id	sid	tid	token	lemma	pos
ejpam-5304	1	1	european	european	PROPN
ejpam-5304	1	2	journal	journal	PROPN
ejpam-5304	1	3	of	of	ADP
ejpam-5304	1	4	pure	pure	ADJ
ejpam-5304	1	5	and	and	CCONJ
ejpam-5304	1	6	applied	apply	VERB
ejpam-5304	1	7	mathematics	mathematic	NOUN
ejpam-5304	1	8	vol	vol	NOUN
ejpam-5304	1	9	.	.	PROPN
ejpam-5304	2	1	17	17	NUM
ejpam-5304	2	2	,	,	PUNCT
ejpam-5304	2	3	no	no	INTJ
ejpam-5304	2	4	.	.	NOUN
ejpam-5304	2	5	3	3	NUM
ejpam-5304	2	6	,	,	PUNCT
ejpam-5304	2	7	2024	2024	NUM
ejpam-5304	2	8	,	,	PUNCT
ejpam-5304	2	9	2349	2349	NUM
ejpam-5304	2	10	-	-	SYM
ejpam-5304	2	11	2360	2360	NUM
ejpam-5304	2	12	issn	issn	PROPN
ejpam-5304	2	13	1307	1307	NUM
ejpam-5304	2	14	-	-	SYM
ejpam-5304	2	15	5543	5543	NUM
ejpam-5304	2	16	–	–	PUNCT
ejpam-5304	2	17	ejpam.com	ejpam.com	X
ejpam-5304	2	18	published	publish	VERB
ejpam-5304	2	19	by	by	ADP
ejpam-5304	2	20	new	new	PROPN
ejpam-5304	2	21	york	york	PROPN
ejpam-5304	2	22	business	business	PROPN
ejpam-5304	2	23	global	global	PROPN
ejpam-5304	2	24	some	some	DET
ejpam-5304	2	25	results	result	NOUN
ejpam-5304	2	26	on	on	ADP
ejpam-5304	2	27	mathai	mathai	PROPN
ejpam-5304	2	28	-	-	PUNCT
ejpam-5304	2	29	haubold	haubold	PROPN
ejpam-5304	2	30	fuzzy	fuzzy	ADJ
ejpam-5304	2	31	entropy	entropy	PROPN
ejpam-5304	2	32	vaishali	vaishali	PROPN
ejpam-5304	2	33	manish	manish	PROPN
ejpam-5304	2	34	joshi1,2	joshi1,2	PROPN
ejpam-5304	2	35	,	,	PUNCT
ejpam-5304	2	36	javid	javid	PROPN
ejpam-5304	2	37	gani	gani	PROPN
ejpam-5304	2	38	dar1,∗	dar1,∗	PROPN
ejpam-5304	2	39	1	1	NUM
ejpam-5304	2	40	department	department	NOUN
ejpam-5304	2	41	of	of	ADP
ejpam-5304	2	42	applied	apply	VERB
ejpam-5304	2	43	sciences	science	NOUN
ejpam-5304	2	44	,	,	PUNCT
ejpam-5304	2	45	symbiosis	symbiosis	NOUN
ejpam-5304	2	46	institute	institute	PROPN
ejpam-5304	2	47	of	of	ADP
ejpam-5304	2	48	technology	technology	NOUN
ejpam-5304	2	49	,	,	PUNCT
ejpam-5304	2	50	symbiosis	symbiosis	NOUN
ejpam-5304	2	51	international(deemed	international(deemed	PROPN
ejpam-5304	2	52	university	university	NOUN
ejpam-5304	2	53	)	)	PUNCT
ejpam-5304	2	54	,	,	PUNCT
ejpam-5304	2	55	pune	pune	NOUN
ejpam-5304	2	56	412115	412115	NUM
ejpam-5304	2	57	,	,	PUNCT
ejpam-5304	2	58	india	india	PROPN
ejpam-5304	2	59	2	2	NUM
ejpam-5304	2	60	dr.vishwanath	dr.vishwanath	NOUN
