpam-6110	58	10	experts	expert	NOUN
ejpam-6110	58	11	that	that	PRON
ejpam-6110	58	12	provide	provide	VERB
ejpam-6110	58	13	stable	stable	ADJ
ejpam-6110	58	14	and	and	CCONJ
ejpam-6110	58	15	flexible	flexible	ADJ
ejpam-6110	58	16	ranking	ranking	ADJ
ejpam-6110	58	17	system	system	NOUN
ejpam-6110	58	18	.	.	PUNCT
ejpam-6110	59	1	complimenting	compliment	VERB
ejpam-6110	59	2	this	this	PRON
ejpam-6110	59	3	,	,	PUNCT
ejpam-6110	59	4	another	another	DET
ejpam-6110	59	5	contribution	contribution	NOUN
ejpam-6110	59	6	by	by	ADP
ejpam-6110	59	7	jawad	jawad	PROPN
ejpam-6110	59	8	ali	ali	PROPN
ejpam-6110	59	9	complimented	compliment	VERB
ejpam-6110	59	10	by	by	ADP
ejpam-6110	59	11	suhad	suhad	PROPN
ejpam-6110	59	12	ali	ali	PROPN
ejpam-6110	59	13	osman	osman	PROPN
ejpam-6110	59	14	abdallah	abdallah	PROPN
ejpam-6110	59	15	and	and	CCONJ
ejpam-6110	59	16	n.	n.	PROPN
ejpam-6110	59	17	s.	s.	PROPN
ejpam-6110	59	18	abd	abd	PROPN
ejpam-6110	59	19	el	el	PROPN
ejpam-6110	59	20	-	-	PUNCT
ejpam-6110	59	21	gawaad	gawaad	NOUN
ejpam-6110	60	1	[	[	X
ejpam-6110	60	2	14	14	NUM
ejpam-6110	60	3	]	]	PUNCT
ejpam-6110	60	4	suggests	suggest	VERB
ejpam-6110	60	5	a	a	DET
ejpam-6110	60	6	state	state	NOUN
ejpam-6110	60	7	-	-	PUNCT
ejpam-6110	60	8	of	of	ADP
ejpam-6110	60	9	-	-	PUNCT
ejpam-6110	60	10	art	art	NOUN
ejpam-6110	60	11	approximation	approximation	NOUN
ejpam-6110	60	12	decision	decision	NOUN
ejpam-6110	60	13	-	-	PUNCT
ejpam-6110	60	14	analysis	analysis	NOUN
ejpam-6110	60	15	framework	framework	NOUN
ejpam-6110	60	16	based	base	VERB
ejpam-6110	60	17	on	on	ADP
ejpam-6110	60	18	swara	swara	PROPN
ejpam-6110	60	19	method	method	NOUN
ejpam-6110	60	20	in	in	ADP
ejpam-6110	60	21	conjunction	conjunction	NOUN
ejpam-6110	60	22	with	with	ADP
ejpam-6110	60	23	frank	frank	ADJ
ejpam-6110	60	24	aggregation	aggregation	NOUN
ejpam-6110	60	25	and	and	CCONJ
ejpam-6110	60	26	p	p	X
ejpam-6110	60	27	,	,	PUNCT
ejpam-6110	60	28	q	q	ADJ
ejpam-6110	60	29	-	-	PUNCT
ejpam-6110	60	30	rung	rung	ADJ
ejpam-6110	60	31	orthopair	orthopair	ADJ
ejpam-6110	60	32	fuzzy	fuzzy	ADJ
ejpam-6110	60	33	information	information	NOUN
ejpam-6110	60	34	.	.	PUNCT
ejpam-6110	61	1	this	this	DET
ejpam-6110	61	2	model	model	NOUN
ejpam-6110	61	3	is	be	AUX
ejpam-6110	61	4	tailored	tailor	VERB
ejpam-6110	61	5	for	for	ADP
ejpam-6110	61	6	the	the	DET
ejpam-6110	61	7	cases	case	NOUN
ejpam-6110	61	8	in	in	ADP
ejpam-6110	61	9	which	which	PRON
ejpam-6110	61	10	the	the	DET
ejpam-6110	61	11	decision	decision	NOUN
ejpam-6110	61	12	-	-	PUNCT
ejpam-6110	61	13	makers	maker	NOUN
ejpam-6110	61	14	have	have	VERB
ejpam-6110	61	15	to	to	PART
ejpam-6110	61	16	evaluate	evaluate	VERB
ejpam-6110	61	17	a	a	DET
ejpam-6110	61	18	number	number	NOUN
ejpam-6110	61	19	of	of	ADP
ejpam-6110	61	20	criteria	criterion	NOUN
ejpam-6110	61	21	with	with	ADP
ejpam-6110	61	22	unknown	unknown	ADJ
ejpam-6110	61	23	weights	weight	NOUN
ejpam-6110	61	24	for	for	ADP
ejpam-6110	61	25	the	the	DET
ejpam-6110	61	26	priority	priority	NOUN
ejpam-6110	61	27	evaluation	evaluation	NOUN
ejpam-6110	61	28	in	in	ADP
ejpam-6110	61	29	the	the	DET
ejpam-6110	61	30	environments	environment	NOUN
ejpam-6110	61	31	of	of	ADP
ejpam-6110	61	32	uncertainty	uncertainty	NOUN
ejpam-6110	61	33	.	.	PUNCT
ejpam-6110	62	1	a	a	DET
ejpam-6110	62	2	multi	multi	ADJ
ejpam-6110	62	3	-	-	ADJ
ejpam-6110	62	4	criteria	criterion	NOUN
ejpam-6110	62	5	decision	decision	NOUN
ejpam-6110	62	6	-	-	PUNCT
ejpam-6110	62	7	making	make	VERB
ejpam-6110	62	8	approach	approach	NOUN
ejpam-6110	62	9	for	for	ADP
ejpam-6110	62	10	assessing	assess	VERB
ejpam-6110	62	11	startup	startup	NOUN
ejpam-6110	62	12	performance	performance	NOUN
ejpam-6110	62	13	in	in	ADP
ejpam-6110	62	14	the	the	DET
ejpam-6110	62	15	it	it	PRON
ejpam-6110	62	16	sector	sector	NOUN
ejpam-6110	62	17	provides	provide	VERB
ejpam-6110	62	18	a	a	DET
ejpam-6110	62	19	real	real	ADJ
ejpam-6110	62	20	demonstration	demonstration	NOUN
ejpam-6110	62	21	of	of	ADP
ejpam-6110	62	22	these	these	DET
ejpam-6110	62	23	concepts	concept	NOUN
ejpam-6110	62	24	.	.	PUNCT
ejpam-6110	63	1	[	[	X
ejpam-6110	63	2	15	15	NUM
ejpam-6110	63	3	]	]	PUNCT
ejpam-6110	63	4	presents	present	VERB
ejpam-6110	63	5	the	the	DET
ejpam-6110	63	6	idea	idea	NOUN
ejpam-6110	63	7	of	of	ADP
ejpam-6110	63	8	complex	complex	ADJ
ejpam-6110	63	9	intuitionistic	intuitionistic	ADJ
ejpam-6110	63	10	fuzzy	fuzzy	ADJ
ejpam-6110	63	11	classes	class	NOUN
ejpam-6110	63	12	,	,	PUNCT
ejpam-6110	63	13	which	which	PRON
ejpam-6110	63	14	are	be	AUX
ejpam-6110	63	15	distinguished	distinguish	VERB
ejpam-6110	63	16	by	by	ADP
ejpam-6110	63	17	their	their	PRON
ejpam-6110	63	18	pure	pure	ADJ
ejpam-6110	63	19	complex	complex	ADJ
ejpam-6110	63	20	intuitionistic	intuitionistic	ADJ
ejpam-6110	63	21	fuzzy	fuzzy	ADJ
ejpam-6110	63	22	m	m	NOUN
ejpam-6110	63	23	grade	grade	NOUN
ejpam-6110	63	24	.	.	PUNCT
ejpam-6110	64	1	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	64	2	and	and	CCONJ
ejpam-6110	64	3	team	team	NOUN
ejpam-6110	65	1	[	[	X
ejpam-6110	65	2	16	16	NUM
ejpam-6110	65	3	]	]	X
ejpam-6110	65	4	propose	propose	VERB
ejpam-6110	65	5	exponential	exponential	ADJ
ejpam-6110	65	6	fuzzy	fuzzy	ADJ
ejpam-6110	65	7	sets	set	NOUN
ejpam-6110	65	8	for	for	ADP
ejpam-6110	65	9	ai	ai	ADJ
ejpam-6110	65	10	-	-	PUNCT
ejpam-6110	65	11	type	type	NOUN
ejpam-6110	65	12	investment	investment	NOUN
ejpam-6110	65	13	decisions	decision	NOUN
ejpam-6110	65	14	,	,	PUNCT
ejpam-6110	65	15	considering	consider	VERB
ejpam-6110	65	16	weighted	weight	VERB
ejpam-6110	65	17	mean	mean	ADJ
ejpam-6110	65	18	aggregation	aggregation	NOUN
ejpam-6110	65	19	as	as	ADP
ejpam-6110	65	20	a	a	DET
ejpam-6110	65	21	way	way	NOUN
ejpam-6110	65	22	of	of	ADP
ejpam-6110	65	23	capturing	capture	VERB
ejpam-6110	65	24	non	non	ADJ
ejpam-6110	65	25	-	-	ADJ
ejpam-6110	65	26	linear	linear	ADJ
ejpam-6110	65	27	uncertainty	uncertainty	NOUN
ejpam-6110	65	28	better	well	ADV
ejpam-6110	65	29	.	.	PUNCT
ejpam-6110	66	1	a	a	DET
ejpam-6110	66	2	compelling	compelling	ADJ
ejpam-6110	66	3	example	example	NOUN
ejpam-6110	66	4	of	of	ADP
ejpam-6110	66	5	a	a	DET
ejpam-6110	66	6	pertinent	pertinent	ADJ
ejpam-6110	66	7	application	application	NOUN
ejpam-6110	66	8	is	be	AUX
ejpam-6110	66	9	given	give	VERB
ejpam-6110	66	10	,	,	PUNCT
ejpam-6110	66	11	together	together	ADV
ejpam-6110	66	12	with	with	ADP
ejpam-6110	66	13	the	the	DET
ejpam-6110	66	14	fundamental	fundamental	ADJ
ejpam-6110	66	15	terminology	terminology	NOUN
ejpam-6110	66	16	and	and	CCONJ
ejpam-6110	66	17	computations	computation	NOUN
ejpam-6110	66	18	on	on	ADP
ejpam-6110	66	19	intricate	intricate	ADJ
ejpam-6110	66	20	intuitionistic	intuitionistic	ADJ
ejpam-6110	66	21	fuzzy	fuzzy	ADJ
ejpam-6110	66	22	classes	class	NOUN
ejpam-6110	66	23	.	.	PUNCT
ejpam-6110	67	1	using	use	VERB
ejpam-6110	67	2	quaternion	quaternion	NOUN
ejpam-6110	67	3	numbers	number	NOUN
ejpam-6110	67	4	as	as	ADP
ejpam-6110	67	5	a	a	DET
ejpam-6110	67	6	basis	basis	NOUN
ejpam-6110	67	7	ngan	ngan	PROPN
ejpam-6110	67	8	et	et	PROPN
ejpam-6110	67	9	al	al	PROPN
ejpam-6110	67	10	.	.	PUNCT
ejpam-6110	68	1	in	in	ADP
ejpam-6110	68	2	[	[	X
ejpam-6110	68	3	17	17	NUM
ejpam-6110	68	4	]	]	PUNCT
ejpam-6110	68	5	provide	provide	VERB
ejpam-6110	68	6	new	new	ADJ
ejpam-6110	68	7	operations	operation	NOUN
ejpam-6110	68	8	and	and	CCONJ
ejpam-6110	68	9	analyse	analyse	VERB
ejpam-6110	68	10	the	the	DET
ejpam-6110	68	11	logic	logic	NOUN
ejpam-6110	68	12	operations	operation	NOUN
ejpam-6110	68	13	and	and	CCONJ
ejpam-6110	68	14	order	order	NOUN
ejpam-6110	68	15	relations	relation	NOUN
ejpam-6110	68	16	of	of	ADP
ejpam-6110	68	17	the	the	DET
ejpam-6110	68	18	complex	complex	ADJ
ejpam-6110	68	19	intuitionistic	intuitionistic	ADJ
ejpam-6110	68	20	fs	fs	ADP
ejpam-6110	68	21	theory	theory	NOUN
ejpam-6110	68	22	.	.	PUNCT
ejpam-6110	69	1	two	two	NUM
ejpam-6110	69	2	algebraic	algebraic	ADJ
ejpam-6110	69	3	and	and	CCONJ
ejpam-6110	69	4	polar	polar	ADJ
ejpam-6110	69	5	quaternion	quaternion	NOUN
ejpam-6110	69	6	distance	distance	NOUN
ejpam-6110	69	7	measurements	measurement	NOUN
ejpam-6110	69	8	were	be	AUX
ejpam-6110	69	9	also	also	ADV
ejpam-6110	69	10	covered	cover	VERB
ejpam-6110	69	11	,	,	PUNCT
ejpam-6110	69	12	along	along	ADP
ejpam-6110	69	13	with	with	ADP
ejpam-6110	69	14	an	an	DET
ejpam-6110	69	15	analysis	analysis	NOUN
ejpam-6110	69	16	of	of	ADP
ejpam-6110	69	17	their	their	PRON
ejpam-6110	69	18	characteristics	characteristic	NOUN
ejpam-6110	69	19	.	.	PUNCT
ejpam-6110	70	1	akram	akram	PROPN
ejpam-6110	70	2	et	et	PROPN
ejpam-6110	70	3	al	al	PROPN
ejpam-6110	70	4	.	.	PROPN
ejpam-6110	70	5	present	present	VERB
ejpam-6110	70	6	the	the	DET
ejpam-6110	70	7	cif	cif	PROPN
ejpam-6110	70	8	hamacher	hamacher	PROPN
ejpam-6110	70	9	weighted	weight	VERB
ejpam-6110	70	10	averaging	average	VERB
ejpam-6110	70	11	(	(	PUNCT
ejpam-6110	70	12	cifhwa	cifhwa	PROPN
ejpam-6110	70	13	)	)	PUNCT
ejpam-6110	70	14	,	,	PUNCT
ejpam-6110	70	15	cif	cif	PROPN
ejpam-6110	70	16	hamacher	hamacher	PROPN
ejpam-6110	70	17	ordered	order	VERB
ejpam-6110	70	18	weighted	weight	VERB
ejpam-6110	70	19	averaging	average	VERB
ejpam-6110	70	20	(	(	PUNCT
ejpam-6110	70	21	cifhowa	cifhowa	PROPN
ejpam-6110	70	22	)	)	PUNCT
ejpam-6110	70	23	,	,	PUNCT
ejpam-6110	70	24	cif	cif	PROPN
ejpam-6110	70	25	hamacher	hamacher	PROPN
ejpam-6110	70	26	weighted	weight	VERB
ejpam-6110	70	27	geometric	geometric	ADJ
ejpam-6110	70	28	(	(	PUNCT
ejpam-6110	70	29	cifhwg	cifhwg	NOUN
ejpam-6110	70	30	)	)	PUNCT
ejpam-6110	70	31	,	,	PUNCT
ejpam-6110	70	32	and	and	CCONJ
ejpam-6110	70	33	cif	cif	PROPN
ejpam-6110	70	34	hamacher	hamacher	PROPN
ejpam-6110	70	35	ordered	order	VERB
ejpam-6110	70	36	weighted	weight	VERB
ejpam-6110	70	37	geometric	geometric	ADJ
ejpam-6110	70	38	(	(	PUNCT
ejpam-6110	70	39	cifhowg	cifhowg	NOUN
ejpam-6110	70	40	)	)	PUNCT
ejpam-6110	70	41	operators	operator	NOUN
ejpam-6110	70	42	in	in	ADP
ejpam-6110	70	43	[	[	X
ejpam-6110	70	44	18	18	NUM
ejpam-6110	70	45	]	]	PUNCT
ejpam-6110	70	46	.	.	PUNCT
ejpam-6110	71	1	in	in	ADP
ejpam-6110	71	2	order	order	NOUN
ejpam-6110	71	3	to	to	PART
ejpam-6110	71	4	determine	determine	VERB
ejpam-6110	71	5	the	the	DET
ejpam-6110	71	6	phase	phase	NOUN
ejpam-6110	71	7	term	term	NOUN
ejpam-6110	71	8	,	,	PUNCT
ejpam-6110	71	9	zeeshan	zeeshan	PROPN
ejpam-6110	71	10	and	and	CCONJ
ejpam-6110	71	11	khan	khan	PROPN
ejpam-6110	72	1	[	[	X
ejpam-6110	72	2	19	19	NUM
ejpam-6110	72	3	]	]	PUNCT
ejpam-6110	72	4	produced	produce	VERB
ejpam-6110	72	5	several	several	ADJ
ejpam-6110	72	6	fundamental	fundamental	ADJ
ejpam-6110	72	7	conclusions	conclusion	NOUN
ejpam-6110	72	8	and	and	CCONJ
ejpam-6110	72	9	specific	specific	ADJ
ejpam-6110	72	10	instances	instance	NOUN
ejpam-6110	72	11	for	for	ADP
ejpam-6110	72	12	standard	standard	ADJ
ejpam-6110	72	13	complex	complex	NOUN
ejpam-6110	72	14	of	of	ADP
ejpam-6110	72	15	fuzzy	fuzzy	ADJ
ejpam-6110	72	16	intersection	intersection	NOUN
ejpam-6110	72	17	,	,	PUNCT
ejpam-6110	72	18	union	union	NOUN
ejpam-6110	72	19	,	,	PUNCT
ejpam-6110	72	20	and	and	CCONJ
ejpam-6110	72	21	complement	complement	NOUN
ejpam-6110	72	22	functions	function	NOUN
ejpam-6110	72	23	with	with	ADP
ejpam-6110	72	24	the	the	DET
ejpam-6110	72	25	same	same	ADJ
ejpam-6110	72	26	function	function	NOUN
ejpam-6110	72	27	.	.	PUNCT
ejpam-6110	73	1	sobhi	sobhi	PROPN
ejpam-6110	73	2	and	and	CCONJ
ejpam-6110	73	3	dick	dick	PROPN
ejpam-6110	74	1	[	[	X
ejpam-6110	74	2	20	20	NUM
ejpam-6110	74	3	]	]	PUNCT
ejpam-6110	74	4	a	a	DET
ejpam-6110	74	5	novel	novel	ADJ
ejpam-6110	74	6	neuro	neuro	NOUN
ejpam-6110	74	7	-	-	PUNCT
ejpam-6110	74	8	fuzzy	fuzzy	ADJ
ejpam-6110	74	9	infrastructure	infrastructure	NOUN
ejpam-6110	74	10	built	build	VERB
ejpam-6110	74	11	for	for	ADP
ejpam-6110	74	12	enormous	enormous	ADJ
ejpam-6110	74	13	m.	m.	NOUN
ejpam-6110	74	14	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	74	15	et	et	PROPN
ejpam-6110	74	16	al	al	PROPN
ejpam-6110	74	17	.	.	PUNCT
ejpam-6110	74	18	/	/	SYM
ejpam-6110	74	19	eur	eur	PROPN
ejpam-6110	74	20	.	.	PUNCT
ejpam-6110	75	1	j.	j.	PROPN
ejpam-6110	75	2	pure	pure	PROPN
ejpam-6110	75	3	appl	appl	PROPN
ejpam-6110	75	4	.	.	PROPN
ejpam-6110	75	5	math	math	PROPN
ejpam-6110	75	6	,	,	PUNCT
ejpam-6110	75	7	18	18	NUM
ejpam-6110	75	8	(	(	PUNCT
ejpam-6110	75	9	3	3	NUM
ejpam-6110	75	10	)	)	PUNCT
ejpam-6110	75	11	(	(	PUNCT
ejpam-6110	75	12	2025	2025	NUM
ejpam-6110	75	13	)	)	PUNCT
ejpam-6110	75	14	,	,	PUNCT
ejpam-6110	75	15	6110	6110	NUM
ejpam-6110	75	16	4	4	NUM
ejpam-6110	75	17	of	of	ADP
ejpam-6110	75	18	20	20	NUM
ejpam-6110	75	19	scale	scale	NOUN
ejpam-6110	75	20	learning	learning	NOUN
ejpam-6110	75	21	issues	issue	NOUN
ejpam-6110	75	22	,	,	PUNCT
ejpam-6110	75	23	utilising	utilise	VERB
ejpam-6110	75	24	complex	complex	ADJ
ejpam-6110	75	25	fss	fss	NOUN
ejpam-6110	75	26	.	.	PUNCT
ejpam-6110	76	1	in	in	ADP
ejpam-6110	76	2	[	[	X
ejpam-6110	76	3	21	21	NUM
ejpam-6110	76	4	]	]	X
ejpam-6110	76	5	,	,	PUNCT
ejpam-6110	76	6	bilal	bilal	PROPN
ejpam-6110	76	7	et	et	PROPN
ejpam-6110	76	8	al	al	PROPN
ejpam-6110	76	9	.	.	PROPN
ejpam-6110	76	10	offer	offer	VERB
ejpam-6110	76	11	numerous	numerous	ADJ
ejpam-6110	76	12	unique	unique	ADJ
ejpam-6110	76	13	operations	operation	NOUN
ejpam-6110	76	14	on	on	ADP
ejpam-6110	76	15	complex	complex	ADJ
ejpam-6110	76	16	intuitionistic	intuitionistic	ADJ
ejpam-6110	76	17	fss	fss	NOUN
ejpam-6110	76	18	,	,	PUNCT
ejpam-6110	76	19	adding	add	VERB
ejpam-6110	76	20	distance	distance	NOUN
ejpam-6110	76	21	measure	measure	NOUN
ejpam-6110	76	22	and	and	CCONJ
ejpam-6110	76	23	σ	σ	NOUN
ejpam-6110	76	24	-	-	NOUN
ejpam-6110	76	25	equalities	equality	NOUN
ejpam-6110	76	26	.	.	PUNCT
ejpam-6110	77	1	1.1	1.1	NUM
ejpam-6110	77	2	.	.	PUNCT
ejpam-6110	78	1	motivation	motivation	NOUN
ejpam-6110	78	2	•	•	ADP
ejpam-6110	78	3	traditional	traditional	ADJ
ejpam-6110	78	4	fuzzy	fuzzy	ADJ
ejpam-6110	78	5	approaches	approach	NOUN
ejpam-6110	78	6	struggle	struggle	VERB
ejpam-6110	78	7	with	with	ADP
ejpam-6110	78	8	contradictory	contradictory	ADJ
ejpam-6110	78	9	and	and	CCONJ
ejpam-6110	78	10	inadequate	inadequate	ADJ
ejpam-6110	78	11	data	datum	NOUN
ejpam-6110	78	12	,	,	PUNCT
ejpam-6110	78	13	making	make	VERB
ejpam-6110	78	14	decision	decision	NOUN
ejpam-6110	78	15	-	-	PUNCT
ejpam-6110	78	16	making	making	NOUN
ejpam-6110	78	17	in	in	ADP
ejpam-6110	78	18	uncertain	uncertain	ADJ
ejpam-6110	78	19	situations	situation	NOUN
ejpam-6110	78	20	difficult	difficult	ADJ
ejpam-6110	78	21	.	.	PUNCT
ejpam-6110	79	1	•	•	NUM
ejpam-6110	79	2	eifs	eif	NOUN
ejpam-6110	79	3	improve	improve	VERB
ejpam-6110	79	4	upon	upon	SCONJ
ejpam-6110	79	5	classic	classic	ADJ
ejpam-6110	79	6	intuitionistic	intuitionistic	ADJ
ejpam-6110	79	7	fss	fss	NOUN
ejpam-6110	79	8	by	by	ADP
ejpam-6110	79	9	using	use	VERB
ejpam-6110	79	10	exponential	exponential	ADJ
ejpam-6110	79	11	functions	function	NOUN
ejpam-6110	79	12	,	,	PUNCT
ejpam-6110	79	13	resulting	result	VERB
ejpam-6110	79	14	in	in	ADP
ejpam-6110	79	15	a	a	DET
ejpam-6110	79	16	more	more	ADV
ejpam-6110	79	17	sophisticated	sophisticated	ADJ
ejpam-6110	79	18	method	method	NOUN
ejpam-6110	79	19	to	to	ADP
ejpam-6110	79	20	modelling	model	VERB
ejpam-6110	79	21	uncertainty	uncertainty	NOUN
ejpam-6110	79	22	.	.	PUNCT
ejpam-6110	80	1	•	•	NUM
ejpam-6110	81	1	eifs	eifs	PROPN
ejpam-6110	81	2	techniques	technique	NOUN
ejpam-6110	81	3	such	such	ADJ
ejpam-6110	81	4	as	as	ADP
ejpam-6110	81	5	intersection	intersection	NOUN
ejpam-6110	81	6	,	,	PUNCT
ejpam-6110	81	7	union	union	NOUN
ejpam-6110	81	8	,	,	PUNCT
ejpam-6110	81	9	difference	difference	NOUN
ejpam-6110	81	10	,	,	PUNCT
ejpam-6110	81	11	and	and	CCONJ
ejpam-6110	81	12	cartesian	cartesian	ADJ
ejpam-6110	81	13	product	product	NOUN
ejpam-6110	81	14	facilitate	facilitate	VERB
ejpam-6110	81	15	the	the	DET
ejpam-6110	81	16	collection	collection	NOUN
ejpam-6110	81	17	and	and	CCONJ
ejpam-6110	81	18	analysis	analysis	NOUN
ejpam-6110	81	19	of	of	ADP
ejpam-6110	81	20	ambiguous	ambiguous	ADJ
ejpam-6110	81	21	decision	decision	NOUN
ejpam-6110	81	22	criteria	criterion	NOUN
ejpam-6110	81	23	.	.	PUNCT
ejpam-6110	82	1	•	•	NUM
ejpam-6110	82	2	eifs	eifs	PROPN
ejpam-6110	82	3	-	-	PUNCT
ejpam-6110	82	4	based	base	VERB
ejpam-6110	82	5	methodologies	methodology	NOUN
ejpam-6110	82	6	improve	improve	VERB
ejpam-6110	82	7	supplier	supplier	NOUN
ejpam-6110	82	8	evaluation	evaluation	NOUN
ejpam-6110	82	9	by	by	ADP
ejpam-6110	82	10	taking	take	VERB
ejpam-6110	82	11	into	into	ADP
ejpam-6110	82	12	account	account	NOUN
ejpam-6110	82	13	unpredictable	unpredictable	ADJ
ejpam-6110	82	14	elements	element	NOUN
ejpam-6110	82	15	such	such	ADJ
ejpam-6110	82	16	as	as	ADP
ejpam-6110	82	17	cost	cost	NOUN
ejpam-6110	82	18	,	,	PUNCT
ejpam-6110	82	19	quality	quality	NOUN
ejpam-6110	82	20	,	,	PUNCT
ejpam-6110	82	21	and	and	CCONJ
ejpam-6110	82	22	delivery	delivery	NOUN
ejpam-6110	82	23	reliability	reliability	NOUN
ejpam-6110	82	24	,	,	PUNCT
ejpam-6110	82	25	resulting	result	VERB
ejpam-6110	82	26	in	in	ADP
ejpam-6110	82	27	more	more	ADV
ejpam-6110	82	28	successful	successful	ADJ
ejpam-6110	82	29	purchasing	purchasing	NOUN
ejpam-6110	82	30	techniques	technique	NOUN
ejpam-6110	82	31	.	.	PUNCT
ejpam-6110	83	1	1.2	1.2	NUM
ejpam-6110	83	2	.	.	PUNCT
ejpam-6110	83	3	novelty	novelty	NOUN
ejpam-6110	83	4	•	•	ADP
ejpam-6110	83	5	formalizes	formalize	VERB
ejpam-6110	83	6	new	new	ADJ
ejpam-6110	83	7	eifs	eif	NOUN
ejpam-6110	83	8	operations	operation	NOUN
ejpam-6110	83	9	,	,	PUNCT
ejpam-6110	83	10	such	such	ADJ
ejpam-6110	83	11	as	as	ADP
ejpam-6110	83	12	exponential	exponential	ADJ
ejpam-6110	83	13	intersection	intersection	NOUN
ejpam-6110	83	14	,	,	PUNCT
ejpam-6110	83	15	union	union	NOUN
ejpam-6110	83	16	,	,	PUNCT
ejpam-6110	83	17	and	and	CCONJ
ejpam-6110	83	18	some	some	DET
ejpam-6110	83	19	difference	difference	NOUN
ejpam-6110	83	20	operations	operation	NOUN
ejpam-6110	83	21	,	,	PUNCT
ejpam-6110	83	22	to	to	PART
ejpam-6110	83	23	extend	extend	VERB
ejpam-6110	83	24	the	the	DET
ejpam-6110	83	25	conventional	conventional	ADJ
ejpam-6110	83	26	set	set	VERB
ejpam-6110	83	27	operations	operation	NOUN
ejpam-6110	83	28	.	.	PUNCT
ejpam-6110	84	1	•	•	NUM
ejpam-6110	84	2	disjoint	disjoint	ADJ
ejpam-6110	84	3	and	and	CCONJ
ejpam-6110	84	4	disjunctive	disjunctive	ADJ
ejpam-6110	84	5	sums	sum	NOUN
ejpam-6110	84	6	and	and	CCONJ
ejpam-6110	84	7	an	an	DET
ejpam-6110	84	8	eif	eif	NOUN
ejpam-6110	84	9	-	-	PUNCT
ejpam-6110	84	10	based	base	VERB
ejpam-6110	84	11	cartesian	cartesian	ADJ
ejpam-6110	84	12	product	product	NOUN
ejpam-6110	84	13	,	,	PUNCT
ejpam-6110	84	14	which	which	PRON
ejpam-6110	84	15	are	be	AUX
ejpam-6110	84	16	specifically	specifically	ADV
ejpam-6110	84	17	designed	design	VERB
ejpam-6110	84	18	for	for	ADP
ejpam-6110	84	19	uncertainty	uncertainty	NOUN
ejpam-6110	84	20	modeling	model	VERB
ejpam-6110	84	21	in	in	ADP
ejpam-6110	84	22	decision	decision	NOUN
ejpam-6110	84	23	support	support	NOUN
ejpam-6110	84	24	systems	system	NOUN
ejpam-6110	84	25	.	.	PUNCT
ejpam-6110	85	1	•	•	NUM
ejpam-6110	85	2	illustrates	illustrate	VERB
ejpam-6110	85	3	the	the	DET
ejpam-6110	85	4	applicability	applicability	NOUN
ejpam-6110	85	5	of	of	ADP
ejpam-6110	85	6	eifs	eifs	PROPN
ejpam-6110	85	7	by	by	ADP
ejpam-6110	85	8	using	use	VERB
ejpam-6110	85	9	a	a	DET
ejpam-6110	85	10	real	real	ADJ
ejpam-6110	85	11	-	-	PUNCT
ejpam-6110	85	12	world	world	NOUN
ejpam-6110	85	13	example	example	NOUN
ejpam-6110	85	14	of	of	ADP
ejpam-6110	85	15	raw	raw	ADJ
ejpam-6110	85	16	material	material	NOUN
ejpam-6110	85	17	procurement	procurement	NOUN
ejpam-6110	85	18	and	and	CCONJ
ejpam-6110	85	19	demonstrates	demonstrate	VERB
ejpam-6110	85	20	the	the	DET
ejpam-6110	85	21	way	way	NOUN
ejpam-6110	85	22	eifs	eifs	PROPN
ejpam-6110	85	23	enhances	enhance	VERB
ejpam-6110	85	24	the	the	DET
ejpam-6110	85	25	quality	quality	NOUN
ejpam-6110	85	26	of	of	ADP
ejpam-6110	85	27	decisions	decision	NOUN
ejpam-6110	85	28	under	under	ADP
ejpam-6110	85	29	uncertainty	uncertainty	NOUN
ejpam-6110	85	30	.	.	PUNCT
ejpam-6110	86	1	•	•	NUM
ejpam-6110	86	2	emphasizes	emphasize	VERB
ejpam-6110	86	3	the	the	DET
ejpam-6110	86	4	way	way	NOUN
ejpam-6110	86	5	eifs	eifs	PROPN
ejpam-6110	86	6	-	-	PUNCT
ejpam-6110	86	7	based	base	VERB
ejpam-6110	86	8	aggregation	aggregation	NOUN
ejpam-6110	86	9	supports	support	VERB
ejpam-6110	86	10	supplier	supplier	NOUN
ejpam-6110	86	11	assessment	assessment	NOUN
ejpam-6110	86	12	by	by	ADP
ejpam-6110	86	13	combining	combine	VERB
ejpam-6110	86	14	factors	factor	NOUN
ejpam-6110	86	15	such	such	ADJ
ejpam-6110	86	16	as	as	ADP
ejpam-6110	86	17	cost	cost	NOUN
ejpam-6110	86	18	,	,	PUNCT
ejpam-6110	86	19	quality	quality	NOUN
ejpam-6110	86	20	,	,	PUNCT
ejpam-6110	86	21	and	and	CCONJ
ejpam-6110	86	22	delivery	delivery	NOUN
ejpam-6110	86	23	time	time	NOUN
ejpam-6110	86	24	,	,	PUNCT
ejpam-6110	86	25	to	to	PART
ejpam-6110	86	26	enable	enable	VERB
ejpam-6110	86	27	more	more	ADV
ejpam-6110	86	28	practical	practical	ADJ
ejpam-6110	86	29	and	and	CCONJ
ejpam-6110	86	30	risk	risk	NOUN
ejpam-6110	86	31	-	-	PUNCT
ejpam-6110	86	32	averse	averse	ADJ
ejpam-6110	86	33	purchasing	purchasing	NOUN
ejpam-6110	86	34	decisions	decision	NOUN
ejpam-6110	86	35	.	.	PUNCT
ejpam-6110	87	1	this	this	DET
ejpam-6110	87	2	paper	paper	NOUN
ejpam-6110	87	3	is	be	AUX
ejpam-6110	87	4	organized	organize	VERB
ejpam-6110	87	5	as	as	ADP
ejpam-6110	87	6	:	:	PUNCT
ejpam-6110	87	7	the	the	DET
ejpam-6110	87	8	preliminaries	preliminary	NOUN
ejpam-6110	87	9	of	of	ADP
ejpam-6110	87	10	fss	fss	NOUN
ejpam-6110	87	11	and	and	CCONJ
ejpam-6110	87	12	its	its	PRON
ejpam-6110	87	13	operations	operation	NOUN
ejpam-6110	87	14	are	be	AUX
ejpam-6110	87	15	covered	cover	VERB
ejpam-6110	87	16	in	in	ADP
ejpam-6110	87	17	section	section	NOUN
ejpam-6110	87	18	2	2	NUM
ejpam-6110	87	19	,	,	PUNCT
ejpam-6110	87	20	the	the	DET
ejpam-6110	87	21	basic	basic	ADJ
ejpam-6110	87	22	definitions	definition	NOUN
ejpam-6110	87	23	and	and	CCONJ
ejpam-6110	87	24	characteristics	characteristic	NOUN
ejpam-6110	87	25	of	of	ADP
ejpam-6110	87	26	eifss	eifss	ADJ
ejpam-6110	87	27	and	and	CCONJ
ejpam-6110	87	28	some	some	DET
ejpam-6110	87	29	examples	example	NOUN
ejpam-6110	87	30	are	be	AUX
ejpam-6110	87	31	covered	cover	VERB
ejpam-6110	87	32	in	in	ADP
ejpam-6110	87	33	section	section	NOUN
ejpam-6110	87	34	3	3	NUM
ejpam-6110	87	35	,	,	PUNCT
ejpam-6110	87	36	the	the	DET
ejpam-6110	87	37	procedure	procedure	NOUN
ejpam-6110	87	38	of	of	ADP
ejpam-6110	87	39	decision	decision	NOUN
ejpam-6110	87	40	-	-	PUNCT
ejpam-6110	87	41	making	make	VERB
ejpam-6110	87	42	methodology	methodology	NOUN
ejpam-6110	87	43	under	under	ADP
ejpam-6110	87	44	eifss	eifss	ADV
ejpam-6110	87	45	are	be	AUX
ejpam-6110	87	46	shown	show	VERB
ejpam-6110	87	47	in	in	ADP
ejpam-6110	87	48	section	section	NOUN
ejpam-6110	87	49	4	4	NUM
ejpam-6110	87	50	,	,	PUNCT
ejpam-6110	87	51	application	application	NOUN
ejpam-6110	87	52	of	of	ADP
ejpam-6110	87	53	decision	decision	NOUN
ejpam-6110	87	54	making	make	VERB
ejpam-6110	87	55	problems	problem	NOUN
ejpam-6110	87	56	are	be	AUX
ejpam-6110	87	57	demonstrated	demonstrate	VERB
ejpam-6110	87	58	in	in	ADP
ejpam-6110	87	59	section	section	NOUN
ejpam-6110	87	60	4.1	4.1	NUM
ejpam-6110	87	61	and	and	CCONJ
ejpam-6110	87	62	the	the	DET
ejpam-6110	87	63	conclusion	conclusion	NOUN
ejpam-6110	87	64	is	be	AUX
ejpam-6110	87	65	in	in	ADP
ejpam-6110	87	66	section	section	NOUN
ejpam-6110	87	67	5	5	NUM
ejpam-6110	87	68	2	2	NUM
ejpam-6110	87	69	.	.	PUNCT
ejpam-6110	87	70	preliminaries	preliminary	NOUN
ejpam-6110	87	71	definition	definition	NOUN
ejpam-6110	87	72	1	1	NUM
ejpam-6110	87	73	.	.	PUNCT
ejpam-6110	88	1	a	a	DET
ejpam-6110	88	2	fs	fs	ADP
ejpam-6110	88	3	a∗	a∗	NOUN
ejpam-6110	88	4	in	in	ADP
ejpam-6110	88	5	a	a	DET
ejpam-6110	88	6	universe	universe	NOUN
ejpam-6110	88	7	of	of	ADP
ejpam-6110	88	8	discourse	discourse	NOUN
ejpam-6110	88	9	x	x	SYM
ejpam-6110	88	10	is	be	AUX
ejpam-6110	88	11	characterized	characterize	VERB
ejpam-6110	88	12	by	by	ADP
ejpam-6110	88	13	a	a	DET
ejpam-6110	88	14	mf	mf	NOUN
ejpam-6110	88	15	µa∗	µa∗	NOUN
ejpam-6110	88	16	which	which	PRON
ejpam-6110	88	17	takes	take	VERB
ejpam-6110	88	18	the	the	DET
ejpam-6110	88	19	value	value	NOUN
ejpam-6110	88	20	in	in	ADP
ejpam-6110	88	21	the	the	DET
ejpam-6110	88	22	unit	unit	NOUN
ejpam-6110	88	23	interval	interval	NOUN
ejpam-6110	88	24	[	[	X
ejpam-6110	88	25	0	0	NUM
ejpam-6110	88	26	,	,	PUNCT
ejpam-6110	88	27	1	1	NUM
ejpam-6110	88	28	]	]	PUNCT
ejpam-6110	88	29	µa∗(ς̃∗	µa∗(ς̃∗	PROPN
ejpam-6110	88	30	)	)	PUNCT
ejpam-6110	88	31	=	=	SYM
ejpam-6110	89	1	x	x	PUNCT
ejpam-6110	89	2	→	→	PUNCT
ejpam-6110	89	3	[	[	X
ejpam-6110	89	4	0	0	NUM
ejpam-6110	89	5	,	,	PUNCT
ejpam-6110	89	6	1	1	NUM
ejpam-6110	89	7	]	]	PUNCT
ejpam-6110	89	8	the	the	DET
ejpam-6110	89	9	value	value	NOUN
ejpam-6110	89	10	of	of	ADP
ejpam-6110	89	11	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	89	12	)	)	PUNCT
ejpam-6110	89	13	represents	represent	VERB
ejpam-6110	89	14	the	the	DET
ejpam-6110	89	15	grade	grade	NOUN
ejpam-6110	89	16	of	of	ADP
ejpam-6110	89	17	m	m	NOUN
ejpam-6110	89	18	of	of	ADP
ejpam-6110	89	19	x	x	PROPN
ejpam-6110	89	20	in	in	ADP
ejpam-6110	89	21	a∗	a∗	NOUN
ejpam-6110	89	22	and	and	CCONJ
ejpam-6110	89	23	is	be	AUX
ejpam-6110	89	24	a	a	DET
ejpam-6110	89	25	point	point	NOUN
ejpam-6110	89	26	in	in	ADP
ejpam-6110	89	27	[	[	X
ejpam-6110	89	28	0	0	NUM
ejpam-6110	89	29	,	,	PUNCT
ejpam-6110	89	30	1	1	NUM
ejpam-6110	89	31	]	]	PUNCT
ejpam-6110	89	32	.	.	PUNCT
ejpam-6110	90	1	m.	m.	PROPN
ejpam-6110	90	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	90	3	et	et	PROPN
ejpam-6110	90	4	al	al	PROPN
ejpam-6110	90	5	.	.	PUNCT
ejpam-6110	90	6	/	/	SYM
ejpam-6110	90	7	eur	eur	PROPN
ejpam-6110	90	8	.	.	PUNCT
ejpam-6110	91	1	j.	j.	PROPN
ejpam-6110	91	2	pure	pure	PROPN
ejpam-6110	91	3	appl	appl	PROPN
ejpam-6110	91	4	.	.	PROPN
ejpam-6110	91	5	math	math	PROPN
ejpam-6110	91	6	,	,	PUNCT
ejpam-6110	91	7	18	18	NUM
ejpam-6110	91	8	(	(	PUNCT
ejpam-6110	91	9	3	3	NUM
ejpam-6110	91	10	)	)	PUNCT
ejpam-6110	91	11	(	(	PUNCT
ejpam-6110	91	12	2025	2025	NUM
ejpam-6110	91	13	)	)	PUNCT
ejpam-6110	91	14	,	,	PUNCT
ejpam-6110	91	15	6110	6110	NUM
ejpam-6110	91	16	5	5	NUM
ejpam-6110	91	17	of	of	ADP
ejpam-6110	91	18	20	20	NUM
ejpam-6110	91	19	definition	definition	NOUN
ejpam-6110	91	20	2	2	NUM
ejpam-6110	91	21	.	.	PUNCT
ejpam-6110	92	1	a∗	a∗	PROPN
ejpam-6110	92	2	is	be	AUX
ejpam-6110	92	3	a	a	DET
ejpam-6110	92	4	fs	f	NOUN
ejpam-6110	92	5	on	on	ADP
ejpam-6110	92	6	x	x	NOUN
ejpam-6110	92	7	,	,	PUNCT
ejpam-6110	92	8	then	then	ADV
ejpam-6110	92	9	its	its	PRON
ejpam-6110	92	10	complement	complement	NOUN
ejpam-6110	92	11	(	(	PUNCT
ejpam-6110	92	12	a∗	a∗	PROPN
ejpam-6110	92	13	′	′	NUM
ejpam-6110	92	14	)	)	PUNCT
ejpam-6110	92	15	is	be	AUX
ejpam-6110	92	16	µ	µ	PRON
ejpam-6110	92	17	′	′	NUM
ejpam-6110	92	18	a∗(ς̃∗	a∗(ς̃∗	NOUN
ejpam-6110	92	19	)	)	PUNCT
ejpam-6110	92	20	=	=	SYM
ejpam-6110	93	1	1−	1−	NUM
ejpam-6110	93	2	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	93	3	)	)	PUNCT
ejpam-6110	93	4	.	.	PUNCT
ejpam-6110	94	1	definition	definition	NOUN
ejpam-6110	94	2	3	3	NUM
ejpam-6110	94	3	.	.	PUNCT
ejpam-6110	95	1	the	the	DET
ejpam-6110	95	2	union	union	NOUN
ejpam-6110	95	3	of	of	ADP
ejpam-6110	95	4	two	two	NUM
ejpam-6110	95	5	fss	fss	ADV
ejpam-6110	95	6	a∗	a∗	NOUN
ejpam-6110	95	7	and	and	CCONJ
ejpam-6110	95	8	b∗	b∗	ADJ
ejpam-6110	95	9	is	be	AUX
ejpam-6110	95	10	with	with	ADP
ejpam-6110	95	11	respective	respective	ADJ
ejpam-6110	95	12	mfs	mfs	NOUN
ejpam-6110	95	13	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	95	14	)	)	PUNCT
ejpam-6110	95	15	and	and	CCONJ
ejpam-6110	95	16	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	95	17	)	)	PUNCT
ejpam-6110	95	18	is	be	AUX
ejpam-6110	95	19	a	a	DET
ejpam-6110	95	20	fs	fs	ADP
ejpam-6110	95	21	a∗	a∗	PROPN
ejpam-6110	95	22	∪	∪	PROPN
ejpam-6110	95	23	b∗	b∗	ADJ
ejpam-6110	95	24	,	,	PUNCT
ejpam-6110	95	25	whose	whose	DET
ejpam-6110	95	26	mf	mf	NOUN
ejpam-6110	95	27	is	be	AUX
ejpam-6110	95	28	related	relate	VERB
ejpam-6110	95	29	to	to	ADP
ejpam-6110	95	30	those	those	PRON
ejpam-6110	95	31	of	of	ADP
ejpam-6110	95	32	a∗	a∗	NOUN
ejpam-6110	95	33	and	and	CCONJ
ejpam-6110	95	34	b∗	b∗	ADJ
ejpam-6110	95	35	by	by	ADP
ejpam-6110	95	36	µa∗∪b∗(ς̃∗	µa∗∪b∗(ς̃∗	NOUN
ejpam-6110	95	37	)	)	PUNCT
ejpam-6110	96	1	=	=	SYM
ejpam-6110	96	2	∨{µa∗(ς̃∗	∨{µa∗(ς̃∗	PROPN
ejpam-6110	96	3	)	)	PUNCT
ejpam-6110	97	1	,	,	PUNCT
ejpam-6110	97	2	µb∗(ς̃∗	µb∗(ς̃∗	PROPN
ejpam-6110	97	3	)	)	PUNCT
ejpam-6110	97	4	}	}	PUNCT
ejpam-6110	97	5	,	,	PUNCT
ejpam-6110	97	6	∀ς̃∗	∀ς̃∗	X
ejpam-6110	97	7	∈	∈	PROPN
ejpam-6110	97	8	x.	x.	NOUN
ejpam-6110	97	9	definition	definition	NOUN
ejpam-6110	97	10	4	4	NUM
ejpam-6110	97	11	.	.	PUNCT
ejpam-6110	98	1	the	the	DET
ejpam-6110	98	2	intersection	intersection	NOUN
ejpam-6110	98	3	of	of	ADP
ejpam-6110	98	4	two	two	NUM
ejpam-6110	98	5	fss	fss	ADJ
ejpam-6110	98	6	a∗	a∗	NOUN
ejpam-6110	98	7	and	and	CCONJ
ejpam-6110	98	8	b∗	b∗	ADJ
ejpam-6110	98	9	is	be	AUX
ejpam-6110	98	10	with	with	ADP
ejpam-6110	98	11	respective	respective	ADJ
ejpam-6110	98	12	memberships	membership	NOUN
ejpam-6110	98	13	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	98	14	)	)	PUNCT
ejpam-6110	98	15	and	and	CCONJ
ejpam-6110	98	16	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	98	17	)	)	PUNCT
ejpam-6110	98	18	is	be	AUX
ejpam-6110	98	19	a	a	DET
ejpam-6110	98	20	fs	fs	ADP
ejpam-6110	98	21	a∗	a∗	ADJ
ejpam-6110	98	22	∩	∩	NOUN
ejpam-6110	98	23	b∗	b∗	ADJ
ejpam-6110	98	24	,	,	PUNCT
ejpam-6110	98	25	whose	whose	DET
ejpam-6110	98	26	mf	mf	NOUN
ejpam-6110	98	27	is	be	AUX
ejpam-6110	98	28	related	relate	VERB
ejpam-6110	98	29	to	to	ADP
ejpam-6110	98	30	those	those	PRON
ejpam-6110	98	31	of	of	ADP
ejpam-6110	98	32	a∗	a∗	NOUN
ejpam-6110	98	33	and	and	CCONJ
ejpam-6110	98	34	b∗	b∗	ADJ
ejpam-6110	98	35	by	by	ADP
ejpam-6110	98	36	µa∗∩b∗(ς̃∗	µa∗∩b∗(ς̃∗	NOUN
ejpam-6110	98	37	)	)	PUNCT
ejpam-6110	98	38	=	=	SYM
ejpam-6110	98	39	∧{µa∗(ς̃∗	∧{µa∗(ς̃∗	PROPN
ejpam-6110	98	40	)	)	PUNCT
ejpam-6110	98	41	,	,	PUNCT
ejpam-6110	98	42	µb∗(ς̃∗	µb∗(ς̃∗	PROPN
ejpam-6110	98	43	)	)	PUNCT
ejpam-6110	98	44	}	}	PUNCT
ejpam-6110	98	45	,	,	PUNCT
ejpam-6110	99	1	∀ς̃∗	∀ς̃∗	X
ejpam-6110	99	2	∈	∈	PROPN
ejpam-6110	99	3	x.	x.	NOUN
ejpam-6110	99	4	definition	definition	NOUN
ejpam-6110	99	5	5	5	NUM
ejpam-6110	99	6	.	.	PUNCT
ejpam-6110	100	1	the	the	DET
ejpam-6110	100	2	usual	usual	ADJ
ejpam-6110	100	3	manner	manner	NOUN
ejpam-6110	100	4	of	of	ADP
ejpam-6110	100	5	defining	define	VERB
ejpam-6110	100	6	fuzzy	fuzzy	ADJ
ejpam-6110	100	7	simple	simple	ADJ
ejpam-6110	100	8	differences	difference	NOUN
ejpam-6110	100	9	between	between	ADP
ejpam-6110	100	10	two	two	NUM
ejpam-6110	100	11	fuzzy	fuzzy	ADJ
ejpam-6110	100	12	sets	set	NOUN
ejpam-6110	100	13	a∗	a∗	ADJ
ejpam-6110	100	14	and	and	CCONJ
ejpam-6110	100	15	b∗	b∗	ADJ
ejpam-6110	100	16	can	can	AUX
ejpam-6110	100	17	be	be	AUX
ejpam-6110	100	18	expressed	express	VERB
ejpam-6110	100	19	as	as	ADP
ejpam-6110	100	20	a∗	a∗	ADJ
ejpam-6110	100	21	−	−	NOUN
ejpam-6110	100	22	b∗	b∗	ADJ
ejpam-6110	100	23	=	=	NOUN
ejpam-6110	100	24	a∗	a∗	NOUN
ejpam-6110	100	25	∩	∩	NOUN
ejpam-6110	100	26	b∗c	b∗c	PROPN
ejpam-6110	100	27	.	.	PUNCT
ejpam-6110	101	1	definition	definition	NOUN
ejpam-6110	101	2	6	6	NUM
ejpam-6110	101	3	.	.	PUNCT
ejpam-6110	102	1	for	for	ADP
ejpam-6110	102	2	any	any	DET
ejpam-6110	102	3	two	two	NUM
ejpam-6110	102	4	fss	fss	ADV
ejpam-6110	102	5	a∗	a∗	ADJ
ejpam-6110	102	6	and	and	CCONJ
ejpam-6110	102	7	b∗	b∗	ADJ
ejpam-6110	102	8	,	,	PUNCT
ejpam-6110	102	9	the	the	DET
ejpam-6110	102	10	bounded	bounded	ADJ
ejpam-6110	102	11	difference	difference	NOUN
ejpam-6110	102	12	is	be	AUX
ejpam-6110	102	13	defined	define	VERB
ejpam-6110	102	14	as	as	ADP
ejpam-6110	102	15	:	:	PUNCT
ejpam-6110	102	16	µa∗ob∗(ς̃∗	µa∗ob∗(ς̃∗	X
ejpam-6110	102	17	)	)	PUNCT
ejpam-6110	103	1	=	=	PUNCT
ejpam-6110	104	1	∨	∨	NOUN
ejpam-6110	104	2	[	[	X
ejpam-6110	104	3	o	o	NOUN
ejpam-6110	104	4	,	,	PUNCT
ejpam-6110	104	5	µa∗(ς̃∗	µa∗(ς̃∗	PROPN
ejpam-6110	104	6	)	)	PUNCT
ejpam-6110	104	7	,	,	PUNCT
ejpam-6110	104	8	µb∗(ς̃∗	µb∗(ς̃∗	PROPN
ejpam-6110	104	9	)	)	PUNCT
ejpam-6110	104	10	]	]	PUNCT
ejpam-6110	104	11	where	where	SCONJ
ejpam-6110	104	12	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	104	13	)	)	PUNCT
ejpam-6110	104	14	and	and	CCONJ
ejpam-6110	104	15	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	104	16	)	)	PUNCT
ejpam-6110	104	17	denotes	denote	VERB
ejpam-6110	104	18	the	the	DET
ejpam-6110	104	19	mfto	mfto	NOUN
ejpam-6110	104	20	which	which	PRON
ejpam-6110	104	21	x	x	PRON
ejpam-6110	104	22	is	be	AUX
ejpam-6110	104	23	a	a	DET
ejpam-6110	104	24	member	member	NOUN
ejpam-6110	104	25	of	of	ADP
ejpam-6110	104	26	a∗	a∗	PROPN
ejpam-6110	104	27	and	and	CCONJ
ejpam-6110	104	28	b∗.	b∗.	NOUN
ejpam-6110	104	29	definition	definition	NOUN
ejpam-6110	104	30	7	7	NUM
ejpam-6110	104	31	.	.	PUNCT
ejpam-6110	105	1	the	the	DET
ejpam-6110	105	2	disjoint	disjoint	ADJ
ejpam-6110	105	3	sum	sum	NOUN
ejpam-6110	105	4	of	of	ADP
ejpam-6110	105	5	any	any	DET
ejpam-6110	105	6	two	two	NUM
ejpam-6110	105	7	fss	fss	ADV
ejpam-6110	105	8	a∗	a∗	NOUN
ejpam-6110	105	9	and	and	CCONJ
ejpam-6110	105	10	b∗	b∗	ADJ
ejpam-6110	105	11	on	on	ADP
ejpam-6110	105	12	x	x	SYM
ejpam-6110	105	13	µa∗⊗b∗(ς̃∗	µa∗⊗b∗(ς̃∗	PROPN
ejpam-6110	105	14	)	)	PUNCT
ejpam-6110	105	15	=	=	SYM
ejpam-6110	105	16	|⊗	|⊗	NOUN
ejpam-6110	105	17	,	,	PUNCT
ejpam-6110	105	18	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	105	19	)	)	PUNCT
ejpam-6110	105	20	,	,	PUNCT
ejpam-6110	105	21	µb∗(ς̃∗)|	µb∗(ς̃∗)|	X
ejpam-6110	105	22	where	where	SCONJ
ejpam-6110	105	23	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	105	24	)	)	PUNCT
ejpam-6110	105	25	and	and	CCONJ
ejpam-6110	105	26	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	105	27	)	)	PUNCT
ejpam-6110	105	28	denotes	denote	VERB
ejpam-6110	105	29	the	the	DET
ejpam-6110	105	30	mf	mf	NOUN
ejpam-6110	105	31	to	to	PART
ejpam-6110	105	32	which	which	PRON
ejpam-6110	105	33	x	x	PRON
ejpam-6110	105	34	is	be	AUX
ejpam-6110	105	35	a	a	DET
ejpam-6110	105	36	member	member	NOUN
ejpam-6110	105	37	of	of	ADP
ejpam-6110	105	38	a∗	a∗	PROPN
ejpam-6110	105	39	and	and	CCONJ
ejpam-6110	105	40	b∗.	b∗.	NOUN
ejpam-6110	105	41	definition	definition	NOUN
ejpam-6110	105	42	8	8	NUM
ejpam-6110	105	43	.	.	PUNCT
ejpam-6110	106	1	let	let	VERB
ejpam-6110	106	2	a∗	a∗	NOUN
ejpam-6110	106	3	and	and	CCONJ
ejpam-6110	106	4	b∗	b∗	ADJ
ejpam-6110	106	5	be	be	AUX
ejpam-6110	106	6	any	any	DET
ejpam-6110	106	7	two	two	NUM
ejpam-6110	106	8	fuzzy	fuzzy	ADJ
ejpam-6110	106	9	sets	set	NOUN
ejpam-6110	106	10	of	of	ADP
ejpam-6110	106	11	x	x	PRON
ejpam-6110	106	12	then	then	ADV
ejpam-6110	106	13	the	the	DET
ejpam-6110	106	14	disjunctive	disjunctive	ADJ
ejpam-6110	106	15	sum	sum	NOUN
ejpam-6110	106	16	is	be	AUX
ejpam-6110	106	17	defined	define	VERB
ejpam-6110	106	18	as	as	ADP
ejpam-6110	106	19	:	:	PUNCT
ejpam-6110	106	20	µa∗∆b∗(ς̃∗	µa∗∆b∗(ς̃∗	X
ejpam-6110	106	21	)	)	PUNCT
ejpam-6110	107	1	=	=	PRON
ejpam-6110	107	2	(	(	PUNCT
ejpam-6110	107	3	a∗	a∗	ADJ
ejpam-6110	107	4	∩	∩	ADJ
ejpam-6110	107	5	b∗	b∗	ADJ
ejpam-6110	107	6	′	′	NUM
ejpam-6110	107	7	)	)	PUNCT
ejpam-6110	107	8	∪	∪	NOUN
ejpam-6110	107	9	(	(	PUNCT
ejpam-6110	107	10	a∗	a∗	ADJ
ejpam-6110	107	11	′	′	NUM
ejpam-6110	107	12	∩	∩	NOUN
ejpam-6110	107	13	b∗	b∗	ADJ
ejpam-6110	107	14	)	)	PUNCT
ejpam-6110	107	15	=	=	SYM
ejpam-6110	107	16	(	(	PUNCT
ejpam-6110	107	17	a∗	a∗	PROPN
ejpam-6110	107	18	∗	∗	NOUN
ejpam-6110	107	19	b∗	b∗	ADJ
ejpam-6110	107	20	′	′	NUM
ejpam-6110	107	21	)	)	PUNCT
ejpam-6110	108	1	⊕	⊕	PROPN
ejpam-6110	108	2	(	(	PUNCT
ejpam-6110	108	3	a∗	a∗	PROPN
ejpam-6110	108	4	′	′	NUM
ejpam-6110	108	5	∗	∗	NOUN
ejpam-6110	108	6	b∗	b∗	ADJ
ejpam-6110	108	7	)	)	PUNCT
ejpam-6110	108	8	.	.	PUNCT
ejpam-6110	109	1	definition	definition	NOUN
ejpam-6110	109	2	9	9	NUM
ejpam-6110	109	3	.	.	PUNCT
ejpam-6110	110	1	let	let	VERB
