id	sid	tid	token	lemma	pos
easat-4978	1	1	edelweiss	edelweiss	PROPN
easat-4978	1	2	applied	apply	VERB
easat-4978	1	3	science	science	NOUN
easat-4978	1	4	and	and	CCONJ
easat-4978	1	5	technology	technology	NOUN
easat-4978	1	6	issn	issn	PROPN
easat-4978	1	7	:	:	PUNCT
easat-4978	1	8	2576	2576	NUM
easat-4978	1	9	-	-	SYM
easat-4978	1	10	8484	8484	NUM
easat-4978	1	11	vol	vol	NOUN
easat-4978	1	12	.	.	PROPN
easat-4978	2	1	9	9	NUM
easat-4978	2	2	,	,	PUNCT
easat-4978	2	3	no	no	INTJ
easat-4978	2	4	.	.	NOUN
easat-4978	2	5	2	2	NUM
easat-4978	2	6	,	,	PUNCT
easat-4978	2	7	1923	1923	NUM
easat-4978	2	8	-	-	SYM
easat-4978	2	9	1930	1930	NUM
easat-4978	2	10	2025	2025	NUM
easat-4978	2	11	publisher	publisher	NOUN
easat-4978	2	12	:	:	PUNCT
easat-4978	2	13	learning	learn	VERB
easat-4978	2	14	gate	gate	NOUN
easat-4978	2	15	doi	doi	PROPN
easat-4978	2	16	:	:	PUNCT
easat-4978	2	17	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	2	18	©	©	ADP
easat-4978	2	19	2025	2025	NUM
easat-4978	2	20	by	by	ADP
easat-4978	2	21	the	the	DET
easat-4978	2	22	authors	author	NOUN
easat-4978	2	23	;	;	PUNCT
easat-4978	2	24	licensee	licensee	PROPN
easat-4978	2	25	learning	learning	NOUN
easat-4978	2	26	gate	gate	NOUN
easat-4978	3	1	©	©	PROPN
easat-4978	3	2	2025	2025	NUM
easat-4978	3	3	by	by	ADP
easat-4978	3	4	the	the	DET
easat-4978	3	5	authors	author	NOUN
easat-4978	3	6	;	;	PUNCT
easat-4978	3	7	licensee	licensee	PROPN
easat-4978	3	8	learning	learning	NOUN
easat-4978	3	9	gate	gate	NOUN
easat-4978	3	10	history	history	NOUN
easat-4978	3	11	:	:	PUNCT
easat-4978	3	12	received	receive	VERB
easat-4978	3	13	:	:	PUNCT
easat-4978	3	14	23	23	NUM
easat-4978	3	15	december	december	PROPN
easat-4978	3	16	2024	2024	NUM
easat-4978	3	17	;	;	PUNCT
easat-4978	3	18	revised	revise	VERB
easat-4978	3	19	:	:	PUNCT
easat-4978	3	20	29	29	NUM
easat-4978	3	21	january	january	NOUN
easat-4978	3	22	2025	2025	NUM
easat-4978	3	23	;	;	PUNCT
easat-4978	3	24	accepted	accept	VERB
easat-4978	3	25	:	:	PUNCT
easat-4978	3	26	7	7	NUM
easat-4978	3	27	february	february	NOUN
easat-4978	3	28	2025	2025	NUM
easat-4978	3	29	;	;	PUNCT
easat-4978	3	30	published	publish	VERB
easat-4978	3	31	:	:	PUNCT
easat-4978	4	1	22	22	NUM
easat-4978	4	2	february	february	NOUN
easat-4978	4	3	2025	2025	NUM
easat-4978	4	4	*	*	PUNCT
easat-4978	4	5	correspondence	correspondence	NOUN
easat-4978	4	6	:	:	PUNCT
easat-4978	5	1	bibitwaji@gmail.com	bibitwaji@gmail.com	X
easat-4978	5	2	defuzzification	defuzzification	NOUN
easat-4978	5	3	of	of	ADP
easat-4978	5	4	intuitionistic	intuitionistic	ADJ
easat-4978	5	5	fuzzy	fuzzy	ADJ
easat-4978	5	6	thermal	thermal	ADJ
easat-4978	5	7	diffusivity	diffusivity	NOUN
easat-4978	5	8	in	in	ADP
easat-4978	5	9	heat	heat	NOUN
easat-4978	5	10	equation	equation	NOUN
easat-4978	5	11	:	:	PUNCT
easat-4978	5	12	comparative	comparative	ADJ
easat-4978	5	13	analysis	analysis	NOUN
easat-4978	5	14	of	of	ADP
easat-4978	5	15	methods	method	NOUN
easat-4978	5	16	bambang	bambang	PROPN
easat-4978	5	17	irawanto1	irawanto1	PROPN
easat-4978	5	18	,	,	PUNCT
easat-4978	5	19	bibit	bibit	PROPN
easat-4978	5	20	waluyo	waluyo	NOUN
easat-4978	5	21	aji1	aji1	PROPN
easat-4978	5	22	*	*	PROPN
easat-4978	5	23	,	,	PUNCT
easat-4978	5	24	farikhin1	farikhin1	PROPN
easat-4978	5	25	,	,	PUNCT
easat-4978	5	26	bayu	bayu	PROPN
easat-4978	5	27	surarso1	surarso1	PROPN
easat-4978	5	28	,	,	PUNCT
easat-4978	5	29	yosza	yosza	NOUN
easat-4978	5	30	dasril2	dasril2	PROPN
easat-4978	5	31	,	,	PUNCT
easat-4978	5	32	hadiyanto3	hadiyanto3	PROPN
easat-4978	5	33	1department	1department	NUM
easat-4978	5	34	of	of	ADP
easat-4978	5	35	mathematics	mathematic	NOUN
easat-4978	5	36	,	,	PUNCT
easat-4978	5	37	faculty	faculty	NOUN
easat-4978	5	38	of	of	ADP
easat-4978	5	39	science	science	NOUN
easat-4978	5	40	and	and	CCONJ
easat-4978	5	41	mathematics	mathematic	NOUN
easat-4978	5	42	,	,	PUNCT
easat-4978	5	43	universitas	universita	NOUN
easat-4978	5	44	diponegoro	diponegoro	PROPN
easat-4978	5	45	,	,	PUNCT
easat-4978	5	46	indonesia	indonesia	PROPN
easat-4978	5	47	;	;	PUNCT
easat-4978	5	48	bair@lecturer.undip.ac.id	bair@lecturer.undip.ac.id	PROPN
easat-4978	5	49	(	(	PUNCT
easat-4978	5	50	b.i	b.i	PROPN
easat-4978	5	51	)	)	PUNCT
easat-4978	5	52	bibitwaji@gmail.com	bibitwaji@gmail.com	PROPN
easat-4978	6	1	(	(	PUNCT
easat-4978	6	2	b.w	b.w	PROPN
easat-4978	6	3	.	.	PROPN
easat-4978	6	4	)	)	PUNCT
easat-4978	6	5	.	.	PUNCT
easat-4978	7	1	2faculty	2faculty	NUM
easat-4978	7	2	of	of	ADP
easat-4978	7	3	technology	technology	NOUN
easat-4978	7	4	management	management	NOUN
easat-4978	7	5	and	and	CCONJ
easat-4978	7	6	business	business	NOUN
easat-4978	7	7	universiti	universiti	PROPN
easat-4978	7	8	tun	tun	PROPN
easat-4978	7	9	hussein	hussein	PROPN
easat-4978	7	10	onn	onn	PROPN
easat-4978	7	11	malaysia	malaysia	PROPN
easat-4978	7	12	.	.	PUNCT
easat-4978	8	1	3department	3department	NUM
easat-4978	8	2	of	of	ADP
easat-4978	8	3	chemical	chemical	ADJ
easat-4978	8	4	engineering	engineering	NOUN
easat-4978	8	5	,	,	PUNCT
easat-4978	8	6	faculty	faculty	NOUN
easat-4978	8	7	of	of	ADP
easat-4978	8	8	engineering	engineering	NOUN
easat-4978	8	9	,	,	PUNCT
easat-4978	8	10	universitas	universita	NOUN
easat-4978	8	11	diponegoro	diponegoro	PROPN
easat-4978	8	12	,	,	PUNCT
easat-4978	8	13	indonesia	indonesia	PROPN
easat-4978	8	14	.	.	PUNCT
easat-4978	9	1	abstract	abstract	PROPN
easat-4978	9	2	:	:	PUNCT
easat-4978	9	3	this	this	DET
easat-4978	9	4	study	study	NOUN
easat-4978	9	5	aims	aim	VERB
easat-4978	9	6	to	to	PART
easat-4978	9	7	enhance	enhance	VERB
easat-4978	9	8	the	the	DET
easat-4978	9	9	modeling	modeling	NOUN
easat-4978	9	10	of	of	ADP
easat-4978	9	11	heat	heat	NOUN
easat-4978	9	12	transfer	transfer	NOUN
easat-4978	9	13	under	under	ADP
easat-4978	9	14	uncertainty	uncertainty	NOUN
easat-4978	9	15	by	by	ADP
easat-4978	9	16	representing	represent	VERB
easat-4978	9	17	thermal	thermal	ADJ
easat-4978	9	18	diffusivity	diffusivity	NOUN
easat-4978	9	19	as	as	ADP
easat-4978	9	20	an	an	DET
easat-4978	9	21	intuitionistic	intuitionistic	ADJ
easat-4978	9	22	triangular	triangular	NOUN
easat-4978	9	23	fuzzy	fuzzy	ADJ
easat-4978	9	24	number	number	NOUN
easat-4978	9	25	(	(	PUNCT
easat-4978	9	26	itfn	itfn	NOUN
easat-4978	9	27	)	)	PUNCT
easat-4978	9	28	and	and	CCONJ
easat-4978	9	29	comparing	compare	VERB
easat-4978	9	30	various	various	ADJ
easat-4978	9	31	defuzzification	defuzzification	NOUN
easat-4978	9	32	methods	method	NOUN
easat-4978	9	33	.	.	PUNCT
easat-4978	10	1	the	the	DET
easat-4978	10	2	methodology	methodology	NOUN
easat-4978	10	3	involves	involve	VERB
easat-4978	10	4	fuzzifying	fuzzifye	VERB
easat-4978	10	5	the	the	DET
easat-4978	10	6	nominal	nominal	ADJ
easat-4978	10	7	thermal	thermal	ADJ
easat-4978	10	8	diffusivity	diffusivity	NOUN
easat-4978	10	9	of	of	ADP
easat-4978	10	10	copper	copper	NOUN
easat-4978	10	11	(	(	PUNCT
easat-4978	10	12	approximately	approximately	ADV
easat-4978	10	13	1.11×10⁻⁴	1.11×10⁻⁴	NUM
easat-4978	10	14	m²/s	m²/s	NOUN
easat-4978	10	15	)	)	PUNCT
easat-4978	10	16	into	into	ADP
easat-4978	10	17	an	an	DET
easat-4978	10	18	itfn	itfn	NOUN
easat-4978	10	19	,	,	PUNCT
easat-4978	10	20	followed	follow	VERB
easat-4978	10	21	by	by	ADP
easat-4978	10	22	the	the	DET
easat-4978	10	23	application	application	NOUN
easat-4978	10	24	of	of	ADP
easat-4978	10	25	three	three	NUM
easat-4978	10	26	defuzzification	defuzzification	NOUN
easat-4978	10	27	techniques	technique	NOUN
easat-4978	10	28	—	—	PUNCT
easat-4978	10	29	weighted	weight	VERB
easat-4978	10	30	average	average	ADJ
easat-4978	10	31	,	,	PUNCT
easat-4978	10	32	score	score	NOUN
easat-4978	10	33	function	function	NOUN
easat-4978	10	34	-	-	PUNCT
easat-4978	10	35	based	base	VERB
easat-4978	10	36	,	,	PUNCT
easat-4978	10	37	and	and	CCONJ
easat-4978	10	38	centroid	centroid	PROPN
easat-4978	10	39	methods	method	NOUN
easat-4978	10	40	—	—	PUNCT
easat-4978	10	41	to	to	PART
easat-4978	10	42	derive	derive	VERB
easat-4978	10	43	crisp	crisp	ADJ
easat-4978	10	44	values	value	NOUN
easat-4978	10	45	.	.	PUNCT
easat-4978	11	1	numerical	numerical	ADJ
easat-4978	11	2	simulations	simulation	NOUN
easat-4978	11	3	of	of	ADP
easat-4978	11	4	the	the	DET
easat-4978	11	5	heat	heat	NOUN
easat-4978	11	6	equation	equation	NOUN
easat-4978	11	7	were	be	AUX
easat-4978	11	8	conducted	conduct	VERB
easat-4978	11	9	using	use	VERB
easat-4978	11	10	these	these	DET
easat-4978	11	11	de	de	ADP
easat-4978	11	12	fuzzified	fuzzifie	VERB
easat-4978	11	13	values	value	NOUN
easat-4978	11	14	to	to	PART
easat-4978	11	15	assess	assess	VERB
easat-4978	11	16	their	their	PRON
easat-4978	11	17	impact	impact	NOUN
easat-4978	11	18	on	on	ADP
easat-4978	11	19	temperature	temperature	NOUN
easat-4978	11	20	distribution	distribution	NOUN
easat-4978	11	21	predictions	prediction	NOUN
easat-4978	11	22	.	.	PUNCT
easat-4978	12	1	findings	finding	NOUN
easat-4978	12	2	indicate	indicate	VERB
easat-4978	12	3	that	that	SCONJ
easat-4978	12	4	the	the	DET
easat-4978	12	5	weighted	weighted	ADJ
easat-4978	12	6	average	average	NOUN
easat-4978	12	7	and	and	CCONJ
easat-4978	12	8	centroid	centroid	PROPN
easat-4978	12	9	methods	method	NOUN
easat-4978	12	10	yield	yield	VERB
easat-4978	12	11	nearly	nearly	ADV
easat-4978	12	12	identical	identical	ADJ
easat-4978	12	13	values	value	NOUN
easat-4978	12	14	(	(	PUNCT
easat-4978	12	15	1.113×10⁻⁴	1.113×10⁻⁴	NUM
easat-4978	12	16	m²/s	m²/s	NOUN
easat-4978	12	17	)	)	PUNCT
easat-4978	12	18	,	,	PUNCT
easat-4978	12	19	whereas	whereas	SCONJ
easat-4978	12	20	the	the	DET
easat-4978	12	21	score	score	NOUN
easat-4978	12	22	function	function	NOUN
easat-4978	12	23	-	-	PUNCT
easat-4978	12	24	based	base	VERB
easat-4978	12	25	method	method	NOUN
easat-4978	12	26	produces	produce	VERB
easat-4978	12	27	a	a	DET
easat-4978	12	28	slightly	slightly	ADV
easat-4978	12	29	higher	high	ADJ
easat-4978	12	30	value	value	NOUN
easat-4978	12	31	of	of	ADP
easat-4978	12	32	1.158×10⁻⁴	1.158×10⁻⁴	NUM
easat-4978	12	33	m²/s	m²/s	NOUN
easat-4978	12	34	.	.	PUNCT
easat-4978	13	1	although	although	SCONJ
easat-4978	13	2	differences	difference	NOUN
easat-4978	13	3	in	in	ADP
easat-4978	13	4	predicted	predict	VERB
easat-4978	13	5	temperature	temperature	NOUN
easat-4978	13	6	profiles	profile	NOUN
easat-4978	13	7	are	be	AUX
easat-4978	13	8	minimal	minimal	ADJ
easat-4978	13	9	for	for	ADP
easat-4978	13	10	copper	copper	NOUN
easat-4978	13	11	,	,	PUNCT
easat-4978	13	12	the	the	DET
easat-4978	13	13	study	study	NOUN
easat-4978	13	14	highlights	highlight	VERB
easat-4978	13	15	that	that	PRON
easat-4978	13	16	for	for	ADP
easat-4978	13	17	materials	material	NOUN
easat-4978	13	18	with	with	ADP
easat-4978	13	19	greater	great	ADJ
easat-4978	13	20	variability	variability	NOUN
easat-4978	13	21	,	,	PUNCT
easat-4978	13	22	the	the	DET
easat-4978	13	23	choice	choice	NOUN
easat-4978	13	24	of	of	ADP
easat-4978	13	25	defuzzification	defuzzification	NOUN
easat-4978	13	26	method	method	NOUN
easat-4978	13	27	may	may	AUX
easat-4978	13	28	significantly	significantly	ADV
easat-4978	13	29	influence	influence	VERB
easat-4978	13	30	simulation	simulation	NOUN
easat-4978	13	31	outcomes	outcome	NOUN
easat-4978	13	32	.	.	PUNCT
easat-4978	14	1	these	these	DET
easat-4978	14	2	results	result	NOUN
easat-4978	14	3	suggest	suggest	VERB
easat-4978	14	4	that	that	SCONJ
easat-4978	14	5	employing	employ	VERB
easat-4978	14	6	itfns	itfns	NOUN
easat-4978	14	7	in	in	ADP
easat-4978	14	8	heat	heat	NOUN
easat-4978	14	9	transfer	transfer	NOUN
easat-4978	14	10	modeling	modeling	NOUN
easat-4978	14	11	provides	provide	VERB
easat-4978	14	12	a	a	DET
easat-4978	14	13	robust	robust	ADJ
easat-4978	14	14	framework	framework	NOUN
easat-4978	14	15	for	for	ADP
easat-4978	14	16	capturing	capture	VERB
easat-4978	14	17	material	material	ADJ
easat-4978	14	18	uncertainties	uncertainty	NOUN
easat-4978	14	19	,	,	PUNCT
easat-4978	14	20	thereby	thereby	ADV
easat-4978	14	21	improving	improve	VERB
easat-4978	14	22	the	the	DET
easat-4978	14	23	reliability	reliability	NOUN
easat-4978	14	24	of	of	ADP
easat-4978	14	25	engineering	engineering	NOUN
easat-4978	14	26	analyses	analysis	NOUN
easat-4978	14	27	in	in	ADP
easat-4978	14	28	uncertainty	uncertainty	NOUN
easat-4978	14	29	-	-	PUNCT
easat-4978	14	30	sensitive	sensitive	ADJ
easat-4978	14	31	applications	application	NOUN
easat-4978	14	32	.	.	PUNCT
easat-4978	15	1	keywords	keyword	NOUN
easat-4978	15	2	:	:	PUNCT
easat-4978	15	3	defuzzification	defuzzification	NOUN
easat-4978	15	4	methods	method	NOUN
easat-4978	15	5	,	,	PUNCT
easat-4978	15	6	heat	heat	NOUN
easat-4978	15	7	equation	equation	NOUN
easat-4978	15	8	,	,	PUNCT
easat-4978	15	9	intuitionistic	intuitionistic	ADJ
easat-4978	15	10	fuzzy	fuzzy	ADJ
easat-4978	15	11	numbers	number	NOUN
easat-4978	15	12	,	,	PUNCT
easat-4978	15	13	thermal	thermal	ADJ
easat-4978	15	14	diffusivity	diffusivity	NOUN
easat-4978	15	15	.	.	PUNCT
easat-4978	16	1	1	1	X
easat-4978	16	2	.	.	X
easat-4978	16	3	introduction	introduction	NOUN
easat-4978	16	4	in	in	ADP
easat-4978	16	5	bertone	bertone	PROPN
easat-4978	16	6	,	,	PUNCT
easat-4978	16	7	et	et	PROPN
easat-4978	16	8	al	al	PROPN
easat-4978	16	9	.	.	PUNCT
easat-4978	17	1	[	[	X
easat-4978	17	2	1	1	X
easat-4978	17	3	]	]	PUNCT
easat-4978	17	4	it	it	PRON
easat-4978	17	5	was	be	AUX
easat-4978	17	6	rigorously	rigorously	ADV
easat-4978	17	7	demonstrated	demonstrate	VERB
easat-4978	17	8	that	that	SCONJ
easat-4978	17	9	fuzzy	fuzzy	ADJ
easat-4978	17	10	solutions	solution	NOUN
easat-4978	17	11	—	—	PUNCT
easat-4978	17	12	constructed	construct	VERB
easat-4978	17	13	from	from	ADP
easat-4978	17	14	analytical	analytical	ADJ
easat-4978	17	15	solutions	solution	NOUN
easat-4978	17	16	of	of	ADP
easat-4978	17	17	partial	partial	ADJ
easat-4978	17	18	differential	differential	ADJ
easat-4978	17	19	equations	equation	NOUN
easat-4978	17	20	(	(	PUNCT
easat-4978	17	21	pdes)—exist	pdes)—exist	NOUN
easat-4978	17	22	via	via	ADP
easat-4978	17	23	the	the	DET
easat-4978	17	24	application	application	NOUN
easat-4978	17	25	of	of	ADP
easat-4978	17	26	the	the	DET
easat-4978	17	27	zadeh	zadeh	PROPN
easat-4978	17	28	extension	extension	NOUN
easat-4978	17	29	principle	principle	NOUN
easat-4978	17	30	.	.	PUNCT
easat-4978	18	1	this	this	DET
easat-4978	18	2	foundational	foundational	ADJ
easat-4978	18	3	result	result	NOUN
easat-4978	18	4	has	have	AUX
easat-4978	18	5	paved	pave	VERB
easat-4978	18	6	the	the	DET
easat-4978	18	7	way	way	NOUN
easat-4978	18	8	for	for	ADP
easat-4978	18	9	incorporating	incorporate	VERB
easat-4978	18	10	fuzzy	fuzzy	ADJ
easat-4978	18	11	logic	logic	NOUN
easat-4978	18	12	into	into	ADP
easat-4978	18	13	various	various	ADJ
easat-4978	18	14	areas	area	NOUN
easat-4978	18	15	of	of	ADP
easat-4978	18	16	applied	applied	ADJ
easat-4978	18	17	mathematics	mathematic	NOUN
easat-4978	18	18	,	,	PUNCT
easat-4978	18	19	particularly	particularly	ADV
easat-4978	18	20	in	in	ADP
easat-4978	18	21	the	the	DET
easat-4978	18	22	modeling	modeling	NOUN
easat-4978	18	23	of	of	ADP
easat-4978	18	24	systems	system	NOUN
easat-4978	18	25	where	where	SCONJ
easat-4978	18	26	uncertainty	uncertainty	NOUN
easat-4978	18	27	plays	play	VERB
easat-4978	18	28	a	a	DET
easat-4978	18	29	critical	critical	ADJ
easat-4978	18	30	role	role	NOUN
easat-4978	18	31	.	.	PUNCT
easat-4978	19	1	heat	heat	NOUN
easat-4978	19	2	conduction	conduction	NOUN
easat-4978	19	3	,	,	PUNCT
easat-4978	19	4	a	a	DET
easat-4978	19	5	phenomenon	phenomenon	NOUN
easat-4978	19	6	central	central	ADJ
easat-4978	19	7	to	to	ADP
easat-4978	19	8	thermal	thermal	ADJ
easat-4978	19	9	engineering	engineering	NOUN
easat-4978	19	10	[	[	X
easat-4978	19	11	2	2	NUM
easat-4978	19	12	]	]	PUNCT
easat-4978	19	13	material	material	NOUN
easat-4978	19	14	science	science	NOUN
easat-4978	19	15	[	[	X
easat-4978	19	16	3	3	NUM
easat-4978	19	17	]	]	PUNCT
easat-4978	19	18	and	and	CCONJ
easat-4978	19	19	applied	apply	VERB
easat-4978	19	20	mathematics	mathematic	NOUN
easat-4978	20	1	[	[	X
easat-4978	20	2	4	4	X
easat-4978	20	3	]	]	PUNCT
easat-4978	20	4	is	be	AUX
easat-4978	20	5	traditionally	traditionally	ADV
easat-4978	20	6	modeled	model	VERB
easat-4978	20	7	by	by	ADP
easat-4978	20	8	the	the	DET
easat-4978	20	9	classical	classical	ADJ
easat-4978	20	10	heat	heat	NOUN
easat-4978	20	11	equation	equation	NOUN
easat-4978	20	12	.	.	PUNCT
easat-4978	21	1	this	this	DET
easat-4978	21	2	equation	equation	NOUN
easat-4978	21	3	presupposes	presuppose	VERB
easat-4978	21	4	a	a	DET
easat-4978	21	5	precise	precise	ADJ
easat-4978	21	6	,	,	PUNCT
easat-4978	21	7	deterministic	deterministic	ADJ
easat-4978	21	8	thermal	thermal	ADJ
easat-4978	21	9	diffusivity	diffusivity	NOUN
easat-4978	21	10	.	.	PUNCT
easat-4978	22	1	however	however	ADV
easat-4978	22	2	,	,	PUNCT
easat-4978	22	3	real	real	ADJ
easat-4978	22	4	-	-	PUNCT
easat-4978	22	5	world	world	NOUN
easat-4978	22	6	scenarios	scenario	NOUN
easat-4978	22	7	are	be	AUX
easat-4978	22	8	seldom	seldom	ADV
easat-4978	22	9	ideal	ideal	ADJ
easat-4978	22	10	;	;	PUNCT
easat-4978	22	11	uncertainties	uncertainty	NOUN
easat-4978	22	12	arising	arise	VERB
easat-4978	22	13	from	from	ADP
easat-4978	22	14	material	material	ADJ
easat-4978	22	15	heterogeneities	heterogeneity	NOUN
easat-4978	22	16	,	,	PUNCT
easat-4978	22	17	measurement	measurement	NOUN
easat-4978	22	18	errors	error	NOUN
easat-4978	22	19	,	,	PUNCT
easat-4978	22	20	and	and	CCONJ
easat-4978	22	21	environmental	environmental	ADJ
easat-4978	22	22	fluctuations	fluctuation	NOUN
easat-4978	22	23	necessitate	necessitate	ADJ
easat-4978	22	24	a	a	DET
easat-4978	22	25	more	more	ADV
easat-4978	22	26	robust	robust	ADJ
easat-4978	22	27	representation	representation	NOUN
easat-4978	22	28	of	of	ADP
easat-4978	22	29	such	such	ADJ
easat-4978	22	30	parameters	parameter	NOUN
easat-4978	22	31	[	[	X
easat-4978	22	32	5	5	NUM
easat-4978	22	33	]	]	PUNCT
easat-4978	22	34	.	.	PUNCT
easat-4978	23	1	fuzzy	fuzzy	ADJ
easat-4978	23	2	set	set	PROPN
easat-4978	23	3	theory	theory	NOUN
easat-4978	23	4	,	,	PUNCT
easat-4978	23	5	as	as	SCONJ
easat-4978	23	6	introduced	introduce	VERB
easat-4978	23	7	by	by	ADP
easat-4978	23	8	zadeh	zadeh	PROPN
easat-4978	24	1	[	[	X
easat-4978	24	2	6	6	NUM
easat-4978	24	3	]	]	PUNCT
easat-4978	24	4	and	and	CCONJ
easat-4978	24	5	further	far	ADV
easat-4978	24	6	extended	extend	VERB
easat-4978	24	7	by	by	ADP
easat-4978	24	8	bellman	bellman	NOUN
easat-4978	24	9	and	and	CCONJ
easat-4978	24	10	zadeh	zadeh	PROPN
easat-4978	25	1	[	[	X