ejpam-5304	2	61	karad	karad	PROPN
ejpam-5304	2	62	mit	mit	VERB
ejpam-5304	2	63	world	world	PROPN
ejpam-5304	2	64	peace	peace	NOUN
ejpam-5304	2	65	university	university	NOUN
ejpam-5304	2	66	,	,	PUNCT
ejpam-5304	2	67	pune	pune	NOUN
ejpam-5304	2	68	411038	411038	NUM
ejpam-5304	2	69	,	,	PUNCT
ejpam-5304	2	70	india	india	PROPN
ejpam-5304	2	71	abstract	abstract	NOUN
ejpam-5304	2	72	.	.	PUNCT
ejpam-5304	3	1	the	the	DET
ejpam-5304	3	2	concept	concept	NOUN
ejpam-5304	3	3	of	of	ADP
ejpam-5304	3	4	entropy	entropy	PROPN
ejpam-5304	3	5	,	,	PUNCT
ejpam-5304	3	6	emerged	emerge	VERB
ejpam-5304	3	7	from	from	ADP
ejpam-5304	3	8	thermodynamics	thermodynamic	NOUN
ejpam-5304	3	9	and	and	CCONJ
ejpam-5304	3	10	statistical	statistical	ADJ
ejpam-5304	3	11	mechanics	mechanic	NOUN
ejpam-5304	3	12	is	be	AUX
ejpam-5304	3	13	of	of	ADP
ejpam-5304	3	14	fundamental	fundamental	ADJ
ejpam-5304	3	15	importance	importance	NOUN
ejpam-5304	3	16	in	in	ADP
ejpam-5304	3	17	some	some	DET
ejpam-5304	3	18	scientific	scientific	ADJ
ejpam-5304	3	19	and	and	CCONJ
ejpam-5304	3	20	technological	technological	ADJ
ejpam-5304	3	21	areas	area	NOUN
ejpam-5304	3	22	such	such	ADJ
ejpam-5304	3	23	as	as	ADP
ejpam-5304	3	24	communication	communication	NOUN
ejpam-5304	3	25	theory	theory	NOUN
ejpam-5304	3	26	,	,	PUNCT
ejpam-5304	3	27	physics	physics	NOUN
ejpam-5304	3	28	,	,	PUNCT
ejpam-5304	3	29	probability	probability	NOUN
ejpam-5304	3	30	and	and	CCONJ
ejpam-5304	3	31	statistics	statistic	NOUN
ejpam-5304	3	32	.	.	PUNCT
ejpam-5304	4	1	fuzzy	fuzzy	ADJ
ejpam-5304	4	2	entropy	entropy	NOUN
ejpam-5304	4	3	is	be	AUX
ejpam-5304	4	4	much	much	ADV
ejpam-5304	4	5	looked	look	VERB
ejpam-5304	4	6	upon	upon	SCONJ
ejpam-5304	4	7	concept	concept	NOUN
ejpam-5304	4	8	for	for	ADP
ejpam-5304	4	9	measuring	measure	VERB
ejpam-5304	4	10	fuzzy	fuzzy	ADJ
ejpam-5304	4	11	information	information	NOUN
ejpam-5304	4	12	.	.	PUNCT
ejpam-5304	5	1	the	the	DET
ejpam-5304	5	2	concept	concept	NOUN
ejpam-5304	5	3	of	of	ADP
ejpam-5304	5	4	fuzzy	fuzzy	ADJ
ejpam-5304	5	5	entropy	entropy	NOUN
ejpam-5304	5	6	was	be	AUX
ejpam-5304	5	7	firstly	firstly	ADV
ejpam-5304	5	8	mentioned	mention	VERB
ejpam-5304	5	9	by	by	ADP
ejpam-5304	5	10	zadeh	zadeh	PROPN
ejpam-5304	5	11	way	way	NOUN
ejpam-5304	5	12	back	back	ADV