ejpam-6110	110	2	a∗	a∗	NOUN
ejpam-6110	110	3	and	and	CCONJ
ejpam-6110	110	4	b∗	b∗	ADJ
ejpam-6110	110	5	be	be	AUX
ejpam-6110	110	6	any	any	DET
ejpam-6110	110	7	two	two	NUM
ejpam-6110	110	8	fss	fss	NOUN
ejpam-6110	110	9	of	of	ADP
ejpam-6110	110	10	x	x	PRON
ejpam-6110	110	11	then	then	ADV
ejpam-6110	110	12	the	the	DET
ejpam-6110	110	13	equivalence	equivalence	NOUN
ejpam-6110	110	14	formula	formula	NOUN
ejpam-6110	110	15	is	be	AUX
ejpam-6110	110	16	(	(	PUNCT
ejpam-6110	110	17	a∗	a∗	PROPN
ejpam-6110	110	18	′	′	NOUN
ejpam-6110	110	19	∪	∪	ADJ
ejpam-6110	110	20	b∗	b∗	ADJ
ejpam-6110	110	21	)	)	PUNCT
ejpam-6110	110	22	∩	∩	NOUN
ejpam-6110	110	23	(	(	PUNCT
ejpam-6110	110	24	a∗	a∗	PROPN
ejpam-6110	110	25	∪	∪	NOUN
ejpam-6110	110	26	b∗	b∗	ADJ
ejpam-6110	110	27	′	′	NUM
ejpam-6110	110	28	)	)	PUNCT
ejpam-6110	111	1	=	=	SYM
ejpam-6110	111	2	(	(	PUNCT
ejpam-6110	111	3	a∗	a∗	ADJ
ejpam-6110	111	4	′	′	NUM
ejpam-6110	111	5	∩	∩	NOUN
ejpam-6110	111	6	b∗	b∗	ADJ
ejpam-6110	111	7	′	′	NUM
ejpam-6110	111	8	)	)	PUNCT
ejpam-6110	111	9	∪	∪	NOUN
ejpam-6110	111	10	(	(	PUNCT
ejpam-6110	111	11	a∗	a∗	ADJ
ejpam-6110	111	12	∩	∩	NOUN
ejpam-6110	111	13	b∗	b∗	ADJ
ejpam-6110	111	14	)	)	PUNCT
ejpam-6110	111	15	.	.	PUNCT
ejpam-6110	112	1	definition	definition	NOUN
ejpam-6110	112	2	10	10	NUM
ejpam-6110	112	3	.	.	PUNCT
ejpam-6110	113	1	symmetrical	symmetrical	ADJ
ejpam-6110	113	2	difference	difference	NOUN
ejpam-6110	113	3	formula	formula	NOUN
ejpam-6110	113	4	for	for	ADP
ejpam-6110	113	5	two	two	NUM
ejpam-6110	113	6	fss	fss	ADJ
ejpam-6110	113	7	a∗	a∗	NOUN
ejpam-6110	113	8	and	and	CCONJ
ejpam-6110	113	9	b∗	b∗	ADJ
ejpam-6110	113	10	is	be	AUX
ejpam-6110	113	11	given	give	VERB
ejpam-6110	113	12	by	by	ADP
ejpam-6110	113	13	(	(	PUNCT
ejpam-6110	113	14	a∗	a∗	ADJ
ejpam-6110	113	15	′	′	NUM
ejpam-6110	113	16	∩	∩	ADJ
ejpam-6110	113	17	b∗	b∗	ADJ
ejpam-6110	113	18	)	)	PUNCT
ejpam-6110	113	19	∪	∪	NOUN
ejpam-6110	113	20	(	(	PUNCT
ejpam-6110	113	21	a∗	a∗	ADJ
ejpam-6110	113	22	∩	∩	NOUN
ejpam-6110	113	23	b∗	b∗	ADJ
ejpam-6110	113	24	′	′	NUM
ejpam-6110	113	25	)	)	PUNCT
ejpam-6110	114	1	=	=	SYM
ejpam-6110	114	2	(	(	PUNCT
ejpam-6110	114	3	a∗	a∗	PROPN
ejpam-6110	114	4	′	′	NOUN
ejpam-6110	114	5	∪	∪	ADJ
ejpam-6110	114	6	b∗	b∗	ADJ
ejpam-6110	114	7	′	′	NUM
ejpam-6110	114	8	)	)	PUNCT
ejpam-6110	114	9	∩	∩	NOUN
ejpam-6110	114	10	(	(	PUNCT
ejpam-6110	114	11	a∗	a∗	PROPN
ejpam-6110	114	12	∪	∪	NOUN
ejpam-6110	114	13	b∗	b∗	ADJ
ejpam-6110	114	14	)	)	PUNCT
ejpam-6110	114	15	.	.	PUNCT
ejpam-6110	115	1	m.	m.	NOUN
ejpam-6110	115	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	115	3	et	et	PROPN
ejpam-6110	115	4	al	al	PROPN
ejpam-6110	115	5	.	.	PUNCT
ejpam-6110	115	6	/	/	SYM
ejpam-6110	115	7	eur	eur	PROPN
ejpam-6110	115	8	.	.	PUNCT
ejpam-6110	116	1	j.	j.	PROPN
ejpam-6110	116	2	pure	pure	PROPN
ejpam-6110	116	3	appl	appl	PROPN
ejpam-6110	116	4	.	.	PROPN
ejpam-6110	116	5	math	math	PROPN
ejpam-6110	116	6	,	,	PUNCT
ejpam-6110	116	7	18	18	NUM
ejpam-6110	116	8	(	(	PUNCT
ejpam-6110	116	9	3	3	NUM
ejpam-6110	116	10	)	)	PUNCT
ejpam-6110	116	11	(	(	PUNCT
ejpam-6110	116	12	2025	2025	NUM
ejpam-6110	116	13	)	)	PUNCT
ejpam-6110	116	14	,	,	PUNCT
ejpam-6110	116	15	6110	6110	NUM
ejpam-6110	116	16	6	6	NUM
ejpam-6110	116	17	of	of	ADP
ejpam-6110	116	18	20	20	NUM
ejpam-6110	116	19	3	3	NUM
ejpam-6110	116	20	.	.	PUNCT
ejpam-6110	117	1	exponential	exponential	ADJ
ejpam-6110	117	2	intuitionstic	intuitionstic	ADJ
ejpam-6110	117	3	fuzzy	fuzzy	ADJ
ejpam-6110	117	4	sets	set	NOUN
ejpam-6110	117	5	definition	definition	NOUN
ejpam-6110	117	6	11	11	NUM
ejpam-6110	117	7	.	.	PUNCT
ejpam-6110	118	1	if	if	SCONJ
ejpam-6110	118	2	x	x	PRON
ejpam-6110	118	3	is	be	AUX
ejpam-6110	118	4	a	a	DET
ejpam-6110	118	5	universe	universe	ADJ
ejpam-6110	118	6	discourse	discourse	NOUN
ejpam-6110	118	7	and	and	CCONJ
ejpam-6110	118	8	ς̃∗	ς̃∗	PROPN
ejpam-6110	118	9	be	be	AUX
ejpam-6110	118	10	any	any	DET
ejpam-6110	118	11	particular	particular	ADJ
ejpam-6110	118	12	element	element	NOUN
ejpam-6110	118	13	of	of	ADP
ejpam-6110	118	14	x.	x.	NOUN
ejpam-6110	118	15	the	the	DET
ejpam-6110	118	16	intuitionistic	intuitionistic	PROPN
ejpam-6110	118	17	fs	fs	ADP
ejpam-6110	118	18	a∗	a∗	PROPN
ejpam-6110	118	19	defined	define	VERB
ejpam-6110	118	20	on	on	ADP
ejpam-6110	118	21	x	x	SYM
ejpam-6110	118	22	is	be	AUX
ejpam-6110	118	23	a	a	DET
ejpam-6110	118	24	collection	collection	NOUN
ejpam-6110	118	25	of	of	ADP
ejpam-6110	118	26	ordered	order	VERB
ejpam-6110	118	27	pairs	pair	NOUN
ejpam-6110	118	28	,	,	PUNCT
ejpam-6110	118	29	a∗	a∗	NOUN
ejpam-6110	118	30	=	=	SYM
ejpam-6110	118	31	{	{	PUNCT
ejpam-6110	118	32	(	(	PUNCT
ejpam-6110	118	33	ς̃∗	ς̃∗	PROPN
ejpam-6110	118	34	,	,	PUNCT
ejpam-6110	118	35	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	118	36	)	)	PUNCT
ejpam-6110	118	37	,	,	PUNCT
ejpam-6110	118	38	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	118	39	)	)	PUNCT
ejpam-6110	118	40	)	)	PUNCT
ejpam-6110	118	41	|x	|x	NOUN
ejpam-6110	118	42	∈	∈	PROPN
ejpam-6110	118	43	x	x	X
ejpam-6110	118	44	}	}	PUNCT
ejpam-6110	118	45	,	,	PUNCT
ejpam-6110	118	46	where	where	SCONJ
ejpam-6110	118	47	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	118	48	)	)	PUNCT
ejpam-6110	118	49	:	:	PUNCT
ejpam-6110	119	1	x	x	X
ejpam-6110	119	2	→	→	PUNCT
ejpam-6110	119	3	[	[	X
ejpam-6110	119	4	0	0	NUM
ejpam-6110	119	5	,	,	PUNCT
ejpam-6110	119	6	1	1	NUM
ejpam-6110	119	7	]	]	PUNCT
ejpam-6110	119	8	and	and	CCONJ
ejpam-6110	119	9	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	119	10	)	)	PUNCT
ejpam-6110	119	11	:	:	PUNCT
ejpam-6110	120	1	x	x	X
ejpam-6110	120	2	→	→	PUNCT
ejpam-6110	120	3	[	[	X
ejpam-6110	120	4	0	0	NUM
ejpam-6110	120	5	,	,	PUNCT
ejpam-6110	120	6	1	1	NUM
ejpam-6110	120	7	]	]	PUNCT
ejpam-6110	120	8	is	be	AUX
ejpam-6110	120	9	called	call	VERB
ejpam-6110	120	10	the	the	DET
ejpam-6110	120	11	mf	mf	NOUN
ejpam-6110	120	12	and	and	CCONJ
ejpam-6110	120	13	nmf	nmf	PROPN
ejpam-6110	120	14	.	.	PUNCT
ejpam-6110	121	1	the	the	DET
ejpam-6110	121	2	degree	degree	NOUN
ejpam-6110	121	3	of	of	ADP
ejpam-6110	121	4	m	m	NOUN
ejpam-6110	121	5	and	and	CCONJ
ejpam-6110	121	6	nm	nm	ADV
ejpam-6110	121	7	on	on	ADP
ejpam-6110	121	8	elements	element	NOUN
ejpam-6110	121	9	x.	x.	NOUN
ejpam-6110	121	10	0	0	X
ejpam-6110	121	11	≤	≤	NUM
ejpam-6110	122	1	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	122	2	)	)	PUNCT
ejpam-6110	122	3	+	+	SYM
ejpam-6110	122	4	λa∗(ς̃∗	λa∗(ς̃∗	NOUN
ejpam-6110	122	5	)	)	PUNCT
ejpam-6110	122	6	≤	≤	NUM
ejpam-6110	122	7	1	1	NUM
ejpam-6110	122	8	.	.	PUNCT
ejpam-6110	123	1	definition	definition	NOUN
ejpam-6110	123	2	12	12	NUM
ejpam-6110	123	3	.	.	PUNCT
ejpam-6110	124	1	if	if	SCONJ
ejpam-6110	124	2	x	x	PRON
ejpam-6110	124	3	is	be	AUX
ejpam-6110	124	4	a	a	DET
ejpam-6110	124	5	universe	universe	ADJ
ejpam-6110	124	6	discourse	discourse	NOUN
ejpam-6110	124	7	and	and	CCONJ
ejpam-6110	124	8	ς̃∗	ς̃∗	PROPN
ejpam-6110	124	9	be	be	AUX
ejpam-6110	124	10	any	any	DET
ejpam-6110	124	11	particular	particular	ADJ
ejpam-6110	124	12	element	element	NOUN
ejpam-6110	124	13	of	of	ADP
ejpam-6110	124	14	x.	x.	NOUN
ejpam-6110	124	15	the	the	DET
ejpam-6110	124	16	eifs	eifs	PROPN
ejpam-6110	124	17	ea∗	ea∗	NOUN
ejpam-6110	124	18	defined	define	VERB
ejpam-6110	124	19	on	on	ADP
ejpam-6110	124	20	x	x	SYM
ejpam-6110	124	21	is	be	AUX
ejpam-6110	124	22	a	a	DET
ejpam-6110	124	23	collection	collection	NOUN
ejpam-6110	124	24	of	of	ADP
ejpam-6110	124	25	ordered	order	VERB
ejpam-6110	124	26	pairs	pair	NOUN
ejpam-6110	124	27	,	,	PUNCT
ejpam-6110	124	28	ea∗	ea∗	NOUN
ejpam-6110	124	29	=	=	PRON
ejpam-6110	124	30	{	{	PUNCT
ejpam-6110	124	31	(	(	PUNCT
ejpam-6110	124	32	ς̃∗	ς̃∗	NOUN
ejpam-6110	124	33	,	,	PUNCT
ejpam-6110	124	34	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	124	35	−aµa∗	−aµa∗	NOUN
ejpam-6110	124	36	(	(	PUNCT
ejpam-6110	124	37	ς̃∗	ς̃∗	NOUN
ejpam-6110	124	38	)	)	PUNCT
ejpam-6110	124	39	,	,	PUNCT
ejpam-6110	124	40	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	124	41	−aλa∗	−aλa∗	NUM
ejpam-6110	124	42	(	(	PUNCT
ejpam-6110	124	43	ς̃∗	ς̃∗	PROPN
ejpam-6110	124	44	)	)	PUNCT
ejpam-6110	124	45	)	)	PUNCT
ejpam-6110	124	46	|ς̃∗	|ς̃∗	PROPN
ejpam-6110	125	1	∈	∈	PROPN
ejpam-6110	125	2	x	x	X
ejpam-6110	125	3	,	,	PUNCT
ejpam-6110	125	4	a	a	PRON
ejpam-6110	125	5	>	>	X
ejpam-6110	125	6	0	0	NUM
ejpam-6110	125	7	}	}	PUNCT
ejpam-6110	125	8	,	,	PUNCT
ejpam-6110	125	9	where	where	SCONJ
ejpam-6110	125	10	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	125	11	−aµa∗	−aµa∗	NOUN
ejpam-6110	125	12	(	(	PUNCT
ejpam-6110	125	13	ς̃∗	ς̃∗	PROPN
ejpam-6110	125	14	)	)	PUNCT
ejpam-6110	125	15	:	:	PUNCT
ejpam-6110	126	1	x	x	X
ejpam-6110	126	2	→	→	PUNCT
ejpam-6110	126	3	[	[	X
ejpam-6110	126	4	0	0	NUM
ejpam-6110	126	5	,	,	PUNCT
ejpam-6110	126	6	1	1	NUM
ejpam-6110	126	7	]	]	PUNCT
ejpam-6110	126	8	is	be	AUX
ejpam-6110	126	9	called	call	VERB
ejpam-6110	126	10	the	the	DET
ejpam-6110	126	11	mf	mf	NOUN
ejpam-6110	126	12	and	and	CCONJ
ejpam-6110	126	13	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	126	14	−aλa∗	−aλa∗	NUM
ejpam-6110	126	15	(	(	PUNCT
ejpam-6110	126	16	ς̃∗	ς̃∗	PROPN
ejpam-6110	126	17	)	)	PUNCT
ejpam-6110	126	18	:	:	PUNCT
ejpam-6110	127	1	x	x	X
ejpam-6110	127	2	→	→	PUNCT
ejpam-6110	127	3	[	[	X
ejpam-6110	127	4	0	0	NUM
ejpam-6110	127	5	,	,	PUNCT
ejpam-6110	127	6	1	1	NUM
ejpam-6110	127	7	]	]	PUNCT
ejpam-6110	127	8	is	be	AUX
ejpam-6110	127	9	called	call	VERB
ejpam-6110	127	10	the	the	DET
ejpam-6110	127	11	nmf	nmf	NOUN
ejpam-6110	127	12	.	.	PUNCT
ejpam-6110	128	1	the	the	DET
ejpam-6110	128	2	degree	degree	NOUN
ejpam-6110	128	3	of	of	ADP
ejpam-6110	128	4	mf	mf	PROPN
ejpam-6110	128	5	is	be	AUX
ejpam-6110	128	6	0	0	NUM
ejpam-6110	128	7	≤	≤	NUM
ejpam-6110	128	8	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	128	9	−aµa∗	−aµa∗	NOUN
ejpam-6110	128	10	(	(	PUNCT
ejpam-6110	128	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	128	12	)	)	PUNCT
ejpam-6110	129	1	+	+	NUM
ejpam-6110	129	2	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	129	3	−aλa∗	−aλa∗	PRON
ejpam-6110	129	4	(	(	PUNCT
ejpam-6110	129	5	ς̃∗	ς̃∗	PROPN
ejpam-6110	129	6	)	)	PUNCT
ejpam-6110	129	7	≤	≤	NUM
ejpam-6110	129	8	1	1	NUM
ejpam-6110	129	9	.	.	PUNCT
ejpam-6110	129	10	example	example	NOUN
ejpam-6110	130	1	1	1	NUM
ejpam-6110	130	2	.	.	PUNCT
ejpam-6110	130	3	let	let	VERB
ejpam-6110	130	4	x	x	PUNCT
ejpam-6110	130	5	=	=	PRON
ejpam-6110	130	6	{	{	PUNCT
ejpam-6110	130	7	1	1	NUM
ejpam-6110	130	8	,	,	PUNCT
ejpam-6110	130	9	2	2	NUM
ejpam-6110	130	10	,	,	PUNCT
ejpam-6110	130	11	3	3	NUM
ejpam-6110	130	12	,	,	PUNCT
ejpam-6110	130	13	4	4	NUM
ejpam-6110	130	14	,	,	PUNCT
ejpam-6110	130	15	5	5	NUM
ejpam-6110	130	16	}	}	PUNCT
ejpam-6110	130	17	be	be	AUX
ejpam-6110	130	18	the	the	DET
ejpam-6110	130	19	universal	universal	ADJ
ejpam-6110	130	20	set	set	NOUN
ejpam-6110	130	21	and	and	CCONJ
ejpam-6110	130	22	ifmvs	ifmvs	NOUN
ejpam-6110	130	23	of	of	ADP
ejpam-6110	130	24	x	x	PUNCT
ejpam-6110	130	25	is	be	AUX
ejpam-6110	130	26	µa(ς̃∗	µa(ς̃∗	ADJ
ejpam-6110	130	27	)	)	PUNCT
ejpam-6110	130	28	=	=	PUNCT
ejpam-6110	130	29	{	{	PUNCT
ejpam-6110	130	30	0.9	0.9	NUM
ejpam-6110	130	31	,	,	PUNCT
ejpam-6110	130	32	0.7	0.7	NUM
ejpam-6110	130	33	,	,	PUNCT
ejpam-6110	130	34	0.5	0.5	NUM
ejpam-6110	130	35	,	,	PUNCT
ejpam-6110	130	36	0.4	0.4	NUM
ejpam-6110	130	37	,	,	PUNCT
ejpam-6110	130	38	0.3	0.3	NUM
ejpam-6110	130	39	}	}	PUNCT
ejpam-6110	130	40	and	and	CCONJ
ejpam-6110	130	41	λa(ς̃∗	λa(ς̃∗	PROPN
ejpam-6110	130	42	)	)	PUNCT
ejpam-6110	130	43	=	=	PRON
ejpam-6110	130	44	{	{	PUNCT
ejpam-6110	130	45	0.7	0.7	NUM
ejpam-6110	130	46	,	,	PUNCT
ejpam-6110	130	47	0.5	0.5	NUM
ejpam-6110	130	48	,	,	PUNCT
ejpam-6110	130	49	0.7	0.7	NUM
ejpam-6110	130	50	,	,	PUNCT
ejpam-6110	130	51	0.3	0.3	NUM
ejpam-6110	130	52	,	,	PUNCT
ejpam-6110	130	53	0.2	0.2	NUM
ejpam-6110	130	54	}	}	PUNCT
ejpam-6110	130	55	,	,	PUNCT
ejpam-6110	130	56	the	the	DET
ejpam-6110	130	57	decay	decay	NOUN
ejpam-6110	130	58	parameter	parameter	NOUN
ejpam-6110	130	59	a	a	DET
ejpam-6110	130	60	=	=	NOUN
ejpam-6110	130	61	0.02	0.02	NUM
ejpam-6110	130	62	.	.	PUNCT
ejpam-6110	131	1	the	the	DET
ejpam-6110	131	2	eif	eif	NOUN
ejpam-6110	131	3	mf	mf	NOUN
ejpam-6110	131	4	is	be	AUX
ejpam-6110	131	5	given	give	VERB
ejpam-6110	131	6	by	by	ADP
ejpam-6110	131	7	:	:	PUNCT
ejpam-6110	131	8	ea∗(ς̃∗	ea∗(ς̃∗	PROPN
ejpam-6110	131	9	)	)	PUNCT
ejpam-6110	131	10	=	=	PRON
ejpam-6110	131	11	(	(	PUNCT
ejpam-6110	131	12	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NUM
ejpam-6110	131	13	−aµa∗	−aµa∗	NOUN
ejpam-6110	131	14	(	(	PUNCT
ejpam-6110	131	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	131	16	)	)	PUNCT
ejpam-6110	131	17	,	,	PUNCT
ejpam-6110	131	18	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	131	19	−aλa∗	−aλa∗	NUM
ejpam-6110	131	20	(	(	PUNCT
ejpam-6110	131	21	ς̃∗	ς̃∗	PROPN
ejpam-6110	131	22	)	)	PUNCT
ejpam-6110	131	23	)	)	PUNCT
ejpam-6110	131	24	.	.	PUNCT
ejpam-6110	132	1	the	the	DET
ejpam-6110	132	2	eif	eif	NOUN
ejpam-6110	132	3	mvs	mvs	PROPN
ejpam-6110	132	4	ea∗(ς̃∗	ea∗(ς̃∗	PROPN
ejpam-6110	132	5	)	)	PUNCT
ejpam-6110	133	1	=	=	PRON
ejpam-6110	133	2	{	{	PUNCT
ejpam-6110	133	3	(	(	PUNCT
ejpam-6110	133	4	1	1	NUM
ejpam-6110	133	5	,	,	PUNCT
ejpam-6110	133	6	0.884	0.884	NUM
ejpam-6110	133	7	,	,	PUNCT
ejpam-6110	133	8	0.690	0.690	NUM
ejpam-6110	133	9	)	)	PUNCT
ejpam-6110	133	10	,	,	PUNCT
ejpam-6110	133	11	(	(	PUNCT
ejpam-6110	133	12	2	2	NUM
ejpam-6110	133	13	,	,	PUNCT
ejpam-6110	133	14	0.690	0.690	NUM
ejpam-6110	133	15	,	,	PUNCT
ejpam-6110	133	16	0.495	0.495	NUM
ejpam-6110	133	17	)	)	PUNCT
ejpam-6110	133	18	,	,	PUNCT
ejpam-6110	133	19	(	(	PUNCT
ejpam-6110	133	20	3	3	NUM
ejpam-6110	133	21	,	,	PUNCT
ejpam-6110	133	22	0.495	0.495	NUM
ejpam-6110	133	23	,	,	PUNCT
ejpam-6110	133	24	0.690	0.690	NUM
ejpam-6110	133	25	)	)	PUNCT
ejpam-6110	133	26	,	,	PUNCT
ejpam-6110	133	27	(	(	PUNCT
ejpam-6110	133	28	4	4	NUM
ejpam-6110	133	29	,	,	PUNCT
ejpam-6110	133	30	0.397	0.397	NUM
ejpam-6110	133	31	,	,	PUNCT
ejpam-6110	133	32	0.298	0.298	NUM
ejpam-6110	133	33	)	)	PUNCT
ejpam-6110	133	34	,	,	PUNCT
ejpam-6110	133	35	(	(	PUNCT
ejpam-6110	133	36	5	5	NUM
ejpam-6110	133	37	,	,	PUNCT
ejpam-6110	133	38	0.298	0.298	NUM
ejpam-6110	133	39	,	,	PUNCT
ejpam-6110	133	40	0.199	0.199	NUM
ejpam-6110	133	41	)	)	PUNCT
ejpam-6110	133	42	}	}	PUNCT
ejpam-6110	133	43	.	.	PUNCT
ejpam-6110	134	1	figure	figure	VERB
ejpam-6110	134	2	1	1	NUM
ejpam-6110	134	3	:	:	PUNCT
ejpam-6110	134	4	iest	iest	PROPN
ejpam-6110	134	5	.	.	PUNCT
ejpam-6110	135	1	definition	definition	NOUN
ejpam-6110	135	2	13	13	NUM
ejpam-6110	135	3	.	.	PUNCT
ejpam-6110	136	1	let	let	VERB
ejpam-6110	136	2	ea∗	ea∗	NOUN
ejpam-6110	136	3	=	=	PUNCT
ejpam-6110	136	4	〈	〈	PROPN
ejpam-6110	136	5	µea∗	µea∗	NOUN
ejpam-6110	136	6	,	,	PUNCT
ejpam-6110	136	7	λea∗	λea∗	NOUN
ejpam-6110	136	8	〉	〉	NOUN
ejpam-6110	136	9	and	and	CCONJ
ejpam-6110	136	10	eb∗	eb∗	ADJ
ejpam-6110	136	11	=	=	SYM
ejpam-6110	136	12	〈	〈	PROPN
ejpam-6110	136	13	µeb∗	µeb∗	NOUN
ejpam-6110	136	14	,	,	PUNCT
ejpam-6110	136	15	λeb∗	λeb∗	ADJ
ejpam-6110	136	16	〉	〉	NOUN
ejpam-6110	136	17	be	be	VERB
ejpam-6110	136	18	two	two	NUM
ejpam-6110	136	19	eifss	eifss	ADV
ejpam-6110	136	20	on	on	ADP
ejpam-6110	136	21	x	x	PUNCT
ejpam-6110	136	22	with	with	ADP
ejpam-6110	136	23	their	their	PRON
ejpam-6110	136	24	grade	grade	NOUN
ejpam-6110	136	25	values	value	NOUN
ejpam-6110	136	26	given	give	VERB
ejpam-6110	136	27	by	by	ADP
ejpam-6110	136	28	:	:	PUNCT
ejpam-6110	136	29	µea∗	µea∗	NOUN
ejpam-6110	136	30	(	(	PUNCT
ejpam-6110	136	31	ς̃∗	ς̃∗	NOUN
ejpam-6110	136	32	)	)	PUNCT
ejpam-6110	136	33	=	=	SYM
ejpam-6110	137	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	137	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	137	3	(	(	PUNCT
ejpam-6110	137	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	137	5	)	)	PUNCT
ejpam-6110	137	6	&	&	CCONJ
ejpam-6110	137	7	λea∗	λea∗	PROPN
ejpam-6110	137	8	(	(	PUNCT
ejpam-6110	137	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	137	10	)	)	PUNCT
ejpam-6110	137	11	=	=	VERB
ejpam-6110	137	12	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	137	13	−aλa∗	−aλa∗	NUM
ejpam-6110	137	14	(	(	PUNCT
ejpam-6110	137	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	137	16	)	)	PUNCT
ejpam-6110	137	17	m.	m.	NOUN
ejpam-6110	137	18	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	137	19	et	et	PROPN
ejpam-6110	137	20	al	al	PROPN
ejpam-6110	137	21	.	.	PUNCT
ejpam-6110	137	22	/	/	SYM
ejpam-6110	137	23	eur	eur	PROPN
ejpam-6110	137	24	.	.	PUNCT
ejpam-6110	138	1	j.	j.	PROPN
ejpam-6110	138	2	pure	pure	PROPN
ejpam-6110	138	3	appl	appl	PROPN
ejpam-6110	138	4	.	.	PROPN
ejpam-6110	138	5	math	math	PROPN
ejpam-6110	138	6	,	,	PUNCT
ejpam-6110	138	7	18	18	NUM
ejpam-6110	138	8	(	(	PUNCT
ejpam-6110	138	9	3	3	NUM
ejpam-6110	138	10	)	)	PUNCT
ejpam-6110	138	11	(	(	PUNCT
ejpam-6110	138	12	2025	2025	NUM
ejpam-6110	138	13	)	)	PUNCT
ejpam-6110	138	14	,	,	PUNCT
ejpam-6110	138	15	6110	6110	NUM
ejpam-6110	138	16	7	7	NUM
ejpam-6110	138	17	of	of	ADP
ejpam-6110	138	18	20	20	NUM
ejpam-6110	138	19	µeb∗	µeb∗	ADJ
ejpam-6110	138	20	(	(	PUNCT
ejpam-6110	138	21	ς̃∗	ς̃∗	PROPN
ejpam-6110	138	22	)	)	PUNCT
ejpam-6110	138	23	=	=	SYM
ejpam-6110	138	24	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	138	25	−aµb∗	−aµb∗	NOUN
ejpam-6110	138	26	(	(	PUNCT
ejpam-6110	138	27	ς̃∗	ς̃∗	NOUN
ejpam-6110	138	28	)	)	PUNCT
ejpam-6110	138	29	&	&	CCONJ
ejpam-6110	138	30	λeb∗	λeb∗	PROPN
ejpam-6110	138	31	(	(	PUNCT
ejpam-6110	138	32	ς̃∗	ς̃∗	PROPN
ejpam-6110	138	33	)	)	PUNCT
ejpam-6110	138	34	=	=	PUNCT
ejpam-6110	138	35	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	138	36	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	138	37	)	)	PUNCT
ejpam-6110	138	38	the	the	DET
ejpam-6110	138	39	eif	eif	NOUN
ejpam-6110	138	40	intersection	intersection	NOUN
ejpam-6110	138	41	of	of	ADP
ejpam-6110	138	42	ea∗	ea∗	NOUN
ejpam-6110	138	43	and	and	CCONJ
ejpam-6110	138	44	eb∗	eb∗	NOUN
ejpam-6110	138	45	is	be	AUX
ejpam-6110	138	46	defined	define	VERB
ejpam-6110	138	47	as	as	ADP
ejpam-6110	138	48	:	:	PUNCT
ejpam-6110	138	49	µea∗∩eb∗	µea∗∩eb∗	PROPN
ejpam-6110	138	50	(	(	PUNCT
ejpam-6110	138	51	ς̃∗	ς̃∗	NOUN
ejpam-6110	138	52	)	)	PUNCT
ejpam-6110	138	53	=	=	SYM
ejpam-6110	138	54	∧	∧	NOUN
ejpam-6110	138	55	{	{	PUNCT
ejpam-6110	138	56	µea∗	µea∗	NOUN
ejpam-6110	138	57	(	(	PUNCT
ejpam-6110	138	58	ς̃∗	ς̃∗	NOUN
ejpam-6110	138	59	)	)	PUNCT
ejpam-6110	138	60	,	,	PUNCT
ejpam-6110	138	61	µeb∗	µeb∗	PROPN
ejpam-6110	138	62	(	(	PUNCT
ejpam-6110	138	63	ς̃∗	ς̃∗	PROPN
ejpam-6110	138	64	)	)	PUNCT
ejpam-6110	138	65	}	}	PUNCT
ejpam-6110	139	1	=	=	SYM
ejpam-6110	139	2	∧	∧	NOUN
ejpam-6110	139	3	{	{	PUNCT
ejpam-6110	139	4	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	139	5	−aµa∗	−aµa∗	NOUN
ejpam-6110	139	6	(	(	PUNCT
ejpam-6110	139	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	139	8	)	)	PUNCT
ejpam-6110	139	9	,	,	PUNCT
ejpam-6110	139	10	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	139	11	−aµb∗	−aµb∗	ADV
ejpam-6110	139	12	(	(	PUNCT
ejpam-6110	139	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	139	14	)	)	PUNCT
ejpam-6110	139	15	}	}	PUNCT
ejpam-6110	139	16	(	(	PUNCT
ejpam-6110	139	17	3.1	3.1	NUM
ejpam-6110	139	18	)	)	PUNCT
ejpam-6110	139	19	λea∗∩eb∗	λea∗∩eb∗	NOUN
ejpam-6110	139	20	(	(	PUNCT
ejpam-6110	139	21	ς̃∗	ς̃∗	NOUN
ejpam-6110	139	22	)	)	PUNCT
ejpam-6110	139	23	=	=	SYM
ejpam-6110	139	24	∨	∨	X
ejpam-6110	139	25	{	{	PUNCT
ejpam-6110	139	26	λea∗	λea∗	NOUN
ejpam-6110	139	27	(	(	PUNCT
ejpam-6110	139	28	ς̃∗	ς̃∗	PROPN
ejpam-6110	139	29	)	)	PUNCT
ejpam-6110	139	30	,	,	PUNCT
ejpam-6110	139	31	λeb∗	λeb∗	PROPN
ejpam-6110	139	32	(	(	PUNCT
ejpam-6110	139	33	ς̃∗	ς̃∗	PROPN
ejpam-6110	139	34	)	)	PUNCT
ejpam-6110	139	35	}	}	PUNCT
ejpam-6110	140	1	=	=	PUNCT
ejpam-6110	140	2	∨	∨	X
ejpam-6110	140	3	{	{	PUNCT
ejpam-6110	140	4	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	140	5	−aλa∗	−aλa∗	PRON
ejpam-6110	140	6	(	(	PUNCT
ejpam-6110	140	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	140	8	)	)	PUNCT
ejpam-6110	140	9	,	,	PUNCT
ejpam-6110	140	10	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	140	11	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	140	12	)	)	PUNCT
ejpam-6110	140	13	}	}	PUNCT
ejpam-6110	140	14	(	(	PUNCT
ejpam-6110	140	15	3.2	3.2	NUM
ejpam-6110	140	16	)	)	PUNCT
ejpam-6110	140	17	similarly	similarly	ADV
ejpam-6110	140	18	,	,	PUNCT
ejpam-6110	140	19	the	the	DET
ejpam-6110	140	20	eif	eif	NOUN
ejpam-6110	140	21	union	union	NOUN
ejpam-6110	140	22	of	of	ADP
ejpam-6110	140	23	ea∗	ea∗	NOUN
ejpam-6110	140	24	and	and	CCONJ
ejpam-6110	140	25	eb∗	eb∗	NOUN
ejpam-6110	140	26	is	be	AUX
ejpam-6110	140	27	defined	define	VERB
ejpam-6110	140	28	as	as	ADP
ejpam-6110	140	29	:	:	PUNCT
ejpam-6110	140	30	µea∗∪eb∗	µea∗∪eb∗	PROPN
ejpam-6110	140	31	(	(	PUNCT
ejpam-6110	140	32	ς̃∗	ς̃∗	NOUN
ejpam-6110	140	33	)	)	PUNCT
ejpam-6110	140	34	=	=	SYM
ejpam-6110	140	35	∨	∨	X
ejpam-6110	140	36	{	{	PUNCT
ejpam-6110	140	37	µea∗	µea∗	NOUN
ejpam-6110	140	38	(	(	PUNCT
ejpam-6110	140	39	ς̃∗	ς̃∗	NOUN
ejpam-6110	140	40	)	)	PUNCT
ejpam-6110	140	41	,	,	PUNCT
ejpam-6110	140	42	µeb∗	µeb∗	PROPN
ejpam-6110	140	43	(	(	PUNCT
ejpam-6110	140	44	ς̃∗	ς̃∗	PROPN
ejpam-6110	140	45	)	)	PUNCT
ejpam-6110	140	46	}	}	PUNCT
ejpam-6110	140	47	=	=	PUNCT
ejpam-6110	140	48	∨	∨	X
ejpam-6110	140	49	{	{	PUNCT
ejpam-6110	140	50	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	140	51	−aµa∗	−aµa∗	NOUN
ejpam-6110	140	52	(	(	PUNCT
ejpam-6110	140	53	ς̃∗	ς̃∗	NOUN
ejpam-6110	140	54	)	)	PUNCT
ejpam-6110	140	55	,	,	PUNCT
ejpam-6110	140	56	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	140	57	−aµb∗	−aµb∗	ADV
ejpam-6110	140	58	(	(	PUNCT
ejpam-6110	140	59	ς̃∗	ς̃∗	NOUN
ejpam-6110	140	60	)	)	PUNCT
ejpam-6110	140	61	}	}	PUNCT
ejpam-6110	140	62	(	(	PUNCT
ejpam-6110	140	63	3.3	3.3	NUM
ejpam-6110	140	64	)	)	PUNCT
ejpam-6110	140	65	λea∗∪eb∗	λea∗∪eb∗	PRON
ejpam-6110	140	66	(	(	PUNCT
ejpam-6110	140	67	ς̃∗	ς̃∗	PROPN
ejpam-6110	140	68	)	)	PUNCT
ejpam-6110	141	1	=	=	SYM
ejpam-6110	141	2	∧	∧	PROPN
ejpam-6110	141	3	{	{	PUNCT
ejpam-6110	141	4	λea∗	λea∗	NOUN
ejpam-6110	141	5	(	(	PUNCT
ejpam-6110	141	6	ς̃∗	ς̃∗	PROPN
ejpam-6110	141	7	)	)	PUNCT
ejpam-6110	141	8	,	,	PUNCT
ejpam-6110	141	9	λeb∗	λeb∗	PROPN
ejpam-6110	141	10	(	(	PUNCT
ejpam-6110	141	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	141	12	)	)	PUNCT
ejpam-6110	141	13	}	}	PUNCT
ejpam-6110	142	1	=	=	SYM
ejpam-6110	142	2	∧	∧	NOUN
ejpam-6110	142	3	{	{	PUNCT
ejpam-6110	142	4	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	142	5	−aλa∗	−aλa∗	PRON
ejpam-6110	142	6	(	(	PUNCT
ejpam-6110	142	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	142	8	)	)	PUNCT
ejpam-6110	142	9	,	,	PUNCT
ejpam-6110	142	10	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	142	11	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	142	12	)	)	PUNCT
ejpam-6110	142	13	}	}	PUNCT
ejpam-6110	142	14	(	(	PUNCT
ejpam-6110	142	15	3.4	3.4	NUM
ejpam-6110	142	16	)	)	PUNCT
ejpam-6110	142	17	example	example	NOUN
ejpam-6110	143	1	2	2	NUM
ejpam-6110	143	2	.	.	PUNCT
ejpam-6110	143	3	let	let	VERB
ejpam-6110	143	4	x	x	PUNCT
ejpam-6110	143	5	=	=	PRON
ejpam-6110	143	6	{	{	PUNCT
ejpam-6110	143	7	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	143	8	,	,	PUNCT
ejpam-6110	143	9	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	143	10	,	,	PUNCT
ejpam-6110	143	11	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	143	12	,	,	PUNCT
ejpam-6110	143	13	ς̃∗4	ς̃∗4	PROPN
ejpam-6110	143	14	,	,	PUNCT
ejpam-6110	143	15	ς̃∗5	ς̃∗5	NOUN
ejpam-6110	143	16	}	}	PUNCT
ejpam-6110	143	17	be	be	VERB
ejpam-6110	143	18	a	a	DET
ejpam-6110	143	19	finite	finite	ADJ
ejpam-6110	143	20	universe	universe	NOUN
ejpam-6110	143	21	,	,	PUNCT
ejpam-6110	143	22	and	and	CCONJ
ejpam-6110	143	23	let	let	VERB
ejpam-6110	143	24	ea∗	ea∗	NOUN
ejpam-6110	143	25	and	and	CCONJ
ejpam-6110	143	26	eb∗	eb∗	ADV
ejpam-6110	143	27	be	be	AUX
ejpam-6110	143	28	two	two	NUM
ejpam-6110	143	29	eifss	eifss	ADV
ejpam-6110	143	30	defined	define	VERB
ejpam-6110	143	31	by	by	ADP
ejpam-6110	143	32	the	the	DET
ejpam-6110	143	33	memberships	membership	NOUN
ejpam-6110	143	34	:	:	PUNCT
ejpam-6110	143	35	µea∗	µea∗	NOUN
ejpam-6110	143	36	(	(	PUNCT
ejpam-6110	143	37	ς̃∗	ς̃∗	NOUN
ejpam-6110	143	38	)	)	PUNCT
ejpam-6110	143	39	=	=	SYM
ejpam-6110	144	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	144	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	144	3	(	(	PUNCT
ejpam-6110	144	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	144	5	)	)	PUNCT
ejpam-6110	144	6	µeb∗	µeb∗	NOUN
ejpam-6110	144	7	(	(	PUNCT
ejpam-6110	144	8	ς̃∗	ς̃∗	PROPN
ejpam-6110	144	9	)	)	PUNCT
ejpam-6110	144	10	=	=	SYM
ejpam-6110	144	11	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	144	12	−aµb∗	−aµb∗	NOUN
ejpam-6110	144	13	(	(	PUNCT
ejpam-6110	144	14	ς̃∗	ς̃∗	NOUN
ejpam-6110	144	15	)	)	PUNCT
ejpam-6110	144	16	now	now	ADV
ejpam-6110	144	17	,	,	PUNCT
ejpam-6110	144	18	we	we	PRON
ejpam-6110	144	19	compute	compute	VERB
ejpam-6110	144	20	the	the	DET
ejpam-6110	144	21	corresponding	correspond	VERB
ejpam-6110	144	22	µea∗∪eb∗	µea∗∪eb∗	PROPN
ejpam-6110	144	23	(	(	PUNCT
ejpam-6110	144	24	ς̃∗	ς̃∗	NOUN
ejpam-6110	144	25	)	)	PUNCT
ejpam-6110	144	26	and	and	CCONJ
ejpam-6110	144	27	λea∗∪eb∗	λea∗∪eb∗	PRON
ejpam-6110	144	28	(	(	PUNCT
ejpam-6110	144	29	ς̃∗	ς̃∗	NOUN
ejpam-6110	144	30	)	)	PUNCT
ejpam-6110	144	31	mns	mn	NOUN
ejpam-6110	144	32	:	:	PUNCT
ejpam-6110	144	33	ς̃∗	ς̃∗	NUM
ejpam-6110	144	34	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	144	35	ς̃∗2	ς̃∗2	ADV
ejpam-6110	144	36	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	144	37	ς̃∗5	ς̃∗5	ADJ
ejpam-6110	144	38	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	144	39	µa(ς̃∗	µa(ς̃∗	ADP
ejpam-6110	144	40	)	)	PUNCT
ejpam-6110	144	41	0.8	0.8	NUM
ejpam-6110	144	42	0.6	0.6	NUM
ejpam-6110	144	43	0.4	0.4	NUM
ejpam-6110	144	44	0.2	0.2	NUM
ejpam-6110	144	45	0.1	0.1	NUM
ejpam-6110	144	46	λa(ς̃∗	λa(ς̃∗	NOUN
ejpam-6110	144	47	)	)	PUNCT
ejpam-6110	144	48	0.2	0.2	NUM
ejpam-6110	144	49	0.3	0.3	NUM
ejpam-6110	144	50	0.4	0.4	NUM
ejpam-6110	144	51	0.1	0.1	NUM
ejpam-6110	144	52	0.1	0.1	NUM
ejpam-6110	144	53	µb(ς̃∗	µb(ς̃∗	NOUN
ejpam-6110	144	54	)	)	PUNCT
ejpam-6110	144	55	0.3	0.3	NUM
ejpam-6110	144	56	0.5	0.5	NUM
ejpam-6110	144	57	0.4	0.4	NUM
ejpam-6110	144	58	0.2	0.2	NUM
ejpam-6110	144	59	0.1	0.1	NUM
ejpam-6110	144	60	λb(ς̃∗	λb(ς̃∗	NOUN
ejpam-6110	144	61	)	)	PUNCT
ejpam-6110	144	62	0.6	0.6	NUM
ejpam-6110	144	63	0.5	0.5	NUM
ejpam-6110	144	64	0.5	0.5	NUM
ejpam-6110	144	65	0.6	0.6	NUM
ejpam-6110	144	66	0.7	0.7	NUM
ejpam-6110	144	67	definition	definition	NOUN
ejpam-6110	144	68	14	14	NUM
ejpam-6110	144	69	.	.	PUNCT
ejpam-6110	145	1	consider	consider	VERB
ejpam-6110	145	2	two	two	NUM
ejpam-6110	145	3	eifss	eifss	ADJ
ejpam-6110	145	4	ea∗	ea∗	NOUN
ejpam-6110	145	5	=	=	PUNCT
ejpam-6110	145	6	〈	〈	PROPN
ejpam-6110	145	7	µea∗	µea∗	NOUN
ejpam-6110	145	8	,	,	PUNCT
ejpam-6110	145	9	λea∗	λea∗	NOUN
ejpam-6110	145	10	〉	〉	NOUN
ejpam-6110	145	11	and	and	CCONJ
ejpam-6110	145	12	eb∗	eb∗	ADJ
ejpam-6110	145	13	=	=	SYM
ejpam-6110	145	14	〈	〈	PROPN
ejpam-6110	145	15	µeb∗	µeb∗	NOUN
ejpam-6110	145	16	,	,	PUNCT
ejpam-6110	145	17	λeb∗	λeb∗	ADJ
ejpam-6110	145	18	〉	〉	NOUN
ejpam-6110	145	19	where	where	SCONJ
ejpam-6110	145	20	µea∗	µea∗	NOUN
ejpam-6110	145	21	(	(	PUNCT
ejpam-6110	145	22	ς̃∗	ς̃∗	NOUN
ejpam-6110	145	23	)	)	PUNCT
ejpam-6110	145	24	=	=	SYM
ejpam-6110	145	25	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	145	26	−aµa∗	−aµa∗	NOUN
ejpam-6110	145	27	(	(	PUNCT
ejpam-6110	145	28	ς̃∗	ς̃∗	NOUN
ejpam-6110	145	29	)	)	PUNCT
ejpam-6110	145	30	&	&	CCONJ
ejpam-6110	145	31	λea∗	λea∗	PROPN
ejpam-6110	145	32	(	(	PUNCT
ejpam-6110	145	33	ς̃∗	ς̃∗	PROPN
ejpam-6110	145	34	)	)	PUNCT
ejpam-6110	145	35	=	=	VERB
ejpam-6110	145	36	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	145	37	−aλa∗	−aλa∗	NUM
ejpam-6110	145	38	(	(	PUNCT
ejpam-6110	145	39	ς̃∗	ς̃∗	NOUN
ejpam-6110	145	40	)	)	PUNCT
ejpam-6110	145	41	µeb∗	µeb∗	NOUN
ejpam-6110	145	42	(	(	PUNCT
ejpam-6110	145	43	ς̃∗	ς̃∗	PROPN
ejpam-6110	145	44	)	)	PUNCT
ejpam-6110	145	45	=	=	SYM
ejpam-6110	145	46	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	145	47	−aµb∗	−aµb∗	NOUN
ejpam-6110	145	48	(	(	PUNCT
ejpam-6110	145	49	ς̃∗	ς̃∗	NOUN
ejpam-6110	145	50	)	)	PUNCT
ejpam-6110	145	51	&	&	CCONJ
ejpam-6110	145	52	λeb∗	λeb∗	PROPN
ejpam-6110	145	53	(	(	PUNCT
ejpam-6110	145	54	ς̃∗	ς̃∗	PROPN
ejpam-6110	145	55	)	)	PUNCT
ejpam-6110	145	56	=	=	PUNCT
ejpam-6110	145	57	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	145	58	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	145	59	)	)	PUNCT
ejpam-6110	145	60	denotes	denote	VERB
ejpam-6110	145	61	the	the	DET
ejpam-6110	145	62	m	m	ADJ
ejpam-6110	145	63	and	and	CCONJ
ejpam-6110	145	64	non	non	ADJ
ejpam-6110	145	65	-	-	NOUN
ejpam-6110	145	66	functions	function	NOUN
ejpam-6110	145	67	of	of	ADP
ejpam-6110	145	68	ea∗	ea∗	NOUN
ejpam-6110	145	69	and	and	CCONJ
ejpam-6110	145	70	eb∗.	eb∗.	PROPN
ejpam-6110	145	71	the	the	DET
ejpam-6110	145	72	simple	simple	ADJ
ejpam-6110	145	73	difference	difference	NOUN
ejpam-6110	145	74	ea∗	ea∗	NOUN
ejpam-6110	146	1	−	−	PROPN
ejpam-6110	146	2	eb∗	eb∗	NOUN
ejpam-6110	146	3	of	of	ADP
ejpam-6110	146	4	these	these	DET
ejpam-6110	146	5	two	two	NUM
ejpam-6110	146	6	eifss	eifss	ADJ
ejpam-6110	146	7	ea∗	ea∗	NOUN
ejpam-6110	146	8	and	and	CCONJ
ejpam-6110	146	9	eb∗	eb∗	NOUN
ejpam-6110	146	10	is	be	AUX
ejpam-6110	146	11	defined	define	VERB
ejpam-6110	146	12	as	as	ADP
ejpam-6110	146	13	:	:	PUNCT
ejpam-6110	146	14	ea∗	ea∗	NOUN
ejpam-6110	146	15	−	−	PROPN
ejpam-6110	146	16	eb∗	eb∗	CCONJ
ejpam-6110	146	17	=	=	SYM
ejpam-6110	146	18	ea∗	ea∗	NOUN
ejpam-6110	146	19	∩	∩	NOUN
ejpam-6110	146	20	eb∗	eb∗	NOUN
ejpam-6110	147	1	′	′	NUM
ejpam-6110	147	2	=	=	SYM
ejpam-6110	147	3	{	{	PUNCT
ejpam-6110	147	4	µea∗	µea∗	NOUN
ejpam-6110	147	5	(	(	PUNCT
ejpam-6110	147	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	147	7	)	)	PUNCT
ejpam-6110	147	8	,	,	PUNCT
ejpam-6110	147	9	λea∗	λea∗	PROPN
ejpam-6110	147	10	(	(	PUNCT
ejpam-6110	147	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	147	12	)	)	PUNCT
ejpam-6110	147	13	}	}	PUNCT
ejpam-6110	147	14	∗	∗	NOUN
ejpam-6110	147	15	{	{	PUNCT
ejpam-6110	147	16	µ	µ	NOUN
ejpam-6110	147	17	′	′	NUM
ejpam-6110	147	18	eb∗	eb∗	NOUN
ejpam-6110	147	19	(	(	PUNCT
ejpam-6110	147	20	ς̃∗	ς̃∗	NOUN
ejpam-6110	147	21	)	)	PUNCT
ejpam-6110	147	22	,	,	PUNCT
ejpam-6110	147	23	λ	λ	NOUN
ejpam-6110	147	24	′	′	NUM
ejpam-6110	147	25	eb∗	eb∗	NOUN
ejpam-6110	147	26	(	(	PUNCT
ejpam-6110	147	27	ς̃∗	ς̃∗	NOUN
ejpam-6110	147	28	)	)	PUNCT
ejpam-6110	147	29	}	}	PUNCT
ejpam-6110	147	30	m.	m.	NOUN
ejpam-6110	147	31	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	147	32	et	et	PROPN
ejpam-6110	147	33	al	al	PROPN
ejpam-6110	147	34	.	.	PUNCT
ejpam-6110	147	35	/	/	SYM
ejpam-6110	147	36	eur	eur	PROPN
ejpam-6110	147	37	.	.	PUNCT
ejpam-6110	148	1	j.	j.	PROPN
ejpam-6110	148	2	pure	pure	PROPN
ejpam-6110	148	3	appl	appl	PROPN
ejpam-6110	148	4	.	.	PROPN
ejpam-6110	148	5	math	math	PROPN
ejpam-6110	148	6	,	,	PUNCT
ejpam-6110	148	7	18	18	NUM
ejpam-6110	148	8	(	(	PUNCT
ejpam-6110	148	9	3	3	NUM
ejpam-6110	148	10	)	)	PUNCT
ejpam-6110	148	11	(	(	PUNCT
ejpam-6110	148	12	2025	2025	NUM
ejpam-6110	148	13	)	)	PUNCT
ejpam-6110	148	14	,	,	PUNCT
ejpam-6110	148	15	6110	6110	NUM
ejpam-6110	148	16	8	8	NUM
ejpam-6110	148	17	of	of	ADP
ejpam-6110	148	18	20	20	NUM
ejpam-6110	148	19	=	=	NOUN
ejpam-6110	148	20	{	{	PUNCT
ejpam-6110	148	21	µea∗	µea∗	NOUN
ejpam-6110	148	22	(	(	PUNCT
ejpam-6110	148	23	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	24	)	)	PUNCT
ejpam-6110	148	25	∗	∗	NOUN
ejpam-6110	148	26	µ	µ	X
ejpam-6110	148	27	′	′	NUM
ejpam-6110	148	28	eb∗	eb∗	NOUN
ejpam-6110	148	29	(	(	PUNCT
ejpam-6110	148	30	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	31	)	)	PUNCT
ejpam-6110	148	32	}	}	PUNCT
ejpam-6110	148	33	,	,	PUNCT
ejpam-6110	148	34	{	{	PUNCT
ejpam-6110	148	35	λea∗	λea∗	NOUN
ejpam-6110	148	36	(	(	PUNCT
ejpam-6110	148	37	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	38	)	)	PUNCT
ejpam-6110	148	39	∗	∗	NOUN
ejpam-6110	148	40	λ	λ	NOUN
ejpam-6110	148	41	′	′	NUM
ejpam-6110	148	42	eb∗	eb∗	NOUN
ejpam-6110	148	43	(	(	PUNCT
ejpam-6110	148	44	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	45	)	)	PUNCT
ejpam-6110	148	46	}	}	PUNCT
ejpam-6110	148	47	=	=	SYM
ejpam-6110	148	48	{	{	PUNCT
ejpam-6110	148	49	µea∗	µea∗	NOUN
ejpam-6110	148	50	(	(	PUNCT
ejpam-6110	148	51	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	52	)	)	PUNCT
ejpam-6110	148	53	,	,	PUNCT
ejpam-6110	148	54	λ	λ	NOUN
ejpam-6110	148	55	′	′	NUM
ejpam-6110	148	56	eb∗	eb∗	NOUN
ejpam-6110	148	57	(	(	PUNCT
ejpam-6110	148	58	ς̃∗	ς̃∗	NOUN
ejpam-6110	148	59	)	)	PUNCT
ejpam-6110	148	60	}	}	PUNCT
ejpam-6110	148	61	ea∗	ea∗	NOUN
ejpam-6110	149	1	−	−	NOUN
ejpam-6110	149	2	eb∗	eb∗	NOUN
ejpam-6110	150	1	=	=	CCONJ
ejpam-6110	150	2	{	{	PUNCT
ejpam-6110	150	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	150	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	150	5	(	(	PUNCT
ejpam-6110	150	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	150	7	)	)	PUNCT
ejpam-6110	150	8	,	,	PUNCT
ejpam-6110	150	9	λc	λc	PROPN
ejpam-6110	150	10	b(ς̃∗)e	b(ς̃∗)e	PROPN
ejpam-6110	150	11	−aλc	−aλc	PROPN
ejpam-6110	150	12	b(ς̃∗	b(ς̃∗	PROPN
ejpam-6110	150	13	)	)	PUNCT
ejpam-6110	150	14	}	}	PUNCT
ejpam-6110	150	15	example	example	NOUN
ejpam-6110	150	16	3	3	X
ejpam-6110	150	17	.	.	PUNCT
ejpam-6110	150	18	let	let	VERB
ejpam-6110	150	19	ea∗	ea∗	NOUN
ejpam-6110	151	1	=	=	PRON
ejpam-6110	151	2	{	{	PUNCT
ejpam-6110	151	3	0.25e−a0.25	0.25e−a0.25	NOUN
ejpam-6110	151	4	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	151	5	+	+	CCONJ
ejpam-6110	151	6	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	151	7	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	151	8	+	+	NUM
ejpam-6110	151	9	0.15e−a0.15	0.15e−a0.15	X
ejpam-6110	151	10	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	151	11	,	,	PUNCT
ejpam-6110	151	12	0.45e	0.45e	NUM
ejpam-6110	151	13	−a0.45	−a0.45	ADJ
ejpam-6110	151	14	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	151	15	+	+	CCONJ
ejpam-6110	151	16	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	151	17	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	151	18	+	+	CCONJ
ejpam-6110	151	19	0.25e−a0.25	0.25e−a0.25	ADJ
ejpam-6110	151	20	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	151	21	}	}	PUNCT
ejpam-6110	151	22	and	and	CCONJ
ejpam-6110	151	23	eb∗	eb∗	NOUN
ejpam-6110	151	24	=	=	SYM
ejpam-6110	151	25	{	{	PUNCT
ejpam-6110	151	26	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	151	27	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	151	28	+	+	CCONJ
ejpam-6110	151	29	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	151	30	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	151	31	+	+	NUM
ejpam-6110	151	32	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	151	33	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	151	34	,	,	PUNCT
ejpam-6110	151	35	0.55e	0.55e	NUM
ejpam-6110	151	36	−a0.55	−a0.55	NOUN
ejpam-6110	151	37	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	151	38	+	+	CCONJ
ejpam-6110	151	39	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	151	40	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	151	41	+	+	CCONJ
ejpam-6110	151	42	0.85e−a0.85	0.85e−a0.85	ADJ
ejpam-6110	151	43	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	151	44	}	}	PUNCT
ejpam-6110	151	45	be	be	AUX
ejpam-6110	151	46	two	two	NUM
ejpam-6110	151	47	two	two	NUM
ejpam-6110	151	48	eifss	eifss	NOUN
ejpam-6110	151	49	,	,	PUNCT
ejpam-6110	151	50	the	the	DET
ejpam-6110	151	51	simple	simple	ADJ
ejpam-6110	151	52	difference	difference	NOUN
ejpam-6110	151	53	is	be	AUX
ejpam-6110	151	54	ea∗	ea∗	NOUN
ejpam-6110	151	55	−	−	NOUN
ejpam-6110	151	56	eb∗	eb∗	CCONJ
ejpam-6110	151	57	=	=	SYM
ejpam-6110	151	58	ea∗	ea∗	NOUN
ejpam-6110	151	59	∩	∩	NOUN