easat-4978	25	2	7	7	NUM
easat-4978	25	3	]	]	PUNCT
easat-4978	25	4	has	have	AUX
easat-4978	25	5	provided	provide	VERB
easat-4978	25	6	the	the	DET
easat-4978	25	7	conceptual	conceptual	ADJ
easat-4978	25	8	basis	basis	NOUN
easat-4978	25	9	for	for	ADP
easat-4978	25	10	representing	represent	VERB
easat-4978	25	11	uncertainty	uncertainty	NOUN
easat-4978	25	12	.	.	PUNCT
easat-4978	26	1	more	more	ADJ
easat-4978	26	2	recent	recent	ADJ
easat-4978	26	3	studies	study	NOUN
easat-4978	26	4	have	have	AUX
easat-4978	26	5	employed	employ	VERB
easat-4978	26	6	the	the	DET
easat-4978	26	7	zadeh	zadeh	PROPN
easat-4978	26	8	extension	extension	NOUN
easat-4978	26	9	principle	principle	NOUN
easat-4978	26	10	to	to	PART
easat-4978	26	11	construct	construct	VERB
easat-4978	26	12	fuzzy	fuzzy	ADJ
easat-4978	26	13	analytical	analytical	ADJ
easat-4978	26	14	solutions	solution	NOUN
easat-4978	26	15	to	to	ADP
easat-4978	26	16	pdes	pde	NOUN
easat-4978	26	17	[	[	X
easat-4978	26	18	1	1	X
easat-4978	26	19	]	]	PUNCT
easat-4978	26	20	thereby	thereby	ADV
easat-4978	26	21	establishing	establish	VERB
easat-4978	26	22	a	a	DET
easat-4978	26	23	rigorous	rigorous	ADJ
easat-4978	26	24	framework	framework	NOUN
easat-4978	26	25	for	for	ADP
easat-4978	26	26	uncertainty	uncertainty	NOUN
easat-4978	26	27	quantification	quantification	NOUN
easat-4978	26	28	in	in	ADP
easat-4978	26	29	heat	heat	NOUN
easat-4978	26	30	transfer	transfer	NOUN
easat-4978	26	31	problems	problem	NOUN
easat-4978	26	32	.	.	PUNCT
easat-4978	27	1	in	in	ADP
easat-4978	27	2	this	this	DET
easat-4978	27	3	context	context	NOUN
easat-4978	27	4	,	,	PUNCT
easat-4978	27	5	intuitionistic	intuitionistic	ADJ
easat-4978	27	6	fuzzy	fuzzy	ADJ
easat-4978	27	7	numbers	number	NOUN
easat-4978	27	8	(	(	PUNCT
easat-4978	27	9	ifns	ifns	NOUN
easat-4978	27	10	)	)	PUNCT
easat-4978	27	11	have	have	AUX
easat-4978	27	12	emerged	emerge	VERB
easat-4978	27	13	as	as	ADP
easat-4978	27	14	an	an	DET
easat-4978	27	15	advanced	advanced	ADJ
easat-4978	27	16	tool	tool	NOUN
easat-4978	27	17	by	by	ADP
easat-4978	27	18	incorporating	incorporate	VERB
easat-4978	27	19	both	both	CCONJ
easat-4978	27	20	membership	membership	NOUN
easat-4978	27	21	and	and	CCONJ
easat-4978	27	22	non	non	ADJ
easat-4978	27	23	-	-	ADJ
easat-4978	27	24	membership	membership	ADJ
easat-4978	27	25	degrees	degree	NOUN
easat-4978	27	26	,	,	PUNCT
easat-4978	27	27	offering	offer	VERB
easat-4978	27	28	a	a	DET
easat-4978	27	29	more	more	ADV
easat-4978	27	30	nuanced	nuanced	ADJ
easat-4978	27	31	description	description	NOUN
easat-4978	27	32	of	of	ADP
easat-4978	27	33	uncertainty	uncertainty	NOUN
easat-4978	27	34	[	[	X
easat-4978	27	35	8	8	NUM
easat-4978	27	36	]	]	PUNCT
easat-4978	27	37	.	.	PUNCT
easat-4978	28	1	the	the	DET
easat-4978	28	2	1924	1924	NUM
easat-4978	28	3	edelweiss	edelweiss	PROPN
easat-4978	28	4	applied	apply	VERB
easat-4978	28	5	science	science	NOUN
easat-4978	28	6	and	and	CCONJ
easat-4978	28	7	technology	technology	NOUN
easat-4978	28	8	issn	issn	PROPN
easat-4978	28	9	:	:	PUNCT
easat-4978	28	10	2576	2576	NUM
easat-4978	28	11	-	-	SYM
easat-4978	28	12	8484	8484	NUM
easat-4978	28	13	vol	vol	NOUN
easat-4978	28	14	.	.	PROPN
easat-4978	29	1	9	9	NUM
easat-4978	29	2	,	,	PUNCT
easat-4978	29	3	no	no	INTJ
easat-4978	29	4	.	.	NOUN
easat-4978	29	5	2	2	NUM
easat-4978	29	6	:	:	SYM
easat-4978	29	7	1923	1923	NUM
easat-4978	29	8	-	-	SYM
easat-4978	29	9	1930	1930	NUM
easat-4978	29	10	,	,	PUNCT
easat-4978	29	11	2025	2025	NUM
easat-4978	29	12	doi	doi	NOUN
easat-4978	29	13	:	:	PUNCT
easat-4978	29	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	29	15	©	©	ADP
easat-4978	29	16	2025	2025	NUM
easat-4978	29	17	by	by	ADP
easat-4978	29	18	the	the	DET
easat-4978	29	19	authors	author	NOUN
easat-4978	29	20	;	;	PUNCT
easat-4978	29	21	licensee	licensee	NOUN
easat-4978	29	22	learning	learn	VERB
easat-4978	29	23	gate	gate	NOUN
easat-4978	29	24	integration	integration	NOUN
easat-4978	29	25	of	of	ADP
easat-4978	29	26	fuzzy	fuzzy	ADJ
easat-4978	29	27	methodologies	methodology	NOUN
easat-4978	29	28	in	in	ADP
easat-4978	29	29	various	various	ADJ
easat-4978	29	30	computational	computational	ADJ
easat-4978	29	31	domains	domain	NOUN
easat-4978	29	32	,	,	PUNCT
easat-4978	29	33	including	include	VERB
easat-4978	29	34	machine	machine	NOUN
easat-4978	29	35	learning	learning	NOUN
easat-4978	29	36	,	,	PUNCT
easat-4978	29	37	has	have	AUX
easat-4978	29	38	demonstrated	demonstrate	VERB
easat-4978	29	39	their	their	PRON
easat-4978	29	40	efficacy	efficacy	NOUN
easat-4978	29	41	in	in	ADP
easat-4978	29	42	handling	handle	VERB
easat-4978	29	43	uncertainty	uncertainty	NOUN
easat-4978	29	44	and	and	CCONJ
easat-4978	29	45	improving	improve	VERB
easat-4978	29	46	model	model	NOUN
easat-4978	29	47	robustness	robustness	NOUN
easat-4978	29	48	[	[	X
easat-4978	29	49	9	9	NUM
easat-4978	29	50	-	-	SYM
easat-4978	29	51	14	14	NUM
easat-4978	29	52	]	]	PUNCT
easat-4978	29	53	.	.	PUNCT
easat-4978	30	1	the	the	DET
easat-4978	30	2	application	application	NOUN
easat-4978	30	3	of	of	ADP
easat-4978	30	4	fuzzy	fuzzy	ADJ
easat-4978	30	5	intuitionistic	intuitionistic	ADJ
easat-4978	30	6	fuzzy	fuzzy	ADJ
easat-4978	30	7	numbers	number	NOUN
easat-4978	30	8	(	(	PUNCT
easat-4978	30	9	ifns	ifns	NOUN
easat-4978	30	10	)	)	PUNCT
easat-4978	30	11	in	in	ADP
easat-4978	30	12	thermal	thermal	ADJ
easat-4978	30	13	diffusivity	diffusivity	NOUN
easat-4978	30	14	modeling	modeling	NOUN
easat-4978	30	15	remains	remain	VERB
easat-4978	30	16	relatively	relatively	ADV
easat-4978	30	17	rare	rare	ADJ
easat-4978	30	18	compared	compare	VERB
easat-4978	30	19	to	to	ADP
easat-4978	30	20	their	their	PRON
easat-4978	30	21	use	use	NOUN
easat-4978	30	22	in	in	ADP
easat-4978	30	23	other	other	ADJ
easat-4978	30	24	fields	field	NOUN
easat-4978	30	25	,	,	PUNCT
easat-4978	30	26	such	such	ADJ
easat-4978	30	27	as	as	ADP
easat-4978	30	28	control	control	NOUN
easat-4978	30	29	systems	system	NOUN
easat-4978	30	30	and	and	CCONJ
easat-4978	30	31	signal	signal	NOUN
easat-4978	30	32	processing	processing	NOUN
easat-4978	30	33	[	[	X
easat-4978	30	34	15	15	NUM
easat-4978	30	35	-	-	SYM
easat-4978	30	36	18	18	NUM
easat-4978	30	37	]	]	PUNCT
easat-4978	30	38	.	.	PUNCT
easat-4978	31	1	most	most	ADJ
easat-4978	31	2	existing	exist	VERB
easat-4978	31	3	studies	study	NOUN
easat-4978	31	4	focus	focus	VERB
easat-4978	31	5	on	on	ADP
easat-4978	31	6	conventional	conventional	ADJ
easat-4978	31	7	fuzzy	fuzzy	ADJ
easat-4978	31	8	models	model	NOUN
easat-4978	31	9	,	,	PUNCT
easat-4978	31	10	while	while	SCONJ
easat-4978	31	11	ifn	ifn	NOUN
easat-4978	31	12	-	-	PUNCT
easat-4978	31	13	based	base	VERB
easat-4978	31	14	approaches	approach	NOUN
easat-4978	31	15	are	be	AUX
easat-4978	31	16	only	only	ADV
easat-4978	31	17	beginning	begin	VERB
easat-4978	31	18	to	to	PART
easat-4978	31	19	be	be	AUX
easat-4978	31	20	explored	explore	VERB
easat-4978	31	21	in	in	ADP
easat-4978	31	22	the	the	DET
easat-4978	31	23	context	context	NOUN
easat-4978	31	24	of	of	ADP
easat-4978	31	25	heat	heat	NOUN
easat-4978	31	26	transfer	transfer	NOUN
easat-4978	31	27	.	.	PUNCT
easat-4978	32	1	the	the	DET
easat-4978	32	2	scarcity	scarcity	NOUN
easat-4978	32	3	of	of	ADP
easat-4978	32	4	research	research	NOUN
easat-4978	32	5	in	in	ADP
easat-4978	32	6	this	this	DET
easat-4978	32	7	area	area	NOUN
easat-4978	32	8	highlights	highlight	VERB
easat-4978	32	9	the	the	DET
easat-4978	32	10	need	need	NOUN
easat-4978	32	11	for	for	ADP
easat-4978	32	12	further	further	ADJ
easat-4978	32	13	investigation	investigation	NOUN
easat-4978	32	14	into	into	ADP
easat-4978	32	15	the	the	DET
easat-4978	32	16	applicability	applicability	NOUN
easat-4978	32	17	and	and	CCONJ
easat-4978	32	18	advantages	advantage	NOUN
easat-4978	32	19	of	of	ADP
easat-4978	32	20	ifns	ifns	NOUN
easat-4978	32	21	in	in	ADP
easat-4978	32	22	thermal	thermal	ADJ
easat-4978	32	23	modeling	modeling	NOUN
easat-4978	32	24	.	.	PUNCT
easat-4978	33	1	while	while	SCONJ
easat-4978	33	2	bertone	bertone	PROPN
easat-4978	33	3	,	,	PUNCT
easat-4978	33	4	et	et	PROPN
easat-4978	33	5	al	al	PROPN
easat-4978	33	6	.	.	PUNCT
easat-4978	34	1	[	[	X
easat-4978	34	2	1	1	X
easat-4978	34	3	]	]	PUNCT
easat-4978	34	4	laid	lay	VERB
easat-4978	34	5	a	a	DET
easat-4978	34	6	robust	robust	ADJ
easat-4978	34	7	theoretical	theoretical	ADJ
easat-4978	34	8	foundation	foundation	NOUN
easat-4978	34	9	for	for	ADP
easat-4978	34	10	constructing	construct	VERB
easat-4978	34	11	fuzzy	fuzzy	ADJ
easat-4978	34	12	solutions	solution	NOUN
easat-4978	34	13	to	to	ADP
easat-4978	34	14	partial	partial	ADJ
easat-4978	34	15	differential	differential	ADJ
easat-4978	34	16	equations	equation	NOUN
easat-4978	34	17	using	use	VERB
easat-4978	34	18	zadeh	zadeh	PROPN
easat-4978	34	19	’s	’s	PART
easat-4978	34	20	extension	extension	NOUN
easat-4978	34	21	principle	principle	NOUN
easat-4978	34	22	,	,	PUNCT
easat-4978	34	23	their	their	PRON
easat-4978	34	24	work	work	NOUN
easat-4978	34	25	primarily	primarily	ADV
easat-4978	34	26	focused	focus	VERB
easat-4978	34	27	on	on	ADP
easat-4978	34	28	converting	convert	VERB
easat-4978	34	29	analytic	analytic	ADJ
easat-4978	34	30	solutions	solution	NOUN
easat-4978	34	31	into	into	ADP
easat-4978	34	32	fuzzy	fuzzy	ADJ
easat-4978	34	33	ones	one	NOUN
easat-4978	34	34	through	through	ADP
easat-4978	34	35	conventional	conventional	ADJ
easat-4978	34	36	fuzzy	fuzzy	ADJ
easat-4978	34	37	numbers	number	NOUN
easat-4978	34	38	.	.	PUNCT
easat-4978	35	1	in	in	ADP
easat-4978	35	2	contrast	contrast	NOUN
easat-4978	35	3	,	,	PUNCT
easat-4978	35	4	our	our	PRON
easat-4978	35	5	research	research	NOUN
easat-4978	35	6	extends	extend	VERB
easat-4978	35	7	this	this	DET
easat-4978	35	8	framework	framework	NOUN
easat-4978	35	9	by	by	ADP
easat-4978	35	10	employing	employ	VERB
easat-4978	35	11	intuitionistic	intuitionistic	ADJ
easat-4978	35	12	fuzzy	fuzzy	ADJ
easat-4978	35	13	numbers	number	NOUN
easat-4978	35	14	(	(	PUNCT
easat-4978	35	15	ifns	ifns	NOUN
easat-4978	35	16	)	)	PUNCT
easat-4978	35	17	to	to	PART
easat-4978	35	18	fuzzify	fuzzify	VERB
easat-4978	35	19	the	the	DET
easat-4978	35	20	analytic	analytic	ADJ
easat-4978	35	21	solution	solution	NOUN
easat-4978	35	22	of	of	ADP
easat-4978	35	23	the	the	DET
easat-4978	35	24	heat	heat	NOUN
easat-4978	35	25	equation	equation	NOUN
easat-4978	35	26	.	.	PUNCT
easat-4978	36	1	this	this	DET
easat-4978	36	2	approach	approach	NOUN
easat-4978	36	3	not	not	PART
easat-4978	36	4	only	only	ADV
easat-4978	36	5	mirrors	mirror	VERB
easat-4978	36	6	the	the	DET
easat-4978	36	7	methodology	methodology	NOUN
easat-4978	36	8	of	of	ADP
easat-4978	36	9	bertone	bertone	NOUN
easat-4978	36	10	,	,	PUNCT
easat-4978	36	11	et	et	PROPN
easat-4978	36	12	al	al	PROPN
easat-4978	36	13	.	.	PUNCT
easat-4978	37	1	[	[	X
easat-4978	37	2	1	1	NUM
easat-4978	37	3	]	]	PUNCT
easat-4978	37	4	but	but	CCONJ
easat-4978	37	5	also	also	ADV
easat-4978	37	6	introduces	introduce	VERB
easat-4978	37	7	a	a	DET
easat-4978	37	8	significant	significant	ADJ
easat-4978	37	9	innovation	innovation	NOUN
easat-4978	37	10	—	—	PUNCT
easat-4978	37	11	by	by	ADP
easat-4978	37	12	incorporating	incorporate	VERB
easat-4978	37	13	both	both	CCONJ
easat-4978	37	14	membership	membership	NOUN
easat-4978	37	15	and	and	CCONJ
easat-4978	37	16	nonmembership	nonmembership	NOUN
easat-4978	37	17	degrees	degree	NOUN
easat-4978	37	18	,	,	PUNCT
easat-4978	37	19	ifns	ifns	NOUN
easat-4978	37	20	offer	offer	VERB
easat-4978	37	21	a	a	DET
easat-4978	37	22	richer	rich	ADJ
easat-4978	37	23	and	and	CCONJ
easat-4978	37	24	more	more	ADV
easat-4978	37	25	nuanced	nuanced	ADJ
easat-4978	37	26	representation	representation	NOUN
easat-4978	37	27	of	of	ADP
easat-4978	37	28	uncertainty	uncertainty	NOUN
easat-4978	37	29	.	.	PUNCT
easat-4978	38	1	such	such	DET
easat-4978	38	2	a	a	DET
easat-4978	38	3	dual	dual	ADJ
easat-4978	38	4	representation	representation	NOUN
easat-4978	38	5	is	be	AUX
easat-4978	38	6	particularly	particularly	ADV
easat-4978	38	7	advantageous	advantageous	ADJ
easat-4978	38	8	in	in	ADP
easat-4978	38	9	accurately	accurately	ADV
easat-4978	38	10	modeling	model	VERB
easat-4978	38	11	thermal	thermal	ADJ
easat-4978	38	12	diffusivity	diffusivity	NOUN
easat-4978	38	13	in	in	ADP
easat-4978	38	14	situations	situation	NOUN
easat-4978	38	15	where	where	SCONJ
easat-4978	38	16	experimental	experimental	ADJ
easat-4978	38	17	data	datum	NOUN
easat-4978	38	18	are	be	AUX
easat-4978	38	19	sparse	sparse	ADJ
easat-4978	38	20	or	or	CCONJ
easat-4978	38	21	highly	highly	ADV
easat-4978	38	22	variable	variable	ADJ
easat-4978	38	23	.	.	PUNCT
easat-4978	39	1	thus	thus	ADV
easat-4978	39	2	,	,	PUNCT
easat-4978	39	3	our	our	PRON
easat-4978	39	4	work	work	NOUN
easat-4978	39	5	fills	fill	VERB
easat-4978	39	6	a	a	DET
easat-4978	39	7	critical	critical	ADJ
easat-4978	39	8	gap	gap	NOUN
easat-4978	39	9	by	by	ADP
easat-4978	39	10	demonstrating	demonstrate	VERB
easat-4978	39	11	how	how	SCONJ
easat-4978	39	12	the	the	DET
easat-4978	39	13	analytic	analytic	ADJ
easat-4978	39	14	fuzzy	fuzzy	ADJ
easat-4978	39	15	solution	solution	NOUN
easat-4978	39	16	,	,	PUNCT
easat-4978	39	17	when	when	SCONJ
easat-4978	39	18	constructed	construct	VERB
easat-4978	39	19	with	with	ADP
easat-4978	39	20	ifns	ifns	NOUN
easat-4978	39	21	,	,	PUNCT
easat-4978	39	22	can	can	AUX
easat-4978	39	23	enhance	enhance	VERB
easat-4978	39	24	the	the	DET
easat-4978	39	25	predictive	predictive	ADJ
easat-4978	39	26	accuracy	accuracy	NOUN
easat-4978	39	27	and	and	CCONJ
easat-4978	39	28	reliability	reliability	NOUN
easat-4978	39	29	of	of	ADP
easat-4978	39	30	thermal	thermal	ADJ
easat-4978	39	31	simulations	simulation	NOUN
easat-4978	39	32	in	in	ADP
easat-4978	39	33	engineering	engineering	NOUN
easat-4978	39	34	applications	application	NOUN
easat-4978	39	35	.	.	PUNCT
easat-4978	40	1	2	2	X
easat-4978	40	2	.	.	X
easat-4978	40	3	theoretical	theoretical	ADJ
easat-4978	40	4	background	background	NOUN
easat-4978	40	5	definition	definition	NOUN
easat-4978	40	6	1	1	NUM
easat-4978	40	7	.	.	PUNCT
easat-4978	41	1	nguyen	nguyen	NOUN
easat-4978	42	1	[	[	X
easat-4978	42	2	19	19	NUM
easat-4978	42	3	]	]	PUNCT
easat-4978	42	4	the	the	DET
easat-4978	42	5	zadeh	zadeh	PROPN
easat-4978	42	6	extension	extension	PROPN
easat-4978	42	7	principle	principle	NOUN
easat-4978	42	8	of	of	ADP
easat-4978	42	9	a	a	DET
easat-4978	42	10	function	function	NOUN
easat-4978	42	11	𝑓	𝑓	NOUN
easat-4978	42	12	:	:	PUNCT
easat-4978	42	13	𝑋	𝑋	PROPN
easat-4978	42	14	→	→	SYM
easat-4978	42	15	𝑍	𝑍	PROPN
easat-4978	42	16	where	where	SCONJ
easat-4978	42	17	𝑋	𝑋	NOUN
easat-4978	42	18	and	and	CCONJ
easat-4978	42	19	𝑍	𝑍	PROPN
easat-4978	42	20	are	be	AUX
easat-4978	42	21	non	non	ADJ
easat-4978	42	22	-	-	ADJ
easat-4978	42	23	empty	empty	ADJ
easat-4978	42	24	metric	metric	ADJ
easat-4978	42	25	spaces	space	NOUN
easat-4978	42	26	,	,	PUNCT
easat-4978	42	27	defines	define	NOUN
easat-4978	42	28	,	,	PUNCT
easat-4978	42	29	𝑓	𝑓	PRON
easat-4978	42	30	as	as	ADP
easat-4978	42	31	a	a	DET
easat-4978	42	32	function	function	NOUN
easat-4978	42	33	that	that	PRON
easat-4978	42	34	,	,	PUNCT
easat-4978	42	35	when	when	SCONJ
easat-4978	42	36	applied	apply	VERB
easat-4978	42	37	to	to	ADP
easat-4978	42	38	a	a	DET
easat-4978	42	39	fuzzy	fuzzy	ADJ
easat-4978	42	40	set	set	VERB
easat-4978	42	41	𝐷	𝐷	PROPN
easat-4978	42	42	⊂	⊂	PROPN
easat-4978	42	43	𝑋	𝑋	PROPN
easat-4978	42	44	,	,	PUNCT
easat-4978	42	45	produces	produce	VERB
easat-4978	42	46	a	a	DET
easat-4978	42	47	fuzzy	fuzzy	ADJ
easat-4978	42	48	set	set	VERB
easat-4978	42	49	𝑓(𝐷	𝑓(𝐷	NOUN
easat-4978	42	50	)	)	PUNCT
easat-4978	42	51	in	in	ADP
easat-4978	42	52	𝑍	𝑍	NOUN
easat-4978	42	53	,	,	PUNCT
easat-4978	42	54	whose	whose	DET
easat-4978	42	55	membership	membership	NOUN
easat-4978	42	56	function	function	NOUN
easat-4978	42	57	is	be	AUX
easat-4978	42	58	given	give	VERB
easat-4978	42	59	by	by	ADP
easat-4978	42	60	𝜇	𝜇	ADP
easat-4978	42	61	�	�	PROPN
easat-4978	42	62	̂	̂	SYM
easat-4978	42	63	�	�	NOUN
easat-4978	42	64	(𝐷)(𝑍	(𝐷)(𝑍	NOUN
easat-4978	42	65	)	)	PUNCT
easat-4978	42	66	=	=	PRON
easat-4978	42	67	{	{	PUNCT
easat-4978	42	68	sup	sup	NOUN
easat-4978	42	69	{	{	PUNCT
easat-4978	42	70	𝑥:𝑓(𝑥)=𝑧	𝑥:𝑓(𝑥)=𝑧	NOUN
easat-4978	42	71	}	}	PUNCT
easat-4978	42	72	𝜇𝐷(𝑥	𝜇𝐷(𝑥	PROPN
easat-4978	42	73	)	)	PUNCT
easat-4978	42	74	𝑖𝑓	𝑖𝑓	X
easat-4978	42	75	{	{	PUNCT
easat-4978	42	76	𝑥	𝑥	NOUN
easat-4978	42	77	:	:	PUNCT
easat-4978	42	78	𝑓(𝑥	𝑓(𝑥	NOUN
easat-4978	42	79	)	)	PUNCT
easat-4978	42	80	=	=	PUNCT
easat-4978	42	81	𝑧	𝑧	X
easat-4978	42	82	}	}	PUNCT
easat-4978	42	83	≠	≠	PROPN
easat-4978	42	84	∅	∅	NOUN
easat-4978	42	85	,	,	PUNCT
easat-4978	42	86	0	0	NUM
easat-4978	42	87	,	,	PUNCT
easat-4978	42	88	𝑜𝑡ℎ𝑒𝑟𝑠	𝑜𝑡ℎ𝑒𝑟𝑠	PROPN
easat-4978	42	89	where	where	SCONJ
easat-4978	42	90	𝑓(𝐷	𝑓(𝐷	PROPN
easat-4978	42	91	)	)	PUNCT
easat-4978	42	92	=	=	SYM
easat-4978	42	93	𝑓(𝐷	𝑓(𝐷	PROPN
easat-4978	42	94	)	)	PUNCT
easat-4978	42	95	if	if	SCONJ
easat-4978	42	96	𝐷	𝐷	PROPN
easat-4978	42	97	is	be	AUX
easat-4978	42	98	a	a	DET
easat-4978	42	99	classical	classical	ADJ
easat-4978	42	100	set	set	NOUN
easat-4978	42	101	in	in	ADP
easat-4978	42	102	𝑋	𝑋	NOUN
easat-4978	42	103	as	as	ADP
easat-4978	42	104	a	a	DET
easat-4978	42	105	consequence	consequence	NOUN
easat-4978	42	106	of	of	ADP
easat-4978	42	107	zadeh	zadeh	PROPN
easat-4978	42	108	’s	’s	PART
easat-4978	42	109	extension	extension	NOUN
easat-4978	42	110	principle	principle	NOUN
easat-4978	42	111	,	,	PUNCT
easat-4978	42	112	the	the	DET
easat-4978	42	113	following	follow	VERB
easat-4978	42	114	proposition	proposition	NOUN
easat-4978	42	115	is	be	AUX
easat-4978	42	116	obtained	obtain	VERB
easat-4978	42	117	:	:	PUNCT
easat-4978	42	118	proposition	proposition	NOUN
easat-4978	42	119	2	2	NUM
easat-4978	42	120	.	.	X
easat-4978	42	121	de	de	PROPN
easat-4978	42	122	barros	barros	PROPN
easat-4978	42	123	,	,	PUNCT
easat-4978	42	124	et	et	PROPN
easat-4978	42	125	al	al	PROPN
easat-4978	42	126	.	.	PUNCT
easat-4978	43	1	[	[	X
easat-4978	43	2	20	20	NUM
easat-4978	43	3	]	]	PUNCT
easat-4978	43	4	and	and	CCONJ
easat-4978	43	5	goo	goo	NOUN
easat-4978	43	6	and	and	CCONJ
easat-4978	43	7	park	park	NOUN
easat-4978	43	8	[	[	X
easat-4978	43	9	21	21	NUM
easat-4978	43	10	]	]	X
easat-4978	43	11	let	let	VERB
easat-4978	43	12	x	x	PRON
easat-4978	43	13	and	and	CCONJ
easat-4978	43	14	be	be	AUX
easat-4978	43	15	non	non	ADJ
easat-4978	43	16	-	-	ADJ
easat-4978	43	17	empty	empty	ADJ
easat-4978	43	18	metric	metric	ADJ
