id	sid	tid	token	lemma	pos
ejpam-6232	1	1	european	european	PROPN
ejpam-6232	1	2	journal	journal	PROPN
ejpam-6232	1	3	of	of	ADP
ejpam-6232	1	4	pure	pure	ADJ
ejpam-6232	1	5	and	and	CCONJ
ejpam-6232	1	6	applied	applied	ADJ
ejpam-6232	1	7	mathematics	mathematic	NOUN
ejpam-6232	1	8	2025	2025	NUM
ejpam-6232	1	9	,	,	PUNCT
ejpam-6232	1	10	vol	vol	NOUN
ejpam-6232	1	11	.	.	PROPN
ejpam-6232	1	12	18	18	NUM
ejpam-6232	1	13	,	,	PUNCT
ejpam-6232	1	14	issue	issue	NOUN
ejpam-6232	1	15	3	3	NUM
ejpam-6232	1	16	,	,	PUNCT
ejpam-6232	1	17	article	article	NOUN
ejpam-6232	1	18	number	number	NOUN
ejpam-6232	1	19	6232	6232	NUM
ejpam-6232	1	20	issn	issn	VERB
ejpam-6232	1	21	1307	1307	NUM
ejpam-6232	1	22	-	-	SYM
ejpam-6232	1	23	5543	5543	NUM
ejpam-6232	1	24	–	–	PUNCT
ejpam-6232	1	25	ejpam.com	ejpam.com	X
ejpam-6232	1	26	published	publish	VERB
ejpam-6232	1	27	by	by	ADP
ejpam-6232	1	28	new	new	PROPN
ejpam-6232	1	29	york	york	PROPN
ejpam-6232	1	30	business	business	PROPN
ejpam-6232	1	31	global	global	PROPN
ejpam-6232	1	32	numerical	numerical	ADJ
ejpam-6232	1	33	solution	solution	NOUN
ejpam-6232	1	34	of	of	ADP
ejpam-6232	1	35	the	the	DET
ejpam-6232	1	36	intuitionistic	intuitionistic	ADJ
ejpam-6232	1	37	fuzzy	fuzzy	ADJ
ejpam-6232	1	38	complex	complex	ADJ
ejpam-6232	1	39	heat	heat	NOUN
ejpam-6232	1	40	equation	equation	NOUN
ejpam-6232	1	41	with	with	ADP
ejpam-6232	1	42	intuitionistic	intuitionistic	ADJ
ejpam-6232	1	43	complex	complex	ADJ
ejpam-6232	1	44	dirichlet	dirichlet	NOUN
ejpam-6232	1	45	boundary	boundary	ADJ
ejpam-6232	1	46	conditions	condition	NOUN
ejpam-6232	1	47	via	via	ADP
ejpam-6232	1	48	the	the	DET
ejpam-6232	1	49	explicit	explicit	ADJ
ejpam-6232	1	50	finite	finite	ADJ
ejpam-6232	1	51	difference	difference	NOUN
ejpam-6232	1	52	method	method	NOUN
ejpam-6232	1	53	abd	abd	PROPN
ejpam-6232	1	54	ulazeez	ulazeez	PROPN
ejpam-6232	1	55	alkouri1,∗	alkouri1,∗	PROPN
ejpam-6232	1	56	,	,	PUNCT
ejpam-6232	1	57	sadeq	sadeq	VERB
ejpam-6232	1	58	damrah2	damrah2	PROPN
ejpam-6232	1	59	,	,	PUNCT
ejpam-6232	1	60	hamzeh	hamzeh	PROPN
ejpam-6232	1	61	zureigat3	zureigat3	NOUN
ejpam-6232	1	62	,	,	PUNCT
ejpam-6232	1	63	osama	osama	PROPN
ejpam-6232	1	64	ogilat4	ogilat4	NOUN
ejpam-6232	1	65	,	,	PUNCT
ejpam-6232	1	66	eman	eman	NOUN
ejpam-6232	1	67	hussein5	hussein5	NOUN
ejpam-6232	1	68	1	1	NUM
ejpam-6232	1	69	department	department	NOUN
ejpam-6232	1	70	of	of	ADP
ejpam-6232	1	71	mathematics	mathematic	NOUN
ejpam-6232	1	72	,	,	PUNCT
ejpam-6232	1	73	science	science	NOUN
ejpam-6232	1	74	college	college	NOUN
ejpam-6232	1	75	,	,	PUNCT
ejpam-6232	1	76	ajloun	ajloun	ADJ
ejpam-6232	1	77	national	national	ADJ
ejpam-6232	1	78	university	university	PROPN
ejpam-6232	1	79	,	,	PUNCT
ejpam-6232	1	80	p.o.43	p.o.43	PROPN
ejpam-6232	1	81	,	,	PUNCT
ejpam-6232	1	82	ajloun-26810	ajloun-26810	NOUN
ejpam-6232	1	83	,	,	PUNCT
ejpam-6232	1	84	jordan	jordan	PROPN
ejpam-6232	1	85	2	2	NUM
ejpam-6232	1	86	department	department	NOUN
ejpam-6232	1	87	of	of	ADP
ejpam-6232	1	88	mathematics	mathematics	PROPN
ejpam-6232	1	89	and	and	CCONJ
ejpam-6232	1	90	physics	physics	PROPN
ejpam-6232	1	91	,	,	PUNCT
ejpam-6232	1	92	college	college	NOUN
ejpam-6232	1	93	of	of	ADP
ejpam-6232	1	94	engineering	engineering	NOUN
ejpam-6232	1	95	,	,	PUNCT
ejpam-6232	1	96	australian	australian	ADJ
ejpam-6232	1	97	university	university	NOUN
ejpam-6232	1	98	,	,	PUNCT
ejpam-6232	1	99	west	west	PROPN
ejpam-6232	1	100	mishref	mishref	PROPN
ejpam-6232	1	101	,	,	PUNCT
ejpam-6232	1	102	safat	safat	NOUN
ejpam-6232	1	103	13015	13015	NUM
ejpam-6232	1	104	,	,	PUNCT
ejpam-6232	1	105	kuwait	kuwait	PROPN
ejpam-6232	1	106	3	3	NUM
ejpam-6232	1	107	department	department	NOUN
ejpam-6232	1	108	of	of	ADP
ejpam-6232	1	109	mathematics	mathematic	NOUN
ejpam-6232	1	110	,	,	PUNCT
ejpam-6232	1	111	faculty	faculty	NOUN
ejpam-6232	1	112	of	of	ADP
ejpam-6232	1	113	science	science	NOUN
ejpam-6232	1	114	,	,	PUNCT
ejpam-6232	1	115	jadara	jadara	PROPN
ejpam-6232	1	116	university	university	PROPN
ejpam-6232	1	117	,	,	PUNCT
ejpam-6232	1	118	irbid	irbid	PROPN
ejpam-6232	1	119	,	,	PUNCT
ejpam-6232	1	120	jordan	jordan	PROPN
ejpam-6232	1	121	4	4	NUM
ejpam-6232	1	122	department	department	PROPN
ejpam-6232	1	123	of	of	ADP
ejpam-6232	1	124	basic	basic	ADJ
ejpam-6232	1	125	sciences	science	NOUN
ejpam-6232	1	126	,	,	PUNCT
ejpam-6232	1	127	faculty	faculty	NOUN
ejpam-6232	1	128	of	of	ADP
ejpam-6232	1	129	arts	art	NOUN
ejpam-6232	1	130	and	and	CCONJ
ejpam-6232	1	131	science	science	NOUN
ejpam-6232	1	132	,	,	PUNCT
ejpam-6232	1	133	al	al	PROPN
ejpam-6232	1	134	-	-	PUNCT
ejpam-6232	1	135	ahliyya	ahliyya	PROPN
ejpam-6232	1	136	amman	amman	PROPN
ejpam-6232	1	137	university	university	PROPN
ejpam-6232	1	138	,	,	PUNCT
ejpam-6232	1	139	amman	amman	NOUN
ejpam-6232	1	140	19328	19328	NUM
ejpam-6232	1	141	,	,	PUNCT
ejpam-6232	1	142	jordan	jordan	PROPN
ejpam-6232	1	143	5	5	NUM
ejpam-6232	1	144	department	department	NOUN
ejpam-6232	1	145	of	of	ADP
ejpam-6232	1	146	mathematics	mathematic	NOUN
ejpam-6232	1	147	,	,	PUNCT
ejpam-6232	1	148	faculty	faculty	NOUN
ejpam-6232	1	149	of	of	ADP
ejpam-6232	1	150	arts	art	NOUN
ejpam-6232	1	151	and	and	CCONJ
ejpam-6232	1	152	science	science	NOUN
ejpam-6232	1	153	,	,	PUNCT
ejpam-6232	1	154	amman	amman	PROPN
ejpam-6232	1	155	arab	arab	PROPN
ejpam-6232	1	156	university	university	PROPN
ejpam-6232	1	157	,	,	PUNCT
ejpam-6232	1	158	amman	amman	PROPN
ejpam-6232	1	159	,	,	PUNCT
ejpam-6232	1	160	jordan	jordan	PROPN
ejpam-6232	1	161	abstract	abstract	PROPN
ejpam-6232	1	162	.	.	PUNCT
ejpam-6232	2	1	recent	recent	ADJ
ejpam-6232	2	2	developments	development	NOUN
ejpam-6232	2	3	in	in	ADP
ejpam-6232	2	4	complex	complex	ADJ
ejpam-6232	2	5	fuzzy	fuzzy	ADJ
ejpam-6232	2	6	(	(	PUNCT
ejpam-6232	2	7	cf	cf	NOUN
ejpam-6232	2	8	)	)	PUNCT
ejpam-6232	2	9	sets	set	NOUN
ejpam-6232	2	10	have	have	AUX
ejpam-6232	2	11	extended	extend	VERB
ejpam-6232	2	12	the	the	DET
ejpam-6232	2	13	classical	classical	ADJ
ejpam-6232	2	14	fuzzy	fuzzy	ADJ
ejpam-6232	2	15	framework	framework	NOUN
ejpam-6232	2	16	from	from	ADP
ejpam-6232	2	17	the	the	DET
ejpam-6232	2	18	unit	unit	NOUN
ejpam-6232	2	19	interval	interval	NOUN
ejpam-6232	2	20	[	[	X
ejpam-6232	2	21	0,1	0,1	X
ejpam-6232	2	22	]	]	PUNCT
ejpam-6232	2	23	to	to	ADP
ejpam-6232	2	24	the	the	DET
ejpam-6232	2	25	unit	unit	NOUN
ejpam-6232	2	26	disk	disk	NOUN
ejpam-6232	2	27	in	in	ADP
ejpam-6232	2	28	the	the	DET
ejpam-6232	2	29	complex	complex	ADJ
ejpam-6232	2	30	plane	plane	NOUN
ejpam-6232	2	31	c	c	NOUN
ejpam-6232	2	32	,	,	PUNCT
ejpam-6232	2	33	allowing	allow	VERB
ejpam-6232	2	34	for	for	ADP
ejpam-6232	2	35	the	the	DET
ejpam-6232	2	36	modeling	modeling	NOUN
ejpam-6232	2	37	of	of	ADP
ejpam-6232	2	38	uncertainties	uncertainty	NOUN
ejpam-6232	2	39	in	in	ADP
ejpam-6232	2	40	both	both	DET
ejpam-6232	2	41	magnitude	magnitude	NOUN
ejpam-6232	2	42	and	and	CCONJ
ejpam-6232	2	43	phase	phase	NOUN
ejpam-6232	2	44	.	.	PUNCT
ejpam-6232	3	1	building	build	VERB
ejpam-6232	3	2	upon	upon	SCONJ
ejpam-6232	3	3	this	this	DET
ejpam-6232	3	4	foundation	foundation	NOUN
ejpam-6232	3	5	,	,	PUNCT
ejpam-6232	3	6	this	this	DET
ejpam-6232	3	7	study	study	NOUN
ejpam-6232	3	8	introduces	introduce	NOUN
ejpam-6232	3	9	-	-	PUNCT
ejpam-6232	3	10	for	for	ADP
ejpam-6232	3	11	the	the	DET
ejpam-6232	3	12	first	first	ADJ
ejpam-6232	3	13	time	time	NOUN
ejpam-6232	3	14	-	-	PUNCT
ejpam-6232	3	15	the	the	DET
ejpam-6232	3	16	use	use	NOUN
ejpam-6232	3	17	of	of	ADP
ejpam-6232	3	18	complex	complex	ADJ
ejpam-6232	3	19	intuitionistic	intuitionistic	ADJ
ejpam-6232	3	20	fuzzy	fuzzy	ADJ
ejpam-6232	3	21	(	(	PUNCT
ejpam-6232	3	22	cif	cif	PROPN
ejpam-6232	3	23	)	)	PUNCT
ejpam-6232	3	24	numbers	number	NOUN
ejpam-6232	3	25	to	to	PART
ejpam-6232	3	26	solve	solve	VERB
ejpam-6232	3	27	partial	partial	ADJ
ejpam-6232	3	28	differential	differential	NOUN
ejpam-6232	3	29	equations	equation	NOUN
ejpam-6232	3	30	,	,	PUNCT
ejpam-6232	3	31	specifically	specifically	ADV
ejpam-6232	3	32	focusing	focus	VERB
ejpam-6232	3	33	on	on	ADP
ejpam-6232	3	34	the	the	DET
ejpam-6232	3	35	cif	cif	PROPN
ejpam-6232	3	36	heat	heat	NOUN
ejpam-6232	3	37	equation	equation	NOUN
ejpam-6232	3	38	.	.	PUNCT
ejpam-6232	4	1	the	the	DET
ejpam-6232	4	2	cif	cif	PROPN
ejpam-6232	4	3	framework	framework	NOUN
ejpam-6232	4	4	integrates	integrate	VERB
ejpam-6232	4	5	both	both	CCONJ
ejpam-6232	4	6	membership	membership	NOUN
ejpam-6232	4	7	and	and	CCONJ
ejpam-6232	4	8	non	non	ADJ
ejpam-6232	4	9	-	-	ADJ
ejpam-6232	4	10	membership	membership	ADJ
ejpam-6232	4	11	functions	function	NOUN
ejpam-6232	4	12	with	with	ADP
ejpam-6232	4	13	a	a	DET
ejpam-6232	4	14	complex	complex	ADV
ejpam-6232	4	15	-	-	PUNCT
ejpam-6232	4	16	valued	value	VERB
ejpam-6232	4	17	representation	representation	NOUN
ejpam-6232	4	18	,	,	PUNCT
ejpam-6232	4	19	enabling	enable	VERB
ejpam-6232	4	20	a	a	DET
ejpam-6232	4	21	more	more	ADV
ejpam-6232	4	22	expressive	expressive	ADJ
ejpam-6232	4	23	treatment	treatment	NOUN
ejpam-6232	4	24	of	of	ADP
ejpam-6232	4	25	uncertainty	uncertainty	NOUN
ejpam-6232	4	26	,	,	PUNCT
ejpam-6232	4	27	including	include	VERB
ejpam-6232	4	28	hesitation	hesitation	NOUN
ejpam-6232	4	29	.	.	PUNCT
ejpam-6232	5	1	an	an	DET
ejpam-6232	5	2	explicit	explicit	ADJ
ejpam-6232	5	3	finite	finite	ADJ
ejpam-6232	5	4	difference	difference	NOUN
ejpam-6232	5	5	method	method	NOUN
ejpam-6232	5	6	,	,	PUNCT
ejpam-6232	5	7	namely	namely	ADV
ejpam-6232	5	8	the	the	DET
ejpam-6232	5	9	forward	forward	ADJ
ejpam-6232	5	10	time	time	NOUN
ejpam-6232	5	11	central	central	ADJ
ejpam-6232	5	12	space	space	NOUN
ejpam-6232	5	13	(	(	PUNCT
ejpam-6232	5	14	ftcs	ftcs	NOUN
ejpam-6232	5	15	)	)	PUNCT
ejpam-6232	5	16	scheme	scheme	NOUN
ejpam-6232	5	17	,	,	PUNCT
ejpam-6232	5	18	is	be	AUX
ejpam-6232	5	19	employed	employ	VERB
ejpam-6232	5	20	to	to	PART
ejpam-6232	5	21	discretize	discretize	VERB
ejpam-6232	5	22	and	and	CCONJ
ejpam-6232	5	23	solve	solve	VERB
ejpam-6232	5	24	the	the	DET
ejpam-6232	5	25	cif	cif	PROPN
ejpam-6232	5	26	heat	heat	NOUN
ejpam-6232	5	27	equation	equation	NOUN
ejpam-6232	5	28	.	.	PUNCT
ejpam-6232	6	1	the	the	DET
ejpam-6232	6	2	model	model	NOUN
ejpam-6232	6	3	considers	consider	VERB
ejpam-6232	6	4	fuzziness	fuzziness	NOUN
ejpam-6232	6	5	in	in	ADP
ejpam-6232	6	6	the	the	DET
ejpam-6232	6	7	initial	initial	ADJ
ejpam-6232	6	8	and	and	CCONJ
ejpam-6232	6	9	boundary	boundary	ADJ
ejpam-6232	6	10	conditions	condition	NOUN
ejpam-6232	6	11	,	,	PUNCT
ejpam-6232	6	12	where	where	SCONJ
ejpam-6232	6	13	uncertainty	uncertainty	NOUN
ejpam-6232	6	14	impacts	impact	VERB
ejpam-6232	6	15	amplitude	amplitude	NOUN
ejpam-6232	6	16	and	and	CCONJ
ejpam-6232	6	17	phase	phase	NOUN
ejpam-6232	6	18	terms	term	NOUN
ejpam-6232	6	19	.	.	PUNCT
ejpam-6232	7	1	to	to	PART
ejpam-6232	7	2	represent	represent	VERB
ejpam-6232	7	3	this	this	DET
ejpam-6232	7	4	uncertainty	uncertainty	NOUN
ejpam-6232	7	5	,	,	PUNCT
ejpam-6232	7	6	triangular	triangular	ADJ
ejpam-6232	7	7	fuzzy	fuzzy	ADJ
ejpam-6232	7	8	numbers	number	NOUN
ejpam-6232	7	9	are	be	AUX
ejpam-6232	7	10	used	use	VERB
ejpam-6232	7	11	for	for	ADP
ejpam-6232	7	12	the	the	DET
ejpam-6232	7	13	real	real	ADJ
ejpam-6232	7	14	and	and	CCONJ
ejpam-6232	7	15	imaginary	imaginary	ADJ
ejpam-6232	7	16	parts	part	NOUN
ejpam-6232	7	17	within	within	ADP
ejpam-6232	7	18	the	the	DET
ejpam-6232	7	19	complex	complex	ADJ
ejpam-6232	7	20	unit	unit	NOUN
ejpam-6232	7	21	disk	disk	NOUN
ejpam-6232	7	22	.	.	PUNCT
ejpam-6232	8	1	the	the	DET
ejpam-6232	8	2	proposed	propose	VERB
ejpam-6232	8	3	approach	approach	NOUN
ejpam-6232	8	4	demonstrates	demonstrate	VERB
ejpam-6232	8	5	numerical	numerical	ADJ
ejpam-6232	8	6	stability	stability	NOUN
ejpam-6232	8	7	and	and	CCONJ
ejpam-6232	8	8	achieves	achieve	VERB
ejpam-6232	8	9	second	second	ADJ
ejpam-6232	8	10	-	-	PUNCT
ejpam-6232	8	11	order	order	NOUN
ejpam-6232	8	12	spatial	spatial	ADJ
ejpam-6232	8	13	and	and	CCONJ
ejpam-6232	8	14	firstorder	firstorder	VERB
ejpam-6232	8	15	temporal	temporal	ADJ
ejpam-6232	8	16	accuracy	accuracy	NOUN
ejpam-6232	8	17	,	,	PUNCT
ejpam-6232	8	18	validating	validate	VERB
ejpam-6232	8	19	its	its	PRON
ejpam-6232	8	20	reliability	reliability	NOUN
ejpam-6232	8	21	and	and	CCONJ
ejpam-6232	8	22	effectiveness	effectiveness	NOUN
ejpam-6232	8	23	.	.	PUNCT
ejpam-6232	9	1	a	a	DET
ejpam-6232	9	2	numerical	numerical	ADJ
ejpam-6232	9	3	example	example	NOUN
ejpam-6232	9	4	confirms	confirm	VERB
ejpam-6232	9	5	the	the	DET
ejpam-6232	9	6	feasibility	feasibility	NOUN
ejpam-6232	9	7	of	of	ADP
ejpam-6232	9	8	the	the	DET
ejpam-6232	9	9	method	method	NOUN
ejpam-6232	9	10	,	,	PUNCT
ejpam-6232	9	11	showing	show	VERB
ejpam-6232	9	12	strong	strong	ADJ
ejpam-6232	9	13	alignment	alignment	NOUN
ejpam-6232	9	14	with	with	ADP
ejpam-6232	9	15	theoretical	theoretical	ADJ
ejpam-6232	9	16	predictions	prediction	NOUN
ejpam-6232	9	17	.	.	PUNCT
ejpam-6232	10	1	this	this	DET
ejpam-6232	10	2	work	work	NOUN
ejpam-6232	10	3	generalizes	generalize	VERB
ejpam-6232	10	4	existing	exist	VERB
ejpam-6232	10	5	cf	cf	NOUN
ejpam-6232	10	6	heat	heat	NOUN
ejpam-6232	10	7	equation	equation	NOUN
ejpam-6232	10	8	models	model	NOUN
ejpam-6232	10	9	and	and	CCONJ
ejpam-6232	10	10	provides	provide	VERB
ejpam-6232	10	11	a	a	DET
ejpam-6232	10	12	foundation	foundation	NOUN
ejpam-6232	10	13	for	for	ADP
ejpam-6232	10	14	solving	solve	VERB
ejpam-6232	10	15	more	more	ADJ
ejpam-6232	10	16	complex	complex	ADJ
ejpam-6232	10	17	systems	system	NOUN
ejpam-6232	10	18	involving	involve	VERB
ejpam-6232	10	19	higher	high	ADJ
ejpam-6232	10	20	-	-	PUNCT
ejpam-6232	10	21	order	order	NOUN
ejpam-6232	10	22	and	and	CCONJ
ejpam-6232	10	23	bipolar	bipolar	ADJ
ejpam-6232	10	24	uncertainties	uncertainty	NOUN
ejpam-6232	10	25	in	in	ADP
ejpam-6232	10	26	future	future	ADJ
ejpam-6232	10	27	studies	study	NOUN
ejpam-6232	10	28	.	.	PUNCT
ejpam-6232	11	1	2020	2020	NUM
ejpam-6232	11	2	mathematics	mathematic	NOUN
ejpam-6232	11	3	subject	subject	NOUN
ejpam-6232	11	4	classifications	classification	NOUN
ejpam-6232	11	5	:	:	PUNCT
ejpam-6232	11	6	34a07	34a07	NUM
ejpam-6232	11	7	,	,	PUNCT
ejpam-6232	11	8	35r13	35r13	NUM
ejpam-6232	11	9	,	,	PUNCT
ejpam-6232	11	10	03e72	03e72	X
ejpam-6232	11	11	∗corresponding	∗corresponde	VERB
ejpam-6232	11	12	author	author	NOUN
ejpam-6232	11	13	.	.	PUNCT
ejpam-6232	12	1	doi	doi	NOUN
ejpam-6232	12	2	:	:	PUNCT
ejpam-6232	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6232	https://doi.org/10.29020/nybg.ejpam.v18i3.6232	ADP
ejpam-6232	12	4	email	email	NOUN
ejpam-6232	12	5	addresses	address	NOUN
ejpam-6232	12	6	:	:	PUNCT
ejpam-6232	12	7	alkouriabdulazeez@anu.edu.jo	alkouriabdulazeez@anu.edu.jo	ADJ
ejpam-6232	12	8	(	(	PUNCT
ejpam-6232	12	9	a.	a.	NOUN
ejpam-6232	12	10	u.	u.	PROPN
ejpam-6232	12	11	alkouri	alkouri	PROPN
ejpam-6232	12	12	)	)	PUNCT
ejpam-6232	12	13	,	,	PUNCT
ejpam-6232	12	14	s.damrah@au.edu.kw	s.damrah@au.edu.kw	PROPN
ejpam-6232	12	15	(	(	PUNCT
ejpam-6232	12	16	s.	s.	PROPN
ejpam-6232	12	17	damrah	damrah	PROPN
ejpam-6232	12	18	)	)	PUNCT
ejpam-6232	12	19	,	,	PUNCT
ejpam-6232	12	20	hamzeh.zu@jadara.edu.jo	hamzeh.zu@jadara.edu.jo	ADV
ejpam-6232	12	21	(	(	PUNCT
ejpam-6232	12	22	h.	h.	PROPN
ejpam-6232	12	23	zureigat	zureigat	PROPN
ejpam-6232	12	24	)	)	PUNCT
ejpam-6232	12	25	,	,	PUNCT
ejpam-6232	12	26	o.oqilat@ammanu.edu.jo	o.oqilat@ammanu.edu.jo	NOUN
ejpam-6232	12	27	(	(	PUNCT
ejpam-6232	12	28	o.ogilat	o.ogilat	NOUN
ejpam-6232	12	29	)	)	PUNCT
ejpam-6232	12	30	,	,	PUNCT
ejpam-6232	12	31	e.hussein@aau.edu.jo	e.hussein@aau.edu.jo	PROPN
ejpam-6232	12	32	(	(	PUNCT
ejpam-6232	12	33	e.	e.	PROPN
ejpam-6232	12	34	hussein	hussein	PROPN
ejpam-6232	12	35	)	)	PUNCT
ejpam-6232	12	36	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6232	12	37	1	1	NUM
ejpam-6232	12	38	copyright	copyright	NOUN
ejpam-6232	12	39	:	:	PUNCT
ejpam-6232	13	1	©	©	PROPN
ejpam-6232	13	2	2025	2025	NUM
ejpam-6232	13	3	the	the	DET
ejpam-6232	13	4	author(s	author(s	NOUN
ejpam-6232	13	5	)	)	PUNCT
ejpam-6232	13	6	.	.	PUNCT
ejpam-6232	14	1	(	(	PUNCT
ejpam-6232	14	2	cc	cc	NOUN
ejpam-6232	14	3	by	by	ADP
ejpam-6232	14	4	-	-	PUNCT
ejpam-6232	14	5	nc	nc	PROPN
ejpam-6232	14	6	4.0	4.0	NUM
ejpam-6232	14	7	)	)	PUNCT
ejpam-6232	14	8	a.	a.	NOUN
ejpam-6232	14	9	u.	u.	PROPN
ejpam-6232	14	10	alkouri	alkouri	PROPN
ejpam-6232	14	11	et	et	PROPN
ejpam-6232	14	12	al	al	PROPN
ejpam-6232	14	13	.	.	PUNCT
ejpam-6232	14	14	/	/	SYM
ejpam-6232	14	15	eur	eur	PROPN
ejpam-6232	14	16	.	.	PUNCT
ejpam-6232	15	1	j.	j.	PROPN
ejpam-6232	15	2	pure	pure	PROPN
ejpam-6232	15	3	appl	appl	PROPN
ejpam-6232	15	4	.	.	PROPN
ejpam-6232	15	5	math	math	PROPN
ejpam-6232	15	6	,	,	PUNCT
ejpam-6232	15	7	18	18	NUM
ejpam-6232	15	8	(	(	PUNCT
ejpam-6232	15	9	3	3	NUM
ejpam-6232	15	10	)	)	PUNCT
ejpam-6232	15	11	(	(	PUNCT
ejpam-6232	15	12	2025	2025	NUM
ejpam-6232	15	13	)	)	PUNCT
ejpam-6232	15	14	,	,	PUNCT
ejpam-6232	15	15	6232	6232	NUM
ejpam-6232	15	16	2	2	NUM
ejpam-6232	15	17	of	of	ADP
ejpam-6232	15	18	15	15	NUM
ejpam-6232	15	19	key	key	ADJ
ejpam-6232	15	20	words	word	NOUN
ejpam-6232	15	21	and	and	CCONJ
ejpam-6232	15	22	phrases	phrase	NOUN
ejpam-6232	15	23	:	:	PUNCT
ejpam-6232	15	24	finite	finite	ADJ
ejpam-6232	15	25	difference	difference	NOUN
ejpam-6232	15	26	methods	method	NOUN
ejpam-6232	15	27	,	,	PUNCT
ejpam-6232	15	28	complex	complex	ADJ
ejpam-6232	15	29	,	,	PUNCT
ejpam-6232	15	30	fuzzy	fuzzy	ADJ
ejpam-6232	15	31	numbers	number	NOUN
ejpam-6232	15	32	,	,	PUNCT
ejpam-6232	15	33	intuitionistic	intuitionistic	ADJ
ejpam-6232	15	34	fuzzy	fuzzy	ADJ
ejpam-6232	15	35	sets	set	NOUN
ejpam-6232	15	36	,	,	PUNCT
ejpam-6232	15	37	complex	complex	ADJ
ejpam-6232	15	38	fuzzy	fuzzy	ADJ
ejpam-6232	15	39	numbers	number	NOUN
ejpam-6232	15	40	,	,	PUNCT
ejpam-6232	15	41	fuzzy	fuzzy	ADJ
ejpam-6232	15	42	heat	heat	NOUN
ejpam-6232	15	43	equations	equation	NOUN
ejpam-6232	15	44	1	1	NUM
ejpam-6232	15	45	.	.	PUNCT
ejpam-6232	16	1	introduction	introduction	NOUN
ejpam-6232	16	2	zadeh	zadeh	PROPN
ejpam-6232	16	3	founded	found	VERB
ejpam-6232	16	4	the	the	DET
ejpam-6232	16	5	notion	notion	NOUN
ejpam-6232	16	6	of	of	ADP
ejpam-6232	16	7	fuzzy	fuzzy	ADJ
ejpam-6232	16	8	sets	set	NOUN
ejpam-6232	16	9	in	in	ADP
ejpam-6232	16	10	1965	1965	NUM
ejpam-6232	16	11	,	,	PUNCT
ejpam-6232	16	12	and	and	CCONJ
ejpam-6232	16	13	since	since	SCONJ
ejpam-6232	16	14	then	then	ADV
ejpam-6232	16	15	,	,	PUNCT
ejpam-6232	16	16	numerous	numerous	ADJ
ejpam-6232	16	17	mathematicians	mathematician	NOUN
ejpam-6232	16	18	have	have	AUX
ejpam-6232	16	19	written	write	VERB
ejpam-6232	16	20	articles	article	NOUN
ejpam-6232	16	21	extending	extend	VERB
ejpam-6232	16	22	classical	classical	ADJ
ejpam-6232	16	23	mathematical	mathematical	ADJ
ejpam-6232	16	24	theories	theory	NOUN
ejpam-6232	16	25	to	to	ADP
ejpam-6232	16	26	fuzzy	fuzzy	ADJ
ejpam-6232	16	27	mathematics	mathematic	NOUN
ejpam-6232	16	28	.	.	PUNCT
ejpam-6232	17	1	subsequently	subsequently	ADV
ejpam-6232	17	2	,	,	PUNCT
ejpam-6232	17	3	atanassov	atanassov	PROPN
ejpam-6232	17	4	developed	develop	VERB
ejpam-6232	17	5	and	and	CCONJ
ejpam-6232	17	6	published	publish	VERB
ejpam-6232	17	7	the	the	DET
ejpam-6232	17	8	notion	notion	NOUN
ejpam-6232	17	9	of	of	ADP
ejpam-6232	17	10	intuitionistic	intuitionistic	ADJ
ejpam-6232	17	11	fuzzy	fuzzy	ADJ
ejpam-6232	17	12	sets	set	NOUN
ejpam-6232	17	13	in	in	ADP
ejpam-6232	17	14	1986	1986	NUM
ejpam-6232	17	15	.	.	PUNCT
ejpam-6232	18	1	atanassov	atanassov	PROPN
ejpam-6232	18	2	extended	extend	VERB
ejpam-6232	18	3	the	the	DET
ejpam-6232	18	4	notion	notion	NOUN
ejpam-6232	18	5	of	of	ADP
ejpam-6232	18	6	a	a	DET
ejpam-6232	18	7	fuzzy	fuzzy	ADJ
ejpam-6232	18	8	set	set	NOUN
ejpam-6232	18	9	to	to	PART
ejpam-6232	18	10	include	include	VERB
ejpam-6232	18	11	a	a	DET
ejpam-6232	18	12	second	second	ADJ
ejpam-6232	18	13	degree	degree	NOUN
ejpam-6232	18	14	,	,	PUNCT
ejpam-6232	18	15	namely	namely	ADV
ejpam-6232	18	16	degree	degree	NOUN
ejpam-6232	18	17	of	of	ADP
ejpam-6232	18	18	non	non	ADJ
ejpam-6232	18	19	-	-	NOUN
ejpam-6232	18	20	membership	membership	NOUN
ejpam-6232	18	21	,	,	PUNCT
ejpam-6232	18	22	and	and	CCONJ
ejpam-6232	18	23	investigated	investigate	VERB
ejpam-6232	18	24	the	the	DET
ejpam-6232	18	25	characteristics	characteristic	NOUN
ejpam-6232	18	26	of	of	ADP
ejpam-6232	18	27	sets	set	NOUN
ejpam-6232	18	28	with	with	ADP
ejpam-6232	18	29	both	both	DET
ejpam-6232	18	30	degrees	degree	NOUN
ejpam-6232	18	31	.	.	PUNCT
ejpam-6232	19	1	several	several	ADJ
ejpam-6232	19	2	applications	application	NOUN
ejpam-6232	19	3	of	of	ADP
ejpam-6232	19	4	interest	interest	NOUN
ejpam-6232	19	5	[	[	X
ejpam-6232	19	6	1],[2	1],[2	NOUN
ejpam-6232	19	7	]	]	PUNCT
ejpam-6232	19	8	,	,	PUNCT
ejpam-6232	19	9	[	[	X
ejpam-6232	19	10	3	3	NUM
ejpam-6232	19	11	]	]	PUNCT
ejpam-6232	19	12	,	,	PUNCT
ejpam-6232	19	13	[	[	X
ejpam-6232	19	14	4	4	NUM
ejpam-6232	19	15	]	]	PUNCT
ejpam-6232	19	16	,	,	PUNCT
ejpam-6232	19	17	[	[	X
ejpam-6232	19	18	5	5	NUM
ejpam-6232	19	19	]	]	PUNCT
ejpam-6232	19	20	in	in	ADP
ejpam-6232	19	21	the	the	DET
ejpam-6232	19	22	field	field	NOUN
ejpam-6232	19	23	of	of	ADP
ejpam-6232	19	24	numerical	numerical	ADJ
ejpam-6232	19	25	solutions	solution	NOUN
ejpam-6232	19	26	have	have	AUX
ejpam-6232	19	27	involved	involve	VERB
ejpam-6232	19	28	in	in	ADP
ejpam-6232	19	29	both	both	CCONJ
ejpam-6232	19	30	fuzzy	fuzzy	ADJ
ejpam-6232	19	31	and	and	CCONJ
ejpam-6232	19	32	intuitionistic	intuitionistic	ADJ
ejpam-6232	19	33	fuzzy	fuzzy	ADJ
ejpam-6232	19	34	sets	set	NOUN
ejpam-6232	19	35	.	.	PUNCT
ejpam-6232	20	1	recently	recently	ADV
ejpam-6232	20	2	,	,	PUNCT
ejpam-6232	20	3	several	several	ADJ
ejpam-6232	20	4	fields	field	NOUN
ejpam-6232	20	5	—	—	PUNCT
ejpam-6232	20	6	such	such	ADJ
ejpam-6232	20	7	as	as	ADP
ejpam-6232	20	8	environmental	environmental	ADJ
ejpam-6232	20	9	science	science	NOUN
ejpam-6232	20	10	,	,	PUNCT
ejpam-6232	20	11	fixed	fix	VERB
ejpam-6232	20	12	point	point	NOUN
ejpam-6232	20	13	theory	theory	NOUN
ejpam-6232	20	14	,	,	PUNCT
ejpam-6232	20	15	and	and	CCONJ
ejpam-6232	20	16	algebra	algebra	NOUN
ejpam-6232	20	17	—	—	PUNCT
ejpam-6232	20	18	have	have	AUX
ejpam-6232	20	19	seen	see	VERB
ejpam-6232	20	20	successful	successful	ADJ
ejpam-6232	20	21	applications	application	NOUN
ejpam-6232	20	22	of	of	ADP
ejpam-6232	20	23	fuzzy	fuzzy	ADJ
ejpam-6232	20	24	set	set	NOUN
ejpam-6232	20	25	theory	theory	NOUN
ejpam-6232	20	26	and	and	CCONJ
ejpam-6232	20	27	its	its	PRON
ejpam-6232	20	28	generalizations	generalization	NOUN
ejpam-6232	20	29	,	,	PUNCT
ejpam-6232	20	30	including	include	VERB
ejpam-6232	20	31	cf	cf	NOUN
ejpam-6232	20	32	sets	set	NOUN
ejpam-6232	20	33	[	[	X
ejpam-6232	20	34	6	6	NUM
ejpam-6232	20	35	]	]	PUNCT
ejpam-6232	20	36	,	,	PUNCT
ejpam-6232	20	37	[	[	X
ejpam-6232	20	38	7	7	NUM
ejpam-6232	20	39	]	]	PUNCT
ejpam-6232	20	40	,	,	PUNCT
ejpam-6232	20	41	[	[	X
ejpam-6232	20	42	8	8	NUM
ejpam-6232	20	43	]	]	PUNCT
ejpam-6232	20	44	,	,	PUNCT
ejpam-6232	20	45	[	[	X
ejpam-6232	20	46	9	9	NUM
ejpam-6232	20	47	]	]	PUNCT
ejpam-6232	20	48	,	,	PUNCT
ejpam-6232	20	49	[	[	X
ejpam-6232	20	50	10	10	NUM
ejpam-6232	20	51	]	]	PUNCT
ejpam-6232	20	52	,	,	PUNCT
ejpam-6232	20	53	[	[	X
ejpam-6232	20	54	11	11	NUM
ejpam-6232	20	55	]	]	PUNCT
ejpam-6232	20	56	,	,	PUNCT
ejpam-6232	20	57	[	[	X
ejpam-6232	20	58	12	12	NUM
ejpam-6232	20	59	]	]	PUNCT
ejpam-6232	20	60	,	,	PUNCT
ejpam-6232	20	61	[	[	X
ejpam-6232	20	62	13	13	NUM
ejpam-6232	20	63	]	]	PUNCT
ejpam-6232	20	64	,	,	PUNCT
ejpam-6232	20	65	[	[	X
ejpam-6232	20	66	14	14	NUM
ejpam-6232	20	67	]	]	PUNCT
ejpam-6232	20	68	,	,	PUNCT
ejpam-6232	20	69	[	[	X
ejpam-6232	20	70	15	15	NUM
ejpam-6232	20	71	]	]	PUNCT
ejpam-6232	20	72	.	.	PUNCT
ejpam-6232	21	1	recent	recent	ADJ
ejpam-6232	21	2	advancements	advancement	NOUN
ejpam-6232	21	3	in	in	ADP
ejpam-6232	21	4	fuzzy	fuzzy	ADJ
ejpam-6232	21	5	and	and	CCONJ
ejpam-6232	21	6	intuitionistic	intuitionistic	ADJ
ejpam-6232	21	7	fuzzy	fuzzy	ADJ
ejpam-6232	21	8	partial	partial	ADJ
ejpam-6232	21	9	differential	differential	NOUN
ejpam-6232	21	10	equations	equation	NOUN
ejpam-6232	21	11	(	(	PUNCT
ejpam-6232	21	12	fpdes	fpde	NOUN
ejpam-6232	21	13	,	,	PUNCT
ejpam-6232	21	14	ifpdes	ifpde	NOUN
ejpam-6232	21	15	)	)	PUNCT
ejpam-6232	21	16	enhance	enhance	VERB
ejpam-6232	21	17	their	their	PRON
ejpam-6232	21	18	applicability	applicability	NOUN
ejpam-6232	21	19	in	in	ADP
ejpam-6232	21	20	solving	solve	VERB
ejpam-6232	21	21	complex	complex	ADJ
ejpam-6232	21	22	heat	heat	NOUN
ejpam-6232	21	23	equations	equation	NOUN
ejpam-6232	21	24	under	under	ADP
ejpam-6232	21	25	uncertainty	uncertainty	NOUN
ejpam-6232	21	26	.	.	PUNCT
ejpam-6232	22	1	arshad	arshad	PROPN
ejpam-6232	22	2	et	et	PROPN
ejpam-6232	22	3	al	al	PROPN
ejpam-6232	22	4	.	.	PUNCT
ejpam-6232	23	1	[	[	X
ejpam-6232	23	2	16	16	NUM
ejpam-6232	23	3	]	]	PUNCT
ejpam-6232	23	4	proposed	propose	VERB
ejpam-6232	23	5	the	the	DET
ejpam-6232	23	6	laplace	laplace	NOUN
ejpam-6232	23	7	-	-	PUNCT
ejpam-6232	23	8	residual	residual	ADJ
ejpam-6232	23	9	power	power	NOUN
ejpam-6232	23	10	series	series	NOUN
ejpam-6232	23	11	method	method	NOUN
ejpam-6232	23	12	(	(	PUNCT
ejpam-6232	23	13	lrpsm	lrpsm	PROPN
ejpam-6232	23	14	)	)	PUNCT
ejpam-6232	23	15	to	to	PART
ejpam-6232	23	16	derive	derive	VERB
ejpam-6232	23	17	fast	fast	ADV
ejpam-6232	23	18	-	-	PUNCT
ejpam-6232	23	19	converging	converge	VERB
ejpam-6232	23	20	analytical	analytical	ADJ
ejpam-6232	23	21	solutions	solution	NOUN
ejpam-6232	23	22	for	for	ADP
ejpam-6232	23	23	fpdes	fpde	NOUN
ejpam-6232	23	24	,	,	PUNCT
ejpam-6232	23	25	demonstrating	demonstrate	VERB
ejpam-6232	23	26	its	its	PRON
ejpam-6232	23	27	effectiveness	effectiveness	NOUN
ejpam-6232	23	28	in	in	ADP
ejpam-6232	23	29	handling	handle	VERB
ejpam-6232	23	30	boundary	boundary	ADJ
ejpam-6232	23	31	conditions	condition	NOUN
ejpam-6232	23	32	using	use	VERB
ejpam-6232	23	33	laurent	laurent	NOUN
ejpam-6232	23	34	series	series	NOUN
ejpam-6232	23	35	and	and	CCONJ
ejpam-6232	23	36	fractional	fractional	ADJ
ejpam-6232	23	37	calculus	calculus	NOUN
ejpam-6232	23	38	techniques	technique	NOUN
ejpam-6232	23	39	.	.	PUNCT
ejpam-6232	24	1	this	this	DET
ejpam-6232	24	2	approach	approach	NOUN
ejpam-6232	24	3	aligns	align	VERB
ejpam-6232	24	4	with	with	ADP
ejpam-6232	24	5	the	the	DET
ejpam-6232	24	6	need	need	NOUN
ejpam-6232	24	7	for	for	ADP
ejpam-6232	24	8	precise	precise	ADJ
ejpam-6232	24	9	numerical	numerical	ADJ
ejpam-6232	24	10	solutions	solution	NOUN
ejpam-6232	24	11	in	in	ADP
ejpam-6232	24	12	heat	heat	NOUN
ejpam-6232	24	13	transfer	transfer	NOUN
ejpam-6232	24	14	models	model	NOUN
ejpam-6232	24	15	with	with	ADP
ejpam-6232	24	16	fuzzy	fuzzy	ADJ
ejpam-6232	24	17	uncertainty	uncertainty	NOUN
ejpam-6232	24	18	.	.	PUNCT
ejpam-6232	25	1	similarly	similarly	ADV
ejpam-6232	25	2	,	,	PUNCT
ejpam-6232	25	3	rahman	rahman	PROPN
ejpam-6232	25	4	et	et	PROPN
ejpam-6232	25	5	al	al	PROPN
ejpam-6232	25	6	.	.	PUNCT
ejpam-6232	26	1	[	[	X
ejpam-6232	26	2	17	17	NUM
ejpam-6232	26	3	]	]	PUNCT
ejpam-6232	26	4	extended	extended	ADJ
ejpam-6232	26	5	intuitionistic	intuitionistic	ADJ
ejpam-6232	26	6	fuzzy	fuzzy	ADJ
ejpam-6232	26	7	calculus	calculus	NOUN
ejpam-6232	26	8	to	to	PART
ejpam-6232	26	9	model	model	VERB
ejpam-6232	26	10	uncertainty	uncertainty	NOUN
ejpam-6232	26	11	in	in	ADP
ejpam-6232	26	12	decision	decision	NOUN
ejpam-6232	26	13	-	-	PUNCT
ejpam-6232	26	14	making	making	NOUN
ejpam-6232	26	15	,	,	PUNCT
ejpam-6232	26	16	emphasizing	emphasize	VERB
ejpam-6232	26	17	acceptance	acceptance	NOUN
ejpam-6232	26	18	-	-	PUNCT
ejpam-6232	26	19	rejection	rejection	NOUN
ejpam-6232	26	20	dynamics	dynamic	NOUN
ejpam-6232	26	21	.	.	PUNCT
ejpam-6232	27	1	their	their	PRON
ejpam-6232	27	2	use	use	NOUN
ejpam-6232	27	3	of	of	ADP
ejpam-6232	27	4	intuitionistic	intuitionistic	ADJ
ejpam-6232	27	5	fuzzy	fuzzy	ADJ
ejpam-6232	27	6	differential	differential	ADJ
ejpam-6232	27	7	equations	equation	NOUN
ejpam-6232	27	8	(	(	PUNCT
ejpam-6232	27	9	ifdes	ifde	NOUN
ejpam-6232	27	10	)	)	PUNCT
ejpam-6232	27	11	in	in	ADP
ejpam-6232	27	12	economic	economic	ADJ
ejpam-6232	27	13	systems	system	NOUN
ejpam-6232	27	14	highlights	highlight	NOUN
ejpam-6232	27	15	the	the	DET
ejpam-6232	27	16	broader	broad	ADJ
ejpam-6232	27	17	applicability	applicability	NOUN
ejpam-6232	27	18	of	of	ADP
ejpam-6232	27	19	intuitionistic	intuitionistic	ADJ
ejpam-6232	27	20	complex	complex	ADJ
ejpam-6232	27	21	dirichlet	dirichlet	NOUN
ejpam-6232	27	22	conditions	condition	NOUN
ejpam-6232	27	23	in	in	ADP
ejpam-6232	27	24	modeling	model	VERB
ejpam-6232	27	25	imprecise	imprecise	ADJ
ejpam-6232	27	26	systems	system	NOUN
ejpam-6232	27	27	.	.	PUNCT
ejpam-6232	28	1	the	the	DET
ejpam-6232	28	2	combination	combination	NOUN
ejpam-6232	28	3	of	of	ADP
ejpam-6232	28	4	these	these	DET
ejpam-6232	28	5	methodologies	methodology	NOUN
ejpam-6232	28	6	supports	support	VERB
ejpam-6232	28	7	the	the	DET
ejpam-6232	28	8	explicit	explicit	ADJ
ejpam-6232	28	9	finite	finite	ADJ
ejpam-6232	28	10	difference	difference	NOUN
ejpam-6232	28	11	method	method	NOUN
ejpam-6232	28	12	used	use	VERB
ejpam-6232	28	13	in	in	ADP
ejpam-6232	28	14	this	this	DET
ejpam-6232	28	15	study	study	NOUN
ejpam-6232	28	16	for	for	ADP
ejpam-6232	28	17	solving	solve	VERB
ejpam-6232	28	18	cif	cif	PROPN
ejpam-6232	28	19	heat	heat	NOUN
ejpam-6232	28	20	equations	equation	NOUN
ejpam-6232	28	21	,	,	PUNCT
ejpam-6232	28	22	ensuring	ensure	VERB
ejpam-6232	28	23	improved	improved	ADJ
ejpam-6232	28	24	computational	computational	ADJ
ejpam-6232	28	25	accuracy	accuracy	NOUN
ejpam-6232	28	26	under	under	ADP
ejpam-6232	28	27	fuzzy	fuzzy	ADJ
ejpam-6232	28	28	and	and	CCONJ
ejpam-6232	28	29	intuitionistic	intuitionistic	ADJ
ejpam-6232	28	30	fuzzy	fuzzy	ADJ
ejpam-6232	28	31	environments	environment	NOUN
ejpam-6232	28	32	.	.	PUNCT
ejpam-6232	29	1	additionally	additionally	ADV
ejpam-6232	29	2	,	,	PUNCT
ejpam-6232	29	3	payal	payal	PROPN
ejpam-6232	29	4	et	et	PROPN
ejpam-6232	29	5	al	al	PROPN
ejpam-6232	29	6	.	.	PUNCT
ejpam-6232	30	1	[	[	X
ejpam-6232	30	2	6	6	NUM
ejpam-6232	30	3	]	]	PUNCT
ejpam-6232	30	4	investigated	investigate	VERB
ejpam-6232	30	5	a	a	DET
ejpam-6232	30	6	fuzzy	fuzzy	ADJ
ejpam-6232	30	7	prey	prey	NOUN
ejpam-6232	30	8	–	–	PUNCT
ejpam-6232	30	9	predator	predator	NOUN
ejpam-6232	30	10	model	model	NOUN