ejpam-6110	151	60	eb∗	eb∗	NOUN
ejpam-6110	152	1	′	′	NUM
ejpam-6110	152	2	=	=	SYM
ejpam-6110	152	3	{	{	PUNCT
ejpam-6110	152	4	0.25e−a0.25	0.25e−a0.25	NOUN
ejpam-6110	152	5	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	152	6	+	+	CCONJ
ejpam-6110	152	7	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	152	8	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	152	9	+	+	NUM
ejpam-6110	152	10	0.15e−a0.15	0.15e−a0.15	X
ejpam-6110	152	11	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	152	12	,	,	PUNCT
ejpam-6110	152	13	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	152	14	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	152	15	+	+	CCONJ
ejpam-6110	152	16	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	152	17	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	152	18	+	+	CCONJ
ejpam-6110	152	19	0.25e−a0.25	0.25e−a0.25	ADJ
ejpam-6110	152	20	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	152	21	}	}	PUNCT
ejpam-6110	152	22	∗	∗	PROPN
ejpam-6110	152	23	{	{	PUNCT
ejpam-6110	152	24	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	152	25	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	152	26	+	+	CCONJ
ejpam-6110	152	27	0.55e−a0.55	0.55e−a0.55	NUM
ejpam-6110	152	28	ς̃∗2	ς̃∗2	ADV
ejpam-6110	152	29	+	+	NUM
ejpam-6110	152	30	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	152	31	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	152	32	,	,	PUNCT
ejpam-6110	152	33	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	152	34	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	152	35	+	+	CCONJ
ejpam-6110	152	36	0.85e−a0.85	0.85e−a0.85	NOUN
ejpam-6110	153	1	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	154	1	+	+	NUM
ejpam-6110	154	2	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	154	3	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	4	}	}	PUNCT
ejpam-6110	154	5	=	=	SYM
ejpam-6110	154	6	{	{	PUNCT
ejpam-6110	154	7	(	(	PUNCT
ejpam-6110	154	8	0.25e−a0.25	0.25e−a0.25	NOUN
ejpam-6110	154	9	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	10	+	+	CCONJ
ejpam-6110	154	11	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	154	12	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	154	13	+	+	NUM
ejpam-6110	154	14	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	154	15	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	16	)	)	PUNCT
ejpam-6110	154	17	∗	∗	NOUN
ejpam-6110	154	18	(	(	PUNCT
ejpam-6110	154	19	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	154	20	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	21	+	+	CCONJ
ejpam-6110	154	22	0.55e−a0.55	0.55e−a0.55	NUM
ejpam-6110	154	23	ς̃∗2	ς̃∗2	ADV
ejpam-6110	154	24	+	+	NUM
ejpam-6110	154	25	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	154	26	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	27	)	)	PUNCT
ejpam-6110	154	28	}	}	PUNCT
ejpam-6110	154	29	,	,	PUNCT
ejpam-6110	154	30	{	{	PUNCT
ejpam-6110	154	31	(	(	PUNCT
ejpam-6110	154	32	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	154	33	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	34	+	+	CCONJ
ejpam-6110	154	35	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	154	36	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	154	37	+	+	CCONJ
ejpam-6110	154	38	0.25e−a0.25	0.25e−a0.25	NOUN
ejpam-6110	154	39	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	40	∗	∗	NOUN
ejpam-6110	154	41	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	154	42	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	43	+	+	CCONJ
ejpam-6110	154	44	0.85e−a0.85	0.85e−a0.85	NOUN
ejpam-6110	154	45	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	154	46	+	+	NUM
ejpam-6110	154	47	0.15e−a0.15	0.15e−a0.15	X
ejpam-6110	154	48	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	49	)	)	PUNCT
ejpam-6110	154	50	}	}	PUNCT
ejpam-6110	154	51	=	=	SYM
ejpam-6110	154	52	{	{	PUNCT
ejpam-6110	154	53	(	(	PUNCT
ejpam-6110	154	54	0.25e−a0.25	0.25e−a0.25	NOUN
ejpam-6110	154	55	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	56	+	+	CCONJ
ejpam-6110	154	57	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	154	58	ς̃∗2	ς̃∗2	PROPN
ejpam-6110	154	59	+	+	NUM
ejpam-6110	154	60	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	154	61	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	62	)	)	PUNCT
ejpam-6110	154	63	,	,	PUNCT
ejpam-6110	154	64	(	(	PUNCT
ejpam-6110	154	65	0.45e−a0.45	0.45e−a0.45	ADJ
ejpam-6110	154	66	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	154	67	+	+	CCONJ
ejpam-6110	154	68	0.65e−a0.65	0.65e−a0.65	NUM
ejpam-6110	154	69	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	154	70	+	+	NUM
ejpam-6110	154	71	0.15e−a0.15	0.15e−a0.15	X
ejpam-6110	154	72	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	154	73	)	)	PUNCT
ejpam-6110	154	74	}	}	PUNCT
ejpam-6110	154	75	.	.	PUNCT
ejpam-6110	155	1	definition	definition	NOUN
ejpam-6110	155	2	15	15	NUM
ejpam-6110	155	3	.	.	PUNCT
ejpam-6110	155	4	consider	consider	VERB
ejpam-6110	155	5	two	two	NUM
ejpam-6110	155	6	eifss	eifss	ADJ
ejpam-6110	155	7	ea∗	ea∗	NOUN
ejpam-6110	155	8	=	=	PUNCT
ejpam-6110	155	9	〈	〈	PROPN
ejpam-6110	155	10	µea∗	µea∗	NOUN
ejpam-6110	155	11	,	,	PUNCT
ejpam-6110	155	12	λea∗	λea∗	NOUN
ejpam-6110	155	13	〉	〉	NOUN
ejpam-6110	155	14	and	and	CCONJ
ejpam-6110	155	15	eb∗	eb∗	ADJ
ejpam-6110	155	16	=	=	SYM
ejpam-6110	155	17	〈	〈	PROPN
ejpam-6110	155	18	µeb∗	µeb∗	NOUN
ejpam-6110	155	19	,	,	PUNCT
ejpam-6110	155	20	λeb∗	λeb∗	ADJ
ejpam-6110	155	21	〉	〉	NOUN
ejpam-6110	155	22	where	where	SCONJ
ejpam-6110	155	23	µea∗	µea∗	NOUN
ejpam-6110	155	24	(	(	PUNCT
ejpam-6110	155	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	155	26	)	)	PUNCT
ejpam-6110	155	27	=	=	SYM
ejpam-6110	155	28	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	155	29	−aµa∗	−aµa∗	NOUN
ejpam-6110	155	30	(	(	PUNCT
ejpam-6110	155	31	ς̃∗	ς̃∗	NOUN
ejpam-6110	155	32	)	)	PUNCT
ejpam-6110	155	33	&	&	CCONJ
ejpam-6110	155	34	λea∗	λea∗	PROPN
ejpam-6110	155	35	(	(	PUNCT
ejpam-6110	155	36	ς̃∗	ς̃∗	PROPN
ejpam-6110	155	37	)	)	PUNCT
ejpam-6110	155	38	=	=	VERB
ejpam-6110	155	39	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	155	40	−aλa∗	−aλa∗	NUM
ejpam-6110	155	41	(	(	PUNCT
ejpam-6110	155	42	ς̃∗	ς̃∗	NOUN
ejpam-6110	155	43	)	)	PUNCT
ejpam-6110	155	44	µeb∗	µeb∗	NOUN
ejpam-6110	155	45	(	(	PUNCT
ejpam-6110	155	46	ς̃∗	ς̃∗	PROPN
ejpam-6110	155	47	)	)	PUNCT
ejpam-6110	155	48	=	=	SYM
ejpam-6110	155	49	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	155	50	−aµb∗	−aµb∗	NOUN
ejpam-6110	155	51	(	(	PUNCT
ejpam-6110	155	52	ς̃∗	ς̃∗	NOUN
ejpam-6110	155	53	)	)	PUNCT
ejpam-6110	155	54	&	&	CCONJ
ejpam-6110	155	55	λeb∗	λeb∗	PROPN
ejpam-6110	155	56	(	(	PUNCT
ejpam-6110	155	57	ς̃∗	ς̃∗	PROPN
ejpam-6110	155	58	)	)	PUNCT
ejpam-6110	155	59	=	=	PUNCT
ejpam-6110	155	60	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	155	61	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	155	62	)	)	PUNCT
ejpam-6110	155	63	denotes	denote	VERB
ejpam-6110	155	64	the	the	DET
ejpam-6110	155	65	m	m	ADJ
ejpam-6110	155	66	and	and	CCONJ
ejpam-6110	155	67	non	non	ADJ
ejpam-6110	155	68	-	-	NOUN
ejpam-6110	155	69	functions	function	NOUN
ejpam-6110	155	70	of	of	ADP
ejpam-6110	155	71	ea∗	ea∗	NOUN
ejpam-6110	155	72	and	and	CCONJ
ejpam-6110	155	73	eb∗.	eb∗.	PROPN
ejpam-6110	155	74	the	the	DET
ejpam-6110	155	75	bounded	bounded	ADJ
ejpam-6110	155	76	difference	difference	NOUN
ejpam-6110	155	77	of	of	ADP
ejpam-6110	155	78	these	these	DET
ejpam-6110	155	79	two	two	NUM
ejpam-6110	155	80	eifss	eifss	ADJ
ejpam-6110	155	81	ea∗	ea∗	NOUN
ejpam-6110	155	82	and	and	CCONJ
ejpam-6110	155	83	eb∗	eb∗	NOUN
ejpam-6110	155	84	is	be	AUX
ejpam-6110	155	85	defined	define	VERB
ejpam-6110	155	86	as	as	ADP
ejpam-6110	155	87	:	:	PUNCT
ejpam-6110	155	88	µea∗⋄eb∗	µea∗⋄eb∗	ADJ
ejpam-6110	155	89	(	(	PUNCT
ejpam-6110	155	90	ς̃∗	ς̃∗	NOUN
ejpam-6110	155	91	)	)	PUNCT
ejpam-6110	156	1	=	=	SYM
ejpam-6110	156	2	∨	∨	X
ejpam-6110	156	3	[	[	PUNCT
ejpam-6110	156	4	0	0	NUM
ejpam-6110	156	5	,	,	PUNCT
ejpam-6110	156	6	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	156	7	−aµa∗	−aµa∗	NOUN
ejpam-6110	156	8	(	(	PUNCT
ejpam-6110	156	9	ς̃∗	ς̃∗	NOUN
ejpam-6110	156	10	)	)	PUNCT
ejpam-6110	156	11	,	,	PUNCT
ejpam-6110	156	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	156	13	−aµb∗	−aµb∗	ADV
ejpam-6110	156	14	(	(	PUNCT
ejpam-6110	156	15	ς̃∗	ς̃∗	PROPN
ejpam-6110	156	16	)	)	PUNCT
ejpam-6110	156	17	]	]	PUNCT
ejpam-6110	156	18	.	.	PUNCT
ejpam-6110	157	1	λea∗⋄eb∗	λea∗⋄eb∗	PROPN
ejpam-6110	157	2	(	(	PUNCT
ejpam-6110	157	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	157	4	)	)	PUNCT
ejpam-6110	157	5	=	=	SYM
ejpam-6110	157	6	∨	∨	X
ejpam-6110	157	7	[	[	PUNCT
ejpam-6110	157	8	0	0	NUM
ejpam-6110	157	9	,	,	PUNCT
ejpam-6110	157	10	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	157	11	−aλa∗	−aλa∗	NUM
ejpam-6110	157	12	(	(	PUNCT
ejpam-6110	157	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	157	14	)	)	PUNCT
ejpam-6110	157	15	,	,	PUNCT
ejpam-6110	157	16	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	157	17	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	157	18	)	)	PUNCT
ejpam-6110	157	19	]	]	PUNCT
ejpam-6110	157	20	.	.	PUNCT
ejpam-6110	158	1	example	example	NOUN
ejpam-6110	159	1	4	4	X
ejpam-6110	159	2	.	.	PUNCT
ejpam-6110	159	3	let	let	VERB
ejpam-6110	159	4	ea∗	ea∗	NOUN
ejpam-6110	159	5	=	=	PRON
ejpam-6110	159	6	(	(	PUNCT
ejpam-6110	159	7	0.22e−a0.22	0.22e−a0.22	NOUN
ejpam-6110	159	8	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	159	9	+	+	CCONJ
ejpam-6110	159	10	0.82e−a0.82	0.82e−a0.82	NUM
ejpam-6110	159	11	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	159	12	+	+	CCONJ
ejpam-6110	159	13	0.36e−a0.36	0.36e−a0.36	NUM
ejpam-6110	159	14	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	159	15	,	,	PUNCT
ejpam-6110	159	16	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	159	17	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	159	18	+	+	CCONJ
ejpam-6110	159	19	0.52e−a0.52	0.52e−a0.52	NUM
ejpam-6110	159	20	ς̃∗2	ς̃∗2	NOUN
ejpam-6110	159	21	+	+	CCONJ
ejpam-6110	159	22	0.46e−a0.46	0.46e−a0.46	NUM
ejpam-6110	159	23	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	159	24	)	)	PUNCT
ejpam-6110	159	25	and	and	CCONJ
ejpam-6110	159	26	eb∗	eb∗	NOUN
ejpam-6110	159	27	=	=	SYM
ejpam-6110	159	28	(	(	PUNCT
ejpam-6110	159	29	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	159	30	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	159	31	+	+	CCONJ
ejpam-6110	159	32	0.43e−a0.43	0.43e−a0.43	VERB
ejpam-6110	159	33	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	159	34	+	+	CCONJ
ejpam-6110	159	35	0.05e−a0.05	0.05e−a0.05	ADJ
ejpam-6110	159	36	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	159	37	,	,	PUNCT
ejpam-6110	159	38	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	159	39	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	159	40	+	+	CCONJ
ejpam-6110	159	41	0.13e−a0.13	0.13e−a0.13	NUM
ejpam-6110	159	42	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	159	43	+	+	NUM
ejpam-6110	159	44	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	159	45	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	159	46	)	)	PUNCT
ejpam-6110	159	47	be	be	VERB
ejpam-6110	159	48	two	two	NUM
ejpam-6110	159	49	two	two	NUM
ejpam-6110	159	50	eifss	eifss	NOUN
ejpam-6110	159	51	.	.	PUNCT
ejpam-6110	160	1	the	the	DET
ejpam-6110	160	2	bounded	bounded	ADJ
ejpam-6110	160	3	difference	difference	NOUN
ejpam-6110	160	4	of	of	ADP
ejpam-6110	160	5	these	these	DET
ejpam-6110	160	6	two	two	NUM
ejpam-6110	160	7	eifss	eifss	NOUN
ejpam-6110	160	8	is	be	AUX
ejpam-6110	160	9	:	:	PUNCT
ejpam-6110	160	10	µea∗⋄eb∗	µea∗⋄eb∗	ADJ
ejpam-6110	160	11	(	(	PUNCT
ejpam-6110	160	12	ς̃∗	ς̃∗	NOUN
ejpam-6110	160	13	)	)	PUNCT
ejpam-6110	160	14	=	=	SYM
ejpam-6110	160	15	(	(	PUNCT
ejpam-6110	160	16	0.07e−a0.07	0.07e−a0.07	NUM
ejpam-6110	160	17	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	160	18	+	+	CCONJ
ejpam-6110	160	19	0.39e−a0.39	0.39e−a0.39	NOUN
ejpam-6110	160	20	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	160	21	+	+	CCONJ
ejpam-6110	160	22	0.31e−a0.31	0.31e−a0.31	NOUN
ejpam-6110	160	23	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	160	24	)	)	PUNCT
ejpam-6110	160	25	λea∗⋄eb∗	λea∗⋄eb∗	NOUN
ejpam-6110	160	26	(	(	PUNCT
ejpam-6110	160	27	ς̃∗	ς̃∗	PROPN
ejpam-6110	160	28	)	)	PUNCT
ejpam-6110	160	29	=	=	SYM
ejpam-6110	161	1	(	(	PUNCT
ejpam-6110	161	2	0e−a0	0e−a0	NUM
ejpam-6110	161	3	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	161	4	+	+	CCONJ
ejpam-6110	161	5	0.39e−a0.39	0.39e−a0.39	NOUN
ejpam-6110	161	6	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	161	7	+	+	CCONJ
ejpam-6110	161	8	0.31e−a0.31	0.31e−a0.31	NOUN
ejpam-6110	161	9	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	161	10	)	)	PUNCT
ejpam-6110	161	11	.	.	PUNCT
ejpam-6110	162	1	m.	m.	NOUN
ejpam-6110	162	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	162	3	et	et	PROPN
ejpam-6110	162	4	al	al	PROPN
ejpam-6110	162	5	.	.	PUNCT
ejpam-6110	162	6	/	/	SYM
ejpam-6110	162	7	eur	eur	PROPN
ejpam-6110	162	8	.	.	PUNCT
ejpam-6110	163	1	j.	j.	PROPN
ejpam-6110	163	2	pure	pure	PROPN
ejpam-6110	163	3	appl	appl	PROPN
ejpam-6110	163	4	.	.	PROPN
ejpam-6110	163	5	math	math	PROPN
ejpam-6110	163	6	,	,	PUNCT
ejpam-6110	163	7	18	18	NUM
ejpam-6110	163	8	(	(	PUNCT
ejpam-6110	163	9	3	3	NUM
ejpam-6110	163	10	)	)	PUNCT
ejpam-6110	163	11	(	(	PUNCT
ejpam-6110	163	12	2025	2025	NUM
ejpam-6110	163	13	)	)	PUNCT
ejpam-6110	163	14	,	,	PUNCT
ejpam-6110	163	15	6110	6110	NUM
ejpam-6110	163	16	9	9	NUM
ejpam-6110	163	17	of	of	ADP
ejpam-6110	163	18	20	20	NUM
ejpam-6110	163	19	definition	definition	NOUN
ejpam-6110	163	20	16	16	NUM
ejpam-6110	163	21	.	.	PUNCT
ejpam-6110	164	1	let	let	VERB
ejpam-6110	164	2	ea∗	ea∗	NOUN
ejpam-6110	164	3	and	and	CCONJ
ejpam-6110	164	4	eb∗	eb∗	ADV
ejpam-6110	164	5	be	be	AUX
ejpam-6110	164	6	any	any	DET
ejpam-6110	164	7	two	two	NUM
ejpam-6110	164	8	eifss	eifss	NOUN
ejpam-6110	164	9	the	the	DET
ejpam-6110	164	10	disjoint	disjoint	ADJ
ejpam-6110	164	11	sum	sum	NOUN
ejpam-6110	164	12	is	be	AUX
ejpam-6110	164	13	defined	define	VERB
ejpam-6110	164	14	as	as	ADP
ejpam-6110	164	15	:	:	PUNCT
ejpam-6110	164	16	µea∗⊗eb∗	µea∗⊗eb∗	PROPN
ejpam-6110	164	17	(	(	PUNCT
ejpam-6110	164	18	ς̃∗	ς̃∗	PROPN
ejpam-6110	164	19	)	)	PUNCT
ejpam-6110	164	20	=	=	SYM
ejpam-6110	164	21	∣∣∣∣∣µa∗(ς̃∗)e	∣∣∣∣∣µa∗(ς̃∗)e	NOUN
ejpam-6110	164	22	−aµa∗	−aµa∗	NOUN
ejpam-6110	164	23	(	(	PUNCT
ejpam-6110	164	24	ς̃∗	ς̃∗	NOUN
ejpam-6110	164	25	)	)	PUNCT
ejpam-6110	165	1	−	−	ADP
ejpam-6110	165	2	µb∗(ς̃∗)e	µb∗(ς̃∗)e	ADJ
ejpam-6110	165	3	−aµb∗	−aµb∗	NOUN
ejpam-6110	165	4	(	(	PUNCT
ejpam-6110	165	5	ς̃∗	ς̃∗	PROPN
ejpam-6110	165	6	)	)	PUNCT
ejpam-6110	165	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6110	165	8	λea∗⊗eb∗	λea∗⊗eb∗	PROPN
ejpam-6110	165	9	(	(	PUNCT
ejpam-6110	165	10	ς̃∗	ς̃∗	PROPN
ejpam-6110	165	11	)	)	PUNCT
ejpam-6110	165	12	=	=	SYM
ejpam-6110	165	13	∣∣∣∣∣λa∗(ς̃∗)e	∣∣∣∣∣λa∗(ς̃∗)e	ADJ
ejpam-6110	165	14	−aλa∗	−aλa∗	NUM
ejpam-6110	165	15	(	(	PUNCT
ejpam-6110	165	16	ς̃∗	ς̃∗	PROPN
ejpam-6110	165	17	)	)	PUNCT
ejpam-6110	165	18	−	−	PROPN
ejpam-6110	165	19	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	165	20	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	165	21	)	)	PUNCT
ejpam-6110	165	22	∣∣∣∣∣.	∣∣∣∣∣.	PRON
ejpam-6110	165	23	example	example	NOUN
ejpam-6110	165	24	5	5	X
ejpam-6110	165	25	.	.	PUNCT
ejpam-6110	165	26	let	let	VERB
ejpam-6110	165	27	ea∗	ea∗	NOUN
ejpam-6110	165	28	=	=	PRON
ejpam-6110	165	29	(	(	PUNCT
ejpam-6110	165	30	0.15e−a0.15	0.15e−a0.15	NOUN
ejpam-6110	165	31	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	165	32	+	+	CCONJ
ejpam-6110	165	33	0.43e−a0.43	0.43e−a0.43	VERB
ejpam-6110	165	34	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	165	35	+	+	CCONJ
ejpam-6110	165	36	0.05e−a0.05	0.05e−a0.05	ADJ
ejpam-6110	165	37	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	165	38	,	,	PUNCT
ejpam-6110	165	39	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	165	40	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	165	41	+	+	CCONJ
ejpam-6110	165	42	0.13e−a0.13	0.13e−a0.13	NUM
ejpam-6110	165	43	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	165	44	+	+	NUM
ejpam-6110	165	45	0.15e−a0.15	0.15e−a0.15	X
ejpam-6110	165	46	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	165	47	)	)	PUNCT
ejpam-6110	165	48	and	and	CCONJ
ejpam-6110	165	49	eb∗	eb∗	NOUN
ejpam-6110	165	50	=	=	SYM
ejpam-6110	165	51	(	(	PUNCT
ejpam-6110	165	52	0.22e−a0.22	0.22e−a0.22	NOUN
ejpam-6110	165	53	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	165	54	+	+	CCONJ
ejpam-6110	165	55	0.82e−a0.82	0.82e−a0.82	NUM
ejpam-6110	165	56	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	165	57	+	+	CCONJ
ejpam-6110	165	58	0.36e−a0.36	0.36e−a0.36	NUM
ejpam-6110	165	59	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	165	60	,	,	PUNCT
ejpam-6110	165	61	0.35e−a0.35	0.35e−a0.35	NOUN
ejpam-6110	165	62	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	165	63	+	+	CCONJ
ejpam-6110	165	64	0.52e−a0.52	0.52e−a0.52	NUM
ejpam-6110	165	65	ς̃∗2	ς̃∗2	NOUN
ejpam-6110	165	66	+	+	CCONJ
ejpam-6110	165	67	0.46e−a0.46	0.46e−a0.46	NUM
ejpam-6110	165	68	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	165	69	)	)	PUNCT
ejpam-6110	165	70	be	be	AUX
ejpam-6110	165	71	two	two	NUM
ejpam-6110	165	72	two	two	NUM
ejpam-6110	165	73	eifss	eifss	NOUN
ejpam-6110	165	74	.	.	PUNCT
ejpam-6110	166	1	using	use	VERB
ejpam-6110	166	2	the	the	DET
ejpam-6110	166	3	max	max	PROPN
ejpam-6110	166	4	function	function	NOUN
ejpam-6110	166	5	for	for	ADP
ejpam-6110	166	6	calculating	calculate	VERB
ejpam-6110	166	7	the	the	DET
ejpam-6110	166	8	phase	phase	NOUN
ejpam-6110	166	9	term	term	NOUN
ejpam-6110	166	10	,	,	PUNCT
ejpam-6110	166	11	the	the	DET
ejpam-6110	166	12	disjoint	disjoint	ADJ
ejpam-6110	166	13	sum	sum	NOUN
ejpam-6110	166	14	of	of	ADP
ejpam-6110	166	15	theses	theses	PROPN
ejpam-6110	166	16	two	two	NUM
ejpam-6110	166	17	two	two	NUM
ejpam-6110	166	18	eifss	eifss	NOUN
ejpam-6110	166	19	is	be	AUX
ejpam-6110	166	20	:	:	PUNCT
ejpam-6110	166	21	µea∗⊗eb∗	µea∗⊗eb∗	PROPN
ejpam-6110	166	22	(	(	PUNCT
ejpam-6110	166	23	ς̃∗	ς̃∗	PROPN
ejpam-6110	166	24	)	)	PUNCT
ejpam-6110	166	25	=	=	SYM
ejpam-6110	166	26	(	(	PUNCT
ejpam-6110	166	27	0.07e−a0.07	0.07e−a0.07	NUM
ejpam-6110	166	28	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	166	29	+	+	CCONJ
ejpam-6110	166	30	0.39e−a0.39	0.39e−a0.39	NOUN
ejpam-6110	166	31	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	166	32	+	+	CCONJ
ejpam-6110	167	1	0.31e−a0.31	0.31e−a0.31	NOUN
ejpam-6110	167	2	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	167	3	)	)	PUNCT
ejpam-6110	167	4	λea∗⊗eb∗	λea∗⊗eb∗	PROPN
ejpam-6110	167	5	(	(	PUNCT
ejpam-6110	167	6	ς̃∗	ς̃∗	PROPN
ejpam-6110	167	7	)	)	PUNCT
ejpam-6110	167	8	=	=	SYM
ejpam-6110	167	9	(	(	PUNCT
ejpam-6110	167	10	0e−a0	0e−a0	NUM
ejpam-6110	167	11	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	167	12	+	+	CCONJ
ejpam-6110	167	13	0.39e−a0.39	0.39e−a0.39	NOUN
ejpam-6110	167	14	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	167	15	+	+	CCONJ
ejpam-6110	167	16	0.31e−a0.31	0.31e−a0.31	NOUN
ejpam-6110	167	17	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	167	18	)	)	PUNCT
ejpam-6110	167	19	.	.	PUNCT
ejpam-6110	168	1	definition	definition	NOUN
ejpam-6110	168	2	17	17	NUM
ejpam-6110	168	3	.	.	PUNCT
ejpam-6110	169	1	let	let	VERB
ejpam-6110	169	2	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	169	3	−aµa∗	−aµa∗	NOUN
ejpam-6110	169	4	(	(	PUNCT
ejpam-6110	169	5	ς̃∗	ς̃∗	NOUN
ejpam-6110	169	6	)	)	PUNCT
ejpam-6110	169	7	,	,	PUNCT
ejpam-6110	169	8	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	169	9	−aµb∗	−aµb∗	ADV
ejpam-6110	169	10	(	(	PUNCT
ejpam-6110	169	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	169	12	)	)	PUNCT
ejpam-6110	169	13	,	,	PUNCT
ejpam-6110	169	14	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	169	15	−aλa∗	−aλa∗	NUM
ejpam-6110	169	16	(	(	PUNCT
ejpam-6110	169	17	ς̃∗	ς̃∗	NOUN
ejpam-6110	169	18	)	)	PUNCT
ejpam-6110	169	19	and	and	CCONJ
ejpam-6110	169	20	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	169	21	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	169	22	)	)	PUNCT
ejpam-6110	169	23	denotes	denote	VERB
ejpam-6110	169	24	the	the	DET
ejpam-6110	169	25	m	m	ADJ
ejpam-6110	169	26	and	and	CCONJ
ejpam-6110	169	27	non	non	ADJ
ejpam-6110	169	28	membership	membership	NOUN
ejpam-6110	169	29	functions	function	NOUN
ejpam-6110	169	30	ea∗	ea∗	NOUN
ejpam-6110	169	31	and	and	CCONJ
ejpam-6110	169	32	eb∗.	eb∗.	PROPN
ejpam-6110	169	33	let	let	VERB
ejpam-6110	169	34	ea∗∆eb∗	ea∗∆eb∗	PROPN
ejpam-6110	169	35	represents	represent	VERB
ejpam-6110	169	36	the	the	DET
ejpam-6110	169	37	disjunctive	disjunctive	ADJ
ejpam-6110	169	38	sum	sum	NOUN
ejpam-6110	169	39	of	of	ADP
ejpam-6110	169	40	eifss	eifss	ADJ
ejpam-6110	169	41	ea∗	ea∗	NOUN
ejpam-6110	169	42	and	and	CCONJ
ejpam-6110	169	43	eb∗	eb∗	NOUN
ejpam-6110	169	44	,	,	PUNCT
ejpam-6110	170	1	as	as	SCONJ
ejpam-6110	170	2	µea∗∆eb∗	µea∗∆eb∗	PROPN
ejpam-6110	170	3	(	(	PUNCT
ejpam-6110	170	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	170	5	)	)	PUNCT
ejpam-6110	170	6	=	=	NOUN
ejpam-6110	170	7	[	[	PUNCT
ejpam-6110	170	8	µea∗∩eb∗	µea∗∩eb∗	ADP
ejpam-6110	170	9	′	′	NUM
ejpam-6110	170	10	(	(	PUNCT
ejpam-6110	170	11	ς̃∗)⊕	ς̃∗)⊕	X
ejpam-6110	170	12	µea∗	µea∗	VERB
ejpam-6110	170	13	′∩eb∗	′∩eb∗	PROPN
ejpam-6110	170	14	(	(	PUNCT
ejpam-6110	170	15	ς̃∗	ς̃∗	PROPN
ejpam-6110	170	16	)	)	PUNCT
ejpam-6110	170	17	]	]	PUNCT
ejpam-6110	171	1	=	=	PUNCT
ejpam-6110	171	2	[	[	PUNCT
ejpam-6110	171	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	171	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	171	5	(	(	PUNCT
ejpam-6110	171	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	171	7	)	)	PUNCT
ejpam-6110	171	8	∗	∗	NOUN
ejpam-6110	171	9	µ′	µ′	NOUN
ejpam-6110	171	10	b∗(ς̃∗)e	b∗(ς̃∗)e	NOUN
ejpam-6110	171	11	−aµ	−aµ	NOUN
ejpam-6110	172	1	′	′	NOUN
ejpam-6110	172	2	b∗	b∗	ADJ
ejpam-6110	172	3	(	(	PUNCT
ejpam-6110	172	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	172	5	)	)	PUNCT
ejpam-6110	172	6	]	]	PUNCT
ejpam-6110	173	1	⊕	⊕	PROPN
ejpam-6110	173	2	[	[	PUNCT
ejpam-6110	173	3	µ	µ	X
ejpam-6110	173	4	′	′	NUM
ejpam-6110	173	5	a∗(ς̃∗)e	a∗(ς̃∗)e	NUM
ejpam-6110	173	6	−aµ	−aµ	PROPN
ejpam-6110	173	7	′	′	NOUN
ejpam-6110	173	8	a∗	a∗	PROPN
ejpam-6110	173	9	(	(	PUNCT
ejpam-6110	173	10	ς̃∗	ς̃∗	NOUN
ejpam-6110	173	11	)	)	PUNCT
ejpam-6110	173	12	∗	∗	NOUN
ejpam-6110	173	13	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	173	14	−aµb∗	−aµb∗	NOUN
ejpam-6110	173	15	(	(	PUNCT
ejpam-6110	173	16	ς̃∗	ς̃∗	PROPN
ejpam-6110	173	17	)	)	PUNCT
ejpam-6110	173	18	]	]	PUNCT
ejpam-6110	173	19	.	.	PUNCT
ejpam-6110	174	1	λea∗∆eb∗	λea∗∆eb∗	INTJ
ejpam-6110	174	2	(	(	PUNCT
ejpam-6110	174	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	174	4	)	)	PUNCT
ejpam-6110	174	5	=	=	PUNCT
ejpam-6110	175	1	[	[	PUNCT
ejpam-6110	175	2	λea∗∪eb∗	λea∗∪eb∗	NUM
ejpam-6110	175	3	′	′	NUM
ejpam-6110	175	4	(	(	PUNCT
ejpam-6110	175	5	ς̃∗	ς̃∗	NOUN
ejpam-6110	175	6	)	)	PUNCT
ejpam-6110	175	7	∗	∗	NOUN
ejpam-6110	175	8	λea∗	λea∗	PROPN
ejpam-6110	175	9	′∪eb∗	′∪eb∗	PROPN
ejpam-6110	175	10	(	(	PUNCT
ejpam-6110	175	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	175	12	)	)	PUNCT
ejpam-6110	175	13	]	]	PUNCT
ejpam-6110	176	1	=	=	PUNCT
ejpam-6110	176	2	[	[	PUNCT
ejpam-6110	176	3	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	176	4	−aλa∗	−aλa∗	PRON
ejpam-6110	176	5	(	(	PUNCT
ejpam-6110	176	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	176	7	)	)	PUNCT
ejpam-6110	176	8	⊕	⊕	PROPN
ejpam-6110	176	9	λ	λ	PROPN
ejpam-6110	176	10	′	′	NUM
ejpam-6110	177	1	b(ς̃∗)e	b(ς̃∗)e	NOUN
ejpam-6110	178	1	−aµ	−aµ	PROPN
ejpam-6110	179	1	′	′	NUM
ejpam-6110	179	2	b∗	b∗	ADJ
ejpam-6110	179	3	(	(	PUNCT
ejpam-6110	179	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	179	5	)	)	PUNCT
ejpam-6110	179	6	]	]	PUNCT
ejpam-6110	180	1	∗	∗	NOUN
ejpam-6110	180	2	[	[	PUNCT
ejpam-6110	180	3	λ	λ	X
ejpam-6110	180	4	′	′	NUM
ejpam-6110	180	5	a∗(ς̃∗)e	a∗(ς̃∗)e	NUM
ejpam-6110	180	6	−aλ	−aλ	NOUN
ejpam-6110	180	7	′	′	NUM
ejpam-6110	180	8	a∗	a∗	PROPN
ejpam-6110	180	9	(	(	PUNCT
ejpam-6110	180	10	ς̃∗	ς̃∗	PROPN
ejpam-6110	180	11	)	)	PUNCT
ejpam-6110	180	12	⊕	⊕	PROPN
ejpam-6110	180	13	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	180	14	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	180	15	)	)	PUNCT
ejpam-6110	180	16	]	]	PUNCT
ejpam-6110	180	17	.	.	PUNCT
ejpam-6110	181	1	example	example	NOUN
ejpam-6110	182	1	6	6	NUM
ejpam-6110	182	2	.	.	PUNCT
ejpam-6110	182	3	suppose	suppose	VERB
ejpam-6110	182	4	ea∗	ea∗	NOUN
ejpam-6110	182	5	=	=	PRON
ejpam-6110	182	6	(	(	PUNCT
ejpam-6110	182	7	0.6e−a0.6	0.6e−a0.6	NUM
ejpam-6110	182	8	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	182	9	+	+	CCONJ
ejpam-6110	182	10	0.7e−a0.7	0.7e−a0.7	VERB
ejpam-6110	182	11	ς̃∗2	ς̃∗2	ADV
ejpam-6110	182	12	+	+	CCONJ
ejpam-6110	182	13	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	182	14	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	182	15	,	,	PUNCT
ejpam-6110	182	16	0.2e	0.2e	ADJ
ejpam-6110	182	17	−a0.2	−a0.2	NOUN
ejpam-6110	182	18	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	182	19	+	+	CCONJ
ejpam-6110	182	20	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	182	21	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	182	22	+	+	CCONJ
ejpam-6110	182	23	0.6e−a0.6	0.6e−a0.6	ADJ
ejpam-6110	182	24	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	182	25	)	)	PUNCT
ejpam-6110	182	26	and	and	CCONJ
ejpam-6110	182	27	eb∗	eb∗	NOUN
ejpam-6110	182	28	=	=	SYM
ejpam-6110	182	29	(	(	PUNCT
ejpam-6110	182	30	0.3e−a0.3	0.3e−a0.3	NUM
ejpam-6110	182	31	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	182	32	+	+	CCONJ
ejpam-6110	182	33	0.4e−a0.4	0.4e−a0.4	NOUN
ejpam-6110	182	34	ς̃∗2	ς̃∗2	ADV
ejpam-6110	182	35	+	+	CCONJ
ejpam-6110	182	36	0.7e−a0.7	0.7e−a0.7	NUM
ejpam-6110	182	37	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	182	38	,	,	PUNCT
ejpam-6110	182	39	0.4e	0.4e	PROPN
ejpam-6110	182	40	−a0.4	−a0.4	NOUN
ejpam-6110	182	41	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	182	42	+	+	CCONJ
ejpam-6110	182	43	0.3e−a0.3	0.3e−a0.3	NUM
ejpam-6110	182	44	ς̃∗2	ς̃∗2	ADV
ejpam-6110	183	1	+	+	CCONJ
ejpam-6110	183	2	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	183	3	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	183	4	)	)	PUNCT
ejpam-6110	183	5	.	.	PUNCT
ejpam-6110	184	1	then	then	ADV
ejpam-6110	184	2	the	the	DET
ejpam-6110	184	3	disjunctive	disjunctive	ADJ
ejpam-6110	184	4	sum	sum	NOUN
ejpam-6110	184	5	of	of	ADP
ejpam-6110	184	6	these	these	DET
ejpam-6110	184	7	two	two	NUM
ejpam-6110	184	8	eifss	eifss	NOUN
ejpam-6110	184	9	is	be	AUX
ejpam-6110	184	10	define	define	VERB
ejpam-6110	184	11	as	as	ADP
ejpam-6110	184	12	µea∗∆eb∗	µea∗∆eb∗	NOUN
ejpam-6110	184	13	(	(	PUNCT
ejpam-6110	184	14	ς̃∗	ς̃∗	PROPN
ejpam-6110	184	15	)	)	PUNCT
ejpam-6110	184	16	=	=	NOUN
ejpam-6110	185	1	[	[	PUNCT
ejpam-6110	185	2	µea∗∩eb∗	µea∗∩eb∗	ADP
ejpam-6110	185	3	′	′	NUM
ejpam-6110	185	4	(	(	PUNCT
ejpam-6110	185	5	ς̃∗)⊕	ς̃∗)⊕	X
ejpam-6110	185	6	µea∗	µea∗	VERB
ejpam-6110	185	7	′∩eb∗	′∩eb∗	PROPN
ejpam-6110	185	8	(	(	PUNCT
ejpam-6110	185	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	185	10	)	)	PUNCT
ejpam-6110	185	11	]	]	PUNCT
ejpam-6110	186	1	=	=	PUNCT
ejpam-6110	186	2	[	[	PUNCT
ejpam-6110	186	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	186	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	186	5	(	(	PUNCT
ejpam-6110	186	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	186	7	)	)	PUNCT
ejpam-6110	186	8	∗	∗	NOUN
ejpam-6110	186	9	µ′	µ′	NOUN
ejpam-6110	186	10	b∗(ς̃∗)e	b∗(ς̃∗)e	NOUN
ejpam-6110	186	11	−aµ	−aµ	NOUN
ejpam-6110	187	1	′	′	NOUN
ejpam-6110	187	2	b∗	b∗	ADJ
ejpam-6110	187	3	(	(	PUNCT
ejpam-6110	187	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	187	5	)	)	PUNCT
ejpam-6110	187	6	]	]	PUNCT
ejpam-6110	188	1	⊕	⊕	PROPN
ejpam-6110	188	2	[	[	PUNCT
ejpam-6110	188	3	µ	µ	X
ejpam-6110	188	4	′	′	NUM
ejpam-6110	188	5	a∗(ς̃∗)e	a∗(ς̃∗)e	NUM
ejpam-6110	188	6	−aµ	−aµ	PROPN
ejpam-6110	188	7	′	′	NOUN
ejpam-6110	188	8	a∗	a∗	PROPN
ejpam-6110	188	9	(	(	PUNCT
ejpam-6110	188	10	ς̃∗	ς̃∗	NOUN
ejpam-6110	188	11	)	)	PUNCT
ejpam-6110	188	12	∗	∗	NOUN
ejpam-6110	188	13	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	188	14	−aµb∗	−aµb∗	NOUN
ejpam-6110	188	15	(	(	PUNCT
ejpam-6110	188	16	ς̃∗	ς̃∗	PROPN
ejpam-6110	188	17	)	)	PUNCT
ejpam-6110	188	18	]	]	PUNCT
ejpam-6110	188	19	.	.	PUNCT
ejpam-6110	189	1	m.	m.	NOUN
ejpam-6110	189	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	189	3	et	et	PROPN
ejpam-6110	189	4	al	al	PROPN
ejpam-6110	189	5	.	.	PUNCT
ejpam-6110	189	6	/	/	SYM
ejpam-6110	189	7	eur	eur	PROPN
ejpam-6110	189	8	.	.	PUNCT
ejpam-6110	190	1	j.	j.	PROPN
ejpam-6110	190	2	pure	pure	PROPN
ejpam-6110	190	3	appl	appl	PROPN
ejpam-6110	190	4	.	.	PROPN
ejpam-6110	190	5	math	math	PROPN
ejpam-6110	190	6	,	,	PUNCT
ejpam-6110	190	7	18	18	NUM
ejpam-6110	190	8	(	(	PUNCT
ejpam-6110	190	9	3	3	NUM
ejpam-6110	190	10	)	)	PUNCT
ejpam-6110	190	11	(	(	PUNCT
ejpam-6110	190	12	2025	2025	NUM
ejpam-6110	190	13	)	)	PUNCT
ejpam-6110	190	14	,	,	PUNCT
ejpam-6110	190	15	6110	6110	NUM
ejpam-6110	190	16	10	10	NUM
ejpam-6110	190	17	of	of	ADP
ejpam-6110	190	18	20	20	NUM
ejpam-6110	190	19	µea∗∆eb∗	µea∗∆eb∗	NOUN
ejpam-6110	190	20	(	(	PUNCT
ejpam-6110	190	21	ς̃∗	ς̃∗	PROPN
ejpam-6110	190	22	)	)	PUNCT
ejpam-6110	190	23	=	=	SYM
ejpam-6110	190	24	(	(	PUNCT
ejpam-6110	190	25	0.6e−a0.6	0.6e−a0.6	NUM
ejpam-6110	190	26	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	190	27	+	+	CCONJ
ejpam-6110	190	28	0.6e−a0.6	0.6e−a0.6	ADJ
ejpam-6110	190	29	ς̃∗2	ς̃∗2	ADV
ejpam-6110	190	30	+	+	CCONJ
ejpam-6110	190	31	0.3e−a0.3	0.3e−a0.3	NUM
ejpam-6110	190	32	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	190	33	)	)	PUNCT
ejpam-6110	191	1	⊕	⊕	PROPN
ejpam-6110	191	2	(	(	PUNCT
ejpam-6110	191	3	0.3e−a0.3	0.3e−a0.3	NUM
ejpam-6110	191	4	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	191	5	+	+	CCONJ
ejpam-6110	191	6	0.3e−a0.3	0.3e−a0.3	NUM
ejpam-6110	191	7	ς̃∗2	ς̃∗2	ADV
ejpam-6110	191	8	+	+	CCONJ
ejpam-6110	191	9	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	191	10	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	191	11	)	)	PUNCT
ejpam-6110	191	12	.	.	PUNCT
ejpam-6110	192	1	µea∗∆eb∗	µea∗∆eb∗	INTJ
ejpam-6110	192	2	(	(	PUNCT
ejpam-6110	192	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	192	4	)	)	PUNCT
ejpam-6110	192	5	=	=	SYM
ejpam-6110	192	6	(	(	PUNCT
ejpam-6110	192	7	0.6e−a0.6	0.6e−a0.6	NUM
ejpam-6110	192	8	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	192	9	+	+	CCONJ
ejpam-6110	192	10	0.6e−a0.6	0.6e−a0.6	ADJ
ejpam-6110	192	11	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	192	12	+	+	CCONJ
ejpam-6110	192	13	0.5e−a0.5	0.5e−a0.5	ADJ
ejpam-6110	192	14	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	192	15	)	)	PUNCT
ejpam-6110	192	16	.	.	PUNCT
ejpam-6110	193	1	λea∗∆eb∗	λea∗∆eb∗	INTJ
ejpam-6110	193	2	(	(	PUNCT
ejpam-6110	193	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	193	4	)	)	PUNCT
ejpam-6110	193	5	=	=	PUNCT
ejpam-6110	194	1	[	[	PUNCT
ejpam-6110	194	2	λea∗∪eb∗	λea∗∪eb∗	NUM
ejpam-6110	194	3	′	′	NUM
ejpam-6110	194	4	(	(	PUNCT
ejpam-6110	194	5	ς̃∗	ς̃∗	NOUN
ejpam-6110	194	6	)	)	PUNCT
ejpam-6110	194	7	∗	∗	NOUN
ejpam-6110	194	8	λea∗	λea∗	PROPN
ejpam-6110	194	9	′∪eb∗	′∪eb∗	PROPN
ejpam-6110	194	10	(	(	PUNCT
ejpam-6110	194	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	194	12	)	)	PUNCT
ejpam-6110	194	13	]	]	PUNCT
ejpam-6110	195	1	=	=	PUNCT
ejpam-6110	195	2	[	[	PUNCT
ejpam-6110	195	3	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	195	4	−aλa∗	−aλa∗	PRON
ejpam-6110	195	5	(	(	PUNCT
ejpam-6110	195	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	195	7	)	)	PUNCT
ejpam-6110	195	8	⊕	⊕	PROPN
ejpam-6110	195	9	λ	λ	PROPN
ejpam-6110	195	10	′	′	NUM
ejpam-6110	196	1	b(ς̃∗)e	b(ς̃∗)e	NOUN
ejpam-6110	197	1	−aµ	−aµ	PROPN
ejpam-6110	198	1	′	′	NUM
ejpam-6110	198	2	b∗	b∗	ADJ
ejpam-6110	198	3	(	(	PUNCT
ejpam-6110	198	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	198	5	)	)	PUNCT
ejpam-6110	198	6	]	]	PUNCT
ejpam-6110	199	1	∗	∗	NOUN
ejpam-6110	199	2	[	[	PUNCT
ejpam-6110	199	3	λ	λ	X
ejpam-6110	199	4	′	′	NUM
ejpam-6110	199	5	a∗(ς̃∗)e	a∗(ς̃∗)e	NUM
ejpam-6110	199	6	−aλ	−aλ	NOUN
ejpam-6110	199	7	′	′	NUM
ejpam-6110	199	8	a∗	a∗	PROPN
ejpam-6110	199	9	(	(	PUNCT
ejpam-6110	199	10	ς̃∗	ς̃∗	PROPN
ejpam-6110	199	11	)	)	PUNCT
ejpam-6110	199	12	⊕	⊕	PROPN
ejpam-6110	199	13	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	199	14	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	199	15	)	)	PUNCT
ejpam-6110	199	16	]	]	PUNCT
ejpam-6110	199	17	.	.	PUNCT
ejpam-6110	200	1	λea∗∆eb∗	λea∗∆eb∗	INTJ
ejpam-6110	200	2	(	(	PUNCT
ejpam-6110	200	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	200	4	)	)	PUNCT
ejpam-6110	200	5	=	=	PUNCT
ejpam-6110	201	1	(	(	PUNCT
ejpam-6110	201	2	0.7e−a0.7	0.7e−a0.7	VERB
ejpam-6110	201	3	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	201	4	+	+	CCONJ
ejpam-6110	201	5	0.7e−a0.7	0.7e−a0.7	VERB
ejpam-6110	201	6	ς̃∗2	ς̃∗2	ADV
ejpam-6110	201	7	+	+	CCONJ
ejpam-6110	201	8	0.5e−a0.5	0.5e−a0.5	ADJ
ejpam-6110	201	9	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	201	10	)	)	PUNCT
ejpam-6110	201	11	⊕	⊕	PROPN
ejpam-6110	201	12	(	(	PUNCT
ejpam-6110	201	13	0.8e−a0.8	0.8e−a0.8	NOUN
ejpam-6110	201	14	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	201	15	+	+	CCONJ
ejpam-6110	201	16	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	201	17	ς̃∗2	ς̃∗2	NOUN
ejpam-6110	201	18	+	+	PROPN
ejpam-6110	201	19	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	201	20	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	201	21	)	)	PUNCT
ejpam-6110	201	22	.	.	PUNCT
ejpam-6110	202	1	λea∗∆eb∗	λea∗∆eb∗	INTJ
ejpam-6110	202	2	(	(	PUNCT
ejpam-6110	202	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	202	4	)	)	PUNCT
ejpam-6110	202	5	=	=	PUNCT
ejpam-6110	202	6	(	(	PUNCT
ejpam-6110	202	7	0.7e−a0.7	0.7e−a0.7	VERB
ejpam-6110	202	8	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	202	9	+	+	CCONJ
ejpam-6110	202	10	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	202	11	ς̃∗2	ς̃∗2	NOUN
ejpam-6110	202	12	+	+	PROPN
ejpam-6110	202	13	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	202	14	ς̃∗3	ς̃∗3	NOUN
ejpam-6110	202	15	)	)	PUNCT
ejpam-6110	202	16	.	.	PUNCT
ejpam-6110	203	1	definition	definition	NOUN
ejpam-6110	203	2	18	18	NUM
ejpam-6110	203	3	.	.	PUNCT
ejpam-6110	203	4	consider	consider	VERB
ejpam-6110	203	5	two	two	NUM
ejpam-6110	203	6	eifss	eifss	ADJ
ejpam-6110	203	7	ea∗	ea∗	NOUN
ejpam-6110	203	8	=	=	SYM
ejpam-6110	203	9	⟨µea∗	⟨µea∗	PROPN
ejpam-6110	203	10	,	,	PUNCT
ejpam-6110	203	11	λea∗	λea∗	PROPN
ejpam-6110	203	12	⟩	⟩	PROPN
ejpam-6110	203	13	and	and	CCONJ
ejpam-6110	203	14	eb∗	eb∗	NOUN
ejpam-6110	204	1	=	=	SYM
ejpam-6110	204	2	⟨µeb∗	⟨µeb∗	NOUN
ejpam-6110	204	3	,	,	PUNCT
ejpam-6110	204	4	λeb∗	λeb∗	ADJ
ejpam-6110	204	5	⟩	⟩	NOUN
ejpam-6110	204	6	,	,	PUNCT
ejpam-6110	204	7	where	where	SCONJ
ejpam-6110	204	8	µea∗	µea∗	NOUN
ejpam-6110	204	9	(	(	PUNCT
ejpam-6110	204	10	ς̃∗	ς̃∗	NOUN
ejpam-6110	204	11	)	)	PUNCT
ejpam-6110	204	12	=	=	SYM
ejpam-6110	204	13	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	204	14	−aµa∗	−aµa∗	NOUN
ejpam-6110	204	15	(	(	PUNCT
ejpam-6110	204	16	ς̃∗	ς̃∗	NOUN
ejpam-6110	204	17	)	)	PUNCT
ejpam-6110	204	18	,	,	PUNCT
ejpam-6110	204	19	λea∗	λea∗	PROPN
ejpam-6110	204	20	(	(	PUNCT
ejpam-6110	204	21	ς̃∗	ς̃∗	PROPN
ejpam-6110	204	22	)	)	PUNCT
ejpam-6110	204	23	=	=	VERB
ejpam-6110	204	24	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	204	25	−aλa∗	−aλa∗	NUM
ejpam-6110	204	26	(	(	PUNCT
ejpam-6110	204	27	ς̃∗	ς̃∗	NOUN
ejpam-6110	204	28	)	)	PUNCT
ejpam-6110	204	29	µeb∗	µeb∗	NOUN
ejpam-6110	204	30	(	(	PUNCT
ejpam-6110	204	31	ς̃∗	ς̃∗	PROPN