ejpam-5304	5	13	in	in	ADP
ejpam-5304	5	14	1965	1965	NUM
ejpam-5304	5	15	as	as	ADP
ejpam-5304	5	16	a	a	DET
ejpam-5304	5	17	measure	measure	NOUN
ejpam-5304	5	18	of	of	ADP
ejpam-5304	5	19	fuzziness	fuzziness	NOUN
ejpam-5304	5	20	.	.	PUNCT
ejpam-5304	6	1	in	in	ADP
ejpam-5304	6	2	this	this	DET
ejpam-5304	6	3	paper	paper	NOUN
ejpam-5304	6	4	,	,	PUNCT
ejpam-5304	6	5	we	we	PRON
ejpam-5304	6	6	introduce	introduce	VERB
ejpam-5304	6	7	mathai	mathai	PROPN
ejpam-5304	6	8	haubold	haubold	PROPN
ejpam-5304	6	9	fuzzy	fuzzy	ADJ
ejpam-5304	6	10	entropy	entropy	PROPN
ejpam-5304	6	11	with	with	ADP
ejpam-5304	6	12	the	the	DET
ejpam-5304	6	13	proof	proof	NOUN
ejpam-5304	6	14	of	of	ADP
ejpam-5304	6	15	its	its	PRON
ejpam-5304	6	16	validity	validity	NOUN
ejpam-5304	6	17	.	.	PUNCT
ejpam-5304	7	1	in	in	ADP
ejpam-5304	7	2	addition	addition	NOUN
ejpam-5304	7	3	,	,	PUNCT
ejpam-5304	7	4	the	the	DET
ejpam-5304	7	5	elegant	elegant	ADJ
ejpam-5304	7	6	properties	property	NOUN
ejpam-5304	7	7	are	be	AUX
ejpam-5304	7	8	studied	study	VERB
ejpam-5304	7	9	of	of	ADP
ejpam-5304	7	10	the	the	DET
ejpam-5304	7	11	proposed	propose	VERB
ejpam-5304	7	12	fuzzy	fuzzy	ADJ
ejpam-5304	7	13	entropy	entropy	NOUN
ejpam-5304	7	14	measure	measure	NOUN
ejpam-5304	7	15	.	.	PUNCT
ejpam-5304	8	1	2020	2020	NUM
ejpam-5304	8	2	mathematics	mathematic	NOUN
ejpam-5304	8	3	subject	subject	NOUN
ejpam-5304	8	4	classifications	classification	NOUN
ejpam-5304	8	5	:	:	PUNCT
ejpam-5304	8	6	62b10	62b10	NUM
ejpam-5304	8	7	,	,	PUNCT
ejpam-5304	8	8	62r07,60g35	62r07,60g35	NUM
ejpam-5304	8	9	,	,	PUNCT
ejpam-5304	8	10	62n05	62n05	NUM
ejpam-5304	8	11	key	key	ADJ
ejpam-5304	8	12	words	word	NOUN
ejpam-5304	8	13	and	and	CCONJ
ejpam-5304	8	14	phrases	phrase	NOUN
ejpam-5304	8	15	:	:	PUNCT
ejpam-5304	8	16	entropy	entropy	PROPN
ejpam-5304	8	17	,	,	PUNCT
ejpam-5304	8	18	generalized	generalized	ADJ
ejpam-5304	8	19	entropy	entropy	NOUN
ejpam-5304	8	20	,	,	PUNCT
ejpam-5304	8	21	fuzzy	fuzzy	ADJ
ejpam-5304	8	22	sets	set	NOUN
ejpam-5304	8	23	,	,	PUNCT
ejpam-5304	8	24	fuzzy	fuzzy	ADJ
ejpam-5304	8	25	entropy	entropy	PROPN
ejpam-5304	8	26	,	,	PUNCT
ejpam-5304	8	27	shannon	shannon	PROPN
ejpam-5304	8	28	entropy	entropy	PROPN
ejpam-5304	8	29	,	,	PUNCT
ejpam-5304	8	30	renyi	renyi	PROPN
ejpam-5304	8	31	entropy	entropy	PROPN