easat-4978	43	19	spaces	space	NOUN
easat-4978	43	20	,	,	PUNCT
easat-4978	43	21	let	let	VERB
easat-4978	43	22	d	d	PRON
easat-4978	43	23	be	be	AUX
easat-4978	43	24	a	a	DET
easat-4978	43	25	fuzzy	fuzzy	ADJ
easat-4978	43	26	set	set	NOUN
easat-4978	43	27	in	in	ADP
easat-4978	43	28	𝑋	𝑋	NOUN
easat-4978	43	29	and	and	CCONJ
easat-4978	43	30	let	let	VERB
easat-4978	43	31	𝑓	𝑓	X
easat-4978	43	32	:	:	PUNCT
easat-4978	43	33	𝑋	𝑋	PROPN
easat-4978	43	34	→	→	SYM
easat-4978	43	35	𝑍	𝑍	NOUN
easat-4978	43	36	be	be	AUX
easat-4978	43	37	continuous	continuous	ADJ
easat-4978	43	38	.	.	PUNCT
easat-4978	44	1	then	then	ADV
easat-4978	44	2	,	,	PUNCT
easat-4978	44	3	for	for	ADP
easat-4978	44	4	each	each	DET
easat-4978	44	5	0	0	NUM
easat-4978	44	6	≤	≤	NUM
easat-4978	44	7	𝛼	𝛼	PRON
easat-4978	44	8	≤	≤	NUM
easat-4978	44	9	1	1	NUM
easat-4978	44	10	.	.	PUNCT
easat-4978	45	1	[	[	X
easat-4978	45	2	𝑓(𝐷	𝑓(𝐷	NOUN
easat-4978	45	3	)	)	PUNCT
easat-4978	45	4	]	]	PUNCT
easat-4978	46	1	𝛼	𝛼	X
easat-4978	46	2	=	=	SYM
easat-4978	46	3	𝑓([𝐷]𝛼	𝑓([𝐷]𝛼	PROPN
easat-4978	46	4	)	)	PUNCT
easat-4978	46	5	.	.	PUNCT
easat-4978	47	1	definition	definition	NOUN
easat-4978	47	2	3	3	NUM
easat-4978	47	3	.	.	PUNCT
easat-4978	48	1	liu	liu	PROPN
easat-4978	48	2	,	,	PUNCT
easat-4978	48	3	et	et	PROPN
easat-4978	48	4	al	al	PROPN
easat-4978	48	5	.	.	PUNCT
easat-4978	49	1	[	[	X
easat-4978	49	2	22	22	NUM
easat-4978	49	3	]	]	PUNCT
easat-4978	49	4	an	an	DET
easat-4978	49	5	intuitionistic	intuitionistic	ADJ
easat-4978	49	6	fuzzy	fuzzy	ADJ
easat-4978	49	7	number	number	NOUN
easat-4978	49	8	�	�	PROPN
easat-4978	49	9	̃	̃	PROPN
easat-4978	49	10	�	�	PROPN
easat-4978	49	11	on	on	ADP
easat-4978	49	12	the	the	DET
easat-4978	49	13	universe	universe	NOUN
easat-4978	49	14	𝑋	𝑋	NOUN
easat-4978	49	15	is	be	AUX
easat-4978	49	16	defined	define	VERB
easat-4978	49	17	as	as	ADP
easat-4978	49	18	a	a	DET
easat-4978	49	19	set	set	NOUN
easat-4978	49	20	:	:	PUNCT
easat-4978	49	21	�	�	PROPN
easat-4978	49	22	̃	̃	PROPN
easat-4978	49	23	�	�	NOUN
easat-4978	49	24	=	=	SYM
easat-4978	49	25	{	{	PUNCT
easat-4978	49	26	(	(	PUNCT
easat-4978	49	27	𝑥	𝑥	NOUN
easat-4978	49	28	,	,	PUNCT
easat-4978	49	29	𝜇	𝜇	ADP
easat-4978	49	30	�	�	PROPN
easat-4978	49	31	̃	̃	NOUN
easat-4978	49	32	�	�	NOUN
easat-4978	49	33	(𝑥	(𝑥	NOUN
easat-4978	49	34	)	)	PUNCT
easat-4978	49	35	,	,	PUNCT
easat-4978	49	36	𝜈	𝜈	X
easat-4978	49	37	�	�	PROPN
easat-4978	49	38	̃	̃	PROPN
easat-4978	49	39	�	�	NOUN
easat-4978	49	40	(𝑥	(𝑥	NOUN
easat-4978	49	41	)	)	PUNCT
easat-4978	49	42	)	)	PUNCT
easat-4978	50	1	∣	∣	VERB
easat-4978	50	2	𝑥	𝑥	PRON
easat-4978	50	3	∈	∈	PROPN
easat-4978	50	4	𝑋	𝑋	PROPN
easat-4978	50	5	}	}	PUNCT
easat-4978	50	6	subject	subject	NOUN
easat-4978	50	7	to	to	ADP
easat-4978	50	8	the	the	DET
easat-4978	50	9	constraint	constraint	NOUN
easat-4978	50	10	:	:	PUNCT
easat-4978	50	11	0	0	NUM
easat-4978	50	12	≤	≤	NUM
easat-4978	50	13	𝜇	𝜇	ADP
easat-4978	50	14	�	�	PROPN
easat-4978	50	15	̃	̃	PROPN
easat-4978	50	16	�	�	NOUN
easat-4978	50	17	(𝑥	(𝑥	NOUN
easat-4978	50	18	)	)	PUNCT
easat-4978	51	1	+	+	CCONJ
easat-4978	51	2	𝜈	𝜈	DET
easat-4978	51	3	�	�	PROPN
easat-4978	51	4	̃	̃	PROPN
easat-4978	51	5	�	�	NOUN
easat-4978	51	6	(𝑥	(𝑥	NOUN
easat-4978	51	7	)	)	PUNCT
easat-4978	51	8	≤	≤	NUM
easat-4978	51	9	1	1	NUM
easat-4978	51	10	,	,	PUNCT
easat-4978	51	11	∀𝑥	∀𝑥	PROPN
easat-4978	51	12	∈	∈	PROPN
easat-4978	51	13	𝑋.	𝑋.	PROPN
easat-4978	51	14	where	where	SCONJ
easat-4978	51	15	:	:	PUNCT
easat-4978	51	16	•	•	ADP
easat-4978	51	17	𝜇	𝜇	ADP
easat-4978	51	18	�	�	PROPN
easat-4978	51	19	̃	̃	NOUN
easat-4978	51	20	�	�	NOUN
easat-4978	51	21	(𝑥	(𝑥	NOUN
easat-4978	51	22	)	)	PUNCT
easat-4978	51	23	is	be	AUX
easat-4978	51	24	the	the	DET
easat-4978	51	25	membership	membership	NOUN
easat-4978	51	26	function	function	NOUN
easat-4978	51	27	,	,	PUNCT
easat-4978	51	28	indicating	indicate	VERB
easat-4978	51	29	the	the	DET
easat-4978	51	30	degree	degree	NOUN
easat-4978	51	31	to	to	PART
easat-4978	51	32	which	which	PRON
easat-4978	51	33	𝑥	𝑥	PROPN
easat-4978	51	34	belongs	belong	VERB
easat-4978	51	35	to	to	ADP
easat-4978	51	36	�	�	PROPN
easat-4978	51	37	̃	̃	PROPN
easat-4978	51	38	�	�	PROPN
easat-4978	51	39	.	.	NOUN
easat-4978	51	40	•	•	NUM
easat-4978	51	41	𝜈	𝜈	X
easat-4978	51	42	�	�	PROPN
easat-4978	51	43	̃	̃	NOUN
easat-4978	51	44	�	�	NOUN
easat-4978	51	45	(𝑥	(𝑥	NOUN
easat-4978	51	46	)	)	PUNCT
easat-4978	51	47	is	be	AUX
easat-4978	51	48	the	the	DET
easat-4978	51	49	non	non	ADJ
easat-4978	51	50	-	-	ADJ
easat-4978	51	51	membership	membership	ADJ
easat-4978	51	52	function	function	NOUN
easat-4978	51	53	,	,	PUNCT
easat-4978	51	54	indicating	indicate	VERB
easat-4978	51	55	the	the	DET
easat-4978	51	56	degree	degree	NOUN
easat-4978	51	57	to	to	PART
easat-4978	51	58	which	which	PRON
easat-4978	51	59	𝑥	𝑥	NOUN
easat-4978	51	60	does	do	AUX
easat-4978	51	61	not	not	PART
easat-4978	51	62	belong	belong	VERB
easat-4978	51	63	to	to	ADP
easat-4978	51	64	�	�	PROPN
easat-4978	51	65	̃	̃	PROPN
easat-4978	51	66	�	�	PROPN
easat-4978	51	67	.	.	PROPN
easat-4978	51	68	•	•	NOUN
easat-4978	51	69	the	the	DET
easat-4978	51	70	uncertainty	uncertainty	NOUN
easat-4978	51	71	function	function	NOUN
easat-4978	51	72	is	be	AUX
easat-4978	51	73	defined	define	VERB
easat-4978	51	74	as	as	ADP
easat-4978	51	75	:	:	PUNCT
easat-4978	51	76	𝜋	𝜋	NOUN
easat-4978	51	77	�	�	PROPN
easat-4978	51	78	̃	̃	NOUN
easat-4978	51	79	�	�	NOUN
easat-4978	51	80	(𝑥	(𝑥	NOUN
easat-4978	51	81	)	)	PUNCT
easat-4978	51	82	=	=	SYM
easat-4978	52	1	1	1	NUM
easat-4978	52	2	−	−	PROPN
easat-4978	52	3	𝜇	𝜇	ADP
easat-4978	52	4	�	�	PROPN
easat-4978	52	5	̃	̃	PROPN
easat-4978	52	6	�	�	NOUN
easat-4978	52	7	(𝑥	(𝑥	NOUN
easat-4978	52	8	)	)	PUNCT
easat-4978	52	9	−	−	ADP
easat-4978	52	10	𝜈	𝜈	X
easat-4978	52	11	�	�	PROPN
easat-4978	52	12	̃	̃	PROPN
easat-4978	52	13	�	�	NOUN
easat-4978	52	14	(𝑥	(𝑥	NOUN
easat-4978	52	15	)	)	PUNCT
easat-4978	52	16	.	.	PUNCT
easat-4978	53	1	this	this	PRON
easat-4978	53	2	represents	represent	VERB
easat-4978	53	3	the	the	DET
easat-4978	53	4	degree	degree	NOUN
easat-4978	53	5	of	of	ADP
easat-4978	53	6	hesitation	hesitation	NOUN
easat-4978	53	7	or	or	CCONJ
easat-4978	53	8	uncertainty	uncertainty	NOUN
easat-4978	53	9	regarding	regard	VERB
easat-4978	53	10	the	the	DET
easat-4978	53	11	membership	membership	NOUN
easat-4978	53	12	of	of	ADP
easat-4978	53	13	x	x	PUNCT
easat-4978	53	14	in	in	ADP
easat-4978	53	15	ã.	ã.	PROPN
easat-4978	53	16	3	3	NUM
easat-4978	53	17	.	.	PUNCT
easat-4978	53	18	solution	solution	NOUN
easat-4978	53	19	of	of	ADP
easat-4978	53	20	heat	heat	NOUN
easat-4978	53	21	transfer	transfer	NOUN
easat-4978	53	22	equation	equation	NOUN
easat-4978	53	23	3.1	3.1	NUM
easat-4978	53	24	.	.	PUNCT
easat-4978	54	1	classical	classical	ADJ
easat-4978	54	2	heat	heat	NOUN
easat-4978	54	3	transfer	transfer	NOUN
easat-4978	54	4	equation	equation	NOUN
easat-4978	54	5	the	the	DET
easat-4978	54	6	classical	classical	ADJ
easat-4978	54	7	one	one	NUM
easat-4978	54	8	-	-	PUNCT
easat-4978	54	9	dimensional	dimensional	ADJ
easat-4978	54	10	heat	heat	NOUN
easat-4978	54	11	transfer	transfer	NOUN
easat-4978	54	12	equation	equation	NOUN
easat-4978	54	13	is	be	AUX
easat-4978	54	14	given	give	VERB
easat-4978	54	15	by	by	ADP
easat-4978	54	16	1925	1925	NUM
easat-4978	54	17	edelweiss	edelweiss	PROPN
easat-4978	54	18	applied	apply	VERB
easat-4978	54	19	science	science	NOUN
easat-4978	54	20	and	and	CCONJ
easat-4978	54	21	technology	technology	NOUN
easat-4978	54	22	issn	issn	PROPN
easat-4978	54	23	:	:	PUNCT
easat-4978	54	24	2576	2576	NUM
easat-4978	54	25	-	-	SYM
easat-4978	54	26	8484	8484	NUM
easat-4978	54	27	vol	vol	NOUN
easat-4978	54	28	.	.	PROPN
easat-4978	55	1	9	9	NUM
easat-4978	55	2	,	,	PUNCT
easat-4978	55	3	no	no	INTJ
easat-4978	55	4	.	.	NOUN
easat-4978	55	5	2	2	NUM
easat-4978	55	6	:	:	SYM
easat-4978	55	7	1923	1923	NUM
easat-4978	55	8	-	-	SYM
easat-4978	55	9	1930	1930	NUM
easat-4978	55	10	,	,	PUNCT
easat-4978	55	11	2025	2025	NUM
easat-4978	55	12	doi	doi	NOUN
easat-4978	55	13	:	:	PUNCT
easat-4978	55	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	55	15	©	©	ADP
easat-4978	55	16	2025	2025	NUM
easat-4978	55	17	by	by	ADP
easat-4978	55	18	the	the	DET
easat-4978	55	19	authors	author	NOUN
easat-4978	55	20	;	;	PUNCT
easat-4978	55	21	licensee	licensee	PROPN
easat-4978	55	22	learning	learning	NOUN
easat-4978	55	23	gate	gate	NOUN
easat-4978	55	24	{	{	PUNCT
easat-4978	55	25	𝜑0𝑐𝑡	𝜑0𝑐𝑡	PUNCT
easat-4978	55	26	𝜕𝑢	𝜕𝑢	NOUN
easat-4978	55	27	𝜕𝑡	𝜕𝑡	NOUN
easat-4978	55	28	=	=	X
easat-4978	55	29	𝑘0	𝑘0	X
easat-4978	55	30	𝜇	𝜇	ADP
easat-4978	55	31	𝜕	𝜕	NOUN
easat-4978	55	32	𝜕𝑥	𝜕𝑥	X
easat-4978	55	33	(	(	PUNCT
easat-4978	55	34	𝜕𝑢	𝜕𝑢	NOUN
easat-4978	55	35	𝜕𝑥	𝜕𝑥	NOUN
easat-4978	55	36	)	)	PUNCT
easat-4978	55	37	,	,	PUNCT
easat-4978	55	38	(	(	PUNCT
easat-4978	55	39	𝑥	𝑥	NOUN
easat-4978	55	40	,	,	PUNCT
easat-4978	55	41	𝑡	𝑡	NOUN
easat-4978	55	42	)	)	PUNCT
easat-4978	55	43	∈	∈	PROPN
easat-4978	55	44	(	(	PUNCT
easat-4978	55	45	0	0	NUM
easat-4978	55	46	,	,	PUNCT
easat-4978	55	47	𝐿	𝐿	PROPN
easat-4978	55	48	)	)	PUNCT
easat-4978	55	49	×	×	NOUN
easat-4978	55	50	(	(	PUNCT
easat-4978	55	51	0	0	NUM
easat-4978	55	52	,	,	PUNCT
easat-4978	55	53	𝑡0	𝑡0	PROPN
easat-4978	55	54	)	)	PUNCT
easat-4978	55	55	,	,	PUNCT
easat-4978	55	56	𝑢(𝑥	𝑢(𝑥	PROPN
easat-4978	55	57	,	,	PUNCT
easat-4978	55	58	0	0	NUM
easat-4978	55	59	)	)	PUNCT
easat-4978	55	60	=	=	SYM
easat-4978	56	1	𝑢0(𝑥	𝑢0(𝑥	PROPN
easat-4978	56	2	)	)	PUNCT
easat-4978	56	3	=	=	PUNCT
easat-4978	56	4	sin(𝜋𝑥	sin(𝜋𝑥	ADV
easat-4978	56	5	)	)	PUNCT
easat-4978	56	6	,	,	PUNCT
easat-4978	56	7	𝑥	𝑥	PRON
easat-4978	56	8	∈	∈	PROPN
easat-4978	56	9	(	(	PUNCT
easat-4978	56	10	0	0	NUM
easat-4978	56	11	,	,	PUNCT
easat-4978	56	12	𝐿	𝐿	PROPN
easat-4978	56	13	)	)	PUNCT
easat-4978	56	14	,	,	PUNCT
easat-4978	56	15	𝑢(0	𝑢(0	PROPN
easat-4978	56	16	,	,	PUNCT
easat-4978	56	17	𝑡	𝑡	PROPN
easat-4978	56	18	)	)	PUNCT
easat-4978	56	19	=	=	SYM
easat-4978	56	20	𝑢(1	𝑢(1	NOUN
easat-4978	56	21	,	,	PUNCT
easat-4978	56	22	𝑡	𝑡	NOUN
easat-4978	56	23	)	)	PUNCT
easat-4978	56	24	=	=	SYM
easat-4978	56	25	0	0	NUM
easat-4978	56	26	for	for	ADP
easat-4978	56	27	𝑡	𝑡	PROPN
easat-4978	56	28	∈	∈	PROPN
easat-4978	56	29	(	(	PUNCT
easat-4978	56	30	0	0	NUM
easat-4978	56	31	,	,	PUNCT
easat-4978	56	32	𝑡0	𝑡0	PROPN
easat-4978	56	33	)	)	PUNCT
easat-4978	57	1	where	where	SCONJ
easat-4978	57	2	:	:	PUNCT
easat-4978	57	3	•	•	NUM
easat-4978	57	4	𝜑0	𝜑0	NOUN
easat-4978	57	5	and	and	CCONJ
easat-4978	57	6	𝑐𝑡	𝑐𝑡	INTJ
easat-4978	57	7	are	be	AUX
easat-4978	57	8	material	material	ADJ
easat-4978	57	9	-	-	PUNCT
easat-4978	57	10	specific	specific	ADJ
easat-4978	57	11	parameters	parameter	NOUN
easat-4978	57	12	(	(	PUNCT
easat-4978	57	13	initial	initial	ADJ
easat-4978	57	14	thermal	thermal	ADJ
easat-4978	57	15	capacity	capacity	NOUN
easat-4978	57	16	and	and	CCONJ
easat-4978	57	17	specific	specific	ADJ
easat-4978	57	18	heat	heat	NOUN
easat-4978	57	19	)	)	PUNCT
easat-4978	57	20	,	,	PUNCT
easat-4978	57	21	•	•	NUM
easat-4978	57	22	𝑘0	𝑘0	X
easat-4978	57	23	is	be	AUX
easat-4978	57	24	the	the	DET
easat-4978	57	25	thermal	thermal	ADJ
easat-4978	57	26	conductivity	conductivity	NOUN
easat-4978	57	27	coefficient	coefficient	NOUN
easat-4978	57	28	,	,	PUNCT
easat-4978	57	29	•	•	ADP
easat-4978	57	30	𝜇	𝜇	ADP
easat-4978	57	31	is	be	AUX
easat-4978	57	32	the	the	DET
easat-4978	57	33	mass	mass	ADJ
easat-4978	57	34	density	density	NOUN
easat-4978	57	35	,	,	PUNCT
easat-4978	57	36	•	•	NUM
easat-4978	57	37	𝑢(𝑥	𝑢(𝑥	PROPN
easat-4978	57	38	,	,	PUNCT
easat-4978	57	39	𝑡	𝑡	NOUN
easat-4978	57	40	)	)	PUNCT
easat-4978	57	41	represents	represent	VERB
easat-4978	57	42	the	the	DET
easat-4978	57	43	temperature	temperature	NOUN
easat-4978	57	44	at	at	ADP
easat-4978	57	45	position	position	NOUN
easat-4978	57	46	𝑥	𝑥	NOUN
easat-4978	57	47	and	and	CCONJ
easat-4978	57	48	time	time	NOUN
easat-4978	57	49	𝑡	𝑡	NOUN
easat-4978	57	50	,	,	PUNCT
easat-4978	57	51	•	•	ADP
easat-4978	57	52	the	the	DET
easat-4978	57	53	initial	initial	ADJ
easat-4978	57	54	temperature	temperature	NOUN
easat-4978	57	55	distribution	distribution	NOUN
easat-4978	57	56	𝑢0(𝑦	𝑢0(𝑦	NOUN
easat-4978	57	57	)	)	PUNCT
easat-4978	57	58	=	=	SYM
easat-4978	57	59	sin(𝑥𝜋	sin(𝑥𝜋	NOUN
easat-4978	57	60	)	)	PUNCT
easat-4978	57	61	.	.	PUNCT
easat-4978	58	1	the	the	DET
easat-4978	58	2	analytical	analytical	ADJ
easat-4978	58	3	solution	solution	NOUN
easat-4978	58	4	for	for	ADP
easat-4978	58	5	the	the	DET
easat-4978	58	6	heat	heat	NOUN
easat-4978	58	7	equation	equation	NOUN
easat-4978	58	8	is	be	AUX
easat-4978	58	9	obtained	obtain	VERB
easat-4978	58	10	using	use	VERB
easat-4978	58	11	the	the	DET
easat-4978	58	12	method	method	NOUN
easat-4978	58	13	of	of	ADP
easat-4978	58	14	separation	separation	NOUN
easat-4978	58	15	of	of	ADP
easat-4978	58	16	variables	variable	NOUN
easat-4978	58	17	and	and	CCONJ
easat-4978	58	18	is	be	AUX
easat-4978	58	19	expressed	express	VERB
easat-4978	58	20	as	as	ADP
easat-4978	58	21	:	:	PUNCT
easat-4978	58	22	𝑢𝑑(𝑥	𝑢𝑑(𝑥	NUM
easat-4978	58	23	,	,	PUNCT
easat-4978	58	24	𝑡	𝑡	X
easat-4978	58	25	)	)	PUNCT
easat-4978	58	26	=	=	SYM
easat-4978	58	27	∫	∫	PROPN
easat-4978	58	28	𝑢0(𝑦)∑	𝑢0(𝑦)∑	PROPN
easat-4978	58	29	sin	sin	PROPN
easat-4978	58	30	(	(	PUNCT
easat-4978	58	31	𝑛𝜋𝑥	𝑛𝜋𝑥	NOUN
easat-4978	58	32	𝐿	𝐿	PROPN
easat-4978	58	33	)	)	PUNCT
easat-4978	58	34	sin	sin	NOUN
easat-4978	58	35	(	(	PUNCT
easat-4978	58	36	𝑛𝜋𝑦	𝑛𝜋𝑦	PROPN
easat-4978	58	37	𝐿	𝐿	PROPN
easat-4978	58	38	)	)	PUNCT
easat-4978	58	39	exp(−	exp(−	PROPN
easat-4978	58	40	𝑑𝑛2𝜋2	𝑑𝑛2𝜋2	PROPN
easat-4978	58	41	𝐿2	𝐿2	PROPN
easat-4978	58	42	𝑡	𝑡	NOUN
easat-4978	58	43	)	)	PUNCT
easat-4978	58	44	𝑑𝑦	𝑑𝑦	ADP
easat-4978	58	45	+	+	NOUN
easat-4978	58	46	∞	∞	PROPN
easat-4978	58	47	𝑛=1	𝑛=1	PRON
easat-4978	58	48	𝐿	𝐿	NOUN
easat-4978	58	49	0	0	NUM
easat-4978	58	50	where	where	SCONJ
easat-4978	58	51	𝑑	𝑑	NOUN
easat-4978	58	52	=	=	SYM
easat-4978	58	53	1.15	1.15	NUM
easat-4978	58	54	×	×	NOUN
easat-4978	58	55	10−4	10−4	NUM
easat-4978	58	56	𝑚/𝑠2	𝑚/𝑠2	ADV
easat-4978	58	57	represents	represent	VERB
easat-4978	58	58	the	the	DET
easat-4978	58	59	heat	heat	NOUN
easat-4978	58	60	diffusion	diffusion	NOUN
easat-4978	58	61	coefficient	coefficient	NOUN
easat-4978	58	62	.	.	PUNCT
easat-4978	59	1	given	give	VERB
easat-4978	59	2	that	that	SCONJ
easat-4978	59	3	u	u	NOUN
easat-4978	59	4	the	the	DET
easat-4978	59	5	solution	solution	NOUN
easat-4978	59	6	becomes	become	VERB
easat-4978	59	7	:	:	PUNCT
easat-4978	59	8	𝑢𝑑(𝑥	𝑢𝑑(𝑥	NUM
easat-4978	59	9	,	,	PUNCT
easat-4978	59	10	𝑡	𝑡	X
easat-4978	59	11	)	)	PUNCT
easat-4978	59	12	=	=	SYM
easat-4978	59	13	∫	∫	PROPN
easat-4978	59	14	sin(𝑥𝜋)∑	sin(𝑥𝜋)∑	PROPN
easat-4978	59	15	sin	sin	NOUN
easat-4978	59	16	(	(	PUNCT
easat-4978	59	17	𝑛𝜋𝑥	𝑛𝜋𝑥	NOUN
easat-4978	59	18	𝐿	𝐿	PROPN
easat-4978	59	19	)	)	PUNCT
easat-4978	59	20	sin	sin	NOUN
easat-4978	59	21	(	(	PUNCT
easat-4978	59	22	𝑛𝜋𝑦	𝑛𝜋𝑦	PROPN
easat-4978	59	23	𝐿	𝐿	PROPN
easat-4978	59	24	)	)	PUNCT
easat-4978	59	25	exp(−	exp(−	PROPN
easat-4978	59	26	𝑑𝑛2𝜋2	𝑑𝑛2𝜋2	PROPN
easat-4978	59	27	𝐿2	𝐿2	PROPN
easat-4978	59	28	𝑡	𝑡	NOUN
easat-4978	59	29	)	)	PUNCT
easat-4978	59	30	𝑑𝑦	𝑑𝑦	ADP
easat-4978	59	31	+	+	NOUN
easat-4978	59	32	∞	∞	PROPN
easat-4978	59	33	𝑛=1	𝑛=1	PRON
easat-4978	59	34	𝐿	𝐿	PROPN
easat-4978	59	35	0	0	NUM
easat-4978	59	36	the	the	DET
easat-4978	59	37	series	series	NOUN
easat-4978	59	38	solution	solution	NOUN
easat-4978	59	39	above	above	ADV
easat-4978	59	40	can	can	AUX
easat-4978	59	41	be	be	AUX
easat-4978	59	42	approximated	approximate	VERB
easat-4978	59	43	numerically	numerically	ADV
easat-4978	59	44	.	.	PUNCT
easat-4978	60	1	the	the	DET
easat-4978	60	2	computed	compute	VERB
easat-4978	60	3	result	result	NOUN
easat-4978	60	4	for	for	ADP
easat-4978	60	5	𝑢(𝑥	𝑢(𝑥	PROPN
easat-4978	60	6	,	,	PUNCT
easat-4978	60	7	𝑡	𝑡	PROPN
easat-4978	60	8	)	)	PUNCT
easat-4978	60	9	over	over	ADP
easat-4978	60	10	the	the	DET
easat-4978	60	11	interval	interval	NOUN
easat-4978	60	12	(	(	PUNCT
easat-4978	60	13	0	0	NUM
easat-4978	60	14	,	,	PUNCT
easat-4978	60	15	𝐿	𝐿	PROPN
easat-4978	60	16	)	)	PUNCT
easat-4978	60	17	×	×	NOUN
easat-4978	60	18	(	(	PUNCT
easat-4978	60	19	0	0	NUM
easat-4978	60	20	,	,	PUNCT
easat-4978	60	21	𝑡0	𝑡0	PROPN
easat-4978	60	22	)	)	PUNCT
easat-4978	60	23	is	be	AUX
easat-4978	60	24	visualized	visualize	VERB
easat-4978	60	25	in	in	ADP
easat-4978	60	26	figure	figure	NOUN
easat-4978	60	27	1	1	NUM
easat-4978	60	28	.	.	PUNCT
easat-4978	61	1	this	this	DET
easat-4978	61	2	figure	figure	NOUN
easat-4978	61	3	represents	represent	VERB
easat-4978	61	4	the	the	DET
easat-4978	61	5	temperature	temperature	NOUN
easat-4978	61	6	distribution	distribution	NOUN
easat-4978	61	7	over	over	ADP
easat-4978	61	8	time	time	NOUN
easat-4978	61	9	,	,	PUNCT
easat-4978	61	10	demonstrating	demonstrate	VERB
easat-4978	61	11	the	the	DET
easat-4978	61	12	typical	typical	ADJ
easat-4978	61	13	diffusion	diffusion	NOUN
easat-4978	61	14	process	process	NOUN
easat-4978	61	15	where	where	SCONJ
easat-4978	61	16	heat	heat	NOUN
easat-4978	61	17	gradually	gradually	ADV
easat-4978	61	18	spreads	spread	VERB
easat-4978	61	19	out	out	ADP
easat-4978	61	20	until	until	SCONJ
easat-4978	61	21	it	it	PRON
easat-4978	61	22	reaches	reach	VERB
easat-4978	61	23	a	a	DET
easat-4978	61	24	stable	stable	ADJ
easat-4978	61	25	state	state	NOUN
easat-4978	61	26	.	.	PUNCT
easat-4978	62	1	figure	figure	NOUN
easat-4978	62	2	1	1	NUM
easat-4978	62	3	.	.	PUNCT
easat-4978	63	1	heat	heat	NOUN
easat-4978	63	2	transfer	transfer	NOUN
easat-4978	63	3	simulation	simulation	NOUN
easat-4978	63	4	.	.	PUNCT
easat-4978	64	1	1926	1926	NUM
easat-4978	64	2	edelweiss	edelweiss	PROPN
easat-4978	64	3	applied	apply	VERB
easat-4978	64	4	science	science	NOUN
easat-4978	64	5	and	and	CCONJ
easat-4978	64	6	technology	technology	NOUN
easat-4978	64	7	issn	issn	PROPN
easat-4978	64	8	:	:	PUNCT
easat-4978	64	9	2576	2576	NUM
easat-4978	64	10	-	-	SYM
easat-4978	64	11	8484	8484	NUM
easat-4978	64	12	vol	vol	NOUN
easat-4978	64	13	.	.	PROPN
easat-4978	65	1	9	9	NUM
easat-4978	65	2	,	,	PUNCT
easat-4978	65	3	no	no	INTJ
easat-4978	65	4	.	.	NOUN
easat-4978	65	5	2	2	NUM
easat-4978	65	6	:	:	SYM
easat-4978	65	7	1923	1923	NUM
easat-4978	65	8	-	-	SYM
easat-4978	65	9	1930	1930	NUM
easat-4978	65	10	,	,	PUNCT
easat-4978	65	11	2025	2025	NUM
easat-4978	65	12	doi	doi	NOUN
easat-4978	65	13	:	:	PUNCT
easat-4978	65	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	65	15	©	©	ADP
easat-4978	65	16	2025	2025	NUM
easat-4978	65	17	by	by	ADP
easat-4978	65	18	the	the	DET