ejpam-6110	204	32	)	)	PUNCT
ejpam-6110	204	33	=	=	SYM
ejpam-6110	204	34	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	204	35	−aµb∗	−aµb∗	NOUN
ejpam-6110	204	36	(	(	PUNCT
ejpam-6110	204	37	ς̃∗	ς̃∗	NOUN
ejpam-6110	204	38	)	)	PUNCT
ejpam-6110	204	39	,	,	PUNCT
ejpam-6110	204	40	λeb∗	λeb∗	PROPN
ejpam-6110	204	41	(	(	PUNCT
ejpam-6110	204	42	ς̃∗	ς̃∗	PROPN
ejpam-6110	204	43	)	)	PUNCT
ejpam-6110	204	44	=	=	PUNCT
ejpam-6110	204	45	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	204	46	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	204	47	)	)	PUNCT
ejpam-6110	204	48	the	the	DET
ejpam-6110	204	49	cartesian	cartesian	ADJ
ejpam-6110	204	50	product	product	NOUN
ejpam-6110	204	51	of	of	ADP
ejpam-6110	204	52	ea∗	ea∗	NOUN
ejpam-6110	204	53	and	and	CCONJ
ejpam-6110	204	54	eb∗	eb∗	NOUN
ejpam-6110	204	55	is	be	AUX
ejpam-6110	204	56	given	give	VERB
ejpam-6110	204	57	by	by	ADP
ejpam-6110	204	58	:	:	PUNCT
ejpam-6110	204	59	ea∗	ea∗	NOUN
ejpam-6110	204	60	×	×	NOUN
ejpam-6110	204	61	eb∗	eb∗	NOUN
ejpam-6110	204	62	=	=	SYM
ejpam-6110	204	63	{	{	PUNCT
ejpam-6110	204	64	(	(	PUNCT
ejpam-6110	204	65	(	(	PUNCT
ejpam-6110	204	66	x	x	NOUN
ejpam-6110	204	67	,	,	PUNCT
ejpam-6110	204	68	y	y	PROPN
ejpam-6110	204	69	)	)	PUNCT
ejpam-6110	204	70	,	,	PUNCT
ejpam-6110	204	71	µea∗×eb∗	µea∗×eb∗	PROPN
ejpam-6110	204	72	(	(	PUNCT
ejpam-6110	204	73	x	x	X
ejpam-6110	204	74	,	,	PUNCT
ejpam-6110	204	75	y	y	PROPN
ejpam-6110	204	76	)	)	PUNCT
ejpam-6110	204	77	,	,	PUNCT
ejpam-6110	204	78	λea∗×eb∗	λea∗×eb∗	PROPN
ejpam-6110	204	79	(	(	PUNCT
ejpam-6110	204	80	x	x	X
ejpam-6110	204	81	,	,	PUNCT
ejpam-6110	204	82	y	y	PROPN
ejpam-6110	204	83	)	)	PUNCT
ejpam-6110	204	84	)	)	PUNCT
ejpam-6110	205	1	|	|	ADV
ejpam-6110	205	2	x	x	SYM
ejpam-6110	205	3	∈	∈	PROPN
ejpam-6110	205	4	a	a	X
ejpam-6110	205	5	,	,	PUNCT
ejpam-6110	205	6	y	y	PROPN
ejpam-6110	205	7	∈	∈	PROPN
ejpam-6110	205	8	b	b	PROPN
ejpam-6110	205	9	}	}	PUNCT
ejpam-6110	205	10	where	where	SCONJ
ejpam-6110	205	11	µea∗×eb∗	µea∗×eb∗	PRON
ejpam-6110	205	12	(	(	PUNCT
ejpam-6110	205	13	x	x	X
ejpam-6110	205	14	,	,	PUNCT
ejpam-6110	205	15	y	y	NOUN
ejpam-6110	205	16	)	)	PUNCT
ejpam-6110	205	17	=	=	SYM
ejpam-6110	206	1	∧	∧	NOUN
ejpam-6110	206	2	(	(	PUNCT
ejpam-6110	206	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	206	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	206	5	(	(	PUNCT
ejpam-6110	206	6	ς̃∗	ς̃∗	NOUN
ejpam-6110	206	7	)	)	PUNCT
ejpam-6110	206	8	,	,	PUNCT
ejpam-6110	206	9	µb∗(y)e	µb∗(y)e	PROPN
ejpam-6110	206	10	−aµb∗	−aµb∗	NOUN
ejpam-6110	206	11	(	(	PUNCT
ejpam-6110	206	12	y	y	NOUN
ejpam-6110	206	13	)	)	PUNCT
ejpam-6110	206	14	)	)	PUNCT
ejpam-6110	207	1	λea∗×eb∗	λea∗×eb∗	PROPN
ejpam-6110	207	2	(	(	PUNCT
ejpam-6110	207	3	x	x	X
ejpam-6110	207	4	,	,	PUNCT
ejpam-6110	207	5	y	y	NOUN
ejpam-6110	207	6	)	)	PUNCT
ejpam-6110	207	7	=	=	SYM
ejpam-6110	207	8	∨	∨	PROPN
ejpam-6110	207	9	(	(	PUNCT
ejpam-6110	207	10	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	207	11	−aλa∗	−aλa∗	PRON
ejpam-6110	207	12	(	(	PUNCT
ejpam-6110	207	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	207	14	)	)	PUNCT
ejpam-6110	207	15	,	,	PUNCT
ejpam-6110	207	16	λb(y)e	λb(y)e	PRON
ejpam-6110	207	17	−aλb(y	−aλb(y	PROPN
ejpam-6110	207	18	)	)	PUNCT
ejpam-6110	207	19	)	)	PUNCT
ejpam-6110	208	1	thus	thus	ADV
ejpam-6110	208	2	,	,	PUNCT
ejpam-6110	208	3	the	the	DET
ejpam-6110	208	4	cartesian	cartesian	ADJ
ejpam-6110	208	5	product	product	NOUN
ejpam-6110	208	6	ea∗	ea∗	NOUN
ejpam-6110	208	7	×eb∗	×eb∗	PROPN
ejpam-6110	208	8	forms	form	VERB
ejpam-6110	208	9	an	an	DET
ejpam-6110	208	10	eifs	eif	NOUN
ejpam-6110	208	11	with	with	ADP
ejpam-6110	208	12	these	these	DET
ejpam-6110	208	13	m	m	NOUN
ejpam-6110	208	14	and	and	CCONJ
ejpam-6110	208	15	nmfunctions	nmfunction	NOUN
ejpam-6110	208	16	.	.	PUNCT
ejpam-6110	208	17	example	example	NOUN
ejpam-6110	209	1	7	7	NUM
ejpam-6110	209	2	.	.	PUNCT
ejpam-6110	210	1	let	let	VERB
ejpam-6110	210	2	the	the	DET
ejpam-6110	210	3	exponential	exponential	ADJ
ejpam-6110	210	4	parameter	parameter	NOUN
ejpam-6110	210	5	be	be	AUX
ejpam-6110	210	6	a	a	DET
ejpam-6110	210	7	=	=	ADJ
ejpam-6110	210	8	1	1	NUM
ejpam-6110	210	9	,	,	PUNCT
ejpam-6110	210	10	ea∗	ea∗	NOUN
ejpam-6110	210	11	=	=	CCONJ
ejpam-6110	210	12	(	(	PUNCT
ejpam-6110	210	13	0.8e−a0.8	0.8e−a0.8	NOUN
ejpam-6110	210	14	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	210	15	+	+	CCONJ
ejpam-6110	210	16	0.6e−a0.6	0.6e−a0.6	ADJ
ejpam-6110	210	17	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	210	18	,	,	PUNCT
ejpam-6110	210	19	0.3e	0.3e	NOUN
ejpam-6110	210	20	−a0.3	−a0.3	PRON
ejpam-6110	210	21	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	210	22	+	+	CCONJ
ejpam-6110	210	23	0.4e−a0.4	0.4e−a0.4	NOUN
ejpam-6110	210	24	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	210	25	)	)	PUNCT
ejpam-6110	210	26	and	and	CCONJ
ejpam-6110	210	27	eb∗	eb∗	NOUN
ejpam-6110	211	1	=	=	SYM
ejpam-6110	211	2	(	(	PUNCT
ejpam-6110	211	3	0.7e−a0.7	0.7e−a0.7	VERB
ejpam-6110	211	4	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	211	5	+	+	CCONJ
ejpam-6110	212	1	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	212	2	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	212	3	,	,	PUNCT
ejpam-6110	212	4	0.2e	0.2e	NOUN
ejpam-6110	212	5	−a0.2	−a0.2	NOUN
ejpam-6110	212	6	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	212	7	+	+	CCONJ
ejpam-6110	212	8	0.5e−a0.5	0.5e−a0.5	NUM
ejpam-6110	212	9	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	212	10	)	)	PUNCT
ejpam-6110	212	11	.	.	PUNCT
ejpam-6110	213	1	then	then	ADV
ejpam-6110	213	2	the	the	DET
ejpam-6110	213	3	cartesian	cartesian	ADJ
ejpam-6110	213	4	product	product	NOUN
ejpam-6110	213	5	ea∗	ea∗	NOUN
ejpam-6110	213	6	×	×	NOUN
ejpam-6110	213	7	eb∗	eb∗	NOUN
ejpam-6110	213	8	is	be	AUX
ejpam-6110	213	9	ea	ea	NUM
ejpam-6110	213	10	×	×	PROPN
ejpam-6110	213	11	eb	eb	PROPN
ejpam-6110	213	12	=	=	SYM
ejpam-6110	213	13			X
ejpam-6110	213	14	(	(	PUNCT
ejpam-6110	213	15	(	(	PUNCT
ejpam-6110	213	16	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	213	17	,	,	PUNCT
ejpam-6110	213	18	d1	d1	NOUN
ejpam-6110	213	19	)	)	PUNCT
ejpam-6110	213	20	,	,	PUNCT
ejpam-6110	213	21	0.3476	0.3476	NUM
ejpam-6110	213	22	,	,	PUNCT
ejpam-6110	213	23	0.2222	0.2222	NUM
ejpam-6110	213	24	)	)	PUNCT
ejpam-6110	213	25	,	,	PUNCT
ejpam-6110	213	26	(	(	PUNCT
ejpam-6110	213	27	(	(	PUNCT
ejpam-6110	213	28	ς̃∗1	ς̃∗1	NOUN
ejpam-6110	213	29	,	,	PUNCT
ejpam-6110	213	30	d2	d2	PROPN
ejpam-6110	213	31	)	)	PUNCT
ejpam-6110	213	32	,	,	PUNCT
ejpam-6110	213	33	0.3033	0.3033	NUM
ejpam-6110	213	34	,	,	PUNCT
ejpam-6110	213	35	0.3033	0.3033	NUM
ejpam-6110	213	36	)	)	PUNCT
ejpam-6110	213	37	,	,	PUNCT
ejpam-6110	213	38	(	(	PUNCT
ejpam-6110	213	39	(	(	PUNCT
ejpam-6110	213	40	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	213	41	,	,	PUNCT
ejpam-6110	213	42	d1	d1	PROPN
ejpam-6110	213	43	)	)	PUNCT
ejpam-6110	213	44	,	,	PUNCT
ejpam-6110	213	45	0.3293	0.3293	NUM
ejpam-6110	213	46	,	,	PUNCT
ejpam-6110	213	47	0.2681	0.2681	NUM
ejpam-6110	213	48	)	)	PUNCT
ejpam-6110	213	49	,	,	PUNCT
ejpam-6110	213	50	(	(	PUNCT
ejpam-6110	213	51	(	(	PUNCT
ejpam-6110	213	52	ς̃∗2	ς̃∗2	ADJ
ejpam-6110	213	53	,	,	PUNCT
ejpam-6110	213	54	d2	d2	PROPN
ejpam-6110	213	55	)	)	PUNCT
ejpam-6110	213	56	,	,	PUNCT
ejpam-6110	213	57	0.3033	0.3033	NUM
ejpam-6110	213	58	,	,	PUNCT
ejpam-6110	213	59	0.3033	0.3033	NUM
ejpam-6110	213	60	)	)	PUNCT
ejpam-6110	213	61			PROPN
ejpam-6110	213	62	definition	definition	NOUN
ejpam-6110	213	63	19	19	NUM
ejpam-6110	213	64	.	.	PUNCT
ejpam-6110	214	1	a	a	DET
ejpam-6110	214	2	quasi	quasi	ADJ
ejpam-6110	214	3	-	-	ADJ
ejpam-6110	214	4	triangular	triangular	ADJ
ejpam-6110	214	5	norm	norm	NOUN
ejpam-6110	214	6	t	t	NOUN
ejpam-6110	214	7	for	for	ADP
ejpam-6110	214	8	eifs	eifs	PROPN
ejpam-6110	214	9	is	be	AUX
ejpam-6110	214	10	a	a	DET
ejpam-6110	214	11	function	function	NOUN
ejpam-6110	214	12	:	:	PUNCT
ejpam-6110	214	13	t	t	NOUN
ejpam-6110	214	14	:	:	PUNCT
ejpam-6110	214	15	(	(	PUNCT
ejpam-6110	214	16	0	0	NUM
ejpam-6110	214	17	,	,	PUNCT
ejpam-6110	214	18	1]×	1]×	NUM
ejpam-6110	214	19	(	(	PUNCT
ejpam-6110	214	20	0	0	NUM
ejpam-6110	214	21	,	,	PUNCT
ejpam-6110	214	22	1	1	NUM
ejpam-6110	214	23	]	]	PUNCT
ejpam-6110	214	24	→	→	PUNCT
ejpam-6110	214	25	[	[	X
ejpam-6110	214	26	0	0	NUM
ejpam-6110	214	27	,	,	PUNCT
ejpam-6110	214	28	1	1	NUM
ejpam-6110	214	29	]	]	PUNCT
ejpam-6110	214	30	,	,	PUNCT
ejpam-6110	214	31	satisfying	satisfy	VERB
ejpam-6110	214	32	the	the	DET
ejpam-6110	214	33	following	follow	VERB
ejpam-6110	214	34	conditions	condition	NOUN
ejpam-6110	214	35	:	:	PUNCT
ejpam-6110	214	36	(	(	PUNCT
ejpam-6110	214	37	i	i	NOUN
ejpam-6110	214	38	)	)	PUNCT
ejpam-6110	214	39	boundary	boundary	ADJ
ejpam-6110	214	40	condition	condition	NOUN
ejpam-6110	214	41	:	:	PUNCT
ejpam-6110	215	1	t(1	t(1	NOUN
ejpam-6110	215	2	,	,	PUNCT
ejpam-6110	215	3	1	1	NUM
ejpam-6110	215	4	)	)	PUNCT
ejpam-6110	215	5	=	=	SYM
ejpam-6110	215	6	1	1	X
ejpam-6110	215	7	.	.	PUNCT
ejpam-6110	215	8	(	(	PUNCT
ejpam-6110	215	9	ii	ii	NOUN
ejpam-6110	215	10	)	)	PUNCT
ejpam-6110	215	11	commutativity	commutativity	NOUN
ejpam-6110	215	12	:	:	PUNCT
ejpam-6110	215	13	t(ρ	t(ρ	NOUN
ejpam-6110	215	14	,	,	PUNCT
ejpam-6110	215	15	ρ′	ρ′	NUM
ejpam-6110	215	16	)	)	PUNCT
ejpam-6110	215	17	=	=	SYM
ejpam-6110	215	18	t(ρ′	t(ρ′	PROPN
ejpam-6110	215	19	,	,	PUNCT
ejpam-6110	215	20	ρ	ρ	NOUN
ejpam-6110	215	21	)	)	PUNCT
ejpam-6110	215	22	.	.	PUNCT
ejpam-6110	216	1	m.	m.	NOUN
ejpam-6110	216	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	216	3	et	et	PROPN
ejpam-6110	216	4	al	al	PROPN
ejpam-6110	216	5	.	.	PUNCT
ejpam-6110	216	6	/	/	SYM
ejpam-6110	216	7	eur	eur	PROPN
ejpam-6110	216	8	.	.	PUNCT
ejpam-6110	217	1	j.	j.	PROPN
ejpam-6110	217	2	pure	pure	PROPN
ejpam-6110	217	3	appl	appl	PROPN
ejpam-6110	217	4	.	.	PROPN
ejpam-6110	217	5	math	math	PROPN
ejpam-6110	217	6	,	,	PUNCT
ejpam-6110	217	7	18	18	NUM
ejpam-6110	217	8	(	(	PUNCT
ejpam-6110	217	9	3	3	NUM
ejpam-6110	217	10	)	)	PUNCT
ejpam-6110	217	11	(	(	PUNCT
ejpam-6110	217	12	2025	2025	NUM
ejpam-6110	217	13	)	)	PUNCT
ejpam-6110	217	14	,	,	PUNCT
ejpam-6110	217	15	6110	6110	NUM
ejpam-6110	217	16	11	11	NUM
ejpam-6110	217	17	of	of	ADP
ejpam-6110	217	18	20	20	NUM
ejpam-6110	217	19	(	(	PUNCT
ejpam-6110	217	20	iii	iii	NOUN
ejpam-6110	217	21	)	)	PUNCT
ejpam-6110	217	22	monotonicity	monotonicity	NOUN
ejpam-6110	217	23	:	:	PUNCT
ejpam-6110	217	24	if	if	SCONJ
ejpam-6110	217	25	ρ	ρ	NOUN
ejpam-6110	217	26	≤	≤	NOUN
ejpam-6110	217	27	ρ′′	ρ′′	NOUN
ejpam-6110	217	28	and	and	CCONJ
ejpam-6110	217	29	ρ′	ρ′	PUNCT
ejpam-6110	217	30	≤	≤	X
ejpam-6110	217	31	ρ′′′	ρ′′′	NOUN
ejpam-6110	217	32	,	,	PUNCT
ejpam-6110	217	33	then	then	ADV
ejpam-6110	217	34	:	:	PUNCT
ejpam-6110	217	35	t(ρ	t(ρ	NOUN
ejpam-6110	217	36	,	,	PUNCT
ejpam-6110	217	37	ρ′	ρ′	NUM
ejpam-6110	217	38	)	)	PUNCT
ejpam-6110	217	39	≤	≤	NOUN
ejpam-6110	217	40	t(ρ′′	t(ρ′′	NOUN
ejpam-6110	217	41	,	,	PUNCT
ejpam-6110	217	42	ρ′′′	ρ′′′	NOUN
ejpam-6110	217	43	)	)	PUNCT
ejpam-6110	217	44	.	.	PUNCT
ejpam-6110	218	1	(	(	PUNCT
ejpam-6110	218	2	iv	iv	X
ejpam-6110	218	3	)	)	PUNCT
ejpam-6110	218	4	associativity	associativity	NOUN
ejpam-6110	218	5	:	:	PUNCT
ejpam-6110	218	6	t(t(ρ	t(t(ρ	PROPN
ejpam-6110	218	7	,	,	PUNCT
ejpam-6110	218	8	ρ′	ρ′	NUM
ejpam-6110	218	9	)	)	PUNCT
ejpam-6110	218	10	,	,	PUNCT
ejpam-6110	218	11	ρ′′	ρ′′	NOUN
ejpam-6110	218	12	)	)	PUNCT
ejpam-6110	218	13	=	=	SYM
ejpam-6110	219	1	t(ρ	t(ρ	NOUN
ejpam-6110	219	2	,	,	PUNCT
ejpam-6110	219	3	t(ρ′	t(ρ′	NUM
ejpam-6110	219	4	,	,	PUNCT
ejpam-6110	219	5	ρ′′	ρ′′	NOUN
ejpam-6110	219	6	)	)	PUNCT
ejpam-6110	219	7	)	)	PUNCT
ejpam-6110	219	8	.	.	PUNCT
ejpam-6110	220	1	theorem	theorem	NOUN
ejpam-6110	220	2	1	1	NUM
ejpam-6110	220	3	.	.	X
ejpam-6110	221	1	for	for	ADP
ejpam-6110	221	2	any	any	DET
ejpam-6110	221	3	three	three	NUM
ejpam-6110	221	4	eifss	eifss	ADJ
ejpam-6110	221	5	ea∗	ea∗	NOUN
ejpam-6110	221	6	=	=	SYM
ejpam-6110	221	7	⟨µea∗	⟨µea∗	PROPN
ejpam-6110	221	8	,	,	PUNCT
ejpam-6110	221	9	λea∗	λea∗	PROPN
ejpam-6110	221	10	⟩	⟩	NOUN
ejpam-6110	221	11	,	,	PUNCT
ejpam-6110	221	12	eb∗	eb∗	NOUN
ejpam-6110	222	1	=	=	SYM
ejpam-6110	222	2	⟨µeb∗	⟨µeb∗	NOUN
ejpam-6110	222	3	,	,	PUNCT
ejpam-6110	222	4	λeb∗	λeb∗	ADJ
ejpam-6110	222	5	⟩	⟩	PROPN
ejpam-6110	222	6	and	and	CCONJ
ejpam-6110	222	7	ec	ec	PROPN
ejpam-6110	222	8	=	=	SYM
ejpam-6110	222	9	⟨µec	⟨µec	PROPN
ejpam-6110	222	10	,	,	PUNCT
ejpam-6110	222	11	λec⟩	λec⟩	NOUN
ejpam-6110	222	12	on	on	ADP
ejpam-6110	222	13	a	a	DET
ejpam-6110	222	14	universe	universe	NOUN
ejpam-6110	222	15	of	of	ADP
ejpam-6110	222	16	discourse	discourse	NOUN
ejpam-6110	222	17	x	x	PUNCT
ejpam-6110	222	18	satisfy	satisfy	VERB
ejpam-6110	222	19	the	the	DET
ejpam-6110	222	20	following	follow	VERB
ejpam-6110	222	21	i.	i.	PROPN
ejpam-6110	222	22	ea∗	ea∗	NOUN
ejpam-6110	222	23	∩	∩	PROPN
ejpam-6110	222	24	eb∗	eb∗	CCONJ
ejpam-6110	222	25	=	=	SYM
ejpam-6110	222	26	eb∗	eb∗	NOUN
ejpam-6110	222	27	∩	∩	ADJ
ejpam-6110	222	28	ea∗	ea∗	NOUN
ejpam-6110	222	29	and	and	CCONJ
ejpam-6110	222	30	ea∗	ea∗	NOUN
ejpam-6110	222	31	∪	∪	NOUN
ejpam-6110	222	32	eb∗	eb∗	NOUN
ejpam-6110	222	33	=	=	SYM
ejpam-6110	222	34	eb∗	eb∗	ADP
ejpam-6110	222	35	∪	∪	PROPN
ejpam-6110	222	36	ea∗	ea∗	PROPN
ejpam-6110	222	37	ii	ii	PROPN
ejpam-6110	222	38	.	.	PUNCT
ejpam-6110	223	1	ea∗	ea∗	NOUN
ejpam-6110	223	2	∩	∩	NOUN
ejpam-6110	223	3	(	(	PUNCT
ejpam-6110	223	4	eb∗	eb∗	PROPN
ejpam-6110	223	5	∩	∩	ADJ
ejpam-6110	223	6	ec	ec	PROPN
ejpam-6110	223	7	)	)	PUNCT
ejpam-6110	223	8	=	=	PUNCT
ejpam-6110	223	9	(	(	PUNCT
ejpam-6110	223	10	ea∗	ea∗	NOUN
ejpam-6110	223	11	∩	∩	ADJ
ejpam-6110	223	12	eb∗	eb∗	NOUN
ejpam-6110	223	13	)	)	PUNCT
ejpam-6110	223	14	∩	∩	NOUN
ejpam-6110	223	15	ec	ec	PROPN
ejpam-6110	223	16	and	and	CCONJ
ejpam-6110	223	17	ea∗	ea∗	NOUN
ejpam-6110	223	18	∪	∪	NOUN
ejpam-6110	223	19	(	(	PUNCT
ejpam-6110	223	20	eb∗	eb∗	ADP
ejpam-6110	223	21	∪	∪	PROPN
ejpam-6110	223	22	ec	ec	PROPN
ejpam-6110	223	23	)	)	PUNCT
ejpam-6110	223	24	=	=	PUNCT
ejpam-6110	224	1	(	(	PUNCT
ejpam-6110	224	2	ea∗	ea∗	NOUN
ejpam-6110	224	3	∪	∪	ADP
ejpam-6110	224	4	eb∗	eb∗	NOUN
ejpam-6110	224	5	)	)	PUNCT
ejpam-6110	224	6	∪	∪	ADP
ejpam-6110	224	7	ec	ec	PROPN
ejpam-6110	224	8	proof	proof	NOUN
ejpam-6110	224	9	.	.	PUNCT
ejpam-6110	225	1	i.	i.	PROPN
ejpam-6110	225	2	let	let	VERB
ejpam-6110	225	3	ea∗	ea∗	NOUN
ejpam-6110	225	4	and	and	CCONJ
ejpam-6110	225	5	eb∗	eb∗	ADV
ejpam-6110	225	6	be	be	AUX
ejpam-6110	225	7	two	two	NUM
ejpam-6110	225	8	eifss	eifss	ADJ
ejpam-6110	225	9	and	and	CCONJ
ejpam-6110	225	10	µea∗	µea∗	NOUN
ejpam-6110	225	11	(	(	PUNCT
ejpam-6110	225	12	ς̃∗	ς̃∗	NOUN
ejpam-6110	225	13	)	)	PUNCT
ejpam-6110	225	14	=	=	SYM
ejpam-6110	226	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	226	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	226	3	(	(	PUNCT
ejpam-6110	226	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	226	5	)	)	PUNCT
ejpam-6110	226	6	,	,	PUNCT
ejpam-6110	226	7	µeb∗	µeb∗	PROPN
ejpam-6110	226	8	(	(	PUNCT
ejpam-6110	226	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	226	10	)	)	PUNCT
ejpam-6110	226	11	=	=	SYM
ejpam-6110	226	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	226	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	226	14	(	(	PUNCT
ejpam-6110	226	15	ς̃∗	ς̃∗	PROPN
ejpam-6110	226	16	)	)	PUNCT
ejpam-6110	226	17	λea∗	λea∗	NOUN
ejpam-6110	226	18	(	(	PUNCT
ejpam-6110	226	19	ς̃∗	ς̃∗	PROPN
ejpam-6110	226	20	)	)	PUNCT
ejpam-6110	226	21	=	=	VERB
ejpam-6110	226	22	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	226	23	−aλa∗	−aλa∗	NUM
ejpam-6110	226	24	(	(	PUNCT
ejpam-6110	226	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	226	26	)	)	PUNCT
ejpam-6110	226	27	,	,	PUNCT
ejpam-6110	226	28	and	and	CCONJ
ejpam-6110	226	29	λeb∗	λeb∗	PROPN
ejpam-6110	226	30	(	(	PUNCT
ejpam-6110	226	31	ς̃∗	ς̃∗	PROPN
ejpam-6110	226	32	)	)	PUNCT
ejpam-6110	226	33	=	=	SYM
ejpam-6110	226	34	λb(ς̃∗)e	λb(ς̃∗)e	VERB
ejpam-6110	226	35	−aλb(ς̃∗),and	−aλb(ς̃∗),and	NOUN
ejpam-6110	226	36	represent	represent	VERB
ejpam-6110	226	37	their	their	PRON
ejpam-6110	226	38	m	m	ADJ
ejpam-6110	226	39	and	and	CCONJ
ejpam-6110	226	40	non	non	ADJ
ejpam-6110	226	41	membership	membership	NOUN
ejpam-6110	226	42	function	function	NOUN
ejpam-6110	226	43	,	,	PUNCT
ejpam-6110	226	44	respectively	respectively	ADV
ejpam-6110	226	45	.	.	PUNCT
ejpam-6110	227	1	ea∗	ea∗	NOUN
ejpam-6110	227	2	∩	∩	NOUN
ejpam-6110	227	3	eb∗	eb∗	NOUN
ejpam-6110	227	4	=	=	SYM
ejpam-6110	227	5	ea∗(ς̃∗	ea∗(ς̃∗	ADJ
ejpam-6110	227	6	)	)	PUNCT
ejpam-6110	227	7	∩	∩	NOUN
ejpam-6110	227	8	eb∗(ς̃∗	eb∗(ς̃∗	PROPN
ejpam-6110	227	9	)	)	PUNCT
ejpam-6110	228	1	=	=	SYM
ejpam-6110	228	2	∧	∧	NOUN
ejpam-6110	228	3	{	{	PUNCT
ejpam-6110	228	4	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	228	5	−aµa∗	−aµa∗	NOUN
ejpam-6110	228	6	(	(	PUNCT
ejpam-6110	228	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	228	8	)	)	PUNCT
ejpam-6110	228	9	,	,	PUNCT
ejpam-6110	228	10	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	228	11	−aµb∗	−aµb∗	ADV
ejpam-6110	228	12	(	(	PUNCT
ejpam-6110	228	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	228	14	)	)	PUNCT
ejpam-6110	228	15	}	}	PUNCT
ejpam-6110	229	1	=	=	SYM
ejpam-6110	229	2	∧	∧	NOUN
ejpam-6110	229	3	{	{	PUNCT
ejpam-6110	229	4	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	229	5	−aµb∗	−aµb∗	NOUN
ejpam-6110	229	6	(	(	PUNCT
ejpam-6110	229	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	229	8	)	)	PUNCT
ejpam-6110	229	9	,	,	PUNCT
ejpam-6110	229	10	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	229	11	−aµa∗	−aµa∗	NOUN
ejpam-6110	229	12	(	(	PUNCT
ejpam-6110	229	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	229	14	)	)	PUNCT
ejpam-6110	229	15	}	}	PUNCT
ejpam-6110	229	16	=	=	SYM
ejpam-6110	229	17	eb∗	eb∗	NOUN
ejpam-6110	229	18	∩	∩	PROPN
ejpam-6110	229	19	ea∗	ea∗	NOUN
ejpam-6110	229	20	ea∗	ea∗	NOUN
ejpam-6110	229	21	∩	∩	NOUN
ejpam-6110	229	22	eb∗	eb∗	NOUN
ejpam-6110	229	23	=	=	SYM
ejpam-6110	229	24	ea∗(ς̃∗	ea∗(ς̃∗	ADJ
ejpam-6110	229	25	)	)	PUNCT
ejpam-6110	229	26	∩	∩	NOUN
ejpam-6110	229	27	eb∗(ς̃∗	eb∗(ς̃∗	PROPN
ejpam-6110	229	28	)	)	PUNCT
ejpam-6110	229	29	=	=	SYM
ejpam-6110	229	30	∨	∨	X
ejpam-6110	229	31	{	{	PUNCT
ejpam-6110	229	32	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	229	33	−aλa∗	−aλa∗	PRON
ejpam-6110	229	34	(	(	PUNCT
ejpam-6110	229	35	ς̃∗	ς̃∗	NOUN
ejpam-6110	229	36	)	)	PUNCT
ejpam-6110	229	37	,	,	PUNCT
ejpam-6110	229	38	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	229	39	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	229	40	)	)	PUNCT
ejpam-6110	229	41	}	}	PUNCT
ejpam-6110	229	42	=	=	PUNCT
ejpam-6110	229	43	∨	∨	X
ejpam-6110	229	44	{	{	PUNCT
ejpam-6110	229	45	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	229	46	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	229	47	)	)	PUNCT
ejpam-6110	229	48	,	,	PUNCT
ejpam-6110	229	49	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	229	50	−aλa∗	−aλa∗	NUM
ejpam-6110	229	51	(	(	PUNCT
ejpam-6110	229	52	ς̃∗	ς̃∗	NOUN
ejpam-6110	229	53	)	)	PUNCT
ejpam-6110	229	54	}	}	PUNCT
ejpam-6110	229	55	=	=	SYM
ejpam-6110	229	56	eb∗	eb∗	NOUN
ejpam-6110	229	57	∩	∩	ADJ
ejpam-6110	229	58	ea∗	ea∗	NOUN
ejpam-6110	229	59	and	and	CCONJ
ejpam-6110	229	60	similar	similar	ADJ
ejpam-6110	229	61	way	way	NOUN
ejpam-6110	229	62	we	we	PRON
ejpam-6110	229	63	can	can	AUX
ejpam-6110	229	64	prove	prove	VERB
ejpam-6110	229	65	ea∗	ea∗	NOUN
ejpam-6110	229	66	∪	∪	NOUN
ejpam-6110	229	67	eb∗	eb∗	NOUN
ejpam-6110	229	68	=	=	SYM
ejpam-6110	229	69	eb∗	eb∗	NOUN
ejpam-6110	229	70	∪	∪	PROPN
ejpam-6110	229	71	ea∗	ea∗	NOUN
ejpam-6110	229	72	.	.	PUNCT
ejpam-6110	230	1	ii	ii	X
ejpam-6110	230	2	.	.	PUNCT
ejpam-6110	231	1	let	let	VERB
ejpam-6110	231	2	ea∗	ea∗	NOUN
ejpam-6110	231	3	and	and	CCONJ
ejpam-6110	231	4	eb∗	eb∗	ADV
ejpam-6110	231	5	be	be	AUX
ejpam-6110	231	6	three	three	NUM
ejpam-6110	231	7	eifss	eifss	ADJ
ejpam-6110	231	8	and	and	CCONJ
ejpam-6110	231	9	µea∗	µea∗	NOUN
ejpam-6110	231	10	(	(	PUNCT
ejpam-6110	231	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	231	12	)	)	PUNCT
ejpam-6110	231	13	=	=	SYM
ejpam-6110	232	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	232	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	232	3	(	(	PUNCT
ejpam-6110	232	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	232	5	)	)	PUNCT
ejpam-6110	232	6	,	,	PUNCT
ejpam-6110	232	7	µeb∗	µeb∗	PROPN
ejpam-6110	232	8	(	(	PUNCT
ejpam-6110	232	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	232	10	)	)	PUNCT
ejpam-6110	232	11	=	=	SYM
ejpam-6110	232	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	232	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	232	14	(	(	PUNCT
ejpam-6110	232	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	232	16	)	)	PUNCT
ejpam-6110	232	17	,	,	PUNCT
ejpam-6110	232	18	µec(ς̃∗	µec(ς̃∗	NUM
ejpam-6110	232	19	)	)	PUNCT
ejpam-6110	232	20	=	=	PUNCT
ejpam-6110	232	21	µc(ς̃∗)e	µc(ς̃∗)e	NUM
ejpam-6110	232	22	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	232	23	)	)	PUNCT
ejpam-6110	232	24	,	,	PUNCT
ejpam-6110	232	25	λea∗	λea∗	PROPN
ejpam-6110	232	26	(	(	PUNCT
ejpam-6110	232	27	ς̃∗	ς̃∗	PROPN
ejpam-6110	232	28	)	)	PUNCT
ejpam-6110	232	29	=	=	VERB
ejpam-6110	232	30	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	232	31	−aλa∗	−aλa∗	NUM
ejpam-6110	232	32	(	(	PUNCT
ejpam-6110	232	33	ς̃∗	ς̃∗	NOUN
ejpam-6110	232	34	)	)	PUNCT
ejpam-6110	232	35	,	,	PUNCT
ejpam-6110	232	36	λeb∗	λeb∗	PROPN
ejpam-6110	232	37	(	(	PUNCT
ejpam-6110	232	38	ς̃∗	ς̃∗	PROPN
ejpam-6110	232	39	)	)	PUNCT
ejpam-6110	232	40	=	=	PUNCT
ejpam-6110	232	41	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	232	42	−aλb(ς̃∗),and	−aλb(ς̃∗),and	NOUN
ejpam-6110	232	43	λec(ς̃∗	λec(ς̃∗	NUM
ejpam-6110	232	44	)	)	PUNCT
ejpam-6110	232	45	=	=	SYM
ejpam-6110	232	46	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	232	47	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	232	48	)	)	PUNCT
ejpam-6110	232	49	represent	represent	VERB
ejpam-6110	232	50	their	their	PRON
ejpam-6110	232	51	m	m	ADJ
ejpam-6110	232	52	and	and	CCONJ
ejpam-6110	232	53	non	non	ADJ
ejpam-6110	232	54	membership	membership	NOUN
ejpam-6110	232	55	function	function	NOUN
ejpam-6110	232	56	,	,	PUNCT
ejpam-6110	232	57	respectively	respectively	ADV
ejpam-6110	232	58	.	.	PUNCT
ejpam-6110	233	1	then	then	ADV
ejpam-6110	233	2	ea∗	ea∗	NOUN
ejpam-6110	233	3	∩	∩	NOUN
ejpam-6110	233	4	(	(	PUNCT
ejpam-6110	233	5	eb∗	eb∗	PROPN
ejpam-6110	233	6	∩	∩	ADJ
ejpam-6110	233	7	ec	ec	PROPN
ejpam-6110	233	8	)	)	PUNCT
ejpam-6110	233	9	=	=	SYM
ejpam-6110	233	10	µea∗	µea∗	NOUN
ejpam-6110	233	11	(	(	PUNCT
ejpam-6110	233	12	ς̃∗	ς̃∗	NOUN
ejpam-6110	233	13	)	)	PUNCT
ejpam-6110	233	14	∩	∩	NOUN
ejpam-6110	233	15	(	(	PUNCT
ejpam-6110	233	16	µea∗∩ec(ς̃∗	µea∗∩ec(ς̃∗	NOUN
ejpam-6110	233	17	)	)	PUNCT
ejpam-6110	233	18	)	)	PUNCT
ejpam-6110	233	19	=	=	PUNCT
ejpam-6110	234	1	∧	∧	NOUN
ejpam-6110	234	2	{	{	PUNCT
ejpam-6110	234	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	234	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	234	5	(	(	PUNCT
ejpam-6110	234	6	ς̃∗),∧	ς̃∗),∧	NOUN
ejpam-6110	234	7	{	{	PUNCT
ejpam-6110	234	8	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	234	9	−aµb∗	−aµb∗	ADV
ejpam-6110	234	10	(	(	PUNCT
ejpam-6110	234	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	234	12	)	)	PUNCT
ejpam-6110	234	13	,	,	PUNCT
ejpam-6110	234	14	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	234	15	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	234	16	)	)	PUNCT
ejpam-6110	234	17	}	}	PUNCT
ejpam-6110	234	18	}	}	PUNCT
ejpam-6110	234	19	=	=	SYM
ejpam-6110	234	20	∧	∧	NOUN
ejpam-6110	234	21	{	{	PUNCT
ejpam-6110	234	22	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	234	23	−aµa∗	−aµa∗	NOUN
ejpam-6110	234	24	(	(	PUNCT
ejpam-6110	234	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	234	26	)	)	PUNCT
ejpam-6110	234	27	,	,	PUNCT
ejpam-6110	234	28	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	234	29	−aµb∗	−aµb∗	ADV
ejpam-6110	234	30	(	(	PUNCT
ejpam-6110	234	31	ς̃∗	ς̃∗	NOUN
ejpam-6110	234	32	)	)	PUNCT
ejpam-6110	234	33	,	,	PUNCT
ejpam-6110	234	34	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	234	35	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	234	36	)	)	PUNCT
ejpam-6110	234	37	}	}	PUNCT
ejpam-6110	234	38	=	=	SYM
ejpam-6110	234	39	(	(	PUNCT
ejpam-6110	234	40	ea∗	ea∗	NOUN
ejpam-6110	234	41	∩	∩	ADJ
ejpam-6110	234	42	eb∗	eb∗	NOUN
ejpam-6110	234	43	)	)	PUNCT
ejpam-6110	234	44	∩	∩	NOUN
ejpam-6110	234	45	ec	ec	PROPN
ejpam-6110	234	46	ea∗	ea∗	NOUN
ejpam-6110	234	47	∩	∩	NOUN
ejpam-6110	234	48	(	(	PUNCT
ejpam-6110	234	49	eb∗	eb∗	PROPN
ejpam-6110	234	50	∩	∩	ADJ
ejpam-6110	234	51	ec	ec	PROPN
ejpam-6110	234	52	)	)	PUNCT
ejpam-6110	234	53	=	=	X
ejpam-6110	234	54	λea∗	λea∗	NOUN
ejpam-6110	234	55	(	(	PUNCT
ejpam-6110	234	56	ς̃∗	ς̃∗	NOUN
ejpam-6110	234	57	)	)	PUNCT
ejpam-6110	234	58	∩	∩	NOUN
ejpam-6110	234	59	(	(	PUNCT
ejpam-6110	234	60	λea∗∩ec(ς̃∗	λea∗∩ec(ς̃∗	PROPN
ejpam-6110	234	61	)	)	PUNCT
ejpam-6110	234	62	)	)	PUNCT
ejpam-6110	235	1	=	=	PUNCT
ejpam-6110	235	2	∨	∨	X
ejpam-6110	235	3	{	{	PUNCT
ejpam-6110	235	4	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	235	5	−aλa∗	−aλa∗	PROPN
ejpam-6110	235	6	(	(	PUNCT
ejpam-6110	235	7	ς̃∗),∨	ς̃∗),∨	X
ejpam-6110	235	8	{	{	PUNCT
ejpam-6110	235	9	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	235	10	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	235	11	)	)	PUNCT
ejpam-6110	235	12	,	,	PUNCT
ejpam-6110	235	13	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	235	14	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	235	15	)	)	PUNCT
ejpam-6110	235	16	}	}	PUNCT
ejpam-6110	235	17	}	}	PUNCT
ejpam-6110	235	18	m.	m.	NOUN
ejpam-6110	235	19	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	235	20	et	et	PROPN
ejpam-6110	235	21	al	al	PROPN
ejpam-6110	235	22	.	.	PUNCT
ejpam-6110	235	23	/	/	SYM
ejpam-6110	235	24	eur	eur	PROPN
ejpam-6110	235	25	.	.	PUNCT
ejpam-6110	236	1	j.	j.	PROPN
ejpam-6110	236	2	pure	pure	PROPN
ejpam-6110	236	3	appl	appl	PROPN
ejpam-6110	236	4	.	.	PROPN
ejpam-6110	236	5	math	math	PROPN
ejpam-6110	236	6	,	,	PUNCT
ejpam-6110	236	7	18	18	NUM
ejpam-6110	236	8	(	(	PUNCT
ejpam-6110	236	9	3	3	NUM
ejpam-6110	236	10	)	)	PUNCT
ejpam-6110	236	11	(	(	PUNCT
ejpam-6110	236	12	2025	2025	NUM
ejpam-6110	236	13	)	)	PUNCT
ejpam-6110	236	14	,	,	PUNCT
ejpam-6110	236	15	6110	6110	NUM
ejpam-6110	236	16	12	12	NUM
ejpam-6110	236	17	of	of	ADP
ejpam-6110	236	18	20	20	NUM
ejpam-6110	236	19	=	=	SYM
ejpam-6110	236	20	∨	∨	X
ejpam-6110	236	21	{	{	PUNCT
ejpam-6110	236	22	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	236	23	−aλa∗	−aλa∗	PRON
ejpam-6110	236	24	(	(	PUNCT
ejpam-6110	236	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	236	26	)	)	PUNCT
ejpam-6110	236	27	,	,	PUNCT
ejpam-6110	236	28	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	236	29	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	236	30	)	)	PUNCT
ejpam-6110	236	31	,	,	PUNCT
ejpam-6110	236	32	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	236	33	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	236	34	)	)	PUNCT
ejpam-6110	236	35	}	}	PUNCT
ejpam-6110	236	36	=	=	SYM
ejpam-6110	236	37	(	(	PUNCT
ejpam-6110	236	38	ea∗	ea∗	NOUN
ejpam-6110	236	39	∩	∩	ADJ
ejpam-6110	236	40	eb∗	eb∗	NOUN
ejpam-6110	236	41	)	)	PUNCT
ejpam-6110	236	42	∩	∩	NOUN
ejpam-6110	236	43	ec	ec	PROPN
ejpam-6110	236	44	and	and	CCONJ
ejpam-6110	236	45	similar	similar	ADJ
ejpam-6110	236	46	way	way	NOUN
ejpam-6110	236	47	we	we	PRON
ejpam-6110	236	48	can	can	AUX
ejpam-6110	236	49	prove	prove	VERB
ejpam-6110	236	50	ea∗	ea∗	NOUN
ejpam-6110	236	51	∪	∪	NOUN
ejpam-6110	236	52	(	(	PUNCT
ejpam-6110	236	53	eb∗	eb∗	ADP
ejpam-6110	236	54	∪	∪	PROPN
ejpam-6110	236	55	ec	ec	PROPN
ejpam-6110	236	56	)	)	PUNCT
ejpam-6110	236	57	=	=	PUNCT
ejpam-6110	237	1	(	(	PUNCT
ejpam-6110	237	2	ea∗	ea∗	NOUN
ejpam-6110	237	3	∪	∪	ADP
ejpam-6110	237	4	eb∗	eb∗	NOUN
ejpam-6110	237	5	)	)	PUNCT
ejpam-6110	237	6	∪	∪	ADP
ejpam-6110	237	7	ec	ec	PROPN
ejpam-6110	237	8	.	.	PUNCT
ejpam-6110	238	1	theorem	theorem	NOUN
ejpam-6110	238	2	2	2	NUM
ejpam-6110	238	3	.	.	X
ejpam-6110	239	1	for	for	ADP
ejpam-6110	239	2	any	any	DET
ejpam-6110	239	3	three	three	NUM
ejpam-6110	239	4	eifss	eifss	ADJ
ejpam-6110	239	5	ea∗	ea∗	NOUN
ejpam-6110	239	6	=	=	SYM
ejpam-6110	239	7	⟨µea∗	⟨µea∗	PROPN
ejpam-6110	239	8	,	,	PUNCT
ejpam-6110	239	9	λea∗	λea∗	PROPN
ejpam-6110	239	10	⟩	⟩	NOUN
ejpam-6110	239	11	,	,	PUNCT
ejpam-6110	239	12	eb∗	eb∗	NOUN
ejpam-6110	240	1	=	=	SYM
ejpam-6110	240	2	⟨µeb∗	⟨µeb∗	NOUN
ejpam-6110	240	3	,	,	PUNCT
ejpam-6110	240	4	λeb∗	λeb∗	ADJ
ejpam-6110	240	5	⟩	⟩	PROPN
ejpam-6110	240	6	and	and	CCONJ
ejpam-6110	240	7	ec	ec	PROPN
ejpam-6110	240	8	=	=	SYM
ejpam-6110	240	9	⟨µec	⟨µec	PROPN
ejpam-6110	240	10	,	,	PUNCT
ejpam-6110	240	11	λec⟩	λec⟩	NOUN
ejpam-6110	240	12	on	on	ADP
ejpam-6110	240	13	a	a	DET
ejpam-6110	240	14	universe	universe	NOUN
ejpam-6110	240	15	of	of	ADP
ejpam-6110	240	16	discourse	discourse	NOUN
ejpam-6110	240	17	x	x	PUNCT
ejpam-6110	240	18	satisfy	satisfy	VERB
ejpam-6110	240	19	the	the	DET
ejpam-6110	240	20	following	following	ADJ
ejpam-6110	240	21	ea∗	ea∗	NOUN
ejpam-6110	240	22	∩	∩	NOUN
ejpam-6110	240	23	(	(	PUNCT
ejpam-6110	240	24	eb∗	eb∗	PROPN
ejpam-6110	240	25	∪ec	∪ec	PROPN
ejpam-6110	240	26	)	)	PUNCT
ejpam-6110	240	27	=	=	PUNCT
ejpam-6110	241	1	(	(	PUNCT
ejpam-6110	241	2	ea∗	ea∗	NOUN
ejpam-6110	241	3	∩eb∗)∪	∩eb∗)∪	NOUN
ejpam-6110	241	4	(	(	PUNCT
ejpam-6110	241	5	ea∗	ea∗	NOUN
ejpam-6110	241	6	∩ec	∩ec	ADJ
ejpam-6110	241	7	)	)	PUNCT
ejpam-6110	241	8	and	and	CCONJ
ejpam-6110	241	9	ea∗	ea∗	NOUN
ejpam-6110	241	10	∪	∪	NOUN
ejpam-6110	241	11	(	(	PUNCT
ejpam-6110	241	12	eb∗	eb∗	ADJ
ejpam-6110	241	13	∩ec	∩ec	ADJ
ejpam-6110	241	14	)	)	PUNCT
ejpam-6110	241	15	=	=	SYM
ejpam-6110	241	16	(	(	PUNCT
ejpam-6110	241	17	ea∗	ea∗	NOUN
ejpam-6110	241	18	∪eb∗)∩	∪eb∗)∩	X
ejpam-6110	241	19	(	(	PUNCT
ejpam-6110	241	20	ea∗	ea∗	NOUN
ejpam-6110	241	21	∪ec	∪ec	PROPN
ejpam-6110	241	22	)	)	PUNCT
ejpam-6110	241	23	proof	proof	NOUN
ejpam-6110	241	24	.	.	PUNCT
ejpam-6110	242	1	let	let	VERB
ejpam-6110	242	2	ea∗	ea∗	NOUN
ejpam-6110	242	3	and	and	CCONJ
ejpam-6110	242	4	eb∗	eb∗	ADV
ejpam-6110	242	5	be	be	AUX
ejpam-6110	242	6	three	three	NUM
ejpam-6110	242	7	eifss	eifss	ADJ
ejpam-6110	242	8	and	and	CCONJ
ejpam-6110	242	9	µea∗	µea∗	NOUN
ejpam-6110	242	10	(	(	PUNCT
ejpam-6110	242	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	242	12	)	)	PUNCT
ejpam-6110	242	13	=	=	SYM
ejpam-6110	243	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	243	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	243	3	(	(	PUNCT
ejpam-6110	243	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	243	5	)	)	PUNCT
ejpam-6110	243	6	,	,	PUNCT
ejpam-6110	243	7	µeb∗	µeb∗	PROPN
ejpam-6110	243	8	(	(	PUNCT
ejpam-6110	243	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	243	10	)	)	PUNCT
ejpam-6110	243	11	=	=	SYM
ejpam-6110	243	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	243	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	243	14	(	(	PUNCT
ejpam-6110	243	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	243	16	)	)	PUNCT
ejpam-6110	243	17	,	,	PUNCT
ejpam-6110	243	18	µec(ς̃∗	µec(ς̃∗	NUM
ejpam-6110	243	19	)	)	PUNCT
ejpam-6110	243	20	=	=	PUNCT
ejpam-6110	243	21	µc(ς̃∗)e	µc(ς̃∗)e	NUM
ejpam-6110	243	22	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	243	23	)	)	PUNCT
ejpam-6110	243	24	,	,	PUNCT
ejpam-6110	243	25	λea∗	λea∗	PROPN
ejpam-6110	243	26	(	(	PUNCT
ejpam-6110	243	27	ς̃∗	ς̃∗	PROPN
ejpam-6110	243	28	)	)	PUNCT
ejpam-6110	243	29	=	=	VERB
ejpam-6110	243	30	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	243	31	−aλa∗	−aλa∗	NUM
ejpam-6110	243	32	(	(	PUNCT
ejpam-6110	243	33	ς̃∗	ς̃∗	NOUN
ejpam-6110	243	34	)	)	PUNCT
ejpam-6110	243	35	,	,	PUNCT
ejpam-6110	243	36	λeb∗	λeb∗	PROPN
ejpam-6110	243	37	(	(	PUNCT
ejpam-6110	243	38	ς̃∗	ς̃∗	PROPN
ejpam-6110	243	39	)	)	PUNCT
ejpam-6110	243	40	=	=	PUNCT
ejpam-6110	243	41	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	243	42	−aλb(ς̃∗),and	−aλb(ς̃∗),and	NOUN
ejpam-6110	243	43	λec(ς̃∗	λec(ς̃∗	NUM
ejpam-6110	243	44	)	)	PUNCT
ejpam-6110	243	45	=	=	SYM
ejpam-6110	243	46	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	243	47	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	243	48	)	)	PUNCT
ejpam-6110	243	49	represent	represent	VERB
ejpam-6110	243	50	their	their	PRON
ejpam-6110	243	51	m	m	NOUN
ejpam-6110	243	52	and	and	CCONJ
ejpam-6110	243	53	nm	nm	ADJ
ejpam-6110	243	54	function	function	NOUN
ejpam-6110	243	55	,	,	PUNCT
ejpam-6110	243	56	respectively	respectively	ADV
ejpam-6110	243	57	.	.	PUNCT
ejpam-6110	244	1	ea∗	ea∗	NOUN
ejpam-6110	244	2	∩	∩	NOUN
ejpam-6110	244	3	(	(	PUNCT
ejpam-6110	244	4	eb∗	eb∗	ADP
ejpam-6110	244	5	∪	∪	PROPN
ejpam-6110	244	6	ec	ec	PROPN
ejpam-6110	244	7	)	)	PUNCT
ejpam-6110	244	8	=	=	SYM
ejpam-6110	244	9	µea∗	µea∗	NOUN
ejpam-6110	244	10	(	(	PUNCT
ejpam-6110	244	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	244	12	)	)	PUNCT
ejpam-6110	244	13	∩	∩	NOUN
ejpam-6110	244	14	(	(	PUNCT
ejpam-6110	244	15	µea∗∪ec(ς̃∗	µea∗∪ec(ς̃∗	PROPN
ejpam-6110	244	16	)	)	PUNCT
ejpam-6110	244	17	)	)	PUNCT
ejpam-6110	245	1	=	=	PUNCT
ejpam-6110	245	2	∧	∧	NOUN
ejpam-6110	245	3	{	{	PUNCT
ejpam-6110	245	4	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	245	5	−aµa∗	−aµa∗	NOUN
ejpam-6110	245	6	(	(	PUNCT
ejpam-6110	245	7	ς̃∗),∨	ς̃∗),∨	X
ejpam-6110	245	8	{	{	PUNCT
ejpam-6110	245	9	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	245	10	−aµb∗	−aµb∗	NOUN
ejpam-6110	245	11	(	(	PUNCT
ejpam-6110	245	12	ς̃∗	ς̃∗	NOUN
ejpam-6110	245	13	)	)	PUNCT
ejpam-6110	245	14	,	,	PUNCT
ejpam-6110	245	15	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	245	16	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	245	17	)	)	PUNCT
ejpam-6110	245	18	}	}	PUNCT
ejpam-6110	245	19	}	}	PUNCT
ejpam-6110	245	20	(	(	PUNCT
ejpam-6110	245	21	ea∗	ea∗	NOUN
ejpam-6110	245	22	∩	∩	NOUN
ejpam-6110	245	23	eb∗	eb∗	NOUN
ejpam-6110	245	24	)	)	PUNCT
ejpam-6110	245	25	∪	∪	NOUN
ejpam-6110	245	26	(	(	PUNCT
ejpam-6110	245	27	ea∗	ea∗	NOUN
ejpam-6110	245	28	∩	∩	ADJ
ejpam-6110	245	29	ec	ec	PROPN
ejpam-6110	245	30	)	)	PUNCT
ejpam-6110	245	31	=	=	PUNCT
ejpam-6110	245	32	∨	∨	X
ejpam-6110	245	33	{	{	PUNCT
ejpam-6110	245	34	∧	∧	PROPN
ejpam-6110	245	35	{	{	PUNCT
ejpam-6110	245	36	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	245	37	−aµa∗	−aµa∗	NOUN
ejpam-6110	245	38	(	(	PUNCT
ejpam-6110	245	39	ς̃∗	ς̃∗	NOUN
ejpam-6110	245	40	)	)	PUNCT
ejpam-6110	245	41	,	,	PUNCT
ejpam-6110	245	42	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	245	43	−aµb∗	−aµb∗	ADV
ejpam-6110	245	44	(	(	PUNCT
ejpam-6110	245	45	ς̃∗	ς̃∗	NOUN
ejpam-6110	245	46	)	)	PUNCT
ejpam-6110	245	47	}	}	PUNCT
ejpam-6110	245	48	,	,	PUNCT
ejpam-6110	245	49	∧	∧	NOUN
ejpam-6110	245	50	{	{	PUNCT
ejpam-6110	245	51	µb∗(ς̃∗)e	µb∗(ς̃∗)e	ADJ
ejpam-6110	245	52	−aµb∗	−aµb∗	NOUN
ejpam-6110	245	53	(	(	PUNCT
ejpam-6110	245	54	ς̃∗	ς̃∗	NOUN
ejpam-6110	245	55	)	)	PUNCT
ejpam-6110	245	56	,	,	PUNCT
ejpam-6110	245	57	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	245	58	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	245	59	)	)	PUNCT
ejpam-6110	245	60	}	}	PUNCT
ejpam-6110	245	61	}	}	PUNCT
ejpam-6110	245	62	(	(	PUNCT
ejpam-6110	245	63	3.5	3.5	NUM
ejpam-6110	245	64	)	)	PUNCT
ejpam-6110	245	65	and	and	CCONJ
ejpam-6110	245	66	ea∗	ea∗	NOUN
ejpam-6110	245	67	∩	∩	NOUN
ejpam-6110	245	68	(	(	PUNCT
ejpam-6110	245	69	eb∗	eb∗	ADP
ejpam-6110	245	70	∪	∪	PROPN
ejpam-6110	245	71	ec	ec	PROPN
ejpam-6110	245	72	)	)	PUNCT
ejpam-6110	245	73	=	=	X
ejpam-6110	245	74	λea∗	λea∗	NOUN
ejpam-6110	245	75	(	(	PUNCT
ejpam-6110	245	76	ς̃∗	ς̃∗	NOUN
ejpam-6110	245	77	)	)	PUNCT
ejpam-6110	245	78	∩	∩	NOUN
ejpam-6110	245	79	(	(	PUNCT
ejpam-6110	245	80	λea∗∪ec(ς̃∗	λea∗∪ec(ς̃∗	NOUN
ejpam-6110	245	81	)	)	PUNCT
ejpam-6110	245	82	)	)	PUNCT
ejpam-6110	246	1	=	=	PUNCT
ejpam-6110	246	2	∨	∨	X