ejpam-5304	8	32	,	,	PUNCT
ejpam-5304	8	33	generalized	generalize	VERB
ejpam-5304	8	34	fuzzy	fuzzy	ADJ
ejpam-5304	8	35	entropy	entropy	NOUN
ejpam-5304	8	36	,	,	PUNCT
ejpam-5304	8	37	mathai	mathai	PROPN
ejpam-5304	8	38	-	-	PUNCT
ejpam-5304	8	39	haubold	haubold	PROPN
ejpam-5304	8	40	entropy	entropy	PROPN
ejpam-5304	8	41	1	1	NUM
ejpam-5304	8	42	.	.	PUNCT
ejpam-5304	9	1	introduction	introduction	NOUN
ejpam-5304	9	2	theory	theory	NOUN
ejpam-5304	9	3	of	of	ADP
ejpam-5304	9	4	information	information	NOUN
ejpam-5304	9	5	grew	grow	VERB
ejpam-5304	9	6	from	from	ADP
ejpam-5304	9	7	the	the	DET
ejpam-5304	9	8	invention	invention	NOUN
ejpam-5304	9	9	of	of	ADP
ejpam-5304	9	10	telegraphs	telegraphs	NOUN
ejpam-5304	9	11	and	and	CCONJ
ejpam-5304	9	12	telephones	telephone	NOUN
ejpam-5304	9	13	.	.	PUNCT
ejpam-5304	10	1	to	to	PART
ejpam-5304	10	2	dealt	dealt	VERB
ejpam-5304	10	3	with	with	ADP
ejpam-5304	10	4	the	the	DET
ejpam-5304	10	5	problems	problem	NOUN
ejpam-5304	10	6	related	relate	VERB
ejpam-5304	10	7	to	to	ADP
ejpam-5304	10	8	transmission	transmission	NOUN
ejpam-5304	10	9	of	of	ADP
ejpam-5304	10	10	signal	signal	NOUN
ejpam-5304	10	11	,	,	PUNCT
ejpam-5304	10	12	many	many	ADJ
ejpam-5304	10	13	researchers	researcher	NOUN
ejpam-5304	10	14	contributed	contribute	VERB
ejpam-5304	10	15	in	in	ADP
ejpam-5304	10	16	this	this	DET
ejpam-5304	10	17	field	field	NOUN
ejpam-5304	10	18	.	.	PUNCT
ejpam-5304	11	1	initially	initially	ADV
ejpam-5304	11	2	,	,	PUNCT
ejpam-5304	11	3	harry	harry	PROPN
ejpam-5304	11	4	nyquist	nyquist	PROPN
ejpam-5304	11	5	[	[	X
ejpam-5304	11	6	12],[13	12],[13	NOUN
ejpam-5304	11	7	]	]	PUNCT
ejpam-5304	11	8	given	give	VERB
ejpam-5304	11	9	a	a	DET
ejpam-5304	11	10	formula	formula	NOUN
ejpam-5304	11	11	to	to	PART
ejpam-5304	11	12	calculate	calculate	VERB
ejpam-5304	11	13	the	the	DET
ejpam-5304	11	14	rate	rate	NOUN
ejpam-5304	11	15	of	of	ADP
ejpam-5304	11	16	finite	finite	ADJ
ejpam-5304	11	17	bandwidth	bandwidth	NOUN
ejpam-5304	11	18	in	in	ADP
ejpam-5304	11	19	noiseless	noiseless	ADJ
ejpam-5304	11	20	channel	channel	NOUN
ejpam-5304	11	21	.	.	PUNCT
ejpam-5304	12	1	later	later	ADV
ejpam-5304	12	2	on	on	ADV
ejpam-5304	12	3	,	,	PUNCT
ejpam-5304	12	4	hartley	hartley	PROPN
ejpam-5304	12	5	[	[	X
ejpam-5304	12	6	5	5	NUM
ejpam-5304	12	7	]	]	PUNCT