easat-4978	65	19	authors	author	NOUN
easat-4978	65	20	;	;	PUNCT
easat-4978	65	21	licensee	licensee	PROPN
easat-4978	65	22	learning	learning	NOUN
easat-4978	65	23	gate	gate	NOUN
easat-4978	65	24	3.2	3.2	NUM
easat-4978	65	25	.	.	PUNCT
easat-4978	66	1	fuzzy	fuzzy	ADJ
easat-4978	66	2	solution	solution	NOUN
easat-4978	66	3	the	the	DET
easat-4978	66	4	fuzzy	fuzzy	ADJ
easat-4978	66	5	solution	solution	NOUN
easat-4978	66	6	is	be	AUX
easat-4978	66	7	obtained	obtain	VERB
easat-4978	66	8	by	by	ADP
easat-4978	66	9	considering	consider	VERB
easat-4978	66	10	the	the	DET
easat-4978	66	11	coefficient	coefficient	NOUN
easat-4978	66	12	in	in	ADP
easat-4978	66	13	the	the	DET
easat-4978	66	14	partial	partial	ADJ
easat-4978	66	15	differential	differential	NOUN
easat-4978	66	16	equation	equation	NOUN
easat-4978	66	17	as	as	ADP
easat-4978	66	18	a	a	DET
easat-4978	66	19	fuzzy	fuzzy	ADJ
easat-4978	66	20	number	number	NOUN
easat-4978	66	21	𝐷	𝐷	NOUN
easat-4978	66	22	with	with	ADP
easat-4978	66	23	level	level	NOUN
easat-4978	66	24	zero	zero	NUM
easat-4978	66	25	,	,	PUNCT
easat-4978	66	26	denoted	denote	VERB
easat-4978	66	27	as	as	ADP
easat-4978	66	28	[	[	X
easat-4978	66	29	𝐷]0	𝐷]0	NOUN
easat-4978	66	30	.	.	PUNCT
easat-4978	67	1	here	here	ADV
easat-4978	67	2	,	,	PUNCT
easat-4978	67	3	(	(	PUNCT
easat-4978	67	4	𝑥	𝑥	NOUN
easat-4978	67	5	,	,	PUNCT
easat-4978	67	6	𝑡	𝑡	PROPN
easat-4978	67	7	)	)	PUNCT
easat-4978	67	8	represents	represent	VERB
easat-4978	67	9	the	the	DET
easat-4978	67	10	domain	domain	NOUN
easat-4978	67	11	of	of	ADP
easat-4978	67	12	the	the	DET
easat-4978	67	13	partial	partial	ADJ
easat-4978	67	14	differential	differential	NOUN
easat-4978	67	15	equation	equation	NOUN
easat-4978	67	16	,	,	PUNCT
easat-4978	67	17	and	and	CCONJ
easat-4978	67	18	the	the	DET
easat-4978	67	19	function	function	NOUN
easat-4978	67	20	fungsi	fungsi	PROPN
easat-4978	67	21	𝑆(𝑥,𝑡	𝑆(𝑥,𝑡	PROPN
easat-4978	67	22	):	):	PUNCT
easat-4978	68	1	[	[	X
easat-4978	68	2	𝐷	𝐷	NOUN
easat-4978	68	3	]	]	PUNCT
easat-4978	68	4	0	0	NUM
easat-4978	69	1	→	→	SYM
easat-4978	69	2	ℝ	ℝ	PROPN
easat-4978	69	3	provides	provide	VERB
easat-4978	69	4	the	the	DET
easat-4978	69	5	analytic	analytic	ADJ
easat-4978	69	6	solution	solution	NOUN
easat-4978	69	7	value	value	NOUN
easat-4978	69	8	𝑆(𝑥,𝑡)(𝑑	𝑆(𝑥,𝑡)(𝑑	PROPN
easat-4978	69	9	)	)	PUNCT
easat-4978	69	10	at	at	ADP
easat-4978	69	11	point	point	NOUN
easat-4978	69	12	(	(	PUNCT
easat-4978	69	13	𝑥	𝑥	NOUN
easat-4978	69	14	,	,	PUNCT
easat-4978	69	15	𝑡	𝑡	NOUN
easat-4978	69	16	)	)	PUNCT
easat-4978	69	17	for	for	ADP
easat-4978	69	18	each	each	DET
easat-4978	69	19	parameter	parameter	NOUN
easat-4978	69	20	𝑑	𝑑	PROPN
easat-4978	69	21	∈	∈	PROPN
easat-4978	70	1	[	[	X
easat-4978	70	2	𝐷]0	𝐷]0	X
easat-4978	70	3	[	[	X
easat-4978	70	4	1	1	NUM
easat-4978	70	5	]	]	PUNCT
easat-4978	70	6	.	.	PUNCT
easat-4978	71	1	let	let	AUX
easat-4978	71	2	�	�	SYM
easat-4978	71	3	̂	̂	VERB
easat-4978	71	4	�	�	NOUN
easat-4978	71	5	(𝑥,𝑡)(𝐷	(𝑥,𝑡)(𝐷	NOUN
easat-4978	71	6	)	)	PUNCT
easat-4978	71	7	be	be	VERB
easat-4978	71	8	the	the	DET
easat-4978	71	9	extension	extension	NOUN
easat-4978	71	10	of	of	ADP
easat-4978	71	11	𝑆(𝑥,𝑡)(𝑑	𝑆(𝑥,𝑡)(𝑑	PROPN
easat-4978	71	12	)	)	PUNCT
easat-4978	71	13	for	for	ADP
easat-4978	71	14	𝑑	𝑑	PROPN
easat-4978	71	15	∈	∈	PROPN
easat-4978	72	1	[	[	X
easat-4978	72	2	𝐷]0	𝐷]0	X
easat-4978	72	3	using	use	VERB
easat-4978	72	4	zadeh	zadeh	PROPN
easat-4978	72	5	’s	’s	PART
easat-4978	72	6	extension	extension	NOUN
easat-4978	72	7	principle	principle	NOUN
easat-4978	72	8	.	.	PUNCT
easat-4978	73	1	the	the	DET
easat-4978	73	2	fuzzy	fuzzy	ADJ
easat-4978	73	3	solution	solution	NOUN
easat-4978	73	4	is	be	AUX
easat-4978	73	5	then	then	ADV
easat-4978	73	6	defined	define	VERB
easat-4978	73	7	as	as	ADP
easat-4978	73	8	:	:	PUNCT
easat-4978	73	9	⋃	⋃	PROPN
easat-4978	73	10	�	�	PROPN
easat-4978	73	11	̂	̂	SYM
easat-4978	73	12	�	�	NOUN
easat-4978	73	13	(𝑥,𝑡)(𝐷),(𝑥,𝑡	(𝑥,𝑡)(𝐷),(𝑥,𝑡	NOUN
easat-4978	73	14	)	)	PUNCT
easat-4978	73	15	this	this	PRON
easat-4978	73	16	represents	represent	VERB
easat-4978	73	17	the	the	DET
easat-4978	73	18	fuzzification	fuzzification	NOUN
easat-4978	73	19	of	of	ADP
easat-4978	73	20	the	the	DET
easat-4978	73	21	analytic	analytic	ADJ
easat-4978	73	22	solution	solution	NOUN
easat-4978	73	23	through	through	ADP
easat-4978	73	24	zadeh	zadeh	PROPN
easat-4978	73	25	’s	’s	PART
easat-4978	73	26	extension	extension	NOUN
easat-4978	73	27	.	.	PUNCT
easat-4978	74	1	subsequently	subsequently	ADV
easat-4978	74	2	,	,	PUNCT
easat-4978	74	3	𝐷	𝐷	PROPN
easat-4978	74	4	is	be	AUX
easat-4978	74	5	assumed	assume	VERB
easat-4978	74	6	to	to	PART
easat-4978	74	7	be	be	AUX
easat-4978	74	8	a	a	DET
easat-4978	74	9	triangular	triangular	NOUN
easat-4978	74	10	fuzzy	fuzzy	ADJ
easat-4978	74	11	number	number	NOUN
easat-4978	74	12	[	[	X
easat-4978	74	13	1	1	NUM
easat-4978	74	14	]	]	PUNCT
easat-4978	74	15	.	.	PUNCT
easat-4978	75	1	in	in	ADP
easat-4978	75	2	this	this	DET
easat-4978	75	3	approach	approach	NOUN
easat-4978	75	4	,	,	PUNCT
easat-4978	75	5	the	the	DET
easat-4978	75	6	coefficient	coefficient	NOUN
easat-4978	75	7	is	be	AUX
easat-4978	75	8	not	not	PART
easat-4978	75	9	only	only	ADV
easat-4978	75	10	treated	treat	VERB
easat-4978	75	11	as	as	ADP
easat-4978	75	12	a	a	DET
easat-4978	75	13	triangular	triangular	NOUN
easat-4978	75	14	fuzzy	fuzzy	ADJ
easat-4978	75	15	number	number	NOUN
easat-4978	75	16	but	but	CCONJ
easat-4978	75	17	also	also	ADV
easat-4978	75	18	further	far	ADV
easat-4978	75	19	extended	extend	VERB
easat-4978	75	20	and	and	CCONJ
easat-4978	75	21	modeled	model	VERB
easat-4978	75	22	as	as	ADP
easat-4978	75	23	an	an	DET
easat-4978	75	24	intuitionistic	intuitionistic	ADJ
easat-4978	75	25	triangular	triangular	NOUN
easat-4978	75	26	fuzzy	fuzzy	ADJ
easat-4978	75	27	number	number	NOUN
easat-4978	75	28	.	.	PUNCT
easat-4978	76	1	mathematically	mathematically	ADV
easat-4978	76	2	,	,	PUNCT
easat-4978	76	3	an	an	DET
easat-4978	76	4	intuitionistic	intuitionistic	ADJ
easat-4978	76	5	triangular	triangular	NOUN
easat-4978	76	6	fuzzy	fuzzy	ADJ
easat-4978	76	7	number	number	NOUN
easat-4978	76	8	is	be	AUX
easat-4978	76	9	represented	represent	VERB
easat-4978	76	10	as	as	ADP
easat-4978	76	11	a	a	DET
easat-4978	76	12	tuple	tuple	NOUN
easat-4978	76	13	:	:	PUNCT
easat-4978	76	14	𝐷	𝐷	NOUN
easat-4978	76	15	=	=	SYM
easat-4978	76	16	(	(	PUNCT
easat-4978	76	17	(	(	PUNCT
easat-4978	76	18	𝑎	𝑎	X
easat-4978	76	19	,	,	PUNCT
easat-4978	76	20	𝑏	𝑏	NOUN
easat-4978	76	21	,	,	PUNCT
easat-4978	76	22	𝑐	𝑐	NOUN
easat-4978	76	23	)	)	PUNCT
easat-4978	76	24	,	,	PUNCT
easat-4978	76	25	𝜇𝐷	𝜇𝐷	PROPN
easat-4978	76	26	,	,	PUNCT
easat-4978	76	27	𝜈𝐷	𝜈𝐷	NOUN
easat-4978	76	28	)	)	PUNCT
easat-4978	76	29	where	where	SCONJ
easat-4978	76	30	:	:	PUNCT
easat-4978	76	31	•	•	X
easat-4978	76	32	(	(	PUNCT
easat-4978	76	33	𝑎	𝑎	X
easat-4978	76	34	,	,	PUNCT
easat-4978	76	35	𝑏	𝑏	NOUN
easat-4978	76	36	,	,	PUNCT
easat-4978	76	37	𝑐	𝑐	NOUN
easat-4978	76	38	)	)	PUNCT
easat-4978	76	39	are	be	AUX
easat-4978	76	40	the	the	DET
easat-4978	76	41	parameters	parameter	NOUN
easat-4978	76	42	of	of	ADP
easat-4978	76	43	the	the	DET
easat-4978	76	44	triangular	triangular	NOUN
easat-4978	76	45	fuzzy	fuzzy	ADJ
easat-4978	76	46	number	number	NOUN
easat-4978	76	47	,	,	PUNCT
easat-4978	76	48	with	with	ADP
easat-4978	76	49	𝑎	𝑎	NOUN
easat-4978	76	50	≤	≤	NUM
easat-4978	76	51	𝑏	𝑏	DET
easat-4978	76	52	≤	≤	NUM
easat-4978	76	53	𝑐.	𝑐.	NOUN
easat-4978	76	54	•	•	ADJ
easat-4978	76	55	𝜇𝐷	𝜇𝐷	NOUN
easat-4978	76	56	:	:	PUNCT
easat-4978	77	1	[	[	X
easat-4978	77	2	𝑎	𝑎	X
easat-4978	77	3	,	,	PUNCT
easat-4978	77	4	𝑐	𝑐	NOUN
easat-4978	77	5	]	]	X
easat-4978	77	6	→	→	X
easat-4978	77	7	[	[	X
easat-4978	77	8	0,1	0,1	NUM
easat-4978	77	9	]	]	PUNCT
easat-4978	77	10	is	be	AUX
easat-4978	77	11	the	the	DET
easat-4978	77	12	membership	membership	NOUN
easat-4978	77	13	function	function	NOUN
easat-4978	77	14	.	.	PUNCT
easat-4978	78	1	•	•	NUM
easat-4978	78	2	𝜈𝐷	𝜈𝐷	NOUN
easat-4978	78	3	:	:	PUNCT
easat-4978	79	1	[	[	X
easat-4978	79	2	𝑎	𝑎	X
easat-4978	79	3	,	,	PUNCT
easat-4978	79	4	𝑐	𝑐	NOUN
easat-4978	79	5	]	]	X
easat-4978	79	6	→	→	X
easat-4978	79	7	[	[	X
easat-4978	79	8	0,1	0,1	NUM
easat-4978	79	9	]	]	PUNCT
easat-4978	79	10	is	be	AUX
easat-4978	79	11	the	the	DET
easat-4978	79	12	non	non	ADJ
easat-4978	79	13	-	-	ADJ
easat-4978	79	14	membership	membership	ADJ
easat-4978	79	15	function	function	NOUN
easat-4978	79	16	,	,	PUNCT
easat-4978	79	17	satisfying	satisfy	VERB
easat-4978	79	18	0	0	NUM
easat-4978	79	19	≤	≤	NUM
easat-4978	79	20	𝜇𝐷(𝑥	𝜇𝐷(𝑥	PROPN
easat-4978	79	21	)	)	PUNCT
easat-4978	79	22	+	+	NUM
easat-4978	79	23	𝜈𝐷(𝑥	𝜈𝐷(𝑥	ADJ
easat-4978	79	24	)	)	PUNCT
easat-4978	79	25	≤	≤	NOUN
easat-4978	79	26	1	1	NUM
easat-4978	79	27	for	for	ADP
easat-4978	79	28	all	all	DET
easat-4978	79	29	𝑥	𝑥	DET
easat-4978	79	30	∈	∈	PROPN
easat-4978	80	1	[	[	X
easat-4978	80	2	𝑎	𝑎	X
easat-4978	80	3	,	,	PUNCT
easat-4978	80	4	𝑐	𝑐	NOUN
easat-4978	80	5	]	]	X
easat-4978	80	6	.	.	PUNCT
easat-4978	81	1	to	to	PART
easat-4978	81	2	apply	apply	VERB
easat-4978	81	3	fuzzification	fuzzification	NOUN
easat-4978	81	4	in	in	ADP
easat-4978	81	5	a	a	DET
easat-4978	81	6	real	real	ADJ
easat-4978	81	7	-	-	PUNCT
easat-4978	81	8	world	world	NOUN
easat-4978	81	9	scenario	scenario	NOUN
easat-4978	81	10	,	,	PUNCT
easat-4978	81	11	we	we	PRON
easat-4978	81	12	consider	consider	VERB
easat-4978	81	13	copper	copper	NOUN
easat-4978	81	14	as	as	ADP
easat-4978	81	15	the	the	DET
easat-4978	81	16	material	material	NOUN
easat-4978	81	17	,	,	PUNCT
easat-4978	81	18	where	where	SCONJ
easat-4978	81	19	the	the	DET
easat-4978	81	20	thermal	thermal	ADJ
easat-4978	81	21	conductivity	conductivity	NOUN
easat-4978	81	22	is	be	AUX
easat-4978	81	23	modeled	model	VERB
easat-4978	81	24	as	as	ADP
easat-4978	81	25	an	an	DET
easat-4978	81	26	intuitionistic	intuitionistic	ADJ
easat-4978	81	27	fuzzy	fuzzy	ADJ
easat-4978	81	28	triangular	triangular	NOUN
easat-4978	81	29	number	number	NOUN
easat-4978	81	30	.	.	PUNCT
easat-4978	82	1	the	the	DET
easat-4978	82	2	nominal	nominal	ADJ
easat-4978	82	3	thermal	thermal	ADJ
easat-4978	82	4	conductivity	conductivity	NOUN
easat-4978	82	5	diffusivity	diffusivity	NOUN
easat-4978	82	6	of	of	ADP
easat-4978	82	7	copper	copper	NOUN
easat-4978	82	8	at	at	ADP
easat-4978	82	9	room	room	NOUN
easat-4978	82	10	temperature	temperature	NOUN
easat-4978	82	11	is	be	AUX
easat-4978	82	12	approximately	approximately	ADV
easat-4978	82	13	𝑑	𝑑	ADP
easat-4978	82	14	=	=	SYM
easat-4978	82	15	1.11	1.11	NUM
easat-4978	82	16	×	×	NOUN
easat-4978	82	17	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NOUN
easat-4978	82	18	,	,	PUNCT
easat-4978	82	19	with	with	ADP
easat-4978	82	20	slight	slight	ADJ
easat-4978	82	21	variations	variation	NOUN
easat-4978	82	22	depending	depend	VERB
easat-4978	82	23	on	on	ADP
easat-4978	82	24	purity	purity	NOUN
easat-4978	82	25	and	and	CCONJ
easat-4978	82	26	temperature	temperature	NOUN
easat-4978	82	27	.	.	PUNCT
easat-4978	83	1	we	we	PRON
easat-4978	83	2	define	define	VERB
easat-4978	83	3	the	the	DET
easat-4978	83	4	triangular	triangular	NOUN
easat-4978	83	5	intuitionistic	intuitionistic	ADJ
easat-4978	83	6	fuzzy	fuzzy	ADJ
easat-4978	83	7	number	number	NOUN
easat-4978	83	8	for	for	ADP
easat-4978	83	9	copper	copper	NOUN
easat-4978	83	10	’s	’s	PART
easat-4978	83	11	thermal	thermal	ADJ
easat-4978	83	12	conductivity	conductivity	NOUN
easat-4978	83	13	as	as	ADP
easat-4978	83	14	:	:	PUNCT
easat-4978	83	15	where	where	SCONJ
easat-4978	83	16	:	:	PUNCT
easat-4978	83	17	•	•	NUM
easat-4978	83	18	1.05	1.05	NUM
easat-4978	83	19	×	×	NOUN
easat-4978	83	20	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NOUN
easat-4978	83	21	(	(	PUNCT
easat-4978	83	22	lower	low	ADJ
easat-4978	83	23	bound	bind	VERB
easat-4978	83	24	)	)	PUNCT
easat-4978	83	25	•	•	NUM
easat-4978	83	26	1.11	1.11	NUM
easat-4978	83	27	×	×	NOUN
easat-4978	83	28	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NOUN
easat-4978	83	29	(	(	PUNCT
easat-4978	83	30	modal	modal	NOUN
easat-4978	83	31	value	value	NOUN
easat-4978	83	32	)	)	PUNCT
easat-4978	83	33	•	•	NOUN
easat-4978	83	34	1.18	1.18	NUM
easat-4978	83	35	×	×	NOUN
easat-4978	83	36	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NOUN
easat-4978	83	37	(	(	PUNCT
easat-4978	83	38	upper	upper	ADJ
easat-4978	83	39	bound	bind	VERB
easat-4978	83	40	)	)	PUNCT
easat-4978	83	41	•	•	ADP
easat-4978	83	42	the	the	DET
easat-4978	83	43	membership	membership	NOUN
easat-4978	83	44	function	function	NOUN
easat-4978	83	45	is	be	AUX
easat-4978	83	46	defined	define	VERB
easat-4978	83	47	as	as	ADP
easat-4978	83	48	:	:	PUNCT
easat-4978	83	49	𝜇𝑑	𝜇𝑑	X
easat-4978	83	50	=	=	SYM
easat-4978	83	51	0.85	0.85	NUM
easat-4978	83	52	•	•	NUM
easat-4978	83	53	the	the	DET
easat-4978	83	54	non	non	ADJ
easat-4978	83	55	-	-	ADJ
easat-4978	83	56	membership	membership	ADJ
easat-4978	83	57	function	function	NOUN
easat-4978	83	58	𝑣𝑑	𝑣𝑑	ADP
easat-4978	83	59	=	=	NOUN
easat-4978	83	60	0.10	0.10	NUM
easat-4978	83	61	intuitionistic	intuitionistic	ADJ
easat-4978	83	62	fuzzy	fuzzy	ADJ
easat-4978	83	63	thermal	thermal	ADJ
easat-4978	83	64	diffusivity	diffusivity	NOUN
easat-4978	83	65	as	as	ADP
easat-4978	83	66	.	.	PUNCT
easat-4978	83	67	𝑑∗	𝑑∗	NOUN
easat-4978	83	68	=	=	SYM
easat-4978	83	69	(	(	PUNCT
easat-4978	83	70	1.05	1.05	NUM
easat-4978	83	71	,	,	PUNCT
easat-4978	83	72	1.11,1.18	1.11,1.18	NUM
easat-4978	83	73	;	;	PUNCT
easat-4978	83	74	𝜇𝑑	𝜇𝑑	ADP
easat-4978	83	75	=	=	X
easat-4978	83	76	0.85	0.85	NUM
easat-4978	83	77	,	,	PUNCT
easat-4978	83	78	𝑣𝑑	𝑣𝑑	ADP
easat-4978	83	79	=	=	NOUN
easat-4978	83	80	0.10	0.10	NUM
easat-4978	83	81	)	)	PUNCT
easat-4978	83	82	this	this	DET
easat-4978	83	83	representation	representation	NOUN
easat-4978	83	84	allows	allow	VERB
easat-4978	83	85	uncertainty	uncertainty	NOUN
easat-4978	83	86	in	in	ADP
easat-4978	83	87	the	the	DET
easat-4978	83	88	thermal	thermal	ADJ
easat-4978	83	89	conductivity	conductivity	NOUN
easat-4978	83	90	of	of	ADP
easat-4978	83	91	copper	copper	NOUN
easat-4978	83	92	to	to	PART
easat-4978	83	93	be	be	AUX
easat-4978	83	94	incorporated	incorporate	VERB
easat-4978	83	95	into	into	ADP
easat-4978	83	96	the	the	DET
easat-4978	83	97	heat	heat	NOUN
easat-4978	83	98	transfer	transfer	NOUN
easat-4978	83	99	model	model	NOUN
easat-4978	83	100	,	,	PUNCT
easat-4978	83	101	making	make	VERB
easat-4978	83	102	the	the	DET
easat-4978	83	103	solution	solution	NOUN
easat-4978	83	104	more	more	ADV
easat-4978	83	105	robust	robust	ADJ
easat-4978	83	106	under	under	ADP
easat-4978	83	107	real	real	ADJ
easat-4978	83	108	-	-	PUNCT
easat-4978	83	109	world	world	NOUN
easat-4978	83	110	conditions	condition	NOUN
easat-4978	83	111	.	.	PUNCT
easat-4978	84	1	thus	thus	ADV
easat-4978	84	2	,	,	PUNCT
easat-4978	84	3	the	the	DET
easat-4978	84	4	fuzzy	fuzzy	ADJ
easat-4978	84	5	solution	solution	NOUN
easat-4978	84	6	of	of	ADP
easat-4978	84	7	the	the	DET
easat-4978	84	8	heat	heat	NOUN
easat-4978	84	9	equation	equation	NOUN
easat-4978	84	10	is	be	AUX
easat-4978	84	11	.	.	PUNCT
easat-4978	84	12	𝑢𝑑(𝑥	𝑢𝑑(𝑥	PROPN
easat-4978	84	13	,	,	PUNCT
easat-4978	84	14	𝑡	𝑡	X
easat-4978	84	15	)	)	PUNCT
easat-4978	84	16	=	=	SYM
easat-4978	84	17	∫	∫	PROPN
easat-4978	84	18	sin(𝑥𝜋)∑	sin(𝑥𝜋)∑	PROPN
easat-4978	84	19	sin	sin	NOUN
easat-4978	84	20	(	(	PUNCT
easat-4978	84	21	𝑛𝜋𝑥	𝑛𝜋𝑥	NOUN
easat-4978	84	22	𝐿	𝐿	PROPN
easat-4978	84	23	)	)	PUNCT
easat-4978	84	24	sin	sin	NOUN
easat-4978	84	25	(	(	PUNCT
easat-4978	84	26	𝑛𝜋𝑦	𝑛𝜋𝑦	PROPN
easat-4978	84	27	𝐿	𝐿	PROPN
easat-4978	84	28	)	)	PUNCT
easat-4978	85	1	exp(−	exp(−	PROPN
easat-4978	86	1	𝑑∗𝑛2𝜋2	𝑑∗𝑛2𝜋2	PROPN
easat-4978	86	2	𝐿2	𝐿2	PROPN
easat-4978	86	3	𝑡	𝑡	PROPN
easat-4978	86	4	)	)	PUNCT
easat-4978	87	1	𝑑𝑦	𝑑𝑦	ADP
easat-4978	87	2	+	+	NOUN
easat-4978	87	3	∞	∞	PROPN
easat-4978	87	4	𝑛=1	𝑛=1	PRON
easat-4978	87	5	𝐿	𝐿	NOUN
easat-4978	87	6	0	0	NUM
easat-4978	87	7	4	4	NUM
easat-4978	87	8	.	.	PUNCT
easat-4978	87	9	defuzzification	defuzzification	NOUN
easat-4978	87	10	methods	method	NOUN
easat-4978	87	11	defuzzification	defuzzification	NOUN
easat-4978	87	12	is	be	AUX
easat-4978	87	13	the	the	DET
easat-4978	87	14	process	process	NOUN
easat-4978	87	15	of	of	ADP
easat-4978	87	16	converting	convert	VERB
easat-4978	87	17	an	an	DET
easat-4978	87	18	intuitionistic	intuitionistic	ADJ
easat-4978	87	19	fuzzy	fuzzy	ADJ
easat-4978	87	20	number	number	NOUN
easat-4978	87	21	into	into	ADP
easat-4978	87	22	a	a	DET
easat-4978	87	23	crisp	crisp	ADJ
easat-4978	87	24	value	value	NOUN
easat-4978	87	25	for	for	ADP
easat-4978	87	26	practical	practical	ADJ
easat-4978	87	27	applications	application	NOUN
easat-4978	87	28	.	.	PUNCT
easat-4978	88	1	in	in	ADP
easat-4978	88	2	this	this	DET
easat-4978	88	3	section	section	NOUN
easat-4978	88	4	,	,	PUNCT
easat-4978	88	5	we	we	PRON
easat-4978	88	6	describe	describe	VERB
easat-4978	88	7	three	three	NUM
easat-4978	88	8	widely	widely	ADV
easat-4978	88	9	used	use	VERB
easat-4978	88	10	defuzzification	defuzzification	NOUN
easat-4978	88	11	techniques	technique	NOUN
easat-4978	88	12	applied	apply	VERB
easat-4978	88	13	to	to	ADP
easat-4978	88	14	the	the	DET
easat-4978	88	15	intuitionistic	intuitionistic	ADJ
easat-4978	88	16	fuzzy	fuzzy	ADJ
easat-4978	88	17	thermal	thermal	ADJ
easat-4978	88	18	diffusivity	diffusivity	NOUN
easat-4978	88	19	.	.	PUNCT
easat-4978	89	1	4.1	4.1	NUM
easat-4978	89	2	.	.	PUNCT
easat-4978	89	3	weighted	weight	VERB
easat-4978	89	4	average	average	ADJ
easat-4978	89	5	defuzzification	defuzzification	NOUN
easat-4978	89	6	the	the	DET
easat-4978	89	7	weighted	weighted	ADJ
easat-4978	89	8	average	average	ADJ
easat-4978	89	9	method	method	NOUN
easat-4978	89	10	calculates	calculate	VERB
easat-4978	89	11	a	a	DET
easat-4978	89	12	crisp	crisp	ADJ
easat-4978	89	13	value	value	NOUN
easat-4978	89	14	based	base	VERB
easat-4978	89	15	on	on	ADP
easat-4978	89	16	a	a	DET
easat-4978	89	17	weighting	weighting	NOUN
easat-4978	89	18	factor	factor	NOUN
easat-4978	89	19	λ\lambda	λ\lambda	NOUN
easat-4978	89	20	derived	derive	VERB
easat-4978	89	21	from	from	ADP
easat-4978	89	22	the	the	DET
easat-4978	89	23	intuitionistic	intuitionistic	ADJ
easat-4978	89	24	fuzzy	fuzzy	ADJ
easat-4978	89	25	membership	membership	NOUN
easat-4978	89	26	and	and	CCONJ
easat-4978	89	27	non	non	ADJ
easat-4978	89	28	-	-	ADJ
easat-4978	89	29	membership	membership	ADJ
easat-4978	89	30	degrees	degree	NOUN
easat-4978	89	31	.	.	PUNCT
easat-4978	90	1	the	the	DET