ejpam-6110	246	3	{	{	PUNCT
ejpam-6110	246	4	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	246	5	−aλa∗	−aλa∗	PROPN
ejpam-6110	246	6	(	(	PUNCT
ejpam-6110	246	7	ς̃∗),∧	ς̃∗),∧	NOUN
ejpam-6110	246	8	{	{	PUNCT
ejpam-6110	246	9	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	246	10	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	246	11	)	)	PUNCT
ejpam-6110	246	12	,	,	PUNCT
ejpam-6110	246	13	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	246	14	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	246	15	)	)	PUNCT
ejpam-6110	246	16	}	}	PUNCT
ejpam-6110	246	17	}	}	PUNCT
ejpam-6110	246	18	(	(	PUNCT
ejpam-6110	246	19	ea∗	ea∗	NOUN
ejpam-6110	246	20	∩	∩	NOUN
ejpam-6110	246	21	eb∗	eb∗	NOUN
ejpam-6110	246	22	)	)	PUNCT
ejpam-6110	246	23	∪	∪	NOUN
ejpam-6110	246	24	(	(	PUNCT
ejpam-6110	246	25	ea∗	ea∗	NOUN
ejpam-6110	246	26	∩	∩	ADJ
ejpam-6110	246	27	ec	ec	PROPN
ejpam-6110	246	28	)	)	PUNCT
ejpam-6110	247	1	=	=	SYM
ejpam-6110	247	2	∧	∧	PROPN
ejpam-6110	247	3	{	{	PUNCT
ejpam-6110	247	4	∨	∨	X
ejpam-6110	247	5	{	{	PUNCT
ejpam-6110	247	6	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	247	7	−aλa∗	−aλa∗	PRON
ejpam-6110	247	8	(	(	PUNCT
ejpam-6110	247	9	ς̃∗	ς̃∗	NOUN
ejpam-6110	247	10	)	)	PUNCT
ejpam-6110	247	11	,	,	PUNCT
ejpam-6110	247	12	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	247	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	247	14	(	(	PUNCT
ejpam-6110	247	15	ς̃∗	ς̃∗	PROPN
ejpam-6110	247	16	)	)	PUNCT
ejpam-6110	247	17	}	}	PUNCT
ejpam-6110	247	18	,	,	PUNCT
ejpam-6110	247	19	∨	∨	X
ejpam-6110	247	20	{	{	PUNCT
ejpam-6110	247	21	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	247	22	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	247	23	)	)	PUNCT
ejpam-6110	247	24	,	,	PUNCT
ejpam-6110	247	25	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	247	26	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	247	27	)	)	PUNCT
ejpam-6110	247	28	}	}	PUNCT
ejpam-6110	247	29	}	}	PUNCT
ejpam-6110	247	30	(	(	PUNCT
ejpam-6110	247	31	3.6	3.6	NUM
ejpam-6110	247	32	)	)	PUNCT
ejpam-6110	247	33	case	case	NOUN
ejpam-6110	247	34	1	1	NUM
ejpam-6110	247	35	.	.	PUNCT
ejpam-6110	248	1	if	if	SCONJ
ejpam-6110	248	2	µea∗	µea∗	NOUN
ejpam-6110	248	3	(	(	PUNCT
ejpam-6110	248	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	248	5	)	)	PUNCT
ejpam-6110	248	6	≤	≤	NOUN
ejpam-6110	248	7	µeb∗	µeb∗	ADV
ejpam-6110	248	8	(	(	PUNCT
ejpam-6110	248	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	248	10	)	)	PUNCT
ejpam-6110	248	11	≤	≤	NOUN
ejpam-6110	248	12	µec(ς̃∗	µec(ς̃∗	PROPN
ejpam-6110	248	13	)	)	PUNCT
ejpam-6110	248	14	and	and	CCONJ
ejpam-6110	248	15	λea∗	λea∗	PROPN
ejpam-6110	248	16	(	(	PUNCT
ejpam-6110	248	17	ς̃∗	ς̃∗	PROPN
ejpam-6110	248	18	)	)	PUNCT
ejpam-6110	248	19	≤	≤	NOUN
ejpam-6110	248	20	λeb∗	λeb∗	ADJ
ejpam-6110	248	21	(	(	PUNCT
ejpam-6110	248	22	ς̃∗	ς̃∗	PROPN
ejpam-6110	248	23	)	)	PUNCT
ejpam-6110	248	24	≤	≤	NUM
ejpam-6110	249	1	λec(ς̃∗	λec(ς̃∗	PROPN
ejpam-6110	249	2	)	)	PUNCT
ejpam-6110	249	3	ea∗	ea∗	NOUN
ejpam-6110	249	4	∩	∩	NOUN
ejpam-6110	249	5	(	(	PUNCT
ejpam-6110	249	6	eb∗	eb∗	ADP
ejpam-6110	249	7	∪	∪	PROPN
ejpam-6110	249	8	ec	ec	PROPN
ejpam-6110	249	9	)	)	PUNCT
ejpam-6110	249	10	=	=	SYM
ejpam-6110	250	1	∧	∧	NOUN
ejpam-6110	250	2	{	{	PUNCT
ejpam-6110	250	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	250	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	250	5	(	(	PUNCT
ejpam-6110	250	6	ς̃∗),∨	ς̃∗),∨	X
ejpam-6110	250	7	{	{	PUNCT
ejpam-6110	250	8	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	250	9	−aµb∗	−aµb∗	NOUN
ejpam-6110	250	10	(	(	PUNCT
ejpam-6110	250	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	250	12	)	)	PUNCT
ejpam-6110	250	13	,	,	PUNCT
ejpam-6110	250	14	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	250	15	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	250	16	)	)	PUNCT
ejpam-6110	250	17	}	}	PUNCT
ejpam-6110	250	18	}	}	PUNCT
ejpam-6110	250	19	=	=	SYM
ejpam-6110	250	20	∧	∧	NOUN
ejpam-6110	250	21	{	{	PUNCT
ejpam-6110	250	22	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	250	23	−aµa∗	−aµa∗	NOUN
ejpam-6110	250	24	(	(	PUNCT
ejpam-6110	250	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	250	26	)	)	PUNCT
ejpam-6110	250	27	,	,	PUNCT
ejpam-6110	250	28	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	250	29	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	250	30	)	)	PUNCT
ejpam-6110	250	31	}	}	PUNCT
ejpam-6110	250	32	=	=	SYM
ejpam-6110	250	33	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	250	34	−aµa∗	−aµa∗	NOUN
ejpam-6110	250	35	(	(	PUNCT
ejpam-6110	250	36	ς̃∗	ς̃∗	NOUN
ejpam-6110	250	37	)	)	PUNCT
ejpam-6110	250	38	.	.	PUNCT
ejpam-6110	251	1	(	(	PUNCT
ejpam-6110	251	2	3.7	3.7	NUM
ejpam-6110	251	3	)	)	PUNCT
ejpam-6110	251	4	(	(	PUNCT
ejpam-6110	251	5	ea∗	ea∗	NOUN
ejpam-6110	251	6	∩	∩	NOUN
ejpam-6110	251	7	eb∗	eb∗	NOUN
ejpam-6110	251	8	)	)	PUNCT
ejpam-6110	251	9	∪	∪	NOUN
ejpam-6110	251	10	(	(	PUNCT
ejpam-6110	251	11	ea∗	ea∗	NOUN
ejpam-6110	251	12	∩	∩	ADJ
ejpam-6110	251	13	ec	ec	PROPN
ejpam-6110	251	14	)	)	PUNCT
ejpam-6110	251	15	=	=	PUNCT
ejpam-6110	252	1	∨	∨	X
ejpam-6110	252	2	{	{	PUNCT
ejpam-6110	252	3	∧	∧	PROPN
ejpam-6110	252	4	{	{	PUNCT
ejpam-6110	252	5	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	252	6	−aµa∗	−aµa∗	NOUN
ejpam-6110	252	7	(	(	PUNCT
ejpam-6110	252	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	252	9	)	)	PUNCT
ejpam-6110	252	10	,	,	PUNCT
ejpam-6110	252	11	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	252	12	−aµb∗	−aµb∗	ADV
ejpam-6110	252	13	(	(	PUNCT
ejpam-6110	252	14	ς̃∗	ς̃∗	NOUN
ejpam-6110	252	15	)	)	PUNCT
ejpam-6110	252	16	}	}	PUNCT
ejpam-6110	252	17	,	,	PUNCT
ejpam-6110	252	18	(	(	PUNCT
ejpam-6110	252	19	3.8	3.8	NUM
ejpam-6110	252	20	)	)	PUNCT
ejpam-6110	252	21	∧	∧	NOUN
ejpam-6110	252	22	{	{	PUNCT
ejpam-6110	252	23	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	252	24	−aµb∗	−aµb∗	NOUN
ejpam-6110	252	25	(	(	PUNCT
ejpam-6110	252	26	ς̃∗	ς̃∗	NOUN
ejpam-6110	252	27	)	)	PUNCT
ejpam-6110	252	28	,	,	PUNCT
ejpam-6110	252	29	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	252	30	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	252	31	)	)	PUNCT
ejpam-6110	252	32	}	}	PUNCT
ejpam-6110	252	33	}	}	PUNCT
ejpam-6110	252	34	=	=	SYM
ejpam-6110	252	35	∨	∨	X
ejpam-6110	252	36	{	{	PUNCT
ejpam-6110	252	37	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	252	38	−aµa∗	−aµa∗	NOUN
ejpam-6110	252	39	(	(	PUNCT
ejpam-6110	252	40	ς̃∗	ς̃∗	NOUN
ejpam-6110	252	41	)	)	PUNCT
ejpam-6110	252	42	,	,	PUNCT
ejpam-6110	252	43	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	252	44	−aµb∗	−aµb∗	ADV
ejpam-6110	252	45	(	(	PUNCT
ejpam-6110	252	46	ς̃∗	ς̃∗	NOUN
ejpam-6110	252	47	)	)	PUNCT
ejpam-6110	252	48	}	}	PUNCT
ejpam-6110	252	49	m.	m.	NOUN
ejpam-6110	252	50	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	252	51	et	et	PROPN
ejpam-6110	252	52	al	al	PROPN
ejpam-6110	252	53	.	.	PUNCT
ejpam-6110	252	54	/	/	SYM
ejpam-6110	252	55	eur	eur	PROPN
ejpam-6110	252	56	.	.	PUNCT
ejpam-6110	253	1	j.	j.	PROPN
ejpam-6110	253	2	pure	pure	PROPN
ejpam-6110	253	3	appl	appl	PROPN
ejpam-6110	253	4	.	.	PROPN
ejpam-6110	253	5	math	math	PROPN
ejpam-6110	253	6	,	,	PUNCT
ejpam-6110	253	7	18	18	NUM
ejpam-6110	253	8	(	(	PUNCT
ejpam-6110	253	9	3	3	NUM
ejpam-6110	253	10	)	)	PUNCT
ejpam-6110	253	11	(	(	PUNCT
ejpam-6110	253	12	2025	2025	NUM
ejpam-6110	253	13	)	)	PUNCT
ejpam-6110	253	14	,	,	PUNCT
ejpam-6110	253	15	6110	6110	NUM
ejpam-6110	253	16	13	13	NUM
ejpam-6110	253	17	of	of	ADP
ejpam-6110	253	18	20	20	NUM
ejpam-6110	253	19	=	=	SYM
ejpam-6110	253	20	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	253	21	−aµa∗	−aµa∗	NOUN
ejpam-6110	253	22	(	(	PUNCT
ejpam-6110	253	23	ς̃∗	ς̃∗	PROPN
ejpam-6110	253	24	)	)	PUNCT
ejpam-6110	253	25	(	(	PUNCT
ejpam-6110	253	26	3.9	3.9	NUM
ejpam-6110	253	27	)	)	PUNCT
ejpam-6110	253	28	from	from	ADP
ejpam-6110	253	29	equation	equation	NOUN
ejpam-6110	253	30	(	(	PUNCT
ejpam-6110	253	31	3.7	3.7	NUM
ejpam-6110	253	32	)	)	PUNCT
ejpam-6110	253	33	and	and	CCONJ
ejpam-6110	253	34	(	(	PUNCT
ejpam-6110	253	35	3.9	3.9	NUM
ejpam-6110	253	36	)	)	PUNCT
ejpam-6110	253	37	ea∗	ea∗	NOUN
ejpam-6110	253	38	∩	∩	NOUN
ejpam-6110	253	39	(	(	PUNCT
ejpam-6110	253	40	eb∗	eb∗	ADP
ejpam-6110	253	41	∪	∪	PROPN
ejpam-6110	253	42	ec	ec	PROPN
ejpam-6110	253	43	)	)	PUNCT
ejpam-6110	253	44	=	=	PUNCT
ejpam-6110	253	45	(	(	PUNCT
ejpam-6110	253	46	ea∗	ea∗	NOUN
ejpam-6110	253	47	∩	∩	NOUN
ejpam-6110	253	48	eb∗	eb∗	NOUN
ejpam-6110	253	49	)	)	PUNCT
ejpam-6110	253	50	∪	∪	NOUN
ejpam-6110	253	51	(	(	PUNCT
ejpam-6110	253	52	ea∗	ea∗	NOUN
ejpam-6110	253	53	∩	∩	ADJ
ejpam-6110	253	54	ec	ec	PROPN
ejpam-6110	253	55	)	)	PUNCT
ejpam-6110	253	56	and	and	CCONJ
ejpam-6110	253	57	ea∗	ea∗	NOUN
ejpam-6110	253	58	∩	∩	NOUN
ejpam-6110	253	59	(	(	PUNCT
ejpam-6110	253	60	eb∗	eb∗	ADP
ejpam-6110	253	61	∪	∪	PROPN
ejpam-6110	253	62	ec	ec	PROPN
ejpam-6110	253	63	)	)	PUNCT
ejpam-6110	253	64	=	=	SYM
ejpam-6110	254	1	∨	∨	X
ejpam-6110	254	2	{	{	PUNCT
ejpam-6110	254	3	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	254	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	254	5	(	(	PUNCT
ejpam-6110	254	6	ς̃∗),∧	ς̃∗),∧	NOUN
ejpam-6110	254	7	{	{	PUNCT
ejpam-6110	254	8	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	254	9	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	254	10	)	)	PUNCT
ejpam-6110	254	11	,	,	PUNCT
ejpam-6110	254	12	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	254	13	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	254	14	)	)	PUNCT
ejpam-6110	254	15	}	}	PUNCT
ejpam-6110	254	16	}	}	PUNCT
ejpam-6110	254	17	=	=	SYM
ejpam-6110	254	18	∨	∨	X
ejpam-6110	254	19	{	{	PUNCT
ejpam-6110	254	20	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	254	21	−aλa∗	−aλa∗	PRON
ejpam-6110	254	22	(	(	PUNCT
ejpam-6110	254	23	ς̃∗	ς̃∗	NOUN
ejpam-6110	254	24	)	)	PUNCT
ejpam-6110	254	25	,	,	PUNCT
ejpam-6110	254	26	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	254	27	−aµb∗	−aµb∗	NOUN
ejpam-6110	254	28	(	(	PUNCT
ejpam-6110	254	29	ς̃∗	ς̃∗	PROPN
ejpam-6110	254	30	)	)	PUNCT
ejpam-6110	254	31	}	}	PUNCT
ejpam-6110	254	32	=	=	PUNCT
ejpam-6110	254	33	λb(ς̃∗)e	λb(ς̃∗)e	NUM
ejpam-6110	254	34	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	254	35	)	)	PUNCT
ejpam-6110	254	36	.	.	PUNCT
ejpam-6110	255	1	(	(	PUNCT
ejpam-6110	255	2	3.10	3.10	NUM
ejpam-6110	255	3	)	)	PUNCT
ejpam-6110	255	4	(	(	PUNCT
ejpam-6110	255	5	ea∗	ea∗	NOUN
ejpam-6110	255	6	∩	∩	NOUN
ejpam-6110	255	7	eb∗	eb∗	NOUN
ejpam-6110	255	8	)	)	PUNCT
ejpam-6110	255	9	∪	∪	NOUN
ejpam-6110	255	10	(	(	PUNCT
ejpam-6110	255	11	ea∗	ea∗	NOUN
ejpam-6110	255	12	∩	∩	ADJ
ejpam-6110	255	13	ec	ec	PROPN
ejpam-6110	255	14	)	)	PUNCT
ejpam-6110	255	15	=	=	SYM
ejpam-6110	255	16	∧	∧	PROPN
ejpam-6110	255	17	{	{	PUNCT
ejpam-6110	255	18	∨	∨	X
ejpam-6110	255	19	{	{	PUNCT
ejpam-6110	255	20	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	255	21	−aλa∗	−aλa∗	PRON
ejpam-6110	255	22	(	(	PUNCT
ejpam-6110	255	23	ς̃∗	ς̃∗	NOUN
ejpam-6110	255	24	)	)	PUNCT
ejpam-6110	255	25	,	,	PUNCT
ejpam-6110	255	26	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	255	27	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	255	28	)	)	PUNCT
ejpam-6110	255	29	}	}	PUNCT
ejpam-6110	255	30	,	,	PUNCT
ejpam-6110	255	31	(	(	PUNCT
ejpam-6110	255	32	3.11	3.11	NUM
ejpam-6110	255	33	)	)	PUNCT
ejpam-6110	255	34	∨	∨	NOUN
ejpam-6110	255	35	{	{	PUNCT
ejpam-6110	255	36	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	255	37	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	255	38	)	)	PUNCT
ejpam-6110	255	39	,	,	PUNCT
ejpam-6110	255	40	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	255	41	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	255	42	)	)	PUNCT
ejpam-6110	255	43	}	}	PUNCT
ejpam-6110	255	44	}	}	PUNCT
ejpam-6110	255	45	=	=	SYM
ejpam-6110	255	46	∧	∧	NOUN
ejpam-6110	255	47	{	{	PUNCT
ejpam-6110	255	48	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	255	49	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	255	50	)	)	PUNCT
ejpam-6110	255	51	,	,	PUNCT
ejpam-6110	255	52	λc(ς̃∗)e	λc(ς̃∗)e	X
ejpam-6110	255	53	−aµc(ς̃∗	−aµc(ς̃∗	NOUN
ejpam-6110	255	54	)	)	PUNCT
ejpam-6110	255	55	}	}	PUNCT
ejpam-6110	255	56	=	=	PUNCT
ejpam-6110	255	57	λb(ς̃∗)e	λb(ς̃∗)e	NUM
ejpam-6110	255	58	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	255	59	)	)	PUNCT
ejpam-6110	255	60	(	(	PUNCT
ejpam-6110	255	61	3.12	3.12	NUM
ejpam-6110	255	62	)	)	PUNCT
ejpam-6110	255	63	from	from	ADP
ejpam-6110	255	64	equation	equation	NOUN
ejpam-6110	255	65	(	(	PUNCT
ejpam-6110	255	66	3.10	3.10	NUM
ejpam-6110	255	67	)	)	PUNCT
ejpam-6110	255	68	and	and	CCONJ
ejpam-6110	255	69	(	(	PUNCT
ejpam-6110	255	70	3.12	3.12	NUM
ejpam-6110	255	71	)	)	PUNCT
ejpam-6110	255	72	ea∗	ea∗	NOUN
ejpam-6110	255	73	∩	∩	NOUN
ejpam-6110	255	74	(	(	PUNCT
ejpam-6110	255	75	eb∗	eb∗	ADP
ejpam-6110	255	76	∪	∪	PROPN
ejpam-6110	255	77	ec	ec	PROPN
ejpam-6110	255	78	)	)	PUNCT
ejpam-6110	255	79	=	=	PUNCT
ejpam-6110	255	80	(	(	PUNCT
ejpam-6110	255	81	ea∗	ea∗	NOUN
ejpam-6110	255	82	∩	∩	NOUN
ejpam-6110	255	83	eb∗	eb∗	NOUN
ejpam-6110	255	84	)	)	PUNCT
ejpam-6110	255	85	∪	∪	NOUN
ejpam-6110	255	86	(	(	PUNCT
ejpam-6110	255	87	ea∗	ea∗	NOUN
ejpam-6110	255	88	∩	∩	ADJ
ejpam-6110	255	89	ec	ec	PROPN
ejpam-6110	255	90	)	)	PUNCT
ejpam-6110	255	91	case	case	NOUN
ejpam-6110	256	1	2	2	NUM
ejpam-6110	256	2	.	.	PUNCT
ejpam-6110	257	1	if	if	SCONJ
ejpam-6110	257	2	µec(ς̃∗	µec(ς̃∗	NOUN
ejpam-6110	257	3	)	)	PUNCT
ejpam-6110	257	4	≤	≤	PUNCT
ejpam-6110	257	5	µeb∗	µeb∗	ADV
ejpam-6110	257	6	(	(	PUNCT
ejpam-6110	257	7	ς̃∗	ς̃∗	NOUN
ejpam-6110	257	8	)	)	PUNCT
ejpam-6110	257	9	≤	≤	NOUN
ejpam-6110	257	10	µea∗	µea∗	NOUN
ejpam-6110	257	11	(	(	PUNCT
ejpam-6110	257	12	ς̃∗	ς̃∗	NOUN
ejpam-6110	257	13	)	)	PUNCT
ejpam-6110	257	14	and	and	CCONJ
ejpam-6110	257	15	λec(ς̃∗	λec(ς̃∗	PROPN
ejpam-6110	257	16	)	)	PUNCT
ejpam-6110	257	17	≤	≤	NOUN
ejpam-6110	258	1	λeb∗	λeb∗	ADJ
ejpam-6110	258	2	(	(	PUNCT
ejpam-6110	258	3	ς̃∗	ς̃∗	NOUN
ejpam-6110	258	4	)	)	PUNCT
ejpam-6110	258	5	≤	≤	NOUN
ejpam-6110	258	6	λea∗	λea∗	NOUN
ejpam-6110	258	7	(	(	PUNCT
ejpam-6110	258	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	258	9	)	)	PUNCT
ejpam-6110	258	10	ea∗	ea∗	NOUN
ejpam-6110	258	11	∩	∩	NOUN
ejpam-6110	258	12	(	(	PUNCT
ejpam-6110	258	13	eb∗	eb∗	ADP
ejpam-6110	258	14	∪	∪	PROPN
ejpam-6110	258	15	ec	ec	PROPN
ejpam-6110	258	16	)	)	PUNCT
ejpam-6110	258	17	=	=	SYM
ejpam-6110	259	1	∧	∧	NOUN
ejpam-6110	259	2	{	{	PUNCT
ejpam-6110	259	3	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	259	4	−aµa∗	−aµa∗	NOUN
ejpam-6110	259	5	(	(	PUNCT
ejpam-6110	259	6	ς̃∗),∨	ς̃∗),∨	X
ejpam-6110	259	7	{	{	PUNCT
ejpam-6110	259	8	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	259	9	−aµb∗	−aµb∗	NOUN
ejpam-6110	259	10	(	(	PUNCT
ejpam-6110	259	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	259	12	)	)	PUNCT
ejpam-6110	259	13	,	,	PUNCT
ejpam-6110	259	14	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	259	15	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	259	16	)	)	PUNCT
ejpam-6110	259	17	}	}	PUNCT
ejpam-6110	259	18	}	}	PUNCT
ejpam-6110	259	19	=	=	SYM
ejpam-6110	259	20	∧	∧	NOUN
ejpam-6110	259	21	{	{	PUNCT
ejpam-6110	259	22	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	259	23	−aµa∗	−aµa∗	NOUN
ejpam-6110	259	24	(	(	PUNCT
ejpam-6110	259	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	259	26	)	)	PUNCT
ejpam-6110	259	27	,	,	PUNCT
ejpam-6110	259	28	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	259	29	−aµb∗	−aµb∗	ADV
ejpam-6110	259	30	(	(	PUNCT
ejpam-6110	259	31	ς̃∗	ς̃∗	NOUN
ejpam-6110	259	32	)	)	PUNCT
ejpam-6110	259	33	}	}	PUNCT
ejpam-6110	260	1	=	=	PUNCT
ejpam-6110	260	2	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	260	3	−aµb∗	−aµb∗	NOUN
ejpam-6110	260	4	(	(	PUNCT
ejpam-6110	260	5	ς̃∗	ς̃∗	PROPN
ejpam-6110	260	6	)	)	PUNCT
ejpam-6110	260	7	.	.	PUNCT
ejpam-6110	261	1	(	(	PUNCT
ejpam-6110	261	2	3.13	3.13	NUM
ejpam-6110	261	3	)	)	PUNCT
ejpam-6110	261	4	(	(	PUNCT
ejpam-6110	261	5	ea∗	ea∗	NOUN
ejpam-6110	261	6	∩	∩	NOUN
ejpam-6110	261	7	eb∗	eb∗	NOUN
ejpam-6110	261	8	)	)	PUNCT
ejpam-6110	261	9	∪	∪	NOUN
ejpam-6110	261	10	(	(	PUNCT
ejpam-6110	261	11	ea∗	ea∗	NOUN
ejpam-6110	261	12	∩	∩	ADJ
ejpam-6110	261	13	ec	ec	PROPN
ejpam-6110	261	14	)	)	PUNCT
ejpam-6110	261	15	=	=	PUNCT
ejpam-6110	262	1	∨	∨	X
ejpam-6110	262	2	{	{	PUNCT
ejpam-6110	262	3	∧	∧	PROPN
ejpam-6110	262	4	{	{	PUNCT
ejpam-6110	262	5	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	262	6	−aµa∗	−aµa∗	NOUN
ejpam-6110	262	7	(	(	PUNCT
ejpam-6110	262	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	262	9	)	)	PUNCT
ejpam-6110	262	10	,	,	PUNCT
ejpam-6110	262	11	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	262	12	−aµb∗	−aµb∗	ADV
ejpam-6110	262	13	(	(	PUNCT
ejpam-6110	262	14	ς̃∗	ς̃∗	NOUN
ejpam-6110	262	15	)	)	PUNCT
ejpam-6110	262	16	}	}	PUNCT
ejpam-6110	262	17	,	,	PUNCT
ejpam-6110	262	18	(	(	PUNCT
ejpam-6110	262	19	3.14	3.14	X
ejpam-6110	262	20	)	)	PUNCT
ejpam-6110	262	21	∧	∧	NOUN
ejpam-6110	262	22	{	{	PUNCT
ejpam-6110	262	23	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	262	24	−aµa∗	−aµa∗	NOUN
ejpam-6110	262	25	(	(	PUNCT
ejpam-6110	262	26	ς̃∗	ς̃∗	NOUN
ejpam-6110	262	27	)	)	PUNCT
ejpam-6110	262	28	,	,	PUNCT
ejpam-6110	262	29	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	262	30	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	262	31	)	)	PUNCT
ejpam-6110	262	32	}	}	PUNCT
ejpam-6110	262	33	}	}	PUNCT
ejpam-6110	262	34	=	=	SYM
ejpam-6110	262	35	∨	∨	X
ejpam-6110	262	36	{	{	PUNCT
ejpam-6110	262	37	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	262	38	−aµb∗	−aµb∗	NOUN
ejpam-6110	262	39	(	(	PUNCT
ejpam-6110	262	40	ς̃∗	ς̃∗	NOUN
ejpam-6110	262	41	)	)	PUNCT
ejpam-6110	262	42	,	,	PUNCT
ejpam-6110	262	43	µc(ς̃∗)e	µc(ς̃∗)e	PRON
ejpam-6110	262	44	−aµc(ς̃∗	−aµc(ς̃∗	PROPN
ejpam-6110	262	45	)	)	PUNCT
ejpam-6110	262	46	}	}	PUNCT
ejpam-6110	263	1	=	=	PUNCT
ejpam-6110	263	2	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	263	3	−aµb∗	−aµb∗	NOUN
ejpam-6110	263	4	(	(	PUNCT
ejpam-6110	263	5	ς̃∗	ς̃∗	PROPN
ejpam-6110	263	6	)	)	PUNCT
ejpam-6110	263	7	(	(	PUNCT
ejpam-6110	263	8	3.15	3.15	NUM
ejpam-6110	263	9	)	)	PUNCT
ejpam-6110	263	10	from	from	ADP
ejpam-6110	263	11	equation	equation	NOUN
ejpam-6110	263	12	(	(	PUNCT
ejpam-6110	263	13	3.13	3.13	NUM
ejpam-6110	263	14	)	)	PUNCT
ejpam-6110	263	15	and	and	CCONJ
ejpam-6110	263	16	(	(	PUNCT
ejpam-6110	263	17	3.15	3.15	NUM
ejpam-6110	263	18	)	)	PUNCT
ejpam-6110	263	19	ea∗	ea∗	NOUN
ejpam-6110	263	20	∩	∩	NOUN
ejpam-6110	263	21	(	(	PUNCT
ejpam-6110	263	22	eb∗	eb∗	ADP
ejpam-6110	263	23	∪	∪	PROPN
ejpam-6110	263	24	ec	ec	PROPN
ejpam-6110	263	25	)	)	PUNCT
ejpam-6110	263	26	=	=	PUNCT
ejpam-6110	263	27	(	(	PUNCT
ejpam-6110	263	28	ea∗	ea∗	NOUN
ejpam-6110	263	29	∩	∩	NOUN
ejpam-6110	263	30	eb∗	eb∗	NOUN
ejpam-6110	263	31	)	)	PUNCT
ejpam-6110	263	32	∪	∪	NOUN
ejpam-6110	263	33	(	(	PUNCT
ejpam-6110	263	34	ea∗	ea∗	NOUN
ejpam-6110	263	35	∩	∩	ADJ
ejpam-6110	263	36	ec	ec	PROPN
ejpam-6110	263	37	)	)	PUNCT
ejpam-6110	263	38	and	and	CCONJ
ejpam-6110	263	39	ea∗	ea∗	NOUN
ejpam-6110	263	40	∩	∩	NOUN
ejpam-6110	263	41	(	(	PUNCT
ejpam-6110	263	42	eb∗	eb∗	ADP
ejpam-6110	263	43	∪	∪	PROPN
ejpam-6110	263	44	ec	ec	PROPN
ejpam-6110	263	45	)	)	PUNCT
ejpam-6110	263	46	=	=	SYM
ejpam-6110	263	47	∨	∨	X
ejpam-6110	263	48	{	{	PUNCT
ejpam-6110	263	49	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	263	50	−aµa∗	−aµa∗	NOUN
ejpam-6110	263	51	(	(	PUNCT
ejpam-6110	263	52	ς̃∗),∧	ς̃∗),∧	NOUN
ejpam-6110	263	53	{	{	PUNCT
ejpam-6110	263	54	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	263	55	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	263	56	)	)	PUNCT
ejpam-6110	263	57	,	,	PUNCT
ejpam-6110	263	58	λc(ς̃∗)e	λc(ς̃∗)e	NOUN
ejpam-6110	263	59	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	263	60	)	)	PUNCT
ejpam-6110	263	61	}	}	PUNCT
ejpam-6110	263	62	}	}	PUNCT
ejpam-6110	263	63	=	=	SYM
ejpam-6110	263	64	∨	∨	X
ejpam-6110	263	65	{	{	PUNCT
ejpam-6110	263	66	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	263	67	−aλa∗	−aλa∗	PRON
ejpam-6110	263	68	(	(	PUNCT
ejpam-6110	263	69	ς̃∗	ς̃∗	NOUN
ejpam-6110	263	70	)	)	PUNCT
ejpam-6110	263	71	,	,	PUNCT
ejpam-6110	263	72	λc(ς̃∗)e	λc(ς̃∗)e	X
ejpam-6110	263	73	−aµc(ς̃∗	−aµc(ς̃∗	X
ejpam-6110	263	74	)	)	PUNCT
ejpam-6110	263	75	}	}	PUNCT
ejpam-6110	263	76	m.	m.	NOUN
ejpam-6110	263	77	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	263	78	et	et	PROPN
ejpam-6110	263	79	al	al	PROPN
ejpam-6110	263	80	.	.	PUNCT
ejpam-6110	263	81	/	/	SYM
ejpam-6110	263	82	eur	eur	PROPN
ejpam-6110	263	83	.	.	PUNCT
ejpam-6110	264	1	j.	j.	PROPN
ejpam-6110	264	2	pure	pure	PROPN
ejpam-6110	264	3	appl	appl	PROPN
ejpam-6110	264	4	.	.	PROPN
ejpam-6110	264	5	math	math	PROPN
ejpam-6110	264	6	,	,	PUNCT
ejpam-6110	264	7	18	18	NUM
ejpam-6110	264	8	(	(	PUNCT
ejpam-6110	264	9	3	3	NUM
ejpam-6110	264	10	)	)	PUNCT
ejpam-6110	264	11	(	(	PUNCT
ejpam-6110	264	12	2025	2025	NUM
ejpam-6110	264	13	)	)	PUNCT
ejpam-6110	264	14	,	,	PUNCT
ejpam-6110	264	15	6110	6110	NUM
ejpam-6110	264	16	14	14	NUM
ejpam-6110	264	17	of	of	ADP
ejpam-6110	264	18	20	20	NUM
ejpam-6110	264	19	=	=	SYM
ejpam-6110	264	20	λa∗(ς̃∗)e	λa∗(ς̃∗)e	NOUN
ejpam-6110	264	21	−aλa∗	−aλa∗	NUM
ejpam-6110	264	22	(	(	PUNCT
ejpam-6110	264	23	ς̃∗	ς̃∗	PROPN
ejpam-6110	264	24	)	)	PUNCT
ejpam-6110	264	25	.	.	PUNCT
ejpam-6110	265	1	(	(	PUNCT
ejpam-6110	265	2	3.16	3.16	NUM
ejpam-6110	265	3	)	)	PUNCT
ejpam-6110	265	4	(	(	PUNCT
ejpam-6110	265	5	ea∗	ea∗	NOUN
ejpam-6110	265	6	∩	∩	NOUN
ejpam-6110	265	7	eb∗	eb∗	NOUN
ejpam-6110	265	8	)	)	PUNCT
ejpam-6110	265	9	∪	∪	NOUN
ejpam-6110	265	10	(	(	PUNCT
ejpam-6110	265	11	ea∗	ea∗	NOUN
ejpam-6110	265	12	∩	∩	ADJ
ejpam-6110	265	13	ec	ec	PROPN
ejpam-6110	265	14	)	)	PUNCT
ejpam-6110	266	1	=	=	SYM
ejpam-6110	266	2	∧	∧	PROPN
ejpam-6110	266	3	{	{	PUNCT
ejpam-6110	266	4	∨	∨	X
ejpam-6110	266	5	{	{	PUNCT
ejpam-6110	266	6	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	266	7	−aλa∗	−aλa∗	PRON
ejpam-6110	266	8	(	(	PUNCT
ejpam-6110	266	9	ς̃∗	ς̃∗	NOUN
ejpam-6110	266	10	)	)	PUNCT
ejpam-6110	266	11	,	,	PUNCT
ejpam-6110	266	12	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	266	13	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	266	14	)	)	PUNCT
ejpam-6110	266	15	}	}	PUNCT
ejpam-6110	266	16	,	,	PUNCT
ejpam-6110	266	17	(	(	PUNCT
ejpam-6110	266	18	3.17	3.17	NUM
ejpam-6110	266	19	)	)	PUNCT
ejpam-6110	266	20	∨	∨	NUM
ejpam-6110	266	21	{	{	PUNCT
ejpam-6110	266	22	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	266	23	−aλa∗	−aλa∗	PRON
ejpam-6110	266	24	(	(	PUNCT
ejpam-6110	266	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	266	26	)	)	PUNCT
ejpam-6110	266	27	,	,	PUNCT
ejpam-6110	266	28	λc(ς̃∗)e	λc(ς̃∗)e	X
ejpam-6110	266	29	−aλc(ς̃∗	−aλc(ς̃∗	NOUN
ejpam-6110	266	30	)	)	PUNCT
ejpam-6110	266	31	}	}	PUNCT
ejpam-6110	266	32	}	}	PUNCT
ejpam-6110	266	33	=	=	SYM
ejpam-6110	266	34	∧	∧	NOUN
ejpam-6110	266	35	{	{	PUNCT
ejpam-6110	266	36	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	266	37	−aλa∗	−aλa∗	PRON
ejpam-6110	266	38	(	(	PUNCT
ejpam-6110	266	39	ς̃∗	ς̃∗	NOUN
ejpam-6110	266	40	)	)	PUNCT
ejpam-6110	266	41	,	,	PUNCT
ejpam-6110	266	42	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	266	43	−aµa∗	−aµa∗	NOUN
ejpam-6110	266	44	(	(	PUNCT
ejpam-6110	266	45	ς̃∗	ς̃∗	NOUN
ejpam-6110	266	46	)	)	PUNCT
ejpam-6110	266	47	}	}	PUNCT
ejpam-6110	266	48	=	=	PUNCT
ejpam-6110	267	1	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	267	2	−aλa∗	−aλa∗	NUM
ejpam-6110	267	3	(	(	PUNCT
ejpam-6110	267	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	267	5	)	)	PUNCT
ejpam-6110	267	6	(	(	PUNCT
ejpam-6110	267	7	3.18	3.18	NUM
ejpam-6110	267	8	)	)	PUNCT
ejpam-6110	267	9	from	from	ADP
ejpam-6110	267	10	equation	equation	NOUN
ejpam-6110	267	11	(	(	PUNCT
ejpam-6110	267	12	3.16	3.16	NUM
ejpam-6110	267	13	)	)	PUNCT
ejpam-6110	267	14	and	and	CCONJ
ejpam-6110	267	15	(	(	PUNCT
ejpam-6110	267	16	3.18	3.18	NUM
ejpam-6110	267	17	)	)	PUNCT
ejpam-6110	267	18	ea∗	ea∗	NOUN
ejpam-6110	267	19	∩	∩	NOUN
ejpam-6110	267	20	(	(	PUNCT
ejpam-6110	267	21	eb∗	eb∗	ADP
ejpam-6110	267	22	∪	∪	PROPN
ejpam-6110	267	23	ec	ec	PROPN
ejpam-6110	267	24	)	)	PUNCT
ejpam-6110	267	25	=	=	PUNCT
ejpam-6110	267	26	(	(	PUNCT
ejpam-6110	267	27	ea∗	ea∗	NOUN
ejpam-6110	267	28	∩	∩	NOUN
ejpam-6110	267	29	eb∗	eb∗	NOUN
ejpam-6110	267	30	)	)	PUNCT
ejpam-6110	267	31	∪	∪	NOUN
ejpam-6110	267	32	(	(	PUNCT
ejpam-6110	267	33	ea∗	ea∗	NOUN
ejpam-6110	267	34	∩	∩	ADJ
ejpam-6110	267	35	ec	ec	PROPN
ejpam-6110	267	36	)	)	PUNCT
ejpam-6110	267	37	theorem	theorem	VERB
ejpam-6110	267	38	3	3	NUM
ejpam-6110	267	39	.	.	X
ejpam-6110	268	1	for	for	ADP
ejpam-6110	268	2	any	any	DET
ejpam-6110	268	3	two	two	NUM
ejpam-6110	268	4	eifss	eifss	ADJ
ejpam-6110	268	5	ea∗	ea∗	NOUN
ejpam-6110	268	6	=	=	SYM
ejpam-6110	268	7	⟨µea∗	⟨µea∗	PROPN
ejpam-6110	268	8	and	and	CCONJ
ejpam-6110	268	9	λea∗	λea∗	PROPN
ejpam-6110	268	10	⟩	⟩	NOUN
ejpam-6110	268	11	,	,	PUNCT
ejpam-6110	268	12	eb∗	eb∗	NOUN
ejpam-6110	269	1	=	=	SYM
ejpam-6110	269	2	⟨µeb∗	⟨µeb∗	NOUN
ejpam-6110	269	3	,	,	PUNCT
ejpam-6110	269	4	λeb∗	λeb∗	ADJ
ejpam-6110	269	5	⟩	⟩	NOUN
ejpam-6110	269	6	on	on	ADP
ejpam-6110	269	7	a	a	DET
ejpam-6110	269	8	universe	universe	NOUN
ejpam-6110	269	9	of	of	ADP
ejpam-6110	269	10	discourse	discourse	NOUN
ejpam-6110	269	11	x	x	PUNCT
ejpam-6110	269	12	satisfy	satisfy	VERB
ejpam-6110	269	13	the	the	DET
ejpam-6110	269	14	following	follow	VERB
ejpam-6110	269	15	(	(	PUNCT
ejpam-6110	269	16	i	i	NOUN
ejpam-6110	269	17	)	)	PUNCT
ejpam-6110	269	18	(	(	PUNCT
ejpam-6110	269	19	ea∗	ea∗	NOUN
ejpam-6110	269	20	∩	∩	NOUN
ejpam-6110	269	21	eb∗	eb∗	NOUN
ejpam-6110	269	22	)	)	PUNCT
ejpam-6110	269	23	c	c	NOUN
ejpam-6110	270	1	=	=	SYM
ejpam-6110	270	2	(	(	PUNCT
ejpam-6110	270	3	eb∗	eb∗	PROPN
ejpam-6110	270	4	)	)	PUNCT
ejpam-6110	270	5	c	c	NOUN
ejpam-6110	270	6	∪	∪	X
ejpam-6110	270	7	(	(	PUNCT
ejpam-6110	270	8	ea∗	ea∗	NOUN
ejpam-6110	270	9	)	)	PUNCT
ejpam-6110	270	10	c	c	PROPN
ejpam-6110	270	11	and	and	CCONJ
ejpam-6110	270	12	(	(	PUNCT
ejpam-6110	270	13	ii	ii	NOUN
ejpam-6110	270	14	)	)	PUNCT
ejpam-6110	270	15	(	(	PUNCT
ejpam-6110	270	16	ea∗	ea∗	NOUN
ejpam-6110	270	17	∪	∪	ADP
ejpam-6110	270	18	eb∗	eb∗	NOUN
ejpam-6110	270	19	)	)	PUNCT
ejpam-6110	270	20	c	c	NOUN
ejpam-6110	270	21	=	=	SYM
ejpam-6110	270	22	(	(	PUNCT
ejpam-6110	270	23	eb∗	eb∗	PROPN
ejpam-6110	270	24	)	)	PUNCT
ejpam-6110	270	25	c	c	NOUN
ejpam-6110	270	26	∩	∩	X
ejpam-6110	270	27	(	(	PUNCT
ejpam-6110	270	28	ea∗	ea∗	NOUN
ejpam-6110	270	29	)	)	PUNCT
ejpam-6110	270	30	c.	c.	NOUN
ejpam-6110	270	31	proof	proof	NOUN
ejpam-6110	270	32	.	.	PUNCT
ejpam-6110	271	1	(	(	PUNCT
ejpam-6110	271	2	i	i	NOUN
ejpam-6110	271	3	)	)	PUNCT
ejpam-6110	271	4	let	let	VERB
ejpam-6110	271	5	ea∗	ea∗	NOUN
ejpam-6110	271	6	and	and	CCONJ
ejpam-6110	271	7	eb∗	eb∗	ADV
ejpam-6110	271	8	be	be	AUX
ejpam-6110	271	9	two	two	NUM
ejpam-6110	271	10	eifss	eifss	ADJ
ejpam-6110	271	11	and	and	CCONJ
ejpam-6110	271	12	µea∗	µea∗	NOUN
ejpam-6110	271	13	(	(	PUNCT
ejpam-6110	271	14	ς̃∗	ς̃∗	NOUN
ejpam-6110	271	15	)	)	PUNCT
ejpam-6110	271	16	=	=	SYM
ejpam-6110	272	1	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	272	2	−aµa∗	−aµa∗	NOUN
ejpam-6110	272	3	(	(	PUNCT
ejpam-6110	272	4	ς̃∗	ς̃∗	NOUN
ejpam-6110	272	5	)	)	PUNCT
ejpam-6110	272	6	and	and	CCONJ
ejpam-6110	272	7	µeb∗	µeb∗	ADV
ejpam-6110	272	8	(	(	PUNCT
ejpam-6110	272	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	272	10	)	)	PUNCT
ejpam-6110	272	11	=	=	SYM
ejpam-6110	272	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	272	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	272	14	(	(	PUNCT
ejpam-6110	272	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	272	16	)	)	PUNCT
ejpam-6110	272	17	,	,	PUNCT
ejpam-6110	272	18	λea∗	λea∗	PROPN
ejpam-6110	272	19	(	(	PUNCT
ejpam-6110	272	20	ς̃∗	ς̃∗	PROPN
ejpam-6110	272	21	)	)	PUNCT
ejpam-6110	272	22	=	=	VERB
ejpam-6110	272	23	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	272	24	−aλa∗	−aλa∗	NUM
ejpam-6110	272	25	(	(	PUNCT
ejpam-6110	272	26	ς̃∗	ς̃∗	NOUN
ejpam-6110	272	27	)	)	PUNCT
ejpam-6110	272	28	and	and	CCONJ
ejpam-6110	272	29	λeb∗	λeb∗	PROPN
ejpam-6110	272	30	(	(	PUNCT
ejpam-6110	272	31	ς̃∗	ς̃∗	PROPN
ejpam-6110	272	32	)	)	PUNCT
ejpam-6110	272	33	=	=	PUNCT
ejpam-6110	272	34	λb(ς̃∗)e	λb(ς̃∗)e	PROPN
ejpam-6110	272	35	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	272	36	)	)	PUNCT
ejpam-6110	272	37	represent	represent	VERB
ejpam-6110	272	38	their	their	PRON
ejpam-6110	272	39	m	m	NOUN
ejpam-6110	272	40	and	and	CCONJ
ejpam-6110	272	41	nmf	nmf	PROPN
ejpam-6110	272	42	,	,	PUNCT
ejpam-6110	272	43	respectively	respectively	ADV
ejpam-6110	272	44	.	.	PUNCT
ejpam-6110	273	1	for	for	ADP
ejpam-6110	273	2	mf	mf	PROPN
ejpam-6110	273	3	(	(	PUNCT
ejpam-6110	273	4	ea∗	ea∗	NOUN
ejpam-6110	273	5	∩	∩	NOUN
ejpam-6110	273	6	eb∗	eb∗	NOUN
ejpam-6110	273	7	)	)	PUNCT
ejpam-6110	273	8	c	c	NOUN
ejpam-6110	273	9	=	=	SYM
ejpam-6110	273	10	µa∗∩b∗(ς̃∗	µa∗∩b∗(ς̃∗	NOUN
ejpam-6110	273	11	)	)	PUNCT
ejpam-6110	273	12	′	′	NUM
ejpam-6110	273	13	e−aµa∗∩b∗	e−aµa∗∩b∗	PROPN
ejpam-6110	273	14	(	(	PUNCT
ejpam-6110	273	15	ς̃∗	ς̃∗	PROPN
ejpam-6110	273	16	)	)	PUNCT
ejpam-6110	273	17	′	′	NUM
ejpam-6110	274	1	=	=	PUNCT
ejpam-6110	275	1	[	[	PUNCT
ejpam-6110	275	2	1−	1−	NUM
ejpam-6110	275	3	∧	∧	PROPN
ejpam-6110	275	4	{	{	PUNCT
ejpam-6110	275	5	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	275	6	−aµa∗	−aµa∗	NOUN
ejpam-6110	275	7	(	(	PUNCT
ejpam-6110	275	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	9	)	)	PUNCT
ejpam-6110	275	10	∩	∩	NOUN
ejpam-6110	275	11	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	275	12	−aµb∗	−aµb∗	NOUN
ejpam-6110	275	13	(	(	PUNCT
ejpam-6110	275	14	ς̃∗	ς̃∗	PROPN
ejpam-6110	275	15	)	)	PUNCT
ejpam-6110	275	16	}	}	PUNCT
ejpam-6110	275	17	]	]	PUNCT
ejpam-6110	275	18	=	=	PUNCT
ejpam-6110	275	19	∨	∨	X
ejpam-6110	275	20	{	{	PUNCT
ejpam-6110	275	21	1−	1−	NUM
ejpam-6110	275	22	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	275	23	−aµa∗	−aµa∗	NOUN
ejpam-6110	275	24	(	(	PUNCT
ejpam-6110	275	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	26	)	)	PUNCT
ejpam-6110	275	27	,	,	PUNCT
ejpam-6110	275	28	1−	1−	NUM
ejpam-6110	275	29	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	275	30	−aµb∗	−aµb∗	NOUN
ejpam-6110	275	31	(	(	PUNCT
ejpam-6110	275	32	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	33	)	)	PUNCT
ejpam-6110	275	34	}	}	PUNCT
ejpam-6110	275	35	=	=	SYM
ejpam-6110	275	36	∨	∨	X
ejpam-6110	275	37	{	{	PUNCT
ejpam-6110	275	38	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	275	39	)	)	PUNCT
ejpam-6110	275	40	′	′	NUM
ejpam-6110	275	41	e−aµa∗	e−aµa∗	NUM
ejpam-6110	275	42	(	(	PUNCT
ejpam-6110	275	43	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	44	)	)	PUNCT
ejpam-6110	275	45	′	′	NUM
ejpam-6110	275	46	,	,	PUNCT
ejpam-6110	275	47	µb∗(ς̃∗	µb∗(ς̃∗	PROPN
ejpam-6110	275	48	)	)	PUNCT
ejpam-6110	275	49	′	′	NUM
ejpam-6110	275	50	e−aµb∗	e−aµb∗	X
ejpam-6110	275	51	(	(	PUNCT
ejpam-6110	275	52	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	53	)	)	PUNCT
ejpam-6110	275	54	′	′	NOUN
ejpam-6110	275	55	}	}	PUNCT
ejpam-6110	275	56	=	=	PRON
ejpam-6110	275	57	{	{	PUNCT
ejpam-6110	275	58	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	275	59	)	)	PUNCT
ejpam-6110	275	60	′	′	NUM
ejpam-6110	275	61	e−aµa∗	e−aµa∗	NUM
ejpam-6110	275	62	(	(	PUNCT
ejpam-6110	275	63	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	64	)	)	PUNCT
ejpam-6110	275	65	′	′	NOUN
ejpam-6110	275	66	∪	∪	X
ejpam-6110	275	67	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	275	68	)	)	PUNCT
ejpam-6110	275	69	′	′	NUM
ejpam-6110	275	70	e−aµb∗	e−aµb∗	X
ejpam-6110	275	71	(	(	PUNCT
ejpam-6110	275	72	ς̃∗	ς̃∗	NOUN
ejpam-6110	275	73	)	)	PUNCT
ejpam-6110	275	74	′	′	NOUN
ejpam-6110	275	75	}	}	PUNCT
ejpam-6110	275	76	=	=	SYM
ejpam-6110	275	77	(	(	PUNCT
ejpam-6110	275	78	eb∗	eb∗	NOUN
ejpam-6110	275	79	)	)	PUNCT
ejpam-6110	275	80	c	c	NOUN
ejpam-6110	275	81	∪	∪	X
ejpam-6110	275	82	(	(	PUNCT
ejpam-6110	275	83	ea∗	ea∗	NOUN
ejpam-6110	275	84	)	)	PUNCT
ejpam-6110	275	85	c.	c.	NOUN
ejpam-6110	275	86	for	for	ADP
ejpam-6110	275	87	n−mf	n−mf	PROPN
ejpam-6110	275	88	,	,	PUNCT
ejpam-6110	275	89	(	(	PUNCT
ejpam-6110	275	90	ea∗	ea∗	NOUN
ejpam-6110	275	91	∩	∩	NOUN
ejpam-6110	275	92	eb∗	eb∗	NOUN
ejpam-6110	275	93	)	)	PUNCT
ejpam-6110	275	94	c	c	NOUN
ejpam-6110	276	1	=	=	SYM
ejpam-6110	276	2	λa∗∩b∗(ς̃∗	λa∗∩b∗(ς̃∗	NOUN
ejpam-6110	276	3	)	)	PUNCT
ejpam-6110	276	4	′	′	NUM
ejpam-6110	277	1	e−aλa∗∩b∗	e−aλa∗∩b∗	PROPN
ejpam-6110	277	2	(	(	PUNCT
ejpam-6110	277	3	ς̃∗	ς̃∗	PROPN
ejpam-6110	277	4	)	)	PUNCT
ejpam-6110	277	5	′	′	NUM
ejpam-6110	278	1	=	=	PUNCT
ejpam-6110	278	2	[	[	PUNCT
ejpam-6110	278	3	1−	1−	NUM
ejpam-6110	278	4	∧	∧	PROPN
ejpam-6110	278	5	{	{	PUNCT
ejpam-6110	278	6	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	278	7	−aλa∗	−aλa∗	PRON
ejpam-6110	278	8	(	(	PUNCT
ejpam-6110	278	9	ς̃∗	ς̃∗	NOUN
ejpam-6110	278	10	)	)	PUNCT
ejpam-6110	278	11	∩	∩	NOUN
ejpam-6110	278	12	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	278	13	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	278	14	)	)	PUNCT
ejpam-6110	278	15	}	}	PUNCT
ejpam-6110	278	16	]	]	PUNCT
ejpam-6110	279	1	=	=	PUNCT
ejpam-6110	279	2	∨	∨	X
ejpam-6110	279	3	{	{	PUNCT
ejpam-6110	279	4	1−	1−	NUM
ejpam-6110	279	5	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	279	6	−aλa∗	−aλa∗	PRON
ejpam-6110	279	7	(	(	PUNCT
ejpam-6110	279	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	279	9	)	)	PUNCT
ejpam-6110	279	10	,	,	PUNCT
ejpam-6110	279	11	1−	1−	NUM
ejpam-6110	279	12	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	279	13	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	279	14	)	)	PUNCT
ejpam-6110	279	15	}	}	PUNCT
ejpam-6110	279	16	=	=	PUNCT
ejpam-6110	279	17	∨	∨	X
ejpam-6110	279	18	{	{	PUNCT
ejpam-6110	279	19	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	279	20	)	)	PUNCT
ejpam-6110	279	21	′	′	NUM
ejpam-6110	279	22	e−aλa∗	e−aλa∗	NUM
ejpam-6110	279	23	(	(	PUNCT
ejpam-6110	279	24	ς̃∗	ς̃∗	NOUN
ejpam-6110	279	25	)	)	PUNCT
ejpam-6110	279	26	′	′	NUM
ejpam-6110	279	27	,	,	PUNCT
ejpam-6110	279	28	λb(ς̃∗	λb(ς̃∗	NOUN
ejpam-6110	279	29	)	)	PUNCT
ejpam-6110	279	30	′	′	NUM
ejpam-6110	279	31	e−aλb(ς̃∗	e−aλb(ς̃∗	NOUN
ejpam-6110	279	32	)	)	PUNCT
ejpam-6110	279	33	′	′	NUM
ejpam-6110	279	34	}	}	PUNCT
ejpam-6110	279	35	=	=	PRON
ejpam-6110	279	36	{	{	PUNCT
ejpam-6110	279	37	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	279	38	)	)	PUNCT
ejpam-6110	279	39	′	′	NUM
ejpam-6110	279	40	e−aλa∗	e−aλa∗	NUM
ejpam-6110	279	41	(	(	PUNCT
ejpam-6110	279	42	ς̃∗	ς̃∗	NOUN
ejpam-6110	279	43	)	)	PUNCT
ejpam-6110	279	44	′	′	NOUN
ejpam-6110	279	45	∪	∪	X
ejpam-6110	279	46	λb(ς̃∗	λb(ς̃∗	NOUN
ejpam-6110	279	47	)	)	PUNCT
ejpam-6110	279	48	′	′	NUM
ejpam-6110	279	49	e−aλb(ς̃∗	e−aλb(ς̃∗	NOUN
ejpam-6110	279	50	)	)	PUNCT
ejpam-6110	279	51	′	′	NUM
ejpam-6110	279	52	}	}	PUNCT
ejpam-6110	279	53	=	=	SYM
ejpam-6110	279	54	(	(	PUNCT
ejpam-6110	279	55	eb∗	eb∗	NOUN
ejpam-6110	279	56	)	)	PUNCT
ejpam-6110	279	57	c	c	NOUN
ejpam-6110	279	58	∪	∪	X
ejpam-6110	279	59	(	(	PUNCT
ejpam-6110	279	60	ea∗	ea∗	NOUN
ejpam-6110	279	61	)	)	PUNCT
ejpam-6110	279	62	c.	c.	PROPN
ejpam-6110	279	63	m.	m.	PROPN
ejpam-6110	279	64	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	279	65	et	et	PROPN
ejpam-6110	279	66	al	al	PROPN
ejpam-6110	279	67	.	.	PUNCT
ejpam-6110	279	68	/	/	SYM
ejpam-6110	279	69	eur	eur	PROPN
ejpam-6110	279	70	.	.	PUNCT
ejpam-6110	280	1	j.	j.	PROPN
ejpam-6110	280	2	pure	pure	PROPN
ejpam-6110	280	3	appl	appl	PROPN
ejpam-6110	280	4	.	.	PROPN
ejpam-6110	280	5	math	math	PROPN
ejpam-6110	280	6	,	,	PUNCT
ejpam-6110	280	7	18	18	NUM
ejpam-6110	280	8	(	(	PUNCT
ejpam-6110	280	9	3	3	NUM
ejpam-6110	280	10	)	)	PUNCT
ejpam-6110	280	11	(	(	PUNCT
ejpam-6110	280	12	2025	2025	NUM
ejpam-6110	280	13	)	)	PUNCT
ejpam-6110	280	14	,	,	PUNCT
ejpam-6110	280	15	6110	6110	NUM