ejpam-5304	12	8	established	establish	VERB
ejpam-5304	12	9	the	the	DET
ejpam-5304	12	10	measure	measure	NOUN
ejpam-5304	12	11	of	of	ADP
ejpam-5304	12	12	information	information	NOUN
ejpam-5304	12	13	.	.	PUNCT
ejpam-5304	13	1	this	this	DET
ejpam-5304	13	2	measure	measure	NOUN
ejpam-5304	13	3	is	be	AUX
ejpam-5304	13	4	then	then	ADV
ejpam-5304	13	5	modified	modify	VERB
ejpam-5304	13	6	by	by	ADP
ejpam-5304	13	7	claude	claude	PROPN
ejpam-5304	13	8	shannon	shannon	PROPN
ejpam-5304	14	1	[	[	X
ejpam-5304	14	2	15	15	NUM
ejpam-5304	14	3	]	]	X
ejpam-5304	14	4	,	,	PUNCT
ejpam-5304	14	5	which	which	PRON
ejpam-5304	14	6	is	be	AUX
ejpam-5304	14	7	known	know	VERB
ejpam-5304	14	8	as	as	ADP
ejpam-5304	14	9	shannon	shannon	PROPN
ejpam-5304	14	10	’s	’s	PART
ejpam-5304	14	11	entropy	entropy	PROPN
ejpam-5304	14	12	.	.	PUNCT
ejpam-5304	15	1	shannon	shannon	PROPN
ejpam-5304	15	2	observed	observe	VERB
ejpam-5304	15	3	that	that	SCONJ
ejpam-5304	15	4	the	the	DET
ejpam-5304	15	5	amount	amount	NOUN
ejpam-5304	15	6	of	of	ADP
ejpam-5304	15	7	information	information	NOUN
ejpam-5304	15	8	sent	send	VERB
ejpam-5304	15	9	by	by	ADP
ejpam-5304	15	10	a	a	DET
ejpam-5304	15	11	signal	signal	NOUN
ejpam-5304	15	12	is	be	AUX
ejpam-5304	15	13	inversely	inversely	ADV
ejpam-5304	15	14	proportional	proportional	ADJ
ejpam-5304	15	15	to	to	ADP
ejpam-5304	15	16	the	the	DET
ejpam-5304	15	17	size	size	NOUN
ejpam-5304	15	18	of	of	ADP
ejpam-5304	15	19	the	the	DET
ejpam-5304	15	20	message	message	NOUN
ejpam-5304	15	21	.	.	PUNCT
ejpam-5304	16	1	in	in	ADP
ejpam-5304	16	2	probability	probability	NOUN
ejpam-5304	16	3	distribution	distribution	NOUN
ejpam-5304	16	4	,	,	PUNCT
ejpam-5304	16	5	entropy	entropy	PROPN
ejpam-5304	16	6	takes	take	VERB
ejpam-5304	16	7	maximum	maximum	ADJ
ejpam-5304	16	8	value	value	NOUN
ejpam-5304	16	9	when	when	SCONJ
ejpam-5304	16	10	all	all	DET
ejpam-5304	16	11	probabilities	probability	NOUN
ejpam-5304	16	12	are	be	AUX
ejpam-5304	16	13	equal	equal	ADJ
ejpam-5304	16	14	.	.	PUNCT
ejpam-5304	17	1	the	the	DET
ejpam-5304	17	2	word	word	NOUN
ejpam-5304	17	3	entropy	entropy	NOUN
ejpam-5304	17	4	is	be	AUX
ejpam-5304	17	5	defined	define	VERB
ejpam-5304	17	6	as	as	ADP
ejpam-5304	17	7	a	a	DET
ejpam-5304	17	8	measure	measure	NOUN
ejpam-5304	17	9	of	of	ADP