easat-4978	90	2	formula	formula	NOUN
easat-4978	90	3	is	be	AUX
easat-4978	90	4	:	:	PUNCT
easat-4978	90	5	1927	1927	NUM
easat-4978	90	6	edelweiss	edelweiss	PROPN
easat-4978	90	7	applied	apply	VERB
easat-4978	90	8	science	science	NOUN
easat-4978	90	9	and	and	CCONJ
easat-4978	90	10	technology	technology	NOUN
easat-4978	90	11	issn	issn	PROPN
easat-4978	90	12	:	:	PUNCT
easat-4978	90	13	2576	2576	NUM
easat-4978	90	14	-	-	SYM
easat-4978	90	15	8484	8484	NUM
easat-4978	90	16	vol	vol	NOUN
easat-4978	90	17	.	.	PROPN
easat-4978	91	1	9	9	NUM
easat-4978	91	2	,	,	PUNCT
easat-4978	91	3	no	no	INTJ
easat-4978	91	4	.	.	NOUN
easat-4978	91	5	2	2	NUM
easat-4978	91	6	:	:	SYM
easat-4978	91	7	1923	1923	NUM
easat-4978	91	8	-	-	SYM
easat-4978	91	9	1930	1930	NUM
easat-4978	91	10	,	,	PUNCT
easat-4978	91	11	2025	2025	NUM
easat-4978	91	12	doi	doi	NOUN
easat-4978	91	13	:	:	PUNCT
easat-4978	91	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	91	15	©	©	ADP
easat-4978	91	16	2025	2025	NUM
easat-4978	91	17	by	by	ADP
easat-4978	91	18	the	the	DET
easat-4978	91	19	authors	author	NOUN
easat-4978	91	20	;	;	PUNCT
easat-4978	92	1	licensee	licensee	PROPN
easat-4978	92	2	learning	learning	NOUN
easat-4978	92	3	gate	gate	NOUN
easat-4978	92	4	𝑑∗	𝑑∗	PROPN
easat-4978	92	5	=	=	SYM
easat-4978	92	6	𝑑𝐿	𝑑𝐿	PROPN
easat-4978	92	7	+	+	CCONJ
easat-4978	92	8	𝜆𝑑𝑀	𝜆𝑑𝑀	NOUN
easat-4978	92	9	+	+	CCONJ
easat-4978	92	10	𝑑𝑈	𝑑𝑈	VERB
easat-4978	92	11	𝜆	𝜆	PRON
easat-4978	92	12	+	+	ADJ
easat-4978	92	13	2	2	NUM
easat-4978	92	14	,	,	PUNCT
easat-4978	92	15	𝜆	𝜆	NOUN
easat-4978	92	16	=	=	PUNCT
easat-4978	92	17	𝜇𝑑	𝜇𝑑	ADP
easat-4978	92	18	1	1	NUM
easat-4978	92	19	−	−	NOUN
easat-4978	92	20	𝑣𝑑	𝑣𝑑	ADP
easat-4978	92	21	.	.	PUNCT
easat-4978	93	1	substituting	substitute	VERB
easat-4978	93	2	the	the	DET
easat-4978	93	3	given	give	VERB
easat-4978	93	4	values	value	NOUN
easat-4978	93	5	for	for	ADP
easat-4978	93	6	thermal	thermal	ADJ
easat-4978	93	7	diffusivity	diffusivity	NOUN
easat-4978	93	8	:	:	PUNCT
easat-4978	93	9	𝜆	𝜆	X
easat-4978	93	10	=	=	SYM
easat-4978	93	11	0.85	0.85	NUM
easat-4978	93	12	0.90	0.90	NUM
easat-4978	93	13	=	=	NOUN
easat-4978	93	14	0.944	0.944	NUM
easat-4978	93	15	.	.	PUNCT
easat-4978	94	1	𝑑∗	𝑑∗	NOUN
easat-4978	94	2	=	=	PUNCT
easat-4978	94	3	(	(	PUNCT
easat-4978	94	4	1.05	1.05	NUM
easat-4978	94	5	+	+	CCONJ
easat-4978	94	6	0.944	0.944	NUM
easat-4978	94	7	×	×	NOUN
easat-4978	94	8	1.11	1.11	NUM
easat-4978	94	9	+	+	CCONJ
easat-4978	94	10	1.18	1.18	NUM
easat-4978	94	11	)	)	PUNCT
easat-4978	94	12	×	×	NOUN
easat-4978	94	13	10−4	10−4	NUM
easat-4978	94	14	2.944	2.944	NUM
easat-4978	94	15	.	.	PUNCT
easat-4978	95	1	𝑑∗	𝑑∗	NOUN
easat-4978	95	2	=	=	PUNCT
easat-4978	95	3	1.113	1.113	NUM
easat-4978	95	4	×	×	NOUN
easat-4978	95	5	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NOUN
easat-4978	95	6	this	this	DET
easat-4978	95	7	method	method	NOUN
easat-4978	95	8	ensures	ensure	VERB
easat-4978	95	9	that	that	SCONJ
easat-4978	95	10	the	the	DET
easat-4978	95	11	output	output	NOUN
easat-4978	95	12	value	value	NOUN
easat-4978	95	13	is	be	AUX
easat-4978	95	14	weighted	weight	VERB
easat-4978	95	15	based	base	VERB
easat-4978	95	16	on	on	ADP
easat-4978	95	17	the	the	DET
easat-4978	95	18	relative	relative	ADJ
easat-4978	95	19	importance	importance	NOUN
easat-4978	95	20	of	of	ADP
easat-4978	95	21	the	the	DET
easat-4978	95	22	modal	modal	ADJ
easat-4978	95	23	value	value	NOUN
easat-4978	95	24	,	,	PUNCT
easat-4978	95	25	making	make	VERB
easat-4978	95	26	it	it	PRON
easat-4978	95	27	robust	robust	ADJ
easat-4978	95	28	for	for	ADP
easat-4978	95	29	applications	application	NOUN
easat-4978	95	30	where	where	SCONJ
easat-4978	95	31	the	the	DET
easat-4978	95	32	central	central	ADJ
easat-4978	95	33	tendency	tendency	NOUN
easat-4978	95	34	is	be	AUX
easat-4978	95	35	emphasized	emphasize	VERB
easat-4978	95	36	.	.	PUNCT
easat-4978	96	1	4.2	4.2	NUM
easat-4978	96	2	.	.	PUNCT
easat-4978	97	1	score	score	NOUN
easat-4978	97	2	function	function	NOUN
easat-4978	97	3	-	-	PUNCT
easat-4978	97	4	based	base	VERB
easat-4978	97	5	defuzzification	defuzzification	NOUN
easat-4978	97	6	the	the	DET
easat-4978	97	7	score	score	NOUN
easat-4978	97	8	function	function	NOUN
easat-4978	97	9	method	method	NOUN
easat-4978	97	10	utilizes	utilize	VERB
easat-4978	97	11	the	the	DET
easat-4978	97	12	difference	difference	NOUN
easat-4978	97	13	between	between	ADP
easat-4978	97	14	the	the	DET
easat-4978	97	15	membership	membership	NOUN
easat-4978	97	16	and	and	CCONJ
easat-4978	97	17	non	non	ADJ
easat-4978	97	18	-	-	ADJ
easat-4978	97	19	membership	membership	ADJ
easat-4978	97	20	degrees	degree	NOUN
easat-4978	97	21	to	to	PART
easat-4978	97	22	determine	determine	VERB
easat-4978	97	23	a	a	DET
easat-4978	97	24	crisp	crisp	ADJ
easat-4978	97	25	value	value	NOUN
easat-4978	97	26	.	.	PUNCT
easat-4978	98	1	the	the	DET
easat-4978	98	2	score	score	NOUN
easat-4978	98	3	function	function	NOUN
easat-4978	98	4	is	be	AUX
easat-4978	98	5	defined	define	VERB
easat-4978	98	6	as	as	ADP
easat-4978	98	7	:	:	PUNCT
easat-4978	98	8	𝑆(	𝑆(	NOUN
easat-4978	98	9	�	�	PROPN
easat-4978	98	10	̃	̃	PROPN
easat-4978	98	11	�	�	PROPN
easat-4978	98	12	)	)	PUNCT
easat-4978	98	13	=	=	PUNCT
easat-4978	98	14	𝜇𝑑	𝜇𝑑	ADP
easat-4978	98	15	−	−	NOUN
easat-4978	98	16	𝑣𝑑	𝑣𝑑	ADP
easat-4978	98	17	for	for	ADP
easat-4978	98	18	the	the	DET
easat-4978	98	19	given	give	VERB
easat-4978	98	20	intuitionistic	intuitionistic	ADJ
easat-4978	98	21	fuzzy	fuzzy	ADJ
easat-4978	98	22	thermal	thermal	ADJ
easat-4978	98	23	diffusivity	diffusivity	NOUN
easat-4978	98	24	:	:	PUNCT
easat-4978	98	25	𝑆(	𝑆(	NOUN
easat-4978	98	26	�	�	PROPN
easat-4978	98	27	̃	̃	PROPN
easat-4978	98	28	�	�	PROPN
easat-4978	98	29	)	)	PUNCT
easat-4978	98	30	=	=	SYM
easat-4978	99	1	0.85	0.85	NUM
easat-4978	99	2	−	−	NOUN
easat-4978	99	3	0.10	0.10	NUM
easat-4978	99	4	=	=	SYM
easat-4978	99	5	0.75	0.75	NUM
easat-4978	99	6	.	.	PUNCT
easat-4978	100	1	the	the	DET
easat-4978	100	2	defuzzified	defuzzifie	VERB
easat-4978	100	3	value	value	NOUN
easat-4978	100	4	is	be	AUX
easat-4978	100	5	then	then	ADV
easat-4978	100	6	calculated	calculate	VERB
easat-4978	100	7	as	as	ADP
easat-4978	100	8	:	:	PUNCT
easat-4978	100	9	𝑑∗	𝑑∗	NOUN
easat-4978	100	10	=	=	SYM
easat-4978	100	11	𝑑𝑀	𝑑𝑀	X
easat-4978	100	12	+	+	NUM
easat-4978	100	13	𝑆(	𝑆(	NOUN
easat-4978	100	14	�	�	PROPN
easat-4978	100	15	̃	̃	PROPN
easat-4978	100	16	�	�	PROPN
easat-4978	100	17	)(𝑑𝑈	)(𝑑𝑈	NOUN
easat-4978	100	18	−	−	PROPN
easat-4978	101	1	𝑑𝐿	𝑑𝐿	NOUN
easat-4978	101	2	)	)	PUNCT
easat-4978	101	3	2	2	NUM
easat-4978	101	4	.	.	PUNCT
easat-4978	102	1	substituting	substitute	VERB
easat-4978	102	2	values	value	NOUN
easat-4978	102	3	:	:	PUNCT
easat-4978	102	4	𝑑∗	𝑑∗	NOUN
easat-4978	102	5	=	=	PUNCT
easat-4978	102	6	1.11	1.11	NUM
easat-4978	102	7	×	×	NOUN
easat-4978	102	8	10−4	10−4	NUM
easat-4978	102	9	+	+	CCONJ
easat-4978	102	10	0.75	0.75	NUM
easat-4978	102	11	×	×	NOUN
easat-4978	102	12	(	(	PUNCT
easat-4978	102	13	1.18	1.18	NUM
easat-4978	102	14	−	−	NUM
easat-4978	102	15	1.05	1.05	NUM
easat-4978	102	16	)	)	PUNCT
easat-4978	102	17	×	×	NOUN
easat-4978	102	18	10−4	10−4	NUM
easat-4978	102	19	2	2	NUM
easat-4978	102	20	.	.	PUNCT
easat-4978	103	1	𝑑∗	𝑑∗	NOUN
easat-4978	103	2	=	=	PROPN
easat-4978	103	3	1.158	1.158	NUM
easat-4978	103	4	×	×	NOUN
easat-4978	103	5	10−4	10−4	NUM
easat-4978	103	6	𝑚2/𝑠.	𝑚2/𝑠.	NOUN
easat-4978	103	7	this	this	DET
easat-4978	103	8	approach	approach	NOUN
easat-4978	103	9	ensures	ensure	VERB
easat-4978	103	10	that	that	SCONJ
easat-4978	103	11	the	the	DET
easat-4978	103	12	de	de	PROPN
easat-4978	103	13	fuzzified	fuzzifie	VERB
easat-4978	103	14	value	value	NOUN
easat-4978	103	15	accounts	account	VERB
easat-4978	103	16	for	for	ADP
easat-4978	103	17	both	both	DET
easat-4978	103	18	uncertainty	uncertainty	NOUN
easat-4978	103	19	and	and	CCONJ
easat-4978	103	20	the	the	DET
easat-4978	103	21	central	central	ADJ
easat-4978	103	22	tendency	tendency	NOUN
easat-4978	103	23	of	of	ADP
easat-4978	103	24	the	the	DET
easat-4978	103	25	data	datum	NOUN
easat-4978	103	26	.	.	PUNCT
easat-4978	104	1	4.3	4.3	NUM
easat-4978	104	2	.	.	PUNCT
easat-4978	104	3	centroid	centroid	NOUN
easat-4978	104	4	defuzzification	defuzzification	NOUN
easat-4978	104	5	the	the	DET
easat-4978	104	6	centroid	centroid	NOUN
easat-4978	104	7	method	method	NOUN
easat-4978	104	8	calculates	calculate	VERB
easat-4978	104	9	the	the	DET
easat-4978	104	10	crisp	crisp	ADJ
easat-4978	104	11	value	value	NOUN
easat-4978	104	12	by	by	ADP
easat-4978	104	13	averaging	average	VERB
easat-4978	104	14	the	the	DET
easat-4978	104	15	three	three	NUM
easat-4978	104	16	key	key	ADJ
easat-4978	104	17	values	value	NOUN
easat-4978	104	18	of	of	ADP
easat-4978	104	19	the	the	DET
easat-4978	104	20	fuzzy	fuzzy	ADJ
easat-4978	104	21	number	number	NOUN
easat-4978	104	22	.	.	PUNCT
easat-4978	105	1	it	it	PRON
easat-4978	105	2	is	be	AUX
easat-4978	105	3	defined	define	VERB
easat-4978	105	4	as	as	ADP
easat-4978	105	5	:	:	PUNCT
easat-4978	105	6	𝑑∗	𝑑∗	NOUN
easat-4978	105	7	=	=	SYM
easat-4978	105	8	𝑑𝐿	𝑑𝐿	PROPN
easat-4978	106	1	+	+	CCONJ
easat-4978	106	2	𝑑𝑀	𝑑𝑀	X
easat-4978	106	3	+	+	NUM
easat-4978	106	4	𝑑𝑈	𝑑𝑈	VERB
easat-4978	106	5	3	3	NUM
easat-4978	106	6	.	.	PUNCT
easat-4978	107	1	substituting	substitute	VERB
easat-4978	107	2	the	the	DET
easat-4978	107	3	given	give	VERB
easat-4978	107	4	values	value	NOUN
easat-4978	107	5	:	:	PUNCT
easat-4978	107	6	𝑑∗	𝑑∗	NOUN
easat-4978	107	7	=	=	PUNCT
easat-4978	107	8	(	(	PUNCT
easat-4978	107	9	1.05	1.05	NUM
easat-4978	107	10	+	+	NUM
easat-4978	107	11	1.11	1.11	NUM
easat-4978	107	12	+	+	NUM
easat-4978	107	13	1.18	1.18	NUM
easat-4978	107	14	)	)	PUNCT
easat-4978	107	15	×	×	NOUN
easat-4978	107	16	10−4	10−4	NUM
easat-4978	107	17	3	3	NUM
easat-4978	107	18	.	.	PUNCT
easat-4978	108	1	𝑑∗	𝑑∗	NOUN
easat-4978	108	2	=	=	PUNCT
easat-4978	108	3	1.113	1.113	NUM
easat-4978	108	4	×	×	NOUN
easat-4978	108	5	10−4	10−4	NUM
easat-4978	108	6	𝑚2/𝑠.	𝑚2/𝑠.	NOUN
easat-4978	108	7	this	this	DET
easat-4978	108	8	method	method	NOUN
easat-4978	108	9	provides	provide	VERB
easat-4978	108	10	a	a	DET
easat-4978	108	11	balanced	balanced	ADJ
easat-4978	108	12	approach	approach	NOUN
easat-4978	108	13	by	by	ADP
easat-4978	108	14	giving	give	VERB
easat-4978	108	15	equal	equal	ADJ
easat-4978	108	16	weight	weight	NOUN
easat-4978	108	17	to	to	ADP
easat-4978	108	18	all	all	DET
easat-4978	108	19	three	three	NUM
easat-4978	108	20	values	value	NOUN
easat-4978	108	21	,	,	PUNCT
easat-4978	108	22	making	make	VERB
easat-4978	108	23	it	it	PRON
easat-4978	108	24	suitable	suitable	ADJ
easat-4978	108	25	for	for	ADP
easat-4978	108	26	cases	case	NOUN
easat-4978	108	27	where	where	SCONJ
easat-4978	108	28	the	the	DET
easat-4978	108	29	intuitionistic	intuitionistic	ADJ
easat-4978	108	30	fuzzy	fuzzy	ADJ
easat-4978	108	31	representation	representation	NOUN
easat-4978	108	32	is	be	AUX
easat-4978	108	33	symmetrically	symmetrically	ADV
easat-4978	108	34	distributed	distribute	VERB
easat-4978	108	35	.	.	PUNCT
easat-4978	109	1	4.4	4.4	NUM
easat-4978	109	2	.	.	PUNCT
easat-4978	110	1	comparative	comparative	ADJ
easat-4978	110	2	analysis	analysis	NOUN
easat-4978	110	3	of	of	ADP
easat-4978	110	4	defuzzification	defuzzification	NOUN
easat-4978	110	5	methods	method	NOUN
easat-4978	110	6	the	the	DET
easat-4978	110	7	results	result	NOUN
easat-4978	110	8	from	from	ADP
easat-4978	110	9	the	the	DET
easat-4978	110	10	three	three	NUM
easat-4978	110	11	methods	method	NOUN
easat-4978	110	12	indicate	indicate	VERB
easat-4978	110	13	slight	slight	ADJ
easat-4978	110	14	variations	variation	NOUN
easat-4978	110	15	in	in	ADP
easat-4978	110	16	the	the	DET
easat-4978	110	17	de	de	X
easat-4978	110	18	fuzzified	fuzzifie	VERB
easat-4978	110	19	values	value	NOUN
easat-4978	110	20	:	:	PUNCT
easat-4978	110	21	table	table	NOUN
easat-4978	110	22	1	1	NUM
easat-4978	110	23	.	.	PUNCT
easat-4978	110	24	comparison	comparison	NOUN
easat-4978	110	25	of	of	ADP
easat-4978	110	26	defuzzification	defuzzification	NOUN
easat-4978	110	27	method	method	NOUN
easat-4978	110	28	.	.	PUNCT
easat-4978	111	1	no	no	DET
easat-4978	111	2	defuzzification	defuzzification	NOUN
easat-4978	111	3	method	method	NOUN
easat-4978	111	4	𝒅∗	𝒅∗	NOUN
easat-4978	111	5	value	value	NOUN
easat-4978	111	6	1	1	NUM
easat-4978	111	7	weighted	weight	VERB
easat-4978	111	8	average	average	ADJ
easat-4978	111	9	defuzzification	defuzzification	NOUN
easat-4978	111	10	1.113	1.113	NUM
easat-4978	111	11	×	×	NOUN
easat-4978	111	12	10−4𝑚2/𝑠	10−4𝑚2/𝑠	NUM
easat-4978	111	13	2	2	NUM
easat-4978	111	14	score	score	NOUN
easat-4978	111	15	function	function	NOUN
easat-4978	111	16	-	-	PUNCT
easat-4978	111	17	based	base	VERB
easat-4978	111	18	defuzzification	defuzzification	NOUN
easat-4978	111	19	1.158	1.158	NUM
easat-4978	111	20	×	×	NOUN
easat-4978	111	21	10−4	10−4	NUM
easat-4978	111	22	𝑚2/𝑠	𝑚2/𝑠	NOUN
easat-4978	111	23	3	3	NUM
easat-4978	111	24	centroid	centroid	NOUN
easat-4978	111	25	defuzzification	defuzzification	NOUN
easat-4978	111	26	1.113	1.113	NUM
easat-4978	111	27	×	×	NOUN
easat-4978	111	28	10−4	10−4	NUM
easat-4978	111	29	𝑚2/𝑠	𝑚2/𝑠	NOUN
easat-4978	111	30	1928	1928	NUM
easat-4978	111	31	edelweiss	edelweiss	PROPN
easat-4978	111	32	applied	apply	VERB
easat-4978	111	33	science	science	NOUN
easat-4978	111	34	and	and	CCONJ
easat-4978	111	35	technology	technology	NOUN
easat-4978	111	36	issn	issn	PROPN
easat-4978	111	37	:	:	PUNCT
easat-4978	111	38	2576	2576	NUM
easat-4978	111	39	-	-	SYM
easat-4978	111	40	8484	8484	NUM
easat-4978	111	41	vol	vol	NOUN
easat-4978	111	42	.	.	PROPN
easat-4978	112	1	9	9	NUM
easat-4978	112	2	,	,	PUNCT
easat-4978	112	3	no	no	INTJ
easat-4978	112	4	.	.	NOUN
easat-4978	112	5	2	2	NUM
easat-4978	112	6	:	:	SYM
easat-4978	112	7	1923	1923	NUM
easat-4978	112	8	-	-	SYM
easat-4978	112	9	1930	1930	NUM
easat-4978	112	10	,	,	PUNCT
easat-4978	112	11	2025	2025	NUM
easat-4978	112	12	doi	doi	NOUN
easat-4978	112	13	:	:	PUNCT
easat-4978	112	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	112	15	©	©	ADP
easat-4978	112	16	2025	2025	NUM
easat-4978	112	17	by	by	ADP
easat-4978	112	18	the	the	DET
easat-4978	112	19	authors	author	NOUN
easat-4978	112	20	;	;	PUNCT
easat-4978	112	21	licensee	licensee	PROPN
easat-4978	112	22	learning	learning	NOUN
easat-4978	112	23	gate	gate	NOUN
easat-4978	112	24	while	while	SCONJ
easat-4978	112	25	the	the	DET
easat-4978	112	26	weighted	weight	VERB
easat-4978	112	27	average	average	NOUN
easat-4978	112	28	and	and	CCONJ
easat-4978	112	29	centroid	centroid	PROPN
easat-4978	112	30	methods	method	NOUN
easat-4978	112	31	provide	provide	VERB
easat-4978	112	32	similar	similar	ADJ
easat-4978	112	33	results	result	NOUN
easat-4978	112	34	,	,	PUNCT
easat-4978	112	35	the	the	DET
easat-4978	112	36	score	score	NOUN
easat-4978	112	37	function	function	NOUN
easat-4978	112	38	-	-	PUNCT
easat-4978	112	39	based	base	VERB
easat-4978	112	40	method	method	NOUN
easat-4978	112	41	produces	produce	VERB
easat-4978	112	42	a	a	DET
easat-4978	112	43	slightly	slightly	ADV
easat-4978	112	44	higher	high	ADJ
easat-4978	112	45	value	value	NOUN
easat-4978	112	46	due	due	ADP
easat-4978	112	47	to	to	ADP
easat-4978	112	48	its	its	PRON
easat-4978	112	49	consideration	consideration	NOUN
easat-4978	112	50	of	of	ADP
easat-4978	112	51	membership	membership	NOUN
easat-4978	112	52	and	and	CCONJ
easat-4978	112	53	non	non	ADJ
easat-4978	112	54	-	-	ADJ
easat-4978	112	55	membership	membership	ADJ
easat-4978	112	56	differences	difference	NOUN
easat-4978	112	57	.	.	PUNCT
easat-4978	113	1	the	the	DET
easat-4978	113	2	choice	choice	NOUN
easat-4978	113	3	of	of	ADP
easat-4978	113	4	method	method	NOUN
easat-4978	113	5	should	should	AUX
easat-4978	113	6	be	be	AUX
easat-4978	113	7	based	base	VERB
easat-4978	113	8	on	on	ADP
easat-4978	113	9	the	the	DET
easat-4978	113	10	application	application	NOUN
easat-4978	113	11	context	context	NOUN
easat-4978	113	12	,	,	PUNCT
easat-4978	113	13	where	where	SCONJ
easat-4978	113	14	the	the	DET
easat-4978	113	15	centroid	centroid	NOUN
easat-4978	113	16	method	method	NOUN
easat-4978	113	17	is	be	AUX
easat-4978	113	18	preferred	prefer	VERB
easat-4978	113	19	for	for	ADP
easat-4978	113	20	symmetric	symmetric	ADJ
easat-4978	113	21	distributions	distribution	NOUN
easat-4978	113	22	,	,	PUNCT
easat-4978	113	23	the	the	DET
easat-4978	113	24	weighted	weight	VERB
easat-4978	113	25	average	average	ADJ
easat-4978	113	26	method	method	NOUN
easat-4978	113	27	for	for	ADP
easat-4978	113	28	practical	practical	ADJ
easat-4978	113	29	approximations	approximation	NOUN
easat-4978	113	30	,	,	PUNCT
easat-4978	113	31	and	and	CCONJ
easat-4978	113	32	the	the	DET
easat-4978	113	33	score	score	NOUN
easat-4978	113	34	function	function	NOUN
easat-4978	113	35	-	-	PUNCT
easat-4978	113	36	based	base	VERB
easat-4978	113	37	method	method	NOUN
easat-4978	113	38	for	for	ADP
easat-4978	113	39	uncertainty	uncertainty	NOUN
easat-4978	113	40	-	-	PUNCT
easat-4978	113	41	sensitive	sensitive	ADJ
easat-4978	113	42	applications	application	NOUN
easat-4978	113	43	.	.	PUNCT
easat-4978	114	1	this	this	DET
easat-4978	114	2	result	result	NOUN
easat-4978	114	3	differs	differ	VERB
easat-4978	114	4	from	from	ADP
easat-4978	114	5	the	the	DET
easat-4978	114	6	findings	finding	NOUN
easat-4978	114	7	in	in	ADP
easat-4978	114	8	bertone	bertone	PROPN
easat-4978	114	9	,	,	PUNCT
easat-4978	114	10	et	et	PROPN
easat-4978	114	11	al	al	PROPN
easat-4978	114	12	.	.	PUNCT
easat-4978	115	1	[	[	X
easat-4978	115	2	1	1	X
easat-4978	115	3	]	]	PUNCT
easat-4978	115	4	where	where	SCONJ
easat-4978	115	5	the	the	DET
easat-4978	115	6	defuzzification	defuzzification	NOUN
easat-4978	115	7	results	result	VERB
easat-4978	115	8	matched	match	VERB
easat-4978	115	9	the	the	DET
easat-4978	115	10	analytical	analytical	ADJ
easat-4978	115	11	solution	solution	NOUN
easat-4978	115	12	value	value	NOUN
easat-4978	115	13	.	.	PUNCT
easat-4978	116	1	the	the	DET
easat-4978	116	2	use	use	NOUN
easat-4978	116	3	of	of	ADP
easat-4978	116	4	intuitionistic	intuitionistic	ADJ
easat-4978	116	5	fuzzy	fuzzy	ADJ
easat-4978	116	6	numbers	number	NOUN
easat-4978	116	7	leads	lead	VERB
easat-4978	116	8	to	to	ADP
easat-4978	116	9	distinct	distinct	ADJ
easat-4978	116	10	solution	solution	NOUN
easat-4978	116	11	values	value	NOUN
easat-4978	116	12	for	for	ADP
easat-4978	116	13	the	the	DET
easat-4978	116	14	heat	heat	NOUN
easat-4978	116	15	equation	equation	NOUN
easat-4978	116	16	,	,	PUNCT