ejpam-6110	280	16	15	15	NUM
ejpam-6110	280	17	of	of	ADP
ejpam-6110	280	18	20	20	NUM
ejpam-6110	280	19	(	(	PUNCT
ejpam-6110	280	20	ii	ii	NOUN
ejpam-6110	280	21	)	)	PUNCT
ejpam-6110	280	22	for	for	ADP
ejpam-6110	280	23	m	m	PROPN
ejpam-6110	280	24	function	function	NOUN
ejpam-6110	280	25	(	(	PUNCT
ejpam-6110	280	26	ea∗	ea∗	NOUN
ejpam-6110	280	27	∪	∪	ADP
ejpam-6110	280	28	eb∗	eb∗	NOUN
ejpam-6110	280	29	)	)	PUNCT
ejpam-6110	280	30	c	c	NOUN
ejpam-6110	280	31	=	=	PUNCT
ejpam-6110	280	32	µa∗∪b∗(ς̃∗	µa∗∪b∗(ς̃∗	X
ejpam-6110	280	33	)	)	PUNCT
ejpam-6110	280	34	′	′	NUM
ejpam-6110	281	1	e−aµa∗∪b∗	e−aµa∗∪b∗	CCONJ
ejpam-6110	281	2	(	(	PUNCT
ejpam-6110	281	3	ς̃∗	ς̃∗	NOUN
ejpam-6110	281	4	)	)	PUNCT
ejpam-6110	281	5	′	′	NOUN
ejpam-6110	282	1	=	=	PUNCT
ejpam-6110	283	1	[	[	PUNCT
ejpam-6110	283	2	1−	1−	NUM
ejpam-6110	283	3	∨	∨	NOUN
ejpam-6110	283	4	{	{	PUNCT
ejpam-6110	283	5	µa∗(ς̃∗)e	µa∗(ς̃∗)e	ADJ
ejpam-6110	283	6	−aµa∗	−aµa∗	NOUN
ejpam-6110	283	7	(	(	PUNCT
ejpam-6110	283	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	283	9	)	)	PUNCT
ejpam-6110	283	10	∪	∪	ADP
ejpam-6110	283	11	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	283	12	−aµb∗	−aµb∗	NOUN
ejpam-6110	283	13	(	(	PUNCT
ejpam-6110	283	14	ς̃∗	ς̃∗	PROPN
ejpam-6110	283	15	)	)	PUNCT
ejpam-6110	283	16	}	}	PUNCT
ejpam-6110	283	17	]	]	PUNCT
ejpam-6110	284	1	=	=	PUNCT
ejpam-6110	284	2	∧	∧	NOUN
ejpam-6110	284	3	{	{	PUNCT
ejpam-6110	284	4	1−	1−	NUM
ejpam-6110	284	5	µa∗(ς̃∗)e	µa∗(ς̃∗)e	NOUN
ejpam-6110	284	6	−aµa∗	−aµa∗	NOUN
ejpam-6110	284	7	(	(	PUNCT
ejpam-6110	284	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	284	9	)	)	PUNCT
ejpam-6110	284	10	,	,	PUNCT
ejpam-6110	284	11	1−	1−	NUM
ejpam-6110	284	12	µb∗(ς̃∗)e	µb∗(ς̃∗)e	NOUN
ejpam-6110	284	13	−aµb∗	−aµb∗	NOUN
ejpam-6110	284	14	(	(	PUNCT
ejpam-6110	284	15	ς̃∗	ς̃∗	NOUN
ejpam-6110	284	16	)	)	PUNCT
ejpam-6110	284	17	}	}	PUNCT
ejpam-6110	285	1	=	=	SYM
ejpam-6110	285	2	∧	∧	NOUN
ejpam-6110	285	3	{	{	PUNCT
ejpam-6110	285	4	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	285	5	)	)	PUNCT
ejpam-6110	285	6	′	′	NUM
ejpam-6110	285	7	e−aµa∗	e−aµa∗	NUM
ejpam-6110	285	8	(	(	PUNCT
ejpam-6110	285	9	ς̃∗	ς̃∗	NOUN
ejpam-6110	285	10	)	)	PUNCT
ejpam-6110	285	11	′	′	NUM
ejpam-6110	285	12	,	,	PUNCT
ejpam-6110	285	13	µb∗(ς̃∗	µb∗(ς̃∗	PROPN
ejpam-6110	285	14	)	)	PUNCT
ejpam-6110	285	15	′	′	NUM
ejpam-6110	285	16	e−aµb∗	e−aµb∗	X
ejpam-6110	285	17	(	(	PUNCT
ejpam-6110	285	18	ς̃∗	ς̃∗	NOUN
ejpam-6110	285	19	)	)	PUNCT
ejpam-6110	285	20	′	′	NOUN
ejpam-6110	285	21	}	}	PUNCT
ejpam-6110	285	22	=	=	PRON
ejpam-6110	285	23	{	{	PUNCT
ejpam-6110	285	24	µa∗(ς̃∗	µa∗(ς̃∗	NOUN
ejpam-6110	285	25	)	)	PUNCT
ejpam-6110	285	26	′	′	NUM
ejpam-6110	285	27	e−aµa∗	e−aµa∗	NUM
ejpam-6110	285	28	(	(	PUNCT
ejpam-6110	285	29	ς̃∗	ς̃∗	NOUN
ejpam-6110	285	30	)	)	PUNCT
ejpam-6110	285	31	′	′	NUM
ejpam-6110	285	32	∩	∩	ADJ
ejpam-6110	285	33	µb∗(ς̃∗	µb∗(ς̃∗	NOUN
ejpam-6110	285	34	)	)	PUNCT
ejpam-6110	285	35	′	′	NUM
ejpam-6110	285	36	e−aµb∗	e−aµb∗	X
ejpam-6110	285	37	(	(	PUNCT
ejpam-6110	285	38	ς̃∗	ς̃∗	NOUN
ejpam-6110	285	39	)	)	PUNCT
ejpam-6110	285	40	′	′	NOUN
ejpam-6110	285	41	}	}	PUNCT
ejpam-6110	285	42	=	=	SYM
ejpam-6110	285	43	(	(	PUNCT
ejpam-6110	285	44	eb∗	eb∗	NOUN
ejpam-6110	285	45	)	)	PUNCT
ejpam-6110	285	46	c	c	NOUN
ejpam-6110	285	47	∩	∩	X
ejpam-6110	285	48	(	(	PUNCT
ejpam-6110	285	49	ea∗	ea∗	NOUN
ejpam-6110	285	50	)	)	PUNCT
ejpam-6110	285	51	c.	c.	NOUN
ejpam-6110	285	52	for	for	ADP
ejpam-6110	285	53	nmf	nmf	PROPN
ejpam-6110	285	54	,	,	PUNCT
ejpam-6110	285	55	(	(	PUNCT
ejpam-6110	285	56	ea∗	ea∗	NOUN
ejpam-6110	285	57	∪	∪	ADP
ejpam-6110	285	58	eb∗	eb∗	NOUN
ejpam-6110	285	59	)	)	PUNCT
ejpam-6110	285	60	c	c	NOUN
ejpam-6110	285	61	=	=	SYM
ejpam-6110	285	62	λa∗∪b∗(ς̃∗	λa∗∪b∗(ς̃∗	X
ejpam-6110	285	63	)	)	PUNCT
ejpam-6110	285	64	′	′	NUM
ejpam-6110	285	65	e−aλa∗∪b∗	e−aλa∗∪b∗	NOUN
ejpam-6110	285	66	(	(	PUNCT
ejpam-6110	285	67	ς̃∗	ς̃∗	NOUN
ejpam-6110	285	68	)	)	PUNCT
ejpam-6110	285	69	′	′	NOUN
ejpam-6110	285	70	=	=	PUNCT
ejpam-6110	286	1	[	[	PUNCT
ejpam-6110	286	2	1−	1−	NUM
ejpam-6110	286	3	∨	∨	NOUN
ejpam-6110	286	4	{	{	PUNCT
ejpam-6110	286	5	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	286	6	−aλa∗	−aλa∗	PRON
ejpam-6110	286	7	(	(	PUNCT
ejpam-6110	286	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	286	9	)	)	PUNCT
ejpam-6110	286	10	∩	∩	NOUN
ejpam-6110	286	11	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	286	12	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	286	13	)	)	PUNCT
ejpam-6110	286	14	}	}	PUNCT
ejpam-6110	286	15	]	]	PUNCT
ejpam-6110	287	1	=	=	PUNCT
ejpam-6110	287	2	∧	∧	NOUN
ejpam-6110	287	3	{	{	PUNCT
ejpam-6110	287	4	1−	1−	NUM
ejpam-6110	287	5	λa∗(ς̃∗)e	λa∗(ς̃∗)e	ADJ
ejpam-6110	287	6	−aλa∗	−aλa∗	PRON
ejpam-6110	287	7	(	(	PUNCT
ejpam-6110	287	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	287	9	)	)	PUNCT
ejpam-6110	287	10	,	,	PUNCT
ejpam-6110	287	11	1−	1−	NUM
ejpam-6110	287	12	λb(ς̃∗)e	λb(ς̃∗)e	X
ejpam-6110	287	13	−aλb(ς̃∗	−aλb(ς̃∗	PROPN
ejpam-6110	287	14	)	)	PUNCT
ejpam-6110	287	15	}	}	PUNCT
ejpam-6110	288	1	=	=	SYM
ejpam-6110	288	2	∧	∧	PROPN
ejpam-6110	288	3	{	{	PUNCT
ejpam-6110	288	4	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	288	5	)	)	PUNCT
ejpam-6110	288	6	′	′	NUM
ejpam-6110	289	1	e−aλa∗	e−aλa∗	NUM
ejpam-6110	289	2	(	(	PUNCT
ejpam-6110	289	3	ς̃∗	ς̃∗	NOUN
ejpam-6110	289	4	)	)	PUNCT
ejpam-6110	289	5	′	′	NUM
ejpam-6110	289	6	,	,	PUNCT
ejpam-6110	289	7	λb(ς̃∗	λb(ς̃∗	NOUN
ejpam-6110	289	8	)	)	PUNCT
ejpam-6110	289	9	′	′	NUM
ejpam-6110	289	10	e−aλb(ς̃∗	e−aλb(ς̃∗	NOUN
ejpam-6110	289	11	)	)	PUNCT
ejpam-6110	289	12	′	′	NUM
ejpam-6110	289	13	}	}	PUNCT
ejpam-6110	289	14	=	=	PRON
ejpam-6110	289	15	{	{	PUNCT
ejpam-6110	289	16	λa∗(ς̃∗	λa∗(ς̃∗	PROPN
ejpam-6110	289	17	)	)	PUNCT
ejpam-6110	289	18	′	′	NUM
ejpam-6110	290	1	e−aλa∗	e−aλa∗	NUM
ejpam-6110	290	2	(	(	PUNCT
ejpam-6110	290	3	ς̃∗	ς̃∗	NOUN
ejpam-6110	290	4	)	)	PUNCT
ejpam-6110	290	5	′	′	NUM
ejpam-6110	290	6	∩	∩	ADJ
ejpam-6110	290	7	λb(ς̃∗	λb(ς̃∗	NOUN
ejpam-6110	290	8	)	)	PUNCT
ejpam-6110	290	9	′	′	NUM
ejpam-6110	290	10	e−aλb(ς̃∗	e−aλb(ς̃∗	NOUN
ejpam-6110	290	11	)	)	PUNCT
ejpam-6110	290	12	′	′	NUM
ejpam-6110	290	13	}	}	PUNCT
ejpam-6110	290	14	=	=	SYM
ejpam-6110	290	15	(	(	PUNCT
ejpam-6110	290	16	eb∗	eb∗	NOUN
ejpam-6110	290	17	)	)	PUNCT
ejpam-6110	290	18	c	c	NOUN
ejpam-6110	290	19	∩	∩	X
ejpam-6110	290	20	(	(	PUNCT
ejpam-6110	290	21	ea∗	ea∗	NOUN
ejpam-6110	290	22	)	)	PUNCT
ejpam-6110	290	23	c.	c.	NOUN
ejpam-6110	290	24	4	4	NUM
ejpam-6110	290	25	.	.	PUNCT
ejpam-6110	290	26	methodology	methodology	NOUN
ejpam-6110	290	27	for	for	ADP
ejpam-6110	290	28	decision	decision	NOUN
ejpam-6110	290	29	-	-	PUNCT
ejpam-6110	290	30	making	making	NOUN
ejpam-6110	290	31	using	use	VERB
ejpam-6110	290	32	exponential	exponential	ADJ
ejpam-6110	290	33	intuitionstic	intuitionstic	ADJ
ejpam-6110	290	34	fuzzy	fuzzy	ADJ
ejpam-6110	290	35	sets	set	NOUN
ejpam-6110	290	36	eifss	eifss	ADV
ejpam-6110	290	37	offer	offer	VERB
ejpam-6110	290	38	a	a	DET
ejpam-6110	290	39	flexible	flexible	ADJ
ejpam-6110	290	40	approach	approach	NOUN
ejpam-6110	290	41	to	to	ADP
ejpam-6110	290	42	decision	decision	NOUN
ejpam-6110	290	43	-	-	PUNCT
ejpam-6110	290	44	making	making	NOUN
ejpam-6110	290	45	,	,	PUNCT
ejpam-6110	290	46	particularly	particularly	ADV
ejpam-6110	290	47	where	where	SCONJ
ejpam-6110	290	48	uncertainty	uncertainty	NOUN
ejpam-6110	290	49	,	,	PUNCT
ejpam-6110	290	50	imprecision	imprecision	NOUN
ejpam-6110	290	51	,	,	PUNCT
ejpam-6110	290	52	and	and	CCONJ
ejpam-6110	290	53	hesitancy	hesitancy	NOUN
ejpam-6110	290	54	play	play	VERB
ejpam-6110	290	55	a	a	DET
ejpam-6110	290	56	role	role	NOUN
ejpam-6110	290	57	.	.	PUNCT
ejpam-6110	291	1	eifs	eifs	PROPN
ejpam-6110	291	2	facilitate	facilitate	VERB
ejpam-6110	291	3	decision	decision	NOUN
ejpam-6110	291	4	-	-	PUNCT
ejpam-6110	291	5	making	making	NOUN
ejpam-6110	291	6	by	by	ADP
ejpam-6110	291	7	integrating	integrate	VERB
ejpam-6110	291	8	several	several	ADJ
ejpam-6110	291	9	sources	source	NOUN
ejpam-6110	291	10	of	of	ADP
ejpam-6110	291	11	information	information	NOUN
ejpam-6110	291	12	using	use	VERB
ejpam-6110	291	13	appropriate	appropriate	ADJ
ejpam-6110	291	14	aggregation	aggregation	NOUN
ejpam-6110	291	15	techniques	technique	NOUN
ejpam-6110	291	16	.	.	PUNCT
ejpam-6110	292	1	sept	sept	PROPN
ejpam-6110	292	2	1	1	NUM
ejpam-6110	292	3	suppose	suppose	VERB
ejpam-6110	292	4	you	you	PRON
ejpam-6110	292	5	have	have	VERB
ejpam-6110	292	6	n	n	PRON
ejpam-6110	292	7	distinct	distinct	ADJ
ejpam-6110	292	8	possibilities	possibility	NOUN
ejpam-6110	292	9	.	.	PUNCT
ejpam-6110	292	10	,	,	PUNCT
ejpam-6110	293	1	l	l	NOUN
ejpam-6110	293	2	=	=	SYM
ejpam-6110	293	3	{	{	PUNCT
ejpam-6110	293	4	l1,l2,l3	l1,l2,l3	PROPN
ejpam-6110	293	5	,	,	PUNCT
ejpam-6110	293	6	...	...	PUNCT
ejpam-6110	294	1	ln	ln	X
ejpam-6110	294	2	}	}	PUNCT
ejpam-6110	294	3	in	in	ADP
ejpam-6110	294	4	a	a	DET
ejpam-6110	294	5	multiattributes	multiattribute	NOUN
ejpam-6110	294	6	a.	a.	NOUN
ejpam-6110	294	7	the	the	DET
ejpam-6110	294	8	issue	issue	NOUN
ejpam-6110	294	9	and	and	CCONJ
ejpam-6110	294	10	m	m	NOUN
ejpam-6110	294	11	are	be	AUX
ejpam-6110	294	12	various	various	ADJ
ejpam-6110	294	13	standards	standard	NOUN
ejpam-6110	294	14	from	from	ADP
ejpam-6110	294	15	the	the	DET
ejpam-6110	294	16	index	index	NOUN
ejpam-6110	294	17	set	set	VERB
ejpam-6110	294	18	a	a	PRON
ejpam-6110	294	19	=	=	X
ejpam-6110	294	20	{	{	PUNCT
ejpam-6110	294	21	a1,a2,a3	a1,a2,a3	PROPN
ejpam-6110	294	22	,	,	PUNCT
ejpam-6110	294	23	...	...	PUNCT
ejpam-6110	294	24	am	be	AUX
ejpam-6110	294	25	}	}	PUNCT
ejpam-6110	294	26	.	.	PUNCT
ejpam-6110	295	1	the	the	DET
ejpam-6110	295	2	alternatives	alternative	NOUN
ejpam-6110	295	3	attribute	attribute	NOUN
ejpam-6110	295	4	value	value	NOUN
ejpam-6110	295	5	lr	lr	NOUN
ejpam-6110	295	6	for	for	ADP
ejpam-6110	295	7	index	index	NOUN
ejpam-6110	295	8	fp	fp	PROPN
ejpam-6110	295	9	is	be	AUX
ejpam-6110	295	10	esr	esr	PROPN
ejpam-6110	295	11	=	=	PROPN
ejpam-6110	295	12	〈	〈	PROPN
ejpam-6110	295	13	µesr(ς̃∗)e	µesr(ς̃∗)e	PROPN
ejpam-6110	295	14	−α(µesr	−α(µesr	PUNCT
ejpam-6110	295	15	(	(	PUNCT
ejpam-6110	295	16	ς̃∗	ς̃∗	NOUN
ejpam-6110	295	17	)	)	PUNCT
ejpam-6110	295	18	)	)	PUNCT
ejpam-6110	295	19	,	,	PUNCT
ejpam-6110	295	20	λesr(ς̃∗)e	λesr(ς̃∗)e	PROPN
ejpam-6110	295	21	−α(λesr	−α(λesr	PUNCT
ejpam-6110	295	22	(	(	PUNCT
ejpam-6110	295	23	ς̃∗	ς̃∗	PROPN
ejpam-6110	295	24	)	)	PUNCT
ejpam-6110	295	25	)	)	PUNCT
ejpam-6110	295	26	〉	〉	NOUN
ejpam-6110	295	27	,	,	PUNCT
ejpam-6110	295	28	(	(	PUNCT
ejpam-6110	295	29	s	s	NOUN
ejpam-6110	295	30	=	=	SYM
ejpam-6110	295	31	1	1	NUM
ejpam-6110	295	32	,	,	PUNCT
ejpam-6110	295	33	2	2	NUM
ejpam-6110	295	34	,	,	PUNCT
ejpam-6110	295	35	....	....	PUNCT
ejpam-6110	295	36	n	n	CCONJ
ejpam-6110	295	37	;	;	PUNCT
ejpam-6110	295	38	r	r	NOUN
ejpam-6110	295	39	=	=	SYM
ejpam-6110	295	40	1	1	NUM
ejpam-6110	295	41	,	,	PUNCT
ejpam-6110	295	42	2	2	NUM
ejpam-6110	295	43	,	,	PUNCT
ejpam-6110	295	44	....	....	PUNCT
ejpam-6110	295	45	m	m	PROPN
ejpam-6110	295	46	)	)	PUNCT
ejpam-6110	295	47	.	.	PUNCT
ejpam-6110	296	1	so	so	ADV
ejpam-6110	296	2	the	the	DET
ejpam-6110	296	3	eifss	eifss	ADJ
ejpam-6110	296	4	a	a	DET
ejpam-6110	296	5	matrix	matrix	NOUN
ejpam-6110	296	6	is	be	AUX
ejpam-6110	296	7	a	a	DET
ejpam-6110	296	8	=	=	NOUN
ejpam-6110	296	9			NOUN
ejpam-6110	296	10	e11	e11	X
ejpam-6110	296	11	,	,	PUNCT
ejpam-6110	296	12	....	....	PUNCT
ejpam-6110	296	13	e12	e12	NOUN
ejpam-6110	296	14	,	,	PUNCT
ejpam-6110	296	15	....	....	PUNCT
ejpam-6110	297	1	e1	e1	PROPN
ejpam-6110	297	2	m	m	VERB
ejpam-6110	297	3	e21	e21	PROPN
ejpam-6110	297	4	,	,	PUNCT
ejpam-6110	297	5	....	....	PUNCT
ejpam-6110	297	6	e21	e21	PROPN
ejpam-6110	297	7	,	,	PUNCT
ejpam-6110	297	8	....	....	PUNCT
ejpam-6110	297	9	e2	e2	PROPN
ejpam-6110	297	10	m	m	PROPN
ejpam-6110	297	11	...	...	PUNCT
ejpam-6110	297	12	...	...	PUNCT
ejpam-6110	297	13	...	...	PUNCT
ejpam-6110	297	14	...	...	PUNCT
ejpam-6110	297	15	...	...	PUNCT
ejpam-6110	297	16	...	...	PUNCT
ejpam-6110	298	1	en1	en1	ADJ
ejpam-6110	298	2	,	,	PUNCT
ejpam-6110	298	3	....	....	PUNCT
ejpam-6110	298	4	en2	en2	PROPN
ejpam-6110	298	5	,	,	PUNCT
ejpam-6110	298	6	....	....	PUNCT
ejpam-6110	299	1	e2	e2	VERB
ejpam-6110	299	2	nm	nm	ADJ
ejpam-6110	299	3			NOUN
ejpam-6110	299	4	,	,	PUNCT
ejpam-6110	299	5	where	where	SCONJ
ejpam-6110	299	6	,	,	PUNCT
ejpam-6110	299	7	esr	esr	PROPN
ejpam-6110	299	8	=	=	PUNCT
ejpam-6110	299	9	〈	〈	PROPN
ejpam-6110	299	10	µesr(ς̃∗)e	µesr(ς̃∗)e	PROPN
ejpam-6110	299	11	−α(µesr	−α(µesr	PUNCT
ejpam-6110	299	12	(	(	PUNCT
ejpam-6110	299	13	ς̃∗	ς̃∗	NOUN
ejpam-6110	299	14	)	)	PUNCT
ejpam-6110	299	15	)	)	PUNCT
ejpam-6110	299	16	,	,	PUNCT
ejpam-6110	299	17	λesr(ς̃∗)e	λesr(ς̃∗)e	PROPN
ejpam-6110	299	18	−α(λesr	−α(λesr	PUNCT
ejpam-6110	299	19	(	(	PUNCT
ejpam-6110	299	20	ς̃∗	ς̃∗	PROPN
ejpam-6110	299	21	)	)	PUNCT
ejpam-6110	299	22	)	)	PUNCT
ejpam-6110	299	23	〉	〉	NOUN
ejpam-6110	299	24	.	.	PUNCT
ejpam-6110	300	1	m.	m.	NOUN
ejpam-6110	300	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	300	3	et	et	PROPN
ejpam-6110	300	4	al	al	PROPN
ejpam-6110	300	5	.	.	PUNCT
ejpam-6110	300	6	/	/	SYM
ejpam-6110	300	7	eur	eur	PROPN
ejpam-6110	300	8	.	.	PUNCT
ejpam-6110	301	1	j.	j.	PROPN
ejpam-6110	301	2	pure	pure	PROPN
ejpam-6110	301	3	appl	appl	PROPN
ejpam-6110	301	4	.	.	PROPN
ejpam-6110	301	5	math	math	PROPN
ejpam-6110	301	6	,	,	PUNCT
ejpam-6110	301	7	18	18	NUM
ejpam-6110	301	8	(	(	PUNCT
ejpam-6110	301	9	3	3	NUM
ejpam-6110	301	10	)	)	PUNCT
ejpam-6110	301	11	(	(	PUNCT
ejpam-6110	301	12	2025	2025	NUM
ejpam-6110	301	13	)	)	PUNCT
ejpam-6110	301	14	,	,	PUNCT
ejpam-6110	301	15	6110	6110	NUM
ejpam-6110	301	16	16	16	NUM
ejpam-6110	301	17	of	of	ADP
ejpam-6110	301	18	20	20	NUM
ejpam-6110	301	19	sept	sept	PROPN
ejpam-6110	301	20	2	2	NUM
ejpam-6110	301	21	assume	assume	VERB
ejpam-6110	301	22	that	that	SCONJ
ejpam-6110	301	23	µeij	µeij	NOUN
ejpam-6110	301	24	(	(	PUNCT
ejpam-6110	301	25	ς̃∗	ς̃∗	NOUN
ejpam-6110	301	26	)	)	PUNCT
ejpam-6110	301	27	=	=	SYM
ejpam-6110	301	28	∨	∨	X
ejpam-6110	301	29	{	{	PUNCT
ejpam-6110	301	30	µeij	µeij	NOUN
ejpam-6110	301	31	(	(	PUNCT
ejpam-6110	301	32	ς̃∗	ς̃∗	NOUN
ejpam-6110	301	33	)	)	PUNCT
ejpam-6110	301	34	for	for	ADP
ejpam-6110	301	35	fix	fix	NOUN
ejpam-6110	301	36	i	i	PRON
ejpam-6110	301	37	and	and	CCONJ
ejpam-6110	301	38	j	j	NOUN
ejpam-6110	301	39	=	=	SYM
ejpam-6110	301	40	1	1	NUM
ejpam-6110	301	41	,	,	PUNCT
ejpam-6110	301	42	2	2	NUM
ejpam-6110	301	43	,	,	PUNCT
ejpam-6110	301	44	3	3	NUM
ejpam-6110	301	45	,	,	PUNCT
ejpam-6110	301	46	....	....	PUNCT
ejpam-6110	301	47	m	m	VERB
ejpam-6110	301	48	}	}	PUNCT
ejpam-6110	301	49	λeij	λeij	PROPN
ejpam-6110	301	50	(	(	PUNCT
ejpam-6110	301	51	ς̃∗	ς̃∗	PROPN
ejpam-6110	301	52	)	)	PUNCT
ejpam-6110	301	53	=	=	SYM
ejpam-6110	301	54	∧	∧	PROPN
ejpam-6110	301	55	{	{	PUNCT
ejpam-6110	301	56	λeij	λeij	PROPN
ejpam-6110	301	57	(	(	PUNCT
ejpam-6110	301	58	ς̃∗	ς̃∗	PROPN
ejpam-6110	301	59	)	)	PUNCT
ejpam-6110	301	60	for	for	ADP
ejpam-6110	301	61	fix	fix	NOUN
ejpam-6110	301	62	i	i	PRON
ejpam-6110	301	63	and	and	CCONJ
ejpam-6110	301	64	j	j	NOUN
ejpam-6110	301	65	=	=	SYM
ejpam-6110	301	66	1	1	NUM
ejpam-6110	301	67	,	,	PUNCT
ejpam-6110	301	68	2	2	NUM
ejpam-6110	301	69	,	,	PUNCT
ejpam-6110	301	70	3	3	NUM
ejpam-6110	301	71	,	,	PUNCT
ejpam-6110	301	72	....	....	PUNCT
ejpam-6110	301	73	n	n	CCONJ
ejpam-6110	301	74	}	}	PUNCT
ejpam-6110	301	75	and	and	CCONJ
ejpam-6110	301	76	thus	thus	ADV
ejpam-6110	301	77	al	al	PROPN
ejpam-6110	301	78	max	max	PROPN
ejpam-6110	301	79	=	=	PROPN
ejpam-6110	301	80			NOUN
ejpam-6110	301	81	µe11(ς̃∗)e	µe11(ς̃∗)e	PRON
ejpam-6110	301	82	−α(µe11	−α(µe11	PUNCT
ejpam-6110	301	83	(	(	PUNCT
ejpam-6110	301	84	ς̃∗	ς̃∗	PROPN
ejpam-6110	301	85	)	)	PUNCT
ejpam-6110	301	86	)	)	PUNCT
ejpam-6110	301	87	,	,	PUNCT
ejpam-6110	301	88	λe11(ς̃∗)e	λe11(ς̃∗)e	PRON
ejpam-6110	301	89	−α(λe11	−α(λe11	X
ejpam-6110	301	90	(	(	PUNCT
ejpam-6110	301	91	ς̃∗	ς̃∗	PROPN
ejpam-6110	301	92	)	)	PUNCT
ejpam-6110	301	93	)	)	PUNCT
ejpam-6110	302	1	µe21(ς̃∗)e	µe21(ς̃∗)e	PRON
ejpam-6110	302	2	−α(µe21	−α(µe21	PRON
ejpam-6110	302	3	(	(	PUNCT
ejpam-6110	302	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	302	5	)	)	PUNCT
ejpam-6110	302	6	)	)	PUNCT
ejpam-6110	302	7	,	,	PUNCT
ejpam-6110	302	8	λe21(ς̃∗)e	λe21(ς̃∗)e	NUM
ejpam-6110	302	9	−α(λe21	−α(λe21	X
ejpam-6110	302	10	(	(	PUNCT
ejpam-6110	302	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	302	12	)	)	PUNCT
ejpam-6110	302	13	)	)	PUNCT
ejpam-6110	302	14	...	...	PUNCT
ejpam-6110	302	15	...	...	PUNCT
ejpam-6110	302	16	...	...	PUNCT
ejpam-6110	302	17	...	...	PUNCT
ejpam-6110	302	18	...	...	PUNCT
ejpam-6110	302	19	...	...	PUNCT
ejpam-6110	303	1	µen1(ς̃∗)e	µen1(ς̃∗)e	ADJ
ejpam-6110	303	2	−α(µen1	−α(µen1	PROPN
ejpam-6110	303	3	(	(	PUNCT
ejpam-6110	303	4	ς̃∗	ς̃∗	PROPN
ejpam-6110	303	5	)	)	PUNCT
ejpam-6110	303	6	)	)	PUNCT
ejpam-6110	303	7	,	,	PUNCT
ejpam-6110	303	8	λen1(ς̃∗)e	λen1(ς̃∗)e	NOUN
ejpam-6110	303	9	−α(λen1	−α(λen1	PROPN
ejpam-6110	303	10	(	(	PUNCT
ejpam-6110	303	11	ς̃∗	ς̃∗	NOUN
ejpam-6110	303	12	)	)	PUNCT
ejpam-6110	303	13	)	)	PUNCT
ejpam-6110	303	14			NOUN
ejpam-6110	303	15	,	,	PUNCT
ejpam-6110	303	16	(	(	PUNCT
ejpam-6110	303	17	4.1	4.1	NUM
ejpam-6110	303	18	)	)	PUNCT
ejpam-6110	303	19	for	for	ADP
ejpam-6110	303	20	all	all	DET
ejpam-6110	303	21	l	l	NOUN
ejpam-6110	303	22	=	=	SYM
ejpam-6110	303	23	1	1	NUM
ejpam-6110	303	24	,	,	PUNCT
ejpam-6110	303	25	2	2	NUM
ejpam-6110	303	26	,	,	PUNCT
ejpam-6110	303	27	3	3	NUM
ejpam-6110	303	28	...	...	PUNCT
ejpam-6110	303	29	is	be	AUX
ejpam-6110	303	30	called	call	VERB
ejpam-6110	303	31	max	max	PROPN
ejpam-6110	303	32	a	a	DET
ejpam-6110	303	33	-	-	PUNCT
ejpam-6110	303	34	matrix	matrix	NOUN
ejpam-6110	303	35	.	.	PUNCT
ejpam-6110	304	1	sept	sept	PROPN
ejpam-6110	304	2	3	3	NUM
ejpam-6110	304	3	assume	assume	VERB
ejpam-6110	304	4	that	that	SCONJ
ejpam-6110	304	5	µ	µ	X
ejpam-6110	304	6	′	′	ADJ
ejpam-6110	304	7	eij	eij	PROPN
ejpam-6110	304	8	(	(	PUNCT
ejpam-6110	304	9	ς̃∗	ς̃∗	PROPN
ejpam-6110	304	10	)	)	PUNCT
ejpam-6110	304	11	=	=	SYM
ejpam-6110	304	12	∧	∧	PROPN
ejpam-6110	304	13	{	{	PUNCT
ejpam-6110	304	14	µ	µ	PROPN
ejpam-6110	304	15	′	′	NUM
ejpam-6110	304	16	eij	eij	PROPN
ejpam-6110	304	17	(	(	PUNCT
ejpam-6110	304	18	ς̃∗	ς̃∗	PROPN
ejpam-6110	304	19	)	)	PUNCT
ejpam-6110	304	20	for	for	ADP
ejpam-6110	304	21	fix	fix	NOUN
ejpam-6110	304	22	i	i	PRON
ejpam-6110	304	23	and	and	CCONJ
ejpam-6110	304	24	j	j	NOUN
ejpam-6110	304	25	=	=	SYM
ejpam-6110	304	26	1	1	NUM
ejpam-6110	304	27	,	,	PUNCT
ejpam-6110	304	28	2	2	NUM
ejpam-6110	304	29	,	,	PUNCT
ejpam-6110	304	30	3	3	NUM
ejpam-6110	304	31	,	,	PUNCT
ejpam-6110	304	32	....	....	PUNCT
ejpam-6110	304	33	m	m	VERB
ejpam-6110	304	34	}	}	PUNCT
ejpam-6110	304	35	λ	λ	NOUN
ejpam-6110	304	36	′	′	NUM
ejpam-6110	304	37	eij	eij	PROPN
ejpam-6110	304	38	(	(	PUNCT
ejpam-6110	304	39	ς̃∗	ς̃∗	PROPN
ejpam-6110	304	40	)	)	PUNCT
ejpam-6110	304	41	=	=	SYM
ejpam-6110	304	42	∨	∨	X
ejpam-6110	304	43	{	{	PUNCT
ejpam-6110	304	44	λ	λ	PROPN
ejpam-6110	304	45	′	′	NUM
ejpam-6110	304	46	eij	eij	PROPN
ejpam-6110	304	47	(	(	PUNCT
ejpam-6110	304	48	ς̃∗	ς̃∗	PROPN
ejpam-6110	304	49	)	)	PUNCT
ejpam-6110	304	50	for	for	ADP
ejpam-6110	304	51	fix	fix	NOUN
ejpam-6110	304	52	i	i	PRON
ejpam-6110	304	53	and	and	CCONJ
ejpam-6110	304	54	j	j	NOUN
ejpam-6110	304	55	=	=	SYM
ejpam-6110	304	56	1	1	NUM
ejpam-6110	304	57	,	,	PUNCT
ejpam-6110	304	58	2	2	NUM
ejpam-6110	304	59	,	,	PUNCT
ejpam-6110	304	60	3	3	NUM
ejpam-6110	304	61	,	,	PUNCT
ejpam-6110	304	62	....	....	PUNCT
ejpam-6110	304	63	n	n	CCONJ
ejpam-6110	304	64	}	}	PUNCT
ejpam-6110	304	65	and	and	CCONJ
ejpam-6110	304	66	thus	thus	ADV
ejpam-6110	304	67	al	al	PROPN
ejpam-6110	304	68	min	min	PROPN
ejpam-6110	304	69	=	=	PRON
ejpam-6110	304	70			PROPN
ejpam-6110	304	71	µ	µ	ADJ
ejpam-6110	304	72	′	′	NUM
ejpam-6110	305	1	e11(ς̃∗)e	e11(ς̃∗)e	NOUN
ejpam-6110	305	2	−α(µ	−α(µ	NOUN
ejpam-6110	305	3	′	′	NOUN
ejpam-6110	305	4	e11	e11	X
ejpam-6110	305	5	(	(	PUNCT
ejpam-6110	305	6	ς̃∗	ς̃∗	PROPN
ejpam-6110	305	7	)	)	PUNCT
ejpam-6110	305	8	)	)	PUNCT
ejpam-6110	305	9	,	,	PUNCT
ejpam-6110	306	1	λ	λ	NOUN
ejpam-6110	306	2	′	′	NOUN
ejpam-6110	306	3	e11(ς̃∗)e	e11(ς̃∗)e	CCONJ
ejpam-6110	306	4	−α(λ	−α(λ	PROPN
ejpam-6110	306	5	′	′	NOUN
ejpam-6110	306	6	e11	e11	X
ejpam-6110	306	7	(	(	PUNCT
ejpam-6110	306	8	ς̃∗	ς̃∗	NOUN
ejpam-6110	306	9	)	)	PUNCT
ejpam-6110	306	10	)	)	PUNCT
ejpam-6110	307	1	µ	µ	X
ejpam-6110	307	2	′	′	NUM
ejpam-6110	308	1	e21(ς̃∗)e	e21(ς̃∗)e	PRON
ejpam-6110	308	2	−α(µ	−α(µ	NOUN
ejpam-6110	308	3	′	′	NUM
ejpam-6110	308	4	e21	e21	PROPN
ejpam-6110	308	5	(	(	PUNCT
ejpam-6110	308	6	ς̃∗	ς̃∗	PROPN
ejpam-6110	308	7	)	)	PUNCT
ejpam-6110	308	8	)	)	PUNCT
ejpam-6110	308	9	,	,	PUNCT
ejpam-6110	309	1	λ	λ	NOUN
ejpam-6110	309	2	′	′	NOUN
ejpam-6110	310	1	e21(ς̃∗)e	e21(ς̃∗)e	PRON
ejpam-6110	310	2	−α(λ	−α(λ	NOUN
ejpam-6110	310	3	′	′	PROPN
ejpam-6110	310	4	e21	e21	PROPN
ejpam-6110	310	5	(	(	PUNCT
ejpam-6110	310	6	ς̃∗	ς̃∗	PROPN
ejpam-6110	310	7	)	)	PUNCT
ejpam-6110	310	8	)	)	PUNCT
ejpam-6110	310	9	...	...	PUNCT
ejpam-6110	310	10	...	...	PUNCT
ejpam-6110	310	11	...	...	PUNCT
ejpam-6110	310	12	...	...	PUNCT
ejpam-6110	310	13	...	...	PUNCT
ejpam-6110	310	14	...	...	PUNCT
ejpam-6110	311	1	µ	µ	X
ejpam-6110	311	2	′	′	NUM
ejpam-6110	311	3	en1	en1	PROPN
ejpam-6110	311	4	(	(	PUNCT
ejpam-6110	311	5	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	311	6	−α(µ	−α(µ	NOUN
ejpam-6110	311	7	′	′	NUM
ejpam-6110	311	8	en1	en1	PROPN
ejpam-6110	311	9	(	(	PUNCT
ejpam-6110	311	10	ς̃∗	ς̃∗	PROPN
ejpam-6110	311	11	)	)	PUNCT
ejpam-6110	311	12	)	)	PUNCT
ejpam-6110	311	13	,	,	PUNCT
ejpam-6110	311	14	λ	λ	PROPN
ejpam-6110	311	15	′	′	NUM
ejpam-6110	311	16	en1	en1	PROPN
ejpam-6110	311	17	(	(	PUNCT
ejpam-6110	311	18	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	311	19	−α(λ	−α(λ	NOUN
ejpam-6110	311	20	′	′	PROPN
ejpam-6110	311	21	en1	en1	PROPN
ejpam-6110	311	22	(	(	PUNCT
ejpam-6110	311	23	ς̃∗	ς̃∗	PROPN
ejpam-6110	311	24	)	)	PUNCT
ejpam-6110	311	25	)	)	PUNCT
ejpam-6110	311	26			ADP
ejpam-6110	311	27	,	,	PUNCT
ejpam-6110	311	28	(	(	PUNCT
ejpam-6110	311	29	4.2	4.2	NUM
ejpam-6110	311	30	)	)	PUNCT
ejpam-6110	311	31	for	for	ADP
ejpam-6110	311	32	all	all	DET
ejpam-6110	311	33	l	l	NOUN
ejpam-6110	311	34	=	=	SYM
ejpam-6110	311	35	1	1	NUM
ejpam-6110	311	36	,	,	PUNCT
ejpam-6110	311	37	2	2	NUM
ejpam-6110	311	38	,	,	PUNCT
ejpam-6110	311	39	3	3	NUM
ejpam-6110	311	40	...	...	PUNCT
ejpam-6110	311	41	is	be	AUX
ejpam-6110	311	42	called	call	VERB
ejpam-6110	311	43	min	min	PROPN
ejpam-6110	311	44	a	a	DET
ejpam-6110	311	45	-	-	PUNCT
ejpam-6110	311	46	matrix	matrix	NOUN
ejpam-6110	311	47	.	.	PUNCT
ejpam-6110	312	1	sept	sept	PROPN
ejpam-6110	312	2	4	4	NUM
ejpam-6110	312	3	the	the	DET
ejpam-6110	312	4	average	average	ADJ
ejpam-6110	312	5	similarity	similarity	NOUN
ejpam-6110	312	6	measure	measure	NOUN
ejpam-6110	312	7	operator(asmo	operator(asmo	PROPN
ejpam-6110	312	8	)	)	PUNCT
ejpam-6110	312	9	sl	sl	PRON
ejpam-6110	312	10	is	be	AUX
ejpam-6110	312	11	sl	sl	INTJ
ejpam-6110	312	12	(	(	PUNCT
ejpam-6110	312	13	al	al	PROPN
ejpam-6110	312	14	max	max	PROPN
ejpam-6110	312	15	,	,	PUNCT
ejpam-6110	312	16	al	al	PROPN
ejpam-6110	312	17	min	min	PROPN
ejpam-6110	312	18	)	)	PUNCT
ejpam-6110	312	19	=	=	PUNCT
ejpam-6110	313	1			NOUN
ejpam-6110	313	2	max	max	PROPN
ejpam-6110	313	3	µ	µ	PROPN
ejpam-6110	313	4	′	′	NUM
ejpam-6110	313	5	ei1	ei1	PROPN
ejpam-6110	314	1	(	(	PUNCT
ejpam-6110	314	2	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	314	3	−α(µ	−α(µ	NOUN
ejpam-6110	314	4	′	′	NUM
ejpam-6110	315	1	ei1	ei1	PROPN
ejpam-6110	316	1	(	(	PUNCT
ejpam-6110	316	2	ς̃∗	ς̃∗	PROPN
ejpam-6110	316	3	)	)	PUNCT
ejpam-6110	316	4	)	)	PUNCT
ejpam-6110	317	1	+	+	PUNCT
ejpam-6110	317	2	λ	λ	NOUN
ejpam-6110	317	3	′	′	NUM
ejpam-6110	317	4	ei1	ei1	PROPN
ejpam-6110	317	5	(	(	PUNCT
ejpam-6110	317	6	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	317	7	−α(λ	−α(λ	NOUN
ejpam-6110	317	8	′	′	NUM
ejpam-6110	317	9	ei1	ei1	PROPN
ejpam-6110	317	10	(	(	PUNCT
ejpam-6110	317	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	317	12	)	)	PUNCT
ejpam-6110	317	13	)	)	PUNCT
ejpam-6110	317	14	2	2	NUM
ejpam-6110	317	15			PROPN
ejpam-6110	317	16	min	min	NOUN
ejpam-6110	317	17	µ	µ	PROPN
ejpam-6110	317	18	′	′	NUM
ejpam-6110	317	19	ei1	ei1	PROPN
ejpam-6110	317	20	(	(	PUNCT
ejpam-6110	317	21	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	317	22	−α(µ	−α(µ	NOUN
ejpam-6110	317	23	′	′	NUM
ejpam-6110	317	24	ei1	ei1	PROPN
ejpam-6110	317	25	(	(	PUNCT
ejpam-6110	317	26	ς̃∗	ς̃∗	PROPN
ejpam-6110	317	27	)	)	PUNCT
ejpam-6110	317	28	)	)	PUNCT
ejpam-6110	318	1	+	+	PUNCT
ejpam-6110	318	2	λ	λ	NOUN
ejpam-6110	318	3	′	′	NUM
ejpam-6110	318	4	ei1	ei1	PROPN
ejpam-6110	318	5	(	(	PUNCT
ejpam-6110	318	6	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	318	7	−α(λ	−α(λ	NOUN
ejpam-6110	318	8	′	′	NUM
ejpam-6110	318	9	ei1	ei1	PROPN
ejpam-6110	318	10	(	(	PUNCT
ejpam-6110	318	11	ς̃∗	ς̃∗	PROPN
ejpam-6110	318	12	)	)	PUNCT
ejpam-6110	318	13	)	)	PUNCT
ejpam-6110	318	14	2	2	NUM
ejpam-6110	318	15			PROPN
ejpam-6110	318	16			NOUN
ejpam-6110	318	17	,	,	PUNCT
ejpam-6110	318	18	i	i	PRON
ejpam-6110	318	19	=	=	NOUN
ejpam-6110	318	20	1	1	NUM
ejpam-6110	318	21	,	,	PUNCT
ejpam-6110	318	22	2	2	NUM
ejpam-6110	318	23	,	,	PUNCT
ejpam-6110	318	24	3	3	NUM
ejpam-6110	318	25	,	,	PUNCT
ejpam-6110	318	26	....	....	PUNCT
ejpam-6110	318	27	n	n	CCONJ
ejpam-6110	318	28	,	,	PUNCT
ejpam-6110	318	29	sl	sl	INTJ
ejpam-6110	318	30	(	(	PUNCT
ejpam-6110	318	31	al	al	PROPN
ejpam-6110	318	32	max	max	PROPN
ejpam-6110	318	33	,	,	PUNCT
ejpam-6110	318	34	al	al	PROPN
ejpam-6110	318	35	min	min	PROPN
ejpam-6110	318	36	)	)	PUNCT
ejpam-6110	318	37	=	=	PRON
ejpam-6110	318	38	(	(	PUNCT
ejpam-6110	318	39	dsl1	dsl1	PROPN
ejpam-6110	318	40	(	(	PUNCT
ejpam-6110	318	41	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	318	42	−αdsl1	−αdsl1	PROPN
ejpam-6110	318	43	(	(	PUNCT
ejpam-6110	318	44	ς̃∗),d	ς̃∗),d	NOUN
ejpam-6110	318	45	′	′	NUM
ejpam-6110	318	46	sl1	sl1	PROPN
ejpam-6110	318	47	(	(	PUNCT
ejpam-6110	318	48	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	318	49	−αd′	−αd′	PROPN
ejpam-6110	318	50	sl1	sl1	PROPN
ejpam-6110	318	51	(	(	PUNCT
ejpam-6110	318	52	ς̃∗	ς̃∗	PROPN
ejpam-6110	318	53	)	)	PUNCT
ejpam-6110	318	54	)	)	PUNCT
ejpam-6110	318	55	sept	sept	PROPN
ejpam-6110	318	56	5	5	NUM
ejpam-6110	318	57	asmo	asmo	NOUN
ejpam-6110	318	58	for	for	ADP
ejpam-6110	318	59	weight	weight	NOUN
ejpam-6110	318	60	d∗	d∗	NOUN
ejpam-6110	318	61	is	be	AUX
ejpam-6110	318	62	d∗	d∗	NOUN
ejpam-6110	318	63	=	=	SYM
ejpam-6110	318	64	wrmaxdsl1	wrmaxdsl1	X
ejpam-6110	318	65	(	(	PUNCT
ejpam-6110	318	66	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	318	67	−αdsl1	−αdsl1	PROPN
ejpam-6110	318	68	(	(	PUNCT
ejpam-6110	318	69	ς̃∗)√∑	ς̃∗)√∑	NOUN
ejpam-6110	318	70	(	(	PUNCT
ejpam-6110	318	71	dsl1	dsl1	PROPN
ejpam-6110	318	72	(	(	PUNCT
ejpam-6110	318	73	ς̃∗))2	ς̃∗))2	PROPN
ejpam-6110	318	74	,	,	PUNCT
ejpam-6110	318	75	wrmaxd′	wrmaxd′	PRON
ejpam-6110	319	1	sl1	sl1	PROPN
ejpam-6110	319	2	(	(	PUNCT
ejpam-6110	319	3	ς̃∗)e	ς̃∗)e	PROPN
ejpam-6110	319	4	−αd′	−αd′	PROPN
ejpam-6110	319	5	sl1	sl1	PROPN
ejpam-6110	319	6	(	(	PUNCT
ejpam-6110	319	7	ς̃∗)√∑	ς̃∗)√∑	NOUN
ejpam-6110	319	8	(	(	PUNCT
ejpam-6110	319	9	d′	d′	NUM
ejpam-6110	319	10	sl1	sl1	PROPN
ejpam-6110	319	11	(	(	PUNCT
ejpam-6110	319	12	ς̃∗))2	ς̃∗))2	NOUN
ejpam-6110	319	13			NOUN
ejpam-6110	319	14	,	,	PUNCT
ejpam-6110	319	15	l	l	NOUN
ejpam-6110	319	16	=	=	SYM
ejpam-6110	319	17	1	1	NUM
ejpam-6110	319	18	,	,	PUNCT
ejpam-6110	319	19	2	2	NUM
ejpam-6110	319	20	,	,	PUNCT
ejpam-6110	319	21	3	3	NUM
ejpam-6110	319	22	..	..	PUNCT
ejpam-6110	319	23	and	and	CCONJ
ejpam-6110	319	24	r	r	NOUN
ejpam-6110	319	25	=	=	SYM
ejpam-6110	319	26	1	1	NUM
ejpam-6110	319	27	,	,	PUNCT
ejpam-6110	319	28	2	2	NUM
ejpam-6110	319	29	,	,	PUNCT
ejpam-6110	319	30	3	3	NUM
ejpam-6110	319	31	....	....	SYM
ejpam-6110	319	32	m.	m.	NOUN
ejpam-6110	319	33	where	where	SCONJ
ejpam-6110	319	34	wr	wr	AUX
ejpam-6110	319	35	=	=	SYM
ejpam-6110	319	36	(	(	PUNCT
ejpam-6110	319	37	1	1	NUM
ejpam-6110	319	38	,	,	PUNCT
ejpam-6110	319	39	2	2	NUM
ejpam-6110	319	40	,	,	PUNCT
ejpam-6110	319	41	3	3	NUM
ejpam-6110	319	42	...	...	SYM
ejpam-6110	319	43	wm	wm	X
ejpam-6110	319	44	)	)	PUNCT
ejpam-6110	319	45	is	be	AUX
ejpam-6110	319	46	the	the	DET
ejpam-6110	319	47	index	index	NOUN
ejpam-6110	319	48	weight	weight	NOUN
ejpam-6110	319	49	vector	vector	NOUN
ejpam-6110	319	50	&	&	CCONJ
ejpam-6110	319	51	∑n	∑n	PROPN
ejpam-6110	319	52	i=1wr	i=1wr	NUM
ejpam-6110	319	53	=	=	SYM
ejpam-6110	319	54	1	1	X
ejpam-6110	319	55	.	.	X
ejpam-6110	319	56	step	step	NOUN
ejpam-6110	319	57	6	6	NUM
ejpam-6110	319	58	the	the	DET
ejpam-6110	319	59	alternatives	alternative	NOUN
ejpam-6110	319	60	are	be	AUX
ejpam-6110	319	61	ranked	rank	VERB
ejpam-6110	319	62	by	by	ADP
ejpam-6110	319	63	assessing	assess	VERB
ejpam-6110	319	64	the	the	DET
ejpam-6110	319	65	asmo	asmo	NOUN
ejpam-6110	319	66	for	for	ADP
ejpam-6110	319	67	weight	weight	NOUN
ejpam-6110	319	68	values	value	NOUN
ejpam-6110	319	69	,	,	PUNCT
ejpam-6110	319	70	with	with	ADP
ejpam-6110	319	71	the	the	DET
ejpam-6110	319	72	most	most	ADV
ejpam-6110	319	73	desirable	desirable	ADJ
ejpam-6110	319	74	options	option	NOUN
ejpam-6110	319	75	being	be	AUX
ejpam-6110	319	76	chosen	choose	VERB
ejpam-6110	319	77	.	.	PUNCT
ejpam-6110	320	1	m.	m.	NOUN
ejpam-6110	320	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	320	3	et	et	PROPN
ejpam-6110	320	4	al	al	PROPN
ejpam-6110	320	5	.	.	PUNCT
ejpam-6110	320	6	/	/	SYM
ejpam-6110	320	7	eur	eur	PROPN
ejpam-6110	320	8	.	.	PUNCT
ejpam-6110	321	1	j.	j.	PROPN
ejpam-6110	321	2	pure	pure	PROPN
ejpam-6110	321	3	appl	appl	PROPN
ejpam-6110	321	4	.	.	PROPN
ejpam-6110	321	5	math	math	PROPN
ejpam-6110	321	6	,	,	PUNCT
ejpam-6110	321	7	18	18	NUM
ejpam-6110	321	8	(	(	PUNCT
ejpam-6110	321	9	3	3	NUM
ejpam-6110	321	10	)	)	PUNCT
ejpam-6110	321	11	(	(	PUNCT
ejpam-6110	321	12	2025	2025	NUM
ejpam-6110	321	13	)	)	PUNCT
ejpam-6110	321	14	,	,	PUNCT
ejpam-6110	321	15	6110	6110	NUM
ejpam-6110	321	16	17	17	NUM
ejpam-6110	321	17	of	of	ADP
ejpam-6110	321	18	20	20	NUM
ejpam-6110	321	19	4.1	4.1	NUM
ejpam-6110	321	20	.	.	PUNCT
ejpam-6110	322	1	implementation	implementation	NOUN
ejpam-6110	322	2	of	of	ADP
ejpam-6110	322	3	the	the	DET
ejpam-6110	322	4	proposed	propose	VERB
ejpam-6110	322	5	methodology	methodology	NOUN
ejpam-6110	322	6	on	on	ADP
ejpam-6110	322	7	a	a	DET
ejpam-6110	322	8	decision	decision	NOUN
ejpam-6110	322	9	making	make	VERB
ejpam-6110	322	10	problem	problem	NOUN
ejpam-6110	322	11	a	a	DET
ejpam-6110	322	12	manufacturing	manufacture	VERB
ejpam-6110	322	13	company	company	NOUN
ejpam-6110	322	14	must	must	AUX
ejpam-6110	322	15	select	select	VERB
ejpam-6110	322	16	the	the	DET
ejpam-6110	322	17	best	good	ADJ
ejpam-6110	322	18	supplier	supplier	NOUN
ejpam-6110	322	19	for	for	ADP
ejpam-6110	322	20	raw	raw	ADJ
ejpam-6110	322	21	materials	material	NOUN
ejpam-6110	322	22	based	base	VERB
ejpam-6110	322	23	on	on	ADP
ejpam-6110	322	24	multiple	multiple	ADJ
ejpam-6110	322	25	conflicting	conflicting	ADJ
ejpam-6110	322	26	criteria	criterion	NOUN
ejpam-6110	322	27	such	such	ADJ
ejpam-6110	322	28	as	as	ADP
ejpam-6110	322	29	cost	cost	NOUN
ejpam-6110	322	30	(	(	PUNCT
ejpam-6110	322	31	l1	l1	PROPN
ejpam-6110	322	32	)	)	PUNCT
ejpam-6110	322	33	,	,	PUNCT
ejpam-6110	322	34	quality(l2	quality(l2	PROPN
ejpam-6110	322	35	)	)	PUNCT
ejpam-6110	322	36	,	,	PUNCT
ejpam-6110	322	37	delivery	delivery	NOUN
ejpam-6110	322	38	time	time	NOUN
ejpam-6110	322	39	(	(	PUNCT
ejpam-6110	322	40	l3),and	l3),and	NOUN
ejpam-6110	322	41	reliability(l4	reliability(l4	NOUN
ejpam-6110	322	42	)	)	PUNCT
ejpam-6110	322	43	.	.	PUNCT
ejpam-6110	323	1	experts	expert	NOUN
ejpam-6110	323	2	might	might	AUX
ejpam-6110	323	3	be	be	AUX
ejpam-6110	323	4	unsure	unsure	ADJ
ejpam-6110	323	5	about	about	ADP
ejpam-6110	323	6	their	their	PRON
ejpam-6110	323	7	judgments	judgment	NOUN
ejpam-6110	323	8	due	due	ADJ
ejpam-6110	323	9	to	to	ADP
ejpam-6110	323	10	fluctuating	fluctuate	VERB
ejpam-6110	323	11	market	market	NOUN
ejpam-6110	323	12	conditions	condition	NOUN
ejpam-6110	323	13	.	.	PUNCT
ejpam-6110	324	1	some	some	DET
ejpam-6110	324	2	supplier	supplier	NOUN
ejpam-6110	324	3	performance	performance	NOUN
ejpam-6110	324	4	metrics	metric	NOUN
ejpam-6110	324	5	(	(	PUNCT
ejpam-6110	324	6	e.g.	e.g.	ADV
ejpam-6110	324	7	,	,	PUNCT
ejpam-6110	324	8	delivery	delivery	NOUN
ejpam-6110	324	9	time	time	NOUN
ejpam-6110	324	10	)	)	PUNCT
ejpam-6110	324	11	may	may	AUX
ejpam-6110	324	12	have	have	VERB
ejpam-6110	324	13	seasonal	seasonal	ADJ
ejpam-6110	324	14	variations	variation	NOUN
ejpam-6110	324	15	.	.	PUNCT
ejpam-6110	325	1	the	the	DET
ejpam-6110	325	2	phase	phase	NOUN
ejpam-6110	325	3	component	component	NOUN
ejpam-6110	325	4	in	in	ADP
ejpam-6110	325	5	eifs	eifs	PROPN
ejpam-6110	325	6	helps	help	VERB
ejpam-6110	325	7	model	model	VERB
ejpam-6110	325	8	such	such	ADJ
ejpam-6110	325	9	cyclic	cyclic	ADJ
ejpam-6110	325	10	patterns	pattern	NOUN
ejpam-6110	325	11	.	.	PUNCT
ejpam-6110	326	1	the	the	DET
ejpam-6110	326	2	additional	additional	ADJ
ejpam-6110	326	3	exponential	exponential	NOUN
ejpam-6110	326	4	-	-	PUNCT
ejpam-6110	326	5	valued	value	VERB
ejpam-6110	326	6	information	information	NOUN
ejpam-6110	326	7	enhances	enhance	VERB
ejpam-6110	326	8	the	the	DET
ejpam-6110	326	9	accuracy	accuracy	NOUN
ejpam-6110	326	10	of	of	ADP
ejpam-6110	326	11	ranking	rank	VERB
ejpam-6110	326	12	suppliers	supplier	NOUN
ejpam-6110	326	13	.	.	PUNCT
ejpam-6110	327	1	by	by	ADP
ejpam-6110	327	2	fixing	fix	VERB
ejpam-6110	327	3	the	the	DET
ejpam-6110	327	4	parameter	parameter	NOUN
ejpam-6110	327	5	(	(	PUNCT
ejpam-6110	327	6	a	a	DET
ejpam-6110	327	7	=	=	NOUN
ejpam-6110	327	8	0.2	0.2	NUM
ejpam-6110	327	9	)	)	PUNCT
ejpam-6110	327	10	for	for	ADP
ejpam-6110	327	11	defining	define	VERB
ejpam-6110	327	12	the	the	DET
ejpam-6110	327	13	prioritization	prioritization	NOUN
ejpam-6110	327	14	of	of	ADP
ejpam-6110	327	15	the	the	DET
ejpam-6110	327	16	above	above	ADJ
ejpam-6110	327	17	conflicting	conflicting	ADJ
ejpam-6110	327	18	criteria	criterion	NOUN
ejpam-6110	327	19	.	.	PUNCT
ejpam-6110	328	1	sept	sept	PROPN
ejpam-6110	328	2	1	1	NUM
ejpam-6110	328	3	consider	consider	VERB
ejpam-6110	328	4	three	three	NUM
ejpam-6110	328	5	matrix	matrix	NOUN
ejpam-6110	328	6	a1,a2	a1,a2	PUNCT
ejpam-6110	328	7	and	and	CCONJ
ejpam-6110	328	8	a3	a3	NOUN
ejpam-6110	328	9	of	of	ADP
ejpam-6110	328	10	eif	eif	NOUN
ejpam-6110	328	11	matrix	matrix	NOUN
ejpam-6110	328	12	1	1	NUM
ejpam-6110	328	13	:	:	PUNCT
ejpam-6110	328	14	imported	import	VERB
ejpam-6110	328	15	raw	raw	ADJ
ejpam-6110	328	16	materials	material	NOUN
ejpam-6110	328	17	in	in	ADP
ejpam-6110	328	18	2018	2018	NUM
ejpam-6110	328	19	:	:	PUNCT
ejpam-6110	328	20	a1	a1	NOUN
ejpam-6110	328	21	=	=	NOUN
ejpam-6110	328	22			NOUN
ejpam-6110	328	23	f1	f1	PROPN
ejpam-6110	328	24	f2	f2	PROPN
ejpam-6110	328	25	f3	f3	VERB
ejpam-6110	328	26	f4	f4	PROPN
ejpam-6110	328	27	l1	l1	PROPN
ejpam-6110	328	28	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	328	29	)	)	PUNCT
ejpam-6110	328	30	,	,	PUNCT
ejpam-6110	328	31	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	328	32	)	)	PUNCT
ejpam-6110	328	33	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	328	34	)	)	PUNCT
ejpam-6110	328	35	,	,	PUNCT
ejpam-6110	328	36	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	328	37	)	)	PUNCT
ejpam-6110	328	38	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	328	39	)	)	PUNCT
ejpam-6110	328	40	,	,	PUNCT
ejpam-6110	328	41	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	328	42	)	)	PUNCT
ejpam-6110	328	43	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	328	44	)	)	PUNCT
ejpam-6110	328	45	,	,	PUNCT
ejpam-6110	328	46	0.6e−0.2(0.6	0.6e−0.2(0.6	X
ejpam-6110	328	47	)	)	PUNCT
ejpam-6110	328	48	l2	l2	NOUN
ejpam-6110	328	49	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	328	50	)	)	PUNCT