ejpam-6232	30	11	incorporating	incorporate	VERB
ejpam-6232	30	12	the	the	DET
ejpam-6232	30	13	holling	holle	VERB
ejpam-6232	30	14	type	type	NOUN
ejpam-6232	30	15	ii	ii	PROPN
ejpam-6232	30	16	functional	functional	ADJ
ejpam-6232	30	17	response	response	NOUN
ejpam-6232	30	18	,	,	PUNCT
ejpam-6232	30	19	with	with	ADP
ejpam-6232	30	20	a	a	DET
ejpam-6232	30	21	focus	focus	NOUN
ejpam-6232	30	22	on	on	ADP
ejpam-6232	30	23	mathematical	mathematical	ADJ
ejpam-6232	30	24	analysis	analysis	NOUN
ejpam-6232	30	25	and	and	CCONJ
ejpam-6232	30	26	qualitative	qualitative	ADJ
ejpam-6232	30	27	behaviors	behavior	NOUN
ejpam-6232	30	28	relevant	relevant	ADJ
ejpam-6232	30	29	to	to	ADP
ejpam-6232	30	30	biological	biological	ADJ
ejpam-6232	30	31	systems	system	NOUN
ejpam-6232	30	32	such	such	ADJ
ejpam-6232	30	33	as	as	ADP
ejpam-6232	30	34	pest	pest	NOUN
ejpam-6232	30	35	control	control	NOUN
ejpam-6232	30	36	.	.	PUNCT
ejpam-6232	31	1	in	in	ADP
ejpam-6232	31	2	2025	2025	NUM
ejpam-6232	31	3	,	,	PUNCT
ejpam-6232	31	4	rahaman	rahaman	NOUN
ejpam-6232	32	1	[	[	X
ejpam-6232	32	2	7]constructed	7]constructe	VERB
ejpam-6232	32	3	the	the	DET
ejpam-6232	32	4	riemann	riemann	PROPN
ejpam-6232	32	5	–	–	PUNCT
ejpam-6232	32	6	liouville	liouville	VERB
ejpam-6232	32	7	fractional	fractional	ADJ
ejpam-6232	32	8	integral	integral	ADJ
ejpam-6232	32	9	within	within	ADP
ejpam-6232	32	10	this	this	DET
ejpam-6232	32	11	framework	framework	NOUN
ejpam-6232	32	12	and	and	CCONJ
ejpam-6232	32	13	extended	extend	VERB
ejpam-6232	32	14	the	the	DET
ejpam-6232	32	15	analysis	analysis	NOUN
ejpam-6232	32	16	to	to	PART
ejpam-6232	32	17	include	include	VERB
ejpam-6232	32	18	both	both	DET
ejpam-6232	32	19	riemann	riemann	PROPN
ejpam-6232	32	20	–	–	PUNCT
ejpam-6232	32	21	liouville	liouville	PROPN
ejpam-6232	32	22	and	and	CCONJ
ejpam-6232	32	23	caputo	caputo	PROPN
ejpam-6232	32	24	fractional	fractional	ADJ
ejpam-6232	32	25	derivatives	derivative	NOUN
ejpam-6232	32	26	.	.	PUNCT
ejpam-6232	33	1	a	a	DET
ejpam-6232	33	2	type	type	NOUN
ejpam-6232	33	3	2	2	NUM
ejpam-6232	33	4	interval	interval	NOUN
ejpam-6232	33	5	-	-	PUNCT
ejpam-6232	33	6	valued	value	VERB
ejpam-6232	33	7	laplace	laplace	NOUN
ejpam-6232	33	8	transform	transform	NOUN
ejpam-6232	33	9	was	be	AUX
ejpam-6232	33	10	also	also	ADV
ejpam-6232	33	11	developed	develop	VERB
ejpam-6232	33	12	.	.	PUNCT
ejpam-6232	34	1	the	the	DET
ejpam-6232	34	2	theoretical	theoretical	ADJ
ejpam-6232	34	3	results	result	NOUN
ejpam-6232	34	4	were	be	AUX
ejpam-6232	34	5	illustrated	illustrate	VERB
ejpam-6232	34	6	through	through	ADP
ejpam-6232	34	7	an	an	DET
ejpam-6232	34	8	application	application	NOUN
ejpam-6232	34	9	to	to	ADP
ejpam-6232	34	10	an	an	DET
ejpam-6232	34	11	economic	economic	ADJ
ejpam-6232	34	12	lot	lot	NOUN
ejpam-6232	34	13	maintenance	maintenance	NOUN
ejpam-6232	34	14	model	model	NOUN
ejpam-6232	34	15	.	.	PUNCT
ejpam-6232	35	1	al	al	PROPN
ejpam-6232	35	2	-	-	PUNCT
ejpam-6232	35	3	qudah	qudah	PROPN
ejpam-6232	35	4	et	et	PROPN
ejpam-6232	35	5	al	al	PROPN
ejpam-6232	35	6	.	.	PUNCT
ejpam-6232	36	1	[	[	X
ejpam-6232	36	2	8	8	NUM
ejpam-6232	36	3	]	]	PUNCT
ejpam-6232	36	4	proposed	propose	VERB
ejpam-6232	36	5	an	an	DET
ejpam-6232	36	6	efficient	efficient	ADJ
ejpam-6232	36	7	analytic	analytic	ADJ
ejpam-6232	36	8	-	-	PUNCT
ejpam-6232	36	9	numeric	numeric	ADJ
ejpam-6232	36	10	method	method	NOUN
ejpam-6232	36	11	using	use	VERB
ejpam-6232	36	12	fuzzy	fuzzy	ADJ
ejpam-6232	36	13	logic	logic	NOUN
ejpam-6232	36	14	and	and	CCONJ
ejpam-6232	36	15	generalized	generalized	ADJ
ejpam-6232	36	16	taylor	taylor	PROPN
ejpam-6232	36	17	expansion	expansion	NOUN
ejpam-6232	36	18	to	to	PART
ejpam-6232	36	19	solve	solve	VERB
ejpam-6232	36	20	fractional	fractional	ADJ
ejpam-6232	36	21	-	-	PUNCT
ejpam-6232	36	22	order	order	NOUN
ejpam-6232	36	23	differential	differential	ADJ
ejpam-6232	36	24	equations	equation	NOUN
ejpam-6232	36	25	with	with	ADP
ejpam-6232	36	26	uncertain	uncertain	ADJ
ejpam-6232	36	27	initial	initial	ADJ
ejpam-6232	36	28	data	datum	NOUN
ejpam-6232	36	29	.	.	PUNCT
ejpam-6232	37	1	the	the	DET
ejpam-6232	37	2	method	method	NOUN
ejpam-6232	37	3	showed	show	VERB
ejpam-6232	37	4	high	high	ADJ
ejpam-6232	37	5	accuracy	accuracy	NOUN
ejpam-6232	37	6	and	and	CCONJ
ejpam-6232	37	7	reliability	reliability	NOUN
ejpam-6232	37	8	in	in	ADP
ejpam-6232	37	9	obtaining	obtain	VERB
ejpam-6232	37	10	fuzzy	fuzzy	ADJ
ejpam-6232	37	11	approximate	approximate	ADJ
ejpam-6232	37	12	solutions	solution	NOUN
ejpam-6232	37	13	,	,	PUNCT
ejpam-6232	37	14	suitable	suitable	ADJ
ejpam-6232	37	15	for	for	ADP
ejpam-6232	37	16	physics	physics	NOUN
ejpam-6232	37	17	and	and	CCONJ
ejpam-6232	37	18	engineering	engineering	NOUN
ejpam-6232	37	19	applications	application	NOUN
ejpam-6232	37	20	.	.	PUNCT
ejpam-6232	38	1	buckley	buckley	PROPN
ejpam-6232	38	2	introduced	introduce	VERB
ejpam-6232	38	3	a	a	DET
ejpam-6232	38	4	novel	novel	ADJ
ejpam-6232	38	5	definition	definition	NOUN
ejpam-6232	38	6	of	of	ADP
ejpam-6232	38	7	fuzzy	fuzzy	ADJ
ejpam-6232	38	8	complex	complex	ADJ
ejpam-6232	38	9	numbers	number	NOUN
ejpam-6232	38	10	(	(	PUNCT
ejpam-6232	38	11	fcns	fcns	NOUN
ejpam-6232	38	12	)	)	PUNCT
ejpam-6232	39	1	[	[	X
ejpam-6232	39	2	18	18	NUM
ejpam-6232	39	3	]	]	PUNCT
ejpam-6232	39	4	,	,	PUNCT
ejpam-6232	39	5	[	[	X
ejpam-6232	39	6	19	19	NUM
ejpam-6232	39	7	]	]	PUNCT
ejpam-6232	39	8	,	,	PUNCT
ejpam-6232	39	9	[	[	X
ejpam-6232	39	10	20	20	NUM
ejpam-6232	39	11	]	]	PUNCT
ejpam-6232	39	12	,	,	PUNCT
ejpam-6232	39	13	[	[	X
ejpam-6232	39	14	21	21	NUM
ejpam-6232	39	15	]	]	PUNCT
ejpam-6232	39	16	by	by	ADP
ejpam-6232	39	17	incorporating	incorporate	VERB
ejpam-6232	39	18	complex	complex	ADV
ejpam-6232	39	19	-	-	PUNCT
ejpam-6232	39	20	valued	value	VERB
ejpam-6232	39	21	fuzzy	fuzzy	ADJ
ejpam-6232	39	22	numbers	number	NOUN
ejpam-6232	39	23	to	to	PART
ejpam-6232	39	24	extend	extend	VERB
ejpam-6232	39	25	classical	classical	ADJ
ejpam-6232	39	26	fuzzy	fuzzy	ADJ
ejpam-6232	39	27	set	set	NOUN
ejpam-6232	39	28	theory	theory	NOUN
ejpam-6232	39	29	.	.	PUNCT
ejpam-6232	40	1	in	in	ADP
ejpam-6232	40	2	this	this	DET
ejpam-6232	40	3	formulation	formulation	NOUN
ejpam-6232	40	4	,	,	PUNCT
ejpam-6232	40	5	fcns	fcns	NOUN
ejpam-6232	40	6	are	be	AUX
ejpam-6232	40	7	represented	represent	VERB
ejpam-6232	40	8	as	as	ADP
ejpam-6232	40	9	ordinary	ordinary	ADJ
ejpam-6232	40	10	fuzzy	fuzzy	ADJ
ejpam-6232	40	11	sets	set	NOUN
ejpam-6232	40	12	with	with	ADP
ejpam-6232	40	13	a	a	DET
ejpam-6232	40	14	membership	membership	NOUN
ejpam-6232	40	15	function	function	NOUN
ejpam-6232	40	16	a.	a.	PROPN
ejpam-6232	40	17	u.	u.	PROPN
ejpam-6232	40	18	alkouri	alkouri	PROPN
ejpam-6232	40	19	et	et	PROPN
ejpam-6232	40	20	al	al	PROPN
ejpam-6232	40	21	.	.	PUNCT
ejpam-6232	40	22	/	/	SYM
ejpam-6232	40	23	eur	eur	PROPN
ejpam-6232	40	24	.	.	PUNCT
ejpam-6232	41	1	j.	j.	PROPN
ejpam-6232	41	2	pure	pure	PROPN
ejpam-6232	41	3	appl	appl	PROPN
ejpam-6232	41	4	.	.	PROPN
ejpam-6232	41	5	math	math	PROPN
ejpam-6232	41	6	,	,	PUNCT
ejpam-6232	41	7	18	18	NUM
ejpam-6232	41	8	(	(	PUNCT
ejpam-6232	41	9	3	3	NUM
ejpam-6232	41	10	)	)	PUNCT
ejpam-6232	41	11	(	(	PUNCT
ejpam-6232	41	12	2025	2025	NUM
ejpam-6232	41	13	)	)	PUNCT
ejpam-6232	41	14	,	,	PUNCT
ejpam-6232	41	15	6232	6232	NUM
ejpam-6232	41	16	3	3	NUM
ejpam-6232	41	17	of	of	ADP
ejpam-6232	41	18	15	15	NUM
ejpam-6232	41	19	ranging	range	VERB
ejpam-6232	41	20	between	between	ADP
ejpam-6232	41	21	[	[	X
ejpam-6232	41	22	0,1	0,1	NUM
ejpam-6232	41	23	]	]	PUNCT
ejpam-6232	41	24	.	.	PUNCT
ejpam-6232	42	1	subsequently	subsequently	ADV
ejpam-6232	42	2	,	,	PUNCT
ejpam-6232	42	3	a	a	DET
ejpam-6232	42	4	new	new	ADJ
ejpam-6232	42	5	idea	idea	NOUN
ejpam-6232	42	6	emerged	emerge	VERB
ejpam-6232	42	7	in	in	ADP
ejpam-6232	42	8	2002	2002	NUM
ejpam-6232	42	9	to	to	PART
ejpam-6232	42	10	extend	extend	VERB
ejpam-6232	42	11	the	the	DET
ejpam-6232	42	12	membership	membership	NOUN
ejpam-6232	42	13	function	function	NOUN
ejpam-6232	42	14	’s	’s	PART
ejpam-6232	42	15	image	image	NOUN
ejpam-6232	42	16	from	from	ADP
ejpam-6232	42	17	[	[	X
ejpam-6232	42	18	0	0	NUM
ejpam-6232	42	19	,	,	PUNCT
ejpam-6232	42	20	1	1	NUM
ejpam-6232	42	21	]	]	PUNCT
ejpam-6232	42	22	to	to	ADP
ejpam-6232	42	23	the	the	DET
ejpam-6232	42	24	unit	unit	NOUN
ejpam-6232	42	25	disk	disk	NOUN
ejpam-6232	42	26	in	in	ADP
ejpam-6232	42	27	the	the	DET
ejpam-6232	42	28	complex	complex	ADJ
ejpam-6232	42	29	plane	plane	NOUN
ejpam-6232	42	30	c.	c.	NOUN
ejpam-6232	42	31	this	this	PRON
ejpam-6232	42	32	gave	give	VERB
ejpam-6232	42	33	rise	rise	NOUN
ejpam-6232	42	34	to	to	ADP
ejpam-6232	42	35	cf	cf	NOUN
ejpam-6232	42	36	sets	set	NOUN
ejpam-6232	42	37	(	(	PUNCT
ejpam-6232	42	38	cfss	cfss	ADJ
ejpam-6232	42	39	)	)	PUNCT
ejpam-6232	43	1	[	[	X
ejpam-6232	43	2	22	22	NUM
ejpam-6232	43	3	]	]	PUNCT
ejpam-6232	43	4	.	.	PUNCT
ejpam-6232	44	1	unlike	unlike	ADP
ejpam-6232	44	2	fcns	fcns	NOUN
ejpam-6232	44	3	,	,	PUNCT
ejpam-6232	44	4	cfss	cfss	ADJ
ejpam-6232	44	5	feature	feature	NOUN
ejpam-6232	44	6	complex	complex	ADV
ejpam-6232	44	7	-	-	PUNCT
ejpam-6232	44	8	valued	value	VERB
ejpam-6232	44	9	membership	membership	NOUN
ejpam-6232	44	10	grades	grade	NOUN
ejpam-6232	44	11	,	,	PUNCT
ejpam-6232	44	12	which	which	PRON
ejpam-6232	44	13	represent	represent	VERB
ejpam-6232	44	14	a	a	DET
ejpam-6232	44	15	significant	significant	ADJ
ejpam-6232	44	16	advancement	advancement	NOUN
ejpam-6232	44	17	in	in	ADP
ejpam-6232	44	18	fuzzy	fuzzy	ADJ
ejpam-6232	44	19	set	set	NOUN
ejpam-6232	44	20	theory	theory	NOUN
ejpam-6232	44	21	.	.	PUNCT
ejpam-6232	45	1	the	the	DET
ejpam-6232	45	2	concept	concept	NOUN
ejpam-6232	45	3	of	of	ADP
ejpam-6232	45	4	cfs	cfs	PROPN
ejpam-6232	45	5	has	have	AUX
ejpam-6232	45	6	since	since	ADV
ejpam-6232	45	7	garnered	garner	VERB
ejpam-6232	45	8	extensive	extensive	ADJ
ejpam-6232	45	9	attention	attention	NOUN
ejpam-6232	45	10	with	with	ADP
ejpam-6232	45	11	widespread	widespread	ADJ
ejpam-6232	45	12	applications	application	NOUN
ejpam-6232	45	13	and	and	CCONJ
ejpam-6232	45	14	research	research	NOUN
ejpam-6232	45	15	contributions	contribution	NOUN
ejpam-6232	45	16	[	[	X
ejpam-6232	45	17	23	23	NUM
ejpam-6232	45	18	]	]	PUNCT
ejpam-6232	45	19	,	,	PUNCT
ejpam-6232	45	20	[	[	X
ejpam-6232	45	21	24	24	NUM
ejpam-6232	45	22	]	]	PUNCT
ejpam-6232	45	23	,	,	PUNCT
ejpam-6232	45	24	[	[	X
ejpam-6232	45	25	25	25	NUM
ejpam-6232	45	26	]	]	X
ejpam-6232	45	27	incorporating	incorporate	VERB
ejpam-6232	45	28	complex	complex	ADJ
ejpam-6232	45	29	numbers	number	NOUN
ejpam-6232	45	30	into	into	ADP
ejpam-6232	45	31	the	the	DET
ejpam-6232	45	32	fuzzy	fuzzy	ADJ
ejpam-6232	45	33	theory	theory	NOUN
ejpam-6232	45	34	and	and	CCONJ
ejpam-6232	45	35	intuitionistic	intuitionistic	ADJ
ejpam-6232	45	36	fuzzy	fuzzy	ADJ
ejpam-6232	45	37	theory	theory	NOUN
ejpam-6232	45	38	,	,	PUNCT
ejpam-6232	45	39	ramote	ramote	VERB
ejpam-6232	45	40	et	et	PROPN
ejpam-6232	45	41	al	al	PROPN
ejpam-6232	45	42	.	.	PUNCT
ejpam-6232	46	1	[	[	X
ejpam-6232	46	2	26]and	26]and	NUM
ejpam-6232	46	3	alkouri	alkouri	NOUN
ejpam-6232	46	4	and	and	CCONJ
ejpam-6232	46	5	salleh	salleh	NOUN
ejpam-6232	47	1	[	[	X
ejpam-6232	47	2	27	27	NUM
ejpam-6232	47	3	]	]	PUNCT
ejpam-6232	47	4	,	,	PUNCT
ejpam-6232	47	5	introduced	introduce	VERB
ejpam-6232	47	6	the	the	DET
ejpam-6232	47	7	useful	useful	ADJ
ejpam-6232	47	8	notions	notion	NOUN
ejpam-6232	47	9	of	of	ADP
ejpam-6232	47	10	the	the	DET
ejpam-6232	47	11	cfs	cfs	NOUN
ejpam-6232	47	12	and	and	CCONJ
ejpam-6232	47	13	complex	complex	ADJ
ejpam-6232	47	14	intuitionistic	intuitionistic	ADJ
ejpam-6232	47	15	fuzzy	fuzzy	ADJ
ejpam-6232	47	16	set	set	NOUN
ejpam-6232	47	17	(	(	PUNCT
ejpam-6232	47	18	cifs	cifs	PROPN
ejpam-6232	47	19	)	)	PUNCT
ejpam-6232	47	20	.	.	PUNCT
ejpam-6232	48	1	these	these	DET
ejpam-6232	48	2	notions	notion	NOUN
ejpam-6232	48	3	extended	extend	VERB
ejpam-6232	48	4	the	the	DET
ejpam-6232	48	5	range	range	NOUN
ejpam-6232	48	6	of	of	ADP
ejpam-6232	48	7	membership	membership	NOUN
ejpam-6232	48	8	and	and	CCONJ
ejpam-6232	48	9	(	(	PUNCT
ejpam-6232	48	10	non	non	ADJ
ejpam-6232	48	11	-	-	ADJ
ejpam-6232	48	12	membership	membership	ADJ
ejpam-6232	48	13	)	)	PUNCT
ejpam-6232	48	14	functions	function	NOUN
ejpam-6232	48	15	from	from	ADP
ejpam-6232	48	16	[	[	X
ejpam-6232	48	17	0	0	NUM
ejpam-6232	48	18	,	,	PUNCT
ejpam-6232	48	19	1	1	NUM
ejpam-6232	48	20	]	]	PUNCT
ejpam-6232	48	21	to	to	ADP
ejpam-6232	48	22	unit	unit	NOUN
ejpam-6232	48	23	disk	disk	NOUN
ejpam-6232	48	24	in	in	ADP
ejpam-6232	48	25	the	the	DET
ejpam-6232	48	26	c.	c.	NOUN
ejpam-6232	48	27	this	this	DET
ejpam-6232	48	28	extension	extension	NOUN
ejpam-6232	48	29	allows	allow	VERB
ejpam-6232	48	30	mathematicians	mathematician	NOUN
ejpam-6232	48	31	to	to	PART
ejpam-6232	48	32	convey	convey	VERB
ejpam-6232	48	33	and	and	CCONJ
ejpam-6232	48	34	represent	represent	VERB
ejpam-6232	48	35	a	a	DET
ejpam-6232	48	36	special	special	ADJ
ejpam-6232	48	37	type	type	NOUN
ejpam-6232	48	38	of	of	ADP
ejpam-6232	48	39	information	information	NOUN
ejpam-6232	48	40	to	to	ADP
ejpam-6232	48	41	mathematical	mathematical	ADJ
ejpam-6232	48	42	formulation	formulation	NOUN
ejpam-6232	48	43	and	and	CCONJ
ejpam-6232	48	44	vice	vice	NOUN
ejpam-6232	48	45	versa	versa	ADV
ejpam-6232	48	46	without	without	ADP
ejpam-6232	48	47	losing	lose	VERB
ejpam-6232	48	48	the	the	DET
ejpam-6232	48	49	interpretability	interpretability	NOUN
ejpam-6232	48	50	provided	provide	VERB
ejpam-6232	48	51	by	by	ADP
ejpam-6232	48	52	human	human	ADJ
ejpam-6232	48	53	experts	expert	NOUN
ejpam-6232	48	54	at	at	ADP
ejpam-6232	48	55	various	various	ADJ
ejpam-6232	48	56	levels	level	NOUN
ejpam-6232	48	57	or	or	CCONJ
ejpam-6232	48	58	stages	stage	NOUN
ejpam-6232	48	59	.	.	PUNCT
ejpam-6232	49	1	moreover	moreover	ADV
ejpam-6232	49	2	,	,	PUNCT
ejpam-6232	49	3	several	several	ADJ
ejpam-6232	49	4	real	real	ADJ
ejpam-6232	49	5	-	-	PUNCT
ejpam-6232	49	6	life	life	NOUN
ejpam-6232	49	7	applications	application	NOUN
ejpam-6232	49	8	of	of	ADP
ejpam-6232	49	9	cfs	cfs	PROPN
ejpam-6232	49	10	and	and	CCONJ
ejpam-6232	49	11	cifs	cif	NOUN
ejpam-6232	49	12	have	have	AUX
ejpam-6232	49	13	been	be	AUX
ejpam-6232	49	14	reported	report	VERB
ejpam-6232	49	15	in	in	ADP
ejpam-6232	49	16	the	the	DET
ejpam-6232	49	17	literature	literature	NOUN
ejpam-6232	49	18	[	[	X
ejpam-6232	49	19	28	28	NUM
ejpam-6232	49	20	]	]	PUNCT
ejpam-6232	49	21	,	,	PUNCT
ejpam-6232	49	22	[	[	X
ejpam-6232	49	23	29	29	NUM
ejpam-6232	49	24	]	]	PUNCT
ejpam-6232	49	25	,	,	PUNCT
ejpam-6232	49	26	[	[	X
ejpam-6232	49	27	30	30	NUM
ejpam-6232	49	28	]	]	PUNCT
ejpam-6232	49	29	,	,	PUNCT
ejpam-6232	49	30	[	[	X
ejpam-6232	49	31	31	31	NUM
ejpam-6232	49	32	]	]	PUNCT
ejpam-6232	49	33	,	,	PUNCT
ejpam-6232	49	34	[	[	X
ejpam-6232	49	35	32	32	NUM
ejpam-6232	49	36	]	]	PUNCT
ejpam-6232	49	37	.	.	PUNCT
ejpam-6232	50	1	the	the	DET
ejpam-6232	50	2	first	first	ADJ
ejpam-6232	50	3	combination	combination	NOUN
ejpam-6232	50	4	of	of	ADP
ejpam-6232	50	5	cfs	cfs	PROPN
ejpam-6232	50	6	with	with	ADP
ejpam-6232	50	7	numerical	numerical	ADJ
ejpam-6232	50	8	methods	method	NOUN
ejpam-6232	50	9	for	for	ADP
ejpam-6232	50	10	solving	solve	VERB
ejpam-6232	50	11	fpde	fpde	NOUN
ejpam-6232	50	12	involving	involve	VERB
ejpam-6232	50	13	fuzzy	fuzzy	ADJ
ejpam-6232	50	14	heat	heat	NOUN
ejpam-6232	50	15	equation	equation	NOUN
ejpam-6232	50	16	(	(	PUNCT
ejpam-6232	50	17	fhe	fhe	PROPN
ejpam-6232	50	18	)	)	PUNCT
ejpam-6232	50	19	has	have	AUX
ejpam-6232	50	20	been	be	AUX
ejpam-6232	50	21	introduced	introduce	VERB
ejpam-6232	50	22	by	by	ADP
ejpam-6232	50	23	zureigat	zureigat	PROPN
ejpam-6232	50	24	et	et	PROPN
ejpam-6232	50	25	al	al	PROPN
ejpam-6232	50	26	.	.	PROPN
ejpam-6232	51	1	in	in	ADP
ejpam-6232	51	2	2023	2023	NUM
ejpam-6232	51	3	[	[	X
ejpam-6232	51	4	33	33	NUM
ejpam-6232	51	5	]	]	PUNCT
ejpam-6232	51	6	the	the	DET
ejpam-6232	51	7	research	research	NOUN
ejpam-6232	51	8	gaps	gap	NOUN
ejpam-6232	51	9	and	and	CCONJ
ejpam-6232	51	10	motivations	motivation	NOUN
ejpam-6232	51	11	for	for	ADP
ejpam-6232	51	12	extending	extend	VERB
ejpam-6232	51	13	the	the	DET
ejpam-6232	51	14	cf	cf	NOUN
ejpam-6232	51	15	heat	heat	NOUN
ejpam-6232	51	16	equation	equation	NOUN
ejpam-6232	51	17	to	to	ADP
ejpam-6232	51	18	the	the	DET
ejpam-6232	51	19	novel	novel	ADJ
ejpam-6232	51	20	notion	notion	NOUN
ejpam-6232	51	21	of	of	ADP
ejpam-6232	51	22	a	a	DET
ejpam-6232	51	23	cif	cif	PROPN
ejpam-6232	51	24	heat	heat	NOUN
ejpam-6232	51	25	equation	equation	NOUN
ejpam-6232	51	26	come	come	VERB
ejpam-6232	51	27	from	from	ADP
ejpam-6232	51	28	the	the	DET
ejpam-6232	51	29	inability	inability	NOUN
ejpam-6232	51	30	of	of	ADP
ejpam-6232	51	31	cf	cf	NOUN
ejpam-6232	51	32	heat	heat	NOUN
ejpam-6232	51	33	equation	equation	NOUN
ejpam-6232	51	34	to	to	PART
ejpam-6232	51	35	account	account	VERB
ejpam-6232	51	36	for	for	ADP
ejpam-6232	51	37	hesitation	hesitation	NOUN
ejpam-6232	51	38	degrees	degree	NOUN
ejpam-6232	51	39	,	,	PUNCT
ejpam-6232	51	40	which	which	PRON
ejpam-6232	51	41	are	be	AUX
ejpam-6232	51	42	often	often	ADV
ejpam-6232	51	43	present	present	ADJ
ejpam-6232	51	44	in	in	ADP
ejpam-6232	51	45	real	real	ADJ
ejpam-6232	51	46	-	-	PUNCT
ejpam-6232	51	47	world	world	NOUN
ejpam-6232	51	48	physical	physical	ADJ
ejpam-6232	51	49	or	or	CCONJ
ejpam-6232	51	50	engineering	engineering	NOUN
ejpam-6232	51	51	systems	system	NOUN
ejpam-6232	51	52	.	.	PUNCT
ejpam-6232	52	1	these	these	DET
ejpam-6232	52	2	systems	system	NOUN
ejpam-6232	52	3	may	may	AUX
ejpam-6232	52	4	involve	involve	VERB
ejpam-6232	52	5	not	not	PART
ejpam-6232	52	6	only	only	ADV
ejpam-6232	52	7	uncertainty	uncertainty	NOUN
ejpam-6232	52	8	in	in	ADP
ejpam-6232	52	9	measurement	measurement	NOUN
ejpam-6232	52	10	but	but	CCONJ
ejpam-6232	52	11	also	also	ADV
ejpam-6232	52	12	incomplete	incomplete	ADJ
ejpam-6232	52	13	trust	trust	NOUN
ejpam-6232	52	14	in	in	ADP
ejpam-6232	52	15	that	that	DET
ejpam-6232	52	16	uncertainty	uncertainty	NOUN
ejpam-6232	52	17	due	due	ADJ
ejpam-6232	52	18	to	to	ADP
ejpam-6232	52	19	imprecise	imprecise	ADV
ejpam-6232	52	20	,	,	PUNCT
ejpam-6232	52	21	conflicting	conflicting	ADJ
ejpam-6232	52	22	,	,	PUNCT
ejpam-6232	52	23	or	or	CCONJ
ejpam-6232	52	24	missing	miss	VERB
ejpam-6232	52	25	information	information	NOUN
ejpam-6232	52	26	.	.	PUNCT
ejpam-6232	53	1	the	the	DET
ejpam-6232	53	2	cifs	cifs	PROPN
ejpam-6232	53	3	framework	framework	NOUN
ejpam-6232	53	4	enriches	enrich	VERB
ejpam-6232	53	5	the	the	DET
ejpam-6232	53	6	model	model	NOUN
ejpam-6232	53	7	by	by	ADP
ejpam-6232	53	8	incorporating	incorporate	VERB
ejpam-6232	53	9	both	both	CCONJ
ejpam-6232	53	10	the	the	DET
ejpam-6232	53	11	degree	degree	NOUN
ejpam-6232	53	12	of	of	ADP
ejpam-6232	53	13	membership	membership	NOUN
ejpam-6232	53	14	and	and	CCONJ
ejpam-6232	53	15	non	non	ADJ
ejpam-6232	53	16	-	-	NOUN
ejpam-6232	53	17	membership	membership	NOUN
ejpam-6232	53	18	in	in	ADP
ejpam-6232	53	19	complex	complex	ADV
ejpam-6232	53	20	-	-	PUNCT
ejpam-6232	53	21	valued	value	VERB
ejpam-6232	53	22	form	form	NOUN
ejpam-6232	53	23	,	,	PUNCT
ejpam-6232	53	24	along	along	ADP
ejpam-6232	53	25	with	with	ADP
ejpam-6232	53	26	a	a	DET
ejpam-6232	53	27	residual	residual	ADJ
ejpam-6232	53	28	hesitation	hesitation	NOUN
ejpam-6232	53	29	margin	margin	NOUN
ejpam-6232	53	30	.	.	PUNCT
ejpam-6232	54	1	this	this	PRON
ejpam-6232	54	2	provides	provide	VERB
ejpam-6232	54	3	a	a	DET
ejpam-6232	54	4	more	more	ADV
ejpam-6232	54	5	expressive	expressive	ADJ
ejpam-6232	54	6	and	and	CCONJ
ejpam-6232	54	7	reliable	reliable	ADJ
ejpam-6232	54	8	modeling	modeling	NOUN
ejpam-6232	54	9	framework	framework	NOUN
ejpam-6232	54	10	for	for	ADP
ejpam-6232	54	11	environments	environment	NOUN
ejpam-6232	54	12	where	where	SCONJ
ejpam-6232	54	13	data	datum	NOUN
ejpam-6232	54	14	vagueness	vagueness	NOUN
ejpam-6232	54	15	and	and	CCONJ
ejpam-6232	54	16	conflict	conflict	NOUN
ejpam-6232	54	17	coexist	coexist	NOUN
ejpam-6232	54	18	with	with	ADP
ejpam-6232	54	19	complex	complex	ADV
ejpam-6232	54	20	-	-	PUNCT
ejpam-6232	54	21	valued	value	VERB
ejpam-6232	54	22	parameters	parameter	NOUN
ejpam-6232	54	23	.	.	PUNCT
ejpam-6232	55	1	therefore	therefore	ADV
ejpam-6232	55	2	,	,	PUNCT
ejpam-6232	55	3	the	the	DET
ejpam-6232	55	4	novelty	novelty	NOUN
ejpam-6232	55	5	of	of	ADP
ejpam-6232	55	6	our	our	PRON
ejpam-6232	55	7	work	work	NOUN
ejpam-6232	55	8	is	be	AUX
ejpam-6232	55	9	that	that	SCONJ
ejpam-6232	55	10	it	it	PRON
ejpam-6232	55	11	is	be	AUX
ejpam-6232	55	12	among	among	ADP
ejpam-6232	55	13	the	the	DET
ejpam-6232	55	14	first	first	ADJ
ejpam-6232	55	15	to	to	PART
ejpam-6232	55	16	systematically	systematically	ADV
ejpam-6232	55	17	extend	extend	VERB
ejpam-6232	55	18	the	the	DET
ejpam-6232	55	19	complex	complex	ADJ
ejpam-6232	55	20	fuzzy	fuzzy	ADJ
ejpam-6232	55	21	heat	heat	NOUN
ejpam-6232	55	22	equation	equation	NOUN
ejpam-6232	55	23	to	to	ADP
ejpam-6232	55	24	a	a	DET
ejpam-6232	55	25	cif	cif	PROPN
ejpam-6232	55	26	setting	setting	NOUN
ejpam-6232	55	27	,	,	PUNCT
ejpam-6232	55	28	combining	combine	VERB
ejpam-6232	55	29	the	the	DET
ejpam-6232	55	30	strengths	strength	NOUN
ejpam-6232	55	31	of	of	ADP
ejpam-6232	55	32	intuitionistic	intuitionistic	ADJ
ejpam-6232	55	33	fuzzy	fuzzy	ADJ
ejpam-6232	55	34	theory	theory	NOUN
ejpam-6232	55	35	and	and	CCONJ
ejpam-6232	55	36	complex	complex	ADJ
ejpam-6232	55	37	representation	representation	NOUN
ejpam-6232	55	38	.	.	PUNCT
ejpam-6232	56	1	moreover	moreover	ADV
ejpam-6232	56	2	,	,	PUNCT
ejpam-6232	56	3	the	the	DET
ejpam-6232	56	4	proposed	propose	VERB
ejpam-6232	56	5	formulation	formulation	NOUN
ejpam-6232	56	6	introduces	introduce	VERB
ejpam-6232	56	7	new	new	ADJ
ejpam-6232	56	8	solution	solution	NOUN
ejpam-6232	56	9	procedures	procedure	NOUN
ejpam-6232	56	10	under	under	ADP
ejpam-6232	56	11	cif	cif	PROPN
ejpam-6232	56	12	boundary	boundary	ADJ
ejpam-6232	56	13	conditions	condition	NOUN
ejpam-6232	56	14	,	,	PUNCT
ejpam-6232	56	15	which	which	PRON
ejpam-6232	56	16	have	have	AUX
ejpam-6232	56	17	not	not	PART
ejpam-6232	56	18	been	be	AUX
ejpam-6232	56	19	widely	widely	ADV
ejpam-6232	56	20	investigated	investigate	VERB
ejpam-6232	56	21	in	in	ADP
ejpam-6232	56	22	the	the	DET
ejpam-6232	56	23	literature	literature	NOUN
ejpam-6232	56	24	.	.	PUNCT
ejpam-6232	57	1	this	this	DET
ejpam-6232	57	2	paper	paper	NOUN
ejpam-6232	57	3	is	be	AUX
ejpam-6232	57	4	considered	consider	VERB
ejpam-6232	57	5	an	an	DET
ejpam-6232	57	6	extension	extension	NOUN
ejpam-6232	57	7	of	of	ADP
ejpam-6232	57	8	the	the	DET
ejpam-6232	57	9	work	work	NOUN
ejpam-6232	57	10	presented	present	VERB
ejpam-6232	57	11	in	in	ADP
ejpam-6232	57	12	[	[	X
ejpam-6232	57	13	25	25	NUM
ejpam-6232	57	14	]	]	PUNCT
ejpam-6232	57	15	which	which	DET
ejpam-6232	57	16	combined	combine	VERB
ejpam-6232	57	17	cifss	cifss	NOUN
ejpam-6232	57	18	with	with	ADP
ejpam-6232	57	19	numerical	numerical	ADJ
ejpam-6232	57	20	methods	method	NOUN
ejpam-6232	57	21	to	to	PART
ejpam-6232	57	22	solve	solve	VERB
ejpam-6232	57	23	fpdes	fpde	NOUN
ejpam-6232	57	24	involving	involve	VERB
ejpam-6232	57	25	the	the	DET
ejpam-6232	57	26	fhe	fhe	NOUN
ejpam-6232	57	27	.	.	PUNCT
ejpam-6232	58	1	in	in	ADP
ejpam-6232	58	2	this	this	DET
ejpam-6232	58	3	study	study	NOUN
ejpam-6232	58	4	,	,	PUNCT
ejpam-6232	58	5	we	we	PRON
ejpam-6232	58	6	address	address	VERB
ejpam-6232	58	7	the	the	DET
ejpam-6232	58	8	case	case	NOUN
ejpam-6232	58	9	involving	involve	VERB
ejpam-6232	58	10	two	two	NUM
ejpam-6232	58	11	complex	complex	ADV
ejpam-6232	58	12	-	-	PUNCT
ejpam-6232	58	13	valued	value	VERB
ejpam-6232	58	14	functions	function	NOUN
ejpam-6232	58	15	:	:	PUNCT
ejpam-6232	58	16	membership	membership	NOUN
ejpam-6232	58	17	and	and	CCONJ
ejpam-6232	58	18	nonmembership	nonmembership	NOUN
ejpam-6232	58	19	.	.	PUNCT
ejpam-6232	59	1	the	the	DET
ejpam-6232	59	2	key	key	ADJ
ejpam-6232	59	3	contributions	contribution	NOUN
ejpam-6232	59	4	of	of	ADP
ejpam-6232	59	5	this	this	DET
ejpam-6232	59	6	work	work	NOUN
ejpam-6232	59	7	are	be	AUX
ejpam-6232	59	8	threefold	threefold	ADJ
ejpam-6232	59	9	.	.	PUNCT
ejpam-6232	60	1	first	first	ADV
ejpam-6232	60	2	,	,	PUNCT
ejpam-6232	60	3	it	it	PRON
ejpam-6232	60	4	introduces	introduce	VERB
ejpam-6232	60	5	a	a	DET
ejpam-6232	60	6	novel	novel	ADJ
ejpam-6232	60	7	extension	extension	NOUN
ejpam-6232	60	8	from	from	ADP
ejpam-6232	60	9	the	the	DET
ejpam-6232	60	10	classical	classical	ADJ
ejpam-6232	60	11	heat	heat	NOUN
ejpam-6232	60	12	equation	equation	NOUN
ejpam-6232	60	13	and	and	CCONJ
ejpam-6232	60	14	the	the	DET
ejpam-6232	60	15	cf	cf	NOUN
ejpam-6232	60	16	heat	heat	NOUN
ejpam-6232	60	17	equation	equation	NOUN
ejpam-6232	60	18	to	to	ADP
ejpam-6232	60	19	the	the	DET
ejpam-6232	60	20	cif	cif	PROPN
ejpam-6232	60	21	heat	heat	NOUN
ejpam-6232	60	22	equation	equation	NOUN
ejpam-6232	60	23	.	.	PUNCT
ejpam-6232	61	1	to	to	ADP
ejpam-6232	61	2	the	the	DET
ejpam-6232	61	3	best	good	ADJ
ejpam-6232	61	4	of	of	ADP
ejpam-6232	61	5	our	our	PRON
ejpam-6232	61	6	knowledge	knowledge	NOUN
ejpam-6232	61	7	,	,	PUNCT
ejpam-6232	61	8	this	this	PRON
ejpam-6232	61	9	is	be	AUX
ejpam-6232	61	10	the	the	DET
ejpam-6232	61	11	first	first	ADJ
ejpam-6232	61	12	attempt	attempt	NOUN
ejpam-6232	61	13	to	to	PART
ejpam-6232	61	14	integrate	integrate	VERB
ejpam-6232	61	15	complex	complex	ADV
ejpam-6232	61	16	-	-	PUNCT
ejpam-6232	61	17	valued	value	VERB
ejpam-6232	61	18	and	and	CCONJ
ejpam-6232	61	19	intuitionistic	intuitionistic	ADJ
ejpam-6232	61	20	fuzzy	fuzzy	ADJ
ejpam-6232	61	21	uncertainty	uncertainty	NOUN
ejpam-6232	61	22	into	into	ADP
ejpam-6232	61	23	a	a	DET
ejpam-6232	61	24	heat	heat	NOUN
ejpam-6232	61	25	conduction	conduction	NOUN
ejpam-6232	61	26	modeling	modeling	NOUN
ejpam-6232	61	27	framework	framework	NOUN
ejpam-6232	61	28	.	.	PUNCT
ejpam-6232	62	1	second	second	ADJ
ejpam-6232	62	2	,	,	PUNCT
ejpam-6232	62	3	the	the	DET
ejpam-6232	62	4	paper	paper	NOUN
ejpam-6232	62	5	formulates	formulate	VERB
ejpam-6232	62	6	the	the	DET
ejpam-6232	62	7	cif	cif	PROPN
ejpam-6232	62	8	heat	heat	NOUN
ejpam-6232	62	9	equation	equation	NOUN
ejpam-6232	62	10	under	under	ADP
ejpam-6232	62	11	cif	cif	PROPN
ejpam-6232	62	12	boundary	boundary	ADJ
ejpam-6232	62	13	conditions	condition	NOUN
ejpam-6232	62	14	and	and	CCONJ
ejpam-6232	62	15	proposes	propose	VERB
ejpam-6232	62	16	a	a	DET
ejpam-6232	62	17	numerical	numerical	ADJ
ejpam-6232	62	18	solution	solution	NOUN
ejpam-6232	62	19	using	use	VERB
ejpam-6232	62	20	a	a	DET
ejpam-6232	62	21	modified	modified	ADJ
ejpam-6232	62	22	crank	crank	NOUN
ejpam-6232	62	23	–	–	PUNCT
ejpam-6232	62	24	nicolson	nicolson	PROPN
ejpam-6232	62	25	scheme	scheme	NOUN
ejpam-6232	62	26	adapted	adapt	VERB
ejpam-6232	62	27	to	to	ADP
ejpam-6232	62	28	this	this	DET
ejpam-6232	62	29	new	new	ADJ
ejpam-6232	62	30	setting	setting	NOUN
ejpam-6232	62	31	.	.	PUNCT
ejpam-6232	63	1	it	it	PRON
ejpam-6232	63	2	also	also	ADV
ejpam-6232	63	3	generalizes	generalize	VERB
ejpam-6232	63	4	the	the	DET
ejpam-6232	63	5	concept	concept	NOUN
ejpam-6232	63	6	of	of	ADP
ejpam-6232	63	7	hukuhara	hukuhara	ADJ
ejpam-6232	63	8	differentiability	differentiability	NOUN
ejpam-6232	63	9	to	to	ADP
ejpam-6232	63	10	cif	cif	PROPN
ejpam-6232	63	11	-	-	PUNCT
ejpam-6232	63	12	valued	value	VERB
ejpam-6232	63	13	functions	function	NOUN
ejpam-6232	63	14	.	.	PUNCT
ejpam-6232	64	1	third	third	ADJ
ejpam-6232	64	2	,	,	PUNCT
ejpam-6232	64	3	the	the	DET
ejpam-6232	64	4	proposed	propose	VERB
ejpam-6232	64	5	model	model	NOUN
ejpam-6232	64	6	effectively	effectively	ADV
ejpam-6232	64	7	captures	capture	VERB
ejpam-6232	64	8	multiple	multiple	ADJ
ejpam-6232	64	9	layers	layer	NOUN
ejpam-6232	64	10	of	of	ADP
ejpam-6232	64	11	uncertainty	uncertainty	NOUN
ejpam-6232	64	12	-	-	PUNCT
ejpam-6232	64	13	namely	namely	ADV
ejpam-6232	64	14	magnitude	magnitude	NOUN
ejpam-6232	64	15	uncertainty	uncertainty	NOUN
ejpam-6232	64	16	,	,	PUNCT
ejpam-6232	64	17	phase	phase	NOUN
ejpam-6232	64	18	variation	variation	NOUN
ejpam-6232	64	19	,	,	PUNCT
ejpam-6232	64	20	and	and	CCONJ
ejpam-6232	64	21	hesitation	hesitation	NOUN
ejpam-6232	64	22	(	(	PUNCT
ejpam-6232	64	23	incompleteness)-offering	incompleteness)-offere	VERB
ejpam-6232	64	24	a	a	DET
ejpam-6232	64	25	richer	rich	ADJ
ejpam-6232	64	26	and	and	CCONJ
ejpam-6232	64	27	more	more	ADV
ejpam-6232	64	28	expressive	expressive	ADJ
ejpam-6232	64	29	framework	framework	NOUN
ejpam-6232	64	30	for	for	ADP
ejpam-6232	64	31	modeling	model	VERB
ejpam-6232	64	32	real	real	ADJ
ejpam-6232	64	33	-	-	PUNCT
ejpam-6232	64	34	world	world	NOUN
ejpam-6232	64	35	thermal	thermal	ADJ
ejpam-6232	64	36	systems	system	NOUN
ejpam-6232	64	37	under	under	ADP
ejpam-6232	64	38	deep	deep	ADJ
ejpam-6232	64	39	uncertainty	uncertainty	NOUN
ejpam-6232	64	40	.	.	PUNCT
ejpam-6232	65	1	the	the	DET
ejpam-6232	65	2	implications	implication	NOUN
ejpam-6232	65	3	of	of	ADP
ejpam-6232	65	4	the	the	DET
ejpam-6232	65	5	current	current	ADJ
ejpam-6232	65	6	research	research	NOUN
ejpam-6232	65	7	can	can	AUX
ejpam-6232	65	8	be	be	AUX
ejpam-6232	65	9	viewed	view	VERB
ejpam-6232	65	10	from	from	ADP
ejpam-6232	65	11	both	both	CCONJ
ejpam-6232	65	12	theoretical	theoretical	ADJ
ejpam-6232	65	13	and	and	CCONJ
ejpam-6232	65	14	methodological	methodological	ADJ
ejpam-6232	65	15	perspectives	perspective	NOUN
ejpam-6232	65	16	.	.	PUNCT
ejpam-6232	66	1	from	from	ADP
ejpam-6232	66	2	a	a	DET
ejpam-6232	66	3	theoretical	theoretical	ADJ
ejpam-6232	66	4	standpoint	standpoint	NOUN
ejpam-6232	66	5	,	,	PUNCT
ejpam-6232	66	6	the	the	DET
ejpam-6232	66	7	study	study	NOUN
ejpam-6232	66	8	contributes	contribute	VERB
ejpam-6232	66	9	to	to	ADP
ejpam-6232	66	10	a.	a.	PROPN
ejpam-6232	66	11	u.	u.	PROPN
ejpam-6232	66	12	alkouri	alkouri	PROPN
ejpam-6232	66	13	et	et	PROPN
ejpam-6232	66	14	al	al	PROPN
ejpam-6232	66	15	.	.	PUNCT
ejpam-6232	66	16	/	/	SYM
ejpam-6232	66	17	eur	eur	PROPN
ejpam-6232	66	18	.	.	PUNCT
ejpam-6232	67	1	j.	j.	PROPN
ejpam-6232	67	2	pure	pure	PROPN
ejpam-6232	67	3	appl	appl	PROPN
ejpam-6232	67	4	.	.	PROPN
ejpam-6232	67	5	math	math	PROPN
ejpam-6232	67	6	,	,	PUNCT
ejpam-6232	67	7	18	18	NUM
ejpam-6232	67	8	(	(	PUNCT
ejpam-6232	67	9	3	3	NUM
ejpam-6232	67	10	)	)	PUNCT
ejpam-6232	67	11	(	(	PUNCT
ejpam-6232	67	12	2025	2025	NUM
ejpam-6232	67	13	)	)	PUNCT