easat-4978	116	17	highlighting	highlight	VERB
easat-4978	116	18	the	the	DET
easat-4978	116	19	impact	impact	NOUN
easat-4978	116	20	of	of	ADP
easat-4978	116	21	fuzzification	fuzzification	NOUN
easat-4978	116	22	in	in	ADP
easat-4978	116	23	thermal	thermal	ADJ
easat-4978	116	24	modeling	modeling	NOUN
easat-4978	116	25	.	.	PUNCT
easat-4978	117	1	5	5	X
easat-4978	117	2	.	.	X
easat-4978	117	3	simulation	simulation	NOUN
easat-4978	117	4	outcomes	outcome	NOUN
easat-4978	117	5	to	to	PART
easat-4978	117	6	evaluate	evaluate	VERB
easat-4978	117	7	the	the	DET
easat-4978	117	8	effect	effect	NOUN
easat-4978	117	9	of	of	ADP
easat-4978	117	10	these	these	DET
easat-4978	117	11	defuzzied	defuzzie	VERB
easat-4978	117	12	values	value	NOUN
easat-4978	117	13	on	on	ADP
easat-4978	117	14	heat	heat	NOUN
easat-4978	117	15	transfer	transfer	NOUN
easat-4978	117	16	predictions	prediction	NOUN
easat-4978	117	17	,	,	PUNCT
easat-4978	117	18	a	a	DET
easat-4978	117	19	numerical	numerical	ADJ
easat-4978	117	20	simulation	simulation	NOUN
easat-4978	117	21	was	be	AUX
easat-4978	117	22	conducted	conduct	VERB
easat-4978	117	23	for	for	ADP
easat-4978	117	24	the	the	DET
easat-4978	117	25	heat	heat	NOUN
easat-4978	117	26	equation	equation	NOUN
easat-4978	117	27	.	.	PUNCT
easat-4978	118	1	figure	figure	NOUN
easat-4978	118	2	1	1	NUM
easat-4978	118	3	shows	show	VERB
easat-4978	118	4	the	the	DET
easat-4978	118	5	temperature	temperature	NOUN
easat-4978	118	6	distribution	distribution	NOUN
easat-4978	118	7	𝑢𝑑(𝑥	𝑢𝑑(𝑥	NUM
easat-4978	118	8	,	,	PUNCT
easat-4978	118	9	𝑡	𝑡	PROPN
easat-4978	118	10	)	)	PUNCT
easat-4978	118	11	at	at	ADP
easat-4978	118	12	𝑡	𝑡	X
easat-4978	118	13	=	=	SYM
easat-4978	118	14	1	1	NUM
easat-4978	118	15	for	for	ADP
easat-4978	118	16	the	the	DET
easat-4978	118	17	three	three	NUM
easat-4978	118	18	distinct	distinct	ADJ
easat-4978	118	19	values	value	NOUN
easat-4978	118	20	of	of	ADP
easat-4978	118	21	𝑑.	𝑑.	NOUN
easat-4978	118	22	notably	notably	ADV
easat-4978	118	23	,	,	PUNCT
easat-4978	118	24	the	the	DET
easat-4978	118	25	curves	curve	NOUN
easat-4978	118	26	overlap	overlap	VERB
easat-4978	118	27	almost	almost	ADV
easat-4978	118	28	perfectly	perfectly	ADV
easat-4978	118	29	,	,	PUNCT
easat-4978	118	30	indicating	indicate	VERB
easat-4978	118	31	that	that	SCONJ
easat-4978	118	32	in	in	ADP
easat-4978	118	33	the	the	DET
easat-4978	118	34	case	case	NOUN
easat-4978	118	35	of	of	ADP
easat-4978	118	36	copper	copper	NOUN
easat-4978	118	37	—	—	PUNCT
easat-4978	118	38	where	where	SCONJ
easat-4978	118	39	thermal	thermal	ADJ
easat-4978	118	40	properties	property	NOUN
easat-4978	118	41	exhibit	exhibit	VERB
easat-4978	118	42	relatively	relatively	ADV
easat-4978	118	43	small	small	ADJ
easat-4978	118	44	variations	variation	NOUN
easat-4978	118	45	—	—	PUNCT
easat-4978	118	46	the	the	DET
easat-4978	118	47	impact	impact	NOUN
easat-4978	118	48	of	of	ADP
easat-4978	118	49	different	different	ADJ
easat-4978	118	50	defuzzied	defuzzied	ADJ
easat-4978	118	51	values	value	NOUN
easat-4978	118	52	is	be	AUX
easat-4978	118	53	minimal	minimal	ADJ
easat-4978	118	54	.	.	PUNCT
easat-4978	119	1	these	these	DET
easat-4978	119	2	modest	modest	ADJ
easat-4978	119	3	discrepancies	discrepancy	NOUN
easat-4978	119	4	reflect	reflect	VERB
easat-4978	119	5	the	the	DET
easat-4978	119	6	inherent	inherent	ADJ
easat-4978	119	7	robustness	robustness	NOUN
easat-4978	119	8	of	of	ADP
easat-4978	119	9	copper	copper	NOUN
easat-4978	119	10	’s	’s	PART
easat-4978	119	11	thermal	thermal	ADJ
easat-4978	119	12	behavior	behavior	NOUN
easat-4978	119	13	when	when	SCONJ
easat-4978	119	14	subject	subject	ADJ
easat-4978	119	15	to	to	ADP
easat-4978	119	16	slight	slight	ADJ
easat-4978	119	17	parameter	parameter	NOUN
easat-4978	119	18	fluctuations	fluctuation	NOUN
easat-4978	119	19	.	.	PUNCT
easat-4978	120	1	figure	figure	VERB
easat-4978	120	2	2	2	NUM
easat-4978	120	3	.	.	PUNCT
easat-4978	120	4	2d	2d	NUM
easat-4978	120	5	plot	plot	NOUN
easat-4978	120	6	of	of	ADP
easat-4978	120	7	𝑢𝑑(𝑥	𝑢𝑑(𝑥	PROPN
easat-4978	120	8	,	,	PUNCT
easat-4978	120	9	𝑡	𝑡	PROPN
easat-4978	120	10	)	)	PUNCT
easat-4978	120	11	at	at	ADP
easat-4978	120	12	𝑡	𝑡	X
easat-4978	120	13	=	=	SYM
easat-4978	120	14	1	1	NUM
easat-4978	120	15	for	for	ADP
easat-4978	120	16	different	different	ADJ
easat-4978	120	17	𝑑	𝑑	PRON
easat-4978	120	18	values	value	NOUN
easat-4978	120	19	.	.	PUNCT
easat-4978	121	1	the	the	DET
easat-4978	121	2	three	three	NUM
easat-4978	121	3	curves	curve	NOUN
easat-4978	121	4	overlap	overlap	NOUN
easat-4978	121	5	,	,	PUNCT
easat-4978	121	6	indicating	indicate	VERB
easat-4978	121	7	minimal	minimal	ADJ
easat-4978	121	8	differencein	differencein	ADJ
easat-4978	121	9	predicted	predict	VERB
easat-4978	121	10	temperature	temperature	NOUN
easat-4978	121	11	distribution	distribution	NOUN
easat-4978	121	12	for	for	ADP
easat-4978	121	13	copper	copper	NOUN
easat-4978	121	14	.	.	PUNCT
easat-4978	122	1	despite	despite	SCONJ
easat-4978	122	2	the	the	DET
easat-4978	122	3	similarity	similarity	NOUN
easat-4978	122	4	observed	observe	VERB
easat-4978	122	5	in	in	ADP
easat-4978	122	6	this	this	DET
easat-4978	122	7	simulation	simulation	NOUN
easat-4978	122	8	,	,	PUNCT
easat-4978	122	9	the	the	DET
easat-4978	122	10	results	result	NOUN
easat-4978	122	11	may	may	AUX
easat-4978	122	12	differ	differ	VERB
easat-4978	122	13	considerably	considerably	ADV
easat-4978	122	14	for	for	ADP
easat-4978	122	15	materials	material	NOUN
easat-4978	122	16	with	with	ADP
easat-4978	122	17	greater	great	ADJ
easat-4978	122	18	variability	variability	NOUN
easat-4978	122	19	or	or	CCONJ
easat-4978	122	20	higher	high	ADJ
easat-4978	122	21	sensitivity	sensitivity	NOUN
easat-4978	122	22	to	to	ADP
easat-4978	122	23	temperature	temperature	NOUN
easat-4978	122	24	changes	change	NOUN
easat-4978	122	25	.	.	PUNCT
easat-4978	123	1	in	in	ADP
easat-4978	123	2	such	such	ADJ
easat-4978	123	3	cases	case	NOUN
easat-4978	123	4	,	,	PUNCT
easat-4978	123	5	the	the	DET
easat-4978	123	6	choice	choice	NOUN
easat-4978	123	7	of	of	ADP
easat-4978	123	8	defuzzification	defuzzification	NOUN
easat-4978	123	9	method	method	NOUN
easat-4978	123	10	could	could	AUX
easat-4978	123	11	significantly	significantly	ADV
easat-4978	123	12	alter	alter	VERB
easat-4978	123	13	the	the	DET
easat-4978	123	14	predicted	predict	VERB
easat-4978	123	15	temperature	temperature	NOUN
easat-4978	123	16	field	field	NOUN
easat-4978	123	17	,	,	PUNCT
easat-4978	123	18	potentially	potentially	ADV
easat-4978	123	19	affecting	affect	VERB
easat-4978	123	20	design	design	NOUN
easat-4978	123	21	decisions	decision	NOUN
easat-4978	123	22	in	in	ADP
easat-4978	123	23	engineering	engineering	NOUN
easat-4978	123	24	applications	application	NOUN
easat-4978	123	25	.	.	PUNCT
easat-4978	124	1	consequently	consequently	ADV
easat-4978	124	2	,	,	PUNCT
easat-4978	124	3	although	although	SCONJ
easat-4978	124	4	the	the	DET
easat-4978	124	5	present	present	ADJ
easat-4978	124	6	results	result	NOUN
easat-4978	124	7	suggest	suggest	VERB
easat-4978	124	8	minimal	minimal	ADJ
easat-4978	124	9	differences	difference	NOUN
easat-4978	124	10	for	for	ADP
easat-4978	124	11	copper	copper	NOUN
easat-4978	124	12	,	,	PUNCT
easat-4978	124	13	they	they	PRON
easat-4978	124	14	highlight	highlight	VERB
easat-4978	124	15	the	the	DET
easat-4978	124	16	broader	broad	ADJ
easat-4978	124	17	utility	utility	NOUN
easat-4978	124	18	of	of	ADP
easat-4978	124	19	intuitionistic	intuitionistic	ADJ
easat-4978	124	20	fuzzy	fuzzy	ADJ
easat-4978	124	21	numbers	number	NOUN
easat-4978	124	22	and	and	CCONJ
easat-4978	124	23	defuzzification	defuzzification	NOUN
easat-4978	124	24	techniques	technique	NOUN
easat-4978	124	25	in	in	ADP
easat-4978	124	26	capturing	capture	VERB
easat-4978	124	27	and	and	CCONJ
easat-4978	124	28	propagating	propagate	VERB
easat-4978	124	29	uncertainties	uncertainty	NOUN
easat-4978	124	30	for	for	ADP
easat-4978	124	31	materials	material	NOUN
easat-4978	124	32	and	and	CCONJ
easat-4978	124	33	systems	system	NOUN
easat-4978	124	34	where	where	SCONJ
easat-4978	124	35	parameter	parameter	NOUN
easat-4978	124	36	variations	variation	NOUN
easat-4978	124	37	are	be	AUX
easat-4978	124	38	more	more	ADV
easat-4978	124	39	pronounced	pronounced	ADJ
easat-4978	124	40	.	.	PUNCT
easat-4978	125	1	1929	1929	NUM
easat-4978	125	2	edelweiss	edelweiss	PROPN
easat-4978	125	3	applied	apply	VERB
easat-4978	125	4	science	science	NOUN
easat-4978	125	5	and	and	CCONJ
easat-4978	125	6	technology	technology	NOUN
easat-4978	125	7	issn	issn	PROPN
easat-4978	125	8	:	:	PUNCT
easat-4978	125	9	2576	2576	NUM
easat-4978	125	10	-	-	SYM
easat-4978	125	11	8484	8484	NUM
easat-4978	125	12	vol	vol	NOUN
easat-4978	125	13	.	.	PROPN
easat-4978	126	1	9	9	NUM
easat-4978	126	2	,	,	PUNCT
easat-4978	126	3	no	no	INTJ
easat-4978	126	4	.	.	NOUN
easat-4978	126	5	2	2	NUM
easat-4978	126	6	:	:	SYM
easat-4978	126	7	1923	1923	NUM
easat-4978	126	8	-	-	SYM
easat-4978	126	9	1930	1930	NUM
easat-4978	126	10	,	,	PUNCT
easat-4978	126	11	2025	2025	NUM
easat-4978	126	12	doi	doi	NOUN
easat-4978	126	13	:	:	PUNCT
easat-4978	126	14	10.55214/25768484.v9i2.4978	10.55214/25768484.v9i2.4978	PROPN
easat-4978	126	15	©	©	ADP
easat-4978	126	16	2025	2025	NUM
easat-4978	126	17	by	by	ADP
easat-4978	126	18	the	the	DET
easat-4978	126	19	authors	author	NOUN
easat-4978	126	20	;	;	PUNCT
easat-4978	126	21	licensee	licensee	PROPN
easat-4978	126	22	learning	learning	NOUN
easat-4978	126	23	gate	gate	NOUN
easat-4978	126	24	6	6	NUM
easat-4978	126	25	.	.	PUNCT
easat-4978	127	1	conclusion	conclusion	NOUN
easat-4978	127	2	this	this	DET
easat-4978	127	3	study	study	NOUN
easat-4978	127	4	explored	explore	VERB
easat-4978	127	5	the	the	DET
easat-4978	127	6	impact	impact	NOUN
easat-4978	127	7	of	of	ADP
easat-4978	127	8	different	different	ADJ
easat-4978	127	9	defuzzification	defuzzification	NOUN
easat-4978	127	10	methods	method	NOUN
easat-4978	127	11	on	on	ADP
easat-4978	127	12	the	the	DET
easat-4978	127	13	numerical	numerical	ADJ
easat-4978	127	14	solution	solution	NOUN
easat-4978	127	15	of	of	ADP
easat-4978	127	16	the	the	DET
easat-4978	127	17	heat	heat	NOUN
easat-4978	127	18	equation	equation	NOUN
easat-4978	127	19	when	when	SCONJ
easat-4978	127	20	the	the	DET
easat-4978	127	21	thermal	thermal	ADJ
easat-4978	127	22	diffusivity	diffusivity	NOUN
easat-4978	127	23	is	be	AUX
easat-4978	127	24	modeled	model	VERB
easat-4978	127	25	using	use	VERB
easat-4978	127	26	intuitionistic	intuitionistic	ADJ
easat-4978	127	27	fuzzy	fuzzy	ADJ
easat-4978	127	28	numbers	number	NOUN
easat-4978	127	29	.	.	PUNCT
easat-4978	128	1	three	three	NUM
easat-4978	128	2	widely	widely	ADV
easat-4978	128	3	used	use	VERB
easat-4978	128	4	techniques	technique	NOUN
easat-4978	128	5	—	—	PUNCT
easat-4978	128	6	weighted	weight	VERB
easat-4978	128	7	average	average	ADJ
easat-4978	128	8	,	,	PUNCT
easat-4978	128	9	score	score	NOUN
easat-4978	128	10	function	function	NOUN
easat-4978	128	11	-	-	PUNCT
easat-4978	128	12	based	base	VERB
easat-4978	128	13	,	,	PUNCT
easat-4978	128	14	and	and	CCONJ
easat-4978	128	15	centroid	centroid	PROPN
easat-4978	128	16	defuzzification	defuzzification	NOUN
easat-4978	128	17	—	—	PUNCT
easat-4978	128	18	were	be	AUX
easat-4978	128	19	analyzed	analyze	VERB
easat-4978	128	20	to	to	PART
easat-4978	128	21	assess	assess	VERB
easat-4978	128	22	their	their	PRON
easat-4978	128	23	influence	influence	NOUN
easat-4978	128	24	on	on	ADP
easat-4978	128	25	the	the	DET
easat-4978	128	26	resulting	result	VERB
easat-4978	128	27	crisp	crisp	ADJ
easat-4978	128	28	value	value	NOUN
easat-4978	128	29	of	of	ADP
easat-4978	128	30	thermal	thermal	ADJ
easat-4978	128	31	diffusivity	diffusivity	NOUN
easat-4978	128	32	.	.	PUNCT
easat-4978	129	1	the	the	DET
easat-4978	129	2	results	result	NOUN
easat-4978	129	3	demonstrated	demonstrate	VERB
easat-4978	129	4	that	that	SCONJ
easat-4978	129	5	while	while	SCONJ
easat-4978	129	6	the	the	DET
easat-4978	129	7	weighted	weight	VERB
easat-4978	129	8	average	average	NOUN
easat-4978	129	9	and	and	CCONJ
easat-4978	129	10	centroid	centroid	NOUN
easat-4978	129	11	methods	method	NOUN
easat-4978	129	12	produced	produce	VERB
easat-4978	129	13	similar	similar	ADJ
easat-4978	129	14	de	de	ADP
easat-4978	129	15	fuzzified	fuzzifie	VERB
easat-4978	129	16	values	value	NOUN
easat-4978	129	17	,	,	PUNCT
easat-4978	129	18	the	the	DET
easat-4978	129	19	score	score	NOUN
easat-4978	129	20	function	function	NOUN
easat-4978	129	21	-	-	PUNCT
easat-4978	129	22	based	base	VERB
easat-4978	129	23	method	method	NOUN
easat-4978	129	24	yielded	yield	VERB
easat-4978	129	25	a	a	DET
easat-4978	129	26	slightly	slightly	ADV
easat-4978	129	27	higher	high	ADJ
easat-4978	129	28	value	value	NOUN
easat-4978	129	29	due	due	ADP
easat-4978	129	30	to	to	ADP
easat-4978	129	31	its	its	PRON
easat-4978	129	32	explicit	explicit	ADJ
easat-4978	129	33	consideration	consideration	NOUN
easat-4978	129	34	of	of	ADP
easat-4978	129	35	both	both	PRON
easat-4978	129	36	membership	membership	NOUN
easat-4978	129	37	and	and	CCONJ
easat-4978	129	38	non	non	ADJ
easat-4978	129	39	-	-	ADJ
easat-4978	129	40	membership	membership	ADJ
easat-4978	129	41	degrees	degree	NOUN
easat-4978	129	42	.	.	PUNCT
easat-4978	130	1	these	these	DET
easat-4978	130	2	findings	finding	NOUN
easat-4978	130	3	highlight	highlight	VERB
easat-4978	130	4	the	the	DET
easat-4978	130	5	importance	importance	NOUN
easat-4978	130	6	of	of	ADP
easat-4978	130	7	selecting	select	VERB
easat-4978	130	8	an	an	DET
easat-4978	130	9	appropriate	appropriate	ADJ
easat-4978	130	10	defuzzification	defuzzification	NOUN
easat-4978	130	11	approach	approach	NOUN
easat-4978	130	12	based	base	VERB
easat-4978	130	13	on	on	ADP
easat-4978	130	14	application	application	NOUN
easat-4978	130	15	-	-	PUNCT
easat-4978	130	16	specific	specific	ADJ
easat-4978	130	17	requirements	requirement	NOUN
easat-4978	130	18	.	.	PUNCT
easat-4978	131	1	the	the	DET
easat-4978	131	2	centroid	centroid	NOUN
easat-4978	131	3	method	method	NOUN
easat-4978	131	4	is	be	AUX
easat-4978	131	5	preferable	preferable	ADJ
easat-4978	131	6	for	for	ADP
easat-4978	131	7	symmetric	symmetric	ADJ
easat-4978	131	8	distributions	distribution	NOUN
easat-4978	131	9	,	,	PUNCT
easat-4978	131	10	the	the	DET
easat-4978	131	11	weighted	weighted	ADJ
easat-4978	131	12	average	average	ADJ
easat-4978	131	13	method	method	NOUN
easat-4978	131	14	offers	offer	VERB
easat-4978	131	15	practical	practical	ADJ
easat-4978	131	16	approximations	approximation	NOUN
easat-4978	131	17	,	,	PUNCT
easat-4978	131	18	and	and	CCONJ
easat-4978	131	19	the	the	DET
easat-4978	131	20	score	score	NOUN
easat-4978	131	21	function	function	NOUN
easat-4978	131	22	-	-	PUNCT
easat-4978	131	23	based	base	VERB
easat-4978	131	24	method	method	NOUN
easat-4978	131	25	is	be	AUX
easat-4978	131	26	advantageous	advantageous	ADJ
easat-4978	131	27	in	in	ADP
easat-4978	131	28	scenarios	scenario	NOUN
easat-4978	131	29	requiring	require	VERB
easat-4978	131	30	sensitivity	sensitivity	NOUN
easat-4978	131	31	to	to	ADP
easat-4978	131	32	uncertainty	uncertainty	NOUN
easat-4978	131	33	.	.	PUNCT
easat-4978	132	1	the	the	DET
easat-4978	132	2	differences	difference	NOUN
easat-4978	132	3	in	in	ADP
easat-4978	132	4	de	de	ADP
easat-4978	132	5	fuzzified	fuzzifie	VERB
easat-4978	132	6	values	value	NOUN
easat-4978	132	7	indicate	indicate	VERB
easat-4978	132	8	that	that	SCONJ
easat-4978	132	9	the	the	DET
easat-4978	132	10	choice	choice	NOUN
easat-4978	132	11	of	of	ADP
easat-4978	132	12	method	method	NOUN
easat-4978	132	13	can	can	AUX
easat-4978	132	14	influence	influence	VERB
easat-4978	132	15	the	the	DET
easat-4978	132	16	computed	computed	ADJ
easat-4978	132	17	temperature	temperature	NOUN
easat-4978	132	18	distribution	distribution	NOUN
easat-4978	132	19	in	in	ADP
easat-4978	132	20	heat	heat	NOUN
easat-4978	132	21	transfer	transfer	NOUN
easat-4978	132	22	problems	problem	NOUN
easat-4978	132	23	.	.	PUNCT
easat-4978	133	1	future	future	ADJ
easat-4978	133	2	research	research	NOUN
easat-4978	133	3	can	can	AUX
easat-4978	133	4	extend	extend	VERB
easat-4978	133	5	this	this	DET
easat-4978	133	6	analysis	analysis	NOUN
easat-4978	133	7	by	by	ADP
easat-4978	133	8	incorporating	incorporate	VERB
easat-4978	133	9	time	time	NOUN
easat-4978	133	10	-	-	PUNCT
easat-4978	133	11	dependent	dependent	ADJ
easat-4978	133	12	intuitionistic	intuitionistic	ADJ
easat-4978	133	13	fuzzy	fuzzy	ADJ
easat-4978	133	14	parameters	parameter	NOUN
easat-4978	133	15	and	and	CCONJ
easat-4978	133	16	evaluating	evaluate	VERB
easat-4978	133	17	the	the	DET
easat-4978	133	18	stability	stability	NOUN
easat-4978	133	19	and	and	CCONJ
easat-4978	133	20	convergence	convergence	NOUN
easat-4978	133	21	of	of	ADP
easat-4978	133	22	numerical	numerical	ADJ
easat-4978	133	23	schemes	scheme	NOUN
easat-4978	133	24	under	under	ADP
easat-4978	133	25	varying	vary	VERB
easat-4978	133	26	degrees	degree	NOUN
easat-4978	133	27	of	of	ADP
easat-4978	133	28	fuzziness	fuzziness	NOUN
easat-4978	133	29	.	.	PUNCT
easat-4978	134	1	funding	funding	NOUN
easat-4978	134	2	:	:	PUNCT
easat-4978	134	3	this	this	DET
easat-4978	134	4	research	research	NOUN
easat-4978	134	5	was	be	AUX
easat-4978	134	6	funded	fund	VERB
easat-4978	134	7	by	by	ADP
easat-4978	134	8	the	the	DET
easat-4978	134	9	faculty	faculty	NOUN
easat-4978	134	10	of	of	ADP
easat-4978	134	11	science	science	NOUN
easat-4978	134	12	and	and	CCONJ
easat-4978	134	13	mathematics	mathematic	NOUN
easat-4978	134	14	,	,	PUNCT
easat-4978	134	15	diponegoro	diponegoro	ADP
easat-4978	134	16	university	university	NOUN
easat-4978	134	17	,	,	PUNCT
easat-4978	134	18	through	through	ADP
easat-4978	134	19	non	non	ADJ
easat-4978	134	20	-	-	ADJ
easat-4978	134	21	apbn	apbn	ADJ
easat-4978	134	22	funding	funding	NOUN
easat-4978	134	23	sources	source	NOUN
easat-4978	134	24	.	.	PUNCT
easat-4978	135	1	the	the	DET
easat-4978	135	2	funding	funding	NOUN
easat-4978	135	3	body	body	NOUN
easat-4978	135	4	had	have	VERB
easat-4978	135	5	no	no	DET
easat-4978	135	6	role	role	NOUN
easat-4978	135	7	in	in	ADP
easat-4978	135	8	the	the	DET
easat-4978	135	9	design	design	NOUN
easat-4978	135	10	,	,	PUNCT
easat-4978	135	11	execution	execution	NOUN
easat-4978	135	12	,	,	PUNCT
easat-4978	135	13	interpretation	interpretation	NOUN
easat-4978	135	14	,	,	PUNCT
easat-4978	135	15	or	or	CCONJ
easat-4978	135	16	writing	writing	NOUN
easat-4978	135	17	of	of	ADP