ejpam-6110	328	51	,	,	PUNCT
ejpam-6110	328	52	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	328	53	)	)	PUNCT
ejpam-6110	328	54	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	328	55	)	)	PUNCT
ejpam-6110	328	56	,	,	PUNCT
ejpam-6110	328	57	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	328	58	)	)	PUNCT
ejpam-6110	328	59	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	328	60	)	)	PUNCT
ejpam-6110	328	61	,	,	PUNCT
ejpam-6110	328	62	0.8e−0.2(0.8	0.8e−0.2(0.8	NUM
ejpam-6110	328	63	)	)	PUNCT
ejpam-6110	328	64	0.1e−0.2(0.1	0.1e−0.2(0.1	NUM
ejpam-6110	328	65	)	)	PUNCT
ejpam-6110	328	66	,	,	PUNCT
ejpam-6110	328	67	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	328	68	)	)	PUNCT
ejpam-6110	328	69	l3	l3	PROPN
ejpam-6110	328	70	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	328	71	)	)	PUNCT
ejpam-6110	328	72	,	,	PUNCT
ejpam-6110	328	73	0.9e−0.2(0.9	0.9e−0.2(0.9	NUM
ejpam-6110	328	74	)	)	PUNCT
ejpam-6110	328	75	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	328	76	)	)	PUNCT
ejpam-6110	328	77	,	,	PUNCT
ejpam-6110	328	78	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	328	79	)	)	PUNCT
ejpam-6110	328	80	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	328	81	)	)	PUNCT
ejpam-6110	328	82	,	,	PUNCT
ejpam-6110	328	83	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	328	84	)	)	PUNCT
ejpam-6110	328	85	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	328	86	)	)	PUNCT
ejpam-6110	328	87	,	,	PUNCT
ejpam-6110	328	88	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	328	89	)	)	PUNCT
ejpam-6110	329	1	l4	l4	PROPN
ejpam-6110	329	2	0.7e−0.2(0.7	0.7e−0.2(0.7	PROPN
ejpam-6110	329	3	)	)	PUNCT
ejpam-6110	329	4	,	,	PUNCT
ejpam-6110	329	5	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	6	)	)	PUNCT
ejpam-6110	329	7	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	8	)	)	PUNCT
ejpam-6110	329	9	,	,	PUNCT
ejpam-6110	329	10	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	11	)	)	PUNCT
ejpam-6110	329	12	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	13	)	)	PUNCT
ejpam-6110	329	14	,	,	PUNCT
ejpam-6110	329	15	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	16	)	)	PUNCT
ejpam-6110	329	17	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	18	)	)	PUNCT
ejpam-6110	329	19	,	,	PUNCT
ejpam-6110	329	20	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	21	)	)	PUNCT
ejpam-6110	329	22			NOUN
ejpam-6110	329	23	matrix	matrix	NOUN
ejpam-6110	329	24	2	2	NUM
ejpam-6110	329	25	:	:	PUNCT
ejpam-6110	329	26	imported	import	VERB
ejpam-6110	329	27	raw	raw	ADJ
ejpam-6110	329	28	materials	material	NOUN
ejpam-6110	329	29	in	in	ADP
ejpam-6110	329	30	2019	2019	NUM
ejpam-6110	329	31	:	:	PUNCT
ejpam-6110	329	32	a2	a2	PROPN
ejpam-6110	329	33	=	=	PROPN
ejpam-6110	329	34			PROPN
ejpam-6110	329	35	f1	f1	PROPN
ejpam-6110	329	36	f2	f2	PROPN
ejpam-6110	329	37	f3	f3	VERB
ejpam-6110	329	38	f4	f4	PROPN
ejpam-6110	329	39	l1	l1	PROPN
ejpam-6110	329	40	0.1e−0.2(0.1	0.1e−0.2(0.1	PROPN
ejpam-6110	329	41	)	)	PUNCT
ejpam-6110	329	42	,	,	PUNCT
ejpam-6110	329	43	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	44	)	)	PUNCT
ejpam-6110	329	45	0.8e−0.2(0.8	0.8e−0.2(0.8	NUM
ejpam-6110	329	46	)	)	PUNCT
ejpam-6110	329	47	,	,	PUNCT
ejpam-6110	329	48	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	49	)	)	PUNCT
ejpam-6110	329	50	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	51	)	)	PUNCT
ejpam-6110	329	52	,	,	PUNCT
ejpam-6110	329	53	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	54	)	)	PUNCT
ejpam-6110	329	55	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	56	)	)	PUNCT
ejpam-6110	329	57	,	,	PUNCT
ejpam-6110	329	58	0.6e−0.2(0.6	0.6e−0.2(0.6	X
ejpam-6110	329	59	)	)	PUNCT
ejpam-6110	329	60	l2	l2	NOUN
ejpam-6110	329	61	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	62	)	)	PUNCT
ejpam-6110	329	63	,	,	PUNCT
ejpam-6110	329	64	0.4e−0.2(0.54	0.4e−0.2(0.54	NUM
ejpam-6110	329	65	)	)	PUNCT
ejpam-6110	329	66	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	67	)	)	PUNCT
ejpam-6110	329	68	,	,	PUNCT
ejpam-6110	329	69	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	70	)	)	PUNCT
ejpam-6110	329	71	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	72	)	)	PUNCT
ejpam-6110	329	73	,	,	PUNCT
ejpam-6110	329	74	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	75	)	)	PUNCT
ejpam-6110	329	76	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	77	)	)	PUNCT
ejpam-6110	329	78	,	,	PUNCT
ejpam-6110	329	79	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	80	)	)	PUNCT
ejpam-6110	329	81	l3	l3	PROPN
ejpam-6110	329	82	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	83	)	)	PUNCT
ejpam-6110	329	84	,	,	PUNCT
ejpam-6110	329	85	0.8e−0.2(0.8	0.8e−0.2(0.8	NUM
ejpam-6110	329	86	)	)	PUNCT
ejpam-6110	329	87	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	88	)	)	PUNCT
ejpam-6110	329	89	,	,	PUNCT
ejpam-6110	329	90	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	91	)	)	PUNCT
ejpam-6110	329	92	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	93	)	)	PUNCT
ejpam-6110	329	94	,	,	PUNCT
ejpam-6110	329	95	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	96	)	)	PUNCT
ejpam-6110	329	97	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	98	)	)	PUNCT
ejpam-6110	329	99	,	,	PUNCT
ejpam-6110	329	100	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	101	)	)	PUNCT
ejpam-6110	329	102	l4	l4	PROPN
ejpam-6110	329	103	0.7e−0.2(0.7	0.7e−0.2(0.7	PROPN
ejpam-6110	329	104	)	)	PUNCT
ejpam-6110	329	105	,	,	PUNCT
ejpam-6110	329	106	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	107	)	)	PUNCT
ejpam-6110	329	108	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	109	)	)	PUNCT
ejpam-6110	329	110	,	,	PUNCT
ejpam-6110	329	111	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	112	)	)	PUNCT
ejpam-6110	329	113	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	114	)	)	PUNCT
ejpam-6110	329	115	,	,	PUNCT
ejpam-6110	329	116	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	117	)	)	PUNCT
ejpam-6110	329	118	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	119	)	)	PUNCT
ejpam-6110	329	120	,	,	PUNCT
ejpam-6110	329	121	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	122	)	)	PUNCT
ejpam-6110	329	123			NOUN
ejpam-6110	329	124	matrix	matrix	NOUN
ejpam-6110	329	125	3	3	NUM
ejpam-6110	329	126	:	:	PUNCT
ejpam-6110	329	127	imported	import	VERB
ejpam-6110	329	128	raw	raw	ADJ
ejpam-6110	329	129	materials	material	NOUN
ejpam-6110	329	130	in	in	ADP
ejpam-6110	329	131	2020	2020	NUM
ejpam-6110	329	132	:	:	PUNCT
ejpam-6110	329	133	a3	a3	NOUN
ejpam-6110	329	134	=	=	SYM
ejpam-6110	329	135			NOUN
ejpam-6110	329	136	f1	f1	PROPN
ejpam-6110	329	137	f2	f2	PROPN
ejpam-6110	329	138	f3	f3	VERB
ejpam-6110	329	139	f4	f4	PROPN
ejpam-6110	329	140	l1	l1	PROPN
ejpam-6110	329	141	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	142	)	)	PUNCT
ejpam-6110	329	143	,	,	PUNCT
ejpam-6110	329	144	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	145	)	)	PUNCT
ejpam-6110	329	146	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	147	)	)	PUNCT
ejpam-6110	329	148	,	,	PUNCT
ejpam-6110	329	149	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	150	)	)	PUNCT
ejpam-6110	329	151	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	152	)	)	PUNCT
ejpam-6110	329	153	,	,	PUNCT
ejpam-6110	329	154	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	155	)	)	PUNCT
ejpam-6110	329	156	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	157	)	)	PUNCT
ejpam-6110	329	158	,	,	PUNCT
ejpam-6110	329	159	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	160	)	)	PUNCT
ejpam-6110	329	161	l2	l2	NOUN
ejpam-6110	329	162	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	163	)	)	PUNCT
ejpam-6110	329	164	,	,	PUNCT
ejpam-6110	329	165	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	166	)	)	PUNCT
ejpam-6110	329	167	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	168	)	)	PUNCT
ejpam-6110	329	169	,	,	PUNCT
ejpam-6110	329	170	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	171	)	)	PUNCT
ejpam-6110	329	172	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	173	)	)	PUNCT
ejpam-6110	329	174	,	,	PUNCT
ejpam-6110	329	175	0.6e−0.2(0.6	0.6e−0.2(0.6	X
ejpam-6110	329	176	)	)	PUNCT
ejpam-6110	329	177	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	329	178	)	)	PUNCT
ejpam-6110	329	179	,	,	PUNCT
ejpam-6110	329	180	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	181	)	)	PUNCT
ejpam-6110	329	182	l3	l3	PROPN
ejpam-6110	329	183	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	184	)	)	PUNCT
ejpam-6110	329	185	,	,	PUNCT
ejpam-6110	329	186	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	329	187	)	)	PUNCT
ejpam-6110	329	188	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	329	189	)	)	PUNCT
ejpam-6110	329	190	,	,	PUNCT
ejpam-6110	329	191	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	329	192	)	)	PUNCT
ejpam-6110	329	193	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	329	194	)	)	PUNCT
ejpam-6110	329	195	,	,	PUNCT
ejpam-6110	329	196	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	329	197	)	)	PUNCT
ejpam-6110	329	198	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	329	199	)	)	PUNCT
ejpam-6110	329	200	,	,	PUNCT
ejpam-6110	329	201	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	329	202	)	)	PUNCT
ejpam-6110	330	1	l4	l4	PROPN
ejpam-6110	330	2	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	330	3	)	)	PUNCT
ejpam-6110	330	4	,	,	PUNCT
ejpam-6110	330	5	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	330	6	)	)	PUNCT
ejpam-6110	330	7	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	330	8	)	)	PUNCT
ejpam-6110	330	9	,	,	PUNCT
ejpam-6110	330	10	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	330	11	)	)	PUNCT
ejpam-6110	330	12	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	330	13	)	)	PUNCT
ejpam-6110	330	14	,	,	PUNCT
ejpam-6110	330	15	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	330	16	)	)	PUNCT
ejpam-6110	330	17	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	330	18	)	)	PUNCT
ejpam-6110	330	19	,	,	PUNCT
ejpam-6110	330	20	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	330	21	)	)	PUNCT
ejpam-6110	330	22			NOUN
ejpam-6110	330	23	we	we	PRON
ejpam-6110	330	24	formulate	formulate	VERB
ejpam-6110	330	25	the	the	DET
ejpam-6110	330	26	a1max	a1max	PROPN
ejpam-6110	330	27	,	,	PUNCT
ejpam-6110	330	28	a1max	a1max	PUNCT
ejpam-6110	330	29	and	and	CCONJ
ejpam-6110	330	30	a1max	a1max	NUM
ejpam-6110	330	31	matrices	matrix	NOUN
ejpam-6110	330	32	by	by	ADP
ejpam-6110	330	33	using	use	VERB
ejpam-6110	330	34	equation	equation	NOUN
ejpam-6110	330	35	(	(	PUNCT
ejpam-6110	330	36	4.1	4.1	NUM
ejpam-6110	330	37	)	)	PUNCT
ejpam-6110	330	38	.	.	PUNCT
ejpam-6110	330	39	a1max	a1max	PUNCT
ejpam-6110	331	1	=	=	X
ejpam-6110	332	1			NUM
ejpam-6110	332	2	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	332	3	)	)	PUNCT
ejpam-6110	332	4	,	,	PUNCT
ejpam-6110	332	5	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	332	6	)	)	PUNCT
ejpam-6110	332	7	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	332	8	)	)	PUNCT
ejpam-6110	332	9	,	,	PUNCT
ejpam-6110	332	10	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	332	11	)	)	PUNCT
ejpam-6110	332	12	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	332	13	)	)	PUNCT
ejpam-6110	332	14	,	,	PUNCT
ejpam-6110	332	15	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	332	16	)	)	PUNCT
ejpam-6110	332	17	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	332	18	)	)	PUNCT
ejpam-6110	332	19	,	,	PUNCT
ejpam-6110	332	20	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	332	21	)	)	PUNCT
ejpam-6110	332	22	a2max	a2max	PUNCT
ejpam-6110	333	1	=	=	PRON
ejpam-6110	333	2			PROPN
ejpam-6110	333	3	0.8e−0.2(0.8	0.8e−0.2(0.8	NUM
ejpam-6110	333	4	)	)	PUNCT
ejpam-6110	333	5	,	,	PUNCT
ejpam-6110	333	6	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	7	)	)	PUNCT
ejpam-6110	333	8	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	333	9	)	)	PUNCT
ejpam-6110	333	10	,	,	PUNCT
ejpam-6110	333	11	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	12	)	)	PUNCT
ejpam-6110	333	13	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	333	14	)	)	PUNCT
ejpam-6110	333	15	,	,	PUNCT
ejpam-6110	333	16	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	17	)	)	PUNCT
ejpam-6110	333	18	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	333	19	)	)	PUNCT
ejpam-6110	333	20	,	,	PUNCT
ejpam-6110	333	21	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	22	)	)	PUNCT
ejpam-6110	333	23			NOUN
ejpam-6110	333	24	&	&	CCONJ
ejpam-6110	333	25	a3max	a3max	ADV
ejpam-6110	333	26	=	=	SYM
ejpam-6110	333	27			PROPN
ejpam-6110	333	28	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	333	29	)	)	PUNCT
ejpam-6110	333	30	,	,	PUNCT
ejpam-6110	333	31	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	333	32	)	)	PUNCT
ejpam-6110	333	33	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	333	34	)	)	PUNCT
ejpam-6110	333	35	,	,	PUNCT
ejpam-6110	333	36	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	37	)	)	PUNCT
ejpam-6110	333	38	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	333	39	)	)	PUNCT
ejpam-6110	333	40	,	,	PUNCT
ejpam-6110	333	41	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	333	42	)	)	PUNCT
ejpam-6110	333	43	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	333	44	)	)	PUNCT
ejpam-6110	333	45	,	,	PUNCT
ejpam-6110	333	46	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	333	47	)	)	PUNCT
ejpam-6110	333	48			NOUN
ejpam-6110	333	49	we	we	PRON
ejpam-6110	333	50	formulate	formulate	VERB
ejpam-6110	333	51	the	the	DET
ejpam-6110	333	52	a1min	a1min	NOUN
ejpam-6110	333	53	,	,	PUNCT
ejpam-6110	333	54	a1min	a1min	ADJ
ejpam-6110	333	55	and	and	CCONJ
ejpam-6110	333	56	a1min	a1min	ADJ
ejpam-6110	333	57	matrices	matrix	NOUN
ejpam-6110	333	58	by	by	ADP
ejpam-6110	333	59	using	use	VERB
ejpam-6110	333	60	equation	equation	NOUN
ejpam-6110	333	61	(	(	PUNCT
ejpam-6110	333	62	4.2	4.2	NUM
ejpam-6110	333	63	)	)	PUNCT
ejpam-6110	333	64	.	.	PUNCT
ejpam-6110	334	1	a1min	a1min	PUNCT
ejpam-6110	335	1	=	=	PRON
ejpam-6110	335	2			PROPN
ejpam-6110	335	3	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	335	4	)	)	PUNCT
ejpam-6110	335	5	,	,	PUNCT
ejpam-6110	335	6	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	335	7	)	)	PUNCT
ejpam-6110	335	8	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	335	9	)	)	PUNCT
ejpam-6110	335	10	,	,	PUNCT
ejpam-6110	335	11	0.8e−0.2(0.8	0.8e−0.2(0.8	NUM
ejpam-6110	335	12	)	)	PUNCT
ejpam-6110	335	13	0.1e−0.2(0.1	0.1e−0.2(0.1	NUM
ejpam-6110	335	14	)	)	PUNCT
ejpam-6110	335	15	,	,	PUNCT
ejpam-6110	335	16	0.9e−0.2(0.9	0.9e−0.2(0.9	NUM
ejpam-6110	335	17	)	)	PUNCT
ejpam-6110	335	18	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	335	19	)	)	PUNCT
ejpam-6110	335	20	,	,	PUNCT
ejpam-6110	335	21	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	335	22	)	)	PUNCT
ejpam-6110	335	23	a2min	a2min	PROPN
ejpam-6110	335	24	=	=	PUNCT
ejpam-6110	335	25			PROPN
ejpam-6110	335	26	0.1e−0.2(0.8	0.1e−0.2(0.8	NUM
ejpam-6110	335	27	)	)	PUNCT
ejpam-6110	335	28	,	,	PUNCT
ejpam-6110	335	29	0.4e−0.2(0.3	0.4e−0.2(0.3	NUM
ejpam-6110	335	30	)	)	PUNCT
ejpam-6110	335	31	0.1e−0.2(0.6	0.1e−0.2(0.6	NUM
ejpam-6110	335	32	)	)	PUNCT
ejpam-6110	335	33	,	,	PUNCT
ejpam-6110	335	34	0.2e−0.2(0.6	0.2e−0.2(0.6	NUM
ejpam-6110	335	35	)	)	PUNCT
ejpam-6110	335	36	0.1e−0.2(0.8	0.1e−0.2(0.8	NUM
ejpam-6110	335	37	)	)	PUNCT
ejpam-6110	335	38	,	,	PUNCT
ejpam-6110	335	39	0.1e−0.2(0.7	0.1e−0.2(0.7	NUM
ejpam-6110	335	40	)	)	PUNCT
ejpam-6110	335	41	0.1e−0.2(0.7	0.1e−0.2(0.7	NUM
ejpam-6110	335	42	)	)	PUNCT
ejpam-6110	335	43	,	,	PUNCT
ejpam-6110	335	44	0.2e−0.2(0.5	0.2e−0.2(0.5	NUM
ejpam-6110	335	45	)	)	PUNCT
ejpam-6110	335	46			PROPN
ejpam-6110	335	47	&	&	CCONJ
ejpam-6110	335	48	m.	m.	PROPN
ejpam-6110	335	49	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	335	50	et	et	PROPN
ejpam-6110	335	51	al	al	PROPN
ejpam-6110	335	52	.	.	PUNCT
ejpam-6110	335	53	/	/	SYM
ejpam-6110	335	54	eur	eur	PROPN
ejpam-6110	335	55	.	.	PUNCT
ejpam-6110	336	1	j.	j.	PROPN
ejpam-6110	336	2	pure	pure	PROPN
ejpam-6110	336	3	appl	appl	PROPN
ejpam-6110	336	4	.	.	PROPN
ejpam-6110	336	5	math	math	PROPN
ejpam-6110	336	6	,	,	PUNCT
ejpam-6110	336	7	18	18	NUM
ejpam-6110	336	8	(	(	PUNCT
ejpam-6110	336	9	3	3	NUM
ejpam-6110	336	10	)	)	PUNCT
ejpam-6110	336	11	(	(	PUNCT
ejpam-6110	336	12	2025	2025	NUM
ejpam-6110	336	13	)	)	PUNCT
ejpam-6110	336	14	,	,	PUNCT
ejpam-6110	336	15	6110	6110	NUM
ejpam-6110	336	16	18	18	NUM
ejpam-6110	336	17	of	of	ADP
ejpam-6110	336	18	20	20	NUM
ejpam-6110	336	19	a3min	a3min	NOUN
ejpam-6110	336	20	=	=	SYM
ejpam-6110	336	21			PROPN
ejpam-6110	336	22	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	336	23	)	)	PUNCT
ejpam-6110	336	24	,	,	PUNCT
ejpam-6110	336	25	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	336	26	)	)	PUNCT
ejpam-6110	336	27	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	336	28	)	)	PUNCT
ejpam-6110	336	29	,	,	PUNCT
ejpam-6110	336	30	0.6e−0.2(0.6	0.6e−0.2(0.6	NUM
ejpam-6110	336	31	)	)	PUNCT
ejpam-6110	336	32	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	336	33	)	)	PUNCT
ejpam-6110	336	34	,	,	PUNCT
ejpam-6110	336	35	0.7e−0.2(0.7	0.7e−0.2(0.7	NOUN
ejpam-6110	336	36	)	)	PUNCT
ejpam-6110	336	37	0.2e−0.2(0.2	0.2e−0.2(0.2	NUM
ejpam-6110	336	38	)	)	PUNCT
ejpam-6110	336	39	,	,	PUNCT
ejpam-6110	336	40	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	336	41	)	)	PUNCT
ejpam-6110	336	42			NOUN
ejpam-6110	336	43	the	the	DET
ejpam-6110	336	44	asmo	asmo	PROPN
ejpam-6110	336	45	st	st	PROPN
ejpam-6110	337	1	:	:	PUNCT
ejpam-6110	337	2	t	t	PROPN
ejpam-6110	337	3	=	=	SYM
ejpam-6110	337	4	1	1	NUM
ejpam-6110	337	5	,	,	PUNCT
ejpam-6110	337	6	2	2	NUM
ejpam-6110	337	7	,	,	PUNCT
ejpam-6110	337	8	3	3	NUM
ejpam-6110	337	9	,	,	PUNCT
ejpam-6110	337	10	s1(a1max	s1(a1max	ADV
ejpam-6110	337	11	,	,	PUNCT
ejpam-6110	337	12	a1min	a1min	ADJ
ejpam-6110	337	13	)	)	PUNCT
ejpam-6110	337	14	=	=	SYM
ejpam-6110	338	1			PROPN
ejpam-6110	338	2	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	338	3	)	)	PUNCT
ejpam-6110	338	4	,	,	PUNCT
ejpam-6110	338	5	0.35e−0.2(0.35	0.35e−0.2(0.35	NOUN
ejpam-6110	338	6	)	)	PUNCT
ejpam-6110	338	7	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	338	8	)	)	PUNCT
ejpam-6110	338	9	,	,	PUNCT
ejpam-6110	338	10	0.45e−0.2(0.45	0.45e−0.2(0.45	NUM
ejpam-6110	338	11	)	)	PUNCT
ejpam-6110	338	12	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	338	13	)	)	PUNCT
ejpam-6110	338	14	,	,	PUNCT
ejpam-6110	338	15	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	338	16	)	)	PUNCT
ejpam-6110	338	17	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	338	18	)	)	PUNCT
ejpam-6110	338	19	,	,	PUNCT
ejpam-6110	338	20	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	338	21	)	)	PUNCT
ejpam-6110	338	22			NOUN
ejpam-6110	338	23	,	,	PUNCT
ejpam-6110	338	24	s2(a2max	s2(a2max	ADJ
ejpam-6110	338	25	,	,	PUNCT
ejpam-6110	338	26	a2min	a2min	NOUN
ejpam-6110	338	27	)	)	PUNCT
ejpam-6110	338	28	=	=	SYM
ejpam-6110	338	29			ADJ
ejpam-6110	338	30	0.45e−0.2(0.5	0.45e−0.2(0.5	NUM
ejpam-6110	338	31	)	)	PUNCT
ejpam-6110	338	32	,	,	PUNCT
ejpam-6110	338	33	0.35e−0.2(0.35	0.35e−0.2(0.35	NOUN
ejpam-6110	338	34	)	)	PUNCT
ejpam-6110	338	35	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	338	36	)	)	PUNCT
ejpam-6110	338	37	,	,	PUNCT
ejpam-6110	338	38	0.15e−0.2(0.15	0.15e−0.2(0.15	NUM
ejpam-6110	338	39	)	)	PUNCT
ejpam-6110	338	40	0.25e−0.2(0.25	0.25e−0.2(0.25	NUM
ejpam-6110	338	41	)	)	PUNCT
ejpam-6110	338	42	,	,	PUNCT
ejpam-6110	338	43	0.1e−0.2(0.1	0.1e−0.2(0.1	NOUN
ejpam-6110	338	44	)	)	PUNCT
ejpam-6110	338	45	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	338	46	)	)	PUNCT
ejpam-6110	338	47	,	,	PUNCT
ejpam-6110	338	48	0.15e−0.2(0.15	0.15e−0.2(0.15	NUM
ejpam-6110	338	49	)	)	PUNCT
ejpam-6110	338	50			NOUN
ejpam-6110	338	51	and	and	CCONJ
ejpam-6110	338	52	s3(a3max	s3(a3max	NOUN
ejpam-6110	338	53	,	,	PUNCT
ejpam-6110	338	54	a3min	a3min	PROPN
ejpam-6110	338	55	)	)	PUNCT
ejpam-6110	339	1	=	=	SYM
ejpam-6110	339	2			PROPN
ejpam-6110	339	3	0.5e−0.2(0.5	0.5e−0.2(0.5	NUM
ejpam-6110	339	4	)	)	PUNCT
ejpam-6110	339	5	,	,	PUNCT
ejpam-6110	339	6	0.3e−0.2(0.3	0.3e−0.2(0.3	NUM
ejpam-6110	339	7	)	)	PUNCT
ejpam-6110	339	8	0.45e−0.2(0.45	0.45e−0.2(0.45	NUM
ejpam-6110	339	9	)	)	PUNCT
ejpam-6110	339	10	,	,	PUNCT
ejpam-6110	339	11	0.35e−0.2(0.35	0.35e−0.2(0.35	NOUN
ejpam-6110	339	12	)	)	PUNCT
ejpam-6110	339	13	0.35e−0.2(0.4	0.35e−0.2(0.4	NUM
ejpam-6110	339	14	)	)	PUNCT
ejpam-6110	339	15	,	,	PUNCT
ejpam-6110	339	16	0.4e−0.2(0.4	0.4e−0.2(0.4	NUM
ejpam-6110	339	17	)	)	PUNCT
ejpam-6110	339	18	0.4e−0.2(0.35	0.4e−0.2(0.35	NOUN
ejpam-6110	339	19	)	)	PUNCT
ejpam-6110	339	20	,	,	PUNCT
ejpam-6110	339	21	0.35e−0.2(0.35	0.35e−0.2(0.35	NOUN
ejpam-6110	339	22	)	)	PUNCT
ejpam-6110	339	23			NOUN
ejpam-6110	339	24	sept	sept	PROPN
ejpam-6110	339	25	5	5	NUM
ejpam-6110	339	26	we	we	PRON
ejpam-6110	339	27	find	find	VERB
ejpam-6110	339	28	asmo	asmo	NOUN
ejpam-6110	339	29	of	of	ADP
ejpam-6110	339	30	weight	weight	NOUN
ejpam-6110	339	31	d∗	d∗	NOUN
ejpam-6110	339	32	for	for	ADP
ejpam-6110	339	33	the	the	DET
ejpam-6110	339	34	vector	vector	NOUN
ejpam-6110	339	35	w	w	NOUN
ejpam-6110	339	36	=	=	PUNCT
ejpam-6110	339	37	(	(	PUNCT
ejpam-6110	339	38	0.2	0.2	NUM
ejpam-6110	339	39	,	,	PUNCT
ejpam-6110	339	40	0.2	0.2	NUM
ejpam-6110	339	41	,	,	PUNCT
ejpam-6110	339	42	0.2	0.2	NUM
ejpam-6110	339	43	,	,	PUNCT
ejpam-6110	339	44	0.2	0.2	NUM
ejpam-6110	339	45	)	)	PUNCT
ejpam-6110	339	46	d∗	d∗	PROPN
ejpam-6110	339	47	=	=	SYM
ejpam-6110	339	48			PROPN
ejpam-6110	339	49	0.10e−2(0.5	0.10e−2(0.5	NUM
ejpam-6110	339	50	)	)	PUNCT
ejpam-6110	339	51	,	,	PUNCT
ejpam-6110	339	52	0.10e−2(0.3	0.10e−2(0.3	NUM
ejpam-6110	339	53	)	)	PUNCT
ejpam-6110	339	54	0.15e−2(0.45	0.15e−2(0.45	NOUN
ejpam-6110	339	55	)	)	PUNCT
ejpam-6110	339	56	,	,	PUNCT
ejpam-6110	339	57	0.05e−2(0.15	0.05e−2(0.15	NOUN
ejpam-6110	339	58	)	)	PUNCT
ejpam-6110	339	59	0.14e−2(0.4	0.14e−2(0.4	NUM
ejpam-6110	339	60	)	)	PUNCT
ejpam-6110	339	61	,	,	PUNCT
ejpam-6110	339	62	0.02e−2(0.1	0.02e−2(0.1	NOUN
ejpam-6110	339	63	)	)	PUNCT
ejpam-6110	339	64	0.12e−2(0.5	0.12e−2(0.5	NOUN
ejpam-6110	339	65	)	)	PUNCT
ejpam-6110	339	66	,	,	PUNCT
ejpam-6110	339	67	0.04e−2(0.15	0.04e−2(0.15	PROPN
ejpam-6110	339	68	)	)	PUNCT
ejpam-6110	339	69			NOUN
ejpam-6110	339	70	sept	sept	PROPN
ejpam-6110	339	71	6	6	NUM
ejpam-6110	339	72	based	base	VERB
ejpam-6110	339	73	on	on	ADP
ejpam-6110	339	74	d∗	d∗	PROPN
ejpam-6110	339	75	values	value	NOUN
ejpam-6110	339	76	,	,	PUNCT
ejpam-6110	339	77	we	we	PRON
ejpam-6110	339	78	find	find	VERB
ejpam-6110	339	79	that	that	SCONJ
ejpam-6110	339	80	the	the	DET
ejpam-6110	339	81	nms	nms	NOUN
ejpam-6110	339	82	of	of	ADP
ejpam-6110	339	83	quality	quality	NOUN
ejpam-6110	339	84	is	be	AUX
ejpam-6110	339	85	more	more	ADJ
ejpam-6110	339	86	than	than	ADP
ejpam-6110	339	87	the	the	DET
ejpam-6110	339	88	ms	ms	NOUN
ejpam-6110	339	89	of	of	ADP
ejpam-6110	339	90	all	all	DET
ejpam-6110	339	91	other	other	ADJ
ejpam-6110	339	92	competing	compete	VERB
ejpam-6110	339	93	criteria	criterion	NOUN
ejpam-6110	339	94	,	,	PUNCT
ejpam-6110	339	95	and	and	CCONJ
ejpam-6110	339	96	that	that	SCONJ
ejpam-6110	339	97	the	the	DET
ejpam-6110	339	98	nms	nms	NOUN
ejpam-6110	339	99	of	of	ADP
ejpam-6110	339	100	quality	quality	NOUN
ejpam-6110	339	101	is	be	AUX
ejpam-6110	339	102	less	less	ADJ
ejpam-6110	339	103	than	than	ADP
ejpam-6110	339	104	that	that	PRON
ejpam-6110	339	105	of	of	ADP
ejpam-6110	339	106	all	all	DET
ejpam-6110	339	107	other	other	ADJ
ejpam-6110	339	108	conflicting	conflicting	ADJ
ejpam-6110	339	109	criteria	criterion	NOUN
ejpam-6110	339	110	.	.	PUNCT
ejpam-6110	340	1	so	so	ADV
ejpam-6110	340	2	,	,	PUNCT
ejpam-6110	340	3	l2	l2	NOUN
ejpam-6110	340	4	=	=	SYM
ejpam-6110	340	5	quality	quality	NOUN
ejpam-6110	340	6	is	be	AUX
ejpam-6110	340	7	the	the	DET
ejpam-6110	340	8	important	important	ADJ
ejpam-6110	340	9	criteria	criterion	NOUN
ejpam-6110	340	10	for	for	ADP
ejpam-6110	340	11	selection	selection	NOUN
ejpam-6110	340	12	of	of	ADP
ejpam-6110	340	13	raw	raw	ADJ
ejpam-6110	340	14	material	material	NOUN
ejpam-6110	340	15	in	in	ADP
ejpam-6110	340	16	a	a	DET
ejpam-6110	340	17	manufacturing	manufacture	VERB
ejpam-6110	340	18	company	company	NOUN
ejpam-6110	340	19	.	.	PUNCT
ejpam-6110	341	1	by	by	ADP
ejpam-6110	341	2	changing	change	VERB
ejpam-6110	341	3	the	the	DET
ejpam-6110	341	4	fixation	fixation	NOUN
ejpam-6110	341	5	value	value	NOUN
ejpam-6110	341	6	(	(	PUNCT
ejpam-6110	341	7	a	a	PRON
ejpam-6110	341	8	=	=	SYM
ejpam-6110	341	9	0.3	0.3	NUM
ejpam-6110	341	10	,	,	PUNCT
ejpam-6110	341	11	0.4	0.4	NUM
ejpam-6110	341	12	,	,	PUNCT
ejpam-6110	341	13	...	...	PUNCT
ejpam-6110	341	14	)	)	PUNCT
ejpam-6110	342	1	we	we	PRON
ejpam-6110	342	2	can	can	AUX
ejpam-6110	342	3	get	get	VERB
ejpam-6110	342	4	various	various	ADJ
ejpam-6110	342	5	results	result	NOUN
ejpam-6110	342	6	that	that	PRON
ejpam-6110	342	7	close	close	ADJ
ejpam-6110	342	8	to	to	ADP
ejpam-6110	342	9	1	1	NUM
ejpam-6110	342	10	which	which	PRON
ejpam-6110	342	11	means	mean	VERB
ejpam-6110	342	12	we	we	PRON
ejpam-6110	342	13	can	can	AUX
ejpam-6110	342	14	be	be	AUX
ejpam-6110	342	15	able	able	ADJ
ejpam-6110	342	16	get	get	VERB
ejpam-6110	342	17	the	the	DET
ejpam-6110	342	18	better	well	ADJ
ejpam-6110	342	19	solution	solution	NOUN
ejpam-6110	342	20	enhanced	enhance	VERB
ejpam-6110	342	21	with	with	ADP
ejpam-6110	342	22	absolute	absolute	ADJ
ejpam-6110	342	23	accuracy	accuracy	NOUN
ejpam-6110	342	24	.	.	PUNCT
ejpam-6110	343	1	4.2	4.2	NUM
ejpam-6110	343	2	.	.	PUNCT
ejpam-6110	344	1	comparative	comparative	ADJ
ejpam-6110	344	2	analysis	analysis	NOUN
ejpam-6110	344	3	efs	ef	NOUN
ejpam-6110	344	4	and	and	CCONJ
ejpam-6110	344	5	eifsare	eifsare	VERB
ejpam-6110	344	6	two	two	NUM
ejpam-6110	344	7	new	new	ADJ
ejpam-6110	344	8	tools	tool	NOUN
ejpam-6110	344	9	in	in	ADP
ejpam-6110	344	10	mathematics	mathematic	NOUN
ejpam-6110	344	11	introduced	introduce	VERB
ejpam-6110	344	12	in	in	ADP
ejpam-6110	344	13	an	an	DET
ejpam-6110	344	14	attempt	attempt	NOUN
ejpam-6110	344	15	to	to	PART
ejpam-6110	344	16	add	add	VERB
ejpam-6110	344	17	up	up	ADP
ejpam-6110	344	18	new	new	ADJ
ejpam-6110	344	19	ideas	idea	NOUN
ejpam-6110	344	20	on	on	ADP
ejpam-6110	344	21	modeling	modeling	NOUN
ejpam-6110	344	22	of	of	ADP
ejpam-6110	344	23	uncertainty	uncertainty	NOUN
ejpam-6110	344	24	in	in	ADP
ejpam-6110	344	25	real	real	ADJ
ejpam-6110	344	26	-	-	PUNCT
ejpam-6110	344	27	life	life	NOUN
ejpam-6110	344	28	cases	case	NOUN
ejpam-6110	344	29	particularly	particularly	ADV
ejpam-6110	344	30	when	when	SCONJ
ejpam-6110	344	31	it	it	PRON
ejpam-6110	344	32	comes	come	VERB
ejpam-6110	344	33	to	to	ADP
ejpam-6110	344	34	decision	decision	NOUN
ejpam-6110	344	35	-	-	PUNCT
ejpam-6110	344	36	making	make	VERB
ejpam-6110	344	37	and	and	CCONJ
ejpam-6110	344	38	information	information	NOUN
ejpam-6110	344	39	processing	processing	NOUN
ejpam-6110	344	40	.	.	PUNCT
ejpam-6110	345	1	using	use	VERB
ejpam-6110	345	2	exponential	exponential	ADJ
ejpam-6110	345	3	membership	membership	NOUN
ejpam-6110	345	4	functions	function	NOUN
ejpam-6110	345	5	,	,	PUNCT
ejpam-6110	345	6	efs	ef	NOUN
ejpam-6110	345	7	controls	control	VERB
ejpam-6110	345	8	the	the	DET
ejpam-6110	345	9	range	range	NOUN
ejpam-6110	345	10	of	of	ADP
ejpam-6110	345	11	the	the	DET
ejpam-6110	345	12	belongingness	belongingness	NOUN
ejpam-6110	345	13	of	of	ADP
ejpam-6110	345	14	elements	element	NOUN
ejpam-6110	345	15	to	to	PART
ejpam-6110	345	16	set	set	VERB
ejpam-6110	345	17	where	where	SCONJ
ejpam-6110	345	18	the	the	DET
ejpam-6110	345	19	smoother	smooth	ADJ
ejpam-6110	345	20	way	way	NOUN
ejpam-6110	345	21	of	of	ADP
ejpam-6110	345	22	the	the	DET
ejpam-6110	345	23	change	change	NOUN
ejpam-6110	345	24	of	of	ADP
ejpam-6110	345	25	the	the	DET
ejpam-6110	345	26	set	set	NOUN
ejpam-6110	345	27	and	and	CCONJ
ejpam-6110	345	28	the	the	DET
ejpam-6110	345	29	better	well	ADJ
ejpam-6110	345	30	handling	handling	NOUN
ejpam-6110	345	31	of	of	ADP
ejpam-6110	345	32	non	non	ADJ
ejpam-6110	345	33	-	-	ADJ
ejpam-6110	345	34	linear	linear	ADJ
ejpam-6110	345	35	fluctuations	fluctuation	NOUN
ejpam-6110	345	36	of	of	ADP
ejpam-6110	345	37	data	datum	NOUN
ejpam-6110	345	38	is	be	AUX
ejpam-6110	345	39	provided	provide	VERB
ejpam-6110	345	40	.	.	PUNCT
ejpam-6110	346	1	this	this	DET
ejpam-6110	346	2	methodology	methodology	NOUN
ejpam-6110	346	3	ensures	ensure	VERB
ejpam-6110	346	4	that	that	SCONJ
ejpam-6110	346	5	membership	membership	NOUN
ejpam-6110	346	6	values	value	NOUN
ejpam-6110	346	7	mildly	mildly	ADV
ejpam-6110	346	8	change	change	VERB
ejpam-6110	346	9	as	as	SCONJ
ejpam-6110	346	10	input	input	NOUN
ejpam-6110	346	11	changes	change	NOUN
ejpam-6110	346	12	are	be	AUX
ejpam-6110	346	13	made	make	VERB
ejpam-6110	346	14	in	in	ADP
ejpam-6110	346	15	small	small	ADJ
ejpam-6110	346	16	intervals	interval	NOUN
ejpam-6110	346	17	,	,	PUNCT
ejpam-6110	346	18	thus	thus	ADV
ejpam-6110	346	19	increasing	increase	VERB
ejpam-6110	346	20	the	the	DET
ejpam-6110	346	21	decision	decision	NOUN
ejpam-6110	346	22	-	-	PUNCT
ejpam-6110	346	23	making	make	VERB
ejpam-6110	346	24	sensitivity	sensitivity	NOUN
ejpam-6110	346	25	.	.	PUNCT
ejpam-6110	347	1	however	however	ADV
ejpam-6110	347	2	,	,	PUNCT
ejpam-6110	347	3	the	the	DET
ejpam-6110	347	4	efs	ef	NOUN
ejpam-6110	347	5	is	be	AUX
ejpam-6110	347	6	reliant	reliant	ADJ
ejpam-6110	347	7	only	only	ADV
ejpam-6110	347	8	on	on	ADP
ejpam-6110	347	9	a	a	DET
ejpam-6110	347	10	degree	degree	NOUN
ejpam-6110	347	11	of	of	ADP
ejpam-6110	347	12	membership	membership	NOUN
ejpam-6110	347	13	and	and	CCONJ
ejpam-6110	347	14	is	be	AUX
ejpam-6110	347	15	not	not	PART
ejpam-6110	347	16	able	able	ADJ
ejpam-6110	347	17	to	to	PART
ejpam-6110	347	18	measure	measure	VERB
ejpam-6110	347	19	directly	directly	ADV
ejpam-6110	347	20	the	the	DET
ejpam-6110	347	21	non	non	ADJ
ejpam-6110	347	22	-	-	ADJ
ejpam-6110	347	23	membership	membership	NOUN
ejpam-6110	347	24	or	or	CCONJ
ejpam-6110	347	25	hesitation	hesitation	NOUN
ejpam-6110	347	26	,	,	PUNCT
ejpam-6110	347	27	thus	thus	ADV
ejpam-6110	347	28	,	,	PUNCT
ejpam-6110	347	29	limiting	limit	VERB
ejpam-6110	347	30	the	the	DET
ejpam-6110	347	31	precision	precision	NOUN
ejpam-6110	347	32	of	of	ADP
ejpam-6110	347	33	the	the	DET
ejpam-6110	347	34	efs	ef	NOUN
ejpam-6110	347	35	in	in	ADP
ejpam-6110	347	36	a	a	DET
ejpam-6110	347	37	higher	high	ADJ
ejpam-6110	347	38	environment	environment	NOUN
ejpam-6110	347	39	with	with	ADP
ejpam-6110	347	40	incomplete	incomplete	ADJ
ejpam-6110	347	41	or	or	CCONJ
ejpam-6110	347	42	inconsistent	inconsistent	ADJ
ejpam-6110	347	43	data	datum	NOUN
ejpam-6110	347	44	.	.	PUNCT
ejpam-6110	348	1	on	on	ADP
ejpam-6110	348	2	the	the	DET
ejpam-6110	348	3	other	other	ADJ
ejpam-6110	348	4	hand	hand	NOUN
ejpam-6110	348	5	,	,	PUNCT
ejpam-6110	348	6	efss	efss	ADJ
ejpam-6110	348	7	compliments	compliment	NOUN
ejpam-6110	348	8	efs	ef	VERB
ejpam-6110	348	9	infra	infra	NOUN
ejpam-6110	348	10	structure	structure	NOUN
ejpam-6110	348	11	with	with	ADP
ejpam-6110	348	12	exponential	exponential	ADJ
ejpam-6110	348	13	membership	membership	NOUN
ejpam-6110	348	14	function	function	NOUN
ejpam-6110	348	15	/	/	SYM
ejpam-6110	348	16	non	non	NOUN
ejpam-6110	348	17	membership	membership	NOUN
ejpam-6110	348	18	function	function	NOUN
ejpam-6110	348	19	that	that	PRON
ejpam-6110	348	20	brings	bring	VERB
ejpam-6110	348	21	to	to	ADP
ejpam-6110	348	22	the	the	DET
ejpam-6110	348	23	argument	argument	NOUN
ejpam-6110	348	24	hesitation	hesitation	NOUN
ejpam-6110	348	25	degree	degree	NOUN
ejpam-6110	348	26	as	as	ADV
ejpam-6110	348	27	well	well	ADV
ejpam-6110	348	28	.	.	PUNCT
ejpam-6110	349	1	this	this	DET
ejpam-6110	349	2	three	three	NUM
ejpam-6110	349	3	-	-	PUNCT
ejpam-6110	349	4	component	component	NOUN
ejpam-6110	349	5	framework	framework	NOUN
ejpam-6110	349	6	can	can	AUX
ejpam-6110	349	7	assist	assist	VERB
ejpam-6110	349	8	eifss	eifss	ADV
ejpam-6110	349	9	to	to	PART
ejpam-6110	349	10	describe	describe	VERB
ejpam-6110	349	11	uncertainty	uncertainty	NOUN
ejpam-6110	349	12	more	more	ADV
ejpam-6110	349	13	satisfactorily	satisfactorily	ADV
ejpam-6110	349	14	,	,	PUNCT
ejpam-6110	349	15	as	as	SCONJ
ejpam-6110	349	16	it	it	PRON
ejpam-6110	349	17	can	can	AUX
ejpam-6110	349	18	offer	offer	VERB
ejpam-6110	349	19	a	a	DET
ejpam-6110	349	20	sharper	sharp	ADJ
ejpam-6110	349	21	and	and	CCONJ
ejpam-6110	349	22	more	more	ADJ
ejpam-6110	349	23	m.	m.	NOUN
ejpam-6110	349	24	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	349	25	et	et	PROPN
ejpam-6110	349	26	al	al	PROPN
ejpam-6110	349	27	.	.	PUNCT
ejpam-6110	349	28	/	/	SYM
ejpam-6110	349	29	eur	eur	PROPN
ejpam-6110	349	30	.	.	PUNCT
ejpam-6110	350	1	j.	j.	PROPN
ejpam-6110	350	2	pure	pure	PROPN
ejpam-6110	350	3	appl	appl	PROPN
ejpam-6110	350	4	.	.	PROPN
ejpam-6110	350	5	math	math	PROPN
ejpam-6110	350	6	,	,	PUNCT
ejpam-6110	350	7	18	18	NUM
ejpam-6110	350	8	(	(	PUNCT
ejpam-6110	350	9	3	3	NUM
ejpam-6110	350	10	)	)	PUNCT
ejpam-6110	350	11	(	(	PUNCT
ejpam-6110	350	12	2025	2025	NUM
ejpam-6110	350	13	)	)	PUNCT
ejpam-6110	350	14	,	,	PUNCT
ejpam-6110	350	15	6110	6110	NUM
ejpam-6110	350	16	19	19	NUM
ejpam-6110	350	17	of	of	ADP
ejpam-6110	350	18	20	20	NUM
ejpam-6110	350	19	robust	robust	ADJ
ejpam-6110	350	20	model	model	NOUN
ejpam-6110	350	21	for	for	ADP
ejpam-6110	350	22	cases	case	NOUN
ejpam-6110	350	23	when	when	SCONJ
ejpam-6110	350	24	decision	decision	NOUN
ejpam-6110	350	25	-	-	PUNCT
ejpam-6110	350	26	making	making	NOUN
ejpam-6110	350	27	is	be	AUX
ejpam-6110	350	28	marred	mar	VERB
ejpam-6110	350	29	within	within	ADP
ejpam-6110	350	30	imprecision	imprecision	NOUN
ejpam-6110	350	31	,	,	PUNCT
ejpam-6110	350	32	vagueness	vagueness	NOUN
ejpam-6110	350	33	,	,	PUNCT
ejpam-6110	350	34	and	and	CCONJ
ejpam-6110	350	35	the	the	DET
ejpam-6110	350	36	discordant	discordant	ADJ
ejpam-6110	350	37	criteria	criterion	NOUN
ejpam-6110	350	38	.	.	PUNCT
ejpam-6110	351	1	the	the	DET
ejpam-6110	351	2	eifss	eifss	NOUN
ejpam-6110	351	3	facilitates	facilitate	VERB
ejpam-6110	351	4	a	a	DET
ejpam-6110	351	5	more	more	ADV
ejpam-6110	351	6	effective	effective	ADJ
ejpam-6110	351	7	handling	handling	NOUN
ejpam-6110	351	8	of	of	ADP
ejpam-6110	351	9	the	the	DET
ejpam-6110	351	10	fuzzy	fuzzy	ADJ
ejpam-6110	351	11	data	datum	NOUN
ejpam-6110	351	12	due	due	ADP
ejpam-6110	351	13	to	to	ADP
ejpam-6110	351	14	differentiation	differentiation	NOUN
ejpam-6110	351	15	of	of	ADP
ejpam-6110	351	16	the	the	DET
ejpam-6110	351	17	unknown	unknown	ADJ
ejpam-6110	351	18	information	information	NOUN
ejpam-6110	351	19	and	and	CCONJ
ejpam-6110	351	20	unfavorable	unfavorable	ADJ
ejpam-6110	351	21	data	datum	NOUN
ejpam-6110	351	22	.	.	PUNCT
ejpam-6110	352	1	in	in	ADP
ejpam-6110	352	2	addition	addition	NOUN
ejpam-6110	352	3	,	,	PUNCT
ejpam-6110	352	4	operations	operation	NOUN
ejpam-6110	352	5	such	such	ADJ
ejpam-6110	352	6	as	as	ADP
ejpam-6110	352	7	intersection	intersection	NOUN
ejpam-6110	352	8	,	,	PUNCT
ejpam-6110	352	9	union	union	NOUN
ejpam-6110	352	10	,	,	PUNCT
ejpam-6110	352	11	ordinary	ordinary	ADJ
ejpam-6110	352	12	difference	difference	NOUN
ejpam-6110	352	13	,	,	PUNCT
ejpam-6110	352	14	and	and	CCONJ
ejpam-6110	352	15	disjoint	disjoint	NOUN
ejpam-6110	352	16	sum	sum	NOUN
ejpam-6110	352	17	are	be	AUX
ejpam-6110	352	18	also	also	ADV
ejpam-6110	352	19	expanded	expand	VERB
ejpam-6110	352	20	in	in	ADP
ejpam-6110	352	21	eifss	eifss	ADJ
ejpam-6110	352	22	model	model	NOUN
ejpam-6110	352	23	in	in	ADP
ejpam-6110	352	24	order	order	NOUN
ejpam-6110	352	25	to	to	PART
ejpam-6110	352	26	preserve	preserve	VERB
ejpam-6110	352	27	its	its	PRON
ejpam-6110	352	28	expanded	expand	VERB
ejpam-6110	352	29	structure	structure	NOUN