ejpam-6232	67	14	,	,	PUNCT
ejpam-6232	67	15	6232	6232	NUM
ejpam-6232	67	16	4	4	NUM
ejpam-6232	67	17	of	of	ADP
ejpam-6232	67	18	15	15	NUM
ejpam-6232	67	19	the	the	DET
ejpam-6232	67	20	advancement	advancement	NOUN
ejpam-6232	67	21	of	of	ADP
ejpam-6232	67	22	fuzzy	fuzzy	ADJ
ejpam-6232	67	23	differential	differential	ADJ
ejpam-6232	67	24	equations	equation	NOUN
ejpam-6232	67	25	by	by	ADP
ejpam-6232	67	26	introducing	introduce	VERB
ejpam-6232	67	27	the	the	DET
ejpam-6232	67	28	cif	cif	PROPN
ejpam-6232	67	29	heat	heat	NOUN
ejpam-6232	67	30	equation	equation	NOUN
ejpam-6232	67	31	,	,	PUNCT
ejpam-6232	67	32	which	which	PRON
ejpam-6232	67	33	integrates	integrate	VERB
ejpam-6232	67	34	the	the	DET
ejpam-6232	67	35	strengths	strength	NOUN
ejpam-6232	67	36	of	of	ADP
ejpam-6232	67	37	cfs	cfs	PROPN
ejpam-6232	67	38	with	with	ADP
ejpam-6232	67	39	intuitionistic	intuitionistic	ADJ
ejpam-6232	67	40	fuzzy	fuzzy	ADJ
ejpam-6232	67	41	logic	logic	NOUN
ejpam-6232	67	42	.	.	PUNCT
ejpam-6232	68	1	furthermore	furthermore	ADV
ejpam-6232	68	2	,	,	PUNCT
ejpam-6232	68	3	it	it	PRON
ejpam-6232	68	4	presents	present	VERB
ejpam-6232	68	5	a	a	DET
ejpam-6232	68	6	new	new	ADJ
ejpam-6232	68	7	class	class	NOUN
ejpam-6232	68	8	of	of	ADP
ejpam-6232	68	9	solutions	solution	NOUN
ejpam-6232	68	10	involving	involve	VERB
ejpam-6232	68	11	cif	cif	PROPN
ejpam-6232	68	12	-	-	PUNCT
ejpam-6232	68	13	valued	value	VERB
ejpam-6232	68	14	functions	function	NOUN
ejpam-6232	68	15	and	and	CCONJ
ejpam-6232	68	16	extends	extend	VERB
ejpam-6232	68	17	the	the	DET
ejpam-6232	68	18	concept	concept	NOUN
ejpam-6232	68	19	of	of	ADP
ejpam-6232	68	20	hukuhara	hukuhara	ADV
ejpam-6232	68	21	differentiability	differentiability	NOUN
ejpam-6232	68	22	to	to	ADP
ejpam-6232	68	23	a	a	DET
ejpam-6232	68	24	more	more	ADV
ejpam-6232	68	25	expressive	expressive	ADJ
ejpam-6232	68	26	and	and	CCONJ
ejpam-6232	68	27	generalized	generalized	ADJ
ejpam-6232	68	28	setting	setting	NOUN
ejpam-6232	68	29	.	.	PUNCT
ejpam-6232	69	1	additionally	additionally	ADV
ejpam-6232	69	2	,	,	PUNCT
ejpam-6232	69	3	it	it	PRON
ejpam-6232	69	4	opens	open	VERB
ejpam-6232	69	5	new	new	ADJ
ejpam-6232	69	6	research	research	NOUN
ejpam-6232	69	7	directions	direction	NOUN
ejpam-6232	69	8	for	for	ADP
ejpam-6232	69	9	addressing	address	VERB
ejpam-6232	69	10	higher	high	ADJ
ejpam-6232	69	11	-	-	PUNCT
ejpam-6232	69	12	order	order	NOUN
ejpam-6232	69	13	uncertainties	uncertainty	NOUN
ejpam-6232	69	14	,	,	PUNCT
ejpam-6232	69	15	where	where	SCONJ
ejpam-6232	69	16	amplitude	amplitude	NOUN
ejpam-6232	69	17	,	,	PUNCT
ejpam-6232	69	18	phase	phase	NOUN
ejpam-6232	69	19	,	,	PUNCT
ejpam-6232	69	20	and	and	CCONJ
ejpam-6232	69	21	hesitation	hesitation	NOUN
ejpam-6232	69	22	coexist	coexist	NOUN
ejpam-6232	69	23	—	—	PUNCT
ejpam-6232	69	24	offering	offer	VERB
ejpam-6232	69	25	a	a	DET
ejpam-6232	69	26	mathematically	mathematically	ADV
ejpam-6232	69	27	richer	rich	ADJ
ejpam-6232	69	28	framework	framework	NOUN
ejpam-6232	69	29	for	for	ADP
ejpam-6232	69	30	future	future	ADJ
ejpam-6232	69	31	developments	development	NOUN
ejpam-6232	69	32	.	.	PUNCT
ejpam-6232	70	1	from	from	ADP
ejpam-6232	70	2	a	a	DET
ejpam-6232	70	3	methodological	methodological	ADJ
ejpam-6232	70	4	perspective	perspective	NOUN
ejpam-6232	70	5	,	,	PUNCT
ejpam-6232	70	6	the	the	DET
ejpam-6232	70	7	study	study	NOUN
ejpam-6232	70	8	demonstrates	demonstrate	VERB
ejpam-6232	70	9	how	how	SCONJ
ejpam-6232	70	10	classical	classical	ADJ
ejpam-6232	70	11	numerical	numerical	ADJ
ejpam-6232	70	12	schemes	scheme	NOUN
ejpam-6232	70	13	can	can	AUX
ejpam-6232	70	14	be	be	AUX
ejpam-6232	70	15	adapted	adapt	VERB
ejpam-6232	70	16	to	to	PART
ejpam-6232	70	17	solve	solve	VERB
ejpam-6232	70	18	partial	partial	ADJ
ejpam-6232	70	19	differential	differential	ADJ
ejpam-6232	70	20	equations	equation	NOUN
ejpam-6232	70	21	under	under	ADP
ejpam-6232	70	22	complex	complex	ADJ
ejpam-6232	70	23	intuitionistic	intuitionistic	ADJ
ejpam-6232	70	24	fuzzy	fuzzy	ADJ
ejpam-6232	70	25	conditions	condition	NOUN
ejpam-6232	70	26	,	,	PUNCT
ejpam-6232	70	27	thereby	thereby	ADV
ejpam-6232	70	28	broadening	broaden	VERB
ejpam-6232	70	29	the	the	DET
ejpam-6232	70	30	applicability	applicability	NOUN
ejpam-6232	70	31	of	of	ADP
ejpam-6232	70	32	traditional	traditional	ADJ
ejpam-6232	70	33	solvers	solver	NOUN
ejpam-6232	70	34	in	in	ADP
ejpam-6232	70	35	uncertain	uncertain	ADJ
ejpam-6232	70	36	environments	environment	NOUN
ejpam-6232	70	37	.	.	PUNCT
ejpam-6232	71	1	moreover	moreover	ADV
ejpam-6232	71	2	,	,	PUNCT
ejpam-6232	71	3	this	this	DET
ejpam-6232	71	4	work	work	NOUN
ejpam-6232	71	5	lays	lay	VERB
ejpam-6232	71	6	the	the	DET
ejpam-6232	71	7	foundation	foundation	NOUN
ejpam-6232	71	8	for	for	ADP
ejpam-6232	71	9	integrating	integrate	VERB
ejpam-6232	71	10	the	the	DET
ejpam-6232	71	11	proposed	propose	VERB
ejpam-6232	71	12	framework	framework	NOUN
ejpam-6232	71	13	with	with	ADP
ejpam-6232	71	14	time	time	NOUN
ejpam-6232	71	15	-	-	PUNCT
ejpam-6232	71	16	fractional	fractional	ADJ
ejpam-6232	71	17	derivatives	derivative	NOUN
ejpam-6232	71	18	,	,	PUNCT
ejpam-6232	71	19	stochastic	stochastic	ADJ
ejpam-6232	71	20	modeling	modeling	NOUN
ejpam-6232	71	21	,	,	PUNCT
ejpam-6232	71	22	and	and	CCONJ
ejpam-6232	71	23	hybrid	hybrid	ADJ
ejpam-6232	71	24	intelligent	intelligent	ADJ
ejpam-6232	71	25	systems	system	NOUN
ejpam-6232	71	26	in	in	ADP
ejpam-6232	71	27	future	future	ADJ
ejpam-6232	71	28	research	research	NOUN
ejpam-6232	71	29	.	.	PUNCT
ejpam-6232	72	1	it	it	PRON
ejpam-6232	72	2	is	be	AUX
ejpam-6232	72	3	well	well	ADV
ejpam-6232	72	4	known	know	VERB
ejpam-6232	72	5	that	that	SCONJ
ejpam-6232	72	6	values	value	NOUN
ejpam-6232	72	7	in	in	ADP
ejpam-6232	72	8	the	the	DET
ejpam-6232	72	9	interval	interval	NOUN
ejpam-6232	72	10	[	[	X
ejpam-6232	72	11	0	0	NUM
ejpam-6232	72	12	,	,	PUNCT
ejpam-6232	72	13	1	1	NUM
ejpam-6232	72	14	]	]	PUNCT
ejpam-6232	72	15	represent	represent	VERB
ejpam-6232	72	16	the	the	DET
ejpam-6232	72	17	fuzzification	fuzzification	NOUN
ejpam-6232	72	18	used	use	VERB
ejpam-6232	72	19	in	in	ADP
ejpam-6232	72	20	fuzzy	fuzzy	ADJ
ejpam-6232	72	21	heat	heat	NOUN
ejpam-6232	72	22	or	or	CCONJ
ejpam-6232	72	23	diffusion	diffusion	NOUN
ejpam-6232	72	24	equations	equation	NOUN
ejpam-6232	72	25	.	.	PUNCT
ejpam-6232	73	1	the	the	DET
ejpam-6232	73	2	objective	objective	NOUN
ejpam-6232	73	3	of	of	ADP
ejpam-6232	73	4	the	the	DET
ejpam-6232	73	5	current	current	ADJ
ejpam-6232	73	6	research	research	NOUN
ejpam-6232	73	7	is	be	AUX
ejpam-6232	73	8	to	to	PART
ejpam-6232	73	9	extend	extend	VERB
ejpam-6232	73	10	this	this	DET
ejpam-6232	73	11	concept	concept	NOUN
ejpam-6232	73	12	by	by	ADP
ejpam-6232	73	13	focusing	focus	VERB
ejpam-6232	73	14	on	on	ADP
ejpam-6232	73	15	the	the	DET
ejpam-6232	73	16	fuzzification	fuzzification	NOUN
ejpam-6232	73	17	of	of	ADP
ejpam-6232	73	18	the	the	DET
ejpam-6232	73	19	cif	cif	PROPN
ejpam-6232	73	20	heat	heat	NOUN
ejpam-6232	73	21	equation	equation	NOUN
ejpam-6232	73	22	,	,	PUNCT
ejpam-6232	73	23	which	which	PRON
ejpam-6232	73	24	is	be	AUX
ejpam-6232	73	25	characterized	characterize	VERB
ejpam-6232	73	26	by	by	ADP
ejpam-6232	73	27	two	two	NUM
ejpam-6232	73	28	distinct	distinct	ADJ
ejpam-6232	73	29	components	component	NOUN
ejpam-6232	73	30	:	:	PUNCT
ejpam-6232	73	31	the	the	DET
ejpam-6232	73	32	amplitude	amplitude	NOUN
ejpam-6232	73	33	and	and	CCONJ
ejpam-6232	73	34	phase	phase	NOUN
ejpam-6232	73	35	terms	term	NOUN
ejpam-6232	73	36	within	within	ADP
ejpam-6232	73	37	the	the	DET
ejpam-6232	73	38	unit	unit	NOUN
ejpam-6232	73	39	disk	disk	NOUN
ejpam-6232	73	40	in	in	ADP
ejpam-6232	73	41	the	the	DET
ejpam-6232	73	42	complex	complex	ADJ
ejpam-6232	73	43	plane	plane	NOUN
ejpam-6232	73	44	c.	c.	NOUN
ejpam-6232	73	45	this	this	DET
ejpam-6232	73	46	approach	approach	NOUN
ejpam-6232	73	47	aims	aim	VERB
ejpam-6232	73	48	to	to	PART
ejpam-6232	73	49	provide	provide	VERB
ejpam-6232	73	50	a	a	DET
ejpam-6232	73	51	generalization	generalization	NOUN
ejpam-6232	73	52	and	and	CCONJ
ejpam-6232	73	53	improved	improved	ADJ
ejpam-6232	73	54	accuracy	accuracy	NOUN
ejpam-6232	73	55	for	for	ADP
ejpam-6232	73	56	solving	solve	VERB
ejpam-6232	73	57	intuitionistic	intuitionistic	ADJ
ejpam-6232	73	58	fuzzy	fuzzy	ADJ
ejpam-6232	73	59	heat	heat	NOUN
ejpam-6232	73	60	equations	equation	NOUN
ejpam-6232	73	61	,	,	PUNCT
ejpam-6232	73	62	considering	consider	VERB
ejpam-6232	73	63	the	the	DET
ejpam-6232	73	64	novel	novel	ADJ
ejpam-6232	73	65	semantics	semantic	NOUN
ejpam-6232	73	66	of	of	ADP
ejpam-6232	73	67	periodicity	periodicity	NOUN
ejpam-6232	73	68	embedded	embed	VERB
ejpam-6232	73	69	within	within	ADP
ejpam-6232	73	70	cif	cif	PROPN
ejpam-6232	73	71	information	information	NOUN
ejpam-6232	73	72	,	,	PUNCT
ejpam-6232	73	73	as	as	SCONJ
ejpam-6232	73	74	discussed	discuss	VERB
ejpam-6232	73	75	in	in	ADP
ejpam-6232	73	76	[	[	X
ejpam-6232	73	77	27].the	27].the	PRON
ejpam-6232	73	78	following	follow	VERB
ejpam-6232	73	79	flowchart	flowchart	PROPN
ejpam-6232	73	80	figuer	figuer	PROPN
ejpam-6232	73	81	1	1	NUM
ejpam-6232	73	82	illustrates	illustrate	VERB
ejpam-6232	73	83	the	the	DET
ejpam-6232	73	84	modeling	modeling	NOUN
ejpam-6232	73	85	framework	framework	NOUN
ejpam-6232	73	86	proposed	propose	VERB
ejpam-6232	73	87	in	in	ADP
ejpam-6232	73	88	this	this	DET
ejpam-6232	73	89	research	research	NOUN
ejpam-6232	73	90	.	.	PUNCT
ejpam-6232	74	1	figure	figure	NOUN
ejpam-6232	74	2	1	1	NUM
ejpam-6232	74	3	:	:	PUNCT
ejpam-6232	74	4	modeling	model	VERB
ejpam-6232	74	5	framework	framework	NOUN
ejpam-6232	74	6	a.	a.	PROPN
ejpam-6232	74	7	u.	u.	PROPN
ejpam-6232	74	8	alkouri	alkouri	PROPN
ejpam-6232	74	9	et	et	PROPN
ejpam-6232	74	10	al	al	PROPN
ejpam-6232	74	11	.	.	PUNCT
ejpam-6232	74	12	/	/	SYM
ejpam-6232	74	13	eur	eur	PROPN
ejpam-6232	74	14	.	.	PUNCT
ejpam-6232	75	1	j.	j.	PROPN
ejpam-6232	75	2	pure	pure	PROPN
ejpam-6232	75	3	appl	appl	PROPN
ejpam-6232	75	4	.	.	PROPN
ejpam-6232	75	5	math	math	PROPN
ejpam-6232	75	6	,	,	PUNCT
ejpam-6232	75	7	18	18	NUM
ejpam-6232	75	8	(	(	PUNCT
ejpam-6232	75	9	3	3	NUM
ejpam-6232	75	10	)	)	PUNCT
ejpam-6232	75	11	(	(	PUNCT
ejpam-6232	75	12	2025	2025	NUM
ejpam-6232	75	13	)	)	PUNCT
ejpam-6232	75	14	,	,	PUNCT
ejpam-6232	75	15	6232	6232	NUM
ejpam-6232	75	16	5	5	NUM
ejpam-6232	75	17	of	of	ADP
ejpam-6232	75	18	15	15	NUM
ejpam-6232	75	19	2	2	NUM
ejpam-6232	75	20	.	.	PUNCT
ejpam-6232	75	21	complex	complex	ADJ
ejpam-6232	75	22	intuitionistic	intuitionistic	ADJ
ejpam-6232	75	23	fuzzy	fuzzy	ADJ
ejpam-6232	75	24	heat	heat	NOUN
ejpam-6232	75	25	equation	equation	NOUN
ejpam-6232	75	26	at	at	ADP
ejpam-6232	75	27	this	this	DET
ejpam-6232	75	28	stage	stage	NOUN
ejpam-6232	75	29	,	,	PUNCT
ejpam-6232	75	30	we	we	PRON
ejpam-6232	75	31	consider	consider	VERB
ejpam-6232	75	32	the	the	DET
ejpam-6232	75	33	general	general	ADJ
ejpam-6232	75	34	form	form	NOUN
ejpam-6232	75	35	of	of	ADP
ejpam-6232	75	36	the	the	DET
ejpam-6232	75	37	one	one	NUM
ejpam-6232	75	38	-	-	PUNCT
ejpam-6232	75	39	dimensional	dimensional	ADJ
ejpam-6232	75	40	fuzzy	fuzzy	ADJ
ejpam-6232	75	41	heat	heat	NOUN
ejpam-6232	75	42	equation	equation	NOUN
ejpam-6232	75	43	[	[	X
ejpam-6232	75	44	34	34	NUM
ejpam-6232	75	45	]	]	X
ejpam-6232	75	46	:	:	PUNCT
ejpam-6232	75	47	∂ũ(ξ	∂ũ(ξ	PROPN
ejpam-6232	75	48	,	,	PUNCT
ejpam-6232	75	49	t	t	PROPN
ejpam-6232	75	50	)	)	PUNCT
ejpam-6232	75	51	∂t	∂t	PROPN
ejpam-6232	75	52	=	=	SYM
ejpam-6232	75	53	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	75	54	,	,	PUNCT
ejpam-6232	75	55	t	t	PROPN
ejpam-6232	75	56	)	)	PUNCT
ejpam-6232	75	57	∂2ũ(ξ	∂2ũ(ξ	PROPN
ejpam-6232	75	58	,	,	PUNCT
ejpam-6232	75	59	t	t	PROPN
ejpam-6232	75	60	)	)	PUNCT
ejpam-6232	75	61	∂ξ2	∂ξ2	PROPN
ejpam-6232	76	1	+	+	PROPN
ejpam-6232	76	2	b̃(ξ	b̃(ξ	PROPN
ejpam-6232	76	3	,	,	PUNCT
ejpam-6232	76	4	t	t	PROPN
ejpam-6232	76	5	)	)	PUNCT
ejpam-6232	76	6	,	,	PUNCT
ejpam-6232	76	7	0	0	PUNCT
ejpam-6232	76	8	<	<	X
ejpam-6232	76	9	ξ	ξ	X
ejpam-6232	76	10	<	<	X
ejpam-6232	76	11	l	l	PROPN
ejpam-6232	76	12	,	,	PUNCT
ejpam-6232	76	13	t	t	X
ejpam-6232	76	14	>	>	X
ejpam-6232	76	15	0	0	PUNCT
ejpam-6232	77	1	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	77	2	,	,	PUNCT
ejpam-6232	77	3	0	0	NUM
ejpam-6232	77	4	)	)	PUNCT
ejpam-6232	77	5	=	=	SYM
ejpam-6232	77	6	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	77	7	)	)	PUNCT
ejpam-6232	77	8	,	,	PUNCT
ejpam-6232	77	9	ũ(0	ũ(0	PRON
ejpam-6232	77	10	,	,	PUNCT
ejpam-6232	77	11	t	t	NOUN
ejpam-6232	77	12	)	)	PUNCT
ejpam-6232	77	13	=	=	SYM
ejpam-6232	77	14	g̃(t	g̃(t	PROPN
ejpam-6232	77	15	)	)	PUNCT
ejpam-6232	77	16	,	,	PUNCT
ejpam-6232	77	17	ũ(l	ũ(l	PROPN
ejpam-6232	77	18	,	,	PUNCT
ejpam-6232	77	19	t	t	PROPN
ejpam-6232	77	20	)	)	PUNCT
ejpam-6232	77	21	=	=	SYM
ejpam-6232	77	22	z̃(t	z̃(t	PROPN
ejpam-6232	77	23	)	)	PUNCT
ejpam-6232	77	24	(	(	PUNCT
ejpam-6232	77	25	1	1	X
ejpam-6232	77	26	)	)	PUNCT
ejpam-6232	77	27	such	such	ADJ
ejpam-6232	77	28	that	that	SCONJ
ejpam-6232	77	29	:	:	PUNCT
ejpam-6232	77	30	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	77	31	,	,	PUNCT
ejpam-6232	77	32	t	t	PROPN
ejpam-6232	77	33	):	):	PUNCT
ejpam-6232	77	34	is	be	AUX
ejpam-6232	77	35	the	the	DET
ejpam-6232	77	36	unknown	unknown	ADJ
ejpam-6232	77	37	fuzzy	fuzzy	ADJ
ejpam-6232	77	38	function	function	NOUN
ejpam-6232	77	39	at	at	ADP
ejpam-6232	77	40	ξ	ξ	PROPN
ejpam-6232	77	41	and	and	CCONJ
ejpam-6232	77	42	t	t	PROPN
ejpam-6232	77	43	variables	variable	NOUN
ejpam-6232	77	44	.	.	PUNCT
ejpam-6232	78	1	∂ũ(ξ	∂ũ(ξ	PROPN
ejpam-6232	78	2	,	,	PUNCT
ejpam-6232	78	3	t	t	PROPN
ejpam-6232	78	4	)	)	PUNCT
ejpam-6232	78	5	∂t	∂t	PROPN
ejpam-6232	78	6	,	,	PUNCT
ejpam-6232	78	7	∂	∂	NUM
ejpam-6232	78	8	2ũ(ξ	2ũ(ξ	NUM
ejpam-6232	78	9	,	,	PUNCT
ejpam-6232	78	10	t	t	PROPN
ejpam-6232	78	11	)	)	PUNCT
ejpam-6232	78	12	∂ξ2	∂ξ2	PROPN
ejpam-6232	78	13	:	:	PUNCT
ejpam-6232	78	14	are	be	AUX
ejpam-6232	78	15	the	the	DET
ejpam-6232	78	16	first	first	ADJ
ejpam-6232	78	17	order	order	NOUN
ejpam-6232	78	18	and	and	CCONJ
ejpam-6232	78	19	the	the	DET
ejpam-6232	78	20	second	second	ADJ
ejpam-6232	78	21	order	order	NOUN
ejpam-6232	78	22	fuzzy	fuzzy	ADJ
ejpam-6232	78	23	partial	partial	ADJ
ejpam-6232	78	24	spatial	spatial	ADJ
ejpam-6232	78	25	derivatives	derivative	NOUN
ejpam-6232	78	26	with	with	ADP
ejpam-6232	78	27	involving	involve	VERB
ejpam-6232	78	28	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	78	29	,	,	PUNCT
ejpam-6232	78	30	t	t	PROPN
ejpam-6232	78	31	)	)	PUNCT
ejpam-6232	78	32	and	and	CCONJ
ejpam-6232	78	33	b̃(ξ	b̃(ξ	PROPN
ejpam-6232	78	34	,	,	PUNCT
ejpam-6232	78	35	t	t	PROPN
ejpam-6232	78	36	)	)	PUNCT
ejpam-6232	78	37	are	be	AUX
ejpam-6232	78	38	known	know	VERB
ejpam-6232	78	39	fuzzy	fuzzy	ADJ
ejpam-6232	78	40	functions	function	NOUN
ejpam-6232	78	41	.	.	PUNCT
ejpam-6232	79	1	also	also	ADV
ejpam-6232	79	2	,	,	PUNCT
ejpam-6232	79	3	ũ(0	ũ(0	PRON
ejpam-6232	79	4	,	,	PUNCT
ejpam-6232	79	5	t	t	PROPN
ejpam-6232	79	6	)	)	PUNCT
ejpam-6232	79	7	and	and	CCONJ
ejpam-6232	79	8	ũ(l	ũ(l	PROPN
ejpam-6232	79	9	,	,	PUNCT
ejpam-6232	79	10	t	t	PROPN
ejpam-6232	79	11	)	)	PUNCT
ejpam-6232	79	12	are	be	AUX
ejpam-6232	79	13	the	the	DET
ejpam-6232	79	14	fuzzy	fuzzy	ADJ
ejpam-6232	79	15	known	know	VERB
ejpam-6232	79	16	boundary	boundary	ADJ
ejpam-6232	79	17	conditions	condition	NOUN
ejpam-6232	79	18	and	and	CCONJ
ejpam-6232	79	19	the	the	DET
ejpam-6232	79	20	ũ(0	ũ(0	ADJ
ejpam-6232	79	21	,	,	PUNCT
ejpam-6232	79	22	ξ	ξ	NOUN
ejpam-6232	79	23	)	)	PUNCT
ejpam-6232	79	24	is	be	AUX
ejpam-6232	79	25	the	the	DET
ejpam-6232	79	26	fuzzy	fuzzy	ADJ
ejpam-6232	79	27	known	know	VERB
ejpam-6232	79	28	initial	initial	ADJ
ejpam-6232	79	29	condition	condition	NOUN
ejpam-6232	79	30	,	,	PUNCT
ejpam-6232	79	31	where	where	SCONJ
ejpam-6232	79	32	the	the	DET
ejpam-6232	79	33	range	range	NOUN
ejpam-6232	79	34	of	of	ADP
ejpam-6232	79	35	the	the	DET
ejpam-6232	79	36	given	give	VERB
ejpam-6232	79	37	functions	function	NOUN
ejpam-6232	79	38	is	be	AUX
ejpam-6232	79	39	confined	confine	VERB
ejpam-6232	79	40	to	to	ADP
ejpam-6232	79	41	the	the	DET
ejpam-6232	79	42	unit	unit	NOUN
ejpam-6232	79	43	disk	disk	NOUN
ejpam-6232	79	44	in	in	ADP
ejpam-6232	79	45	c.	c.	PROPN
ejpam-6232	79	46	the	the	DET
ejpam-6232	79	47	fuzzy	fuzzy	ADJ
ejpam-6232	79	48	heat	heat	NOUN
ejpam-6232	79	49	equation	equation	NOUN
ejpam-6232	79	50	in	in	ADP
ejpam-6232	79	51	eq	eq	NOUN
ejpam-6232	79	52	.	.	PROPN
ejpam-6232	79	53	1	1	NUM
ejpam-6232	79	54	is	be	AUX
ejpam-6232	79	55	transform	transform	VERB
ejpam-6232	79	56	to	to	ADP
ejpam-6232	79	57	cf	cf	NOUN
ejpam-6232	79	58	heat	heat	NOUN
ejpam-6232	79	59	equation	equation	NOUN
ejpam-6232	79	60	:	:	PUNCT
ejpam-6232	80	1	[	[	X
ejpam-6232	80	2	33	33	NUM
ejpam-6232	80	3	]	]	PUNCT
ejpam-6232	80	4	:	:	PUNCT
ejpam-6232	80	5	∂ũ(ξ	∂ũ(ξ	PROPN
ejpam-6232	80	6	,	,	PUNCT
ejpam-6232	80	7	t;r	t;r	NOUN
ejpam-6232	80	8	,	,	PUNCT
ejpam-6232	80	9	θ	θ	NOUN
ejpam-6232	80	10	)	)	PUNCT
ejpam-6232	80	11	∂t	∂t	PROPN
ejpam-6232	80	12	=	=	SYM
ejpam-6232	80	13	[	[	PUNCT
ejpam-6232	80	14	q̃1(r	q̃1(r	NOUN
ejpam-6232	80	15	)	)	PUNCT
ejpam-6232	80	16	e	e	NOUN
ejpam-6232	80	17	iα	iα	ADP
ejpam-6232	80	18	w̃1(θ	w̃1(θ	NOUN
ejpam-6232	80	19	)	)	PUNCT
ejpam-6232	80	20	s1(ξ	s1(ξ	PROPN
ejpam-6232	80	21	,	,	PUNCT
ejpam-6232	80	22	t	t	PROPN
ejpam-6232	80	23	)	)	PUNCT
ejpam-6232	80	24	]	]	PUNCT
ejpam-6232	81	1	∂2ũ(ξ	∂2ũ(ξ	NOUN
ejpam-6232	81	2	,	,	PUNCT
ejpam-6232	81	3	t;r	t;r	NOUN
ejpam-6232	81	4	,	,	PUNCT
ejpam-6232	81	5	θ	θ	NOUN
ejpam-6232	81	6	)	)	PUNCT
ejpam-6232	81	7	∂ξ2	∂ξ2	NOUN
ejpam-6232	81	8	+	+	PUNCT
ejpam-6232	81	9	q̃2(r	q̃2(r	PROPN
ejpam-6232	81	10	)	)	PUNCT
ejpam-6232	81	11	e	e	NOUN
ejpam-6232	81	12	iα	iα	ADJ
ejpam-6232	81	13	w̃2(θ	w̃2(θ	PROPN
ejpam-6232	81	14	)	)	PUNCT
ejpam-6232	81	15	s2(ξ	s2(ξ	PROPN
ejpam-6232	81	16	,	,	PUNCT
ejpam-6232	81	17	t	t	PROPN
ejpam-6232	81	18	)	)	PUNCT
ejpam-6232	81	19	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	81	20	,	,	PUNCT
ejpam-6232	81	21	0	0	NUM
ejpam-6232	81	22	;	;	PUNCT
ejpam-6232	81	23	r	r	NOUN
ejpam-6232	81	24	,	,	PUNCT
ejpam-6232	81	25	θ	θ	NOUN
ejpam-6232	81	26	)	)	PUNCT
ejpam-6232	81	27	=	=	SYM
ejpam-6232	81	28	q̃3(r	q̃3(r	NOUN
ejpam-6232	81	29	)	)	PUNCT
ejpam-6232	81	30	e	e	NOUN
ejpam-6232	81	31	iα	iα	ADP
ejpam-6232	81	32	w̃3(θ	w̃3(θ	PROPN
ejpam-6232	81	33	)	)	PUNCT
ejpam-6232	81	34	s3(ξ	s3(ξ	NUM
ejpam-6232	81	35	)	)	PUNCT
ejpam-6232	81	36	ũ(0	ũ(0	PROPN
ejpam-6232	81	37	,	,	PUNCT
ejpam-6232	81	38	t	t	PROPN
ejpam-6232	81	39	;	;	PUNCT
ejpam-6232	81	40	r	r	NOUN
ejpam-6232	81	41	,	,	PUNCT
ejpam-6232	81	42	θ	θ	NOUN
ejpam-6232	81	43	)	)	PUNCT
ejpam-6232	81	44	=	=	SYM
ejpam-6232	81	45	q̃4(r	q̃4(r	NOUN
ejpam-6232	81	46	)	)	PUNCT
ejpam-6232	81	47	e	e	NOUN
ejpam-6232	81	48	iα	iα	PRON
ejpam-6232	81	49	w̃4(θ	w̃4(θ	PROPN
ejpam-6232	81	50	)	)	PUNCT
ejpam-6232	81	51	s4(t	s4(t	PROPN
ejpam-6232	81	52	)	)	PUNCT
ejpam-6232	81	53	,	,	PUNCT
ejpam-6232	81	54	ũ(l	ũ(l	PROPN
ejpam-6232	81	55	,	,	PUNCT
ejpam-6232	81	56	t	t	PROPN
ejpam-6232	81	57	;	;	PUNCT
ejpam-6232	81	58	r	r	NOUN
ejpam-6232	81	59	,	,	PUNCT
ejpam-6232	81	60	θ	θ	NOUN
ejpam-6232	81	61	)	)	PUNCT
ejpam-6232	81	62	=	=	SYM
ejpam-6232	81	63	q̃5(r	q̃5(r	PROPN
ejpam-6232	81	64	)	)	PUNCT
ejpam-6232	82	1	e	e	NOUN
ejpam-6232	82	2	iα	iα	INTJ
ejpam-6232	82	3	w̃5(θ	w̃5(θ	PROPN
ejpam-6232	82	4	)	)	PUNCT
ejpam-6232	83	1	s5(t	s5(t	NOUN
ejpam-6232	83	2	)	)	PUNCT
ejpam-6232	83	3	(	(	PUNCT
ejpam-6232	83	4	2	2	X
ejpam-6232	83	5	)	)	PUNCT
ejpam-6232	83	6	where	where	SCONJ
ejpam-6232	83	7	in	in	ADP
ejpam-6232	83	8	eq	eq	NOUN
ejpam-6232	83	9	.	.	PROPN
ejpam-6232	83	10	1	1	NUM
ejpam-6232	83	11	the	the	DET
ejpam-6232	83	12	cf	cf	NOUN
ejpam-6232	83	13	functions	function	NOUN
ejpam-6232	83	14	or	or	CCONJ
ejpam-6232	83	15	fuzzy	fuzzy	ADJ
ejpam-6232	83	16	parameters	parameter	NOUN
ejpam-6232	83	17	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	83	18	)	)	PUNCT
ejpam-6232	83	19	,	,	PUNCT
ejpam-6232	83	20	b̃(ξ	b̃(ξ	PROPN
ejpam-6232	83	21	)	)	PUNCT
ejpam-6232	83	22	,	,	PUNCT
ejpam-6232	83	23	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	83	24	)	)	PUNCT
ejpam-6232	83	25	,	,	PUNCT
ejpam-6232	83	26	g̃(t	g̃(t	PROPN
ejpam-6232	83	27	)	)	PUNCT
ejpam-6232	83	28	and	and	CCONJ
ejpam-6232	83	29	z̃(t	z̃(t	PROPN
ejpam-6232	83	30	)	)	PUNCT
ejpam-6232	83	31	are	be	AUX
ejpam-6232	83	32	being	be	AUX
ejpam-6232	83	33	cf	cf	NOUN
ejpam-6232	83	34	convex	convex	NOUN
ejpam-6232	83	35	normalized	normalize	VERB
ejpam-6232	83	36	numbers	number	NOUN
ejpam-6232	83	37	that	that	PRON
ejpam-6232	83	38	defined	define	VERB
ejpam-6232	83	39	as	as	ADP
ejpam-6232	83	40	following	follow	VERB
ejpam-6232	83	41	[	[	X
ejpam-6232	83	42	33].	33].	NUM
ejpam-6232	83	43	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	83	44	,	,	PUNCT
ejpam-6232	83	45	t	t	PROPN
ejpam-6232	83	46	)	)	PUNCT
ejpam-6232	83	47	=	=	SYM
ejpam-6232	84	1	q̃1	q̃1	PROPN
ejpam-6232	84	2	eiα	eiα	PROPN
ejpam-6232	84	3	w̃1	w̃1	PROPN
ejpam-6232	84	4	s1(ξ	s1(ξ	PROPN
ejpam-6232	84	5	,	,	PUNCT
ejpam-6232	84	6	t	t	NOUN
ejpam-6232	84	7	)	)	PUNCT
ejpam-6232	84	8	b̃(ξ	b̃(ξ	PROPN
ejpam-6232	84	9	,	,	PUNCT
ejpam-6232	84	10	t	t	PROPN
ejpam-6232	84	11	)	)	PUNCT
ejpam-6232	84	12	=	=	SYM
ejpam-6232	84	13	q̃2	q̃2	NOUN
ejpam-6232	84	14	eiα	eiα	NOUN
ejpam-6232	84	15	w̃2	w̃2	PROPN
ejpam-6232	84	16	s2(ξ	s2(ξ	PROPN
ejpam-6232	84	17	,	,	PUNCT
ejpam-6232	84	18	t	t	PROPN
ejpam-6232	84	19	)	)	PUNCT
ejpam-6232	84	20	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	84	21	)	)	PUNCT
ejpam-6232	84	22	=	=	PRON
ejpam-6232	85	1	q̃3	q̃3	PROPN
ejpam-6232	85	2	eiα	eiα	NOUN
ejpam-6232	85	3	w̃3	w̃3	PROPN
ejpam-6232	85	4	s3(ξ	s3(ξ	NOUN
ejpam-6232	85	5	)	)	PUNCT
ejpam-6232	85	6	g̃(t	g̃(t	PROPN
ejpam-6232	85	7	)	)	PUNCT
ejpam-6232	86	1	=	=	SYM
ejpam-6232	86	2	q̃4	q̃4	PROPN
ejpam-6232	86	3	eiα	eiα	NOUN
ejpam-6232	86	4	w̃4	w̃4	PROPN
ejpam-6232	86	5	s4(t	s4(t	PROPN
ejpam-6232	86	6	)	)	PUNCT
ejpam-6232	86	7	z̃(t	z̃(t	PROPN
ejpam-6232	86	8	)	)	PUNCT
ejpam-6232	87	1	=	=	SYM
ejpam-6232	87	2	q̃5	q̃5	NOUN
ejpam-6232	87	3	eiα	eiα	PROPN
ejpam-6232	87	4	w̃5	w̃5	PROPN
ejpam-6232	87	5	s5(t	s5(t	NOUN
ejpam-6232	87	6	)	)	PUNCT
ejpam-6232	87	7	where	where	SCONJ
ejpam-6232	87	8	s1(ξ	s1(ξ	PROPN
ejpam-6232	87	9	,	,	PUNCT
ejpam-6232	87	10	t	t	PROPN
ejpam-6232	87	11	)	)	PUNCT
ejpam-6232	87	12	,	,	PUNCT
ejpam-6232	87	13	s2(ξ	s2(ξ	PROPN
ejpam-6232	87	14	,	,	PUNCT
ejpam-6232	87	15	t	t	PROPN
ejpam-6232	87	16	)	)	PUNCT
ejpam-6232	87	17	,	,	PUNCT
ejpam-6232	87	18	s3(ξ	s3(ξ	NOUN
ejpam-6232	87	19	)	)	PUNCT
ejpam-6232	87	20	,	,	PUNCT
ejpam-6232	87	21	s4(t)and	s4(t)and	NUM
ejpam-6232	87	22	s5(t	s5(t	NOUN
ejpam-6232	87	23	)	)	PUNCT
ejpam-6232	87	24	are	be	AUX
ejpam-6232	87	25	known	know	VERB
ejpam-6232	87	26	crisp	crisp	ADJ
ejpam-6232	87	27	functions	function	NOUN
ejpam-6232	87	28	of	of	ADP
ejpam-6232	87	29	x	x	PUNCT
ejpam-6232	87	30	and	and	CCONJ
ejpam-6232	87	31	t	t	PROPN
ejpam-6232	87	32	variables	variable	NOUN
ejpam-6232	87	33	with	with	ADP
ejpam-6232	87	34	q̃1	q̃1	PROPN
ejpam-6232	87	35	,	,	PUNCT
ejpam-6232	87	36	q̃2	q̃2	PROPN
ejpam-6232	87	37	,	,	PUNCT
ejpam-6232	87	38	q̃3	q̃3	PROPN
ejpam-6232	87	39	,	,	PUNCT
ejpam-6232	87	40	q̃4	q̃4	PROPN
ejpam-6232	87	41	,	,	PUNCT
ejpam-6232	87	42	q̃5	q̃5	PROPN
ejpam-6232	87	43	,	,	PUNCT
ejpam-6232	87	44	w̃1	w̃1	PROPN
ejpam-6232	87	45	,	,	PUNCT
ejpam-6232	87	46	w̃2	w̃2	PROPN
ejpam-6232	87	47	,	,	PUNCT
ejpam-6232	87	48	w̃3	w̃3	PROPN
ejpam-6232	87	49	,	,	PUNCT
ejpam-6232	87	50	w̃4	w̃4	PROPN
ejpam-6232	87	51	,	,	PUNCT
ejpam-6232	87	52	and	and	CCONJ
ejpam-6232	87	53	w̃5	w̃5	PROPN
ejpam-6232	87	54	are	be	AUX
ejpam-6232	87	55	fuzzy	fuzzy	ADJ
ejpam-6232	87	56	normalized	normalize	VERB
ejpam-6232	87	57	convex	convex	NOUN
ejpam-6232	87	58	numbers	number	NOUN
ejpam-6232	87	59	.	.	PUNCT
ejpam-6232	88	1	now	now	ADV
ejpam-6232	88	2	,	,	PUNCT
ejpam-6232	88	3	the	the	DET
ejpam-6232	88	4	cf	cf	NOUN
ejpam-6232	88	5	heat	heat	NOUN
ejpam-6232	88	6	equation	equation	NOUN
ejpam-6232	88	7	in	in	ADP
ejpam-6232	88	8	eq	eq	NOUN
ejpam-6232	88	9	.	.	PROPN
ejpam-6232	88	10	2	2	NUM
ejpam-6232	88	11	is	be	AUX
ejpam-6232	88	12	generalized	generalize	VERB
ejpam-6232	88	13	to	to	PART
ejpam-6232	88	14	represent	represent	VERB
ejpam-6232	88	15	the	the	DET
ejpam-6232	88	16	general	general	ADJ
ejpam-6232	88	17	form	form	NOUN
ejpam-6232	88	18	of	of	ADP
ejpam-6232	88	19	the	the	DET
ejpam-6232	88	20	cif	cif	PROPN
ejpam-6232	88	21	heat	heat	NOUN
ejpam-6232	88	22	equation	equation	NOUN
ejpam-6232	88	23	using	use	VERB
ejpam-6232	88	24	the	the	DET
ejpam-6232	88	25	single	single	ADJ
ejpam-6232	88	26	parametric	parametric	ADJ
ejpam-6232	88	27	form	form	NOUN
ejpam-6232	88	28	based	base	VERB
ejpam-6232	88	29	on	on	ADP
ejpam-6232	88	30	the	the	DET
ejpam-6232	88	31	r	r	NOUN
ejpam-6232	88	32	,	,	PUNCT
ejpam-6232	88	33	β	β	NOUN
ejpam-6232	88	34	-	-	ADJ
ejpam-6232	88	35	cut	cut	VERB
ejpam-6232	88	36	approach	approach	NOUN
ejpam-6232	88	37	for	for	ADP
ejpam-6232	88	38	all	all	DET
ejpam-6232	88	39	r	r	NOUN
ejpam-6232	88	40	,	,	PUNCT
ejpam-6232	88	41	β	β	X
ejpam-6232	88	42	,	,	PUNCT
ejpam-6232	88	43	θ	θ	PROPN
ejpam-6232	88	44	∈	∈	PROPN
ejpam-6232	89	1	[	[	X
ejpam-6232	89	2	0	0	NUM
ejpam-6232	89	3	,	,	PUNCT
ejpam-6232	89	4	1	1	NUM
ejpam-6232	89	5	]	]	PUNCT
ejpam-6232	89	6	as	as	SCONJ
ejpam-6232	89	7	follows	follow	VERB
ejpam-6232	89	8	:	:	PUNCT
ejpam-6232	90	1	[	[	X
ejpam-6232	90	2	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	90	3	,	,	PUNCT
ejpam-6232	90	4	t)]r	t)]r	NUM
ejpam-6232	90	5	,	,	PUNCT
ejpam-6232	90	6	θ	θ	NOUN
ejpam-6232	90	7	,	,	PUNCT
ejpam-6232	90	8	β	β	X
ejpam-6232	90	9	=	=	PUNCT
ejpam-6232	90	10	[	[	PUNCT
ejpam-6232	90	11	u(ξ	u(ξ	PROPN
ejpam-6232	90	12	,	,	PUNCT
ejpam-6232	90	13	t	t	PROPN
ejpam-6232	90	14	;	;	PUNCT
ejpam-6232	90	15	r	r	NOUN
ejpam-6232	90	16	,	,	PUNCT
ejpam-6232	90	17	θ	θ	NOUN
ejpam-6232	90	18	)	)	PUNCT
ejpam-6232	90	19	,	,	PUNCT
ejpam-6232	90	20	u(ξ	u(ξ	NOUN
ejpam-6232	90	21	,	,	PUNCT
ejpam-6232	90	22	t	t	PROPN
ejpam-6232	90	23	;	;	PUNCT
ejpam-6232	90	24	r	r	NOUN
ejpam-6232	90	25	,	,	PUNCT
ejpam-6232	90	26	θ	θ	NOUN
ejpam-6232	90	27	)	)	PUNCT
ejpam-6232	90	28	]	]	PUNCT
ejpam-6232	90	29	,	,	PUNCT
ejpam-6232	90	30	[	[	PUNCT
ejpam-6232	90	31	u	u	NOUN
ejpam-6232	90	32	′	′	X
ejpam-6232	90	33	(	(	PUNCT
ejpam-6232	90	34	ξ	ξ	PROPN
ejpam-6232	90	35	,	,	PUNCT
ejpam-6232	90	36	t;β	t;β	PROPN
ejpam-6232	90	37	,	,	PUNCT
ejpam-6232	90	38	θ	θ	PROPN
ejpam-6232	90	39	)	)	PUNCT
ejpam-6232	90	40	,	,	PUNCT
ejpam-6232	90	41	u′(ξ	u′(ξ	INTJ
ejpam-6232	90	42	,	,	PUNCT
ejpam-6232	90	43	t;β	t;β	NOUN
ejpam-6232	90	44	,	,	PUNCT
ejpam-6232	90	45	θ	θ	PROPN
ejpam-6232	90	46	)	)	PUNCT
ejpam-6232	90	47	]	]	PUNCT
ejpam-6232	90	48	(	(	PUNCT
ejpam-6232	90	49	3	3	X
ejpam-6232	90	50	)	)	PUNCT
ejpam-6232	90	51	[	[	PUNCT
ejpam-6232	90	52	∂ũ(ξ	∂ũ(ξ	PROPN
ejpam-6232	90	53	,	,	PUNCT
ejpam-6232	90	54	t	t	PROPN
ejpam-6232	90	55	)	)	PUNCT
ejpam-6232	90	56	∂t	∂t	PROPN
ejpam-6232	90	57	]	]	PUNCT
ejpam-6232	90	58	r	r	NOUN
ejpam-6232	90	59	,	,	PUNCT
ejpam-6232	90	60	θ	θ	PROPN
ejpam-6232	90	61	,	,	PUNCT
ejpam-6232	90	62	β	β	X
ejpam-6232	90	63	=	=	SYM
ejpam-6232	90	64	[	[	PUNCT
ejpam-6232	90	65	∂u(ξ	∂u(ξ	PROPN
ejpam-6232	90	66	,	,	PUNCT
ejpam-6232	90	67	t	t	PROPN
ejpam-6232	90	68	;	;	PUNCT
ejpam-6232	90	69	r	r	X
ejpam-6232	90	70	,	,	PUNCT
ejpam-6232	90	71	θ	θ	NOUN
ejpam-6232	90	72	)	)	PUNCT
ejpam-6232	90	73	∂t	∂t	PROPN
ejpam-6232	90	74	,	,	PUNCT
ejpam-6232	90	75	∂u(ξ	∂u(ξ	PROPN
ejpam-6232	90	76	,	,	PUNCT
ejpam-6232	90	77	t	t	PROPN
ejpam-6232	90	78	;	;	PUNCT
ejpam-6232	90	79	r	r	X
ejpam-6232	90	80	,	,	PUNCT
ejpam-6232	90	81	θ	θ	NOUN
ejpam-6232	90	82	)	)	PUNCT
ejpam-6232	90	83	∂t	∂t	PROPN
ejpam-6232	90	84	]	]	PUNCT
ejpam-6232	90	85	,	,	PUNCT
ejpam-6232	90	86	[	[	PUNCT
ejpam-6232	90	87	∂u	∂u	NUM
ejpam-6232	90	88	′	′	NUM
ejpam-6232	90	89	(	(	PUNCT
ejpam-6232	90	90	ξ	ξ	PROPN
ejpam-6232	90	91	,	,	PUNCT
ejpam-6232	90	92	t;β	t;β	PROPN
ejpam-6232	90	93	,	,	PUNCT
ejpam-6232	90	94	θ	θ	PROPN
ejpam-6232	90	95	)	)	PUNCT
ejpam-6232	90	96	∂t	∂t	PROPN
ejpam-6232	90	97	,	,	PUNCT
ejpam-6232	90	98	∂u′(ξ	∂u′(ξ	PROPN
ejpam-6232	90	99	,	,	PUNCT
ejpam-6232	90	100	t;β	t;β	NOUN
ejpam-6232	90	101	,	,	PUNCT
ejpam-6232	90	102	θ	θ	PROPN
ejpam-6232	90	103	)	)	PUNCT
ejpam-6232	90	104	∂t	∂t	PROPN
ejpam-6232	90	105	]	]	PUNCT
ejpam-6232	90	106	(	(	PUNCT
ejpam-6232	90	107	4	4	X
ejpam-6232	90	108	)	)	PUNCT
ejpam-6232	90	109	a.	a.	NOUN
ejpam-6232	90	110	u.	u.	PROPN
ejpam-6232	90	111	alkouri	alkouri	PROPN
ejpam-6232	91	1	et	et	PROPN
ejpam-6232	91	2	al	al	PROPN
ejpam-6232	91	3	.	.	PUNCT
ejpam-6232	91	4	/	/	SYM
ejpam-6232	91	5	eur	eur	PROPN
ejpam-6232	91	6	.	.	PUNCT
ejpam-6232	92	1	j.	j.	PROPN
ejpam-6232	92	2	pure	pure	PROPN
ejpam-6232	92	3	appl	appl	PROPN
ejpam-6232	92	4	.	.	PROPN
ejpam-6232	92	5	math	math	PROPN
ejpam-6232	92	6	,	,	PUNCT
ejpam-6232	92	7	18	18	NUM
ejpam-6232	92	8	(	(	PUNCT
ejpam-6232	92	9	3	3	NUM
ejpam-6232	92	10	)	)	PUNCT
ejpam-6232	92	11	(	(	PUNCT
ejpam-6232	92	12	2025	2025	NUM
ejpam-6232	92	13	)	)	PUNCT
ejpam-6232	92	14	,	,	PUNCT
ejpam-6232	92	15	6232	6232	NUM
ejpam-6232	92	16	6	6	NUM
ejpam-6232	92	17	of	of	ADP
ejpam-6232	92	18	15	15	NUM
ejpam-6232	92	19	[	[	PUNCT
ejpam-6232	92	20	∂2ũ(ξ	∂2ũ(ξ	PROPN
ejpam-6232	92	21	,	,	PUNCT
ejpam-6232	92	22	t	t	PROPN
ejpam-6232	92	23	)	)	PUNCT
ejpam-6232	92	24	∂ξ2	∂ξ2	X
ejpam-6232	92	25	]	]	PUNCT
ejpam-6232	92	26	r	r	X
ejpam-6232	92	27	,	,	PUNCT
ejpam-6232	92	28	θ	θ	PROPN
ejpam-6232	92	29	,	,	PUNCT
ejpam-6232	92	30	β	β	X
ejpam-6232	92	31	=	=	SYM
ejpam-6232	92	32	[	[	PUNCT
ejpam-6232	92	33	∂2u(ξ	∂2u(ξ	PROPN
ejpam-6232	92	34	,	,	PUNCT
ejpam-6232	92	35	t	t	PROPN
ejpam-6232	92	36	;	;	PUNCT
ejpam-6232	92	37	r	r	X
ejpam-6232	92	38	,	,	PUNCT
ejpam-6232	92	39	θ	θ	NOUN
ejpam-6232	92	40	)	)	PUNCT
ejpam-6232	92	41	∂ξ2	∂ξ2	PROPN
ejpam-6232	92	42	,	,	PUNCT
ejpam-6232	92	43	∂2u(ξ	∂2u(ξ	PROPN
ejpam-6232	92	44	,	,	PUNCT
ejpam-6232	92	45	t	t	PROPN
ejpam-6232	92	46	;	;	PUNCT
ejpam-6232	92	47	r	r	X
ejpam-6232	92	48	,	,	PUNCT
ejpam-6232	92	49	θ	θ	NOUN
ejpam-6232	92	50	)	)	PUNCT
ejpam-6232	92	51	∂ξ2	∂ξ2	NOUN
ejpam-6232	92	52	]	]	PUNCT
ejpam-6232	92	53	,	,	PUNCT
ejpam-6232	92	54	[	[	PUNCT
ejpam-6232	92	55	∂2u	∂2u	PROPN
ejpam-6232	92	56	′	′	NUM
ejpam-6232	92	57	(	(	PUNCT
ejpam-6232	92	58	ξ	ξ	PROPN