ejpam-5304	17	10	uncertainty	uncertainty	NOUN
ejpam-5304	17	11	in	in	ADP
ejpam-5304	17	12	a	a	DET
ejpam-5304	17	13	probability	probability	NOUN
ejpam-5304	17	14	distribution	distribution	NOUN
ejpam-5304	17	15	.	.	PUNCT
ejpam-5304	18	1	the	the	DET
ejpam-5304	18	2	concept	concept	NOUN
ejpam-5304	18	3	of	of	ADP
ejpam-5304	18	4	entropy	entropy	NOUN
ejpam-5304	18	5	is	be	AUX
ejpam-5304	18	6	widely	widely	ADV
ejpam-5304	18	7	used	use	VERB
ejpam-5304	18	8	in	in	ADP
ejpam-5304	18	9	many	many	ADJ
ejpam-5304	18	10	engineering	engineering	NOUN
ejpam-5304	18	11	applications	application	NOUN
ejpam-5304	18	12	such	such	ADJ
ejpam-5304	18	13	as	as	ADP
ejpam-5304	18	14	clustering	clustering	NOUN
ejpam-5304	18	15	,	,	PUNCT
ejpam-5304	18	16	image	image	NOUN
ejpam-5304	18	17	processing	processing	NOUN
ejpam-5304	18	18	,	,	PUNCT
ejpam-5304	18	19	statistical	statistical	ADJ
ejpam-5304	18	20	mechanics	mechanic	NOUN
ejpam-5304	18	21	,	,	PUNCT
ejpam-5304	18	22	finance	finance	NOUN
ejpam-5304	18	23	,	,	PUNCT
ejpam-5304	18	24	neural	neural	ADJ
ejpam-5304	18	25	networks	network	NOUN
ejpam-5304	18	26	,	,	PUNCT
ejpam-5304	18	27	pattern	pattern	NOUN
ejpam-5304	18	28	recognition	recognition	NOUN
ejpam-5304	18	29	,	,	PUNCT
ejpam-5304	18	30	in	in	ADP
ejpam-5304	18	31	medical	medical	ADJ
ejpam-5304	18	32	images	image	NOUN
ejpam-5304	18	33	for	for	ADP
ejpam-5304	18	34	cells	cell	NOUN
ejpam-5304	18	35	counting	counting	NOUN
ejpam-5304	18	36	,	,	PUNCT
ejpam-5304	18	37	fuzzy	fuzzy	ADJ
ejpam-5304	18	38	clustering	clustering	NOUN
ejpam-5304	18	39	,	,	PUNCT
ejpam-5304	18	40	speech	speech	NOUN
ejpam-5304	18	41	recognition	recognition	NOUN
ejpam-5304	18	42	etc	etc	X
ejpam-5304	18	43	.	.	X
ejpam-5304	18	44	∗corresponding	∗corresponde	VERB
ejpam-5304	18	45	author	author	NOUN
ejpam-5304	18	46	.	.	PUNCT
ejpam-5304	19	1	doi	doi	NOUN
ejpam-5304	19	2	:	:	PUNCT
ejpam-5304	19	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5304	https://doi.org/10.29020/nybg.ejpam.v17i3.5304	PROPN
ejpam-5304	19	4	email	email	NOUN
ejpam-5304	19	5	addresses	address	NOUN
ejpam-5304	19	6	:	:	PUNCT
ejpam-5304	19	7	vaishali.joshi.phd2023@sitpune.edu.in	vaishali.joshi.phd2023@sitpune.edu.in	X
ejpam-5304	19	8	(	(	PUNCT
ejpam-5304	19	9	vaishali	vaishali	PROPN
ejpam-5304	19	10	manish	manish	PROPN