easat-4978	135	18	this	this	DET
easat-4978	135	19	study	study	NOUN
easat-4978	135	20	.	.	PUNCT
easat-4978	136	1	transparency	transparency	NOUN
easat-4978	136	2	:	:	PUNCT
easat-4978	136	3	the	the	DET
easat-4978	136	4	authors	author	NOUN
easat-4978	136	5	confirm	confirm	VERB
easat-4978	136	6	that	that	SCONJ
easat-4978	136	7	the	the	DET
easat-4978	136	8	manuscript	manuscript	NOUN
easat-4978	136	9	is	be	AUX
easat-4978	136	10	an	an	DET
easat-4978	136	11	honest	honest	ADJ
easat-4978	136	12	,	,	PUNCT
easat-4978	136	13	accurate	accurate	ADJ
easat-4978	136	14	,	,	PUNCT
easat-4978	136	15	and	and	CCONJ
easat-4978	136	16	transparent	transparent	ADJ
easat-4978	136	17	account	account	NOUN
easat-4978	136	18	of	of	ADP
easat-4978	136	19	the	the	DET
easat-4978	136	20	study	study	NOUN
easat-4978	136	21	;	;	PUNCT
easat-4978	136	22	that	that	SCONJ
easat-4978	136	23	no	no	DET
easat-4978	136	24	vital	vital	ADJ
easat-4978	136	25	features	feature	NOUN
easat-4978	136	26	of	of	ADP
easat-4978	136	27	the	the	DET
easat-4978	136	28	study	study	NOUN
easat-4978	136	29	have	have	AUX
easat-4978	136	30	been	be	AUX
easat-4978	136	31	omitted	omit	VERB
easat-4978	136	32	;	;	PUNCT
easat-4978	136	33	and	and	CCONJ
easat-4978	136	34	that	that	SCONJ
easat-4978	136	35	any	any	DET
easat-4978	136	36	discrepancies	discrepancy	NOUN
easat-4978	136	37	from	from	ADP
easat-4978	136	38	the	the	DET
easat-4978	136	39	study	study	NOUN
easat-4978	136	40	as	as	SCONJ
easat-4978	136	41	planned	plan	VERB
easat-4978	136	42	have	have	AUX
easat-4978	136	43	been	be	AUX
easat-4978	136	44	explained	explain	VERB
easat-4978	136	45	.	.	PUNCT
easat-4978	137	1	this	this	DET
easat-4978	137	2	study	study	NOUN
easat-4978	137	3	followed	follow	VERB
easat-4978	137	4	all	all	DET
easat-4978	137	5	ethical	ethical	ADJ
easat-4978	137	6	practices	practice	NOUN
easat-4978	137	7	during	during	ADP
easat-4978	137	8	writing	writing	NOUN
easat-4978	137	9	.	.	PUNCT
easat-4978	138	1	copyright	copyright	NOUN
easat-4978	138	2	:	:	PUNCT
easat-4978	138	3	©	©	PROPN
easat-4978	138	4	2025	2025	NUM
easat-4978	138	5	by	by	ADP
easat-4978	138	6	the	the	DET
easat-4978	138	7	authors	author	NOUN
easat-4978	138	8	.	.	PUNCT
easat-4978	139	1	this	this	DET
easat-4978	139	2	open	open	ADJ
easat-4978	139	3	-	-	PUNCT
easat-4978	139	4	access	access	NOUN
easat-4978	139	5	article	article	NOUN
easat-4978	139	6	is	be	AUX
easat-4978	139	7	distributed	distribute	VERB
easat-4978	139	8	under	under	ADP
easat-4978	139	9	the	the	DET
easat-4978	139	10	terms	term	NOUN
easat-4978	139	11	and	and	CCONJ
easat-4978	139	12	conditions	condition	NOUN
easat-4978	139	13	of	of	ADP
easat-4978	139	14	the	the	DET
easat-4978	139	15	creative	creative	ADJ
easat-4978	139	16	commons	common	NOUN
easat-4978	139	17	attribution	attribution	NOUN
easat-4978	139	18	(	(	PUNCT
easat-4978	139	19	cc	cc	NOUN
easat-4978	139	20	by	by	ADP
easat-4978	139	21	)	)	PUNCT
easat-4978	139	22	license	license	NOUN
easat-4978	139	23	(	(	PUNCT
easat-4978	139	24	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	NOUN
easat-4978	139	25	)	)	PUNCT
easat-4978	139	26	references	reference	NOUN
easat-4978	139	27	[	[	X
easat-4978	139	28	1	1	NUM
easat-4978	139	29	]	]	PUNCT
easat-4978	139	30	a.	a.	NOUN
easat-4978	139	31	m.	m.	NOUN
easat-4978	139	32	bertone	bertone	PROPN
easat-4978	139	33	,	,	PUNCT
easat-4978	139	34	r.	r.	PROPN
easat-4978	139	35	m.	m.	PROPN
easat-4978	139	36	jafelice	jafelice	PROPN
easat-4978	139	37	,	,	PUNCT
easat-4978	139	38	l.	l.	PROPN
easat-4978	139	39	c.	c.	PROPN
easat-4978	139	40	de	de	PROPN
easat-4978	139	41	barros	barros	PROPN
easat-4978	139	42	,	,	PUNCT
easat-4978	139	43	and	and	CCONJ
easat-4978	139	44	r.	r.	PROPN
easat-4978	139	45	c.	c.	PROPN
easat-4978	139	46	bassanezi	bassanezi	PROPN
easat-4978	139	47	,	,	PUNCT
easat-4978	139	48	"	"	PUNCT
easat-4978	139	49	on	on	ADP
easat-4978	139	50	fuzzy	fuzzy	ADJ
easat-4978	139	51	solutions	solution	NOUN
easat-4978	139	52	for	for	ADP
easat-4978	139	53	partial	partial	ADJ
easat-4978	139	54	differential	differential	NOUN
easat-4978	139	55	equations	equation	NOUN
easat-4978	139	56	,	,	PUNCT
easat-4978	139	57	"	"	PUNCT
easat-4978	139	58	fuzzy	fuzzy	ADJ
easat-4978	139	59	sets	set	NOUN
easat-4978	139	60	and	and	CCONJ
easat-4978	139	61	systems	system	NOUN
easat-4978	139	62	,	,	PUNCT
easat-4978	139	63	vol	vol	NOUN
easat-4978	139	64	.	.	PROPN
easat-4978	140	1	219	219	NUM
easat-4978	140	2	,	,	PUNCT
easat-4978	140	3	pp	pp	ADJ
easat-4978	140	4	.	.	PUNCT
easat-4978	141	1	68	68	NUM
easat-4978	141	2	-	-	SYM
easat-4978	141	3	80	80	NUM
easat-4978	141	4	,	,	PUNCT
easat-4978	141	5	2013	2013	NUM
easat-4978	141	6	.	.	PUNCT
easat-4978	142	1	https://doi.org/10.1016/j.fss.2012.12.002	https://doi.org/10.1016/j.fss.2012.12.002	NOUN
easat-4978	143	1	[	[	X
easat-4978	143	2	2	2	NUM
easat-4978	143	3	]	]	PUNCT
easat-4978	143	4	h.	h.	PROPN
easat-4978	143	5	j.	j.	PROPN
easat-4978	143	6	xu	xu	PROPN
easat-4978	143	7	,	,	PUNCT
easat-4978	143	8	z.	z.	PROPN
easat-4978	143	9	b.	b.	PROPN
easat-4978	143	10	xing	xing	PROPN
easat-4978	143	11	,	,	PUNCT
easat-4978	143	12	f.	f.	PROPN
easat-4978	143	13	wang	wang	PROPN
easat-4978	143	14	,	,	PUNCT
easat-4978	143	15	and	and	CCONJ
easat-4978	143	16	z.	z.	PROPN
easat-4978	143	17	cheng	cheng	PROPN
easat-4978	143	18	,	,	PUNCT
easat-4978	143	19	"	"	PUNCT
easat-4978	143	20	review	review	NOUN
easat-4978	143	21	on	on	ADP
easat-4978	143	22	heat	heat	NOUN
easat-4978	143	23	conduction	conduction	NOUN
easat-4978	143	24	,	,	PUNCT
easat-4978	143	25	heat	heat	NOUN
easat-4978	143	26	convection	convection	NOUN
easat-4978	143	27	,	,	PUNCT
easat-4978	143	28	thermal	thermal	ADJ
easat-4978	143	29	radiation	radiation	NOUN
easat-4978	143	30	and	and	CCONJ
easat-4978	143	31	phase	phase	NOUN
easat-4978	143	32	change	change	NOUN
easat-4978	143	33	heat	heat	NOUN
easat-4978	143	34	transfer	transfer	NOUN
easat-4978	143	35	of	of	ADP
easat-4978	143	36	nanofluids	nanofluid	NOUN
easat-4978	143	37	in	in	ADP
easat-4978	143	38	porous	porous	ADJ
easat-4978	143	39	media	medium	NOUN
easat-4978	143	40	:	:	PUNCT
easat-4978	143	41	fundamentals	fundamental	NOUN
easat-4978	143	42	and	and	CCONJ
easat-4978	143	43	applications	application	NOUN
easat-4978	143	44	,	,	PUNCT
easat-4978	143	45	"	"	PUNCT
easat-4978	143	46	chemical	chemical	NOUN
easat-4978	143	47	engineering	engineering	NOUN
easat-4978	143	48	science	science	NOUN
easat-4978	143	49	,	,	PUNCT
easat-4978	143	50	vol	vol	NOUN
easat-4978	143	51	.	.	PROPN
easat-4978	143	52	195	195	NUM
easat-4978	143	53	,	,	PUNCT
easat-4978	143	54	pp	pp	ADJ
easat-4978	143	55	.	.	PUNCT
easat-4978	144	1	462	462	NUM
easat-4978	144	2	-	-	SYM
easat-4978	144	3	483	483	NUM
easat-4978	144	4	,	,	PUNCT
easat-4978	144	5	2019	2019	NUM
easat-4978	144	6	.	.	PUNCT
easat-4978	145	1	https://doi.org/10.1016/j.ces.2018.09.045	https://doi.org/10.1016/j.ces.2018.09.045	PROPN
easat-4978	145	2	[	[	X
easat-4978	145	3	3	3	NUM
easat-4978	145	4	]	]	SYM
easat-4978	145	5	w.-b	w.-b	PROPN
easat-4978	145	6	.	.	PUNCT
easat-4978	145	7	yuan	yuan	PROPN
easat-4978	145	8	,	,	PUNCT
easat-4978	145	9	n.	n.	PROPN
easat-4978	145	10	yu	yu	PROPN
easat-4978	145	11	,	,	PUNCT
easat-4978	145	12	l.-y	l.-y	PROPN
easat-4978	145	13	.	.	PUNCT
easat-4978	146	1	li	li	PROPN
easat-4978	146	2	,	,	PUNCT
easat-4978	146	3	and	and	CCONJ
easat-4978	146	4	y.	y.	PROPN
easat-4978	146	5	fang	fang	PROPN
easat-4978	146	6	,	,	PUNCT
easat-4978	146	7	"	"	PUNCT
easat-4978	146	8	heat	heat	NOUN
easat-4978	146	9	transfer	transfer	NOUN
easat-4978	146	10	analysis	analysis	NOUN
easat-4978	146	11	in	in	ADP
easat-4978	146	12	multi	multi	ADJ
easat-4978	146	13	-	-	ADJ
easat-4978	146	14	layered	layered	ADJ
easat-4978	146	15	materials	material	NOUN
easat-4978	146	16	with	with	ADP
easat-4978	146	17	interfacial	interfacial	ADJ
easat-4978	146	18	thermal	thermal	ADJ
easat-4978	146	19	resistance	resistance	NOUN
easat-4978	146	20	,	,	PUNCT
easat-4978	146	21	"	"	PUNCT
easat-4978	146	22	composite	composite	ADJ
easat-4978	146	23	structures	structure	NOUN
easat-4978	146	24	,	,	PUNCT
easat-4978	146	25	vol	vol	NOUN
easat-4978	146	26	.	.	PROPN
easat-4978	146	27	293	293	NUM
easat-4978	146	28	,	,	PUNCT
easat-4978	146	29	p.	p.	NOUN
easat-4978	146	30	115728	115728	NUM
easat-4978	146	31	,	,	PUNCT
easat-4978	146	32	2022	2022	NUM
easat-4978	146	33	.	.	PUNCT
easat-4978	147	1	https://doi.org/10.1016/j.compstruct.2022.115728	https://doi.org/10.1016/j.compstruct.2022.115728	PROPN
easat-4978	148	1	[	[	X
easat-4978	148	2	4	4	X
easat-4978	148	3	]	]	PUNCT
easat-4978	148	4	s.	s.	PROPN
easat-4978	148	5	hariyanto	hariyanto	PROPN
easat-4978	148	6	,	,	PUNCT
easat-4978	148	7	y.	y.	PROPN
easat-4978	148	8	d.	d.	PROPN
easat-4978	148	9	sumanto	sumanto	PROPN
easat-4978	148	10	,	,	PUNCT
easat-4978	148	11	b.	b.	PROPN
easat-4978	148	12	w.	w.	PROPN
easat-4978	148	13	aji	aji	PROPN
easat-4978	148	14	,	,	PUNCT
easat-4978	148	15	s.	s.	PROPN
easat-4978	148	16	n.	n.	PROPN
easat-4978	148	17	chasanah	chasanah	PROPN
easat-4978	148	18	,	,	PUNCT
easat-4978	148	19	and	and	CCONJ
easat-4978	148	20	a.	a.	PROPN
easat-4978	148	21	a.	a.	PROPN
easat-4978	148	22	r.	r.	PROPN
easat-4978	148	23	raharjo	raharjo	PROPN
easat-4978	148	24	,	,	PUNCT
easat-4978	148	25	"	"	PUNCT
easat-4978	148	26	two	two	NUM
easat-4978	148	27	phase	phase	NOUN
easat-4978	148	28	heat	heat	NOUN
easat-4978	148	29	transfer	transfer	NOUN
easat-4978	148	30	on	on	ADP
easat-4978	148	31	porous	porous	ADJ
easat-4978	148	32	media	medium	NOUN
easat-4978	148	33	base	base	NOUN
easat-4978	148	34	termite	termite	ADJ
easat-4978	148	35	nest	nest	NOUN
easat-4978	148	36	structure	structure	NOUN
easat-4978	148	37	with	with	ADP
easat-4978	148	38	finite	finite	ADJ
easat-4978	148	39	element	element	NOUN
easat-4978	148	40	method	method	NOUN
easat-4978	148	41	,	,	PUNCT
easat-4978	148	42	"	"	PUNCT
easat-4978	148	43	mathematical	mathematical	ADJ
easat-4978	148	44	modelling	modelling	NOUN
easat-4978	148	45	of	of	ADP
easat-4978	148	46	engineering	engineering	NOUN
easat-4978	148	47	problems	problem	NOUN
easat-4978	148	48	,	,	PUNCT
easat-4978	148	49	vol	vol	NOUN
easat-4978	148	50	.	.	PROPN
easat-4978	149	1	11	11	NUM
easat-4978	149	2	,	,	PUNCT
easat-4978	149	3	no	no	INTJ
easat-4978	149	4	.	.	NOUN
easat-4978	149	5	6	6	NUM
easat-4978	149	6	,	,	PUNCT
easat-4978	149	7	pp	pp	ADJ
easat-4978	149	8	.	.	PUNCT
easat-4978	150	1	1520–1528	1520–1528	NUM
easat-4978	150	2	,	,	PUNCT
easat-4978	150	3	2024	2024	NUM
easat-4978	150	4	.	.	PUNCT
easat-4978	151	1	https://doi.org/10.18280/mmep.110612	https://doi.org/10.18280/mmep.110612	PROPN
easat-4978	152	1	[	[	X
easat-4978	152	2	5	5	NUM
easat-4978	152	3	]	]	PUNCT
easat-4978	152	4	p.	p.	NOUN
easat-4978	152	5	acar	acar	NOUN
easat-4978	152	6	,	,	PUNCT
easat-4978	152	7	"	"	PUNCT
easat-4978	152	8	recent	recent	ADJ
easat-4978	152	9	progress	progress	NOUN
easat-4978	152	10	of	of	ADP
easat-4978	152	11	uncertainty	uncertainty	NOUN
easat-4978	152	12	quantification	quantification	NOUN
easat-4978	152	13	in	in	ADP
easat-4978	152	14	small	small	ADJ
easat-4978	152	15	-	-	PUNCT
easat-4978	152	16	scale	scale	NOUN
easat-4978	152	17	materials	material	NOUN
easat-4978	152	18	science	science	NOUN
easat-4978	152	19	,	,	PUNCT
easat-4978	152	20	"	"	PUNCT
easat-4978	152	21	progress	progress	NOUN
easat-4978	152	22	in	in	ADP
easat-4978	152	23	materials	material	NOUN
easat-4978	152	24	science	science	NOUN
easat-4978	152	25	,	,	PUNCT
easat-4978	152	26	vol	vol	NOUN
easat-4978	152	27	.	.	PROPN
easat-4978	152	28	117	117	NUM
easat-4978	152	29	,	,	PUNCT
easat-4978	152	30	p.	p.	NOUN
easat-4978	152	31	100723	100723	NUM
easat-4978	152	32	,	,	PUNCT
easat-4978	152	33	2021	2021	NUM
easat-4978	152	34	.	.	PUNCT
easat-4978	153	1	https://doi.org/10.1016/j.pmatsci.2020.100723	https://doi.org/10.1016/j.pmatsci.2020.100723	PROPN
easat-4978	153	2	[	[	X
easat-4978	153	3	6	6	NUM
easat-4978	153	4	]	]	PUNCT
easat-4978	153	5	l.	l.	PROPN
easat-4978	153	6	a.	a.	PROPN
easat-4978	153	7	zadeh	zadeh	PROPN
easat-4978	153	8	,	,	PUNCT
easat-4978	153	9	"	"	PUNCT
easat-4978	153	10	fuzzy	fuzzy	ADJ
easat-4978	153	11	sets	set	NOUN
easat-4978	153	12	,	,	PUNCT
easat-4978	153	13	"	"	PUNCT
easat-4978	153	14	information	information	NOUN
easat-4978	153	15	and	and	CCONJ
easat-4978	153	16	control	control	NOUN
easat-4978	153	17	,	,	PUNCT
easat-4978	153	18	vol	vol	NOUN
easat-4978	153	19	.	.	PROPN
easat-4978	153	20	8	8	NUM
easat-4978	153	21	,	,	PUNCT
easat-4978	153	22	no	no	INTJ
easat-4978	153	23	.	.	NOUN
easat-4978	153	24	3	3	NUM
easat-4978	153	25	,	,	PUNCT
easat-4978	153	26	pp	pp	ADJ
easat-4978	153	27	.	.	PUNCT
easat-4978	154	1	338	338	NUM
easat-4978	154	2	-	-	SYM
easat-4978	154	3	353	353	NUM
easat-4978	154	4	,	,	PUNCT
easat-4978	154	5	1965	1965	NUM
easat-4978	154	6	.	.	PUNCT
easat-4978	155	1	https://doi.org/10.1016/s00199958(65)90241-x	https://doi.org/10.1016/s00199958(65)90241-x	X
easat-4978	156	1	[	[	X
easat-4978	156	2	7	7	NUM
easat-4978	156	3	]	]	PUNCT
easat-4978	156	4	r.	r.	PROPN
easat-4978	156	5	e.	e.	PROPN
easat-4978	156	6	bellman	bellman	PROPN
easat-4978	156	7	and	and	CCONJ
easat-4978	156	8	l.	l.	PROPN
easat-4978	156	9	a.	a.	PROPN
easat-4978	156	10	zadeh	zadeh	PROPN
easat-4978	156	11	,	,	PUNCT
easat-4978	156	12	"	"	PUNCT
easat-4978	156	13	decision	decision	NOUN
easat-4978	156	14	-	-	PUNCT
easat-4978	156	15	making	making	NOUN
easat-4978	156	16	in	in	ADP
easat-4978	156	17	a	a	DET
easat-4978	156	18	fuzzy	fuzzy	ADJ
easat-4978	156	19	environment	environment	NOUN
easat-4978	156	20	,	,	PUNCT
easat-4978	156	21	"	"	PUNCT
easat-4978	156	22	management	management	NOUN
easat-4978	156	23	science	science	NOUN
easat-4978	156	24	,	,	PUNCT
easat-4978	156	25	vol	vol	NOUN
easat-4978	156	26	.	.	PROPN
easat-4978	156	27	17	17	NUM
easat-4978	156	28	,	,	PUNCT
easat-4978	156	29	no	no	INTJ
easat-4978	156	30	.	.	NOUN
easat-4978	156	31	4	4	NUM
easat-4978	156	32	,	,	PUNCT
easat-4978	156	33	pp	pp	ADJ
easat-4978	156	34	.	.	PUNCT
easat-4978	157	1	b141	b141	VERB
easat-4978	157	2	-	-	SYM
easat-4978	157	3	b-164	b-164	NOUN
easat-4978	157	4	,	,	PUNCT
easat-4978	157	5	1970	1970	NUM
easat-4978	157	6	.	.	PUNCT
easat-4978	158	1	https://doi.org/10.1287/mnsc.17.4.b141	https://doi.org/10.1287/mnsc.17.4.b141	NOUN
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easat-4978	158	3	8	8	NUM
easat-4978	158	4	]	]	PUNCT
easat-4978	158	5	q.-l	q.-l	ADV
easat-4978	158	6	.	.	PUNCT
easat-4978	159	1	zhang	zhang	PROPN
easat-4978	159	2	,	,	PUNCT
easat-4978	159	3	f.	f.	PROPN
easat-4978	159	4	liu	liu	PROPN
easat-4978	159	5	,	,	PUNCT
easat-4978	159	6	c.-q	c.-q	PROPN
easat-4978	159	7	.	.	PUNCT
easat-4978	160	1	fan	fan	PROPN
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easat-4978	160	3	and	and	CCONJ
easat-4978	160	4	w.-h	w.-h	NOUN
easat-4978	160	5	.	.	PUNCT
easat-4978	161	1	xie	xie	PROPN
easat-4978	161	2	,	,	PUNCT
easat-4978	161	3	"	"	PUNCT
easat-4978	161	4	fuzzy	fuzzy	ADJ
easat-4978	161	5	numbers	number	NOUN
easat-4978	161	6	intuitionistic	intuitionistic	ADJ
easat-4978	161	7	fuzzy	fuzzy	ADJ
easat-4978	161	8	descriptor	descriptor	NOUN
easat-4978	161	9	systems	system	NOUN
easat-4978	161	10	,	,	PUNCT
easat-4978	161	11	"	"	PUNCT
easat-4978	161	12	information	information	NOUN
easat-4978	161	13	sciences	science	NOUN
easat-4978	161	14	,	,	PUNCT
easat-4978	161	15	vol	vol	NOUN
easat-4978	161	16	.	.	PUNCT
easat-4978	162	1	469	469	NUM
easat-4978	162	2	,	,	PUNCT
easat-4978	162	3	pp	pp	ADJ
easat-4978	162	4	.	.	PUNCT
easat-4978	163	1	44	44	NUM
easat-4978	163	2	-	-	SYM
easat-4978	163	3	59	59	NUM
easat-4978	163	4	,	,	PUNCT
easat-4978	163	5	2018	2018	NUM
easat-4978	163	6	.	.	PUNCT
easat-4978	164	1	https://doi.org/10.1016/j.ins.2018.08.016	https://doi.org/10.1016/j.ins.2018.08.016	PRON
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easat-4978	164	3	9	9	NUM
easat-4978	164	4	]	]	PUNCT
easat-4978	164	5	b.	b.	PROPN
easat-4978	164	6	w.	w.	PROPN
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easat-4978	164	8	,	,	PUNCT
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easat-4978	164	10	n.	n.	PROPN
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easat-4978	164	12	,	,	PUNCT
easat-4978	164	13	b.	b.	PROPN
easat-4978	164	14	irawanto	irawanto	PROPN
easat-4978	164	15	,	,	PUNCT
easat-4978	164	16	b.	b.	PROPN
easat-4978	164	17	surarso	surarso	PROPN
easat-4978	164	18	,	,	PUNCT
easat-4978	164	19	f.	f.	PROPN
easat-4978	164	20	farikhin	farikhin	PROPN
easat-4978	164	21	,	,	PUNCT
easat-4978	164	22	and	and	CCONJ
easat-4978	164	23	y.	y.	PROPN
easat-4978	164	24	dasril	dasril	PROPN
easat-4978	164	25	,	,	PUNCT
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easat-4978	164	27	fuzzy	fuzzy	ADJ
easat-4978	164	28	clustering	clustering	NOUN
easat-4978	164	29	by	by	ADP
easat-4978	164	30	local	local	ADJ
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easat-4978	164	32	of	of	ADP
easat-4978	164	33	memberships	membership	NOUN
easat-4978	164	34	in	in	ADP
easat-4978	164	35	different	different	ADJ
easat-4978	164	36	distance	distance	NOUN
easat-4978	164	37	metrics	metric	NOUN
easat-4978	164	38	,	,	PUNCT
easat-4978	164	39	"	"	PUNCT
easat-4978	164	40	in	in	ADP
easat-4978	164	41	aip	aip	PROPN
easat-4978	164	42	conference	conference	NOUN
easat-4978	164	43	proceedings	proceeding	NOUN
easat-4978	164	44	,	,	PUNCT
easat-4978	164	45	2024	2024	NUM
easat-4978	164	46	,	,	PUNCT
easat-4978	164	47	vol	vol	NOUN
easat-4978	164	48	.	.	NOUN
easat-4978	164	49	3046	3046	NUM
easat-4978	164	50	,	,	PUNCT
easat-4978	164	51	no	no	INTJ
easat-4978	164	52	.	.	NOUN
easat-4978	164	53	1	1	NUM
easat-4978	164	54	:	:	PUNCT
easat-4978	164	55	aip	aip	PROPN
easat-4978	164	56	publishing	publishing	NOUN
easat-4978	164	57	.	.	PUNCT
easat-4978	165	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
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easat-4978	165	3	https://doi.org/10.1016/j.ces.2018.09.045	https://doi.org/10.1016/j.ces.2018.09.045	PROPN
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easat-4978	165	5	https://doi.org/10.18280/mmep.110612	https://doi.org/10.18280/mmep.110612	PROPN
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easat-4978	165	7	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	PROPN
easat-4978	165	8	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	PROPN
easat-4978	165	9	https://doi.org/10.1287/mnsc.17.4.b141	https://doi.org/10.1287/mnsc.17.4.b141	VERB
easat-4978	165	10	https://doi.org/10.1016/j.ins.2018.08.016	https://doi.org/10.1016/j.ins.2018.08.016	PROPN