ejpam-6232	92	59	,	,	PUNCT
ejpam-6232	92	60	t;β	t;β	PROPN
ejpam-6232	92	61	,	,	PUNCT
ejpam-6232	92	62	θ	θ	NOUN
ejpam-6232	92	63	)	)	PUNCT
ejpam-6232	92	64	∂ξ2	∂ξ2	NOUN
ejpam-6232	92	65	,	,	PUNCT
ejpam-6232	92	66	∂2u′(ξ	∂2u′(ξ	INTJ
ejpam-6232	92	67	,	,	PUNCT
ejpam-6232	92	68	t;β	t;β	PROPN
ejpam-6232	92	69	,	,	PUNCT
ejpam-6232	92	70	θ	θ	PROPN
ejpam-6232	92	71	)	)	PUNCT
ejpam-6232	92	72	∂ξ2	∂ξ2	NOUN
ejpam-6232	92	73	]	]	PUNCT
ejpam-6232	92	74	(	(	PUNCT
ejpam-6232	92	75	5	5	NUM
ejpam-6232	92	76	)	)	PUNCT
ejpam-6232	92	77	[	[	PUNCT
ejpam-6232	92	78	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	92	79	,	,	PUNCT
ejpam-6232	92	80	t	t	PROPN
ejpam-6232	92	81	)	)	PUNCT
ejpam-6232	92	82	]	]	PUNCT
ejpam-6232	93	1	r	r	X
ejpam-6232	93	2	,	,	PUNCT
ejpam-6232	93	3	θ	θ	PROPN
ejpam-6232	93	4	,	,	PUNCT
ejpam-6232	93	5	β	β	X
ejpam-6232	93	6	=	=	X
ejpam-6232	93	7	[	[	PUNCT
ejpam-6232	93	8	d(ξ	d(ξ	PROPN
ejpam-6232	93	9	,	,	PUNCT
ejpam-6232	93	10	t	t	PROPN
ejpam-6232	93	11	;	;	PUNCT
ejpam-6232	93	12	r	r	NOUN
ejpam-6232	93	13	,	,	PUNCT
ejpam-6232	93	14	θ	θ	NOUN
ejpam-6232	93	15	)	)	PUNCT
ejpam-6232	93	16	,	,	PUNCT
ejpam-6232	93	17	d(ξ	d(ξ	PROPN
ejpam-6232	93	18	,	,	PUNCT
ejpam-6232	93	19	t	t	PROPN
ejpam-6232	93	20	;	;	PUNCT
ejpam-6232	93	21	r	r	NOUN
ejpam-6232	93	22	,	,	PUNCT
ejpam-6232	93	23	θ	θ	PROPN
ejpam-6232	93	24	)	)	PUNCT
ejpam-6232	93	25	]	]	PUNCT
ejpam-6232	93	26	,	,	PUNCT
ejpam-6232	93	27	[	[	PUNCT
ejpam-6232	93	28	d	d	X
ejpam-6232	93	29	′	′	NUM
ejpam-6232	93	30	(	(	PUNCT
ejpam-6232	93	31	ξ	ξ	PROPN
ejpam-6232	93	32	,	,	PUNCT
ejpam-6232	93	33	t;β	t;β	PROPN
ejpam-6232	93	34	,	,	PUNCT
ejpam-6232	93	35	θ	θ	NOUN
ejpam-6232	93	36	)	)	PUNCT
ejpam-6232	93	37	,	,	PUNCT
ejpam-6232	93	38	d′(ξ	d′(ξ	PROPN
ejpam-6232	93	39	,	,	PUNCT
ejpam-6232	93	40	t;β	t;β	NOUN
ejpam-6232	93	41	,	,	PUNCT
ejpam-6232	93	42	θ	θ	PROPN
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ejpam-6232	97	40	8)	8)	NUM
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ejpam-6232	100	40	10	10	NUM
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ejpam-6232	101	45	11	11	NUM
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ejpam-6232	104	19	12	12	NUM
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ejpam-6232	109	10	,	,	PUNCT
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ejpam-6232	110	1	[	[	X
ejpam-6232	110	2	[	[	PUNCT
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ejpam-6232	110	5	(	(	PUNCT
ejpam-6232	110	6	r	r	NOUN
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ejpam-6232	110	8	,	,	PUNCT
ejpam-6232	110	9	q2(r	q2(r	PROPN
ejpam-6232	110	10	)	)	PUNCT
ejpam-6232	110	11	]	]	PUNCT
ejpam-6232	110	12	eiα[w2(θ),w2(θ	eiα[w2(θ),w2(θ	PROPN
ejpam-6232	110	13	)	)	PUNCT
ejpam-6232	110	14	]	]	PUNCT
ejpam-6232	111	1	s2(ξ	s2(ξ	NUM
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ejpam-6232	111	6	,	,	PUNCT
ejpam-6232	112	1	[	[	X
ejpam-6232	112	2	[	[	PUNCT
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ejpam-6232	112	4	′	′	NUM
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ejpam-6232	112	6	(	(	PUNCT
ejpam-6232	112	7	β	β	NOUN
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ejpam-6232	112	9	,	,	PUNCT
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ejpam-6232	112	15	)	)	PUNCT
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ejpam-6232	115	1	r	r	X
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ejpam-6232	115	4	,	,	PUNCT
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ejpam-6232	115	6	=	=	PUNCT
ejpam-6232	116	1	[	[	X
ejpam-6232	116	2	[	[	PUNCT
ejpam-6232	116	3	q	q	NOUN
ejpam-6232	116	4	3	3	NUM
ejpam-6232	116	5	(	(	PUNCT
ejpam-6232	116	6	r	r	NOUN
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ejpam-6232	116	8	,	,	PUNCT
ejpam-6232	116	9	q3(r	q3(r	PROPN
ejpam-6232	116	10	)	)	PUNCT
ejpam-6232	116	11	]	]	PUNCT
ejpam-6232	116	12	eiα[w3(θ),w3(θ	eiα[w3(θ),w3(θ	NOUN
ejpam-6232	116	13	)	)	PUNCT
ejpam-6232	116	14	]	]	PUNCT
ejpam-6232	117	1	s3(ξ	s3(ξ	NUM
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ejpam-6232	117	4	,	,	PUNCT
ejpam-6232	118	1	[	[	X
ejpam-6232	118	2	[	[	PUNCT
ejpam-6232	118	3	q	q	NOUN
ejpam-6232	118	4	′	′	NUM
ejpam-6232	118	5	3	3	NUM
ejpam-6232	118	6	(	(	PUNCT
ejpam-6232	118	7	β	β	NOUN
ejpam-6232	118	8	)	)	PUNCT
ejpam-6232	118	9	,	,	PUNCT
ejpam-6232	118	10	q′	q′	NOUN
ejpam-6232	118	11	3(β	3(β	NUM
ejpam-6232	118	12	)	)	PUNCT
ejpam-6232	118	13	]	]	PUNCT
ejpam-6232	118	14	eiα[w3(θ),w3(θ	eiα[w3(θ),w3(θ	NOUN
ejpam-6232	118	15	)	)	PUNCT
ejpam-6232	118	16	]	]	PUNCT
ejpam-6232	118	17	s3(ξ	s3(ξ	NUM
ejpam-6232	118	18	)	)	PUNCT
ejpam-6232	118	19	]	]	PUNCT
ejpam-6232	119	1	[	[	X
ejpam-6232	119	2	g̃(t)]r	g̃(t)]r	PROPN
ejpam-6232	119	3	,	,	PUNCT
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ejpam-6232	119	5	,	,	PUNCT
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ejpam-6232	119	7	=	=	PUNCT
ejpam-6232	120	1	[	[	X
ejpam-6232	120	2	[	[	PUNCT
ejpam-6232	120	3	q	q	NOUN
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ejpam-6232	120	5	(	(	PUNCT
ejpam-6232	120	6	r	r	NOUN
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ejpam-6232	120	8	,	,	PUNCT
ejpam-6232	120	9	q4(r	q4(r	PROPN
ejpam-6232	120	10	)	)	PUNCT
ejpam-6232	120	11	]	]	PUNCT
ejpam-6232	120	12	eiα	eiα	PROPN
ejpam-6232	121	1	[	[	X
ejpam-6232	121	2	w4(θ),w4(θ	w4(θ),w4(θ	PROPN
ejpam-6232	121	3	)	)	PUNCT
ejpam-6232	121	4	]	]	PUNCT
ejpam-6232	122	1	s4(t	s4(t	PROPN
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ejpam-6232	122	3	]	]	PUNCT
ejpam-6232	122	4	,	,	PUNCT
ejpam-6232	123	1	[	[	X
ejpam-6232	123	2	[	[	PUNCT
ejpam-6232	123	3	q	q	NOUN
ejpam-6232	123	4	′	′	NUM
ejpam-6232	123	5	4	4	NUM
ejpam-6232	123	6	(	(	PUNCT
ejpam-6232	123	7	β	β	NOUN
ejpam-6232	123	8	)	)	PUNCT
ejpam-6232	123	9	,	,	PUNCT
ejpam-6232	123	10	q′	q′	NOUN
ejpam-6232	123	11	4(β	4(β	NUM
ejpam-6232	123	12	)	)	PUNCT
ejpam-6232	123	13	]	]	PUNCT
ejpam-6232	123	14	eiα	eiα	PROPN
ejpam-6232	123	15	[	[	X
ejpam-6232	123	16	w4(θ),w4(θ	w4(θ),w4(θ	PROPN
ejpam-6232	123	17	)	)	PUNCT
ejpam-6232	123	18	]	]	PUNCT
ejpam-6232	124	1	s4(t	s4(t	X
ejpam-6232	124	2	)	)	PUNCT
ejpam-6232	124	3	]	]	PUNCT
ejpam-6232	125	1	[	[	X
ejpam-6232	125	2	z̃(t)]r	z̃(t)]r	PROPN
ejpam-6232	125	3	,	,	PUNCT
ejpam-6232	125	4	θ	θ	PROPN
ejpam-6232	125	5	,	,	PUNCT
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ejpam-6232	125	7	=	=	PUNCT
ejpam-6232	126	1	[	[	X
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ejpam-6232	126	3	q	q	NOUN
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ejpam-6232	126	5	(	(	PUNCT
ejpam-6232	126	6	r	r	NOUN
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ejpam-6232	126	8	,	,	PUNCT
ejpam-6232	126	9	q5(r	q5(r	PROPN
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ejpam-6232	126	11	]	]	PUNCT
ejpam-6232	126	12	eiα	eiα	NOUN
ejpam-6232	127	1	[	[	X
ejpam-6232	127	2	w5(θ),w5(θ	w5(θ),w5(θ	NOUN
ejpam-6232	127	3	)	)	PUNCT
ejpam-6232	127	4	]	]	PUNCT
ejpam-6232	128	1	s5(t	s5(t	X
ejpam-6232	128	2	)	)	PUNCT
ejpam-6232	128	3	]	]	PUNCT
ejpam-6232	128	4	,	,	PUNCT
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ejpam-6232	128	6	[	[	PUNCT
ejpam-6232	128	7	q	q	NOUN
ejpam-6232	128	8	′	′	NUM
ejpam-6232	128	9	5	5	NUM
ejpam-6232	128	10	(	(	PUNCT
ejpam-6232	128	11	β	β	NOUN
ejpam-6232	128	12	)	)	PUNCT
ejpam-6232	128	13	,	,	PUNCT
ejpam-6232	128	14	q′	q′	NOUN
ejpam-6232	128	15	5(β	5(β	NUM
ejpam-6232	128	16	)	)	PUNCT
ejpam-6232	128	17	]	]	PUNCT
ejpam-6232	128	18	eiα	eiα	NOUN
ejpam-6232	128	19	[	[	X
ejpam-6232	128	20	w5(θ),w5(θ	w5(θ),w5(θ	NOUN
ejpam-6232	128	21	)	)	PUNCT
ejpam-6232	128	22	]	]	PUNCT
ejpam-6232	129	1	s5(t	s5(t	X
ejpam-6232	129	2	)	)	PUNCT
ejpam-6232	129	3	]	]	PUNCT
ejpam-6232	129	4	(	(	PUNCT
ejpam-6232	129	5	13	13	NUM
ejpam-6232	129	6	)	)	PUNCT
ejpam-6232	129	7	the	the	DET
ejpam-6232	129	8	complex	complex	ADJ
ejpam-6232	129	9	membership	membership	NOUN
ejpam-6232	129	10	and	and	CCONJ
ejpam-6232	129	11	non	non	ADJ
ejpam-6232	129	12	-	-	ADJ
ejpam-6232	129	13	membership	membership	ADJ
ejpam-6232	129	14	functions	function	NOUN
ejpam-6232	129	15	are	be	AUX
ejpam-6232	129	16	defined	define	VERB
ejpam-6232	129	17	by	by	ADP
ejpam-6232	129	18	using	use	VERB
ejpam-6232	129	19	the	the	DET
ejpam-6232	129	20	fuzzy	fuzzy	ADJ
ejpam-6232	129	21	extension	extension	NOUN
ejpam-6232	129	22	principle	principle	NOUN
ejpam-6232	130	1	[	[	X
ejpam-6232	130	2	33]as	33]as	NUM
ejpam-6232	130	3	follows	follow	VERB
ejpam-6232	130	4	:	:	PUNCT
ejpam-6232	130	5	{	{	PUNCT
ejpam-6232	130	6	u(ξ	u(ξ	NOUN
ejpam-6232	130	7	,	,	PUNCT
ejpam-6232	130	8	t	t	PROPN
ejpam-6232	130	9	;	;	PUNCT
ejpam-6232	130	10	r	r	NOUN
ejpam-6232	130	11	,	,	PUNCT
ejpam-6232	130	12	θ	θ	NOUN
ejpam-6232	130	13	)	)	PUNCT
ejpam-6232	130	14	=	=	NOUN
ejpam-6232	131	1	[	[	X
ejpam-6232	131	2	min	min	X
ejpam-6232	131	3	{	{	PUNCT
ejpam-6232	131	4	ũ	ũ	PROPN
ejpam-6232	131	5	(	(	PUNCT
ejpam-6232	131	6	µ̃(r	µ̃(r	PROPN
ejpam-6232	131	7	,	,	PUNCT
ejpam-6232	131	8	θ	θ	NOUN
ejpam-6232	131	9	)	)	PUNCT
ejpam-6232	131	10	,	,	PUNCT
ejpam-6232	131	11	t))|µ̃(r	t))|µ̃(r	PROPN
ejpam-6232	131	12	,	,	PUNCT
ejpam-6232	131	13	θ	θ	NOUN
ejpam-6232	131	14	)	)	PUNCT
ejpam-6232	131	15	∈	∈	PROPN
ejpam-6232	131	16	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	131	17	,	,	PUNCT
ejpam-6232	131	18	t	t	PROPN
ejpam-6232	131	19	;	;	PUNCT
ejpam-6232	131	20	r	r	NOUN
ejpam-6232	131	21	,	,	PUNCT
ejpam-6232	131	22	θ	θ	NOUN
ejpam-6232	131	23	)	)	PUNCT
ejpam-6232	131	24	}	}	PUNCT
ejpam-6232	131	25	]	]	PUNCT
ejpam-6232	132	1	u(ξ	u(ξ	NOUN
ejpam-6232	132	2	,	,	PUNCT
ejpam-6232	132	3	t	t	PROPN
ejpam-6232	132	4	;	;	PUNCT
ejpam-6232	132	5	r	r	NOUN
ejpam-6232	132	6	,	,	PUNCT
ejpam-6232	132	7	θ	θ	NOUN
ejpam-6232	132	8	)	)	PUNCT
ejpam-6232	132	9	=	=	NOUN
ejpam-6232	133	1	[	[	X
ejpam-6232	133	2	max	max	X
ejpam-6232	133	3	{	{	PUNCT
ejpam-6232	133	4	ũ	ũ	PROPN
ejpam-6232	133	5	(	(	PUNCT
ejpam-6232	133	6	µ̃(r	µ̃(r	PROPN
ejpam-6232	133	7	,	,	PUNCT
ejpam-6232	133	8	θ	θ	NOUN
ejpam-6232	133	9	)	)	PUNCT
ejpam-6232	133	10	,	,	PUNCT
ejpam-6232	133	11	t)|µ̃(r	t)|µ̃(r	PROPN
ejpam-6232	133	12	,	,	PUNCT
ejpam-6232	133	13	θ	θ	NOUN
ejpam-6232	133	14	)	)	PUNCT
ejpam-6232	133	15	∈	∈	PROPN
ejpam-6232	133	16	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	133	17	,	,	PUNCT
ejpam-6232	133	18	t	t	PROPN
ejpam-6232	133	19	;	;	PUNCT
ejpam-6232	133	20	r	r	NOUN
ejpam-6232	133	21	,	,	PUNCT
ejpam-6232	133	22	θ	θ	NOUN
ejpam-6232	133	23	)	)	PUNCT
ejpam-6232	133	24	}	}	PUNCT
ejpam-6232	133	25	]	]	PUNCT
ejpam-6232	133	26	(	(	PUNCT
ejpam-6232	133	27	14	14	NUM
ejpam-6232	133	28	)	)	PUNCT
ejpam-6232	133	29	{	{	PUNCT
ejpam-6232	133	30	u	u	NOUN
ejpam-6232	133	31	′	′	NUM
ejpam-6232	133	32	(	(	PUNCT
ejpam-6232	133	33	ξ	ξ	PROPN
ejpam-6232	133	34	,	,	PUNCT
ejpam-6232	133	35	t;β	t;β	PROPN
ejpam-6232	133	36	,	,	PUNCT
ejpam-6232	133	37	θ	θ	NOUN
ejpam-6232	133	38	)	)	PUNCT
ejpam-6232	133	39	=	=	NOUN
ejpam-6232	134	1	[	[	X
ejpam-6232	134	2	min	min	X
ejpam-6232	134	3	{	{	PUNCT
ejpam-6232	134	4	ũ	ũ	PROPN
ejpam-6232	134	5	(	(	PUNCT
ejpam-6232	134	6	µ̃(β	µ̃(β	PROPN
ejpam-6232	134	7	,	,	PUNCT
ejpam-6232	134	8	θ	θ	PROPN
ejpam-6232	134	9	)	)	PUNCT
ejpam-6232	134	10	,	,	PUNCT
ejpam-6232	134	11	t))|µ̃(r	t))|µ̃(r	PROPN
ejpam-6232	134	12	,	,	PUNCT
ejpam-6232	134	13	θ	θ	NOUN
ejpam-6232	134	14	)	)	PUNCT
ejpam-6232	134	15	∈	∈	PROPN
ejpam-6232	134	16	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	134	17	,	,	PUNCT
ejpam-6232	134	18	t;β	t;β	NOUN
ejpam-6232	134	19	,	,	PUNCT
ejpam-6232	134	20	θ	θ	NOUN
ejpam-6232	134	21	)	)	PUNCT
ejpam-6232	134	22	}	}	PUNCT
ejpam-6232	134	23	]	]	PUNCT
ejpam-6232	135	1	u′(ξ	u′(ξ	INTJ
ejpam-6232	135	2	,	,	PUNCT
ejpam-6232	135	3	t;β	t;β	NOUN
ejpam-6232	135	4	,	,	PUNCT
ejpam-6232	135	5	θ	θ	NOUN
ejpam-6232	135	6	)	)	PUNCT
ejpam-6232	135	7	=	=	NOUN
ejpam-6232	136	1	[	[	X
ejpam-6232	136	2	max	max	X
ejpam-6232	136	3	{	{	PUNCT
ejpam-6232	136	4	ũ	ũ	PROPN
ejpam-6232	136	5	(	(	PUNCT
ejpam-6232	136	6	µ̃(β	µ̃(β	PROPN
ejpam-6232	136	7	,	,	PUNCT
ejpam-6232	136	8	θ	θ	NOUN
ejpam-6232	136	9	)	)	PUNCT
ejpam-6232	136	10	,	,	PUNCT
ejpam-6232	136	11	t)|µ̃(r	t)|µ̃(r	PROPN
ejpam-6232	136	12	,	,	PUNCT
ejpam-6232	136	13	θ	θ	NOUN
ejpam-6232	136	14	)	)	PUNCT
ejpam-6232	136	15	∈	∈	PROPN
ejpam-6232	136	16	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	136	17	,	,	PUNCT
ejpam-6232	136	18	t;β	t;β	NOUN
ejpam-6232	136	19	,	,	PUNCT
ejpam-6232	136	20	θ	θ	NOUN
ejpam-6232	136	21	)	)	PUNCT
ejpam-6232	136	22	}	}	PUNCT
ejpam-6232	136	23	]	]	PUNCT
ejpam-6232	136	24	(	(	PUNCT
ejpam-6232	136	25	15	15	NUM
ejpam-6232	136	26	)	)	PUNCT
ejpam-6232	136	27	here	here	ADV
ejpam-6232	136	28	,	,	PUNCT
ejpam-6232	136	29	substituting	substitute	VERB
ejpam-6232	136	30	all	all	DET
ejpam-6232	136	31	equations	equation	NOUN
ejpam-6232	136	32	3	3	NUM
ejpam-6232	136	33	,	,	PUNCT
ejpam-6232	136	34	4	4	NUM
ejpam-6232	136	35	,	,	PUNCT
ejpam-6232	136	36	5	5	NUM
ejpam-6232	136	37	,	,	PUNCT
ejpam-6232	136	38	6	6	NUM
ejpam-6232	136	39	,	,	PUNCT
ejpam-6232	136	40	7	7	NUM
ejpam-6232	136	41	,	,	PUNCT
ejpam-6232	136	42	8	8	NUM
ejpam-6232	136	43	,	,	PUNCT
ejpam-6232	136	44	9	9	NUM
ejpam-6232	136	45	,	,	PUNCT
ejpam-6232	136	46	10	10	NUM
ejpam-6232	136	47	,	,	PUNCT
ejpam-6232	136	48	11	11	NUM
ejpam-6232	136	49	,	,	PUNCT
ejpam-6232	136	50	12	12	NUM
ejpam-6232	136	51	,	,	PUNCT
ejpam-6232	136	52	and	and	CCONJ
ejpam-6232	136	53	13	13	NUM
ejpam-6232	136	54	into	into	ADP
ejpam-6232	136	55	equation	equation	NOUN
ejpam-6232	136	56	2	2	NUM
ejpam-6232	136	57	,	,	PUNCT
ejpam-6232	136	58	the	the	DET
ejpam-6232	136	59	following	follow	VERB
ejpam-6232	136	60	is	be	AUX
ejpam-6232	136	61	obtained	obtain	VERB
ejpam-6232	136	62	:	:	PUNCT
ejpam-6232	136	63	a.	a.	PROPN
ejpam-6232	136	64	u.	u.	PROPN
ejpam-6232	136	65	alkouri	alkouri	PROPN
ejpam-6232	136	66	et	et	PROPN
ejpam-6232	136	67	al	al	PROPN
ejpam-6232	136	68	.	.	PUNCT
ejpam-6232	136	69	/	/	SYM
ejpam-6232	136	70	eur	eur	PROPN
ejpam-6232	136	71	.	.	PUNCT
ejpam-6232	137	1	j.	j.	PROPN
ejpam-6232	137	2	pure	pure	PROPN
ejpam-6232	137	3	appl	appl	PROPN
ejpam-6232	137	4	.	.	PROPN
ejpam-6232	137	5	math	math	PROPN
ejpam-6232	137	6	,	,	PUNCT
ejpam-6232	137	7	18	18	NUM
ejpam-6232	137	8	(	(	PUNCT
ejpam-6232	137	9	3	3	NUM
ejpam-6232	137	10	)	)	PUNCT
ejpam-6232	137	11	(	(	PUNCT
ejpam-6232	137	12	2025	2025	NUM
ejpam-6232	137	13	)	)	PUNCT
ejpam-6232	137	14	,	,	PUNCT
ejpam-6232	137	15	6232	6232	NUM
ejpam-6232	137	16	7	7	NUM
ejpam-6232	137	17	of	of	ADP
ejpam-6232	137	18	15	15	NUM
ejpam-6232	137	19			NOUN
ejpam-6232	137	20	∂u(ξ	∂u(ξ	PROPN
ejpam-6232	137	21	,	,	PUNCT
ejpam-6232	137	22	t;r	t;r	NOUN
ejpam-6232	137	23	,	,	PUNCT
ejpam-6232	137	24	θ	θ	NOUN
ejpam-6232	137	25	)	)	PUNCT
ejpam-6232	137	26	∂t	∂t	PROPN
ejpam-6232	138	1	=	=	PUNCT
ejpam-6232	138	2	[	[	PUNCT
ejpam-6232	138	3	q	q	NOUN
ejpam-6232	138	4	1	1	NUM
ejpam-6232	138	5	(	(	PUNCT
ejpam-6232	138	6	r	r	NOUN
ejpam-6232	138	7	)	)	PUNCT
ejpam-6232	138	8	eiα	eiα	NOUN
ejpam-6232	138	9	w1(θ	w1(θ	NOUN
ejpam-6232	138	10	)	)	PUNCT
ejpam-6232	138	11	s1(ξ	s1(ξ	PROPN
ejpam-6232	138	12	,	,	PUNCT
ejpam-6232	138	13	t	t	PROPN
ejpam-6232	138	14	)	)	PUNCT
ejpam-6232	138	15	]	]	PUNCT
ejpam-6232	139	1	∂2u(ξ	∂2u(ξ	NOUN
ejpam-6232	139	2	,	,	PUNCT
ejpam-6232	139	3	t;r	t;r	NOUN
ejpam-6232	139	4	,	,	PUNCT
ejpam-6232	139	5	θ	θ	NOUN
ejpam-6232	139	6	)	)	PUNCT
ejpam-6232	139	7	∂ξ2	∂ξ2	NOUN
ejpam-6232	140	1	+	+	CCONJ
ejpam-6232	140	2	q	q	PROPN
ejpam-6232	140	3	2	2	NUM
ejpam-6232	140	4	(	(	PUNCT
ejpam-6232	140	5	r	r	NOUN
ejpam-6232	140	6	)	)	PUNCT
ejpam-6232	140	7	eiα	eiα	NOUN
ejpam-6232	140	8	w2(θ	w2(θ	NUM
ejpam-6232	140	9	)	)	PUNCT
ejpam-6232	140	10	s2(ξ	s2(ξ	NOUN
ejpam-6232	140	11	,	,	PUNCT
ejpam-6232	140	12	t	t	PROPN
ejpam-6232	140	13	)	)	PUNCT
ejpam-6232	140	14	u(ξ	u(ξ	NOUN
ejpam-6232	140	15	,	,	PUNCT
ejpam-6232	140	16	0	0	NUM
ejpam-6232	140	17	;	;	PUNCT
ejpam-6232	140	18	r	r	NOUN
ejpam-6232	140	19	,	,	PUNCT
ejpam-6232	140	20	θ	θ	NOUN
ejpam-6232	140	21	)	)	PUNCT
ejpam-6232	140	22	=	=	SYM
ejpam-6232	141	1	q	q	NOUN
ejpam-6232	141	2	3	3	NUM
ejpam-6232	141	3	(	(	PUNCT
ejpam-6232	141	4	r	r	NOUN
ejpam-6232	141	5	)	)	PUNCT
ejpam-6232	141	6	eiα	eiα	NOUN
ejpam-6232	141	7	w3(θ	w3(θ	PROPN
ejpam-6232	141	8	)	)	PUNCT
ejpam-6232	141	9	s3(ξ	s3(ξ	NOUN
ejpam-6232	141	10	)	)	PUNCT
ejpam-6232	141	11	u(0	u(0	PROPN
ejpam-6232	141	12	,	,	PUNCT
ejpam-6232	141	13	t	t	PROPN
ejpam-6232	141	14	;	;	PUNCT
ejpam-6232	141	15	r	r	NOUN
ejpam-6232	141	16	,	,	PUNCT
ejpam-6232	141	17	θ	θ	NOUN
ejpam-6232	141	18	)	)	PUNCT
ejpam-6232	141	19	=	=	SYM
ejpam-6232	142	1	q	q	PROPN
ejpam-6232	142	2	4	4	NUM
ejpam-6232	142	3	(	(	PUNCT
ejpam-6232	142	4	r	r	NOUN
ejpam-6232	142	5	)	)	PUNCT
ejpam-6232	142	6	eiα	eiα	NOUN
ejpam-6232	142	7	w4(θ	w4(θ	NUM
ejpam-6232	142	8	)	)	PUNCT
ejpam-6232	142	9	s4(t	s4(t	PROPN
ejpam-6232	142	10	)	)	PUNCT
ejpam-6232	142	11	,	,	PUNCT
ejpam-6232	142	12	u(l	u(l	PROPN
ejpam-6232	142	13	,	,	PUNCT
ejpam-6232	142	14	t	t	PROPN
ejpam-6232	142	15	;	;	PUNCT
ejpam-6232	142	16	r	r	NOUN
ejpam-6232	142	17	,	,	PUNCT
ejpam-6232	142	18	θ	θ	NOUN
ejpam-6232	142	19	)	)	PUNCT
ejpam-6232	142	20	=	=	SYM
ejpam-6232	143	1	q	q	PROPN
ejpam-6232	143	2	5	5	NUM
ejpam-6232	143	3	(	(	PUNCT
ejpam-6232	143	4	r	r	NOUN
ejpam-6232	143	5	)	)	PUNCT
ejpam-6232	143	6	eiα	eiα	NOUN
ejpam-6232	143	7	w5(θ	w5(θ	NOUN
ejpam-6232	143	8	)	)	PUNCT
ejpam-6232	143	9	s5(t	s5(t	NOUN
ejpam-6232	143	10	)	)	PUNCT
ejpam-6232	143	11	(	(	PUNCT
ejpam-6232	143	12	16	16	NUM
ejpam-6232	143	13	)	)	PUNCT
ejpam-6232	143	14			PRON
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ejpam-6232	143	16	,	,	PUNCT
ejpam-6232	143	17	t;r	t;r	NOUN
ejpam-6232	143	18	,	,	PUNCT
ejpam-6232	143	19	θ	θ	NOUN
ejpam-6232	143	20	)	)	PUNCT
ejpam-6232	144	1	∂t	∂t	PROPN
ejpam-6232	144	2	=	=	PUNCT
ejpam-6232	144	3	[	[	PUNCT
ejpam-6232	144	4	q1(r	q1(r	NOUN
ejpam-6232	144	5	)	)	PUNCT
ejpam-6232	144	6	e	e	NOUN
ejpam-6232	144	7	iα	iα	NOUN
ejpam-6232	144	8	w1(θ	w1(θ	NOUN
ejpam-6232	144	9	)	)	PUNCT
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ejpam-6232	144	11	,	,	PUNCT
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ejpam-6232	144	14	]	]	PUNCT
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ejpam-6232	145	2	,	,	PUNCT
ejpam-6232	145	3	t;r	t;r	NOUN
ejpam-6232	145	4	,	,	PUNCT
ejpam-6232	145	5	θ	θ	NOUN
ejpam-6232	145	6	)	)	PUNCT
ejpam-6232	145	7	∂ξ2	∂ξ2	NOUN
ejpam-6232	146	1	+	+	CCONJ
ejpam-6232	146	2	q2(r	q2(r	NOUN
ejpam-6232	146	3	)	)	PUNCT
ejpam-6232	146	4	e	e	X
ejpam-6232	146	5	iα	iα	NOUN
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ejpam-6232	146	7	)	)	PUNCT
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ejpam-6232	146	9	,	,	PUNCT
ejpam-6232	146	10	t	t	PROPN
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ejpam-6232	146	13	,	,	PUNCT
ejpam-6232	146	14	0	0	NUM
ejpam-6232	146	15	;	;	PUNCT
ejpam-6232	146	16	r	r	NOUN
ejpam-6232	146	17	,	,	PUNCT
ejpam-6232	146	18	θ	θ	NOUN
ejpam-6232	146	19	)	)	PUNCT
ejpam-6232	146	20	=	=	SYM
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ejpam-6232	146	22	)	)	PUNCT
ejpam-6232	146	23	e	e	NOUN
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ejpam-6232	146	25	w3(θ	w3(θ	PROPN
ejpam-6232	146	26	)	)	PUNCT
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ejpam-6232	146	28	)	)	PUNCT
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ejpam-6232	146	30	,	,	PUNCT
ejpam-6232	146	31	t	t	PROPN
ejpam-6232	146	32	;	;	PUNCT
ejpam-6232	146	33	r	r	NOUN
ejpam-6232	146	34	,	,	PUNCT
ejpam-6232	146	35	θ	θ	NOUN
ejpam-6232	146	36	)	)	PUNCT
ejpam-6232	146	37	=	=	SYM
ejpam-6232	146	38	q4(r	q4(r	X
ejpam-6232	146	39	)	)	PUNCT
ejpam-6232	146	40	e	e	NOUN
ejpam-6232	146	41	iα	iα	X
ejpam-6232	146	42	w4(θ	w4(θ	NUM
ejpam-6232	146	43	)	)	PUNCT
ejpam-6232	146	44	s4(t	s4(t	PROPN
ejpam-6232	146	45	)	)	PUNCT
ejpam-6232	146	46	,	,	PUNCT
ejpam-6232	146	47	u(l	u(l	PROPN
ejpam-6232	146	48	,	,	PUNCT
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ejpam-6232	146	57	)	)	PUNCT
ejpam-6232	146	58	e	e	NOUN
ejpam-6232	146	59	iα	iα	X
ejpam-6232	146	60	w5(θ	w5(θ	NOUN
ejpam-6232	146	61	)	)	PUNCT
ejpam-6232	146	62	s5(t	s5(t	NOUN
ejpam-6232	146	63	)	)	PUNCT
ejpam-6232	146	64	(	(	PUNCT
ejpam-6232	146	65	17	17	NUM
ejpam-6232	146	66	)	)	PUNCT
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ejpam-6232	146	68	∂u	∂u	NOUN
ejpam-6232	146	69	′	′	NUM
ejpam-6232	146	70	(	(	PUNCT
ejpam-6232	146	71	ξ	ξ	NOUN
ejpam-6232	146	72	,	,	PUNCT
ejpam-6232	146	73	t;β	t;β	PROPN
ejpam-6232	146	74	,	,	PUNCT
ejpam-6232	146	75	θ	θ	NOUN
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ejpam-6232	147	1	∂t	∂t	PROPN
ejpam-6232	147	2	=	=	PUNCT
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ejpam-6232	148	2	q	q	NOUN
ejpam-6232	148	3	′	′	NUM
ejpam-6232	148	4	1	1	NUM
ejpam-6232	148	5	(	(	PUNCT
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ejpam-6232	149	2	′	′	NUM
ejpam-6232	149	3	(	(	PUNCT
ejpam-6232	149	4	ξ	ξ	PROPN
ejpam-6232	149	5	,	,	PUNCT
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ejpam-6232	149	8	θ	θ	NOUN
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ejpam-6232	150	1	+	+	CCONJ
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ejpam-6232	150	3	′	′	NUM
ejpam-6232	150	4	2	2	NUM
ejpam-6232	150	5	(	(	PUNCT
ejpam-6232	150	6	β	β	NOUN
ejpam-6232	150	7	)	)	PUNCT
ejpam-6232	150	8	eiα	eiα	PROPN
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ejpam-6232	150	10	)	)	PUNCT
ejpam-6232	150	11	s2(ξ	s2(ξ	NOUN
ejpam-6232	150	12	,	,	PUNCT
ejpam-6232	150	13	t	t	PROPN
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ejpam-6232	150	17	(	(	PUNCT
ejpam-6232	150	18	ξ	ξ	PROPN
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ejpam-6232	150	20	0;β	0;β	PROPN
ejpam-6232	150	21	,	,	PUNCT
ejpam-6232	150	22	θ	θ	NOUN
ejpam-6232	150	23	)	)	PUNCT
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ejpam-6232	152	1	′	′	NUM
ejpam-6232	152	2	3	3	NUM
ejpam-6232	152	3	(	(	PUNCT
ejpam-6232	152	4	β	β	NOUN
ejpam-6232	152	5	)	)	PUNCT
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ejpam-6232	152	7	w3(θ	w3(θ	PROPN
ejpam-6232	152	8	)	)	PUNCT
ejpam-6232	152	9	s3(ξ	s3(ξ	NUM
ejpam-6232	152	10	)	)	PUNCT
ejpam-6232	152	11	u	u	NOUN
ejpam-6232	152	12	′	′	NOUN
ejpam-6232	152	13	(	(	PUNCT
ejpam-6232	152	14	0	0	NUM
ejpam-6232	152	15	,	,	PUNCT
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ejpam-6232	152	17	,	,	PUNCT
ejpam-6232	152	18	θ	θ	NOUN
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ejpam-6232	152	20	=	=	PUNCT
ejpam-6232	152	21	q	q	NOUN
ejpam-6232	153	1	′	′	NUM
ejpam-6232	153	2	4	4	NUM
ejpam-6232	153	3	(	(	PUNCT
ejpam-6232	153	4	β	β	NOUN
ejpam-6232	153	5	)	)	PUNCT
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ejpam-6232	153	8	)	)	PUNCT
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ejpam-6232	153	10	)	)	PUNCT
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ejpam-6232	153	13	′	′	NOUN
ejpam-6232	153	14	(	(	PUNCT
ejpam-6232	153	15	l	l	NOUN
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ejpam-6232	153	17	t;β	t;β	PROPN
ejpam-6232	153	18	,	,	PUNCT
ejpam-6232	153	19	θ	θ	NOUN
ejpam-6232	153	20	)	)	PUNCT
ejpam-6232	153	21	=	=	PUNCT
ejpam-6232	153	22	q	q	NOUN
ejpam-6232	154	1	′	′	NUM
ejpam-6232	154	2	5	5	NUM
ejpam-6232	154	3	(	(	PUNCT
ejpam-6232	154	4	β	β	NOUN
ejpam-6232	154	5	)	)	PUNCT
ejpam-6232	154	6	eiα	eiα	NOUN
ejpam-6232	154	7	w5(θ	w5(θ	PROPN
ejpam-6232	154	8	)	)	PUNCT
ejpam-6232	154	9	s5(t	s5(t	NOUN
ejpam-6232	154	10	)	)	PUNCT
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ejpam-6232	154	12	18	18	NUM
ejpam-6232	154	13	)	)	PUNCT
ejpam-6232	154	14			X
ejpam-6232	154	15	∂u′	∂u′	NOUN
ejpam-6232	154	16	(	(	PUNCT
ejpam-6232	154	17	ξ	ξ	PROPN
ejpam-6232	154	18	,	,	PUNCT
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ejpam-6232	154	20	,	,	PUNCT
ejpam-6232	154	21	θ	θ	NOUN
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ejpam-6232	154	24	=	=	PUNCT
ejpam-6232	154	25	[	[	PUNCT
ejpam-6232	154	26	q′	q′	NOUN
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ejpam-6232	154	28	)	)	PUNCT
ejpam-6232	154	29	e	e	NOUN
ejpam-6232	154	30	iα	iα	NOUN
ejpam-6232	154	31	w1(θ	w1(θ	NOUN
ejpam-6232	154	32	)	)	PUNCT
ejpam-6232	154	33	s1(ξ	s1(ξ	PROPN
ejpam-6232	154	34	,	,	PUNCT
ejpam-6232	154	35	t	t	PROPN
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ejpam-6232	154	39	(	(	PUNCT
ejpam-6232	154	40	ξ	ξ	PROPN
ejpam-6232	154	41	,	,	PUNCT
ejpam-6232	154	42	t;β	t;β	PROPN
ejpam-6232	154	43	,	,	PUNCT
ejpam-6232	154	44	θ	θ	NOUN
ejpam-6232	154	45	)	)	PUNCT
ejpam-6232	154	46	∂ξ2	∂ξ2	NOUN
ejpam-6232	155	1	+	+	CCONJ
ejpam-6232	155	2	q′	q′	NOUN
ejpam-6232	155	3	2(β	2(β	NUM
ejpam-6232	155	4	)	)	PUNCT
ejpam-6232	155	5	e	e	X
ejpam-6232	155	6	iα	iα	NOUN
ejpam-6232	155	7	w2(θ	w2(θ	X
ejpam-6232	155	8	)	)	PUNCT
ejpam-6232	155	9	s2(ξ	s2(ξ	NOUN
ejpam-6232	155	10	,	,	PUNCT
ejpam-6232	155	11	t	t	PROPN
ejpam-6232	155	12	)	)	PUNCT
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ejpam-6232	155	17	θ	θ	NOUN
ejpam-6232	155	18	)	)	PUNCT
ejpam-6232	155	19	=	=	SYM
ejpam-6232	155	20	q′	q′	NOUN
ejpam-6232	155	21	3(β	3(β	NUM
ejpam-6232	155	22	)	)	PUNCT
ejpam-6232	155	23	e	e	NOUN
ejpam-6232	155	24	iα	iα	NOUN
ejpam-6232	155	25	w3(θ	w3(θ	PROPN
ejpam-6232	155	26	)	)	PUNCT
ejpam-6232	155	27	s3(ξ	s3(ξ	NUM
ejpam-6232	155	28	)	)	PUNCT
ejpam-6232	155	29	u′(0	u′(0	PROPN
ejpam-6232	155	30	,	,	PUNCT
ejpam-6232	155	31	t;β	t;β	PROPN
ejpam-6232	155	32	,	,	PUNCT
ejpam-6232	155	33	θ	θ	NOUN
ejpam-6232	155	34	)	)	PUNCT
ejpam-6232	155	35	=	=	SYM
ejpam-6232	155	36	q′	q′	NOUN
ejpam-6232	155	37	4(β	4(β	NUM
ejpam-6232	155	38	)	)	PUNCT
ejpam-6232	155	39	e	e	X
ejpam-6232	155	40	iα	iα	X
ejpam-6232	155	41	w4(θ	w4(θ	NUM
ejpam-6232	155	42	)	)	PUNCT
ejpam-6232	155	43	s4(t	s4(t	PROPN
ejpam-6232	155	44	)	)	PUNCT
ejpam-6232	155	45	,	,	PUNCT
ejpam-6232	156	1	u′(l	u′(l	PROPN
ejpam-6232	156	2	,	,	PUNCT
ejpam-6232	156	3	t;β	t;β	PROPN
ejpam-6232	156	4	,	,	PUNCT
ejpam-6232	156	5	θ	θ	NOUN
ejpam-6232	156	6	)	)	PUNCT
ejpam-6232	156	7	=	=	SYM
ejpam-6232	156	8	q′	q′	NOUN
ejpam-6232	156	9	5(β	5(β	NUM
ejpam-6232	156	10	)	)	PUNCT
ejpam-6232	156	11	e	e	NOUN
ejpam-6232	156	12	iα	iα	X
ejpam-6232	156	13	w5(θ	w5(θ	NOUN
ejpam-6232	156	14	)	)	PUNCT
ejpam-6232	156	15	s5(t	s5(t	NOUN
ejpam-6232	156	16	)	)	PUNCT
ejpam-6232	156	17	(	(	PUNCT
ejpam-6232	156	18	19	19	NUM
ejpam-6232	156	19	)	)	PUNCT
ejpam-6232	156	20	the	the	DET
ejpam-6232	156	21	eq	eq	NOUN
ejpam-6232	156	22	.	.	PROPN
ejpam-6232	156	23	16	16	NUM
ejpam-6232	156	24	and	and	CCONJ
ejpam-6232	156	25	eq	eq	NOUN
ejpam-6232	156	26	.	.	PROPN
ejpam-6232	156	27	17	17	NUM
ejpam-6232	156	28	display	display	VERB
ejpam-6232	156	29	the	the	DET
ejpam-6232	156	30	lower	low	ADJ
ejpam-6232	156	31	and	and	CCONJ
ejpam-6232	156	32	upper	upper	ADJ
ejpam-6232	156	33	bounds	bound	NOUN
ejpam-6232	156	34	of	of	ADP
ejpam-6232	156	35	membership	membership	NOUN
ejpam-6232	156	36	function	function	NOUN
ejpam-6232	156	37	respectively	respectively	ADV
ejpam-6232	156	38	of	of	ADP
ejpam-6232	156	39	the	the	DET
ejpam-6232	156	40	general	general	ADJ
ejpam-6232	156	41	form	form	NOUN
ejpam-6232	156	42	of	of	ADP
ejpam-6232	156	43	cif	cif	PROPN
ejpam-6232	156	44	heat	heat	NOUN
ejpam-6232	156	45	equation	equation	NOUN
ejpam-6232	156	46	while	while	SCONJ
ejpam-6232	156	47	the	the	DET
ejpam-6232	156	48	eq	eq	NOUN
ejpam-6232	156	49	.	.	PROPN
ejpam-6232	156	50	18	18	NUM
ejpam-6232	156	51	and	and	CCONJ
ejpam-6232	156	52	eq	eq	NOUN
ejpam-6232	156	53	.	.	PROPN
ejpam-6232	156	54	19	19	NUM
ejpam-6232	156	55	present	present	VERB
ejpam-6232	156	56	the	the	DET
ejpam-6232	156	57	lower	low	ADJ
ejpam-6232	156	58	and	and	CCONJ
ejpam-6232	156	59	upper	upper	ADJ
ejpam-6232	156	60	bounds	bound	NOUN
ejpam-6232	156	61	of	of	ADP
ejpam-6232	156	62	non	non	ADJ
ejpam-6232	156	63	-	-	ADJ
ejpam-6232	156	64	membership	membership	ADJ
ejpam-6232	156	65	function	function	NOUN
ejpam-6232	156	66	respectively	respectively	ADV
ejpam-6232	156	67	of	of	ADP
ejpam-6232	156	68	the	the	DET
ejpam-6232	156	69	general	general	ADJ
ejpam-6232	156	70	form	form	NOUN
ejpam-6232	156	71	of	of	ADP
ejpam-6232	156	72	cif	cif	PROPN
ejpam-6232	156	73	heat	heat	NOUN
ejpam-6232	156	74	equation	equation	NOUN
ejpam-6232	156	75	.	.	PUNCT
ejpam-6232	157	1	3	3	X
ejpam-6232	157	2	.	.	X
ejpam-6232	157	3	forward	forward	ADJ
ejpam-6232	157	4	time	time	NOUN
ejpam-6232	157	5	centered	center	VERB
ejpam-6232	157	6	space	space	NOUN
ejpam-6232	157	7	scheme	scheme	NOUN
ejpam-6232	157	8	for	for	ADP
ejpam-6232	157	9	solution	solution	NOUN
ejpam-6232	157	10	of	of	ADP
ejpam-6232	157	11	complex	complex	ADJ
ejpam-6232	157	12	intuitionistic	intuitionistic	ADJ
ejpam-6232	157	13	fuzzy	fuzzy	ADJ
ejpam-6232	157	14	heat	heat	NOUN
ejpam-6232	157	15	equation	equation	NOUN
ejpam-6232	157	16	this	this	DET
ejpam-6232	157	17	section	section	NOUN
ejpam-6232	157	18	highlights	highlight	VERB
ejpam-6232	157	19	the	the	DET
ejpam-6232	157	20	adaptation	adaptation	NOUN
ejpam-6232	157	21	and	and	CCONJ
ejpam-6232	157	22	utilization	utilization	NOUN
ejpam-6232	157	23	of	of	ADP
ejpam-6232	157	24	a	a	DET
ejpam-6232	157	25	forward	forward	ADJ
ejpam-6232	157	26	difference	difference	NOUN
ejpam-6232	157	27	for	for	ADP
ejpam-6232	157	28	the	the	DET
ejpam-6232	157	29	first	first	ADJ
ejpam-6232	157	30	order	order	NOUN
ejpam-6232	157	31	derivative	derivative	NOUN
ejpam-6232	157	32	in	in	ADP
ejpam-6232	157	33	time	time	NOUN
ejpam-6232	157	34	with	with	ADP
ejpam-6232	157	35	centre	centre	ADJ
ejpam-6232	157	36	difference	difference	NOUN
ejpam-6232	157	37	for	for	ADP
ejpam-6232	157	38	the	the	DET
ejpam-6232	157	39	second	second	ADJ
ejpam-6232	157	40	-	-	PUNCT
ejpam-6232	157	41	order	order	NOUN
ejpam-6232	157	42	derivative	derivative	NOUN
ejpam-6232	157	43	in	in	ADP
ejpam-6232	157	44	space	space	NOUN
ejpam-6232	157	45	to	to	PART
ejpam-6232	157	46	solve	solve	VERB
ejpam-6232	157	47	the	the	DET
ejpam-6232	157	48	cif	cif	PROPN
ejpam-6232	157	49	heat	heat	NOUN
ejpam-6232	157	50	equation	equation	NOUN
ejpam-6232	157	51	,	,	PUNCT
ejpam-6232	157	52	the	the	DET
ejpam-6232	157	53	partial	partial	ADJ
ejpam-6232	157	54	time	time	NOUN
ejpam-6232	157	55	derivative	derivative	ADJ
ejpam-6232	157	56	∂u(ξ	∂u(ξ	PROPN
ejpam-6232	157	57	,	,	PUNCT
ejpam-6232	157	58	t	t	PROPN
ejpam-6232	157	59	;	;	PUNCT
ejpam-6232	157	60	r	r	X