ejpam-5304	19	11	joshi	joshi	PROPN
ejpam-5304	19	12	)	)	PUNCT
ejpam-5304	19	13	,	,	PUNCT
ejpam-5304	19	14	javid.dar@sitpune.edu.in	javid.dar@sitpune.edu.in	NOUN
ejpam-5304	19	15	(	(	PUNCT
ejpam-5304	19	16	j.	j.	PROPN
ejpam-5304	19	17	g.	g.	PROPN
ejpam-5304	19	18	dar	dar	PROPN
ejpam-5304	19	19	)	)	PUNCT
ejpam-5304	19	20	,	,	PUNCT
ejpam-5304	19	21	vaishali.joshi@mitwpu.edu.in	vaishali.joshi@mitwpu.edu.in	INTJ
ejpam-5304	19	22	(	(	PUNCT
ejpam-5304	19	23	v.	v.	ADP
ejpam-5304	19	24	m.	m.	PROPN
ejpam-5304	19	25	joshi	joshi	PROPN
ejpam-5304	19	26	)	)	PUNCT
ejpam-5304	19	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5304	19	28	2349	2349	NUM
ejpam-5304	20	1	©	©	ADP
ejpam-5304	20	2	2024	2024	NUM
ejpam-5304	20	3	ejpam	ejpam	NOUN
ejpam-5304	20	4	all	all	DET
ejpam-5304	20	5	rights	right	NOUN
ejpam-5304	20	6	reserved	reserve	VERB
ejpam-5304	20	7	.	.	PUNCT
ejpam-5304	21	1	v.	v.	ADP
ejpam-5304	21	2	m.	m.	PROPN
ejpam-5304	21	3	joshi	joshi	PROPN
ejpam-5304	21	4	,	,	PUNCT
ejpam-5304	21	5	j.	j.	PROPN
ejpam-5304	21	6	g.	g.	PROPN
ejpam-5304	21	7	dar	dar	PROPN
ejpam-5304	21	8	/	/	SYM
ejpam-5304	21	9	eur	eur	PROPN
ejpam-5304	21	10	.	.	PUNCT
ejpam-5304	22	1	j.	j.	PROPN
ejpam-5304	22	2	pure	pure	PROPN
ejpam-5304	22	3	appl	appl	PROPN
ejpam-5304	22	4	.	.	PROPN
ejpam-5304	22	5	math	math	PROPN
ejpam-5304	22	6	,	,	PUNCT
ejpam-5304	22	7	17	17	NUM
ejpam-5304	22	8	(	(	PUNCT
ejpam-5304	22	9	3	3	NUM
ejpam-5304	22	10	)	)	PUNCT
ejpam-5304	22	11	(	(	PUNCT
ejpam-5304	22	12	2024	2024	NUM
ejpam-5304	22	13	)	)	PUNCT
ejpam-5304	22	14	,	,	PUNCT
ejpam-5304	22	15	2349	2349	NUM
ejpam-5304	22	16	-	-	SYM
ejpam-5304	22	17	2360	2360	NUM
ejpam-5304	22	18	2350	2350	NUM
ejpam-5304	22	19	2	2	NUM
ejpam-5304	22	20	.	.	PUNCT
ejpam-5304	23	1	properties	property	NOUN
ejpam-5304	23	2	of	of	ADP
ejpam-5304	23	3	entropy	entropy	NOUN
ejpam-5304	23	4	function	function	NOUN
ejpam-5304	23	5	in	in	ADP
ejpam-5304	23	6	this	this	DET
ejpam-5304	23	7	section	section	NOUN
ejpam-5304	23	8	,	,	PUNCT
ejpam-5304	23	9	we	we	PRON
ejpam-5304	23	10	have	have	AUX
ejpam-5304	23	11	covered	cover	VERB
ejpam-5304	23	12	some	some	DET
ejpam-5304	23	13	basic	basic	ADJ
ejpam-5304	23	14	concepts	concept	NOUN
ejpam-5304	23	15	like	like	ADP
ejpam-5304	23	16	entropy	entropy	NOUN
ejpam-5304	23	17	,	,	PUNCT