easat-4978	165	11	1930	1930	NUM
easat-4978	165	12	edelweiss	edelweiss	PROPN
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easat-4978	165	19	2576	2576	NUM
easat-4978	165	20	-	-	SYM
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easat-4978	165	22	vol	vol	NOUN
easat-4978	165	23	.	.	PROPN
easat-4978	166	1	9	9	NUM
easat-4978	166	2	,	,	PUNCT
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easat-4978	166	4	.	.	NOUN
easat-4978	166	5	2	2	NUM
easat-4978	166	6	:	:	SYM
easat-4978	166	7	1923	1923	NUM
easat-4978	166	8	-	-	SYM
easat-4978	166	9	1930	1930	NUM
easat-4978	166	10	,	,	PUNCT
easat-4978	166	11	2025	2025	NUM
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easat-4978	166	13	:	:	PUNCT
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easat-4978	166	16	2025	2025	NUM
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easat-4978	166	23	gate	gate	NOUN
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easat-4978	167	2	10	10	NUM
easat-4978	167	3	]	]	PUNCT
easat-4978	167	4	b.	b.	PROPN
easat-4978	167	5	w.	w.	PROPN
easat-4978	167	6	aji	aji	PROPN
easat-4978	167	7	et	et	PROPN
easat-4978	167	8	al	al	PROPN
easat-4978	167	9	.	.	PROPN
easat-4978	167	10	,	,	PUNCT
easat-4978	167	11	"	"	PUNCT
easat-4978	167	12	pulsar	pulsar	NOUN
easat-4978	167	13	star	star	NOUN
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easat-4978	167	18	neuro	neuro	PROPN
easat-4978	167	19	fuzzy	fuzzy	ADJ
easat-4978	167	20	inference	inference	NOUN
easat-4978	167	21	system	system	NOUN
easat-4978	167	22	with	with	ADP
easat-4978	167	23	subtractive	subtractive	ADJ
easat-4978	167	24	cluster	cluster	NOUN
easat-4978	167	25	,	,	PUNCT
easat-4978	167	26	"	"	PUNCT
easat-4978	167	27	in	in	ADP
easat-4978	167	28	aip	aip	PROPN
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easat-4978	167	30	proceedings	proceeding	NOUN
easat-4978	167	31	,	,	PUNCT
easat-4978	167	32	2024	2024	NUM
easat-4978	167	33	,	,	PUNCT
easat-4978	167	34	vol	vol	NOUN
easat-4978	167	35	.	.	NOUN
easat-4978	167	36	3046	3046	NUM
easat-4978	167	37	,	,	PUNCT
easat-4978	167	38	no	no	INTJ
easat-4978	167	39	.	.	NOUN
easat-4978	167	40	1	1	NUM
easat-4978	167	41	:	:	PUNCT
easat-4978	167	42	aip	aip	PROPN
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easat-4978	167	44	.	.	PUNCT
easat-4978	168	1	[	[	X
easat-4978	168	2	11	11	NUM
easat-4978	168	3	]	]	PUNCT
easat-4978	168	4	b.	b.	PROPN
easat-4978	168	5	w.	w.	PROPN
easat-4978	168	6	aji	aji	PROPN
easat-4978	168	7	et	et	PROPN
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easat-4978	168	9	.	.	PROPN
easat-4978	168	10	,	,	PUNCT
easat-4978	168	11	"	"	PUNCT
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easat-4978	168	15	-	-	PUNCT
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easat-4978	168	28	proceedings	proceeding	NOUN
easat-4978	168	29	,	,	PUNCT
easat-4978	168	30	2024	2024	NUM
easat-4978	168	31	,	,	PUNCT
easat-4978	168	32	vol	vol	NOUN
easat-4978	168	33	.	.	NOUN
easat-4978	168	34	3046	3046	NUM
easat-4978	168	35	,	,	PUNCT
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easat-4978	168	37	.	.	NOUN
easat-4978	168	38	1	1	NUM
easat-4978	168	39	:	:	PUNCT
easat-4978	168	40	aip	aip	PROPN
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easat-4978	168	42	.	.	PUNCT
easat-4978	169	1	[	[	X
easat-4978	169	2	12	12	NUM
easat-4978	169	3	]	]	PUNCT
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easat-4978	169	5	a.	a.	PROPN
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easat-4978	169	7	,	,	PUNCT
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easat-4978	169	9	,	,	PUNCT
easat-4978	169	10	b.	b.	PROPN
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easat-4978	169	13	b.	b.	PROPN
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easat-4978	169	16	and	and	CCONJ
easat-4978	169	17	b.	b.	PROPN
easat-4978	169	18	w.	w.	PROPN
easat-4978	169	19	aji	aji	PROPN
easat-4978	169	20	,	,	PUNCT
easat-4978	169	21	"	"	PUNCT
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easat-4978	169	24	fuzzy	fuzzy	ADJ
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easat-4978	169	26	series	series	PROPN
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easat-4978	169	32	logical	logical	ADJ
easat-4978	169	33	relationship	relationship	NOUN
easat-4978	169	34	,	,	PUNCT
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easat-4978	169	41	,	,	PUNCT
easat-4978	169	42	"	"	PUNCT
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easat-4978	169	48	,	,	PUNCT
easat-4978	169	49	vol	vol	NOUN
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easat-4978	169	56	,	,	PUNCT
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easat-4978	170	1	1309–1323	1309–1323	NUM
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easat-4978	170	4	.	.	PUNCT
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easat-4978	171	34	aip	aip	PROPN
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easat-4978	172	8	,	,	PUNCT
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easat-4978	173	4	b.	b.	PROPN
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easat-4978	173	9	.	.	PROPN
easat-4978	173	10	,	,	PUNCT
easat-4978	173	11	"	"	PUNCT
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easat-4978	173	43	1	1	NUM
easat-4978	173	44	:	:	PUNCT
easat-4978	173	45	aip	aip	PROPN
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easat-4978	173	47	.	.	PUNCT
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easat-4978	174	2	15	15	NUM
easat-4978	174	3	]	]	X
easat-4978	174	4	v.	v.	CCONJ
easat-4978	174	5	ananthi	ananthi	PROPN
easat-4978	174	6	and	and	CCONJ
easat-4978	174	7	p.	p.	PROPN
easat-4978	174	8	balasubramaniam	balasubramaniam	PROPN
easat-4978	174	9	,	,	PUNCT
easat-4978	174	10	"	"	PUNCT
easat-4978	174	11	a	a	DET
easat-4978	174	12	new	new	ADJ
easat-4978	174	13	image	image	NOUN
easat-4978	174	14	denoising	denoising	NOUN
easat-4978	174	15	method	method	NOUN
easat-4978	174	16	using	use	VERB
easat-4978	174	17	interval	interval	NOUN
easat-4978	174	18	-	-	PUNCT
easat-4978	174	19	valued	value	VERB
easat-4978	174	20	intuitionistic	intuitionistic	ADJ
easat-4978	174	21	fuzzy	fuzzy	ADJ
easat-4978	174	22	sets	set	NOUN
easat-4978	174	23	for	for	ADP
easat-4978	174	24	the	the	DET
easat-4978	174	25	removal	removal	NOUN
easat-4978	174	26	of	of	ADP
easat-4978	174	27	impulse	impulse	ADJ
easat-4978	174	28	noise	noise	NOUN
easat-4978	174	29	,	,	PUNCT
easat-4978	174	30	"	"	PUNCT
easat-4978	174	31	signal	signal	NOUN
easat-4978	174	32	processing	processing	NOUN
easat-4978	174	33	,	,	PUNCT
easat-4978	174	34	vol	vol	NOUN
easat-4978	174	35	.	.	PROPN
easat-4978	174	36	121	121	NUM
easat-4978	174	37	,	,	PUNCT
easat-4978	174	38	pp	pp	ADJ
easat-4978	174	39	.	.	PUNCT
easat-4978	175	1	81	81	NUM
easat-4978	175	2	-	-	SYM
easat-4978	175	3	93	93	NUM
easat-4978	175	4	,	,	PUNCT
easat-4978	175	5	2016	2016	NUM
easat-4978	175	6	.	.	PUNCT
easat-4978	176	1	https://doi.org/10.1016/j.sigpro.2015.10.030	https://doi.org/10.1016/j.sigpro.2015.10.030	PROPN
easat-4978	177	1	[	[	X
easat-4978	177	2	16	16	NUM
easat-4978	177	3	]	]	X
easat-4978	177	4	i.	i.	PROPN
easat-4978	177	5	k.	k.	PROPN
easat-4978	177	6	vlachos	vlachos	PROPN
easat-4978	177	7	and	and	CCONJ
easat-4978	177	8	g.	g.	PROPN
easat-4978	177	9	d.	d.	PROPN
easat-4978	177	10	sergiadis	sergiadis	PROPN
easat-4978	177	11	,	,	PUNCT
easat-4978	177	12	"	"	PUNCT
easat-4978	177	13	towards	towards	ADP
easat-4978	177	14	intuitionistic	intuitionistic	ADJ
easat-4978	177	15	fuzzy	fuzzy	ADJ
easat-4978	177	16	image	image	NOUN
easat-4978	177	17	processing	processing	NOUN
easat-4978	177	18	,	,	PUNCT
easat-4978	177	19	"	"	PUNCT
easat-4978	177	20	in	in	ADP
easat-4978	177	21	international	international	ADJ
easat-4978	177	22	conference	conference	NOUN
easat-4978	177	23	on	on	ADP
easat-4978	177	24	computational	computational	ADJ
easat-4978	177	25	intelligence	intelligence	NOUN
easat-4978	177	26	for	for	ADP
easat-4978	177	27	modelling	modelling	NOUN
easat-4978	177	28	,	,	PUNCT
easat-4978	177	29	control	control	NOUN
easat-4978	177	30	and	and	CCONJ
easat-4978	177	31	automation	automation	NOUN
easat-4978	177	32	and	and	CCONJ
easat-4978	177	33	international	international	ADJ
easat-4978	177	34	conference	conference	NOUN
easat-4978	177	35	on	on	ADP
easat-4978	177	36	intelligent	intelligent	ADJ
easat-4978	177	37	agents	agent	NOUN
easat-4978	177	38	,	,	PUNCT
easat-4978	177	39	web	web	NOUN
easat-4978	177	40	technologies	technology	NOUN
easat-4978	177	41	and	and	CCONJ
easat-4978	177	42	internet	internet	NOUN
easat-4978	177	43	commerce	commerce	NOUN
easat-4978	177	44	(	(	PUNCT
easat-4978	177	45	cimca	cimca	PROPN
easat-4978	177	46	-	-	PUNCT
easat-4978	177	47	iawtic'06	iawtic'06	PROPN
easat-4978	177	48	)	)	PUNCT
easat-4978	177	49	,	,	PUNCT
easat-4978	177	50	2005	2005	NUM
easat-4978	177	51	,	,	PUNCT
easat-4978	177	52	vol	vol	NOUN
easat-4978	177	53	.	.	NOUN
easat-4978	177	54	1	1	NUM
easat-4978	177	55	:	:	PUNCT
easat-4978	177	56	ieee	ieee	NOUN
easat-4978	177	57	,	,	PUNCT
easat-4978	177	58	pp	pp	ADJ
easat-4978	177	59	.	.	PUNCT
easat-4978	178	1	2	2	NUM
easat-4978	178	2	-	-	SYM
easat-4978	178	3	7	7	NUM
easat-4978	178	4	.	.	PUNCT
easat-4978	179	1	[	[	X
easat-4978	179	2	17	17	NUM
easat-4978	179	3	]	]	X
easat-4978	179	4	o.	o.	PROPN
easat-4978	179	5	castillo	castillo	PROPN
easat-4978	179	6	,	,	PUNCT
easat-4978	179	7	"	"	PUNCT
easat-4978	179	8	optimization	optimization	NOUN
easat-4978	179	9	of	of	ADP
easat-4978	179	10	type-2	type-2	NUM
easat-4978	179	11	and	and	CCONJ
easat-4978	179	12	intuitionistic	intuitionistic	ADJ
easat-4978	179	13	fuzzy	fuzzy	ADJ
easat-4978	179	14	systems	system	NOUN
easat-4978	179	15	in	in	ADP
easat-4978	179	16	intelligent	intelligent	ADJ
easat-4978	179	17	control	control	NOUN
easat-4978	179	18	,	,	PUNCT
easat-4978	179	19	"	"	PUNCT
easat-4978	179	20	advances	advance	NOUN
easat-4978	179	21	in	in	ADP
easat-4978	179	22	intelligent	intelligent	ADJ
easat-4978	179	23	systems	system	NOUN
easat-4978	179	24	and	and	CCONJ
easat-4978	179	25	computing	computing	NOUN
easat-4978	179	26	,	,	PUNCT
easat-4978	179	27	vol	vol	NOUN
easat-4978	179	28	.	.	PUNCT
easat-4978	180	1	1081	1081	NUM
easat-4978	180	2	pp	pp	NOUN
easat-4978	180	3	.	.	PUNCT
easat-4978	181	1	292–300	292–300	NUM
easat-4978	181	2	,	,	PUNCT
easat-4978	181	3	2021	2021	NUM
easat-4978	181	4	.	.	PUNCT
easat-4978	182	1	https://doi.org/10.1007/978-3-030-47024-1_29	https://doi.org/10.1007/978-3-030-47024-1_29	VERB
easat-4978	182	2	[	[	X
easat-4978	182	3	18	18	NUM
easat-4978	182	4	]	]	X
easat-4978	182	5	f.	f.	PROPN
easat-4978	182	6	kutlu	kutlu	PROPN
easat-4978	182	7	,	,	PUNCT
easat-4978	182	8	ö.	ö.	PROPN
easat-4978	182	9	atan	atan	PROPN
easat-4978	182	10	,	,	PUNCT
easat-4978	182	11	and	and	CCONJ
easat-4978	182	12	o.	o.	PROPN
easat-4978	182	13	silahtar	silahtar	NOUN
easat-4978	182	14	,	,	PUNCT
easat-4978	182	15	"	"	PUNCT
easat-4978	182	16	intuitionistic	intuitionistic	ADJ
easat-4978	182	17	fuzzy	fuzzy	ADJ
easat-4978	182	18	adaptive	adaptive	NOUN
easat-4978	182	19	sliding	slide	VERB
easat-4978	182	20	mode	mode	NOUN
easat-4978	182	21	control	control	NOUN
easat-4978	182	22	of	of	ADP
easat-4978	182	23	nonlinear	nonlinear	ADJ
easat-4978	182	24	systems	system	NOUN
easat-4978	182	25	,	,	PUNCT
easat-4978	182	26	"	"	PUNCT
easat-4978	182	27	soft	soft	ADJ
easat-4978	182	28	computing	computing	NOUN
easat-4978	182	29	,	,	PUNCT
easat-4978	182	30	vol	vol	NOUN
easat-4978	182	31	.	.	PROPN
easat-4978	182	32	24	24	NUM
easat-4978	182	33	,	,	PUNCT
easat-4978	182	34	no	no	INTJ
easat-4978	182	35	.	.	NOUN
easat-4978	182	36	1	1	NUM
easat-4978	182	37	,	,	PUNCT
easat-4978	182	38	pp	pp	ADJ
easat-4978	182	39	.	.	PUNCT
easat-4978	183	1	53	53	NUM
easat-4978	183	2	-	-	SYM
easat-4978	183	3	64	64	NUM
easat-4978	183	4	,	,	PUNCT
easat-4978	183	5	2020	2020	NUM
easat-4978	183	6	.	.	PUNCT
easat-4978	184	1	https://doi.org/10.1007/s00500-019-04286-8/metrics	https://doi.org/10.1007/s00500-019-04286-8/metric	NOUN
easat-4978	185	1	[	[	X
easat-4978	185	2	19	19	NUM
easat-4978	185	3	]	]	PUNCT
easat-4978	185	4	h.	h.	PROPN
easat-4978	185	5	t.	t.	PROPN
easat-4978	185	6	nguyen	nguyen	PROPN
easat-4978	185	7	,	,	PUNCT
easat-4978	185	8	"	"	PUNCT
easat-4978	185	9	a	a	DET
easat-4978	185	10	note	note	NOUN
easat-4978	185	11	on	on	ADP
easat-4978	185	12	the	the	DET
easat-4978	185	13	extension	extension	NOUN
easat-4978	185	14	principle	principle	NOUN
easat-4978	185	15	for	for	ADP
easat-4978	185	16	fuzzy	fuzzy	ADJ
easat-4978	185	17	sets	set	NOUN
easat-4978	185	18	,	,	PUNCT
easat-4978	185	19	"	"	PUNCT
easat-4978	185	20	journal	journal	NOUN
easat-4978	185	21	of	of	ADP
easat-4978	185	22	mathematical	mathematical	ADJ
easat-4978	185	23	analysis	analysis	NOUN
easat-4978	185	24	and	and	CCONJ
easat-4978	185	25	applications	application	NOUN
easat-4978	185	26	,	,	PUNCT
easat-4978	185	27	vol	vol	NOUN
easat-4978	185	28	.	.	PROPN
easat-4978	185	29	64	64	NUM
easat-4978	185	30	,	,	PUNCT
easat-4978	185	31	no	no	INTJ
easat-4978	185	32	.	.	NOUN
easat-4978	185	33	2	2	NUM
easat-4978	185	34	,	,	PUNCT
easat-4978	185	35	pp	pp	ADJ
easat-4978	185	36	.	.	PUNCT
easat-4978	185	37	369	369	NUM
easat-4978	185	38	-	-	SYM
easat-4978	185	39	380	380	NUM
easat-4978	185	40	,	,	PUNCT
easat-4978	185	41	1978	1978	NUM
easat-4978	185	42	.	.	PUNCT
easat-4978	186	1	https://doi.org/10.1016/0022-247x(78)90045-8	https://doi.org/10.1016/0022-247x(78)90045-8	PROPN
easat-4978	186	2	.	.	PUNCT
easat-4978	187	1	[	[	X
easat-4978	187	2	20	20	NUM
easat-4978	187	3	]	]	X
easat-4978	187	4	l.	l.	PROPN
easat-4978	187	5	c.	c.	PROPN
easat-4978	187	6	de	de	PROPN
easat-4978	187	7	barros	barros	PROPN
easat-4978	187	8	,	,	PUNCT
easat-4978	187	9	r.	r.	PROPN
easat-4978	187	10	c.	c.	PROPN
easat-4978	187	11	bassanezi	bassanezi	PROPN
easat-4978	187	12	,	,	PUNCT
easat-4978	187	13	and	and	CCONJ
easat-4978	187	14	p.	p.	NOUN
easat-4978	187	15	a.	a.	PROPN
easat-4978	187	16	tonelli	tonelli	PROPN
easat-4978	187	17	,	,	PUNCT
easat-4978	187	18	on	on	ADP
easat-4978	187	19	the	the	DET
easat-4978	187	20	continuity	continuity	NOUN
easat-4978	187	21	of	of	ADP
easat-4978	187	22	the	the	DET
easat-4978	187	23	zadeh	zadeh	PROPN
easat-4978	187	24	’s	’s	PART
easat-4978	187	25	extension	extension	PROPN
easat-4978	187	26	czech	czech	PROPN
easat-4978	187	27	republic	republic	NOUN
easat-4978	187	28	:	:	PUNCT
easat-4978	187	29	prague	prague	PROPN
easat-4978	187	30	,	,	PUNCT
easat-4978	187	31	1997	1997	NUM
easat-4978	187	32	.	.	PUNCT
easat-4978	188	1	[	[	X
easat-4978	188	2	21	21	NUM
easat-4978	188	3	]	]	X
easat-4978	188	4	y.	y.	PROPN
easat-4978	188	5	h.	h.	PROPN
easat-4978	188	6	goo	goo	PROPN
easat-4978	188	7	and	and	CCONJ
easat-4978	188	8	j.	j.	PROPN
easat-4978	188	9	s.	s.	PROPN
easat-4978	188	10	park	park	PROPN
easat-4978	188	11	,	,	PUNCT
easat-4978	188	12	"	"	PUNCT
easat-4978	188	13	on	on	ADP
easat-4978	188	14	the	the	DET
easat-4978	188	15	continuity	continuity	NOUN
easat-4978	188	16	of	of	ADP
easat-4978	188	17	the	the	DET
easat-4978	188	18	zadeh	zadeh	PROPN
easat-4978	188	19	extensions	extension	NOUN
easat-4978	188	20	,	,	PUNCT
easat-4978	188	21	"	"	PUNCT
easat-4978	188	22	journal	journal	NOUN
easat-4978	188	23	of	of	ADP
easat-4978	188	24	the	the	DET
easat-4978	188	25	chungcheong	chungcheong	PROPN
easat-4978	188	26	mathematical	mathematical	ADJ
easat-4978	188	27	society	society	NOUN
easat-4978	188	28	,	,	PUNCT
easat-4978	188	29	vol	vol	NOUN
easat-4978	188	30	.	.	PROPN
easat-4978	188	31	20	20	NUM
easat-4978	188	32	,	,	PUNCT
easat-4978	188	33	no	no	INTJ
easat-4978	188	34	.	.	NOUN
easat-4978	188	35	4	4	NUM
easat-4978	188	36	,	,	PUNCT
easat-4978	188	37	pp	pp	ADJ
easat-4978	188	38	.	.	PUNCT
easat-4978	189	1	525	525	NUM
easat-4978	189	2	-	-	SYM
easat-4978	189	3	525	525	NUM
easat-4978	189	4	,	,	PUNCT
easat-4978	189	5	2007	2007	NUM
easat-4978	189	6	.	.	PUNCT
easat-4978	190	1	https://doi.org/10.14403/jcms.2007.20.4.525	https://doi.org/10.14403/jcms.2007.20.4.525	PROPN
easat-4978	191	1	[	[	X
easat-4978	191	2	22	22	NUM
easat-4978	191	3	]	]	X
easat-4978	191	4	y.	y.	PROPN
easat-4978	191	5	liu	liu	PROPN
easat-4978	191	6	,	,	PUNCT
easat-4978	191	7	c.	c.	PROPN
easat-4978	191	8	m.	m.	PROPN
easat-4978	191	9	eckert	eckert	PROPN
easat-4978	191	10	,	,	PUNCT
easat-4978	191	11	and	and	CCONJ
easat-4978	191	12	c.	c.	PROPN
easat-4978	191	13	earl	earl	PROPN
easat-4978	191	14	,	,	PUNCT
easat-4978	191	15	"	"	PUNCT
easat-4978	191	16	a	a	DET
easat-4978	191	17	review	review	NOUN
easat-4978	191	18	of	of	ADP
easat-4978	191	19	fuzzy	fuzzy	ADJ
easat-4978	191	20	ahp	ahp	NOUN
easat-4978	191	21	methods	method	NOUN
easat-4978	191	22	for	for	ADP
easat-4978	191	23	decision	decision	NOUN
easat-4978	191	24	-	-	PUNCT
easat-4978	191	25	making	making	NOUN
easat-4978	191	26	with	with	ADP
easat-4978	191	27	subjective	subjective	ADJ
easat-4978	191	28	judgements	judgement	NOUN
easat-4978	191	29	,	,	PUNCT
easat-4978	191	30	"	"	PUNCT
easat-4978	191	31	expert	expert	NOUN
easat-4978	191	32	systems	system	NOUN
easat-4978	191	33	with	with	ADP
easat-4978	191	34	applications	application	NOUN
easat-4978	191	35	,	,	PUNCT
easat-4978	191	36	vol	vol	NOUN
easat-4978	191	37	.	.	PROPN
easat-4978	191	38	161	161	NUM
easat-4978	191	39	,	,	PUNCT
easat-4978	191	40	p.	p.	NOUN
easat-4978	191	41	113738	113738	NUM
easat-4978	191	42	,	,	PUNCT
easat-4978	191	43	2020	2020	NUM
easat-4978	191	44	.	.	PUNCT
easat-4978	192	1	https://doi.org/10.1016/j.eswa.2020.113738	https://doi.org/10.1016/j.eswa.2020.113738	NOUN
easat-4978	192	2	https://doi.org/10.55214/25768484.v8i4.1508	https://doi.org/10.55214/25768484.v8i4.1508	NOUN
easat-4978	192	3	https://doi.org/10.1063/5.0215790/3297722	https://doi.org/10.1063/5.0215790/3297722	NUM
easat-4978	192	4	https://doi.org/10.1016/j.sigpro.2015.10.030	https://doi.org/10.1016/j.sigpro.2015.10.030	PROPN
easat-4978	192	5	https://doi.org/10.1007/978-3-030-47024-1_29	https://doi.org/10.1007/978-3-030-47024-1_29	NOUN
easat-4978	192	6	https://doi.org/10.1007/s00500-019-04286-8/metrics	https://doi.org/10.1007/s00500-019-04286-8/metric	NOUN
easat-4978	192	7	https://doi.org/10.1016/0022-247x(78)90045-8	https://doi.org/10.1016/0022-247x(78)90045-8	PROPN
easat-4978	192	8	https://doi.org/10.14403/jcms.2007.20.4.525	https://doi.org/10.14403/jcms.2007.20.4.525	PROPN
easat-4978	192	9	https://doi.org/10.1016/j.eswa.2020.113738	https://doi.org/10.1016/j.eswa.2020.113738	NOUN