ejpam-6232	157	61	,	,	PUNCT
ejpam-6232	157	62	θ	θ	NOUN
ejpam-6232	157	63	)	)	PUNCT
ejpam-6232	157	64	∂t	∂t	PROPN
ejpam-6232	157	65	,	,	PUNCT
ejpam-6232	157	66	∂u(ξ	∂u(ξ	PROPN
ejpam-6232	157	67	,	,	PUNCT
ejpam-6232	157	68	t	t	PROPN
ejpam-6232	157	69	;	;	PUNCT
ejpam-6232	157	70	r	r	X
ejpam-6232	157	71	,	,	PUNCT
ejpam-6232	157	72	θ	θ	NOUN
ejpam-6232	157	73	)	)	PUNCT
ejpam-6232	157	74	∂t	∂t	PROPN
ejpam-6232	157	75	,	,	PUNCT
ejpam-6232	157	76	∂u	∂u	PROPN
ejpam-6232	157	77	′	′	NUM
ejpam-6232	157	78	(	(	PUNCT
ejpam-6232	157	79	ξ	ξ	PROPN
ejpam-6232	157	80	,	,	PUNCT
ejpam-6232	157	81	t;β	t;β	PROPN
ejpam-6232	157	82	,	,	PUNCT
ejpam-6232	157	83	θ	θ	PROPN
ejpam-6232	157	84	)	)	PUNCT
ejpam-6232	157	85	∂t	∂t	PROPN
ejpam-6232	157	86	,	,	PUNCT
ejpam-6232	157	87	∂u′(ξ	∂u′(ξ	PROPN
ejpam-6232	157	88	,	,	PUNCT
ejpam-6232	157	89	t;β	t;β	NOUN
ejpam-6232	157	90	,	,	PUNCT
ejpam-6232	157	91	θ	θ	NOUN
ejpam-6232	157	92	)	)	PUNCT
ejpam-6232	158	1	∂t	∂t	PROPN
ejpam-6232	158	2	is	be	AUX
ejpam-6232	158	3	discretised	discretise	VERB
ejpam-6232	158	4	as	as	SCONJ
ejpam-6232	158	5	follows	follow	VERB
ejpam-6232	158	6	:	:	PUNCT
ejpam-6232	158	7	∂ui	∂ui	PROPN
ejpam-6232	158	8	,	,	PUNCT
ejpam-6232	158	9	j(ξ	j(ξ	PROPN
ejpam-6232	158	10	,	,	PUNCT
ejpam-6232	158	11	t	t	PROPN
ejpam-6232	158	12	;	;	PUNCT
ejpam-6232	158	13	r	r	X
ejpam-6232	158	14	,	,	PUNCT
ejpam-6232	158	15	θ	θ	NOUN
ejpam-6232	158	16	)	)	PUNCT
ejpam-6232	158	17	∂t	∂t	PROPN
ejpam-6232	158	18	=	=	SYM
ejpam-6232	158	19	ui	ui	PROPN
ejpam-6232	158	20	,	,	PUNCT
ejpam-6232	158	21	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	158	22	,	,	PUNCT
ejpam-6232	158	23	t	t	PROPN
ejpam-6232	158	24	;	;	PUNCT
ejpam-6232	159	1	r	r	X
ejpam-6232	159	2	,	,	PUNCT
ejpam-6232	159	3	θ)−	θ)−	PROPN
ejpam-6232	159	4	ui	ui	PROPN
ejpam-6232	159	5	,	,	PUNCT
ejpam-6232	159	6	j(ξ	j(ξ	PROPN
ejpam-6232	159	7	,	,	PUNCT
ejpam-6232	159	8	t	t	PROPN
ejpam-6232	159	9	;	;	PUNCT
ejpam-6232	159	10	r	r	NOUN
ejpam-6232	159	11	,	,	PUNCT
ejpam-6232	159	12	θ	θ	NOUN
ejpam-6232	159	13	)	)	PUNCT
ejpam-6232	159	14	∆t	∆t	PROPN
ejpam-6232	159	15	(	(	PUNCT
ejpam-6232	159	16	20	20	NUM
ejpam-6232	159	17	)	)	PUNCT
ejpam-6232	159	18	∂ui	∂ui	PROPN
ejpam-6232	159	19	,	,	PUNCT
ejpam-6232	159	20	j(ξ	j(ξ	PROPN
ejpam-6232	159	21	,	,	PUNCT
ejpam-6232	159	22	t	t	PROPN
ejpam-6232	159	23	;	;	PUNCT
ejpam-6232	159	24	r	r	X
ejpam-6232	159	25	,	,	PUNCT
ejpam-6232	159	26	θ	θ	NOUN
ejpam-6232	159	27	)	)	PUNCT
ejpam-6232	159	28	∂t	∂t	PROPN
ejpam-6232	159	29	=	=	SYM
ejpam-6232	159	30	ui	ui	PROPN
ejpam-6232	159	31	,	,	PUNCT
ejpam-6232	159	32	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	159	33	,	,	PUNCT
ejpam-6232	159	34	t	t	PROPN
ejpam-6232	159	35	;	;	PUNCT
ejpam-6232	159	36	r	r	X
ejpam-6232	159	37	,	,	PUNCT
ejpam-6232	159	38	θ)−	θ)−	PROPN
ejpam-6232	159	39	ui	ui	PROPN
ejpam-6232	159	40	,	,	PUNCT
ejpam-6232	159	41	j(ξ	j(ξ	PROPN
ejpam-6232	159	42	,	,	PUNCT
ejpam-6232	159	43	t	t	PROPN
ejpam-6232	159	44	;	;	PUNCT
ejpam-6232	159	45	r	r	NOUN
ejpam-6232	159	46	,	,	PUNCT
ejpam-6232	159	47	θ	θ	NOUN
ejpam-6232	159	48	)	)	PUNCT
ejpam-6232	159	49	∆t	∆t	PROPN
ejpam-6232	159	50	(	(	PUNCT
ejpam-6232	159	51	21	21	NUM
ejpam-6232	159	52	)	)	PUNCT
ejpam-6232	159	53	∂u	∂u	NOUN
ejpam-6232	159	54	′	′	NUM
ejpam-6232	160	1	i	i	PROPN
ejpam-6232	160	2	,	,	PUNCT
ejpam-6232	160	3	j(ξ	j(ξ	PROPN
ejpam-6232	160	4	,	,	PUNCT
ejpam-6232	160	5	t;β	t;β	NOUN
ejpam-6232	160	6	,	,	PUNCT
ejpam-6232	160	7	θ	θ	NOUN
ejpam-6232	160	8	)	)	PUNCT
ejpam-6232	160	9	∂t	∂t	PROPN
ejpam-6232	160	10	=	=	SYM
ejpam-6232	160	11	u	u	NOUN
ejpam-6232	160	12	′	′	NUM
ejpam-6232	161	1	i	i	PRON
ejpam-6232	161	2	,	,	PUNCT
ejpam-6232	161	3	j+1(ξ	j+1(ξ	ADV
ejpam-6232	161	4	,	,	PUNCT
ejpam-6232	161	5	t;β	t;β	NOUN
ejpam-6232	161	6	,	,	PUNCT
ejpam-6232	161	7	θ)−	θ)−	PROPN
ejpam-6232	161	8	u	u	NOUN
ejpam-6232	162	1	′	′	NUM
ejpam-6232	162	2	i	i	PROPN
ejpam-6232	162	3	,	,	PUNCT
ejpam-6232	162	4	j(ξ	j(ξ	PROPN
ejpam-6232	162	5	,	,	PUNCT
ejpam-6232	162	6	t;β	t;β	NOUN
ejpam-6232	162	7	,	,	PUNCT
ejpam-6232	162	8	θ	θ	NOUN
ejpam-6232	162	9	)	)	PUNCT
ejpam-6232	162	10	∆t	∆t	PROPN
ejpam-6232	162	11	(	(	PUNCT
ejpam-6232	162	12	22	22	NUM
ejpam-6232	162	13	)	)	PUNCT
ejpam-6232	162	14	a.	a.	NOUN
ejpam-6232	162	15	u.	u.	PROPN
ejpam-6232	162	16	alkouri	alkouri	PROPN
ejpam-6232	162	17	et	et	PROPN
ejpam-6232	162	18	al	al	PROPN
ejpam-6232	162	19	.	.	PUNCT
ejpam-6232	162	20	/	/	SYM
ejpam-6232	162	21	eur	eur	PROPN
ejpam-6232	162	22	.	.	PUNCT
ejpam-6232	163	1	j.	j.	PROPN
ejpam-6232	163	2	pure	pure	PROPN
ejpam-6232	163	3	appl	appl	PROPN
ejpam-6232	163	4	.	.	PROPN
ejpam-6232	163	5	math	math	PROPN
ejpam-6232	163	6	,	,	PUNCT
ejpam-6232	163	7	18	18	NUM
ejpam-6232	163	8	(	(	PUNCT
ejpam-6232	163	9	3	3	NUM
ejpam-6232	163	10	)	)	PUNCT
ejpam-6232	163	11	(	(	PUNCT
ejpam-6232	163	12	2025	2025	NUM
ejpam-6232	163	13	)	)	PUNCT
ejpam-6232	163	14	,	,	PUNCT
ejpam-6232	163	15	6232	6232	NUM
ejpam-6232	163	16	8	8	NUM
ejpam-6232	163	17	of	of	ADP
ejpam-6232	163	18	15	15	NUM
ejpam-6232	163	19	∂u′	∂u′	NOUN
ejpam-6232	163	20	i	i	PRON
ejpam-6232	163	21	,	,	PUNCT
ejpam-6232	163	22	j(ξ	j(ξ	PROPN
ejpam-6232	163	23	,	,	PUNCT
ejpam-6232	163	24	t;β	t;β	NOUN
ejpam-6232	163	25	,	,	PUNCT
ejpam-6232	163	26	θ	θ	NOUN
ejpam-6232	163	27	)	)	PUNCT
ejpam-6232	163	28	∂t	∂t	PROPN
ejpam-6232	163	29	=	=	SYM
ejpam-6232	163	30	u′	u′	PROPN
ejpam-6232	163	31	i	i	PRON
ejpam-6232	163	32	,	,	PUNCT
ejpam-6232	163	33	j+1(ξ	j+1(ξ	ADV
ejpam-6232	163	34	,	,	PUNCT
ejpam-6232	163	35	t;β	t;β	INTJ
ejpam-6232	163	36	,	,	PUNCT
ejpam-6232	163	37	θ)−	θ)−	PROPN
ejpam-6232	163	38	u′	u′	PROPN
ejpam-6232	163	39	i	i	PRON
ejpam-6232	163	40	,	,	PUNCT
ejpam-6232	163	41	j(ξ	j(ξ	PROPN
ejpam-6232	163	42	,	,	PUNCT
ejpam-6232	163	43	t;β	t;β	NOUN
ejpam-6232	163	44	,	,	PUNCT
ejpam-6232	163	45	θ	θ	NOUN
ejpam-6232	163	46	)	)	PUNCT
ejpam-6232	163	47	∆t	∆t	PROPN
ejpam-6232	163	48	(	(	PUNCT
ejpam-6232	163	49	23	23	NUM
ejpam-6232	163	50	)	)	PUNCT
ejpam-6232	163	51	furthermore	furthermore	ADV
ejpam-6232	163	52	,	,	PUNCT
ejpam-6232	163	53	the	the	DET
ejpam-6232	163	54	second	second	ADJ
ejpam-6232	163	55	fuzzy	fuzzy	ADJ
ejpam-6232	163	56	partial	partial	ADJ
ejpam-6232	163	57	derivatives	derivative	NOUN
ejpam-6232	163	58	∂2ui	∂2ui	NOUN
ejpam-6232	163	59	,	,	PUNCT
ejpam-6232	163	60	j(ξ	j(ξ	PROPN
ejpam-6232	163	61	,	,	PUNCT
ejpam-6232	163	62	t	t	PROPN
ejpam-6232	163	63	;	;	PUNCT
ejpam-6232	163	64	r	r	NOUN
ejpam-6232	163	65	,	,	PUNCT
ejpam-6232	163	66	θ	θ	NOUN
ejpam-6232	163	67	)	)	PUNCT
ejpam-6232	163	68	dξ2	dξ2	NOUN
ejpam-6232	163	69	,	,	PUNCT
ejpam-6232	163	70	∂2ui	∂2ui	PROPN
ejpam-6232	163	71	,	,	PUNCT
ejpam-6232	163	72	j(ξ	j(ξ	PROPN
ejpam-6232	163	73	,	,	PUNCT
ejpam-6232	163	74	t	t	PROPN
ejpam-6232	163	75	;	;	PUNCT
ejpam-6232	163	76	r	r	NOUN
ejpam-6232	163	77	,	,	PUNCT
ejpam-6232	163	78	θ	θ	NOUN
ejpam-6232	163	79	)	)	PUNCT
ejpam-6232	163	80	dξ2	dξ2	NOUN
ejpam-6232	163	81	,	,	PUNCT
ejpam-6232	163	82	∂2u	∂2u	PROPN
ejpam-6232	163	83	′	′	NUM
ejpam-6232	164	1	i	i	PROPN
ejpam-6232	164	2	,	,	PUNCT
ejpam-6232	164	3	j(ξ	j(ξ	PROPN
ejpam-6232	164	4	,	,	PUNCT
ejpam-6232	164	5	t;β	t;β	NOUN
ejpam-6232	164	6	,	,	PUNCT
ejpam-6232	164	7	θ	θ	NOUN
ejpam-6232	164	8	)	)	PUNCT
ejpam-6232	164	9	dξ2	dξ2	NOUN
ejpam-6232	164	10	,	,	PUNCT
ejpam-6232	164	11	∂2u′	∂2u′	PROPN
ejpam-6232	164	12	i	i	PROPN
ejpam-6232	164	13	,	,	PUNCT
ejpam-6232	164	14	j(ξ	j(ξ	PROPN
ejpam-6232	164	15	,	,	PUNCT
ejpam-6232	164	16	t;β	t;β	NOUN
ejpam-6232	164	17	,	,	PUNCT
ejpam-6232	164	18	θ	θ	NOUN
ejpam-6232	164	19	)	)	PUNCT
ejpam-6232	164	20	dξ2	dξ2	NOUN
ejpam-6232	164	21	can	can	AUX
ejpam-6232	164	22	be	be	AUX
ejpam-6232	164	23	formulated	formulate	VERB
ejpam-6232	164	24	as	as	ADP
ejpam-6232	164	25	:	:	PUNCT
ejpam-6232	164	26	∂2ui	∂2ui	PROPN
ejpam-6232	164	27	,	,	PUNCT
ejpam-6232	164	28	j(ξ	j(ξ	PROPN
ejpam-6232	164	29	,	,	PUNCT
ejpam-6232	164	30	t	t	PROPN
ejpam-6232	164	31	;	;	PUNCT
ejpam-6232	164	32	r	r	NOUN
ejpam-6232	164	33	,	,	PUNCT
ejpam-6232	164	34	θ	θ	NOUN
ejpam-6232	164	35	)	)	PUNCT
ejpam-6232	164	36	dξ2	dξ2	NOUN
ejpam-6232	164	37	=	=	SYM
ejpam-6232	164	38	ui+1,j(ξ	ui+1,j(ξ	PROPN
ejpam-6232	164	39	,	,	PUNCT
ejpam-6232	164	40	t	t	PROPN
ejpam-6232	164	41	;	;	PUNCT
ejpam-6232	164	42	r	r	X
ejpam-6232	164	43	,	,	PUNCT
ejpam-6232	164	44	θ)−	θ)−	PROPN
ejpam-6232	164	45	2ui	2ui	NOUN
ejpam-6232	164	46	,	,	PUNCT
ejpam-6232	164	47	j(ξ	j(ξ	PROPN
ejpam-6232	164	48	,	,	PUNCT
ejpam-6232	164	49	t	t	PROPN
ejpam-6232	164	50	;	;	PUNCT
ejpam-6232	164	51	r	r	NOUN
ejpam-6232	164	52	,	,	PUNCT
ejpam-6232	164	53	θ	θ	NOUN
ejpam-6232	164	54	)	)	PUNCT
ejpam-6232	165	1	+	+	NUM
ejpam-6232	165	2	ui−1,j(ξ	ui−1,j(ξ	SYM
ejpam-6232	165	3	,	,	PUNCT
ejpam-6232	165	4	t	t	PROPN
ejpam-6232	165	5	;	;	PUNCT
ejpam-6232	165	6	r	r	X
ejpam-6232	165	7	,	,	PUNCT
ejpam-6232	165	8	θ	θ	NOUN
ejpam-6232	165	9	)	)	PUNCT
ejpam-6232	165	10	∆ξ2	∆ξ2	PROPN
ejpam-6232	165	11	(	(	PUNCT
ejpam-6232	165	12	24	24	NUM
ejpam-6232	165	13	)	)	PUNCT
ejpam-6232	165	14	∂2ui	∂2ui	PROPN
ejpam-6232	165	15	,	,	PUNCT
ejpam-6232	165	16	j(ξ	j(ξ	PROPN
ejpam-6232	165	17	,	,	PUNCT
ejpam-6232	165	18	t	t	PROPN
ejpam-6232	165	19	;	;	PUNCT
ejpam-6232	165	20	r	r	NOUN
ejpam-6232	165	21	,	,	PUNCT
ejpam-6232	165	22	θ	θ	NOUN
ejpam-6232	165	23	)	)	PUNCT
ejpam-6232	165	24	dξ2	dξ2	NOUN
ejpam-6232	165	25	=	=	SYM
ejpam-6232	165	26	ui+1,j(ξ	ui+1,j(ξ	PROPN
ejpam-6232	165	27	,	,	PUNCT
ejpam-6232	165	28	t	t	PROPN
ejpam-6232	165	29	;	;	PUNCT
ejpam-6232	165	30	r	r	X
ejpam-6232	165	31	,	,	PUNCT
ejpam-6232	165	32	θ)−	θ)−	PROPN
ejpam-6232	165	33	2ui	2ui	NOUN
ejpam-6232	165	34	,	,	PUNCT
ejpam-6232	165	35	j(ξ	j(ξ	PROPN
ejpam-6232	165	36	,	,	PUNCT
ejpam-6232	165	37	t	t	PROPN
ejpam-6232	165	38	;	;	PUNCT
ejpam-6232	165	39	r	r	NOUN
ejpam-6232	165	40	,	,	PUNCT
ejpam-6232	165	41	θ	θ	NOUN
ejpam-6232	165	42	)	)	PUNCT
ejpam-6232	165	43	+	+	NUM
ejpam-6232	165	44	ui−1,j(ξ	ui−1,j(ξ	SYM
ejpam-6232	165	45	,	,	PUNCT
ejpam-6232	165	46	t	t	PROPN
ejpam-6232	165	47	;	;	PUNCT
ejpam-6232	165	48	r	r	X
ejpam-6232	165	49	,	,	PUNCT
ejpam-6232	165	50	θ	θ	NOUN
ejpam-6232	165	51	)	)	PUNCT
ejpam-6232	165	52	∆ξ2	∆ξ2	PROPN
ejpam-6232	165	53	(	(	PUNCT
ejpam-6232	165	54	25	25	NUM
ejpam-6232	165	55	)	)	PUNCT
ejpam-6232	165	56	∂2u	∂2u	PROPN
ejpam-6232	165	57	′	′	NUM
ejpam-6232	166	1	i	i	PROPN
ejpam-6232	166	2	,	,	PUNCT
ejpam-6232	166	3	j(ξ	j(ξ	PROPN
ejpam-6232	166	4	,	,	PUNCT
ejpam-6232	166	5	t;β	t;β	NOUN
ejpam-6232	166	6	,	,	PUNCT
ejpam-6232	166	7	θ	θ	NOUN
ejpam-6232	166	8	)	)	PUNCT
ejpam-6232	166	9	dξ2	dξ2	NOUN
ejpam-6232	166	10	=	=	SYM
ejpam-6232	166	11	u	u	NOUN
ejpam-6232	166	12	′	′	NOUN
ejpam-6232	166	13	i+1,j(ξ	i+1,j(ξ	PROPN
ejpam-6232	166	14	,	,	PUNCT
ejpam-6232	166	15	t;β	t;β	PROPN
ejpam-6232	166	16	,	,	PUNCT
ejpam-6232	166	17	θ)−	θ)−	PROPN
ejpam-6232	166	18	2u	2u	NOUN
ejpam-6232	166	19	′	′	NUM
ejpam-6232	166	20	i	i	PROPN
ejpam-6232	166	21	,	,	PUNCT
ejpam-6232	166	22	j(ξ	j(ξ	PROPN
ejpam-6232	166	23	,	,	PUNCT
ejpam-6232	166	24	t;β	t;β	NOUN
ejpam-6232	166	25	,	,	PUNCT
ejpam-6232	166	26	θ	θ	NOUN
ejpam-6232	166	27	)	)	PUNCT
ejpam-6232	167	1	+	+	NUM
ejpam-6232	167	2	u	u	NOUN
ejpam-6232	167	3	′	′	NOUN
ejpam-6232	167	4	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	167	5	,	,	PUNCT
ejpam-6232	167	6	t;β	t;β	NOUN
ejpam-6232	167	7	,	,	PUNCT
ejpam-6232	167	8	θ	θ	PROPN
ejpam-6232	167	9	)	)	PUNCT
ejpam-6232	167	10	∆ξ2	∆ξ2	PROPN
ejpam-6232	167	11	(	(	PUNCT
ejpam-6232	167	12	26	26	NUM
ejpam-6232	167	13	)	)	PUNCT
ejpam-6232	167	14	∂2u′	∂2u′	PROPN
ejpam-6232	168	1	i	i	PROPN
ejpam-6232	168	2	,	,	PUNCT
ejpam-6232	168	3	j(ξ	j(ξ	PROPN
ejpam-6232	168	4	,	,	PUNCT
ejpam-6232	168	5	t;β	t;β	NOUN
ejpam-6232	168	6	,	,	PUNCT
ejpam-6232	168	7	θ	θ	NOUN
ejpam-6232	168	8	)	)	PUNCT
ejpam-6232	168	9	dξ2	dξ2	NOUN
ejpam-6232	168	10	=	=	PUNCT
ejpam-6232	168	11	u′	u′	PROPN
ejpam-6232	168	12	i+1,j(ξ	i+1,j(ξ	PROPN
ejpam-6232	168	13	,	,	PUNCT
ejpam-6232	168	14	t;β	t;β	PROPN
ejpam-6232	168	15	,	,	PUNCT
ejpam-6232	168	16	θ)−	θ)−	PROPN
ejpam-6232	168	17	2u′	2u′	NUM
ejpam-6232	168	18	i	i	PROPN
ejpam-6232	168	19	,	,	PUNCT
ejpam-6232	168	20	j(ξ	j(ξ	PROPN
ejpam-6232	168	21	,	,	PUNCT
ejpam-6232	168	22	t;β	t;β	NOUN
ejpam-6232	168	23	,	,	PUNCT
ejpam-6232	168	24	θ	θ	NOUN
ejpam-6232	168	25	)	)	PUNCT
ejpam-6232	169	1	+	+	CCONJ
ejpam-6232	169	2	u′	u′	PROPN
ejpam-6232	169	3	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	169	4	,	,	PUNCT
ejpam-6232	169	5	t;β	t;β	PROPN
ejpam-6232	169	6	,	,	PUNCT
ejpam-6232	169	7	θ	θ	PROPN
ejpam-6232	169	8	)	)	PUNCT
ejpam-6232	169	9	∆ξ2	∆ξ2	PROPN
ejpam-6232	169	10	(	(	PUNCT
ejpam-6232	169	11	27	27	NUM
ejpam-6232	169	12	)	)	PUNCT
ejpam-6232	169	13	now	now	ADV
ejpam-6232	169	14	substitute	substitute	VERB
ejpam-6232	169	15	eq	eq	ADP
ejpam-6232	169	16	.	.	PROPN
ejpam-6232	169	17	20	20	NUM
ejpam-6232	169	18	,	,	PUNCT
ejpam-6232	169	19	21	21	NUM
ejpam-6232	169	20	,	,	PUNCT
ejpam-6232	169	21	22	22	NUM
ejpam-6232	169	22	,	,	PUNCT
ejpam-6232	169	23	23	23	NUM
ejpam-6232	169	24	,	,	PUNCT
ejpam-6232	169	25	24	24	NUM
ejpam-6232	169	26	,	,	PUNCT
ejpam-6232	169	27	25	25	NUM
ejpam-6232	169	28	,	,	PUNCT
ejpam-6232	169	29	26	26	NUM
ejpam-6232	169	30	,	,	PUNCT
ejpam-6232	169	31	and	and	CCONJ
ejpam-6232	169	32	27	27	NUM
ejpam-6232	169	33	in	in	ADP
ejpam-6232	169	34	eq	eq	ADP
ejpam-6232	169	35	.	.	PROPN
ejpam-6232	169	36	16	16	NUM
ejpam-6232	169	37	,	,	PUNCT
ejpam-6232	169	38	17	17	NUM
ejpam-6232	169	39	,	,	PUNCT
ejpam-6232	169	40	18	18	NUM
ejpam-6232	169	41	,	,	PUNCT
ejpam-6232	169	42	and	and	CCONJ
ejpam-6232	169	43	19	19	NUM
ejpam-6232	169	44	respectively	respectively	ADV
ejpam-6232	169	45	in	in	ADP
ejpam-6232	169	46	order	order	NOUN
ejpam-6232	169	47	to	to	PART
ejpam-6232	169	48	obtain	obtain	VERB
ejpam-6232	169	49	the	the	DET
ejpam-6232	169	50	following	following	NOUN
ejpam-6232	169	51	:	:	PUNCT
ejpam-6232	169	52	ui	ui	PROPN
ejpam-6232	169	53	,	,	PUNCT
ejpam-6232	169	54	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	169	55	,	,	PUNCT
ejpam-6232	169	56	t	t	PROPN
ejpam-6232	169	57	;	;	PUNCT
ejpam-6232	169	58	r	r	X
ejpam-6232	169	59	,	,	PUNCT
ejpam-6232	169	60	θ)−	θ)−	PROPN
ejpam-6232	169	61	ui	ui	PROPN
ejpam-6232	169	62	,	,	PUNCT
ejpam-6232	169	63	j(ξ	j(ξ	PROPN
ejpam-6232	169	64	,	,	PUNCT
ejpam-6232	169	65	t	t	PROPN
ejpam-6232	169	66	;	;	PUNCT
ejpam-6232	169	67	r	r	NOUN
ejpam-6232	169	68	,	,	PUNCT
ejpam-6232	169	69	θ	θ	NOUN
ejpam-6232	169	70	)	)	PUNCT
ejpam-6232	169	71	∆t	∆t	PROPN
ejpam-6232	169	72	=	=	SYM
ejpam-6232	169	73	d(ξ	d(ξ	PROPN
ejpam-6232	169	74	,	,	PUNCT
ejpam-6232	169	75	t	t	PROPN
ejpam-6232	169	76	;	;	PUNCT
ejpam-6232	169	77	r	r	NOUN
ejpam-6232	169	78	,	,	PUNCT
ejpam-6232	169	79	θ	θ	NOUN
ejpam-6232	169	80	)	)	PUNCT
ejpam-6232	169	81	ui+1,j(ξ	ui+1,j(ξ	NOUN
ejpam-6232	169	82	,	,	PUNCT
ejpam-6232	169	83	t	t	PROPN
ejpam-6232	169	84	;	;	PUNCT
ejpam-6232	169	85	r	r	X
ejpam-6232	169	86	,	,	PUNCT
ejpam-6232	169	87	θ)−	θ)−	PROPN
ejpam-6232	169	88	2ui	2ui	NOUN
ejpam-6232	169	89	,	,	PUNCT
ejpam-6232	169	90	j(ξ	j(ξ	PROPN
ejpam-6232	169	91	,	,	PUNCT
ejpam-6232	169	92	t	t	PROPN
ejpam-6232	169	93	;	;	PUNCT
ejpam-6232	169	94	r	r	NOUN
ejpam-6232	169	95	,	,	PUNCT
ejpam-6232	169	96	θ	θ	NOUN
ejpam-6232	169	97	)	)	PUNCT
ejpam-6232	170	1	+	+	NUM
ejpam-6232	170	2	ui−1,j(ξ	ui−1,j(ξ	SYM
ejpam-6232	170	3	,	,	PUNCT
ejpam-6232	170	4	t	t	PROPN
ejpam-6232	170	5	;	;	PUNCT
ejpam-6232	170	6	r	r	X
ejpam-6232	170	7	,	,	PUNCT
ejpam-6232	170	8	θ	θ	NOUN
ejpam-6232	170	9	)	)	PUNCT
ejpam-6232	170	10	∆ξ2	∆ξ2	PROPN
ejpam-6232	171	1	+	+	CCONJ
ejpam-6232	171	2	b(ξ	b(ξ	PROPN
ejpam-6232	171	3	,	,	PUNCT
ejpam-6232	171	4	t	t	PROPN
ejpam-6232	171	5	;	;	PUNCT
ejpam-6232	171	6	r	r	NOUN
ejpam-6232	171	7	,	,	PUNCT
ejpam-6232	171	8	θ	θ	NOUN
ejpam-6232	171	9	)	)	PUNCT
ejpam-6232	171	10	(	(	PUNCT
ejpam-6232	171	11	28	28	NUM
ejpam-6232	171	12	)	)	PUNCT
ejpam-6232	171	13	ui	ui	NOUN
ejpam-6232	171	14	,	,	PUNCT
ejpam-6232	171	15	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	171	16	,	,	PUNCT
ejpam-6232	171	17	t	t	PROPN
ejpam-6232	171	18	;	;	PUNCT
ejpam-6232	171	19	r	r	X
ejpam-6232	171	20	,	,	PUNCT
ejpam-6232	171	21	θ)−	θ)−	PROPN
ejpam-6232	171	22	ui	ui	PROPN
ejpam-6232	171	23	,	,	PUNCT
ejpam-6232	171	24	j(ξ	j(ξ	PROPN
ejpam-6232	171	25	,	,	PUNCT
ejpam-6232	171	26	t	t	PROPN
ejpam-6232	171	27	;	;	PUNCT
ejpam-6232	171	28	r	r	NOUN
ejpam-6232	171	29	,	,	PUNCT
ejpam-6232	171	30	θ	θ	NOUN
ejpam-6232	171	31	)	)	PUNCT
ejpam-6232	171	32	∆t	∆t	PROPN
ejpam-6232	171	33	=	=	SYM
ejpam-6232	171	34	d(ξ	d(ξ	PROPN
ejpam-6232	171	35	,	,	PUNCT
ejpam-6232	171	36	t	t	PROPN
ejpam-6232	171	37	;	;	PUNCT
ejpam-6232	171	38	r	r	NOUN
ejpam-6232	171	39	,	,	PUNCT
ejpam-6232	171	40	θ	θ	NOUN
ejpam-6232	171	41	)	)	PUNCT
ejpam-6232	171	42	ui+1,j(ξ	ui+1,j(ξ	NOUN
ejpam-6232	171	43	,	,	PUNCT
ejpam-6232	171	44	t	t	PROPN
ejpam-6232	171	45	;	;	PUNCT
ejpam-6232	171	46	r	r	X
ejpam-6232	171	47	,	,	PUNCT
ejpam-6232	171	48	θ)−	θ)−	PROPN
ejpam-6232	171	49	2ui	2ui	NOUN
ejpam-6232	171	50	,	,	PUNCT
ejpam-6232	171	51	j(ξ	j(ξ	PROPN
ejpam-6232	171	52	,	,	PUNCT
ejpam-6232	171	53	t	t	PROPN
ejpam-6232	171	54	;	;	PUNCT
ejpam-6232	171	55	r	r	NOUN
ejpam-6232	171	56	,	,	PUNCT
ejpam-6232	171	57	θ	θ	NOUN
ejpam-6232	171	58	)	)	PUNCT
ejpam-6232	171	59	+	+	NUM
ejpam-6232	171	60	ui−1,j(ξ	ui−1,j(ξ	SYM
ejpam-6232	171	61	,	,	PUNCT
ejpam-6232	171	62	t	t	PROPN
ejpam-6232	171	63	;	;	PUNCT
ejpam-6232	171	64	r	r	X
ejpam-6232	171	65	,	,	PUNCT
ejpam-6232	171	66	θ	θ	NOUN
ejpam-6232	171	67	)	)	PUNCT
ejpam-6232	171	68	∆ξ2	∆ξ2	PROPN
ejpam-6232	172	1	+	+	CCONJ
ejpam-6232	172	2	b(ξ	b(ξ	PROPN
ejpam-6232	172	3	,	,	PUNCT
ejpam-6232	172	4	t	t	PROPN
ejpam-6232	172	5	;	;	PUNCT
ejpam-6232	172	6	r	r	NOUN
ejpam-6232	172	7	,	,	PUNCT
ejpam-6232	172	8	θ	θ	NOUN
ejpam-6232	172	9	)	)	PUNCT
ejpam-6232	172	10	(	(	PUNCT
ejpam-6232	172	11	29	29	NUM
ejpam-6232	172	12	)	)	PUNCT
ejpam-6232	172	13	u	u	NOUN
ejpam-6232	172	14	′	′	NUM
ejpam-6232	173	1	i	i	PRON
ejpam-6232	173	2	,	,	PUNCT
ejpam-6232	173	3	j+1(ξ	j+1(ξ	ADV
ejpam-6232	173	4	,	,	PUNCT
ejpam-6232	173	5	t;β	t;β	NOUN
ejpam-6232	173	6	,	,	PUNCT
ejpam-6232	173	7	θ)−	θ)−	PROPN
ejpam-6232	173	8	u	u	NOUN
ejpam-6232	173	9	′	′	NUM
ejpam-6232	173	10	i	i	PROPN
ejpam-6232	173	11	,	,	PUNCT
ejpam-6232	173	12	j(ξ	j(ξ	PROPN
ejpam-6232	173	13	,	,	PUNCT
ejpam-6232	173	14	t;β	t;β	NOUN
ejpam-6232	173	15	,	,	PUNCT
ejpam-6232	173	16	θ	θ	NOUN
ejpam-6232	173	17	)	)	PUNCT
ejpam-6232	173	18	∆t	∆t	NOUN
ejpam-6232	174	1	=	=	SYM
ejpam-6232	174	2	d	d	NOUN
ejpam-6232	174	3	′	′	NUM
ejpam-6232	174	4	(	(	PUNCT
ejpam-6232	174	5	ξ	ξ	PROPN
ejpam-6232	174	6	,	,	PUNCT
ejpam-6232	174	7	t;β	t;β	PROPN
ejpam-6232	174	8	,	,	PUNCT
ejpam-6232	174	9	θ	θ	NOUN
ejpam-6232	174	10	)	)	PUNCT
ejpam-6232	174	11	u	u	NOUN
ejpam-6232	174	12	′	′	NOUN
ejpam-6232	174	13	i+1,j(ξ	i+1,j(ξ	NOUN
ejpam-6232	174	14	,	,	PUNCT
ejpam-6232	174	15	t;β	t;β	PROPN
ejpam-6232	174	16	,	,	PUNCT
ejpam-6232	174	17	θ)−	θ)−	PROPN
ejpam-6232	174	18	2u	2u	NOUN
ejpam-6232	174	19	′	′	NUM
ejpam-6232	174	20	i	i	PROPN
ejpam-6232	174	21	,	,	PUNCT
ejpam-6232	174	22	j(ξ	j(ξ	PROPN
ejpam-6232	174	23	,	,	PUNCT
ejpam-6232	174	24	t;β	t;β	NOUN
ejpam-6232	174	25	,	,	PUNCT
ejpam-6232	174	26	θ	θ	NOUN
ejpam-6232	174	27	)	)	PUNCT
ejpam-6232	175	1	+	+	NUM
ejpam-6232	175	2	u	u	NOUN
ejpam-6232	175	3	′	′	NOUN
ejpam-6232	175	4	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	175	5	,	,	PUNCT
ejpam-6232	175	6	t;β	t;β	NOUN
ejpam-6232	175	7	,	,	PUNCT
ejpam-6232	175	8	θ	θ	PROPN
ejpam-6232	175	9	)	)	PUNCT
ejpam-6232	175	10	∆ξ2	∆ξ2	PROPN
ejpam-6232	176	1	+	+	CCONJ
ejpam-6232	176	2	b	b	X
ejpam-6232	176	3	′	′	NUM
ejpam-6232	176	4	(	(	PUNCT
ejpam-6232	176	5	ξ	ξ	PROPN
ejpam-6232	176	6	,	,	PUNCT
ejpam-6232	176	7	t;β	t;β	PROPN
ejpam-6232	176	8	,	,	PUNCT
ejpam-6232	176	9	θ	θ	NOUN
ejpam-6232	176	10	)	)	PUNCT
ejpam-6232	176	11	(	(	PUNCT
ejpam-6232	176	12	30	30	NUM
ejpam-6232	176	13	)	)	PUNCT
ejpam-6232	176	14	u′	u′	PROPN
ejpam-6232	176	15	i	i	PRON
ejpam-6232	176	16	,	,	PUNCT
ejpam-6232	176	17	j+1(ξ	j+1(ξ	ADV
ejpam-6232	176	18	,	,	PUNCT
ejpam-6232	176	19	t;β	t;β	INTJ
ejpam-6232	176	20	,	,	PUNCT
ejpam-6232	176	21	θ)−	θ)−	PROPN
ejpam-6232	176	22	u′	u′	PROPN
ejpam-6232	176	23	i	i	PRON
ejpam-6232	176	24	,	,	PUNCT
ejpam-6232	176	25	j(ξ	j(ξ	PROPN
ejpam-6232	176	26	,	,	PUNCT
ejpam-6232	176	27	t;β	t;β	NOUN
ejpam-6232	176	28	,	,	PUNCT
ejpam-6232	176	29	θ	θ	NOUN
ejpam-6232	176	30	)	)	PUNCT
ejpam-6232	176	31	∆t	∆t	PROPN
ejpam-6232	176	32	=	=	SYM
ejpam-6232	176	33	d′(ξ	d′(ξ	PROPN
ejpam-6232	176	34	,	,	PUNCT
ejpam-6232	176	35	t;β	t;β	NOUN
ejpam-6232	176	36	,	,	PUNCT
ejpam-6232	176	37	θ	θ	NOUN
ejpam-6232	176	38	)	)	PUNCT
ejpam-6232	176	39	u′	u′	PROPN
ejpam-6232	176	40	i+1,j(ξ	i+1,j(ξ	NOUN
ejpam-6232	176	41	,	,	PUNCT
ejpam-6232	176	42	t;β	t;β	PROPN
ejpam-6232	176	43	,	,	PUNCT
ejpam-6232	176	44	θ)−	θ)−	PROPN
ejpam-6232	176	45	2u′	2u′	NUM
ejpam-6232	176	46	i	i	PROPN
ejpam-6232	176	47	,	,	PUNCT
ejpam-6232	176	48	j(ξ	j(ξ	PROPN
ejpam-6232	176	49	,	,	PUNCT
ejpam-6232	176	50	t;β	t;β	NOUN
ejpam-6232	176	51	,	,	PUNCT
ejpam-6232	176	52	θ	θ	NOUN
ejpam-6232	176	53	)	)	PUNCT
ejpam-6232	177	1	+	+	CCONJ
ejpam-6232	177	2	u′	u′	PROPN
ejpam-6232	177	3	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	177	4	,	,	PUNCT
ejpam-6232	177	5	t;β	t;β	PROPN
ejpam-6232	177	6	,	,	PUNCT
ejpam-6232	177	7	θ	θ	PROPN
ejpam-6232	177	8	)	)	PUNCT
ejpam-6232	177	9	∆ξ2	∆ξ2	PROPN
ejpam-6232	177	10	+	+	NUM
ejpam-6232	177	11	b′(ξ	b′(ξ	PROPN
ejpam-6232	177	12	,	,	PUNCT
ejpam-6232	177	13	t;β	t;β	NOUN
ejpam-6232	177	14	,	,	PUNCT
ejpam-6232	177	15	θ	θ	NOUN
ejpam-6232	177	16	)	)	PUNCT
ejpam-6232	177	17	(	(	PUNCT
ejpam-6232	177	18	31	31	NUM
ejpam-6232	177	19	)	)	PUNCT
ejpam-6232	177	20	a.	a.	NOUN
ejpam-6232	177	21	u.	u.	PROPN
ejpam-6232	177	22	alkouri	alkouri	PROPN
ejpam-6232	177	23	et	et	PROPN
ejpam-6232	177	24	al	al	PROPN
ejpam-6232	177	25	.	.	PUNCT
ejpam-6232	177	26	/	/	SYM
ejpam-6232	177	27	eur	eur	PROPN
ejpam-6232	177	28	.	.	PUNCT
ejpam-6232	178	1	j.	j.	PROPN
ejpam-6232	178	2	pure	pure	PROPN
ejpam-6232	178	3	appl	appl	PROPN
ejpam-6232	178	4	.	.	PROPN
ejpam-6232	178	5	math	math	PROPN
ejpam-6232	178	6	,	,	PUNCT
ejpam-6232	178	7	18	18	NUM
ejpam-6232	178	8	(	(	PUNCT
ejpam-6232	178	9	3	3	NUM
ejpam-6232	178	10	)	)	PUNCT
ejpam-6232	178	11	(	(	PUNCT
ejpam-6232	178	12	2025	2025	NUM
ejpam-6232	178	13	)	)	PUNCT
ejpam-6232	178	14	,	,	PUNCT
ejpam-6232	178	15	6232	6232	NUM
ejpam-6232	178	16	9	9	NUM
ejpam-6232	178	17	of	of	ADP
ejpam-6232	178	18	15	15	NUM
ejpam-6232	178	19	by	by	ADP
ejpam-6232	178	20	assume	assume	NOUN
ejpam-6232	178	21	that	that	SCONJ
ejpam-6232	178	22	s̃(r	s̃(r	PROPN
ejpam-6232	178	23	,	,	PUNCT
ejpam-6232	178	24	θ	θ	NOUN
ejpam-6232	178	25	)	)	PUNCT
ejpam-6232	178	26	=	=	SYM
ejpam-6232	178	27	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	178	28	,	,	PUNCT
ejpam-6232	178	29	t;r	t;r	NOUN
ejpam-6232	178	30	,	,	PUNCT
ejpam-6232	178	31	θ)∆t	θ)∆t	PUNCT
ejpam-6232	178	32	∆ξ2	∆ξ2	PROPN
ejpam-6232	178	33	and	and	CCONJ
ejpam-6232	178	34	s̃(β	s̃(β	PROPN
ejpam-6232	178	35	,	,	PUNCT
ejpam-6232	178	36	θ	θ	NOUN
ejpam-6232	178	37	)	)	PUNCT
ejpam-6232	178	38	=	=	SYM
ejpam-6232	179	1	d̃(ξ	d̃(ξ	PROPN
ejpam-6232	179	2	,	,	PUNCT
ejpam-6232	179	3	t;β	t;β	NOUN
ejpam-6232	179	4	,	,	PUNCT
ejpam-6232	179	5	θ)∆t	θ)∆t	PUNCT
ejpam-6232	179	6	∆ξ2	∆ξ2	PROPN
ejpam-6232	179	7	then	then	ADV
ejpam-6232	179	8	the	the	DET
ejpam-6232	179	9	eq	eq	NOUN
ejpam-6232	179	10	.	.	PROPN
ejpam-6232	179	11	28	28	NUM
ejpam-6232	179	12	,	,	PUNCT
ejpam-6232	179	13	29	29	NUM
ejpam-6232	179	14	,	,	PUNCT
ejpam-6232	179	15	30	30	NUM
ejpam-6232	179	16	,	,	PUNCT
ejpam-6232	179	17	and	and	CCONJ
ejpam-6232	179	18	31	31	NUM
ejpam-6232	179	19	are	be	AUX
ejpam-6232	179	20	simplified	simplify	VERB
ejpam-6232	179	21	to	to	PART
ejpam-6232	179	22	get	get	VERB
ejpam-6232	179	23	lower	low	ADJ
ejpam-6232	179	24	and	and	CCONJ
ejpam-6232	179	25	upper	upper	ADJ
ejpam-6232	179	26	bounds	bound	NOUN
ejpam-6232	179	27	of	of	ADP
ejpam-6232	179	28	membership	membership	NOUN
ejpam-6232	179	29	function	function	NOUN
ejpam-6232	179	30	and	and	CCONJ
ejpam-6232	179	31	nonmembership	nonmembership	NOUN
ejpam-6232	179	32	function	function	NOUN
ejpam-6232	179	33	respectively	respectively	ADV
ejpam-6232	179	34	of	of	ADP
ejpam-6232	179	35	the	the	DET
ejpam-6232	179	36	general	general	ADJ
ejpam-6232	179	37	form	form	NOUN
ejpam-6232	179	38	of	of	ADP
ejpam-6232	179	39	cif	cif	PROPN
ejpam-6232	179	40	heat	heat	NOUN
ejpam-6232	179	41	equation	equation	NOUN
ejpam-6232	179	42	.	.	PUNCT
ejpam-6232	180	1	for	for	ADP
ejpam-6232	180	2	all	all	DET
ejpam-6232	180	3	r	r	NOUN
ejpam-6232	180	4	,	,	PUNCT
ejpam-6232	180	5	θ	θ	PROPN
ejpam-6232	180	6	,	,	PUNCT
ejpam-6232	180	7	β	β	X
ejpam-6232	180	8	∈	∈	PROPN
ejpam-6232	181	1	[	[	X
ejpam-6232	181	2	0	0	NUM
ejpam-6232	181	3	,	,	PUNCT
ejpam-6232	181	4	1	1	NUM
ejpam-6232	181	5	]	]	PUNCT
ejpam-6232	181	6	as	as	SCONJ
ejpam-6232	181	7	follows	follow	VERB
ejpam-6232	181	8	:	:	PUNCT
ejpam-6232	181	9	ui	ui	NOUN
ejpam-6232	181	10	,	,	PUNCT
ejpam-6232	181	11	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	181	12	,	,	PUNCT
ejpam-6232	181	13	t	t	PROPN
ejpam-6232	181	14	;	;	PUNCT
ejpam-6232	181	15	r	r	NOUN
ejpam-6232	181	16	,	,	PUNCT
ejpam-6232	181	17	θ	θ	NOUN
ejpam-6232	181	18	)	)	PUNCT
ejpam-6232	181	19	=	=	SYM
ejpam-6232	181	20	(	(	PUNCT
ejpam-6232	181	21	1−2s)ui	1−2s)ui	NUM
ejpam-6232	181	22	,	,	PUNCT
ejpam-6232	181	23	j(ξ	j(ξ	PROPN
ejpam-6232	181	24	,	,	PUNCT
ejpam-6232	181	25	t	t	PROPN
ejpam-6232	181	26	;	;	PUNCT
ejpam-6232	181	27	r	r	X
ejpam-6232	181	28	,	,	PUNCT
ejpam-6232	181	29	θ)+s	θ)+s	NOUN
ejpam-6232	181	30	(	(	PUNCT
ejpam-6232	181	31	ui+1,j(ξ	ui+1,j(ξ	PROPN
ejpam-6232	181	32	,	,	PUNCT
ejpam-6232	181	33	t	t	PROPN
ejpam-6232	181	34	;	;	PUNCT
ejpam-6232	181	35	r	r	NOUN
ejpam-6232	181	36	,	,	PUNCT
ejpam-6232	181	37	θ)+ui−1,j(ξ	θ)+ui−1,j(ξ	PROPN
ejpam-6232	181	38	,	,	PUNCT
ejpam-6232	181	39	t	t	PROPN
ejpam-6232	181	40	;	;	PUNCT
ejpam-6232	181	41	r	r	X
ejpam-6232	181	42	,	,	PUNCT
ejpam-6232	181	43	θ)+∆t	θ)+∆t	PROPN
ejpam-6232	181	44	b(ξ	b(ξ	PROPN
ejpam-6232	181	45	,	,	PUNCT
ejpam-6232	181	46	t	t	PROPN
ejpam-6232	181	47	;	;	PUNCT
ejpam-6232	181	48	r	r	NOUN
ejpam-6232	181	49	,	,	PUNCT
ejpam-6232	181	50	θ	θ	NOUN
ejpam-6232	181	51	)	)	PUNCT
ejpam-6232	181	52	(	(	PUNCT
ejpam-6232	181	53	32	32	NUM
ejpam-6232	181	54	)	)	PUNCT
ejpam-6232	181	55	ui	ui	NOUN
ejpam-6232	181	56	,	,	PUNCT
ejpam-6232	181	57	j+1(ξ	j+1(ξ	PROPN
ejpam-6232	181	58	,	,	PUNCT
ejpam-6232	181	59	t	t	PROPN
ejpam-6232	181	60	;	;	PUNCT
ejpam-6232	181	61	r	r	NOUN
ejpam-6232	181	62	,	,	PUNCT
ejpam-6232	181	63	θ	θ	NOUN
ejpam-6232	181	64	)	)	PUNCT
ejpam-6232	181	65	=	=	SYM
ejpam-6232	181	66	(	(	PUNCT
ejpam-6232	181	67	1−2s)ui	1−2s)ui	NUM
ejpam-6232	181	68	,	,	PUNCT
ejpam-6232	181	69	j(ξ	j(ξ	PROPN
ejpam-6232	181	70	,	,	PUNCT
ejpam-6232	181	71	t	t	PROPN
ejpam-6232	181	72	;	;	PUNCT
ejpam-6232	181	73	r	r	X
ejpam-6232	181	74	,	,	PUNCT
ejpam-6232	181	75	θ)+s(ui+1,j(ξ	θ)+s(ui+1,j(ξ	X
ejpam-6232	181	76	,	,	PUNCT
ejpam-6232	181	77	t	t	PROPN
ejpam-6232	181	78	;	;	PUNCT
ejpam-6232	181	79	r	r	NOUN
ejpam-6232	181	80	,	,	PUNCT
ejpam-6232	181	81	θ)+ui−1,j(ξ	θ)+ui−1,j(ξ	PROPN
ejpam-6232	181	82	,	,	PUNCT
ejpam-6232	181	83	t	t	PROPN
ejpam-6232	181	84	;	;	PUNCT
ejpam-6232	181	85	r	r	X
ejpam-6232	181	86	,	,	PUNCT
ejpam-6232	181	87	θ)+∆t	θ)+∆t	PROPN
ejpam-6232	181	88	b(ξ	b(ξ	PROPN
ejpam-6232	181	89	,	,	PUNCT
ejpam-6232	181	90	t	t	PROPN
ejpam-6232	181	91	;	;	PUNCT
ejpam-6232	181	92	r	r	NOUN
ejpam-6232	181	93	,	,	PUNCT
ejpam-6232	181	94	θ	θ	NOUN
ejpam-6232	181	95	)	)	PUNCT
ejpam-6232	181	96	(	(	PUNCT
ejpam-6232	181	97	33	33	NUM
ejpam-6232	181	98	)	)	PUNCT
ejpam-6232	181	99	u	u	NOUN
ejpam-6232	182	1	′	′	NUM
ejpam-6232	183	1	i	i	PRON
ejpam-6232	183	2	,	,	PUNCT
ejpam-6232	183	3	j+1(ξ	j+1(ξ	ADV
ejpam-6232	183	4	,	,	PUNCT
ejpam-6232	183	5	t;β	t;β	NOUN
ejpam-6232	183	6	,	,	PUNCT
ejpam-6232	183	7	θ	θ	NOUN
ejpam-6232	183	8	)	)	PUNCT
ejpam-6232	183	9	=	=	SYM
ejpam-6232	183	10	(	(	PUNCT
ejpam-6232	183	11	1−2s)u	1−2s)u	NUM
ejpam-6232	183	12	′	′	NUM
ejpam-6232	184	1	i	i	PROPN
ejpam-6232	184	2	,	,	PUNCT
ejpam-6232	184	3	j(ξ	j(ξ	PROPN
ejpam-6232	184	4	,	,	PUNCT
ejpam-6232	184	5	t;β	t;β	NOUN
ejpam-6232	184	6	,	,	PUNCT
ejpam-6232	184	7	θ)+s	θ)+s	PUNCT
ejpam-6232	184	8	(	(	PUNCT
ejpam-6232	184	9	u	u	NOUN
ejpam-6232	184	10	′	′	NOUN
ejpam-6232	184	11	i+1,j(ξ	i+1,j(ξ	PROPN
ejpam-6232	184	12	,	,	PUNCT
ejpam-6232	184	13	t;β	t;β	PROPN
ejpam-6232	184	14	,	,	PUNCT
ejpam-6232	184	15	θ)+u	θ)+u	PROPN
ejpam-6232	184	16	′	′	NUM
ejpam-6232	184	17	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	184	18	,	,	PUNCT
ejpam-6232	184	19	t;β	t;β	PROPN
ejpam-6232	184	20	,	,	PUNCT
ejpam-6232	184	21	θ)+∆t	θ)+∆t	PROPN
ejpam-6232	184	22	b	b	PROPN
ejpam-6232	184	23	′	′	NUM
ejpam-6232	184	24	(	(	PUNCT
ejpam-6232	184	25	ξ	ξ	PROPN
ejpam-6232	184	26	,	,	PUNCT
ejpam-6232	184	27	t;β	t;β	PROPN
ejpam-6232	184	28	,	,	PUNCT
ejpam-6232	184	29	θ	θ	NOUN
ejpam-6232	184	30	)	)	PUNCT
ejpam-6232	184	31	(	(	PUNCT
ejpam-6232	184	32	34	34	NUM
ejpam-6232	184	33	)	)	PUNCT
ejpam-6232	184	34	u′	u′	PROPN
ejpam-6232	184	35	i	i	PRON
ejpam-6232	184	36	,	,	PUNCT
ejpam-6232	184	37	j+1(ξ	j+1(ξ	ADV
ejpam-6232	184	38	,	,	PUNCT
ejpam-6232	184	39	t;β	t;β	NOUN
ejpam-6232	184	40	,	,	PUNCT
ejpam-6232	184	41	θ	θ	NOUN
ejpam-6232	184	42	)	)	PUNCT
ejpam-6232	184	43	=	=	SYM
ejpam-6232	184	44	(	(	PUNCT
ejpam-6232	184	45	1−2s)u′	1−2s)u′	NUM
ejpam-6232	184	46	i	i	PROPN
ejpam-6232	184	47	,	,	PUNCT
ejpam-6232	184	48	j(ξ	j(ξ	PROPN
ejpam-6232	184	49	,	,	PUNCT
ejpam-6232	184	50	t;β	t;β	NOUN
ejpam-6232	184	51	,	,	PUNCT
ejpam-6232	184	52	θ)+s(u′	θ)+s(u′	NOUN
ejpam-6232	184	53	i+1,j(ξ	i+1,j(ξ	NOUN
ejpam-6232	184	54	,	,	PUNCT
ejpam-6232	184	55	t;β	t;β	NOUN
ejpam-6232	184	56	,	,	PUNCT
ejpam-6232	184	57	θ)+u′	θ)+u′	NOUN
ejpam-6232	184	58	i−1,j(ξ	i−1,j(ξ	PROPN
ejpam-6232	184	59	,	,	PUNCT
ejpam-6232	184	60	t;β	t;β	PROPN
ejpam-6232	184	61	,	,	PUNCT
ejpam-6232	184	62	θ)+∆t	θ)+∆t	PROPN
ejpam-6232	184	63	b′(ξ	b′(ξ	PROPN
ejpam-6232	184	64	,	,	PUNCT
ejpam-6232	184	65	t;β	t;β	NOUN
ejpam-6232	184	66	,	,	PUNCT
ejpam-6232	184	67	θ	θ	NOUN
ejpam-6232	184	68	)	)	PUNCT
ejpam-6232	184	69	(	(	PUNCT
ejpam-6232	184	70	35	35	NUM
ejpam-6232	184	71	)	)	PUNCT
ejpam-6232	184	72	4	4	NUM
ejpam-6232	184	73	.	.	PUNCT
ejpam-6232	184	74	numerical	numerical	PROPN