ejpam-6110	352	30	.	.	PUNCT
ejpam-6110	353	1	it	it	PRON
ejpam-6110	353	2	is	be	AUX
ejpam-6110	353	3	notwithstanding	notwithstanding	ADP
ejpam-6110	353	4	the	the	DET
ejpam-6110	353	5	fact	fact	NOUN
ejpam-6110	353	6	that	that	SCONJ
ejpam-6110	353	7	eifss	eifss	ADJ
ejpam-6110	353	8	computations	computation	NOUN
ejpam-6110	353	9	are	be	AUX
ejpam-6110	353	10	more	more	ADV
ejpam-6110	353	11	formidable	formidable	ADJ
ejpam-6110	353	12	that	that	SCONJ
ejpam-6110	353	13	the	the	DET
ejpam-6110	353	14	system	system	NOUN
ejpam-6110	353	15	potentiality	potentiality	NOUN
ejpam-6110	353	16	for	for	ADP
ejpam-6110	353	17	accommodating	accommodate	VERB
ejpam-6110	353	18	larger	large	ADJ
ejpam-6110	353	19	uncertainties	uncertainty	NOUN
ejpam-6110	353	20	and	and	CCONJ
ejpam-6110	353	21	inconsistencies	inconsistency	NOUN
ejpam-6110	353	22	and	and	CCONJ
ejpam-6110	353	23	hence	hence	ADV
ejpam-6110	353	24	the	the	DET
ejpam-6110	353	25	resulting	result	VERB
ejpam-6110	353	26	decisions	decision	NOUN
ejpam-6110	353	27	being	be	AUX
ejpam-6110	353	28	in	in	ADP
ejpam-6110	353	29	the	the	DET
ejpam-6110	353	30	capacity	capacity	NOUN
ejpam-6110	353	31	of	of	ADP
ejpam-6110	353	32	making	make	VERB
ejpam-6110	353	33	more	more	ADV
ejpam-6110	353	34	profound	profound	ADJ
ejpam-6110	353	35	dichotomies	dichotomy	NOUN
ejpam-6110	353	36	advances	advance	VERB
ejpam-6110	353	37	its	its	PRON
ejpam-6110	353	38	case	case	NOUN
ejpam-6110	353	39	as	as	ADP
ejpam-6110	353	40	a	a	DET
ejpam-6110	353	41	very	very	ADV
ejpam-6110	353	42	powerful	powerful	ADJ
ejpam-6110	353	43	tool	tool	NOUN
ejpam-6110	353	44	in	in	ADP
ejpam-6110	353	45	scenarios	scenario	NOUN
ejpam-6110	353	46	such	such	ADJ
ejpam-6110	353	47	as	as	ADP
ejpam-6110	353	48	multi	multi	ADJ
ejpam-6110	353	49	-	-	ADJ
ejpam-6110	353	50	criteria	criterion	NOUN
ejpam-6110	353	51	decisionmaking	decisionmaking	NOUN
ejpam-6110	353	52	,	,	PUNCT
ejpam-6110	353	53	the	the	DET
ejpam-6110	353	54	appraisal	appraisal	NOUN
ejpam-6110	353	55	,	,	PUNCT
ejpam-6110	353	56	supplier	supplier	NOUN
ejpam-6110	353	57	selection	selection	NOUN
ejpam-6110	353	58	,	,	PUNCT
ejpam-6110	353	59	and	and	CCONJ
ejpam-6110	353	60	resource	resource	NOUN
ejpam-6110	353	61	allocation	allocation	NOUN
ejpam-6110	353	62	.	.	PUNCT
ejpam-6110	354	1	5	5	X
ejpam-6110	354	2	.	.	X
ejpam-6110	354	3	conclusion	conclusion	NOUN
ejpam-6110	354	4	eifss	eifss	ADV
ejpam-6110	354	5	are	be	AUX
ejpam-6110	354	6	a	a	DET
ejpam-6110	354	7	strong	strong	ADJ
ejpam-6110	354	8	expansion	expansion	NOUN
ejpam-6110	354	9	of	of	ADP
ejpam-6110	354	10	traditional	traditional	ADJ
ejpam-6110	354	11	intuitionistic	intuitionistic	ADJ
ejpam-6110	354	12	fss	fss	NOUN
ejpam-6110	354	13	that	that	PRON
ejpam-6110	354	14	improves	improve	VERB
ejpam-6110	354	15	the	the	DET
ejpam-6110	354	16	capacity	capacity	NOUN
ejpam-6110	354	17	to	to	PART
ejpam-6110	354	18	express	express	VERB
ejpam-6110	354	19	uncertainty	uncertainty	NOUN
ejpam-6110	354	20	by	by	ADP
ejpam-6110	354	21	using	use	VERB
ejpam-6110	354	22	exponential	exponential	ADJ
ejpam-6110	354	23	membership	membership	NOUN
ejpam-6110	354	24	and	and	CCONJ
ejpam-6110	354	25	nonmembership	nonmembership	NOUN
ejpam-6110	354	26	functions	function	NOUN
ejpam-6110	354	27	.	.	PUNCT
ejpam-6110	355	1	the	the	DET
ejpam-6110	355	2	operations	operation	NOUN
ejpam-6110	355	3	investigated	investigate	VERB
ejpam-6110	355	4	,	,	PUNCT
ejpam-6110	355	5	such	such	ADJ
ejpam-6110	355	6	as	as	ADP
ejpam-6110	355	7	intersection	intersection	NOUN
ejpam-6110	355	8	,	,	PUNCT
ejpam-6110	355	9	union	union	NOUN
ejpam-6110	355	10	,	,	PUNCT
ejpam-6110	355	11	difference	difference	NOUN
ejpam-6110	355	12	measures	measure	NOUN
ejpam-6110	355	13	,	,	PUNCT
ejpam-6110	355	14	sum	sum	NOUN
ejpam-6110	355	15	operations	operation	NOUN
ejpam-6110	355	16	,	,	PUNCT
ejpam-6110	355	17	and	and	CCONJ
ejpam-6110	355	18	cartesian	cartesian	ADJ
ejpam-6110	355	19	products	product	NOUN
ejpam-6110	355	20	,	,	PUNCT
ejpam-6110	355	21	show	show	VERB
ejpam-6110	355	22	their	their	PRON
ejpam-6110	355	23	usefulness	usefulness	NOUN
ejpam-6110	355	24	in	in	ADP
ejpam-6110	355	25	dealing	deal	VERB
ejpam-6110	355	26	with	with	ADP
ejpam-6110	355	27	complicated	complicated	ADJ
ejpam-6110	355	28	decision	decision	NOUN
ejpam-6110	355	29	-	-	PUNCT
ejpam-6110	355	30	making	make	VERB
ejpam-6110	355	31	issues	issue	NOUN
ejpam-6110	355	32	.	.	PUNCT
ejpam-6110	356	1	the	the	DET
ejpam-6110	356	2	use	use	NOUN
ejpam-6110	356	3	of	of	ADP
ejpam-6110	356	4	these	these	DET
ejpam-6110	356	5	processes	process	NOUN
ejpam-6110	356	6	in	in	ADP
ejpam-6110	356	7	raw	raw	ADJ
ejpam-6110	356	8	material	material	NOUN
ejpam-6110	356	9	procurement	procurement	NOUN
ejpam-6110	356	10	demonstrates	demonstrate	VERB
ejpam-6110	356	11	their	their	PRON
ejpam-6110	356	12	usefulness	usefulness	NOUN
ejpam-6110	356	13	in	in	ADP
ejpam-6110	356	14	assessing	assess	VERB
ejpam-6110	356	15	various	various	ADJ
ejpam-6110	356	16	providers	provider	NOUN
ejpam-6110	356	17	in	in	ADP
ejpam-6110	356	18	unpredictable	unpredictable	ADJ
ejpam-6110	356	19	settings	setting	NOUN
ejpam-6110	356	20	.	.	PUNCT
ejpam-6110	357	1	organisations	organisation	NOUN
ejpam-6110	357	2	that	that	PRON
ejpam-6110	357	3	use	use	VERB
ejpam-6110	357	4	eifs	eif	NOUN
ejpam-6110	357	5	-	-	PUNCT
ejpam-6110	357	6	based	base	VERB
ejpam-6110	357	7	decision	decision	NOUN
ejpam-6110	357	8	-	-	PUNCT
ejpam-6110	357	9	making	make	VERB
ejpam-6110	357	10	procedures	procedure	NOUN
ejpam-6110	357	11	may	may	AUX
ejpam-6110	357	12	make	make	VERB
ejpam-6110	357	13	more	more	ADV
ejpam-6110	357	14	informed	informed	ADJ
ejpam-6110	357	15	and	and	CCONJ
ejpam-6110	357	16	balanced	balanced	ADJ
ejpam-6110	357	17	decisions	decision	NOUN
ejpam-6110	357	18	,	,	PUNCT
ejpam-6110	357	19	taking	take	VERB
ejpam-6110	357	20	into	into	ADP
ejpam-6110	357	21	account	account	NOUN
ejpam-6110	357	22	critical	critical	ADJ
ejpam-6110	357	23	criteria	criterion	NOUN
ejpam-6110	357	24	such	such	ADJ
ejpam-6110	357	25	as	as	ADP
ejpam-6110	357	26	cost	cost	NOUN
ejpam-6110	357	27	,	,	PUNCT
ejpam-6110	357	28	quality	quality	NOUN
ejpam-6110	357	29	,	,	PUNCT
ejpam-6110	357	30	and	and	CCONJ
ejpam-6110	357	31	delivery	delivery	NOUN
ejpam-6110	357	32	time	time	NOUN
ejpam-6110	357	33	.	.	PUNCT
ejpam-6110	358	1	the	the	DET
ejpam-6110	358	2	findings	finding	NOUN
ejpam-6110	358	3	show	show	VERB
ejpam-6110	358	4	that	that	SCONJ
ejpam-6110	358	5	eifs	eif	VERB
ejpam-6110	358	6	not	not	PART
ejpam-6110	358	7	only	only	ADV
ejpam-6110	358	8	improves	improve	VERB
ejpam-6110	358	9	decision	decision	NOUN
ejpam-6110	358	10	accuracy	accuracy	NOUN
ejpam-6110	358	11	,	,	PUNCT
ejpam-6110	358	12	but	but	CCONJ
ejpam-6110	358	13	also	also	ADV
ejpam-6110	358	14	provides	provide	VERB
ejpam-6110	358	15	an	an	DET
ejpam-6110	358	16	organised	organised	ADJ
ejpam-6110	358	17	way	way	NOUN
ejpam-6110	358	18	for	for	ADP
ejpam-6110	358	19	dealing	deal	VERB
ejpam-6110	358	20	with	with	ADP
ejpam-6110	358	21	contradictory	contradictory	ADJ
ejpam-6110	358	22	and	and	CCONJ
ejpam-6110	358	23	insufficient	insufficient	ADJ
ejpam-6110	358	24	information	information	NOUN
ejpam-6110	358	25	in	in	ADP
ejpam-6110	358	26	procurement	procurement	NOUN
ejpam-6110	358	27	procedures	procedure	NOUN
ejpam-6110	358	28	.	.	PUNCT
ejpam-6110	359	1	future	future	ADJ
ejpam-6110	359	2	works	work	NOUN
ejpam-6110	359	3	:	:	PUNCT
ejpam-6110	359	4	the	the	DET
ejpam-6110	359	5	concept	concept	NOUN
ejpam-6110	359	6	exponential	exponential	ADJ
ejpam-6110	359	7	intuitionistic	intuitionistic	ADJ
ejpam-6110	359	8	fuzzy	fuzzy	ADJ
ejpam-6110	359	9	sets	set	NOUN
ejpam-6110	359	10	we	we	PRON
ejpam-6110	359	11	can	can	AUX
ejpam-6110	359	12	applied	apply	VERB
ejpam-6110	359	13	in	in	ADP
ejpam-6110	359	14	future	future	ADJ
ejpam-6110	359	15	works	work	NOUN
ejpam-6110	359	16	in	in	ADP
ejpam-6110	359	17	graph	graph	NOUN
ejpam-6110	359	18	theory	theory	NOUN
ejpam-6110	359	19	and	and	CCONJ
ejpam-6110	359	20	decision	decision	NOUN
ejpam-6110	359	21	making	make	VERB
ejpam-6110	359	22	problems	problem	NOUN
ejpam-6110	359	23	.	.	PUNCT
ejpam-6110	360	1	references	reference	NOUN
ejpam-6110	360	2	[	[	X
ejpam-6110	360	3	1	1	NUM
ejpam-6110	360	4	]	]	PUNCT
ejpam-6110	360	5	l.	l.	PROPN
ejpam-6110	360	6	a.	a.	PROPN
ejpam-6110	360	7	zadeh	zadeh	PROPN
ejpam-6110	360	8	.	.	PUNCT
ejpam-6110	361	1	fuzzy	fuzzy	ADJ
ejpam-6110	361	2	sets	set	NOUN
ejpam-6110	361	3	.	.	PUNCT
ejpam-6110	362	1	information	information	NOUN
ejpam-6110	362	2	and	and	CCONJ
ejpam-6110	362	3	control	control	NOUN
ejpam-6110	362	4	,	,	PUNCT
ejpam-6110	362	5	8:338–353	8:338–353	NUM
ejpam-6110	362	6	,	,	PUNCT
ejpam-6110	362	7	1965	1965	NUM
ejpam-6110	362	8	.	.	PUNCT
ejpam-6110	363	1	[	[	X
ejpam-6110	363	2	2	2	NUM
ejpam-6110	363	3	]	]	PUNCT
ejpam-6110	363	4	l.	l.	PROPN
ejpam-6110	363	5	a.	a.	PROPN
ejpam-6110	363	6	zadeh	zadeh	PROPN
ejpam-6110	363	7	.	.	PUNCT
ejpam-6110	363	8	fuzzy	fuzzy	ADJ
ejpam-6110	363	9	sets	set	NOUN
ejpam-6110	363	10	as	as	ADP
ejpam-6110	363	11	a	a	DET
ejpam-6110	363	12	basis	basis	NOUN
ejpam-6110	363	13	for	for	ADP
ejpam-6110	363	14	a	a	DET
ejpam-6110	363	15	theory	theory	NOUN
ejpam-6110	363	16	of	of	ADP
ejpam-6110	363	17	possibility	possibility	NOUN
ejpam-6110	363	18	.	.	PUNCT
ejpam-6110	364	1	fuzzy	fuzzy	ADJ
ejpam-6110	364	2	sets	set	NOUN
ejpam-6110	364	3	and	and	CCONJ
ejpam-6110	364	4	systems	system	NOUN
ejpam-6110	364	5	,	,	PUNCT
ejpam-6110	364	6	1(1):3–28	1(1):3–28	PROPN
ejpam-6110	364	7	,	,	PUNCT
ejpam-6110	364	8	1978	1978	NUM
ejpam-6110	364	9	.	.	PUNCT
ejpam-6110	365	1	[	[	X
ejpam-6110	365	2	3	3	NUM
ejpam-6110	365	3	]	]	X
ejpam-6110	365	4	hiroshi	hiroshi	PROPN
ejpam-6110	365	5	maeda	maeda	PROPN
ejpam-6110	365	6	and	and	CCONJ
ejpam-6110	365	7	shuta	shuta	ADJ
ejpam-6110	365	8	murakami	murakami	NOUN
ejpam-6110	365	9	.	.	PUNCT
ejpam-6110	366	1	a	a	DET
ejpam-6110	366	2	fuzzy	fuzzy	ADJ
ejpam-6110	366	3	decision	decision	NOUN
ejpam-6110	366	4	-	-	PUNCT
ejpam-6110	366	5	making	make	VERB
ejpam-6110	366	6	method	method	NOUN
ejpam-6110	366	7	and	and	CCONJ
ejpam-6110	366	8	its	its	PRON
ejpam-6110	366	9	application	application	NOUN
ejpam-6110	366	10	to	to	ADP
ejpam-6110	366	11	a	a	DET
ejpam-6110	366	12	company	company	NOUN
ejpam-6110	366	13	choice	choice	NOUN
ejpam-6110	366	14	problem	problem	NOUN
ejpam-6110	366	15	.	.	PUNCT
ejpam-6110	367	1	information	information	NOUN
ejpam-6110	367	2	sciences	science	NOUN
ejpam-6110	367	3	,	,	PUNCT
ejpam-6110	367	4	45(2):331–346	45(2):331–346	NUM
ejpam-6110	367	5	,	,	PUNCT
ejpam-6110	367	6	1988	1988	NUM
ejpam-6110	367	7	.	.	PUNCT
ejpam-6110	368	1	[	[	X
ejpam-6110	368	2	4	4	NUM
ejpam-6110	368	3	]	]	PUNCT
ejpam-6110	368	4	shyi	shyi	PROPN
ejpam-6110	368	5	-	-	PUNCT
ejpam-6110	368	6	ming	ming	PROPN
ejpam-6110	368	7	chen	chen	PROPN
ejpam-6110	368	8	and	and	CCONJ
ejpam-6110	368	9	jiann	jiann	PROPN
ejpam-6110	368	10	-	-	PUNCT
ejpam-6110	368	11	mean	mean	PROPN
ejpam-6110	368	12	tan	tan	PROPN
ejpam-6110	368	13	.	.	PUNCT
ejpam-6110	369	1	handling	handle	VERB
ejpam-6110	369	2	multicriteria	multicriteria	X
ejpam-6110	369	3	fuzzy	fuzzy	ADJ
ejpam-6110	369	4	decision	decision	NOUN
ejpam-6110	369	5	-	-	PUNCT
ejpam-6110	369	6	making	make	VERB
ejpam-6110	369	7	problems	problem	NOUN
ejpam-6110	369	8	based	base	VERB
ejpam-6110	369	9	on	on	ADP
ejpam-6110	369	10	vague	vague	ADJ
ejpam-6110	369	11	set	set	NOUN
ejpam-6110	369	12	theory	theory	NOUN
ejpam-6110	369	13	.	.	PUNCT
ejpam-6110	370	1	fuzzy	fuzzy	ADJ
ejpam-6110	370	2	sets	set	NOUN
ejpam-6110	370	3	and	and	CCONJ
ejpam-6110	370	4	systems	system	NOUN
ejpam-6110	370	5	,	,	PUNCT
ejpam-6110	370	6	67(2):163–172	67(2):163–172	NOUN
ejpam-6110	370	7	,	,	PUNCT
ejpam-6110	370	8	1994	1994	NUM
ejpam-6110	370	9	.	.	PUNCT
ejpam-6110	371	1	[	[	X
ejpam-6110	371	2	5	5	X
ejpam-6110	371	3	]	]	PUNCT
ejpam-6110	371	4	k.	k.	PROPN
ejpam-6110	371	5	t.	t.	PROPN
ejpam-6110	371	6	atanassov	atanassov	PROPN
ejpam-6110	371	7	.	.	PUNCT
ejpam-6110	372	1	intuitionistic	intuitionistic	ADJ
ejpam-6110	372	2	fuzzy	fuzzy	ADJ
ejpam-6110	372	3	sets	set	NOUN
ejpam-6110	372	4	.	.	PUNCT
ejpam-6110	373	1	fuzzy	fuzzy	ADJ
ejpam-6110	373	2	sets	set	NOUN
ejpam-6110	373	3	and	and	CCONJ
ejpam-6110	373	4	systems	system	NOUN
ejpam-6110	373	5	,	,	PUNCT
ejpam-6110	373	6	20(1):87–96	20(1):87–96	NUM
ejpam-6110	373	7	,	,	PUNCT
ejpam-6110	373	8	1986	1986	NUM
ejpam-6110	373	9	.	.	PUNCT
ejpam-6110	374	1	[	[	X
ejpam-6110	374	2	6	6	NUM
ejpam-6110	374	3	]	]	X
ejpam-6110	374	4	hua	hua	PROPN
ejpam-6110	374	5	-	-	PUNCT
ejpam-6110	374	6	wen	wen	PROPN
ejpam-6110	374	7	liu	liu	PROPN
ejpam-6110	374	8	and	and	CCONJ
ejpam-6110	374	9	guo	guo	PROPN
ejpam-6110	374	10	-	-	PUNCT
ejpam-6110	374	11	jun	jun	PROPN
ejpam-6110	374	12	wang	wang	PROPN
ejpam-6110	374	13	.	.	PUNCT
ejpam-6110	375	1	multi	multi	ADJ
ejpam-6110	375	2	-	-	NOUN
ejpam-6110	375	3	criteria	criterion	NOUN
ejpam-6110	375	4	decision	decision	NOUN
ejpam-6110	375	5	-	-	PUNCT
ejpam-6110	375	6	making	make	VERB
ejpam-6110	375	7	methods	method	NOUN
ejpam-6110	375	8	based	base	VERB
ejpam-6110	375	9	on	on	ADP
ejpam-6110	375	10	intuitionistic	intuitionistic	ADJ
ejpam-6110	375	11	fuzzy	fuzzy	ADJ
ejpam-6110	375	12	sets	set	NOUN
ejpam-6110	375	13	.	.	PUNCT
ejpam-6110	376	1	european	european	ADJ
ejpam-6110	376	2	journal	journal	PROPN
ejpam-6110	376	3	of	of	ADP
ejpam-6110	376	4	operational	operational	ADJ
ejpam-6110	376	5	research	research	NOUN
ejpam-6110	376	6	,	,	PUNCT
ejpam-6110	376	7	179(1):220–233	179(1):220–233	NUM
ejpam-6110	376	8	,	,	PUNCT
ejpam-6110	376	9	2007	2007	NUM
ejpam-6110	376	10	.	.	PUNCT
ejpam-6110	377	1	[	[	X
ejpam-6110	377	2	7	7	X
ejpam-6110	377	3	]	]	PUNCT
ejpam-6110	377	4	fatih	fatih	PROPN
ejpam-6110	377	5	emre	emre	PROPN
ejpam-6110	377	6	boran	boran	PROPN
ejpam-6110	377	7	,	,	PUNCT
ejpam-6110	377	8	serkan	serkan	ADJ
ejpam-6110	377	9	genº	genº	NOUN
ejpam-6110	377	10	,	,	PUNCT
ejpam-6110	377	11	mustafa	mustafa	PROPN
ejpam-6110	377	12	kurt	kurt	PROPN
ejpam-6110	377	13	,	,	PUNCT
ejpam-6110	377	14	and	and	CCONJ
ejpam-6110	377	15	diyar	diyar	PROPN
ejpam-6110	377	16	akay	akay	PROPN
ejpam-6110	377	17	.	.	PUNCT
ejpam-6110	378	1	a	a	DET
ejpam-6110	378	2	multi	multi	ADJ
ejpam-6110	378	3	-	-	ADJ
ejpam-6110	378	4	criteria	criterion	NOUN
ejpam-6110	378	5	intuitionistic	intuitionistic	ADJ
ejpam-6110	378	6	fuzzy	fuzzy	ADJ
ejpam-6110	378	7	group	group	NOUN
ejpam-6110	378	8	decision	decision	NOUN
ejpam-6110	378	9	making	make	VERB
ejpam-6110	378	10	for	for	ADP
ejpam-6110	378	11	supplier	supplier	NOUN
ejpam-6110	378	12	selection	selection	NOUN
ejpam-6110	378	13	with	with	ADP
ejpam-6110	378	14	topsis	topsis	NOUN
ejpam-6110	378	15	method	method	NOUN
ejpam-6110	378	16	.	.	PUNCT
ejpam-6110	379	1	expert	expert	NOUN
ejpam-6110	379	2	systems	system	NOUN
ejpam-6110	379	3	with	with	ADP
ejpam-6110	379	4	applications	application	NOUN
ejpam-6110	379	5	,	,	PUNCT
ejpam-6110	379	6	36(8):11363–11368	36(8):11363–11368	NUM
ejpam-6110	379	7	,	,	PUNCT
ejpam-6110	379	8	2009	2009	NUM
ejpam-6110	379	9	.	.	PUNCT
ejpam-6110	380	1	[	[	X
ejpam-6110	380	2	8	8	X
ejpam-6110	380	3	]	]	PUNCT
ejpam-6110	380	4	s.	s.	PROPN
ejpam-6110	380	5	m.	m.	PROPN
ejpam-6110	380	6	chen	chen	PROPN
ejpam-6110	380	7	and	and	CCONJ
ejpam-6110	380	8	c.	c.	PROPN
ejpam-6110	380	9	h.	h.	PROPN
ejpam-6110	380	10	chang	chang	PROPN
ejpam-6110	380	11	.	.	PUNCT
ejpam-6110	381	1	a	a	DET
ejpam-6110	381	2	novel	novel	ADJ
ejpam-6110	381	3	similarity	similarity	NOUN
ejpam-6110	381	4	measure	measure	NOUN
ejpam-6110	381	5	between	between	ADP
ejpam-6110	381	6	atanassov	atanassov	PROPN
ejpam-6110	381	7	’s	’s	PART
ejpam-6110	381	8	intuitionistic	intuitionistic	ADJ
ejpam-6110	381	9	fuzzy	fuzzy	ADJ
ejpam-6110	381	10	sets	set	NOUN
ejpam-6110	381	11	based	base	VERB
ejpam-6110	381	12	on	on	ADP
ejpam-6110	381	13	transformation	transformation	NOUN
ejpam-6110	381	14	techniques	technique	NOUN
ejpam-6110	381	15	with	with	ADP
ejpam-6110	381	16	applications	application	NOUN
ejpam-6110	381	17	to	to	PART
ejpam-6110	381	18	pattern	pattern	NOUN
ejpam-6110	381	19	recognition	recognition	NOUN
ejpam-6110	381	20	.	.	PUNCT
ejpam-6110	382	1	information	information	NOUN
ejpam-6110	382	2	sciences	sciences	PROPN
ejpam-6110	382	3	,	,	PUNCT
ejpam-6110	382	4	291:96–114	291:96–114	NUM
ejpam-6110	382	5	,	,	PUNCT
ejpam-6110	382	6	2015	2015	NUM
ejpam-6110	382	7	.	.	PUNCT
ejpam-6110	383	1	[	[	X
ejpam-6110	383	2	9	9	NUM
ejpam-6110	383	3	]	]	PUNCT
ejpam-6110	383	4	s.	s.	PROPN
ejpam-6110	383	5	m.	m.	PROPN
ejpam-6110	383	6	chen	chen	PROPN
ejpam-6110	383	7	,	,	PUNCT
ejpam-6110	383	8	y.	y.	PROPN
ejpam-6110	383	9	randyanto	randyanto	PROPN
ejpam-6110	383	10	,	,	PUNCT
ejpam-6110	383	11	and	and	CCONJ
ejpam-6110	383	12	s.	s.	PROPN
ejpam-6110	383	13	h.	h.	PROPN
ejpam-6110	383	14	cheng	cheng	PROPN
ejpam-6110	383	15	.	.	PUNCT
ejpam-6110	384	1	fuzzy	fuzzy	ADJ
ejpam-6110	384	2	queries	query	NOUN
ejpam-6110	384	3	processing	processing	NOUN
ejpam-6110	384	4	based	base	VERB
ejpam-6110	384	5	on	on	ADP
ejpam-6110	384	6	intuitionistic	intuitionistic	ADJ
ejpam-6110	384	7	fuzzy	fuzzy	ADJ
ejpam-6110	384	8	social	social	ADJ
ejpam-6110	384	9	relational	relational	ADJ
ejpam-6110	384	10	networks	network	NOUN
ejpam-6110	384	11	.	.	PUNCT
ejpam-6110	385	1	information	information	NOUN
ejpam-6110	385	2	sciences	sciences	PROPN
ejpam-6110	385	3	,	,	PUNCT
ejpam-6110	385	4	327:110–124	327:110–124	NUM
ejpam-6110	385	5	,	,	PUNCT
ejpam-6110	385	6	2016	2016	NUM
ejpam-6110	385	7	.	.	PUNCT
ejpam-6110	386	1	[	[	X
ejpam-6110	386	2	10	10	NUM
ejpam-6110	386	3	]	]	X
ejpam-6110	386	4	p.	p.	NOUN
ejpam-6110	386	5	a.	a.	NOUN
ejpam-6110	386	6	ejegwa	ejegwa	PROPN
ejpam-6110	386	7	and	and	CCONJ
ejpam-6110	386	8	j.	j.	PROPN
ejpam-6110	386	9	m.	m.	PROPN
ejpam-6110	386	10	agbetayo	agbetayo	PROPN
ejpam-6110	386	11	.	.	PUNCT
ejpam-6110	387	1	similarity	similarity	NOUN
ejpam-6110	387	2	-	-	PUNCT
ejpam-6110	387	3	distance	distance	NOUN
ejpam-6110	387	4	decision	decision	NOUN
ejpam-6110	387	5	-	-	PUNCT
ejpam-6110	387	6	making	make	VERB
ejpam-6110	387	7	technique	technique	NOUN
ejpam-6110	387	8	and	and	CCONJ
ejpam-6110	387	9	its	its	PRON
ejpam-6110	387	10	applications	application	NOUN
ejpam-6110	387	11	via	via	ADP
ejpam-6110	387	12	intuitionistic	intuitionistic	ADJ
ejpam-6110	387	13	fuzzy	fuzzy	ADJ
ejpam-6110	387	14	pairs	pair	NOUN
ejpam-6110	387	15	.	.	PUNCT
ejpam-6110	388	1	journal	journal	NOUN
ejpam-6110	388	2	of	of	ADP
ejpam-6110	388	3	computational	computational	ADJ
ejpam-6110	388	4	and	and	CCONJ
ejpam-6110	388	5	cognitive	cognitive	ADJ
ejpam-6110	388	6	engineering	engineering	NOUN
ejpam-6110	388	7	,	,	PUNCT
ejpam-6110	388	8	2(1):68–74	2(1):68–74	NUM
ejpam-6110	388	9	,	,	PUNCT
ejpam-6110	388	10	2022	2022	NUM
ejpam-6110	388	11	.	.	PUNCT
ejpam-6110	389	1	m.	m.	NOUN
ejpam-6110	389	2	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	389	3	et	et	PROPN
ejpam-6110	389	4	al	al	PROPN
ejpam-6110	389	5	.	.	PUNCT
ejpam-6110	389	6	/	/	SYM
ejpam-6110	389	7	eur	eur	PROPN
ejpam-6110	389	8	.	.	PUNCT
ejpam-6110	390	1	j.	j.	PROPN
ejpam-6110	390	2	pure	pure	PROPN
ejpam-6110	390	3	appl	appl	PROPN
ejpam-6110	390	4	.	.	PROPN
ejpam-6110	390	5	math	math	PROPN
ejpam-6110	390	6	,	,	PUNCT
ejpam-6110	390	7	18	18	NUM
ejpam-6110	390	8	(	(	PUNCT
ejpam-6110	390	9	3	3	NUM
ejpam-6110	390	10	)	)	PUNCT
ejpam-6110	390	11	(	(	PUNCT
ejpam-6110	390	12	2025	2025	NUM
ejpam-6110	390	13	)	)	PUNCT
ejpam-6110	390	14	,	,	PUNCT
ejpam-6110	390	15	6110	6110	NUM
ejpam-6110	390	16	20	20	NUM
ejpam-6110	390	17	of	of	ADP
ejpam-6110	390	18	20	20	NUM
ejpam-6110	390	19	[	[	SYM
ejpam-6110	390	20	11	11	NUM
ejpam-6110	390	21	]	]	X
ejpam-6110	390	22	h.	h.	PROPN
ejpam-6110	390	23	garg	garg	PROPN
ejpam-6110	390	24	,	,	PUNCT
ejpam-6110	390	25	m.	m.	NOUN
ejpam-6110	390	26	£	£	SYM
ejpam-6110	390	27	nver	nver	NOUN
ejpam-6110	390	28	,	,	PUNCT
ejpam-6110	390	29	m.	m.	NOUN
ejpam-6110	390	30	olgun	olgun	NOUN
ejpam-6110	390	31	,	,	PUNCT
ejpam-6110	390	32	et	et	PROPN
ejpam-6110	390	33	al	al	PROPN
ejpam-6110	390	34	.	.	PUNCT
ejpam-6110	391	1	an	an	DET
ejpam-6110	391	2	extended	extended	ADJ
ejpam-6110	391	3	edas	eda	NOUN
ejpam-6110	391	4	method	method	NOUN
ejpam-6110	391	5	with	with	ADP
ejpam-6110	391	6	circular	circular	ADJ
ejpam-6110	391	7	intuitionistic	intuitionistic	ADJ
ejpam-6110	391	8	fuzzy	fuzzy	ADJ
ejpam-6110	391	9	value	value	NOUN
ejpam-6110	391	10	features	feature	NOUN
ejpam-6110	391	11	and	and	CCONJ
ejpam-6110	391	12	its	its	PRON
ejpam-6110	391	13	application	application	NOUN
ejpam-6110	391	14	to	to	ADP
ejpam-6110	391	15	multi	multi	ADJ
ejpam-6110	391	16	-	-	NOUN
ejpam-6110	391	17	criteria	criterion	NOUN
ejpam-6110	391	18	decision	decision	NOUN
ejpam-6110	391	19	-	-	PUNCT
ejpam-6110	391	20	making	make	VERB
ejpam-6110	391	21	process	process	NOUN
ejpam-6110	391	22	.	.	PUNCT
ejpam-6110	392	1	artificial	artificial	ADJ
ejpam-6110	392	2	intelligence	intelligence	NOUN
ejpam-6110	392	3	review	review	NOUN
ejpam-6110	392	4	,	,	PUNCT
ejpam-6110	392	5	56:3173–3204	56:3173–3204	NUM
ejpam-6110	392	6	,	,	PUNCT
ejpam-6110	392	7	2023	2023	NUM
ejpam-6110	392	8	.	.	PUNCT
ejpam-6110	393	1	[	[	X
ejpam-6110	393	2	12	12	NUM
ejpam-6110	393	3	]	]	PUNCT
ejpam-6110	393	4	m.	m.	NOUN
ejpam-6110	393	5	wasim	wasim	PROPN
ejpam-6110	393	6	,	,	PUNCT
ejpam-6110	393	7	a.	a.	PROPN
ejpam-6110	393	8	yousaf	yousaf	PROPN
ejpam-6110	393	9	,	,	PUNCT
ejpam-6110	393	10	h.	h.	PROPN
ejpam-6110	393	11	alolaiyan	alolaiyan	PROPN
ejpam-6110	393	12	,	,	PUNCT
ejpam-6110	393	13	et	et	PROPN
ejpam-6110	393	14	al	al	PROPN
ejpam-6110	393	15	.	.	PUNCT
ejpam-6110	393	16	optimizing	optimize	VERB
ejpam-6110	393	17	decision	decision	NOUN
ejpam-6110	393	18	-	-	PUNCT
ejpam-6110	393	19	making	making	NOUN
ejpam-6110	393	20	with	with	ADP
ejpam-6110	393	21	aggregation	aggregation	NOUN
ejpam-6110	393	22	operators	operator	NOUN
ejpam-6110	393	23	for	for	ADP
ejpam-6110	393	24	generalized	generalized	ADJ
ejpam-6110	393	25	intuitionistic	intuitionistic	ADJ
ejpam-6110	393	26	fuzzy	fuzzy	ADJ
ejpam-6110	393	27	sets	set	NOUN
ejpam-6110	393	28	and	and	CCONJ
ejpam-6110	393	29	their	their	PRON
ejpam-6110	393	30	applications	application	NOUN
ejpam-6110	393	31	in	in	ADP
ejpam-6110	393	32	the	the	DET
ejpam-6110	393	33	tech	tech	NOUN
ejpam-6110	393	34	industry	industry	NOUN
ejpam-6110	393	35	.	.	PUNCT
ejpam-6110	394	1	scientific	scientific	ADJ
ejpam-6110	394	2	reports	report	NOUN
ejpam-6110	394	3	,	,	PUNCT
ejpam-6110	394	4	14:16538	14:16538	NUM
ejpam-6110	394	5	,	,	PUNCT
ejpam-6110	394	6	2024	2024	NUM
ejpam-6110	394	7	.	.	PUNCT
ejpam-6110	395	1	[	[	X
ejpam-6110	395	2	13	13	NUM
ejpam-6110	395	3	]	]	PUNCT
ejpam-6110	395	4	j.	j.	PROPN
ejpam-6110	395	5	ali	ali	PROPN
ejpam-6110	395	6	.	.	PUNCT
ejpam-6110	396	1	multi	multi	ADJ
ejpam-6110	396	2	-	-	ADJ
ejpam-6110	396	3	criteria	criterion	NOUN
ejpam-6110	396	4	decision	decision	NOUN
ejpam-6110	396	5	-	-	PUNCT
ejpam-6110	396	6	making	make	VERB
ejpam-6110	396	7	method	method	NOUN
ejpam-6110	396	8	based	base	VERB
ejpam-6110	396	9	on	on	ADP
ejpam-6110	396	10	an	an	DET
ejpam-6110	396	11	integrated	integrated	ADJ
ejpam-6110	396	12	model	model	NOUN
ejpam-6110	396	13	using	use	VERB
ejpam-6110	396	14	t	t	NOUN
ejpam-6110	396	15	-	-	PUNCT
ejpam-6110	396	16	spherical	spherical	ADJ
ejpam-6110	396	17	fuzzy	fuzzy	ADJ
ejpam-6110	396	18	aczel	aczel	NOUN
ejpam-6110	396	19	-	-	PUNCT
ejpam-6110	396	20	alsina	alsina	NOUN
ejpam-6110	396	21	prioritized	prioritize	VERB
ejpam-6110	396	22	aggregation	aggregation	NOUN
ejpam-6110	396	23	operators	operator	NOUN
ejpam-6110	396	24	.	.	PUNCT
ejpam-6110	397	1	computational	computational	ADJ
ejpam-6110	397	2	and	and	CCONJ
ejpam-6110	397	3	applied	applied	ADJ
ejpam-6110	397	4	mathematics	mathematic	NOUN
ejpam-6110	397	5	,	,	PUNCT
ejpam-6110	397	6	44(3):181	44(3):181	PROPN
ejpam-6110	397	7	,	,	PUNCT
ejpam-6110	397	8	2025	2025	NUM
ejpam-6110	397	9	.	.	PUNCT
ejpam-6110	398	1	[	[	X
ejpam-6110	398	2	14	14	NUM
ejpam-6110	398	3	]	]	PUNCT
ejpam-6110	398	4	j.	j.	PROPN
ejpam-6110	398	5	ali	ali	PROPN
ejpam-6110	398	6	,	,	PUNCT
ejpam-6110	398	7	s.	s.	PROPN
ejpam-6110	398	8	a.	a.	PROPN
ejpam-6110	398	9	o.	o.	PROPN
ejpam-6110	398	10	abdallah	abdallah	PROPN
ejpam-6110	398	11	,	,	PUNCT
ejpam-6110	398	12	and	and	CCONJ
ejpam-6110	398	13	n.	n.	PROPN
ejpam-6110	398	14	s.	s.	PROPN
ejpam-6110	398	15	abd	abd	PROPN
ejpam-6110	398	16	el	el	PROPN
ejpam-6110	398	17	-	-	PUNCT
ejpam-6110	398	18	gawaad	gawaad	NOUN
ejpam-6110	398	19	.	.	PUNCT
ejpam-6110	399	1	decision	decision	NOUN
ejpam-6110	399	2	analysis	analysis	NOUN
ejpam-6110	399	3	algorithm	algorithm	NOUN
ejpam-6110	399	4	using	use	VERB
ejpam-6110	399	5	frank	frank	ADJ
ejpam-6110	399	6	aggregation	aggregation	NOUN
ejpam-6110	399	7	in	in	ADP
ejpam-6110	399	8	the	the	DET
ejpam-6110	399	9	swara	swara	NOUN
ejpam-6110	399	10	framework	framework	NOUN
ejpam-6110	399	11	with	with	ADP
ejpam-6110	399	12	p	p	NOUN
ejpam-6110	399	13	,	,	PUNCT
ejpam-6110	399	14	q	q	NOUN
ejpam-6110	399	15	rung	rung	PROPN
ejpam-6110	399	16	orthopair	orthopair	ADJ
ejpam-6110	399	17	fuzzy	fuzzy	ADJ
ejpam-6110	399	18	information	information	NOUN
ejpam-6110	399	19	.	.	PUNCT
ejpam-6110	400	1	symmetry	symmetry	NOUN
ejpam-6110	400	2	,	,	PUNCT
ejpam-6110	400	3	16(10):1352	16(10):1352	NUM
ejpam-6110	400	4	,	,	PUNCT
ejpam-6110	400	5	2024	2024	NUM
ejpam-6110	400	6	.	.	PUNCT
ejpam-6110	401	1	[	[	X
ejpam-6110	401	2	15	15	NUM
ejpam-6110	401	3	]	]	X
ejpam-6110	401	4	m.	m.	PROPN
ejpam-6110	401	5	ali	ali	PROPN
ejpam-6110	401	6	,	,	PUNCT
ejpam-6110	401	7	d.	d.	PROPN
ejpam-6110	401	8	e.	e.	PROPN
ejpam-6110	401	9	tamir	tamir	PROPN
ejpam-6110	401	10	,	,	PUNCT
ejpam-6110	401	11	n.	n.	PROPN
ejpam-6110	401	12	d.	d.	PROPN
ejpam-6110	401	13	rishe	rishe	PROPN
ejpam-6110	401	14	,	,	PUNCT
ejpam-6110	401	15	and	and	CCONJ
ejpam-6110	401	16	a.	a.	NOUN
ejpam-6110	401	17	kandel	kandel	PROPN
ejpam-6110	401	18	.	.	PUNCT
ejpam-6110	402	1	complex	complex	ADJ
ejpam-6110	402	2	intuitionistic	intuitionistic	ADJ
ejpam-6110	402	3	fuzzy	fuzzy	ADJ
ejpam-6110	402	4	classes	class	NOUN
ejpam-6110	402	5	.	.	PUNCT
ejpam-6110	403	1	in	in	ADP
ejpam-6110	403	2	ieee	ieee	PROPN
ejpam-6110	403	3	international	international	ADJ
ejpam-6110	403	4	conference	conference	NOUN
ejpam-6110	403	5	on	on	ADP
ejpam-6110	403	6	fuzzy	fuzzy	ADJ
ejpam-6110	403	7	systems	system	NOUN
ejpam-6110	403	8	(	(	PUNCT
ejpam-6110	403	9	fuzz	fuzz	NOUN
ejpam-6110	403	10	-	-	PUNCT
ejpam-6110	403	11	ieee	ieee	NOUN
ejpam-6110	403	12	)	)	PUNCT
ejpam-6110	403	13	,	,	PUNCT
ejpam-6110	403	14	pages	page	NOUN
ejpam-6110	403	15	2027–2034	2027–2034	NUM
ejpam-6110	403	16	,	,	PUNCT
ejpam-6110	403	17	vancouver	vancouver	PROPN
ejpam-6110	403	18	,	,	PUNCT
ejpam-6110	403	19	bc	bc	PROPN
ejpam-6110	403	20	,	,	PUNCT
ejpam-6110	403	21	canada	canada	PROPN
ejpam-6110	403	22	,	,	PUNCT
ejpam-6110	403	23	2016	2016	NUM
ejpam-6110	403	24	.	.	PUNCT
ejpam-6110	404	1	[	[	X
ejpam-6110	404	2	16	16	NUM
ejpam-6110	404	3	]	]	PUNCT
ejpam-6110	404	4	m.	m.	NOUN
ejpam-6110	404	5	kaviyarasu	kaviyarasu	PROPN
ejpam-6110	404	6	,	,	PUNCT
ejpam-6110	404	7	m.	m.	NOUN
ejpam-6110	404	8	alqahtani	alqahtani	PROPN
ejpam-6110	404	9	,	,	PUNCT
ejpam-6110	404	10	and	and	CCONJ
ejpam-6110	404	11	m.	m.	NOUN
ejpam-6110	404	12	rajeshwari	rajeshwari	PROPN
ejpam-6110	404	13	.	.	PUNCT
ejpam-6110	405	1	exponential	exponential	ADJ
ejpam-6110	405	2	fuzzy	fuzzy	ADJ
ejpam-6110	405	3	sets	set	NOUN
ejpam-6110	405	4	and	and	CCONJ
ejpam-6110	405	5	applications	application	NOUN
ejpam-6110	405	6	of	of	ADP
ejpam-6110	405	7	ai	ai	ADJ
ejpam-6110	405	8	-	-	PUNCT
ejpam-6110	405	9	powered	power	VERB
ejpam-6110	405	10	investment	investment	NOUN
ejpam-6110	405	11	decision	decision	NOUN
ejpam-6110	405	12	-	-	PUNCT
ejpam-6110	405	13	making	making	NOUN
ejpam-6110	405	14	using	use	VERB
ejpam-6110	405	15	the	the	DET
ejpam-6110	405	16	weighted	weight	VERB
ejpam-6110	405	17	mean	mean	ADJ
ejpam-6110	405	18	method	method	NOUN
ejpam-6110	405	19	.	.	PUNCT
ejpam-6110	406	1	european	european	PROPN
ejpam-6110	406	2	journal	journal	PROPN
ejpam-6110	406	3	of	of	ADP
ejpam-6110	406	4	pure	pure	ADJ
ejpam-6110	406	5	and	and	CCONJ
ejpam-6110	406	6	applied	applied	ADJ
ejpam-6110	406	7	mathematics	mathematic	NOUN
ejpam-6110	406	8	,	,	PUNCT
ejpam-6110	406	9	18(2):6050–6050	18(2):6050–6050	NUM
ejpam-6110	406	10	,	,	PUNCT
ejpam-6110	406	11	2025	2025	NUM
ejpam-6110	406	12	.	.	PUNCT
ejpam-6110	407	1	[	[	X
ejpam-6110	407	2	17	17	NUM
ejpam-6110	407	3	]	]	X
ejpam-6110	407	4	roan	roan	NOUN
ejpam-6110	407	5	thi	thi	PROPN
ejpam-6110	407	6	ngan	ngan	PROPN
ejpam-6110	407	7	,	,	PUNCT
ejpam-6110	407	8	le	le	PROPN
ejpam-6110	407	9	hoang	hoang	PROPN
ejpam-6110	407	10	son	son	PROPN
ejpam-6110	407	11	,	,	PUNCT
ejpam-6110	407	12	mumtaz	mumtaz	PROPN
ejpam-6110	407	13	ali	ali	PROPN
ejpam-6110	407	14	,	,	PUNCT
ejpam-6110	407	15	dan	dan	PROPN
ejpam-6110	407	16	e.	e.	PROPN
ejpam-6110	407	17	tamir	tamir	PROPN
ejpam-6110	407	18	,	,	PUNCT
ejpam-6110	407	19	naphtali	naphtali	PROPN
ejpam-6110	407	20	d.	d.	PROPN
ejpam-6110	407	21	rishe	rishe	PROPN
ejpam-6110	407	22	,	,	PUNCT
ejpam-6110	407	23	and	and	CCONJ
ejpam-6110	407	24	abraham	abraham	PROPN
ejpam-6110	407	25	kandel	kandel	PROPN
ejpam-6110	407	26	.	.	PUNCT
ejpam-6110	408	1	representing	represent	VERB
ejpam-6110	408	2	complex	complex	ADJ
ejpam-6110	408	3	intuitionistic	intuitionistic	ADJ
ejpam-6110	408	4	fuzzy	fuzzy	ADJ
ejpam-6110	408	5	set	set	VERB
ejpam-6110	408	6	by	by	ADP
ejpam-6110	408	7	quaternion	quaternion	NOUN
ejpam-6110	408	8	numbers	number	NOUN
ejpam-6110	408	9	and	and	CCONJ
ejpam-6110	408	10	applications	application	NOUN
ejpam-6110	408	11	to	to	PART
ejpam-6110	408	12	decision	decision	VERB
ejpam-6110	408	13	making	making	NOUN
ejpam-6110	408	14	.	.	PUNCT
ejpam-6110	409	1	applied	apply	VERB
ejpam-6110	409	2	soft	soft	ADJ
ejpam-6110	409	3	computing	computing	NOUN
ejpam-6110	409	4	,	,	PUNCT
ejpam-6110	409	5	87:105961	87:105961	NUM
ejpam-6110	409	6	,	,	PUNCT
ejpam-6110	409	7	2020	2020	NUM
ejpam-6110	409	8	.	.	PUNCT
ejpam-6110	410	1	[	[	X
ejpam-6110	410	2	18	18	NUM
ejpam-6110	410	3	]	]	PUNCT
ejpam-6110	410	4	m.	m.	NOUN
ejpam-6110	410	5	akram	akram	PROPN
ejpam-6110	410	6	,	,	PUNCT
ejpam-6110	410	7	x.	x.	PROPN
ejpam-6110	410	8	peng	peng	PROPN
ejpam-6110	410	9	,	,	PUNCT
ejpam-6110	410	10	and	and	CCONJ
ejpam-6110	410	11	a.	a.	PROPN
ejpam-6110	410	12	sattar	sattar	PROPN
ejpam-6110	410	13	.	.	PUNCT
ejpam-6110	411	1	a	a	DET
ejpam-6110	411	2	new	new	ADJ
ejpam-6110	411	3	decision	decision	NOUN
ejpam-6110	411	4	-	-	PUNCT
ejpam-6110	411	5	making	make	VERB
ejpam-6110	411	6	model	model	NOUN
ejpam-6110	411	7	using	use	VERB
ejpam-6110	411	8	complex	complex	ADJ
ejpam-6110	411	9	intuitionistic	intuitionistic	ADJ
ejpam-6110	411	10	fuzzy	fuzzy	ADJ
ejpam-6110	411	11	hamacher	hamacher	NOUN
ejpam-6110	411	12	aggregation	aggregation	NOUN
ejpam-6110	411	13	operators	operator	NOUN
ejpam-6110	411	14	.	.	PUNCT
ejpam-6110	412	1	soft	soft	ADJ
ejpam-6110	412	2	computing	computing	NOUN
ejpam-6110	412	3	,	,	PUNCT
ejpam-6110	412	4	25:7059–7086	25:7059–7086	NUM
ejpam-6110	412	5	,	,	PUNCT
ejpam-6110	412	6	2021	2021	NUM
ejpam-6110	412	7	.	.	PUNCT
ejpam-6110	413	1	[	[	X
ejpam-6110	413	2	19	19	NUM
ejpam-6110	413	3	]	]	PUNCT
ejpam-6110	413	4	m.	m.	NOUN
ejpam-6110	413	5	zeeshan	zeeshan	PROPN
ejpam-6110	413	6	and	and	CCONJ
ejpam-6110	413	7	m.	m.	PROPN
ejpam-6110	413	8	khan	khan	PROPN
ejpam-6110	413	9	.	.	PUNCT
ejpam-6110	414	1	complex	complex	ADJ
ejpam-6110	414	2	fuzzy	fuzzy	ADJ
ejpam-6110	414	3	sets	set	NOUN
ejpam-6110	414	4	with	with	ADP
ejpam-6110	414	5	applications	application	NOUN
ejpam-6110	414	6	in	in	ADP
ejpam-6110	414	7	decision	decision	NOUN
ejpam-6110	414	8	-	-	PUNCT
ejpam-6110	414	9	making	making	NOUN
ejpam-6110	414	10	.	.	PUNCT
ejpam-6110	415	1	journal	journal	NOUN
ejpam-6110	415	2	of	of	ADP
ejpam-6110	415	3	fuzzy	fuzzy	ADJ
ejpam-6110	415	4	systems	system	NOUN
ejpam-6110	415	5	,	,	PUNCT
ejpam-6110	415	6	19(4):147–163	19(4):147–163	PROPN
ejpam-6110	415	7	,	,	PUNCT
ejpam-6110	415	8	2022	2022	NUM
ejpam-6110	415	9	.	.	PUNCT
ejpam-6110	416	1	[	[	X
ejpam-6110	416	2	20	20	NUM
ejpam-6110	416	3	]	]	PUNCT
ejpam-6110	416	4	sayedabbas	sayedabbas	NOUN
ejpam-6110	416	5	sobhi	sobhi	PROPN
ejpam-6110	416	6	and	and	CCONJ
ejpam-6110	416	7	scott	scott	PROPN
ejpam-6110	416	8	dick	dick	PROPN
ejpam-6110	416	9	.	.	PUNCT
ejpam-6110	417	1	an	an	DET
ejpam-6110	417	2	investigation	investigation	NOUN
ejpam-6110	417	3	of	of	ADP
ejpam-6110	417	4	complex	complex	ADJ
ejpam-6110	417	5	fuzzy	fuzzy	ADJ
ejpam-6110	417	6	sets	set	NOUN
ejpam-6110	417	7	for	for	ADP
ejpam-6110	417	8	large	large	ADJ
ejpam-6110	417	9	-	-	PUNCT
ejpam-6110	417	10	scale	scale	NOUN
ejpam-6110	417	11	learning	learning	NOUN
ejpam-6110	417	12	.	.	PUNCT
ejpam-6110	418	1	fuzzy	fuzzy	ADJ
ejpam-6110	418	2	sets	set	NOUN
ejpam-6110	418	3	and	and	CCONJ
ejpam-6110	418	4	systems	system	NOUN
ejpam-6110	418	5	,	,	PUNCT
ejpam-6110	418	6	page	page	NOUN
ejpam-6110	418	7	108660	108660	NUM
ejpam-6110	418	8	,	,	PUNCT
ejpam-6110	418	9	2023	2023	NUM
ejpam-6110	418	10	.	.	PUNCT
ejpam-6110	419	1	[	[	X
ejpam-6110	419	2	21	21	NUM
ejpam-6110	419	3	]	]	PUNCT
ejpam-6110	419	4	m.	m.	NOUN
ejpam-6110	419	5	bilal	bilal	PROPN
ejpam-6110	419	6	,	,	PUNCT
ejpam-6110	419	7	i.	i.	PROPN
ejpam-6110	419	8	ul	ul	PROPN
ejpam-6110	419	9	haq	haq	PROPN
ejpam-6110	419	10	,	,	PUNCT
ejpam-6110	419	11	n.	n.	PROPN
ejpam-6110	419	12	kausar	kausar	PROPN
ejpam-6110	419	13	,	,	PUNCT
ejpam-6110	419	14	m.	m.	NOUN
ejpam-6110	419	15	i.	i.	PROPN
ejpam-6110	419	16	khan	khan	PROPN
ejpam-6110	419	17	,	,	PUNCT
ejpam-6110	419	18	d.	d.	PROPN
ejpam-6110	419	19	pamucar	pamucar	PROPN
ejpam-6110	419	20	,	,	PUNCT
ejpam-6110	419	21	and	and	CCONJ
ejpam-6110	419	22	j.	j.	PROPN
ejpam-6110	419	23	el	el	PROPN
ejpam-6110	419	24	maalouf	maalouf	PROPN
ejpam-6110	419	25	.	.	PUNCT
ejpam-6110	420	1	multi	multi	ADJ
ejpam-6110	420	2	-	-	ADJ
ejpam-6110	420	3	criteria	criterion	NOUN
ejpam-6110	420	4	decision	decision	NOUN
ejpam-6110	420	5	-	-	PUNCT
ejpam-6110	420	6	making	make	VERB
ejpam-6110	420	7	method	method	NOUN
ejpam-6110	420	8	under	under	ADP
ejpam-6110	420	9	the	the	DET
ejpam-6110	420	10	complex	complex	ADJ
ejpam-6110	420	11	intuitionistic	intuitionistic	ADJ
ejpam-6110	420	12	fuzzy	fuzzy	ADJ
ejpam-6110	420	13	environment	environment	NOUN
ejpam-6110	420	14	.	.	PUNCT
ejpam-6110	421	1	journal	journal	PROPN
ejpam-6110	421	2	of	of	ADP
ejpam-6110	421	3	mathematics	mathematics	PROPN
ejpam-6110	421	4	and	and	CCONJ
ejpam-6110	421	5	computer	computer	NOUN
ejpam-6110	421	6	science	science	NOUN
ejpam-6110	421	7	,	,	PUNCT
ejpam-6110	421	8	38(3):341–370	38(3):341–370	NUM
ejpam-6110	421	9	,	,	PUNCT
ejpam-6110	421	10	2025	2025	NUM
ejpam-6110	421	11	.	.	PUNCT
ejpam-6110	422	1	introduction	introduction	NOUN
ejpam-6110	422	2	motivation	motivation	NOUN
ejpam-6110	422	3	novelty	novelty	NOUN
ejpam-6110	422	4	preliminaries	preliminary	NOUN
ejpam-6110	422	5	exponential	exponential	ADJ
ejpam-6110	422	6	intuitionstic	intuitionstic	ADJ
ejpam-6110	422	7	fuzzy	fuzzy	ADJ
ejpam-6110	422	8	sets	set	NOUN
ejpam-6110	422	9	methodology	methodology	NOUN
ejpam-6110	422	10	for	for	ADP
ejpam-6110	422	11	decision	decision	NOUN
ejpam-6110	422	12	-	-	PUNCT
ejpam-6110	422	13	making	making	NOUN
ejpam-6110	422	14	using	use	VERB
ejpam-6110	422	15	exponential	exponential	ADJ
ejpam-6110	422	16	intuitionstic	intuitionstic	ADJ
ejpam-6110	422	17	fuzzy	fuzzy	ADJ
ejpam-6110	422	18	sets	set	NOUN
ejpam-6110	422	19	implementation	implementation	NOUN
ejpam-6110	422	20	of	of	ADP
ejpam-6110	422	21	the	the	DET
ejpam-6110	422	22	proposed	propose	VERB
ejpam-6110	422	23	methodology	methodology	NOUN
ejpam-6110	422	24	on	on	ADP
ejpam-6110	422	25	a	a	DET
ejpam-6110	422	26	decision	decision	NOUN
ejpam-6110	422	27	making	make	VERB
ejpam-6110	422	28	problem	problem	NOUN
ejpam-6110	422	29	comparative	comparative	ADJ
ejpam-6110	422	30	analysis	analysis	NOUN
ejpam-6110	422	31	conclusion	conclusion	NOUN