ejpam-6232	184	75	simulation	simulation	PROPN
ejpam-6232	184	76	the	the	DET
ejpam-6232	184	77	cif	cif	PROPN
ejpam-6232	184	78	heat	heat	NOUN
ejpam-6232	184	79	equation	equation	NOUN
ejpam-6232	184	80	is	be	AUX
ejpam-6232	184	81	generalized	generalize	VERB
ejpam-6232	184	82	by	by	ADP
ejpam-6232	184	83	adding	add	VERB
ejpam-6232	184	84	the	the	DET
ejpam-6232	184	85	complex	complex	ADJ
ejpam-6232	184	86	non	non	ADJ
ejpam-6232	184	87	-	-	ADJ
ejpam-6232	184	88	membership	membership	ADJ
ejpam-6232	184	89	term	term	NOUN
ejpam-6232	184	90	to	to	PART
ejpam-6232	184	91	cf	cf	NOUN
ejpam-6232	184	92	heat	heat	NOUN
ejpam-6232	184	93	equation	equation	NOUN
ejpam-6232	184	94	as	as	SCONJ
ejpam-6232	184	95	discussed	discuss	VERB
ejpam-6232	184	96	in	in	ADP
ejpam-6232	184	97	[	[	X
ejpam-6232	184	98	33	33	NUM
ejpam-6232	184	99	]	]	PUNCT
ejpam-6232	184	100	as	as	ADP
ejpam-6232	184	101	the	the	DET
ejpam-6232	184	102	following	following	NOUN
ejpam-6232	184	103	:	:	PUNCT
ejpam-6232	184	104	∂ũ(ξ	∂ũ(ξ	PROPN
ejpam-6232	184	105	,	,	PUNCT
ejpam-6232	184	106	t	t	PROPN
ejpam-6232	184	107	)	)	PUNCT
ejpam-6232	184	108	∂t	∂t	PROPN
ejpam-6232	184	109	−	−	PROPN
ejpam-6232	184	110	∂2ũ(ξ	∂2ũ(ξ	PROPN
ejpam-6232	184	111	,	,	PUNCT
ejpam-6232	184	112	t	t	PROPN
ejpam-6232	184	113	)	)	PUNCT
ejpam-6232	184	114	∂ξ2	∂ξ2	PROPN
ejpam-6232	185	1	=	=	NOUN
ejpam-6232	185	2	0	0	NUM
ejpam-6232	185	3	,	,	PUNCT
ejpam-6232	185	4	0	0	NUM
ejpam-6232	185	5	<	<	X
ejpam-6232	185	6	ξ	ξ	X
ejpam-6232	185	7	<	<	X
ejpam-6232	185	8	1	1	NUM
ejpam-6232	185	9	,	,	PUNCT
ejpam-6232	185	10	t	t	X
ejpam-6232	185	11	>	>	X
ejpam-6232	185	12	0	0	PUNCT
ejpam-6232	186	1	(	(	PUNCT
ejpam-6232	186	2	36	36	NUM
ejpam-6232	186	3	)	)	PUNCT
ejpam-6232	186	4	where	where	SCONJ
ejpam-6232	186	5	the	the	DET
ejpam-6232	186	6	boundary	boundary	ADJ
ejpam-6232	186	7	conditions	condition	NOUN
ejpam-6232	186	8	ũ(0	ũ(0	PRON
ejpam-6232	186	9	,	,	PUNCT
ejpam-6232	186	10	t	t	NOUN
ejpam-6232	186	11	)	)	PUNCT
ejpam-6232	186	12	=	=	SYM
ejpam-6232	187	1	ũ(1	ũ(1	NOUN
ejpam-6232	187	2	,	,	PUNCT
ejpam-6232	187	3	t	t	PROPN
ejpam-6232	187	4	)	)	PUNCT
ejpam-6232	187	5	=	=	SYM
ejpam-6232	187	6	0	0	NUM
ejpam-6232	187	7	and	and	CCONJ
ejpam-6232	187	8	initial	initial	ADJ
ejpam-6232	187	9	condition	condition	NOUN
ejpam-6232	187	10	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	187	11	,	,	PUNCT
ejpam-6232	187	12	0	0	NUM
ejpam-6232	187	13	)	)	PUNCT
ejpam-6232	187	14	=	=	SYM
ejpam-6232	187	15	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	187	16	)	)	PUNCT
ejpam-6232	187	17	,	,	PUNCT
ejpam-6232	187	18	with	with	ADP
ejpam-6232	187	19	cf	cf	NOUN
ejpam-6232	187	20	function	function	NOUN
ejpam-6232	187	21	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	187	22	)	)	PUNCT
ejpam-6232	187	23	is	be	AUX
ejpam-6232	187	24	defined	define	VERB
ejpam-6232	187	25	as	as	SCONJ
ejpam-6232	187	26	follows	follow	VERB
ejpam-6232	187	27	f̃(ξ	f̃(ξ	PROPN
ejpam-6232	187	28	)	)	PUNCT
ejpam-6232	187	29	=	=	PUNCT
ejpam-6232	188	1	k̃	k̃	PROPN
ejpam-6232	188	2	ei2π	ei2π	PROPN
ejpam-6232	188	3	w̃cos	w̃cos	PROPN
ejpam-6232	188	4	(	(	PUNCT
ejpam-6232	188	5	πξ	πξ	NOUN
ejpam-6232	188	6	−	−	PROPN
ejpam-6232	188	7	π	π	PROPN
ejpam-6232	188	8	2	2	NUM
ejpam-6232	188	9	)	)	PUNCT
ejpam-6232	188	10	(	(	PUNCT
ejpam-6232	188	11	37	37	NUM
ejpam-6232	188	12	)	)	PUNCT
ejpam-6232	188	13	in	in	ADP
ejpam-6232	188	14	r	r	NOUN
ejpam-6232	188	15	-	-	PUNCT
ejpam-6232	188	16	cut	cut	VERB
ejpam-6232	188	17	and	and	CCONJ
ejpam-6232	188	18	β	β	NOUN
ejpam-6232	188	19	-	-	ADJ
ejpam-6232	188	20	cut	cut	ADJ
ejpam-6232	188	21	formula	formula	NOUN
ejpam-6232	188	22	of	of	ADP
ejpam-6232	188	23	the	the	DET
ejpam-6232	188	24	intuitionistic	intuitionistic	ADJ
ejpam-6232	188	25	fuzzy	fuzzy	ADJ
ejpam-6232	188	26	number	number	NOUN
ejpam-6232	188	27	is	be	AUX
ejpam-6232	188	28	shown	show	VERB
ejpam-6232	188	29	as	as	ADP
ejpam-6232	188	30	below	below	ADV
ejpam-6232	188	31	:	:	PUNCT
ejpam-6232	188	32	[	[	PUNCT
ejpam-6232	188	33	k̃	k̃	PROPN
ejpam-6232	188	34	]	]	PUNCT
ejpam-6232	188	35	r	r	X
ejpam-6232	188	36	,	,	PUNCT
ejpam-6232	188	37	β	β	X
ejpam-6232	188	38	=	=	SYM
ejpam-6232	188	39	{	{	PUNCT
ejpam-6232	188	40	[	[	PUNCT
ejpam-6232	188	41	k(r	k(r	PROPN
ejpam-6232	188	42	)	)	PUNCT
ejpam-6232	188	43	,	,	PUNCT
ejpam-6232	188	44	k(r	k(r	PROPN
ejpam-6232	188	45	)	)	PUNCT
ejpam-6232	188	46	]	]	PUNCT
ejpam-6232	188	47	,	,	PUNCT
ejpam-6232	188	48	[	[	PUNCT
ejpam-6232	188	49	k(β	k(β	NOUN
ejpam-6232	188	50	)	)	PUNCT
ejpam-6232	188	51	,	,	PUNCT
ejpam-6232	188	52	k(β	k(β	PROPN
ejpam-6232	188	53	)	)	PUNCT
ejpam-6232	188	54	]	]	PUNCT
ejpam-6232	188	55	}	}	PUNCT
ejpam-6232	188	56	=	=	PUNCT
ejpam-6232	188	57	{	{	PUNCT
ejpam-6232	189	1	[	[	X
ejpam-6232	189	2	r	r	NOUN
ejpam-6232	189	3	−	−	PROPN
ejpam-6232	189	4	1	1	NUM
ejpam-6232	189	5	,	,	PUNCT
ejpam-6232	189	6	1−	1−	NUM
ejpam-6232	189	7	r	r	NOUN
ejpam-6232	189	8	]	]	X
ejpam-6232	189	9	,	,	PUNCT
ejpam-6232	190	1	[	[	X
ejpam-6232	190	2	−1.25β	−1.25β	X
ejpam-6232	190	3	,	,	PUNCT
ejpam-6232	190	4	1.25β	1.25β	NUM
ejpam-6232	190	5	]	]	X
ejpam-6232	190	6	}	}	PUNCT
ejpam-6232	190	7	(	(	PUNCT
ejpam-6232	190	8	38	38	NUM
ejpam-6232	190	9	)	)	PUNCT
ejpam-6232	190	10	[	[	X
ejpam-6232	190	11	w̃]θ	w̃]θ	NOUN
ejpam-6232	190	12	,	,	PUNCT
ejpam-6232	190	13	β	β	X
ejpam-6232	190	14	=	=	X
ejpam-6232	190	15	{	{	PUNCT
ejpam-6232	191	1	[	[	X
ejpam-6232	191	2	w(θ	w(θ	ADJ
ejpam-6232	191	3	)	)	PUNCT
ejpam-6232	191	4	,	,	PUNCT
ejpam-6232	191	5	w(θ	w(θ	PROPN
ejpam-6232	191	6	)	)	PUNCT
ejpam-6232	191	7	]	]	PUNCT
ejpam-6232	191	8	,	,	PUNCT
ejpam-6232	191	9	[	[	X
ejpam-6232	191	10	w(β	w(β	NOUN
ejpam-6232	191	11	)	)	PUNCT
ejpam-6232	191	12	,	,	PUNCT
ejpam-6232	191	13	w(β	w(β	NOUN
ejpam-6232	191	14	)	)	PUNCT
ejpam-6232	191	15	]	]	PUNCT
ejpam-6232	192	1	}	}	PUNCT
ejpam-6232	192	2	=	=	SYM
ejpam-6232	192	3	{	{	PUNCT
ejpam-6232	192	4	[	[	X
ejpam-6232	192	5	θ	θ	X
ejpam-6232	192	6	−	−	PROPN
ejpam-6232	192	7	1	1	NUM
ejpam-6232	192	8	,	,	PUNCT
ejpam-6232	192	9	1−	1−	NUM
ejpam-6232	192	10	θ	θ	NOUN
ejpam-6232	192	11	]	]	X
ejpam-6232	192	12	,	,	PUNCT
ejpam-6232	192	13	[	[	X
ejpam-6232	192	14	−1.25β	−1.25β	X
ejpam-6232	192	15	,	,	PUNCT
ejpam-6232	192	16	1.25β	1.25β	NUM
ejpam-6232	192	17	]	]	X
ejpam-6232	192	18	}	}	PUNCT
ejpam-6232	192	19	(	(	PUNCT
ejpam-6232	192	20	39	39	NUM
ejpam-6232	192	21	)	)	PUNCT
ejpam-6232	192	22	the	the	DET
ejpam-6232	192	23	exact	exact	ADJ
ejpam-6232	192	24	complex	complex	ADJ
ejpam-6232	192	25	intuitionistic	intuitionistic	ADJ
ejpam-6232	192	26	solution	solution	NOUN
ejpam-6232	192	27	of	of	ADP
ejpam-6232	192	28	eq	eq	PROPN
ejpam-6232	192	29	.	.	PROPN
ejpam-6232	192	30	36	36	NUM
ejpam-6232	192	31	is	be	AUX
ejpam-6232	192	32	described	describe	VERB
ejpam-6232	192	33	as	as	ADP
ejpam-6232	192	34	below	below	ADV
ejpam-6232	192	35	:	:	PUNCT
ejpam-6232	193	1	ũ(ξ	ũ(ξ	PROPN
ejpam-6232	193	2	,	,	PUNCT
ejpam-6232	193	3	t	t	PROPN
ejpam-6232	193	4	;	;	PUNCT
ejpam-6232	193	5	r	r	X
ejpam-6232	193	6	)	)	PUNCT
ejpam-6232	193	7	=	=	SYM
ejpam-6232	194	1	k̃	k̃	PROPN
ejpam-6232	194	2	ei2π	ei2π	PROPN
ejpam-6232	194	3	w̃	w̃	PROPN
ejpam-6232	194	4	−πtcos	−πtcos	PROPN
ejpam-6232	194	5	(	(	PUNCT
ejpam-6232	194	6	πξ	πξ	NOUN
ejpam-6232	194	7	−	−	PROPN
ejpam-6232	194	8	π	π	PROPN
ejpam-6232	194	9	2	2	NUM
ejpam-6232	194	10	)	)	PUNCT
ejpam-6232	194	11	(	(	PUNCT
ejpam-6232	194	12	40	40	NUM
ejpam-6232	194	13	)	)	PUNCT
ejpam-6232	194	14	a.	a.	NOUN
ejpam-6232	194	15	u.	u.	PROPN
ejpam-6232	194	16	alkouri	alkouri	PROPN
ejpam-6232	194	17	et	et	PROPN
ejpam-6232	194	18	al	al	PROPN
ejpam-6232	194	19	.	.	PUNCT
ejpam-6232	194	20	/	/	SYM
ejpam-6232	194	21	eur	eur	PROPN
ejpam-6232	194	22	.	.	PUNCT
ejpam-6232	195	1	j.	j.	PROPN
ejpam-6232	195	2	pure	pure	PROPN
ejpam-6232	195	3	appl	appl	PROPN
ejpam-6232	195	4	.	.	PROPN
ejpam-6232	195	5	math	math	PROPN
ejpam-6232	195	6	,	,	PUNCT
ejpam-6232	195	7	18	18	NUM
ejpam-6232	195	8	(	(	PUNCT
ejpam-6232	195	9	3	3	NUM
ejpam-6232	195	10	)	)	PUNCT
ejpam-6232	195	11	(	(	PUNCT
ejpam-6232	195	12	2025	2025	NUM
ejpam-6232	195	13	)	)	PUNCT
ejpam-6232	195	14	,	,	PUNCT
ejpam-6232	195	15	6232	6232	NUM
ejpam-6232	195	16	10	10	NUM
ejpam-6232	195	17	of	of	ADP
ejpam-6232	195	18	15	15	NUM
ejpam-6232	195	19	figure	figure	NOUN
ejpam-6232	195	20	2	2	NUM
ejpam-6232	195	21	:	:	PUNCT
ejpam-6232	195	22	the	the	DET
ejpam-6232	195	23	exact	exact	ADJ
ejpam-6232	195	24	solution	solution	NOUN
ejpam-6232	195	25	of	of	ADP
ejpam-6232	195	26	eq	eq	PROPN
ejpam-6232	195	27	.	.	PROPN
ejpam-6232	195	28	33	33	NUM
ejpam-6232	195	29	at	at	ADP
ejpam-6232	195	30	θ	θ	PROPN
ejpam-6232	195	31	=	=	SYM
ejpam-6232	195	32	0.2	0.2	NUM
ejpam-6232	195	33	and	and	CCONJ
ejpam-6232	195	34	for	for	ADP
ejpam-6232	195	35	all	all	DET
ejpam-6232	195	36	r	r	NOUN
ejpam-6232	195	37	,	,	PUNCT
ejpam-6232	195	38	β	β	X
ejpam-6232	195	39	∈	∈	PROPN
ejpam-6232	196	1	[	[	X
ejpam-6232	196	2	0	0	NUM
ejpam-6232	196	3	,	,	PUNCT
ejpam-6232	196	4	1	1	NUM
ejpam-6232	196	5	]	]	PUNCT
ejpam-6232	196	6	figure	figure	NOUN
ejpam-6232	196	7	3	3	NUM
ejpam-6232	196	8	:	:	PUNCT
ejpam-6232	196	9	the	the	DET
ejpam-6232	196	10	numerical	numerical	ADJ
ejpam-6232	196	11	and	and	CCONJ
ejpam-6232	196	12	exact	exact	ADJ
ejpam-6232	196	13	solutions	solution	NOUN
ejpam-6232	196	14	by	by	ADP
ejpam-6232	196	15	ftcs	ftcs	NOUN
ejpam-6232	196	16	of	of	ADP
ejpam-6232	196	17	equation	equation	NOUN
ejpam-6232	196	18	33	33	NUM
ejpam-6232	196	19	at	at	ADP
ejpam-6232	196	20	t	t	PROPN
ejpam-6232	196	21	=	=	SYM
ejpam-6232	196	22	0.05	0.05	NUM
ejpam-6232	196	23	,	,	PUNCT
ejpam-6232	196	24	ξ	ξ	X
ejpam-6232	196	25	=	=	SYM
ejpam-6232	196	26	0.9	0.9	NUM
ejpam-6232	196	27	and	and	CCONJ
ejpam-6232	196	28	θ	θ	NOUN
ejpam-6232	196	29	=	=	SYM
ejpam-6232	196	30	0.2	0.2	NUM
ejpam-6232	196	31	for	for	ADP
ejpam-6232	196	32	all	all	DET
ejpam-6232	196	33	r	r	NOUN
ejpam-6232	196	34	,	,	PUNCT
ejpam-6232	196	35	β	β	X
ejpam-6232	196	36	∈	∈	PROPN
ejpam-6232	197	1	[	[	X
ejpam-6232	197	2	0	0	NUM
ejpam-6232	197	3	,	,	PUNCT
ejpam-6232	197	4	1	1	NUM
ejpam-6232	197	5	]	]	PUNCT
ejpam-6232	197	6	a.	a.	NOUN
ejpam-6232	197	7	u.	u.	PROPN
ejpam-6232	197	8	alkouri	alkouri	PROPN
ejpam-6232	197	9	et	et	PROPN
ejpam-6232	197	10	al	al	PROPN
ejpam-6232	197	11	.	.	PUNCT
ejpam-6232	197	12	/	/	SYM
ejpam-6232	197	13	eur	eur	PROPN
ejpam-6232	197	14	.	.	PUNCT
ejpam-6232	198	1	j.	j.	PROPN
ejpam-6232	198	2	pure	pure	PROPN
ejpam-6232	198	3	appl	appl	PROPN
ejpam-6232	198	4	.	.	PROPN
ejpam-6232	198	5	math	math	PROPN
ejpam-6232	198	6	,	,	PUNCT
ejpam-6232	198	7	18	18	NUM
ejpam-6232	198	8	(	(	PUNCT
ejpam-6232	198	9	3	3	NUM
ejpam-6232	198	10	)	)	PUNCT
ejpam-6232	198	11	(	(	PUNCT
ejpam-6232	198	12	2025	2025	NUM
ejpam-6232	198	13	)	)	PUNCT
ejpam-6232	198	14	,	,	PUNCT
ejpam-6232	198	15	6232	6232	NUM
ejpam-6232	198	16	11	11	NUM
ejpam-6232	198	17	of	of	ADP
ejpam-6232	198	18	15	15	NUM
ejpam-6232	198	19	table	table	NOUN
ejpam-6232	198	20	1	1	NUM
ejpam-6232	198	21	:	:	PUNCT
ejpam-6232	198	22	numerical	numerical	ADJ
ejpam-6232	198	23	lower	low	ADJ
ejpam-6232	198	24	solutions	solution	NOUN
ejpam-6232	198	25	of	of	ADP
ejpam-6232	198	26	eq	eq	PROPN
ejpam-6232	198	27	.	.	PROPN
ejpam-6232	198	28	33	33	NUM
ejpam-6232	198	29	by	by	ADP
ejpam-6232	198	30	ftcs	ftcs	NOUN
ejpam-6232	198	31	at	at	ADP
ejpam-6232	198	32	t	t	PROPN
ejpam-6232	198	33	=	=	SYM
ejpam-6232	198	34	0.05	0.05	NUM
ejpam-6232	198	35	,	,	PUNCT
ejpam-6232	198	36	ξ	ξ	X
ejpam-6232	198	37	=	=	SYM
ejpam-6232	198	38	0.9	0.9	NUM
ejpam-6232	198	39	,	,	PUNCT
ejpam-6232	198	40	for	for	ADP
ejpam-6232	198	41	every	every	DET
ejpam-6232	198	42	r	r	NOUN
ejpam-6232	198	43	,	,	PUNCT
ejpam-6232	198	44	β	β	X
ejpam-6232	198	45	,	,	PUNCT
ejpam-6232	198	46	θ	θ	PROPN
ejpam-6232	198	47	∈	∈	PROPN
ejpam-6232	199	1	[	[	X
ejpam-6232	199	2	0	0	NUM
ejpam-6232	199	3	,	,	PUNCT
ejpam-6232	199	4	1	1	NUM
ejpam-6232	199	5	]	]	PUNCT
ejpam-6232	199	6	.	.	PUNCT
ejpam-6232	200	1	θ	θ	PROPN
ejpam-6232	200	2	r	r	X
ejpam-6232	200	3	,	,	PUNCT
ejpam-6232	200	4	β	β	X
ejpam-6232	200	5	ũ(0.9	ũ(0.9	NUM
ejpam-6232	200	6	,	,	PUNCT
ejpam-6232	200	7	0.5	0.5	NUM
ejpam-6232	200	8	;	;	PUNCT
ejpam-6232	200	9	r	r	NOUN
ejpam-6232	200	10	,	,	PUNCT
ejpam-6232	200	11	θ	θ	PROPN
ejpam-6232	200	12	)	)	PUNCT
ejpam-6232	200	13	ẽ(0.9	ẽ(0.9	PROPN
ejpam-6232	200	14	,	,	PUNCT
ejpam-6232	200	15	0.5	0.5	NUM
ejpam-6232	200	16	;	;	PUNCT
ejpam-6232	200	17	r	r	NOUN
ejpam-6232	200	18	,	,	PUNCT
ejpam-6232	200	19	θ	θ	NOUN
ejpam-6232	200	20	)	)	PUNCT
ejpam-6232	200	21	ũ(0.9	ũ(0.9	NUM
ejpam-6232	200	22	,	,	PUNCT
ejpam-6232	200	23	0.5;β	0.5;β	PROPN
ejpam-6232	200	24	,	,	PUNCT
ejpam-6232	200	25	θ	θ	PROPN
ejpam-6232	200	26	)	)	PUNCT
ejpam-6232	200	27	ẽ(0.9	ẽ(0.9	PROPN
ejpam-6232	200	28	,	,	PUNCT
ejpam-6232	200	29	0.5;β	0.5;β	PROPN
ejpam-6232	200	30	,	,	PUNCT
ejpam-6232	200	31	θ	θ	NOUN
ejpam-6232	200	32	)	)	PUNCT
ejpam-6232	200	33	0.2	0.2	NUM
ejpam-6232	200	34	0	0	NUM
ejpam-6232	201	1	−0.09091−	−0.09091−	NOUN
ejpam-6232	201	2	0.279796i	0.279796i	PROPN
ejpam-6232	201	3	0.0030	0.0030	NUM
ejpam-6232	202	1	+	+	CCONJ
ejpam-6232	203	1	0.0095i	0.0095i	NOUN
ejpam-6232	203	2	0	0	NUM
ejpam-6232	203	3	0	0	NUM
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ejpam-6232	203	7	0.0025	0.0025	NUM
ejpam-6232	203	8	+	+	PROPN
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ejpam-6232	204	1	+	+	CCONJ
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ejpam-6232	208	1	+	+	CCONJ
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ejpam-6232	211	1	+	+	CCONJ
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ejpam-6232	213	4	+	+	CCONJ
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ejpam-6232	214	1	0.23800−	0.23800−	PROPN
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ejpam-6232	216	1	+	+	CCONJ
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ejpam-6232	217	6	0.13833i	0.13833i	NOUN
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ejpam-6232	218	2	+	+	CCONJ
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ejpam-6232	219	1	0.041500i	0.041500i	VERB
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ejpam-6232	220	1	+	+	CCONJ
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ejpam-6232	220	5	0.10375i	0.10375i	ADP
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ejpam-6232	220	7	+	+	CCONJ
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ejpam-6232	221	1	+	+	CCONJ
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ejpam-6232	222	1	0.06917i	0.06917i	PROPN
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ejpam-6232	222	3	+	+	PUNCT
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ejpam-6232	225	1	+	+	CCONJ
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ejpam-6232	227	1	0.03458i	0.03458i	NUM
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ejpam-6232	227	3	+	+	CCONJ
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ejpam-6232	228	1	+	+	CCONJ
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ejpam-6232	228	5	0	0	NUM
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ejpam-6232	229	2	+	+	CCONJ
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ejpam-6232	231	45	+	+	CCONJ
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ejpam-6232	231	51	+	+	NUM
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ejpam-6232	231	54	+	+	CCONJ
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ejpam-6232	231	58	+	+	CCONJ
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ejpam-6232	231	61	+	+	CCONJ
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ejpam-6232	231	67	+	+	CCONJ
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ejpam-6232	232	7	+	+	CCONJ
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ejpam-6232	233	1	+	+	CCONJ
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ejpam-6232	235	1	+	+	CCONJ
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ejpam-6232	235	4	+	+	CCONJ
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ejpam-6232	235	7	+	+	CCONJ
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ejpam-6232	236	7	+	+	NOUN
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ejpam-6232	237	1	+	+	PUNCT
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ejpam-6232	240	8	+	+	CCONJ
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ejpam-6232	241	1	+	+	CCONJ
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ejpam-6232	244	1	+	+	CCONJ
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ejpam-6232	245	1	+	+	CCONJ
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ejpam-6232	246	4	+	+	NUM
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ejpam-6232	246	7	+	+	NUM
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ejpam-6232	247	1	+	+	CCONJ
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ejpam-6232	249	1	+	+	CCONJ
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ejpam-6232	249	4	+	+	CCONJ
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ejpam-6232	249	8	0	0	NUM
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ejpam-6232	249	10	+	+	NUM
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ejpam-6232	249	13	+	+	CCONJ
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ejpam-6232	249	17	:	:	PUNCT
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ejpam-6232	249	34	=	=	SYM
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ejpam-6232	249	38	=	=	PUNCT
ejpam-6232	249	39	0.4	0.4	NUM
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ejpam-6232	249	43	,	,	PUNCT
ejpam-6232	249	44	β	β	X
ejpam-6232	249	45	∈	∈	PROPN
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ejpam-6232	250	5	]	]	PUNCT
ejpam-6232	250	6	a.	a.	NOUN
ejpam-6232	250	7	u.	u.	PROPN
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ejpam-6232	250	9	et	et	PROPN
ejpam-6232	250	10	al	al	PROPN
ejpam-6232	250	11	.	.	PUNCT
ejpam-6232	250	12	/	/	SYM
ejpam-6232	250	13	eur	eur	PROPN
ejpam-6232	250	14	.	.	PUNCT
ejpam-6232	251	1	j.	j.	PROPN
ejpam-6232	251	2	pure	pure	PROPN
ejpam-6232	251	3	appl	appl	PROPN
ejpam-6232	251	4	.	.	PROPN
ejpam-6232	251	5	math	math	PROPN
ejpam-6232	251	6	,	,	PUNCT
ejpam-6232	251	7	18	18	NUM
ejpam-6232	251	8	(	(	PUNCT
ejpam-6232	251	9	3	3	NUM
ejpam-6232	251	10	)	)	PUNCT
ejpam-6232	251	11	(	(	PUNCT
ejpam-6232	251	12	2025	2025	NUM
ejpam-6232	251	13	)	)	PUNCT
ejpam-6232	251	14	,	,	PUNCT
ejpam-6232	251	15	6232	6232	NUM
ejpam-6232	251	16	12	12	NUM
ejpam-6232	251	17	of	of	ADP
ejpam-6232	251	18	15	15	NUM
ejpam-6232	251	19	the	the	DET
ejpam-6232	251	20	numerical	numerical	ADJ
ejpam-6232	251	21	solutions	solution	NOUN
ejpam-6232	251	22	derived	derive	VERB
ejpam-6232	251	23	using	use	VERB
ejpam-6232	251	24	the	the	DET
ejpam-6232	251	25	explicit	explicit	ADJ
ejpam-6232	251	26	ftcs	ftcs	NOUN
ejpam-6232	251	27	method	method	NOUN
ejpam-6232	251	28	demonstrate	demonstrate	VERB
ejpam-6232	251	29	strong	strong	ADJ
ejpam-6232	251	30	agreement	agreement	NOUN
ejpam-6232	251	31	with	with	ADP
ejpam-6232	251	32	the	the	DET
ejpam-6232	251	33	exact	exact	ADJ
ejpam-6232	251	34	solution	solution	NOUN
ejpam-6232	251	35	at	at	ADP
ejpam-6232	251	36	ξ	ξ	X
ejpam-6232	251	37	=	=	SYM
ejpam-6232	251	38	0.9	0.9	NUM
ejpam-6232	251	39	,	,	PUNCT
ejpam-6232	251	40	t	t	NOUN
ejpam-6232	251	41	=	=	NOUN
ejpam-6232	251	42	0.05	0.05	NUM
ejpam-6232	251	43	∀r	∀r	NOUN
ejpam-6232	251	44	,	,	PUNCT
ejpam-6232	251	45	β	β	X
ejpam-6232	251	46	,	,	PUNCT
ejpam-6232	251	47	θ	θ	PROPN
ejpam-6232	251	48	∈	∈	PROPN
ejpam-6232	252	1	[	[	X
ejpam-6232	252	2	0	0	NUM
ejpam-6232	252	3	,	,	PUNCT
ejpam-6232	252	4	1	1	NUM
ejpam-6232	252	5	]	]	PUNCT
ejpam-6232	252	6	,	,	PUNCT
ejpam-6232	252	7	as	as	SCONJ
ejpam-6232	252	8	demonstrated	demonstrate	VERB
ejpam-6232	252	9	in	in	ADP
ejpam-6232	252	10	figures	figure	NOUN
ejpam-6232	252	11	2	2	NUM
ejpam-6232	252	12	,	,	PUNCT
ejpam-6232	252	13	3	3	NUM
ejpam-6232	252	14	,	,	PUNCT
ejpam-6232	252	15	and	and	CCONJ
ejpam-6232	252	16	4	4	NUM
ejpam-6232	252	17	and	and	CCONJ
ejpam-6232	252	18	tables	table	NOUN
ejpam-6232	252	19	1	1	NUM
ejpam-6232	252	20	,	,	PUNCT
ejpam-6232	252	21	2	2	NUM
ejpam-6232	252	22	.	.	PUNCT
ejpam-6232	252	23	moreover	moreover	ADV
ejpam-6232	252	24	,	,	PUNCT
ejpam-6232	252	25	the	the	DET
ejpam-6232	252	26	numerical	numerical	ADJ
ejpam-6232	252	27	solution	solution	NOUN
ejpam-6232	252	28	and	and	CCONJ
ejpam-6232	252	29	exact	exact	ADJ
ejpam-6232	252	30	solution	solution	NOUN
ejpam-6232	252	31	obtained	obtain	VERB
ejpam-6232	252	32	from	from	ADP
ejpam-6232	252	33	our	our	PRON
ejpam-6232	252	34	proposed	propose	VERB
ejpam-6232	252	35	schemes	scheme	NOUN
ejpam-6232	252	36	assume	assume	VERB
ejpam-6232	252	37	the	the	DET
ejpam-6232	252	38	structure	structure	NOUN
ejpam-6232	252	39	of	of	ADP
ejpam-6232	252	40	triangular	triangular	NOUN
ejpam-6232	252	41	fuzzy	fuzzy	ADJ
ejpam-6232	252	42	numbers	number	NOUN
ejpam-6232	252	43	in	in	ADP
ejpam-6232	252	44	both	both	CCONJ
ejpam-6232	252	45	the	the	DET
ejpam-6232	252	46	amplitude	amplitude	NOUN
ejpam-6232	252	47	and	and	CCONJ
ejpam-6232	252	48	phase	phase	NOUN
ejpam-6232	252	49	parts	part	NOUN
ejpam-6232	252	50	,	,	PUNCT
ejpam-6232	252	51	aligning	align	VERB
ejpam-6232	252	52	with	with	ADP
ejpam-6232	252	53	the	the	DET
ejpam-6232	252	54	characteristics	characteristic	NOUN
ejpam-6232	252	55	of	of	ADP
ejpam-6232	252	56	a	a	DET
ejpam-6232	252	57	c.	c.	NOUN
ejpam-6232	252	58	in	in	ADP
ejpam-6232	252	59	addition	addition	NOUN
ejpam-6232	252	60	,	,	PUNCT
ejpam-6232	252	61	as	as	SCONJ
ejpam-6232	252	62	can	can	AUX
ejpam-6232	252	63	be	be	AUX
ejpam-6232	252	64	seen	see	VERB
ejpam-6232	252	65	from	from	ADP
ejpam-6232	252	66	tables	table	NOUN
ejpam-6232	252	67	1	1	NUM
ejpam-6232	252	68	,	,	PUNCT
ejpam-6232	252	69	2	2	NUM
ejpam-6232	252	70	,	,	PUNCT
ejpam-6232	252	71	the	the	DET
ejpam-6232	252	72	accuracy	accuracy	NOUN
ejpam-6232	252	73	of	of	ADP
ejpam-6232	252	74	the	the	DET
ejpam-6232	252	75	numerical	numerical	ADJ
ejpam-6232	252	76	outcomes	outcome	NOUN
ejpam-6232	252	77	is	be	AUX
ejpam-6232	252	78	contingent	contingent	ADJ
ejpam-6232	252	79	upon	upon	SCONJ
ejpam-6232	252	80	the	the	DET
ejpam-6232	252	81	phase	phase	NOUN
ejpam-6232	252	82	term	term	NOUN
ejpam-6232	252	83	value	value	NOUN
ejpam-6232	252	84	θ	θ	PROPN
ejpam-6232	252	85	.	.	PUNCT
ejpam-6232	253	1	this	this	PRON
ejpam-6232	253	2	supports	support	VERB
ejpam-6232	253	3	our	our	PRON
ejpam-6232	253	4	theoretical	theoretical	ADJ
ejpam-6232	253	5	framework	framework	NOUN
ejpam-6232	253	6	and	and	CCONJ
ejpam-6232	253	7	illustrates	illustrate	VERB
ejpam-6232	253	8	the	the	DET
ejpam-6232	253	9	important	important	ADJ
ejpam-6232	253	10	influence	influence	NOUN
ejpam-6232	253	11	of	of	ADP
ejpam-6232	253	12	including	include	VERB
ejpam-6232	253	13	the	the	DET
ejpam-6232	253	14	complex	complex	ADJ
ejpam-6232	253	15	non	non	ADJ
ejpam-6232	253	16	-	-	ADJ
ejpam-6232	253	17	membership	membership	ADJ
ejpam-6232	253	18	function	function	NOUN
ejpam-6232	253	19	.	.	PUNCT
ejpam-6232	254	1	it	it	PRON
ejpam-6232	254	2	is	be	AUX
ejpam-6232	254	3	assumed	assume	VERB
ejpam-6232	254	4	that	that	SCONJ
ejpam-6232	254	5	the	the	DET
ejpam-6232	254	6	numerical	numerical	ADJ
ejpam-6232	254	7	solution	solution	NOUN
ejpam-6232	254	8	of	of	ADP
ejpam-6232	254	9	the	the	DET
ejpam-6232	254	10	intuitionistic	intuitionistic	ADJ
ejpam-6232	254	11	fuzzy	fuzzy	ADJ
ejpam-6232	254	12	heat	heat	NOUN
ejpam-6232	254	13	equation	equation	NOUN
ejpam-6232	254	14	is	be	AUX
ejpam-6232	254	15	derived	derive	VERB
ejpam-6232	254	16	from	from	ADP
ejpam-6232	254	17	the	the	DET
ejpam-6232	254	18	cif	cif	PROPN
ejpam-6232	254	19	heat	heat	NOUN
ejpam-6232	254	20	equation	equation	NOUN
ejpam-6232	254	21	through	through	ADP
ejpam-6232	254	22	substitution	substitution	NOUN
ejpam-6232	254	23	θ	θ	PROPN
ejpam-6232	254	24	=	=	SYM
ejpam-6232	254	25	0	0	NUM
ejpam-6232	254	26	and	and	CCONJ
ejpam-6232	254	27	1	1	NUM
ejpam-6232	254	28	.	.	PUNCT
ejpam-6232	255	1	in	in	ADP
ejpam-6232	255	2	more	more	ADJ
ejpam-6232	255	3	detail	detail	NOUN
ejpam-6232	255	4	,	,	PUNCT
ejpam-6232	255	5	tables	table	NOUN
ejpam-6232	255	6	1	1	NUM
ejpam-6232	255	7	and	and	CCONJ
ejpam-6232	255	8	2	2	NUM
ejpam-6232	255	9	shows	show	VERB
ejpam-6232	255	10	the	the	DET
ejpam-6232	255	11	complex	complex	ADJ
ejpam-6232	255	12	intuitionistic	intuitionistic	ADJ
ejpam-6232	255	13	lower	low	ADJ
ejpam-6232	255	14	and	and	CCONJ
ejpam-6232	255	15	complex	complex	ADJ
ejpam-6232	255	16	intuitionistic	intuitionistic	ADJ
ejpam-6232	255	17	upper	upper	ADJ
ejpam-6232	255	18	solutions	solution	NOUN
ejpam-6232	255	19	for	for	ADP
ejpam-6232	255	20	membership	membership	NOUN
ejpam-6232	255	21	and	and	CCONJ
ejpam-6232	255	22	non	non	ADJ
ejpam-6232	255	23	-	-	ADJ
ejpam-6232	255	24	membership	membership	ADJ
ejpam-6232	255	25	function	function	NOUN
ejpam-6232	255	26	for	for	ADP
ejpam-6232	255	27	different	different	ADJ
ejpam-6232	255	28	values	value	NOUN
ejpam-6232	255	29	of	of	ADP
ejpam-6232	255	30	r	r	NOUN
ejpam-6232	255	31	,	,	PUNCT
ejpam-6232	255	32	θ	θ	PROPN
ejpam-6232	255	33	,	,	PUNCT
ejpam-6232	255	34	β	β	X
ejpam-6232	255	35	∈	∈	PROPN
ejpam-6232	256	1	[	[	X
ejpam-6232	256	2	0	0	NUM
ejpam-6232	256	3	,	,	PUNCT
ejpam-6232	256	4	1	1	NUM
ejpam-6232	256	5	]	]	PUNCT
ejpam-6232	256	6	.	.	PUNCT
ejpam-6232	257	1	the	the	DET
ejpam-6232	257	2	results	result	NOUN
ejpam-6232	257	3	show	show	VERB
ejpam-6232	257	4	that	that	SCONJ
ejpam-6232	257	5	the	the	DET
ejpam-6232	257	6	proposed	propose	VERB
ejpam-6232	257	7	scheme	scheme	NOUN
ejpam-6232	257	8	consistently	consistently	ADV
ejpam-6232	257	9	maintains	maintain	VERB
ejpam-6232	257	10	small	small	ADJ
ejpam-6232	257	11	errors	error	NOUN
ejpam-6232	257	12	.	.	PUNCT
ejpam-6232	258	1	for	for	ADP
ejpam-6232	258	2	instance	instance	NOUN
ejpam-6232	258	3	,	,	PUNCT
ejpam-6232	258	4	in	in	ADP
ejpam-6232	258	5	table	table	NOUN
ejpam-6232	258	6	1	1	NUM
ejpam-6232	258	7	at	at	ADP
ejpam-6232	258	8	r	r	NOUN
ejpam-6232	258	9	=	=	SYM
ejpam-6232	258	10	0	0	NUM
ejpam-6232	258	11	and	and	CCONJ
ejpam-6232	258	12	θ	θ	PROPN
ejpam-6232	258	13	=	=	SYM
ejpam-6232	258	14	0	0	PROPN
ejpam-6232	258	15	,	,	PUNCT
ejpam-6232	258	16	the	the	DET
ejpam-6232	258	17	approximate	approximate	ADJ
ejpam-6232	258	18	value	value	NOUN
ejpam-6232	258	19	is	be	AUX
ejpam-6232	258	20	−0.09091−0.279796i	−0.09091−0.279796i	NOUN
ejpam-6232	258	21	,	,	PUNCT
ejpam-6232	258	22	closely	closely	ADV
ejpam-6232	258	23	matching	match	VERB
ejpam-6232	258	24	the	the	DET
ejpam-6232	258	25	exact	exact	ADJ
ejpam-6232	258	26	value	value	NOUN
ejpam-6232	258	27	with	with	ADP
ejpam-6232	258	28	an	an	DET
ejpam-6232	258	29	error	error	NOUN
ejpam-6232	258	30	of	of	ADP
ejpam-6232	258	31	0.0030	0.0030	NUM
ejpam-6232	258	32	+0.0095i	+0.0095i	PROPN
ejpam-6232	258	33	.	.	PUNCT
ejpam-6232	259	1	then	then	ADV
ejpam-6232	259	2	,	,	PUNCT
ejpam-6232	259	3	as	as	SCONJ
ejpam-6232	259	4	r	r	NOUN
ejpam-6232	259	5	increases	increase	NOUN
ejpam-6232	259	6	,	,	PUNCT
ejpam-6232	259	7	the	the	DET
ejpam-6232	259	8	errors	error	NOUN
ejpam-6232	259	9	remain	remain	VERB
ejpam-6232	259	10	relatively	relatively	ADV
ejpam-6232	259	11	small	small	ADJ
ejpam-6232	259	12	,	,	PUNCT
ejpam-6232	259	13	indicating	indicate	VERB
ejpam-6232	259	14	that	that	SCONJ
ejpam-6232	259	15	the	the	DET
ejpam-6232	259	16	proposed	propose	VERB
ejpam-6232	259	17	scheme	scheme	NOUN
ejpam-6232	259	18	maintains	maintain	VERB
ejpam-6232	259	19	good	good	ADJ
ejpam-6232	259	20	accuracy	accuracy	NOUN
ejpam-6232	259	21	across	across	ADP
ejpam-6232	259	22	different	different	ADJ
ejpam-6232	259	23	r	r	NOUN
ejpam-6232	259	24	values	value	NOUN
ejpam-6232	259	25	.	.	PUNCT
ejpam-6232	260	1	similarly	similarly	ADV
ejpam-6232	260	2	,	,	PUNCT
ejpam-6232	260	3	the	the	DET
ejpam-6232	260	4	upper	upper	ADJ
ejpam-6232	260	5	solutions	solution	NOUN
ejpam-6232	260	6	in	in	ADP
ejpam-6232	260	7	table	table	NOUN
ejpam-6232	260	8	2	2	NUM
ejpam-6232	260	9	also	also	ADV
ejpam-6232	260	10	show	show	VERB
ejpam-6232	260	11	high	high	ADJ
ejpam-6232	260	12	accuracy	accuracy	NOUN
ejpam-6232	260	13	.	.	PUNCT
ejpam-6232	261	1	these	these	DET
ejpam-6232	261	2	results	result	NOUN
ejpam-6232	261	3	show	show	VERB
ejpam-6232	261	4	that	that	SCONJ
ejpam-6232	261	5	the	the	DET
ejpam-6232	261	6	proposed	propose	VERB
ejpam-6232	261	7	scheme	scheme	NOUN
ejpam-6232	261	8	accurately	accurately	ADV
ejpam-6232	261	9	models	model	VERB
ejpam-6232	261	10	the	the	DET
ejpam-6232	261	11	behavior	behavior	NOUN
ejpam-6232	261	12	of	of	ADP
ejpam-6232	261	13	cif	cif	PROPN
ejpam-6232	261	14	heat	heat	NOUN
ejpam-6232	261	15	equation	equation	NOUN
ejpam-6232	261	16	.	.	PUNCT
ejpam-6232	262	1	fig	fig	NOUN
ejpam-6232	262	2	.	.	PUNCT
ejpam-6232	263	1	3	3	NUM
ejpam-6232	263	2	and	and	CCONJ
ejpam-6232	263	3	fig	fig	NOUN
ejpam-6232	263	4	.	.	PUNCT
ejpam-6232	264	1	4	4	NUM
ejpam-6232	264	2	illustrate	illustrate	VERB
ejpam-6232	264	3	the	the	DET
ejpam-6232	264	4	intuitionistic	intuitionistic	ADJ
ejpam-6232	264	5	fuzzy	fuzzy	ADJ
ejpam-6232	264	6	lower	low	ADJ
ejpam-6232	264	7	and	and	CCONJ
ejpam-6232	264	8	upper	upper	ADJ
ejpam-6232	264	9	solutions	solution	NOUN
ejpam-6232	264	10	for	for	ADP
ejpam-6232	264	11	membership	membership	NOUN
ejpam-6232	264	12	and	and	CCONJ
ejpam-6232	264	13	nonmembership	nonmembership	NOUN
ejpam-6232	264	14	functions	function	NOUN
ejpam-6232	264	15	,	,	PUNCT
ejpam-6232	264	16	respectively	respectively	ADV
ejpam-6232	264	17	.	.	PUNCT
ejpam-6232	265	1	these	these	DET
ejpam-6232	265	2	visual	visual	ADJ
ejpam-6232	265	3	representations	representation	NOUN
ejpam-6232	265	4	support	support	VERB
ejpam-6232	265	5	the	the	DET
ejpam-6232	265	6	numerical	numerical	ADJ
ejpam-6232	265	7	findings	finding	NOUN
ejpam-6232	265	8	in	in	ADP
ejpam-6232	265	9	tables	table	NOUN
ejpam-6232	265	10	1	1	NUM
ejpam-6232	265	11	and	and	CCONJ
ejpam-6232	265	12	2	2	NUM
ejpam-6232	265	13	,	,	PUNCT
ejpam-6232	265	14	showing	show	VERB
ejpam-6232	265	15	good	good	ADJ
ejpam-6232	265	16	agreement	agreement	NOUN
ejpam-6232	265	17	between	between	ADP
ejpam-6232	265	18	the	the	DET
ejpam-6232	265	19	proposed	propose	VERB
ejpam-6232	265	20	scheme	scheme	NOUN
ejpam-6232	265	21	results	result	NOUN
ejpam-6232	265	22	and	and	CCONJ
ejpam-6232	265	23	the	the	DET
ejpam-6232	265	24	exact	exact	ADJ
ejpam-6232	265	25	solutions	solution	NOUN
ejpam-6232	265	26	.	.	PUNCT
ejpam-6232	266	1	in	in	ADP
ejpam-6232	266	2	addition	addition	NOUN
ejpam-6232	266	3	to	to	ADP
ejpam-6232	266	4	its	its	PRON
ejpam-6232	266	5	mathematical	mathematical	ADJ
ejpam-6232	266	6	contribution	contribution	NOUN
ejpam-6232	266	7	,	,	PUNCT
ejpam-6232	266	8	the	the	DET
ejpam-6232	266	9	proposed	propose	VERB
ejpam-6232	266	10	model	model	NOUN
ejpam-6232	266	11	based	base	VERB
ejpam-6232	266	12	on	on	ADP
ejpam-6232	266	13	cifss	cifss	NOUN
ejpam-6232	266	14	offer	offer	VERB
ejpam-6232	266	15	meaningful	meaningful	ADJ
ejpam-6232	266	16	physical	physical	ADJ
ejpam-6232	266	17	interpretations	interpretation	NOUN
ejpam-6232	266	18	and	and	CCONJ
ejpam-6232	266	19	practical	practical	ADJ
ejpam-6232	266	20	relevance	relevance	NOUN
ejpam-6232	266	21	.	.	PUNCT
ejpam-6232	267	1	cifss	cifss	NOUN
ejpam-6232	267	2	enable	enable	VERB
ejpam-6232	267	3	the	the	DET
ejpam-6232	267	4	simultaneous	simultaneous	ADJ
ejpam-6232	267	5	representation	representation	NOUN
ejpam-6232	267	6	of	of	ADP
ejpam-6232	267	7	uncertainty	uncertainty	NOUN
ejpam-6232	267	8	in	in	ADP
ejpam-6232	267	9	amplitude	amplitude	NOUN
ejpam-6232	267	10	,	,	PUNCT
ejpam-6232	267	11	phase	phase	NOUN
ejpam-6232	267	12	,	,	PUNCT
ejpam-6232	267	13	and	and	CCONJ
ejpam-6232	267	14	degree	degree	NOUN
ejpam-6232	267	15	of	of	ADP
ejpam-6232	267	16	hesitation	hesitation	NOUN
ejpam-6232	267	17	,	,	PUNCT
ejpam-6232	267	18	which	which	PRON
ejpam-6232	267	19	are	be	AUX
ejpam-6232	267	20	critical	critical	ADJ
ejpam-6232	267	21	in	in	ADP
ejpam-6232	267	22	many	many	ADJ
ejpam-6232	267	23	real	real	ADJ
ejpam-6232	267	24	-	-	PUNCT
ejpam-6232	267	25	world	world	NOUN
ejpam-6232	267	26	systems	system	NOUN
ejpam-6232	267	27	where	where	SCONJ
ejpam-6232	267	28	uncertainty	uncertainty	NOUN
ejpam-6232	267	29	is	be	AUX
ejpam-6232	267	30	multi	multi	ADJ
ejpam-6232	267	31	-	-	ADJ
ejpam-6232	267	32	faceted	faceted	ADJ
ejpam-6232	267	33	and	and	CCONJ
ejpam-6232	267	34	not	not	PART
ejpam-6232	267	35	purely	purely	ADV
ejpam-6232	267	36	scalar	scalar	ADJ
ejpam-6232	267	37	.	.	PUNCT
ejpam-6232	268	1	this	this	PRON
ejpam-6232	268	2	makes	make	VERB
ejpam-6232	268	3	the	the	DET
ejpam-6232	268	4	cif	cif	PROPN
ejpam-6232	268	5	heat	heat	NOUN
ejpam-6232	268	6	equation	equation	NOUN
ejpam-6232	268	7	framework	framework	NOUN
ejpam-6232	268	8	particularly	particularly	ADV
ejpam-6232	268	9	useful	useful	ADJ
ejpam-6232	268	10	for	for	ADP
ejpam-6232	268	11	modeling	modeling	NOUN
ejpam-6232	268	12	and	and	CCONJ
ejpam-6232	268	13	solving	solve	VERB
ejpam-6232	268	14	problems	problem	NOUN
ejpam-6232	268	15	in	in	ADP
ejpam-6232	268	16	electromagnetic	electromagnetic	ADJ
ejpam-6232	268	17	signal	signal	NOUN
ejpam-6232	268	18	processing	processing	NOUN
ejpam-6232	268	19	,	,	PUNCT
ejpam-6232	268	20	where	where	SCONJ
ejpam-6232	268	21	uncertain	uncertain	ADJ
ejpam-6232	268	22	phase	phase	NOUN
ejpam-6232	268	23	and	and	CCONJ
ejpam-6232	268	24	intensity	intensity	NOUN
ejpam-6232	268	25	variations	variation	NOUN
ejpam-6232	268	26	are	be	AUX
ejpam-6232	268	27	common	common	ADJ
ejpam-6232	268	28	;	;	PUNCT
ejpam-6232	268	29	biomedical	biomedical	ADJ
ejpam-6232	268	30	imaging	imaging	NOUN
ejpam-6232	268	31	,	,	PUNCT
ejpam-6232	268	32	such	such	ADJ
ejpam-6232	268	33	as	as	ADP
ejpam-6232	268	34	mri	mri	NOUN
ejpam-6232	268	35	or	or	CCONJ
ejpam-6232	268	36	eeg	eeg	NOUN
ejpam-6232	268	37	,	,	PUNCT
ejpam-6232	268	38	where	where	SCONJ
ejpam-6232	268	39	data	datum	NOUN
ejpam-6232	268	40	uncertainty	uncertainty	NOUN
ejpam-6232	268	41	includes	include	VERB
ejpam-6232	268	42	both	both	DET
ejpam-6232	268	43	measurement	measurement	NOUN
ejpam-6232	268	44	noise	noise	NOUN
ejpam-6232	268	45	and	and	CCONJ
ejpam-6232	268	46	interpretative	interpretative	ADJ
ejpam-6232	268	47	ambiguity	ambiguity	NOUN
ejpam-6232	268	48	;	;	PUNCT
ejpam-6232	268	49	and	and	CCONJ
ejpam-6232	268	50	thermal	thermal	ADJ
ejpam-6232	268	51	analysis	analysis	NOUN
ejpam-6232	268	52	in	in	ADP
ejpam-6232	268	53	composite	composite	ADJ
ejpam-6232	268	54	or	or	CCONJ
ejpam-6232	268	55	anisotropic	anisotropic	NOUN
ejpam-6232	268	56	materials	material	NOUN
ejpam-6232	268	57	,	,	PUNCT
ejpam-6232	268	58	where	where	SCONJ
ejpam-6232	268	59	heat	heat	NOUN
ejpam-6232	268	60	conduction	conduction	NOUN
ejpam-6232	268	61	properties	property	NOUN
ejpam-6232	268	62	are	be	AUX
ejpam-6232	268	63	not	not	PART
ejpam-6232	268	64	precisely	precisely	ADV
ejpam-6232	268	65	known	know	VERB
ejpam-6232	268	66	.	.	PUNCT
ejpam-6232	269	1	furthermore	furthermore	ADV
ejpam-6232	269	2	,	,	PUNCT
ejpam-6232	269	3	the	the	DET
ejpam-6232	269	4	ability	ability	NOUN
ejpam-6232	269	5	of	of	ADP
ejpam-6232	269	6	cifss	cifss	NOUN
ejpam-6232	269	7	to	to	PART
ejpam-6232	269	8	capture	capture	VERB
ejpam-6232	269	9	membership	membership	NOUN
ejpam-6232	269	10	,	,	PUNCT
ejpam-6232	269	11	nonmembership	nonmembership	NOUN
ejpam-6232	269	12	,	,	PUNCT
ejpam-6232	269	13	and	and	CCONJ
ejpam-6232	269	14	hesitation	hesitation	NOUN
ejpam-6232	269	15	information	information	NOUN
ejpam-6232	269	16	allows	allow	VERB
ejpam-6232	269	17	for	for	ADP
ejpam-6232	269	18	more	more	ADV
ejpam-6232	269	19	nuanced	nuanced	ADJ
ejpam-6232	269	20	modeling	modeling	NOUN
ejpam-6232	269	21	in	in	ADP
ejpam-6232	269	22	decisionmaking	decisionmake	VERB
ejpam-6232	269	23	systems	system	NOUN
ejpam-6232	269	24	,	,	PUNCT
ejpam-6232	269	25	robotics	robotic	NOUN
ejpam-6232	269	26	,	,	PUNCT
ejpam-6232	269	27	and	and	CCONJ
ejpam-6232	269	28	intelligent	intelligent	ADJ
ejpam-6232	269	29	control	control	NOUN
ejpam-6232	269	30	under	under	ADP
ejpam-6232	269	31	uncertainty	uncertainty	NOUN
ejpam-6232	269	32	.	.	PUNCT
ejpam-6232	270	1	these	these	DET
ejpam-6232	270	2	applications	application	NOUN
ejpam-6232	270	3	demonstrate	demonstrate	VERB
ejpam-6232	270	4	the	the	DET
ejpam-6232	270	5	broader	broad	ADJ
ejpam-6232	270	6	utility	utility	NOUN
ejpam-6232	270	7	of	of	ADP
ejpam-6232	270	8	the	the	DET
ejpam-6232	270	9	proposed	propose	VERB
ejpam-6232	270	10	cif	cif	PROPN
ejpam-6232	270	11	heat	heat	PROPN
ejpam-6232	270	12	equation	equation	NOUN
ejpam-6232	270	13	model	model	NOUN
ejpam-6232	270	14	beyond	beyond	ADP
ejpam-6232	270	15	pure	pure	ADJ
ejpam-6232	270	16	mathematical	mathematical	ADJ
ejpam-6232	270	17	theory	theory	NOUN
ejpam-6232	270	18	.	.	PUNCT
ejpam-6232	271	1	4	4	X
ejpam-6232	271	2	.	.	X
ejpam-6232	271	3	conclusions	conclusion	NOUN
ejpam-6232	271	4	in	in	ADP
ejpam-6232	271	5	this	this	DET
ejpam-6232	271	6	study	study	NOUN
ejpam-6232	271	7	,	,	PUNCT
ejpam-6232	271	8	we	we	PRON
ejpam-6232	271	9	proposed	propose	VERB
ejpam-6232	271	10	and	and	CCONJ
ejpam-6232	271	11	analyzed	analyze	VERB
ejpam-6232	271	12	a	a	DET
ejpam-6232	271	13	solution	solution	NOUN
ejpam-6232	271	14	approach	approach	NOUN
ejpam-6232	271	15	for	for	ADP
ejpam-6232	271	16	the	the	DET
ejpam-6232	271	17	cif	cif	PROPN
ejpam-6232	271	18	heat	heat	NOUN
ejpam-6232	271	19	equation	equation	NOUN
ejpam-6232	271	20	using	use	VERB
ejpam-6232	271	21	the	the	DET
ejpam-6232	271	22	ftcs	ftcs	NOUN
ejpam-6232	271	23	finite	finite	PROPN
ejpam-6232	271	24	difference	difference	NOUN
ejpam-6232	271	25	scheme	scheme	NOUN
ejpam-6232	271	26	.	.	PUNCT
ejpam-6232	272	1	the	the	DET
ejpam-6232	272	2	model	model	NOUN
ejpam-6232	272	3	incorporates	incorporate	VERB
ejpam-6232	272	4	cif	cif	PROPN
ejpam-6232	272	5	numbers	number	NOUN
ejpam-6232	272	6	to	to	PART
ejpam-6232	272	7	represent	represent	VERB
ejpam-6232	272	8	uncertainties	uncertainty	NOUN
ejpam-6232	272	9	in	in	ADP
ejpam-6232	272	10	both	both	CCONJ
ejpam-6232	272	11	the	the	DET
ejpam-6232	272	12	amplitude	amplitude	NOUN
ejpam-6232	272	13	and	and	CCONJ
ejpam-6232	272	14	phase	phase	NOUN
ejpam-6232	272	15	of	of	ADP
ejpam-6232	272	16	membership	membership	NOUN
ejpam-6232	272	17	and	and	CCONJ
ejpam-6232	272	18	non	non	ADJ
ejpam-6232	272	19	-	-	ADJ
ejpam-6232	272	20	membership	membership	ADJ
ejpam-6232	272	21	functions	function	NOUN
ejpam-6232	272	22	.	.	PUNCT
ejpam-6232	273	1	this	this	DET
ejpam-6232	273	2	dual	dual	ADJ
ejpam-6232	273	3	representation	representation	NOUN
ejpam-6232	273	4	captures	capture	VERB
ejpam-6232	273	5	a	a	DET
ejpam-6232	273	6	higher	high	ADJ
ejpam-6232	273	7	degree	degree	NOUN
ejpam-6232	273	8	of	of	ADP
ejpam-6232	273	9	uncertainty	uncertainty	NOUN
ejpam-6232	273	10	compared	compare	VERB
ejpam-6232	273	11	to	to	ADP
ejpam-6232	273	12	a.	a.	PROPN
ejpam-6232	273	13	u.	u.	PROPN
ejpam-6232	273	14	alkouri	alkouri	PROPN
ejpam-6232	273	15	et	et	PROPN
ejpam-6232	273	16	al	al	PROPN
ejpam-6232	273	17	.	.	PUNCT
ejpam-6232	273	18	/	/	SYM
ejpam-6232	273	19	eur	eur	PROPN
ejpam-6232	273	20	.	.	PUNCT
ejpam-6232	274	1	j.	j.	PROPN
ejpam-6232	274	2	pure	pure	PROPN
ejpam-6232	274	3	appl	appl	PROPN
ejpam-6232	274	4	.	.	PROPN
ejpam-6232	274	5	math	math	PROPN
ejpam-6232	274	6	,	,	PUNCT
ejpam-6232	274	7	18	18	NUM
ejpam-6232	274	8	(	(	PUNCT
ejpam-6232	274	9	3	3	NUM
ejpam-6232	274	10	)	)	PUNCT
ejpam-6232	274	11	(	(	PUNCT
ejpam-6232	274	12	2025	2025	NUM
ejpam-6232	274	13	)	)	PUNCT
ejpam-6232	274	14	,	,	PUNCT
ejpam-6232	274	15	6232	6232	NUM
ejpam-6232	274	16	13	13	NUM
ejpam-6232	274	17	of	of	ADP
ejpam-6232	274	18	15	15	NUM
ejpam-6232	274	19	classical	classical	ADJ
ejpam-6232	274	20	or	or	CCONJ
ejpam-6232	274	21	even	even	ADV
ejpam-6232	274	22	complex	complex	ADJ
ejpam-6232	274	23	fuzzy	fuzzy	ADJ
ejpam-6232	274	24	models	model	NOUN
ejpam-6232	274	25	.	.	PUNCT
ejpam-6232	275	1	the	the	DET
ejpam-6232	275	2	results	result	NOUN
ejpam-6232	275	3	demonstrate	demonstrate	VERB
ejpam-6232	275	4	that	that	SCONJ
ejpam-6232	275	5	the	the	DET
ejpam-6232	275	6	ftcs	ftcs	NOUN
ejpam-6232	275	7	scheme	scheme	NOUN
ejpam-6232	275	8	preserves	preserve	VERB
ejpam-6232	275	9	the	the	DET
ejpam-6232	275	10	structural	structural	ADJ
ejpam-6232	275	11	features	feature	NOUN
ejpam-6232	275	12	of	of	ADP
ejpam-6232	275	13	cif	cif	PROPN
ejpam-6232	275	14	numbers	number	NOUN
ejpam-6232	275	15	when	when	SCONJ
ejpam-6232	275	16	triangular	triangular	ADJ
ejpam-6232	275	17	fuzzy	fuzzy	ADJ
ejpam-6232	275	18	numbers	number	NOUN
ejpam-6232	275	19	are	be	AUX
ejpam-6232	275	20	used	use	VERB
ejpam-6232	275	21	for	for	ADP
ejpam-6232	275	22	both	both	DET
ejpam-6232	275	23	amplitude	amplitude	NOUN
ejpam-6232	275	24	and	and	CCONJ
ejpam-6232	275	25	phase	phase	NOUN
ejpam-6232	275	26	parts	part	NOUN
ejpam-6232	275	27	.	.	PUNCT
ejpam-6232	276	1	the	the	DET
ejpam-6232	276	2	scheme	scheme	NOUN
ejpam-6232	276	3	achieves	achieve	VERB
ejpam-6232	276	4	a	a	DET
ejpam-6232	276	5	computational	computational	ADJ
ejpam-6232	276	6	accuracy	accuracy	NOUN
ejpam-6232	276	7	of	of	ADP
ejpam-6232	276	8	order	order	NOUN
ejpam-6232	276	9	o(∆t+∆ξ2	o(∆t+∆ξ2	NOUN
ejpam-6232	276	10	)	)	PUNCT
ejpam-6232	276	11	,	,	PUNCT
ejpam-6232	276	12	confirming	confirm	VERB
ejpam-6232	276	13	its	its	PRON
ejpam-6232	276	14	numerical	numerical	ADJ
ejpam-6232	276	15	stability	stability	NOUN
ejpam-6232	276	16	and	and	CCONJ
ejpam-6232	276	17	convergence	convergence	NOUN
ejpam-6232	276	18	under	under	ADP
ejpam-6232	276	19	complex	complex	ADJ
ejpam-6232	276	20	intuitionistic	intuitionistic	ADJ
ejpam-6232	276	21	fuzzy	fuzzy	ADJ
ejpam-6232	276	22	conditions	condition	NOUN
ejpam-6232	276	23	.	.	PUNCT
ejpam-6232	277	1	moreover	moreover	ADV
ejpam-6232	277	2	,	,	PUNCT
ejpam-6232	277	3	the	the	DET
ejpam-6232	277	4	proposed	propose	VERB
ejpam-6232	277	5	method	method	NOUN
ejpam-6232	277	6	proves	prove	VERB
ejpam-6232	277	7	to	to	PART
ejpam-6232	277	8	be	be	AUX
ejpam-6232	277	9	computationally	computationally	ADV
ejpam-6232	277	10	efficient	efficient	ADJ
ejpam-6232	277	11	and	and	CCONJ
ejpam-6232	277	12	generalizable	generalizable	ADJ
ejpam-6232	277	13	for	for	ADP
ejpam-6232	277	14	modeling	model	VERB
ejpam-6232	277	15	periodic	periodic	ADJ
ejpam-6232	277	16	heat	heat	NOUN
ejpam-6232	277	17	transfer	transfer	NOUN
ejpam-6232	277	18	and	and	CCONJ
ejpam-6232	277	19	other	other	ADJ
ejpam-6232	277	20	dynamic	dynamic	ADJ
ejpam-6232	277	21	systems	system	NOUN
ejpam-6232	277	22	involving	involve	VERB
ejpam-6232	277	23	complex	complex	ADJ
ejpam-6232	277	24	uncertainty	uncertainty	NOUN
ejpam-6232	277	25	.	.	PUNCT
ejpam-6232	278	1	the	the	DET
ejpam-6232	278	2	findings	finding	NOUN
ejpam-6232	278	3	support	support	VERB
ejpam-6232	278	4	the	the	DET
ejpam-6232	278	5	viability	viability	NOUN
ejpam-6232	278	6	of	of	ADP
ejpam-6232	278	7	cif	cif	PROPN
ejpam-6232	278	8	heat	heat	NOUN
ejpam-6232	278	9	equation	equation	NOUN
ejpam-6232	278	10	for	for	ADP
ejpam-6232	278	11	a	a	DET
ejpam-6232	278	12	wide	wide	ADJ
ejpam-6232	278	13	range	range	NOUN
ejpam-6232	278	14	of	of	ADP
ejpam-6232	278	15	real	real	ADJ
ejpam-6232	278	16	-	-	PUNCT
ejpam-6232	278	17	world	world	NOUN
ejpam-6232	278	18	applications	application	NOUN
ejpam-6232	278	19	,	,	PUNCT
ejpam-6232	278	20	such	such	ADJ
ejpam-6232	278	21	as	as	ADP
ejpam-6232	278	22	thermal	thermal	ADJ
ejpam-6232	278	23	systems	system	NOUN
ejpam-6232	278	24	,	,	PUNCT
ejpam-6232	278	25	material	material	NOUN
ejpam-6232	278	26	modeling	modeling	NOUN
ejpam-6232	278	27	,	,	PUNCT
ejpam-6232	278	28	and	and	CCONJ
ejpam-6232	278	29	engineering	engineering	NOUN
ejpam-6232	278	30	processes	process	NOUN
ejpam-6232	278	31	under	under	ADP
ejpam-6232	278	32	uncertainty	uncertainty	NOUN
ejpam-6232	278	33	.	.	PUNCT
ejpam-6232	279	1	this	this	DET
ejpam-6232	279	2	work	work	NOUN
ejpam-6232	279	3	makes	make	VERB
ejpam-6232	279	4	a	a	DET
ejpam-6232	279	5	significant	significant	ADJ
ejpam-6232	279	6	contribution	contribution	NOUN
ejpam-6232	279	7	by	by	ADP
ejpam-6232	279	8	extending	extend	VERB
ejpam-6232	279	9	the	the	DET
ejpam-6232	279	10	classical	classical	ADJ
ejpam-6232	279	11	and	and	CCONJ
ejpam-6232	279	12	complex	complex	ADJ
ejpam-6232	279	13	fuzzy	fuzzy	ADJ
ejpam-6232	279	14	heat	heat	NOUN
ejpam-6232	279	15	equation	equation	NOUN
ejpam-6232	279	16	models	model	NOUN
ejpam-6232	279	17	to	to	ADP
ejpam-6232	279	18	a	a	DET
ejpam-6232	279	19	more	more	ADV
ejpam-6232	279	20	expressive	expressive	ADJ
ejpam-6232	279	21	cif	cif	PROPN
ejpam-6232	279	22	framework	framework	NOUN
ejpam-6232	279	23	.	.	PUNCT
ejpam-6232	280	1	the	the	DET
ejpam-6232	280	2	integration	integration	NOUN
ejpam-6232	280	3	of	of	ADP
ejpam-6232	280	4	both	both	PRON
ejpam-6232	280	5	membership	membership	NOUN
ejpam-6232	280	6	and	and	CCONJ
ejpam-6232	280	7	non	non	ADJ
ejpam-6232	280	8	-	-	ADJ
ejpam-6232	280	9	membership	membership	ADJ
ejpam-6232	280	10	uncertainties	uncertainty	NOUN
ejpam-6232	280	11	—	—	PUNCT
ejpam-6232	280	12	along	along	ADP
ejpam-6232	280	13	with	with	ADP
ejpam-6232	280	14	phase	phase	NOUN
ejpam-6232	280	15	information	information	NOUN
ejpam-6232	280	16	—	—	PUNCT
ejpam-6232	280	17	offers	offer	VERB
ejpam-6232	280	18	a	a	DET
ejpam-6232	280	19	richer	rich	ADJ
ejpam-6232	280	20	mathematical	mathematical	ADJ
ejpam-6232	280	21	tool	tool	NOUN
ejpam-6232	280	22	for	for	ADP
ejpam-6232	280	23	handling	handle	VERB
ejpam-6232	280	24	high	high	ADJ
ejpam-6232	280	25	-	-	PUNCT
ejpam-6232	280	26	order	order	NOUN
ejpam-6232	280	27	fuzzy	fuzzy	ADJ
ejpam-6232	280	28	uncertainty	uncertainty	NOUN
ejpam-6232	280	29	.	.	PUNCT
ejpam-6232	281	1	for	for	ADP
ejpam-6232	281	2	future	future	ADJ
ejpam-6232	281	3	research	research	NOUN
ejpam-6232	281	4	,	,	PUNCT
ejpam-6232	281	5	we	we	PRON
ejpam-6232	281	6	recommend	recommend	VERB
ejpam-6232	281	7	exploring	explore	VERB
ejpam-6232	281	8	the	the	DET
ejpam-6232	281	9	use	use	NOUN
ejpam-6232	281	10	of	of	ADP
ejpam-6232	281	11	alternative	alternative	ADJ
ejpam-6232	281	12	numerical	numerical	ADJ
ejpam-6232	281	13	schemes	scheme	NOUN
ejpam-6232	281	14	,	,	PUNCT
ejpam-6232	281	15	such	such	ADJ
ejpam-6232	281	16	as	as	ADP
ejpam-6232	281	17	explicit	explicit	ADJ
ejpam-6232	281	18	methods	method	NOUN
ejpam-6232	281	19	for	for	ADP
ejpam-6232	281	20	time	time	NOUN
ejpam-6232	281	21	-	-	PUNCT
ejpam-6232	281	22	fractional	fractional	ADJ
ejpam-6232	281	23	heat	heat	NOUN
ejpam-6232	281	24	equations	equation	NOUN
ejpam-6232	281	25	,	,	PUNCT
ejpam-6232	281	26	to	to	PART
ejpam-6232	281	27	enhance	enhance	VERB
ejpam-6232	281	28	modeling	model	VERB
ejpam-6232	281	29	flexibility	flexibility	NOUN
ejpam-6232	281	30	.	.	PUNCT
ejpam-6232	282	1	additionally	additionally	ADV
ejpam-6232	282	2	,	,	PUNCT
ejpam-6232	282	3	further	further	ADJ
ejpam-6232	282	4	generalization	generalization	NOUN
ejpam-6232	282	5	toward	toward	ADP
ejpam-6232	282	6	complex	complex	ADJ
ejpam-6232	282	7	bipolar	bipolar	ADJ
ejpam-6232	282	8	fuzzy	fuzzy	ADJ
ejpam-6232	282	9	and	and	CCONJ
ejpam-6232	282	10	complex	complex	ADJ
ejpam-6232	282	11	bipolar	bipolar	ADJ
ejpam-6232	282	12	intuitionistic	intuitionistic	ADJ
ejpam-6232	282	13	fuzzy	fuzzy	ADJ
ejpam-6232	282	14	heat	heat	NOUN
ejpam-6232	282	15	equations	equation	NOUN
ejpam-6232	282	16	is	be	AUX
ejpam-6232	282	17	proposed	propose	VERB
ejpam-6232	282	18	to	to	ADP
ejpam-6232	282	19	model	model	NOUN
ejpam-6232	282	20	systems	system	NOUN
ejpam-6232	282	21	.	.	PUNCT
ejpam-6232	283	1	references	reference	NOUN
ejpam-6232	283	2	[	[	X
ejpam-6232	283	3	1	1	NUM
ejpam-6232	283	4	]	]	PUNCT
ejpam-6232	283	5	p.	p.	NOUN
ejpam-6232	283	6	sing	sing	NOUN
ejpam-6232	283	7	,	,	PUNCT
ejpam-6232	283	8	m.	m.	NOUN
ejpam-6232	283	9	rahaman	rahaman	NOUN
ejpam-6232	283	10	,	,	PUNCT
ejpam-6232	283	11	and	and	CCONJ
ejpam-6232	283	12	s.	s.	PROPN
ejpam-6232	283	13	p.	p.	PROPN
ejpam-6232	283	14	m.	m.	PROPN
ejpam-6232	283	15	sankar	sankar	PROPN
ejpam-6232	283	16	.	.	PUNCT
ejpam-6232	284	1	solution	solution	NOUN
ejpam-6232	284	2	of	of	ADP
ejpam-6232	284	3	fuzzy	fuzzy	ADJ
ejpam-6232	284	4	system	system	NOUN
ejpam-6232	284	5	of	of	ADP
ejpam-6232	284	6	linear	linear	ADJ
ejpam-6232	284	7	equation	equation	NOUN
ejpam-6232	284	8	under	under	ADP
ejpam-6232	284	9	different	different	ADJ
ejpam-6232	284	10	fuzzy	fuzzy	ADJ
ejpam-6232	284	11	difference	difference	NOUN
ejpam-6232	284	12	ideology	ideology	NOUN
ejpam-6232	284	13	.	.	PUNCT
ejpam-6232	285	1	spectrum	spectrum	NOUN
ejpam-6232	285	2	of	of	ADP
ejpam-6232	285	3	operational	operational	ADJ
ejpam-6232	285	4	research	research	NOUN
ejpam-6232	285	5	,	,	PUNCT
ejpam-6232	285	6	1(1):64	1(1):64	NUM
ejpam-6232	285	7	–	–	PUNCT
ejpam-6232	285	8	74	74	NUM
ejpam-6232	285	9	,	,	PUNCT
ejpam-6232	285	10	2024	2024	NUM
ejpam-6232	285	11	.	.	PUNCT
ejpam-6232	286	1	[	[	X
ejpam-6232	286	2	2	2	NUM
ejpam-6232	286	3	]	]	PUNCT
ejpam-6232	286	4	p.	p.	NOUN
ejpam-6232	286	5	singh	singh	PROPN
ejpam-6232	286	6	,	,	PUNCT
ejpam-6232	286	7	k.	k.	PROPN
ejpam-6232	286	8	h.	h.	PROPN
ejpam-6232	286	9	gazi	gazi	PROPN
ejpam-6232	286	10	,	,	PUNCT
ejpam-6232	286	11	m.	m.	NOUN
ejpam-6232	286	12	rahaman	rahaman	NOUN
ejpam-6232	286	13	,	,	PUNCT
ejpam-6232	286	14	s.	s.	PROPN
ejpam-6232	286	15	salahshour	salahshour	PROPN
ejpam-6232	286	16	,	,	PUNCT
ejpam-6232	286	17	and	and	CCONJ
ejpam-6232	286	18	s.	s.	PROPN
ejpam-6232	286	19	p.	p.	PROPN
ejpam-6232	286	20	mondal	mondal	PROPN
ejpam-6232	286	21	.	.	PUNCT
ejpam-6232	287	1	a	a	DET
ejpam-6232	287	2	fuzzy	fuzzy	ADJ
ejpam-6232	287	3	fractional	fractional	ADJ
ejpam-6232	287	4	power	power	NOUN
ejpam-6232	287	5	series	series	PROPN
ejpam-6232	287	6	approximation	approximation	PROPN
ejpam-6232	287	7	and	and	CCONJ
ejpam-6232	287	8	taylor	taylor	PROPN
ejpam-6232	287	9	expansion	expansion	NOUN
ejpam-6232	287	10	for	for	ADP
ejpam-6232	287	11	solving	solve	VERB
ejpam-6232	287	12	fuzzy	fuzzy	ADJ
ejpam-6232	287	13	fractional	fractional	ADJ
ejpam-6232	287	14	differential	differential	NOUN
ejpam-6232	287	15	equation	equation	NOUN
ejpam-6232	287	16	.	.	PUNCT
ejpam-6232	288	1	decision	decision	NOUN
ejpam-6232	288	2	analytics	analytic	NOUN
ejpam-6232	288	3	journal	journal	NOUN
ejpam-6232	288	4	,	,	PUNCT
ejpam-6232	288	5	10:100402	10:100402	NUM
ejpam-6232	288	6	,	,	PUNCT
ejpam-6232	288	7	2024	2024	NUM
ejpam-6232	288	8	.	.	PUNCT
ejpam-6232	289	1	[	[	X
ejpam-6232	289	2	3	3	X
ejpam-6232	289	3	]	]	X
ejpam-6232	289	4	b.	b.	PROPN
ejpam-6232	289	5	batiha	batiha	PROPN
ejpam-6232	289	6	.	.	PUNCT
ejpam-6232	290	1	efficient	efficient	ADJ
ejpam-6232	290	2	numerical	numerical	ADJ
ejpam-6232	290	3	solutions	solution	NOUN
ejpam-6232	290	4	for	for	ADP
ejpam-6232	290	5	fuzzy	fuzzy	ADJ
ejpam-6232	290	6	time	time	NOUN
ejpam-6232	290	7	fractional	fractional	ADJ
ejpam-6232	290	8	diffusion	diffusion	NOUN
ejpam-6232	290	9	equations	equation	NOUN
ejpam-6232	290	10	using	use	VERB
ejpam-6232	290	11	two	two	NUM
ejpam-6232	290	12	explicit	explicit	ADJ
ejpam-6232	290	13	compact	compact	ADJ
ejpam-6232	290	14	finite	finite	ADJ
ejpam-6232	290	15	difference	difference	NOUN
ejpam-6232	290	16	methods	method	NOUN
ejpam-6232	290	17	.	.	PUNCT
ejpam-6232	291	1	computation	computation	NOUN
ejpam-6232	291	2	,	,	PUNCT
ejpam-6232	291	3	12(4):79	12(4):79	NUM
ejpam-6232	291	4	,	,	PUNCT
ejpam-6232	291	5	2024	2024	NUM
ejpam-6232	291	6	.	.	PUNCT
ejpam-6232	292	1	[	[	X
ejpam-6232	292	2	4	4	X
ejpam-6232	292	3	]	]	PUNCT
ejpam-6232	292	4	s.	s.	PROPN
ejpam-6232	292	5	bayeğ.	bayeğ.	PROPN
ejpam-6232	292	6	solving	solve	VERB
ejpam-6232	292	7	singularly	singularly	ADV
ejpam-6232	292	8	perturbed	perturb	VERB
ejpam-6232	292	9	differential	differential	ADJ
ejpam-6232	292	10	equations	equation	NOUN
ejpam-6232	292	11	in	in	ADP
ejpam-6232	292	12	intuitionistic	intuitionistic	ADJ
ejpam-6232	292	13	fuzzy	fuzzy	ADJ
ejpam-6232	292	14	environment	environment	NOUN
ejpam-6232	292	15	.	.	PUNCT
ejpam-6232	293	1	ain	ain	PROPN
ejpam-6232	293	2	shams	sham	VERB
ejpam-6232	293	3	engineering	engineering	NOUN
ejpam-6232	293	4	journal	journal	NOUN
ejpam-6232	293	5	,	,	PUNCT
ejpam-6232	293	6	15(7):102780	15(7):102780	NUM
ejpam-6232	293	7	,	,	PUNCT
ejpam-6232	293	8	2024	2024	NUM
ejpam-6232	293	9	.	.	PUNCT
ejpam-6232	294	1	[	[	X
ejpam-6232	294	2	5	5	X
ejpam-6232	294	3	]	]	PUNCT
ejpam-6232	294	4	s.	s.	PROPN
ejpam-6232	294	5	man	man	PROPN
ejpam-6232	294	6	,	,	PUNCT
ejpam-6232	294	7	b.	b.	PROPN
ejpam-6232	294	8	c.	c.	PROPN
ejpam-6232	294	9	saw	see	VERB
ejpam-6232	294	10	,	,	PUNCT
ejpam-6232	294	11	a.	a.	NOUN
ejpam-6232	294	12	bairagi	bairagi	PROPN
ejpam-6232	294	13	,	,	PUNCT
ejpam-6232	294	14	and	and	CCONJ
ejpam-6232	294	15	s.	s.	PROPN
ejpam-6232	294	16	b.	b.	PROPN
ejpam-6232	294	17	hazra	hazra	PROPN
ejpam-6232	294	18	.	.	PUNCT
ejpam-6232	295	1	finite	finite	ADJ
ejpam-6232	295	2	difference	difference	NOUN
ejpam-6232	295	3	method	method	NOUN
ejpam-6232	295	4	for	for	ADP
ejpam-6232	295	5	intuitionistic	intuitionistic	ADJ
ejpam-6232	295	6	fuzzy	fuzzy	ADJ
ejpam-6232	295	7	partial	partial	ADJ
ejpam-6232	295	8	differential	differential	NOUN
ejpam-6232	295	9	equations	equation	NOUN
ejpam-6232	295	10	.	.	PUNCT
ejpam-6232	296	1	in	in	ADP
ejpam-6232	296	2	computer	computer	NOUN
ejpam-6232	296	3	sciences	sciences	PROPN
ejpam-6232	296	4	&	&	CCONJ
ejpam-6232	296	5	mathematics	mathematics	PROPN
ejpam-6232	296	6	forum	forum	PROPN
ejpam-6232	296	7	,	,	PUNCT
ejpam-6232	296	8	volume	volume	NOUN
ejpam-6232	296	9	7	7	NUM
ejpam-6232	296	10	,	,	PUNCT
ejpam-6232	296	11	page	page	NOUN
ejpam-6232	296	12	48	48	NUM
ejpam-6232	296	13	.	.	PUNCT
ejpam-6232	296	14	mdpi	mdpi	PROPN
ejpam-6232	296	15	,	,	PUNCT
ejpam-6232	296	16	2023	2023	NUM
ejpam-6232	296	17	.	.	PUNCT
ejpam-6232	297	1	[	[	X
ejpam-6232	297	2	6	6	NUM
ejpam-6232	297	3	]	]	PUNCT
ejpam-6232	297	4	s.	s.	PROPN
ejpam-6232	297	5	payal	payal	PROPN
ejpam-6232	297	6	,	,	PUNCT
ejpam-6232	297	7	a.	a.	NOUN
ejpam-6232	297	8	tofigh	tofigh	NOUN
ejpam-6232	297	9	,	,	PUNCT
ejpam-6232	297	10	a.	a.	NOUN
ejpam-6232	297	11	alireza	alireza	PROPN
ejpam-6232	297	12	,	,	PUNCT
ejpam-6232	297	13	s.	s.	PROPN
ejpam-6232	297	14	mohammadreza	mohammadreza	PROPN
ejpam-6232	297	15	,	,	PUNCT
ejpam-6232	297	16	k.	k.	PROPN
ejpam-6232	297	17	h.	h.	PROPN
ejpam-6232	297	18	gazi	gazi	PROPN
ejpam-6232	297	19	,	,	PUNCT
ejpam-6232	297	20	and	and	CCONJ
ejpam-6232	297	21	p.	p.	NOUN
ejpam-6232	297	22	m.	m.	NOUN
ejpam-6232	297	23	sankar	sankar	PROPN
ejpam-6232	297	24	.	.	PUNCT
ejpam-6232	297	25	fuzzy	fuzzy	ADJ
ejpam-6232	297	26	prey	prey	NOUN
ejpam-6232	297	27	–	–	PUNCT
ejpam-6232	297	28	predator	predator	NOUN
ejpam-6232	297	29	model	model	NOUN
ejpam-6232	297	30	with	with	ADP
ejpam-6232	297	31	holling	holle	VERB
ejpam-6232	297	32	type	type	NOUN
ejpam-6232	297	33	ii	ii	NOUN
ejpam-6232	297	34	response	response	NOUN
ejpam-6232	297	35	and	and	CCONJ
ejpam-6232	297	36	its	its	PRON
ejpam-6232	297	37	application	application	NOUN
ejpam-6232	297	38	in	in	ADP
ejpam-6232	297	39	pest	pest	NOUN
ejpam-6232	297	40	control	control	NOUN
ejpam-6232	297	41	.	.	PUNCT
ejpam-6232	298	1	new	new	ADJ
ejpam-6232	298	2	mathematics	mathematic	NOUN
ejpam-6232	298	3	and	and	CCONJ
ejpam-6232	298	4	natural	natural	ADJ
ejpam-6232	298	5	computation	computation	NOUN
ejpam-6232	298	6	,	,	PUNCT
ejpam-6232	298	7	2025	2025	NUM
ejpam-6232	298	8	.	.	PUNCT
ejpam-6232	299	1	online	online	ADV
ejpam-6232	299	2	ready	ready	ADJ
ejpam-6232	299	3	.	.	PUNCT
ejpam-6232	300	1	[	[	X
ejpam-6232	300	2	7	7	X
ejpam-6232	300	3	]	]	PUNCT
ejpam-6232	300	4	m.	m.	NOUN
ejpam-6232	300	5	rahaman	rahaman	NOUN
ejpam-6232	300	6	,	,	PUNCT
ejpam-6232	300	7	d.	d.	PROPN
ejpam-6232	300	8	chalishajar	chalishajar	PROPN
ejpam-6232	300	9	,	,	PUNCT
ejpam-6232	300	10	k.	k.	PROPN
ejpam-6232	300	11	h.	h.	PROPN
ejpam-6232	300	12	gazi	gazi	PROPN
ejpam-6232	300	13	,	,	PUNCT
ejpam-6232	300	14	s.	s.	PROPN
ejpam-6232	300	15	alam	alam	PROPN
ejpam-6232	300	16	,	,	PUNCT
ejpam-6232	300	17	s.	s.	PROPN
ejpam-6232	300	18	salahshour	salahshour	PROPN
ejpam-6232	300	19	,	,	PUNCT
ejpam-6232	300	20	and	and	CCONJ
ejpam-6232	300	21	s.	s.	PROPN
ejpam-6232	300	22	p.	p.	PROPN
ejpam-6232	300	23	mondal	mondal	PROPN
ejpam-6232	300	24	.	.	PUNCT
ejpam-6232	301	1	fractional	fractional	ADJ
ejpam-6232	301	2	calculus	calculus	NOUN
ejpam-6232	301	3	for	for	ADP
ejpam-6232	301	4	type	type	NOUN
ejpam-6232	301	5	2	2	NUM
ejpam-6232	301	6	interval	interval	NOUN
ejpam-6232	301	7	-	-	PUNCT
ejpam-6232	301	8	valued	value	VERB
ejpam-6232	301	9	functions	function	NOUN
ejpam-6232	301	10	.	.	PUNCT
ejpam-6232	302	1	fractal	fractal	ADJ
ejpam-6232	302	2	and	and	CCONJ
ejpam-6232	302	3	fractional	fractional	ADJ
ejpam-6232	302	4	,	,	PUNCT
ejpam-6232	302	5	9(2):102	9(2):102	NUM
ejpam-6232	302	6	,	,	PUNCT
ejpam-6232	302	7	2025	2025	NUM
ejpam-6232	302	8	.	.	PUNCT
ejpam-6232	303	1	[	[	X
ejpam-6232	303	2	8	8	NUM
ejpam-6232	303	3	]	]	X
ejpam-6232	303	4	y.	y.	PROPN
ejpam-6232	303	5	al	al	PROPN
ejpam-6232	303	6	-	-	PUNCT
ejpam-6232	303	7	qudah	qudah	PROPN
ejpam-6232	303	8	,	,	PUNCT
ejpam-6232	303	9	m.	m.	NOUN
ejpam-6232	303	10	alaroud	alaroud	PROPN
ejpam-6232	303	11	,	,	PUNCT
ejpam-6232	303	12	h.	h.	PROPN
ejpam-6232	303	13	qoqazeh	qoqazeh	PROPN
ejpam-6232	303	14	,	,	PUNCT
ejpam-6232	303	15	a.	a.	PROPN
ejpam-6232	303	16	jaradat	jaradat	PROPN
ejpam-6232	303	17	,	,	PUNCT
ejpam-6232	303	18	s.	s.	PROPN
ejpam-6232	303	19	e.	e.	PROPN
ejpam-6232	303	20	alhazmi	alhazmi	PROPN
ejpam-6232	303	21	,	,	PUNCT
ejpam-6232	303	22	and	and	CCONJ
ejpam-6232	303	23	s.	s.	PROPN
ejpam-6232	303	24	al	al	PROPN
ejpam-6232	303	25	-	-	PUNCT
ejpam-6232	303	26	omari	omari	PROPN
ejpam-6232	303	27	.	.	PUNCT
ejpam-6232	304	1	approximate	approximate	ADJ
ejpam-6232	304	2	analytic	analytic	ADJ
ejpam-6232	304	3	–	–	PUNCT
ejpam-6232	304	4	numeric	numeric	ADJ
ejpam-6232	304	5	fuzzy	fuzzy	ADJ
ejpam-6232	304	6	solutions	solution	NOUN
ejpam-6232	304	7	of	of	ADP
ejpam-6232	304	8	fuzzy	fuzzy	ADJ
ejpam-6232	304	9	fractional	fractional	ADJ
ejpam-6232	304	10	equations	equation	NOUN
ejpam-6232	304	11	using	use	VERB
ejpam-6232	304	12	a	a	DET
ejpam-6232	304	13	residual	residual	ADJ
ejpam-6232	304	14	power	power	NOUN
ejpam-6232	304	15	series	series	NOUN
ejpam-6232	304	16	approach	approach	NOUN
ejpam-6232	304	17	.	.	PUNCT
ejpam-6232	305	1	symmetry	symmetry	NOUN
ejpam-6232	305	2	,	,	PUNCT
ejpam-6232	305	3	14(4):804	14(4):804	NOUN
ejpam-6232	305	4	,	,	PUNCT
ejpam-6232	305	5	2022	2022	NUM
ejpam-6232	305	6	.	.	PUNCT
ejpam-6232	306	1	[	[	X
ejpam-6232	306	2	9	9	NUM
ejpam-6232	306	3	]	]	PUNCT
ejpam-6232	306	4	a.	a.	NOUN
ejpam-6232	306	5	u.	u.	PROPN
ejpam-6232	306	6	m.	m.	PROPN
ejpam-6232	306	7	j.	j.	PROPN
ejpam-6232	306	8	s.	s.	PROPN
ejpam-6232	306	9	alkouri	alkouri	PROPN
ejpam-6232	306	10	and	and	CCONJ
ejpam-6232	306	11	z.	z.	PROPN
ejpam-6232	306	12	a.	a.	PROPN
ejpam-6232	306	13	alshboul	alshboul	PROPN
ejpam-6232	306	14	.	.	PUNCT
ejpam-6232	307	1	environmental	environmental	ADJ
ejpam-6232	307	2	impact	impact	NOUN
ejpam-6232	307	3	assessment	assessment	NOUN
ejpam-6232	307	4	using	use	VERB
ejpam-6232	307	5	bipolar	bipolar	ADJ
ejpam-6232	307	6	complex	complex	ADJ
ejpam-6232	307	7	intuitionistic	intuitionistic	ADJ
ejpam-6232	307	8	fuzzy	fuzzy	ADJ
ejpam-6232	307	9	sets	set	NOUN
ejpam-6232	307	10	.	.	PUNCT
ejpam-6232	308	1	soft	soft	ADJ
ejpam-6232	308	2	computing	computing	NOUN
ejpam-6232	308	3	,	,	PUNCT
ejpam-6232	308	4	29:3795–3809	29:3795–3809	NUM
ejpam-6232	308	5	,	,	PUNCT
ejpam-6232	308	6	2025	2025	NUM
ejpam-6232	308	7	.	.	PUNCT
ejpam-6232	309	1	a.	a.	PROPN
ejpam-6232	309	2	u.	u.	PROPN
ejpam-6232	309	3	alkouri	alkouri	PROPN
ejpam-6232	309	4	et	et	PROPN
ejpam-6232	309	5	al	al	PROPN
ejpam-6232	309	6	.	.	PUNCT
ejpam-6232	309	7	/	/	SYM
ejpam-6232	309	8	eur	eur	PROPN
ejpam-6232	309	9	.	.	PUNCT
ejpam-6232	310	1	j.	j.	PROPN
ejpam-6232	310	2	pure	pure	PROPN
ejpam-6232	310	3	appl	appl	PROPN
ejpam-6232	310	4	.	.	PROPN
ejpam-6232	310	5	math	math	PROPN
ejpam-6232	310	6	,	,	PUNCT
ejpam-6232	310	7	18	18	NUM
ejpam-6232	310	8	(	(	PUNCT
ejpam-6232	310	9	3	3	NUM
ejpam-6232	310	10	)	)	PUNCT
ejpam-6232	310	11	(	(	PUNCT
ejpam-6232	310	12	2025	2025	NUM
ejpam-6232	310	13	)	)	PUNCT
ejpam-6232	310	14	,	,	PUNCT
ejpam-6232	310	15	6232	6232	NUM
ejpam-6232	310	16	14	14	NUM
ejpam-6232	310	17	of	of	ADP
ejpam-6232	310	18	15	15	NUM
ejpam-6232	310	19	[	[	SYM
ejpam-6232	310	20	10	10	NUM
ejpam-6232	310	21	]	]	X
ejpam-6232	310	22	n.	n.	PROPN
ejpam-6232	310	23	b.	b.	PROPN
ejpam-6232	310	24	a.	a.	PROPN
ejpam-6232	310	25	al	al	PROPN
ejpam-6232	310	26	-	-	PUNCT
ejpam-6232	310	27	rahman	rahman	PROPN
ejpam-6232	310	28	,	,	PUNCT
ejpam-6232	310	29	a.	a.	PROPN
ejpam-6232	310	30	al	al	PROPN
ejpam-6232	310	31	-	-	PROPN
ejpam-6232	310	32	masarwah	masarwah	PROPN
ejpam-6232	310	33	,	,	PUNCT
ejpam-6232	310	34	and	and	CCONJ
ejpam-6232	310	35	a.	a.	PROPN
ejpam-6232	310	36	u.	u.	PROPN
ejpam-6232	310	37	alkouri	alkouri	PROPN
ejpam-6232	310	38	.	.	PUNCT
ejpam-6232	311	1	algebraic	algebraic	ADJ
ejpam-6232	311	2	aspects	aspect	NOUN
ejpam-6232	311	3	of	of	ADP
ejpam-6232	311	4	crossing	cross	VERB
ejpam-6232	311	5	cubic	cubic	ADJ
ejpam-6232	311	6	be	be	NOUN
ejpam-6232	311	7	-	-	PUNCT
ejpam-6232	311	8	algebras	algebras	X
ejpam-6232	311	9	.	.	PUNCT
ejpam-6232	311	10	fuzzy	fuzzy	ADJ
ejpam-6232	311	11	information	information	NOUN
ejpam-6232	311	12	and	and	CCONJ
ejpam-6232	311	13	engineering	engineering	NOUN
ejpam-6232	311	14	,	,	PUNCT
ejpam-6232	311	15	17(1):20–38	17(1):20–38	NUM
ejpam-6232	311	16	,	,	PUNCT
ejpam-6232	311	17	march	march	PROPN
ejpam-6232	311	18	2025	2025	NUM
ejpam-6232	311	19	.	.	PUNCT
ejpam-6232	312	1	[	[	X
ejpam-6232	312	2	11	11	NUM
ejpam-6232	312	3	]	]	PUNCT
ejpam-6232	312	4	r.	r.	PROPN
ejpam-6232	312	5	hatamleh	hatamleh	PROPN
ejpam-6232	312	6	.	.	PUNCT
ejpam-6232	313	1	finding	find	VERB
ejpam-6232	313	2	minimal	minimal	ADJ
ejpam-6232	313	3	units	unit	NOUN
ejpam-6232	313	4	in	in	ADP
ejpam-6232	313	5	several	several	ADJ
ejpam-6232	313	6	two	two	NUM
ejpam-6232	313	7	-	-	PUNCT
ejpam-6232	313	8	fold	fold	ADJ
ejpam-6232	313	9	fuzzy	fuzzy	ADJ
ejpam-6232	313	10	finite	finite	PROPN
ejpam-6232	313	11	neutrosophic	neutrosophic	ADJ
ejpam-6232	313	12	rings	ring	NOUN
ejpam-6232	313	13	.	.	PUNCT
ejpam-6232	314	1	neutrosophic	neutrosophic	ADJ
ejpam-6232	314	2	sets	set	NOUN
ejpam-6232	314	3	and	and	CCONJ
ejpam-6232	314	4	systems	system	NOUN
ejpam-6232	314	5	,	,	PUNCT
ejpam-6232	314	6	70:1–16	70:1–16	NOUN
ejpam-6232	314	7	,	,	PUNCT
ejpam-6232	314	8	2024	2024	NUM
ejpam-6232	314	9	.	.	PUNCT
ejpam-6232	315	1	[	[	X
ejpam-6232	315	2	12	12	NUM
ejpam-6232	315	3	]	]	PUNCT
ejpam-6232	315	4	r.	r.	PROPN
ejpam-6232	315	5	hatamleh	hatamleh	PROPN
ejpam-6232	315	6	and	and	CCONJ
ejpam-6232	315	7	a.	a.	NOUN
ejpam-6232	315	8	hazaymeh	hazaymeh	NOUN
ejpam-6232	315	9	.	.	PUNCT
ejpam-6232	316	1	the	the	DET
ejpam-6232	316	2	properties	property	NOUN
ejpam-6232	316	3	of	of	ADP
ejpam-6232	316	4	two	two	NUM
ejpam-6232	316	5	-	-	PUNCT
ejpam-6232	316	6	fold	fold	ADJ
ejpam-6232	316	7	algebra	algebra	NOUN
ejpam-6232	316	8	based	base	VERB
ejpam-6232	316	9	on	on	ADP
ejpam-6232	316	10	the	the	DET
ejpam-6232	316	11	n	n	CCONJ
ejpam-6232	316	12	-	-	PUNCT
ejpam-6232	316	13	standard	standard	ADJ
ejpam-6232	316	14	fuzzy	fuzzy	ADJ
ejpam-6232	316	15	number	number	NOUN
ejpam-6232	316	16	theoretical	theoretical	ADJ
ejpam-6232	316	17	system	system	NOUN
ejpam-6232	316	18	.	.	PUNCT
ejpam-6232	317	1	international	international	ADJ
ejpam-6232	317	2	journal	journal	PROPN
ejpam-6232	317	3	of	of	ADP
ejpam-6232	317	4	neutrosophic	neutrosophic	ADJ
ejpam-6232	317	5	science	science	NOUN
ejpam-6232	317	6	,	,	PUNCT
ejpam-6232	317	7	25(1):172–172	25(1):172–172	NUM
ejpam-6232	317	8	,	,	PUNCT
ejpam-6232	317	9	2025	2025	NUM
ejpam-6232	317	10	.	.	PUNCT
ejpam-6232	318	1	[	[	X
ejpam-6232	318	2	13	13	NUM
ejpam-6232	318	3	]	]	PUNCT
ejpam-6232	318	4	a.	a.	NOUN
ejpam-6232	318	5	a.	a.	NOUN
ejpam-6232	318	6	hazaymeh	hazaymeh	NOUN
ejpam-6232	318	7	and	and	CCONJ
ejpam-6232	318	8	a.	a.	PROPN
ejpam-6232	318	9	bataihah	bataihah	PROPN
ejpam-6232	318	10	.	.	PUNCT
ejpam-6232	319	1	neutrosophic	neutrosophic	ADJ
ejpam-6232	319	2	fuzzy	fuzzy	ADJ
ejpam-6232	319	3	metric	metric	ADJ
ejpam-6232	319	4	spaces	space	NOUN
ejpam-6232	319	5	and	and	CCONJ
ejpam-6232	319	6	fixed	fix	VERB
ejpam-6232	319	7	points	point	NOUN
ejpam-6232	319	8	for	for	ADP
ejpam-6232	319	9	contractions	contraction	NOUN
ejpam-6232	319	10	of	of	ADP
ejpam-6232	319	11	nonlinear	nonlinear	ADJ
ejpam-6232	319	12	type	type	NOUN
ejpam-6232	319	13	.	.	PUNCT
ejpam-6232	320	1	neutrosophic	neutrosophic	ADJ
ejpam-6232	320	2	sets	set	NOUN
ejpam-6232	320	3	and	and	CCONJ
ejpam-6232	320	4	systems	system	NOUN
ejpam-6232	320	5	,	,	PUNCT
ejpam-6232	320	6	77	77	NUM
ejpam-6232	320	7	,	,	PUNCT
ejpam-6232	320	8	2024	2024	NUM
ejpam-6232	320	9	.	.	PUNCT
ejpam-6232	321	1	[	[	X
ejpam-6232	321	2	14	14	NUM
ejpam-6232	321	3	]	]	PUNCT
ejpam-6232	321	4	a.	a.	NOUN
ejpam-6232	321	5	bataihah	bataihah	PROPN
ejpam-6232	321	6	and	and	CCONJ
ejpam-6232	321	7	a.	a.	NOUN
ejpam-6232	321	8	a.	a.	NOUN
ejpam-6232	321	9	hazaymeh	hazaymeh	NOUN
ejpam-6232	321	10	.	.	PUNCT
ejpam-6232	322	1	neutrosophic	neutrosophic	ADJ
ejpam-6232	322	2	fuzzy	fuzzy	ADJ
ejpam-6232	322	3	metric	metric	ADJ
ejpam-6232	322	4	spaces	space	NOUN
ejpam-6232	322	5	and	and	CCONJ
ejpam-6232	322	6	fixed	fix	VERB
ejpam-6232	322	7	points	point	NOUN
ejpam-6232	322	8	results	result	NOUN
ejpam-6232	322	9	with	with	ADP
ejpam-6232	322	10	integral	integral	ADJ
ejpam-6232	322	11	contraction	contraction	NOUN
ejpam-6232	322	12	type	type	NOUN
ejpam-6232	322	13	.	.	PUNCT
ejpam-6232	323	1	international	international	ADJ
ejpam-6232	323	2	journal	journal	PROPN
ejpam-6232	323	3	of	of	ADP
ejpam-6232	323	4	neutrosophic	neutrosophic	ADJ
ejpam-6232	323	5	science	science	NOUN
ejpam-6232	323	6	,	,	PUNCT
ejpam-6232	323	7	25(3):561–572	25(3):561–572	PROPN
ejpam-6232	323	8	,	,	PUNCT
ejpam-6232	323	9	2025	2025	NUM
ejpam-6232	323	10	.	.	PUNCT
ejpam-6232	324	1	[	[	X
ejpam-6232	324	2	15	15	NUM
ejpam-6232	324	3	]	]	X
ejpam-6232	324	4	anwar	anwar	PROPN
ejpam-6232	324	5	bataihah	bataihah	PROPN
ejpam-6232	324	6	and	and	CCONJ
ejpam-6232	324	7	ayman	ayman	PROPN
ejpam-6232	324	8	hazaymeh	hazaymeh	NOUN
ejpam-6232	324	9	.	.	PUNCT
ejpam-6232	325	1	quasi	quasi	NOUN
ejpam-6232	325	2	contractions	contraction	NOUN
ejpam-6232	325	3	and	and	CCONJ
ejpam-6232	325	4	fixed	fix	VERB
ejpam-6232	325	5	point	point	NOUN
ejpam-6232	325	6	theorems	theorem	NOUN
ejpam-6232	325	7	in	in	ADP
ejpam-6232	325	8	the	the	DET
ejpam-6232	325	9	context	context	NOUN
ejpam-6232	325	10	of	of	ADP
ejpam-6232	325	11	neutrosophic	neutrosophic	ADJ
ejpam-6232	325	12	fuzzy	fuzzy	ADJ
ejpam-6232	325	13	metric	metric	ADJ
ejpam-6232	325	14	spaces	space	NOUN
ejpam-6232	325	15	.	.	PUNCT
ejpam-6232	326	1	european	european	ADJ
ejpam-6232	326	2	journal	journal	PROPN
ejpam-6232	326	3	of	of	ADP
ejpam-6232	326	4	pure	pure	ADJ
ejpam-6232	326	5	and	and	CCONJ
ejpam-6232	326	6	applied	applied	ADJ
ejpam-6232	326	7	mathematics	mathematic	NOUN
ejpam-6232	326	8	,	,	PUNCT
ejpam-6232	326	9	18(1	18(1	NUM
ejpam-6232	326	10	)	)	PUNCT
ejpam-6232	326	11	,	,	PUNCT
ejpam-6232	326	12	2025	2025	NUM
ejpam-6232	326	13	.	.	PUNCT
ejpam-6232	326	14	cited	cite	VERB
ejpam-6232	326	15	by	by	ADP
ejpam-6232	326	16	:	:	PUNCT
ejpam-6232	326	17	9	9	NUM
ejpam-6232	326	18	;	;	PUNCT
ejpam-6232	326	19	all	all	DET
ejpam-6232	326	20	open	open	ADJ
ejpam-6232	326	21	access	access	NOUN
ejpam-6232	326	22	,	,	PUNCT
ejpam-6232	326	23	gold	gold	NOUN
ejpam-6232	326	24	open	open	ADJ
ejpam-6232	326	25	access	access	NOUN
ejpam-6232	326	26	.	.	PUNCT
ejpam-6232	327	1	[	[	X
ejpam-6232	327	2	16	16	NUM
ejpam-6232	327	3	]	]	PUNCT
ejpam-6232	327	4	m.	m.	NOUN
ejpam-6232	327	5	arshad	arshad	PROPN
ejpam-6232	327	6	,	,	PUNCT
ejpam-6232	327	7	s.	s.	PROPN
ejpam-6232	327	8	khan	khan	PROPN
ejpam-6232	327	9	,	,	PUNCT
ejpam-6232	327	10	h.	h.	PROPN
ejpam-6232	327	11	khan	khan	PROPN
ejpam-6232	327	12	,	,	PUNCT
ejpam-6232	327	13	et	et	PROPN
ejpam-6232	327	14	al	al	PROPN
ejpam-6232	327	15	.	.	PUNCT
ejpam-6232	327	16	fractional	fractional	ADJ
ejpam-6232	327	17	analysis	analysis	NOUN
ejpam-6232	327	18	of	of	ADP
ejpam-6232	327	19	non	non	ADJ
ejpam-6232	327	20	-	-	ADJ
ejpam-6232	327	21	linear	linear	ADJ
ejpam-6232	327	22	fuzzy	fuzzy	ADJ
ejpam-6232	327	23	partial	partial	ADJ
ejpam-6232	327	24	differential	differential	NOUN
ejpam-6232	327	25	equations	equation	NOUN
ejpam-6232	327	26	by	by	ADP
ejpam-6232	327	27	using	use	VERB
ejpam-6232	327	28	a	a	DET
ejpam-6232	327	29	direct	direct	ADJ
ejpam-6232	327	30	procedure	procedure	NOUN
ejpam-6232	327	31	.	.	PUNCT
ejpam-6232	328	1	scientific	scientific	ADJ
ejpam-6232	328	2	reports	report	NOUN
ejpam-6232	328	3	,	,	PUNCT
ejpam-6232	328	4	14:9627	14:9627	NUM
ejpam-6232	328	5	,	,	PUNCT
ejpam-6232	328	6	2024	2024	NUM
ejpam-6232	328	7	.	.	PUNCT
ejpam-6232	329	1	[	[	X
ejpam-6232	329	2	17	17	NUM
ejpam-6232	329	3	]	]	PUNCT
ejpam-6232	329	4	m.	m.	NOUN
ejpam-6232	329	5	rahaman	rahaman	NOUN
ejpam-6232	329	6	,	,	PUNCT
ejpam-6232	329	7	s.	s.	PROPN
ejpam-6232	329	8	alam	alam	PROPN
ejpam-6232	329	9	,	,	PUNCT
ejpam-6232	329	10	a.	a.	NOUN
ejpam-6232	329	11	alamin	alamin	PROPN
ejpam-6232	329	12	,	,	PUNCT
ejpam-6232	329	13	s.	s.	PROPN
ejpam-6232	329	14	p.	p.	PROPN
ejpam-6232	329	15	mondal	mondal	PROPN
ejpam-6232	329	16	,	,	PUNCT
ejpam-6232	329	17	and	and	CCONJ
ejpam-6232	329	18	p.	p.	PROPN
ejpam-6232	329	19	singh	singh	PROPN
ejpam-6232	329	20	.	.	PUNCT
ejpam-6232	330	1	an	an	DET
ejpam-6232	330	2	application	application	NOUN
ejpam-6232	330	3	of	of	ADP
ejpam-6232	330	4	intuitionistic	intuitionistic	ADJ
ejpam-6232	330	5	fuzzy	fuzzy	ADJ
ejpam-6232	330	6	differential	differential	ADJ
ejpam-6232	330	7	equation	equation	NOUN
ejpam-6232	330	8	to	to	ADP
ejpam-6232	330	9	the	the	DET
ejpam-6232	330	10	inventory	inventory	NOUN
ejpam-6232	330	11	model	model	NOUN
ejpam-6232	330	12	.	.	PUNCT
ejpam-6232	331	1	in	in	ADP
ejpam-6232	331	2	c.	c.	PROPN
ejpam-6232	331	3	jana	jana	PROPN
ejpam-6232	331	4	,	,	PUNCT
ejpam-6232	331	5	m.	m.	NOUN
ejpam-6232	331	6	pal	pal	NOUN
ejpam-6232	331	7	,	,	PUNCT
ejpam-6232	331	8	g.	g.	PROPN
ejpam-6232	331	9	muhiuddin	muhiuddin	PROPN
ejpam-6232	331	10	,	,	PUNCT
ejpam-6232	331	11	and	and	CCONJ
ejpam-6232	331	12	p.	p.	PROPN
ejpam-6232	331	13	liu	liu	PROPN
ejpam-6232	331	14	,	,	PUNCT
ejpam-6232	331	15	editors	editor	NOUN
ejpam-6232	331	16	,	,	PUNCT
ejpam-6232	331	17	fuzzy	fuzzy	ADJ
ejpam-6232	331	18	optimization	optimization	NOUN
ejpam-6232	331	19	,	,	PUNCT
ejpam-6232	331	20	decision	decision	NOUN
ejpam-6232	331	21	-	-	PUNCT
ejpam-6232	331	22	making	make	VERB
ejpam-6232	331	23	and	and	CCONJ
ejpam-6232	331	24	operations	operation	NOUN
ejpam-6232	331	25	research	research	NOUN
ejpam-6232	331	26	.	.	PUNCT
ejpam-6232	332	1	springer	springer	NOUN
ejpam-6232	332	2	,	,	PUNCT
ejpam-6232	332	3	cham	cham	PROPN
ejpam-6232	332	4	,	,	PUNCT
ejpam-6232	332	5	2023	2023	NUM
ejpam-6232	332	6	.	.	PUNCT
ejpam-6232	333	1	[	[	X
ejpam-6232	333	2	18	18	NUM
ejpam-6232	333	3	]	]	PUNCT
ejpam-6232	333	4	j.	j.	PROPN
ejpam-6232	333	5	j.	j.	PROPN
ejpam-6232	333	6	buckley	buckley	PROPN
ejpam-6232	333	7	.	.	PUNCT
ejpam-6232	334	1	fuzzy	fuzzy	ADJ
ejpam-6232	334	2	complex	complex	ADJ
ejpam-6232	334	3	numbers	number	NOUN
ejpam-6232	334	4	.	.	PUNCT
ejpam-6232	335	1	in	in	ADP
ejpam-6232	335	2	proc	proc	PROPN
ejpam-6232	335	3	.	.	PUNCT
ejpam-6232	336	1	isfk	isfk	NOUN
ejpam-6232	336	2	,	,	PUNCT
ejpam-6232	336	3	pages	page	NOUN
ejpam-6232	336	4	597–700	597–700	NUM
ejpam-6232	336	5	,	,	PUNCT
ejpam-6232	336	6	guangzhou	guangzhou	PROPN
ejpam-6232	336	7	,	,	PUNCT
ejpam-6232	336	8	1987	1987	NUM
ejpam-6232	336	9	.	.	PUNCT
ejpam-6232	337	1	[	[	X
ejpam-6232	337	2	19	19	NUM
ejpam-6232	337	3	]	]	X
ejpam-6232	337	4	j.	j.	PROPN
ejpam-6232	337	5	j.	j.	PROPN
ejpam-6232	337	6	buckley	buckley	PROPN
ejpam-6232	337	7	.	.	PUNCT
ejpam-6232	338	1	fuzzy	fuzzy	ADJ
ejpam-6232	338	2	complex	complex	ADJ
ejpam-6232	338	3	numbers	number	NOUN
ejpam-6232	338	4	.	.	PUNCT
ejpam-6232	339	1	fuzzy	fuzzy	ADJ
ejpam-6232	339	2	sets	set	NOUN
ejpam-6232	339	3	and	and	CCONJ
ejpam-6232	339	4	systems	system	NOUN
ejpam-6232	339	5	,	,	PUNCT
ejpam-6232	339	6	33(3):333–345	33(3):333–345	NUM
ejpam-6232	339	7	,	,	PUNCT
ejpam-6232	339	8	1989	1989	NUM
ejpam-6232	339	9	.	.	PUNCT
ejpam-6232	340	1	[	[	X
ejpam-6232	340	2	20	20	NUM
ejpam-6232	340	3	]	]	PUNCT
ejpam-6232	340	4	j.	j.	PROPN
ejpam-6232	340	5	j.	j.	PROPN
ejpam-6232	340	6	buckley	buckley	PROPN
ejpam-6232	340	7	and	and	CCONJ
ejpam-6232	340	8	y.	y.	PROPN
ejpam-6232	340	9	qu	qu	PROPN
ejpam-6232	340	10	.	.	PROPN
ejpam-6232	340	11	fuzzy	fuzzy	ADJ
ejpam-6232	340	12	complex	complex	ADJ
ejpam-6232	340	13	analysis	analysis	NOUN
ejpam-6232	340	14	i	i	PRON
ejpam-6232	340	15	:	:	PUNCT
ejpam-6232	340	16	differentiation	differentiation	NOUN
ejpam-6232	340	17	.	.	PUNCT
ejpam-6232	341	1	fuzzy	fuzzy	ADJ
ejpam-6232	341	2	sets	set	NOUN
ejpam-6232	341	3	and	and	CCONJ
ejpam-6232	341	4	systems	system	NOUN
ejpam-6232	341	5	,	,	PUNCT
ejpam-6232	341	6	41(3):269–284	41(3):269–284	NOUN
ejpam-6232	341	7	,	,	PUNCT
ejpam-6232	341	8	1991	1991	NUM
ejpam-6232	341	9	.	.	PUNCT
ejpam-6232	342	1	[	[	X
ejpam-6232	342	2	21	21	NUM
ejpam-6232	342	3	]	]	PUNCT
ejpam-6232	342	4	j.	j.	PROPN
ejpam-6232	342	5	j.	j.	PROPN
ejpam-6232	342	6	buckley	buckley	PROPN
ejpam-6232	342	7	.	.	PUNCT
ejpam-6232	343	1	fuzzy	fuzzy	ADJ
ejpam-6232	343	2	complex	complex	ADJ
ejpam-6232	343	3	analysis	analysis	NOUN
ejpam-6232	343	4	ii	ii	NOUN
ejpam-6232	343	5	:	:	PUNCT
ejpam-6232	343	6	integration	integration	NOUN
ejpam-6232	343	7	.	.	PUNCT
ejpam-6232	344	1	fuzzy	fuzzy	ADJ
ejpam-6232	344	2	sets	set	NOUN
ejpam-6232	344	3	and	and	CCONJ
ejpam-6232	344	4	systems	system	NOUN
ejpam-6232	344	5	,	,	PUNCT
ejpam-6232	344	6	49(2):171–179	49(2):171–179	PROPN
ejpam-6232	344	7	,	,	PUNCT
ejpam-6232	344	8	1992	1992	NUM
ejpam-6232	344	9	.	.	PUNCT
ejpam-6232	345	1	[	[	X
ejpam-6232	345	2	22	22	NUM
ejpam-6232	345	3	]	]	X
ejpam-6232	345	4	y.	y.	PROPN
ejpam-6232	345	5	al	al	PROPN
ejpam-6232	345	6	-	-	PUNCT
ejpam-6232	345	7	qudah	qudah	PROPN
ejpam-6232	345	8	and	and	CCONJ
ejpam-6232	345	9	n.	n.	PROPN
ejpam-6232	345	10	hassan	hassan	PROPN
ejpam-6232	345	11	.	.	PUNCT
ejpam-6232	346	1	operations	operation	NOUN
ejpam-6232	346	2	on	on	ADP
ejpam-6232	346	3	complex	complex	ADJ
ejpam-6232	346	4	multi	multi	ADJ
ejpam-6232	346	5	-	-	ADJ
ejpam-6232	346	6	fuzzy	fuzzy	ADJ
ejpam-6232	346	7	sets	set	NOUN
ejpam-6232	346	8	.	.	PUNCT
ejpam-6232	347	1	journal	journal	NOUN
ejpam-6232	347	2	of	of	ADP
ejpam-6232	347	3	intelligent	intelligent	ADJ
ejpam-6232	347	4	&	&	CCONJ
ejpam-6232	347	5	fuzzy	fuzzy	ADJ
ejpam-6232	347	6	systems	system	NOUN
ejpam-6232	347	7	,	,	PUNCT
ejpam-6232	347	8	33(3):1527–1540	33(3):1527–1540	NUM
ejpam-6232	347	9	,	,	PUNCT
ejpam-6232	347	10	2017	2017	NUM
ejpam-6232	347	11	.	.	PUNCT
ejpam-6232	348	1	[	[	X
ejpam-6232	348	2	23	23	NUM
ejpam-6232	348	3	]	]	X
ejpam-6232	348	4	y.	y.	PROPN
ejpam-6232	348	5	al	al	PROPN
ejpam-6232	348	6	-	-	PUNCT
ejpam-6232	348	7	qudah	qudah	PROPN
ejpam-6232	348	8	and	and	CCONJ
ejpam-6232	348	9	n.	n.	PROPN
ejpam-6232	348	10	hassan	hassan	PROPN
ejpam-6232	348	11	.	.	PUNCT
ejpam-6232	349	1	complex	complex	ADJ
ejpam-6232	349	2	multi	multi	ADJ
ejpam-6232	349	3	-	-	ADJ
ejpam-6232	349	4	fuzzy	fuzzy	ADJ
ejpam-6232	349	5	soft	soft	ADJ
ejpam-6232	349	6	set	set	NOUN
ejpam-6232	349	7	:	:	PUNCT
ejpam-6232	349	8	its	its	PRON
ejpam-6232	349	9	entropy	entropy	NOUN
ejpam-6232	349	10	and	and	CCONJ
ejpam-6232	349	11	similarity	similarity	NOUN
ejpam-6232	349	12	measure	measure	NOUN
ejpam-6232	349	13	.	.	PUNCT
ejpam-6232	350	1	ieee	ieee	NOUN
ejpam-6232	350	2	access	access	NOUN
ejpam-6232	350	3	,	,	PUNCT
ejpam-6232	350	4	6:65002–65017	6:65002–65017	NUM
ejpam-6232	350	5	,	,	PUNCT
ejpam-6232	350	6	2018	2018	NUM
ejpam-6232	350	7	.	.	PUNCT
ejpam-6232	351	1	[	[	X
ejpam-6232	351	2	24	24	NUM
ejpam-6232	351	3	]	]	X
ejpam-6232	351	4	o.	o.	NOUN
ejpam-6232	351	5	yazdanbakhsh	yazdanbakhsh	PROPN
ejpam-6232	351	6	and	and	CCONJ
ejpam-6232	351	7	s.	s.	PROPN
ejpam-6232	351	8	dick	dick	PROPN
ejpam-6232	351	9	.	.	PUNCT
ejpam-6232	352	1	a	a	DET
ejpam-6232	352	2	systematic	systematic	ADJ
ejpam-6232	352	3	review	review	NOUN
ejpam-6232	352	4	of	of	ADP
ejpam-6232	352	5	complex	complex	ADJ
ejpam-6232	352	6	fuzzy	fuzzy	ADJ
ejpam-6232	352	7	sets	set	NOUN
ejpam-6232	352	8	and	and	CCONJ
ejpam-6232	352	9	logic	logic	NOUN
ejpam-6232	352	10	.	.	PUNCT
ejpam-6232	353	1	fuzzy	fuzzy	ADJ
ejpam-6232	353	2	sets	set	NOUN
ejpam-6232	353	3	and	and	CCONJ
ejpam-6232	353	4	systems	system	NOUN
ejpam-6232	353	5	,	,	PUNCT
ejpam-6232	353	6	338:1–22	338:1–22	NUM
ejpam-6232	353	7	,	,	PUNCT
ejpam-6232	353	8	2018	2018	NUM
ejpam-6232	353	9	.	.	PUNCT
ejpam-6232	354	1	[	[	X
ejpam-6232	354	2	25	25	NUM
ejpam-6232	354	3	]	]	X
ejpam-6232	354	4	h.	h.	PROPN
ejpam-6232	354	5	h.	h.	PROPN
ejpam-6232	354	6	zureigat	zureigat	PROPN
ejpam-6232	354	7	and	and	CCONJ
ejpam-6232	354	8	a.	a.	NOUN
ejpam-6232	354	9	i.	i.	PROPN
ejpam-6232	354	10	m.	m.	PROPN
ejpam-6232	354	11	ismail	ismail	PROPN
ejpam-6232	354	12	.	.	PUNCT
ejpam-6232	355	1	numerical	numerical	ADJ
ejpam-6232	355	2	solution	solution	NOUN
ejpam-6232	355	3	of	of	ADP
ejpam-6232	355	4	fuzzy	fuzzy	ADJ
ejpam-6232	355	5	heat	heat	NOUN
ejpam-6232	355	6	equation	equation	NOUN
ejpam-6232	355	7	with	with	ADP
ejpam-6232	355	8	two	two	NUM
ejpam-6232	355	9	different	different	ADJ
ejpam-6232	355	10	fuzzifications	fuzzification	NOUN
ejpam-6232	355	11	.	.	PUNCT
ejpam-6232	356	1	in	in	ADP
ejpam-6232	356	2	2016	2016	NUM
ejpam-6232	356	3	sai	sai	PROPN
ejpam-6232	356	4	computing	computing	PROPN
ejpam-6232	356	5	conference	conference	NOUN
ejpam-6232	356	6	(	(	PUNCT
ejpam-6232	356	7	sai	sai	NOUN
ejpam-6232	356	8	)	)	PUNCT
ejpam-6232	356	9	,	,	PUNCT
ejpam-6232	356	10	pages	page	NOUN
ejpam-6232	356	11	85–90	85–90	NUM
ejpam-6232	356	12	.	.	PUNCT
ejpam-6232	357	1	ieee	ieee	NOUN
ejpam-6232	357	2	,	,	PUNCT
ejpam-6232	357	3	2016	2016	NUM
ejpam-6232	357	4	.	.	PUNCT
ejpam-6232	358	1	[	[	X
ejpam-6232	358	2	26	26	NUM
ejpam-6232	358	3	]	]	X
ejpam-6232	358	4	d.	d.	PROPN
ejpam-6232	358	5	ramot	ramot	PROPN
ejpam-6232	358	6	,	,	PUNCT
ejpam-6232	358	7	r.	r.	PROPN
ejpam-6232	358	8	milo	milo	PROPN
ejpam-6232	358	9	,	,	PUNCT
ejpam-6232	358	10	m.	m.	NOUN
ejpam-6232	358	11	friedman	friedman	PROPN
ejpam-6232	358	12	,	,	PUNCT
ejpam-6232	358	13	and	and	CCONJ
ejpam-6232	358	14	a.	a.	NOUN
ejpam-6232	358	15	kandel	kandel	PROPN
ejpam-6232	358	16	.	.	PUNCT
ejpam-6232	359	1	complex	complex	ADJ
ejpam-6232	359	2	fuzzy	fuzzy	ADJ
ejpam-6232	359	3	sets	set	NOUN
ejpam-6232	359	4	.	.	PUNCT
ejpam-6232	360	1	ieee	ieee	NOUN
ejpam-6232	360	2	transactions	transaction	NOUN
ejpam-6232	360	3	on	on	ADP
ejpam-6232	360	4	fuzzy	fuzzy	ADJ
ejpam-6232	360	5	systems	system	NOUN
ejpam-6232	360	6	,	,	PUNCT
ejpam-6232	360	7	10(2):171–186	10(2):171–186	NUM
ejpam-6232	360	8	,	,	PUNCT
ejpam-6232	360	9	2002	2002	NUM
ejpam-6232	360	10	.	.	PUNCT
ejpam-6232	361	1	[	[	X
ejpam-6232	361	2	27	27	NUM
ejpam-6232	361	3	]	]	PUNCT
ejpam-6232	361	4	a.	a.	NOUN
ejpam-6232	361	5	m.	m.	PROPN
ejpam-6232	361	6	d.	d.	PROPN
ejpam-6232	361	7	j.	j.	PROPN
ejpam-6232	361	8	s.	s.	PROPN
ejpam-6232	361	9	alkouri	alkouri	PROPN
ejpam-6232	361	10	and	and	CCONJ
ejpam-6232	361	11	a.	a.	PROPN
ejpam-6232	361	12	r.	r.	PROPN
ejpam-6232	361	13	salleh	salleh	PROPN
ejpam-6232	361	14	.	.	PUNCT
ejpam-6232	362	1	complex	complex	ADJ
ejpam-6232	362	2	intuitionistic	intuitionistic	ADJ
ejpam-6232	362	3	fuzzy	fuzzy	ADJ
ejpam-6232	362	4	sets	set	NOUN
ejpam-6232	362	5	.	.	PUNCT
ejpam-6232	363	1	in	in	ADP
ejpam-6232	363	2	aip	aip	PROPN
ejpam-6232	363	3	conference	conference	NOUN
ejpam-6232	363	4	proceedings	proceeding	NOUN
ejpam-6232	363	5	,	,	PUNCT
ejpam-6232	363	6	volume	volume	NOUN
ejpam-6232	363	7	1482	1482	NUM
ejpam-6232	363	8	,	,	PUNCT
ejpam-6232	363	9	pages	page	NOUN
ejpam-6232	363	10	464–470	464–470	NUM
ejpam-6232	363	11	.	.	PUNCT
ejpam-6232	364	1	american	american	PROPN
ejpam-6232	364	2	institute	institute	PROPN
ejpam-6232	364	3	of	of	ADP
ejpam-6232	364	4	physics	physics	PROPN
ejpam-6232	364	5	,	,	PUNCT
ejpam-6232	364	6	2012	2012	NUM
ejpam-6232	364	7	.	.	PUNCT
ejpam-6232	365	1	a.	a.	PROPN
ejpam-6232	365	2	u.	u.	PROPN
ejpam-6232	365	3	alkouri	alkouri	PROPN
ejpam-6232	365	4	et	et	PROPN
ejpam-6232	365	5	al	al	PROPN
ejpam-6232	365	6	.	.	PUNCT
ejpam-6232	365	7	/	/	SYM
ejpam-6232	365	8	eur	eur	PROPN
ejpam-6232	365	9	.	.	PUNCT
ejpam-6232	366	1	j.	j.	PROPN
ejpam-6232	366	2	pure	pure	PROPN
ejpam-6232	366	3	appl	appl	PROPN
ejpam-6232	366	4	.	.	PROPN
ejpam-6232	366	5	math	math	PROPN
ejpam-6232	366	6	,	,	PUNCT
ejpam-6232	366	7	18	18	NUM
ejpam-6232	366	8	(	(	PUNCT
ejpam-6232	366	9	3	3	NUM
ejpam-6232	366	10	)	)	PUNCT
ejpam-6232	366	11	(	(	PUNCT
ejpam-6232	366	12	2025	2025	NUM
ejpam-6232	366	13	)	)	PUNCT
ejpam-6232	366	14	,	,	PUNCT
ejpam-6232	366	15	6232	6232	NUM
ejpam-6232	366	16	15	15	NUM
ejpam-6232	366	17	of	of	ADP
ejpam-6232	366	18	15	15	NUM
ejpam-6232	367	1	[	[	SYM
ejpam-6232	367	2	28	28	NUM
ejpam-6232	367	3	]	]	X
ejpam-6232	367	4	p.	p.	PROPN
ejpam-6232	367	5	kakati	kakati	PROPN
ejpam-6232	367	6	,	,	PUNCT
ejpam-6232	367	7	s.	s.	PROPN
ejpam-6232	367	8	g.	g.	PROPN
ejpam-6232	367	9	quek	quek	PROPN
ejpam-6232	367	10	,	,	PUNCT
ejpam-6232	367	11	g.	g.	PROPN
ejpam-6232	367	12	selvachandran	selvachandran	PROPN
ejpam-6232	367	13	,	,	PUNCT
ejpam-6232	367	14	t.	t.	NOUN
ejpam-6232	367	15	senapati	senapati	PROPN
ejpam-6232	367	16	,	,	PUNCT
ejpam-6232	367	17	and	and	CCONJ
ejpam-6232	367	18	g.	g.	PROPN
ejpam-6232	367	19	chen	chen	PROPN
ejpam-6232	367	20	.	.	PUNCT
ejpam-6232	368	1	analysis	analysis	NOUN
ejpam-6232	368	2	and	and	CCONJ
ejpam-6232	368	3	application	application	NOUN
ejpam-6232	368	4	of	of	ADP
ejpam-6232	368	5	rectified	rectified	ADJ
ejpam-6232	368	6	complex	complex	ADJ
ejpam-6232	368	7	t	t	NOUN
ejpam-6232	368	8	-	-	PUNCT
ejpam-6232	368	9	spherical	spherical	ADJ
ejpam-6232	368	10	fuzzy	fuzzy	ADJ
ejpam-6232	368	11	dombi	dombi	NOUN
ejpam-6232	368	12	-	-	PUNCT
ejpam-6232	368	13	choquet	choquet	NOUN
ejpam-6232	368	14	integral	integral	ADJ
ejpam-6232	368	15	operators	operator	NOUN
ejpam-6232	368	16	for	for	ADP
ejpam-6232	368	17	diabetic	diabetic	ADJ
ejpam-6232	368	18	retinopathy	retinopathy	ADJ
ejpam-6232	368	19	detection	detection	NOUN
ejpam-6232	368	20	through	through	ADP
ejpam-6232	368	21	fundus	fundus	NOUN
ejpam-6232	368	22	images	image	NOUN
ejpam-6232	368	23	.	.	PUNCT
ejpam-6232	369	1	expert	expert	NOUN
ejpam-6232	369	2	systems	system	NOUN
ejpam-6232	369	3	with	with	ADP
ejpam-6232	369	4	applications	application	NOUN
ejpam-6232	369	5	,	,	PUNCT
ejpam-6232	369	6	243:122724	243:122724	NUM
ejpam-6232	369	7	,	,	PUNCT
ejpam-6232	369	8	2024	2024	NUM
ejpam-6232	369	9	.	.	PUNCT
ejpam-6232	370	1	[	[	X
ejpam-6232	370	2	29	29	NUM
ejpam-6232	370	3	]	]	X
ejpam-6232	370	4	m.	m.	NOUN
ejpam-6232	370	5	kaviyarasu	kaviyarasu	PROPN
ejpam-6232	370	6	,	,	PUNCT
ejpam-6232	370	7	m.	m.	NOUN
ejpam-6232	370	8	alqahtani	alqahtani	PROPN
ejpam-6232	370	9	,	,	PUNCT
ejpam-6232	370	10	m.	m.	NOUN
ejpam-6232	370	11	rajeshwari	rajeshwari	NOUN
ejpam-6232	370	12	,	,	PUNCT
ejpam-6232	370	13	and	and	CCONJ
ejpam-6232	370	14	g.	g.	PROPN
ejpam-6232	370	15	sudalaimuthu	sudalaimuthu	PROPN
ejpam-6232	370	16	.	.	PUNCT
ejpam-6232	371	1	complex	complex	ADJ
ejpam-6232	371	2	tintuitionistic	tintuitionistic	ADJ
ejpam-6232	371	3	fuzzy	fuzzy	ADJ
ejpam-6232	371	4	graph	graph	NOUN
ejpam-6232	371	5	with	with	ADP
ejpam-6232	371	6	applications	application	NOUN
ejpam-6232	371	7	of	of	ADP
ejpam-6232	371	8	rubber	rubber	NOUN
ejpam-6232	371	9	industrial	industrial	ADJ
ejpam-6232	371	10	water	water	NOUN
ejpam-6232	371	11	wastes	waste	NOUN
ejpam-6232	371	12	.	.	PUNCT
ejpam-6232	372	1	mathematics	mathematic	NOUN
ejpam-6232	372	2	,	,	PUNCT
ejpam-6232	372	3	12(13):1950	12(13):1950	NUM
ejpam-6232	372	4	,	,	PUNCT
ejpam-6232	372	5	2024	2024	NUM
ejpam-6232	372	6	.	.	PUNCT
ejpam-6232	373	1	[	[	X
ejpam-6232	373	2	30	30	NUM
ejpam-6232	373	3	]	]	X
ejpam-6232	373	4	m.	m.	NOUN
ejpam-6232	373	5	sarwar	sarwar	PROPN
ejpam-6232	373	6	,	,	PUNCT
ejpam-6232	373	7	m.	m.	NOUN
ejpam-6232	373	8	akram	akram	PROPN
ejpam-6232	373	9	,	,	PUNCT
ejpam-6232	373	10	and	and	CCONJ
ejpam-6232	373	11	s.	s.	PROPN
ejpam-6232	373	12	shahzadi	shahzadi	PROPN
ejpam-6232	373	13	.	.	PUNCT
ejpam-6232	374	1	distance	distance	NOUN
ejpam-6232	374	2	measures	measure	NOUN
ejpam-6232	374	3	and	and	CCONJ
ejpam-6232	374	4	δ	δ	NOUN
ejpam-6232	374	5	-	-	PUNCT
ejpam-6232	374	6	approximations	approximation	NOUN
ejpam-6232	374	7	with	with	ADP
ejpam-6232	374	8	rough	rough	ADJ
ejpam-6232	374	9	complex	complex	ADJ
ejpam-6232	374	10	fuzzy	fuzzy	ADJ
ejpam-6232	374	11	models	model	NOUN
ejpam-6232	374	12	.	.	PUNCT
ejpam-6232	375	1	granular	granular	ADJ
ejpam-6232	375	2	computing	computing	NOUN
ejpam-6232	375	3	,	,	PUNCT
ejpam-6232	375	4	8(5):893–916	8(5):893–916	NUM
ejpam-6232	375	5	,	,	PUNCT
ejpam-6232	375	6	2023	2023	NUM
ejpam-6232	375	7	.	.	PUNCT
ejpam-6232	376	1	[	[	X
ejpam-6232	376	2	31	31	NUM
ejpam-6232	376	3	]	]	X
ejpam-6232	376	4	d.	d.	PROPN
ejpam-6232	376	5	alsharo	alsharo	PROPN
ejpam-6232	376	6	,	,	PUNCT
ejpam-6232	376	7	e.	e.	PROPN
ejpam-6232	376	8	abuteen	abuteen	PROPN
ejpam-6232	376	9	,	,	PUNCT
ejpam-6232	376	10	m.	m.	PROPN
ejpam-6232	376	11	j.	j.	PROPN
ejpam-6232	376	12	s.	s.	PROPN
ejpam-6232	376	13	abd	abd	PROPN
ejpam-6232	376	14	ulazeez	ulazeez	PROPN
ejpam-6232	376	15	,	,	PUNCT
ejpam-6232	376	16	m.	m.	NOUN
ejpam-6232	376	17	alkhasawneh	alkhasawneh	NOUN
ejpam-6232	376	18	,	,	PUNCT
ejpam-6232	376	19	and	and	CCONJ
ejpam-6232	376	20	f.	f.	PROPN
ejpam-6232	376	21	m.	m.	PROPN
ejpam-6232	377	1	al	al	PROPN
ejpam-6232	377	2	-	-	PUNCT
ejpam-6232	377	3	zubi	zubi	PROPN
ejpam-6232	377	4	.	.	PUNCT
ejpam-6232	378	1	complex	complex	ADJ
ejpam-6232	378	2	shadowed	shadow	VERB
ejpam-6232	378	3	set	set	NOUN
ejpam-6232	378	4	theory	theory	NOUN
ejpam-6232	378	5	and	and	CCONJ
ejpam-6232	378	6	its	its	PRON
ejpam-6232	378	7	application	application	NOUN
ejpam-6232	378	8	in	in	ADP
ejpam-6232	378	9	decision	decision	NOUN
ejpam-6232	378	10	-	-	PUNCT
ejpam-6232	378	11	making	make	VERB
ejpam-6232	378	12	problems	problem	NOUN
ejpam-6232	378	13	.	.	PUNCT
ejpam-6232	379	1	aims	aim	VERB
ejpam-6232	379	2	mathematics	mathematic	NOUN
ejpam-6232	379	3	,	,	PUNCT
ejpam-6232	379	4	9:16810–16825	9:16810–16825	NUM
ejpam-6232	379	5	,	,	PUNCT
ejpam-6232	379	6	2024	2024	NUM
ejpam-6232	379	7	.	.	PUNCT
ejpam-6232	380	1	[	[	X
ejpam-6232	380	2	32	32	NUM
ejpam-6232	380	3	]	]	PUNCT
ejpam-6232	380	4	s.	s.	PROPN
ejpam-6232	380	5	m.	m.	PROPN
ejpam-6232	380	6	alqaraleh	alqaraleh	PROPN
ejpam-6232	380	7	,	,	PUNCT
ejpam-6232	380	8	m.	m.	PROPN
ejpam-6232	380	9	j.	j.	PROPN
ejpam-6232	380	10	s.	s.	PROPN
ejpam-6232	380	11	abd	abd	PROPN
ejpam-6232	380	12	ulazeez	ulazeez	PROPN
ejpam-6232	380	13	,	,	PUNCT
ejpam-6232	380	14	m.	m.	NOUN
ejpam-6232	380	15	o.	o.	PROPN
ejpam-6232	380	16	massa’deh	massa’deh	PROPN
ejpam-6232	380	17	,	,	PUNCT
ejpam-6232	380	18	a.	a.	NOUN
ejpam-6232	380	19	g.	g.	PROPN
ejpam-6232	380	20	talafha	talafha	PROPN
ejpam-6232	380	21	,	,	PUNCT
ejpam-6232	380	22	and	and	CCONJ
ejpam-6232	380	23	a.	a.	NOUN
ejpam-6232	380	24	bataihah	bataihah	PROPN
ejpam-6232	380	25	.	.	PUNCT
ejpam-6232	381	1	bipolar	bipolar	ADJ
ejpam-6232	381	2	complex	complex	ADJ
ejpam-6232	381	3	fuzzy	fuzzy	ADJ
ejpam-6232	381	4	soft	soft	ADJ
ejpam-6232	381	5	sets	set	NOUN
ejpam-6232	381	6	and	and	CCONJ
ejpam-6232	381	7	their	their	PRON
ejpam-6232	381	8	application	application	NOUN
ejpam-6232	381	9	.	.	PUNCT
ejpam-6232	382	1	international	international	ADJ
ejpam-6232	382	2	journal	journal	NOUN
ejpam-6232	382	3	of	of	ADP
ejpam-6232	382	4	fuzzy	fuzzy	ADJ
ejpam-6232	382	5	system	system	NOUN
ejpam-6232	382	6	applications	application	NOUN
ejpam-6232	382	7	(	(	PUNCT
ejpam-6232	382	8	ijfsa	ijfsa	NOUN
ejpam-6232	382	9	)	)	PUNCT
ejpam-6232	382	10	,	,	PUNCT
ejpam-6232	382	11	11(1):1–23	11(1):1–23	NUM
ejpam-6232	382	12	,	,	PUNCT
ejpam-6232	382	13	2022	2022	NUM
ejpam-6232	382	14	.	.	PUNCT
ejpam-6232	383	1	[	[	X
ejpam-6232	383	2	33	33	NUM
ejpam-6232	383	3	]	]	PUNCT
ejpam-6232	383	4	h.	h.	PROPN
ejpam-6232	383	5	zureigat	zureigat	PROPN
ejpam-6232	383	6	,	,	PUNCT
ejpam-6232	383	7	a.	a.	PROPN
ejpam-6232	383	8	al	al	PROPN
ejpam-6232	383	9	-	-	PUNCT
ejpam-6232	383	10	khateeb	khateeb	PROPN
ejpam-6232	383	11	,	,	PUNCT
ejpam-6232	383	12	e.	e.	PROPN
ejpam-6232	383	13	abuteen	abuteen	PROPN
ejpam-6232	383	14	,	,	PUNCT
ejpam-6232	383	15	and	and	CCONJ
ejpam-6232	383	16	s.	s.	PROPN
ejpam-6232	383	17	abu	abu	PROPN
ejpam-6232	383	18	-	-	PUNCT
ejpam-6232	383	19	ghurra	ghurra	PROPN
ejpam-6232	383	20	.	.	PUNCT
ejpam-6232	384	1	numerical	numerical	ADJ
ejpam-6232	384	2	solution	solution	NOUN
ejpam-6232	384	3	of	of	ADP
ejpam-6232	384	4	fuzzy	fuzzy	ADJ
ejpam-6232	384	5	heat	heat	NOUN
ejpam-6232	384	6	equation	equation	NOUN
ejpam-6232	384	7	with	with	ADP
ejpam-6232	384	8	complex	complex	ADJ
ejpam-6232	384	9	dirichlet	dirichlet	NOUN
ejpam-6232	384	10	conditions	condition	NOUN
ejpam-6232	384	11	.	.	PUNCT
ejpam-6232	385	1	international	international	ADJ
ejpam-6232	385	2	journal	journal	NOUN
ejpam-6232	385	3	of	of	ADP
ejpam-6232	385	4	fuzzy	fuzzy	ADJ
ejpam-6232	385	5	logic	logic	NOUN
ejpam-6232	385	6	and	and	CCONJ
ejpam-6232	385	7	intelligent	intelligent	ADJ
ejpam-6232	385	8	systems	system	NOUN
ejpam-6232	385	9	,	,	PUNCT
ejpam-6232	385	10	23(1):11–19	23(1):11–19	NUM
ejpam-6232	385	11	,	,	PUNCT
ejpam-6232	385	12	2023	2023	NUM
ejpam-6232	385	13	.	.	PUNCT
ejpam-6232	386	1	[	[	X
ejpam-6232	386	2	34	34	NUM
ejpam-6232	386	3	]	]	PUNCT
ejpam-6232	386	4	a.	a.	NOUN
ejpam-6232	386	5	m.	m.	PROPN
ejpam-6232	386	6	bertone	bertone	PROPN
ejpam-6232	386	7	,	,	PUNCT
ejpam-6232	386	8	r.	r.	PROPN
ejpam-6232	386	9	m.	m.	PROPN
ejpam-6232	386	10	jafelice	jafelice	PROPN
ejpam-6232	386	11	,	,	PUNCT
ejpam-6232	386	12	l.	l.	PROPN
ejpam-6232	386	13	c.	c.	PROPN
ejpam-6232	386	14	de	de	PROPN
ejpam-6232	386	15	barros	barros	PROPN
ejpam-6232	386	16	,	,	PUNCT
ejpam-6232	386	17	and	and	CCONJ
ejpam-6232	386	18	r.	r.	PROPN
ejpam-6232	386	19	c.	c.	PROPN
ejpam-6232	386	20	bassanezi	bassanezi	PROPN
ejpam-6232	386	21	.	.	PUNCT
ejpam-6232	387	1	on	on	ADP
ejpam-6232	387	2	fuzzy	fuzzy	ADJ
ejpam-6232	387	3	solutions	solution	NOUN
ejpam-6232	387	4	for	for	ADP
ejpam-6232	387	5	partial	partial	ADJ
ejpam-6232	387	6	differential	differential	ADJ
ejpam-6232	387	7	equations	equation	NOUN
ejpam-6232	387	8	.	.	PUNCT
ejpam-6232	388	1	fuzzy	fuzzy	ADJ
ejpam-6232	388	2	sets	set	NOUN
ejpam-6232	388	3	and	and	CCONJ
ejpam-6232	388	4	systems	system	NOUN
ejpam-6232	388	5	,	,	PUNCT
ejpam-6232	388	6	219:68–80	219:68–80	NUM
ejpam-6232	388	7	,	,	PUNCT
ejpam-6232	388	8	2013	2013	NUM
ejpam-6232	388	9	.	.	PUNCT