ejpam-5304	23	18	fuzzy	fuzzy	ADJ
ejpam-5304	23	19	sets	set	NOUN
ejpam-5304	23	20	and	and	CCONJ
ejpam-5304	23	21	fuzzy	fuzzy	ADJ
ejpam-5304	23	22	entropy	entropy	NOUN
ejpam-5304	23	23	which	which	PRON
ejpam-5304	23	24	are	be	AUX
ejpam-5304	23	25	required	require	VERB
ejpam-5304	23	26	for	for	ADP
ejpam-5304	23	27	the	the	DET
ejpam-5304	23	28	proposed	propose	VERB
ejpam-5304	23	29	work	work	NOUN
ejpam-5304	23	30	.	.	PUNCT
ejpam-5304	24	1	2.1	2.1	NUM
ejpam-5304	24	2	.	.	PUNCT
ejpam-5304	24	3	basic	basic	ADJ
ejpam-5304	24	4	concepts	concept	NOUN
ejpam-5304	24	5	of	of	ADP
ejpam-5304	24	6	entropy	entropy	PROPN
ejpam-5304	24	7	shannon	shannon	PROPN
ejpam-5304	24	8	’s	’s	PART
ejpam-5304	24	9	entropy	entropy	PROPN
ejpam-5304	24	10	for	for	ADP
ejpam-5304	24	11	a	a	DET
ejpam-5304	24	12	discrete	discrete	ADJ
ejpam-5304	24	13	random	random	ADJ
ejpam-5304	24	14	variable	variable	NOUN
ejpam-5304	24	15	q	q	NOUN
ejpam-5304	24	16	=	=	SYM
ejpam-5304	24	17	{	{	PUNCT
ejpam-5304	24	18	q1	q1	PROPN
ejpam-5304	24	19	,	,	PUNCT
ejpam-5304	24	20	q2	q2	NOUN
ejpam-5304	24	21	,	,	PUNCT
ejpam-5304	24	22	...	...	PUNCT
ejpam-5304	24	23	,	,	PUNCT
ejpam-5304	24	24	qn	qn	AUX
ejpam-5304	24	25	}	}	PUNCT
ejpam-5304	24	26	is	be	AUX
ejpam-5304	24	27	defined	define	VERB
ejpam-5304	24	28	as	as	ADP
ejpam-5304	24	29	d(q	d(q	NOUN
ejpam-5304	24	30	)	)	PUNCT
ejpam-5304	24	31	=	=	PUNCT
ejpam-5304	25	1	−	−	PROPN
ejpam-5304	25	2	n∑	n∑	INTJ
ejpam-5304	25	3	k=1	k=1	PROPN
ejpam-5304	26	1	qklogqk	qklogqk	NOUN
ejpam-5304	26	2	(	(	PUNCT
ejpam-5304	26	3	1	1	NUM
ejpam-5304	26	4	)	)	PUNCT
ejpam-5304	26	5	where	where	SCONJ
ejpam-5304	26	6	qk	qk	NOUN
ejpam-5304	26	7	is	be	AUX
ejpam-5304	26	8	the	the	DET
ejpam-5304	26	9	probability	probability	NOUN
ejpam-5304	26	10	associated	associate	VERB
ejpam-5304	26	11	with	with	ADP
ejpam-5304	26	12	the	the	DET
ejpam-5304	26	13	event	event	NOUN
ejpam-5304	26	14	ek	ek	NOUN
ejpam-5304	26	15	,	,	PUNCT
ejpam-5304	26	16	for	for	ADP
ejpam-5304	26	17	k	k	PROPN
ejpam-5304	26	18	=	=	SYM
ejpam-5304	26	19	1	1	NUM
ejpam-5304	26	20	,	,	PUNCT
ejpam-5304	26	21	2	2	NUM
ejpam-5304	26	22	,	,	PUNCT
ejpam-5304	26	23	...	...	PUNCT
ejpam-5304	26	24	,	,	PUNCT
ejpam-5304	26	25	n	n	CCONJ
ejpam-5304	26	26	properties	property	NOUN
ejpam-5304	26	27	of	of	ADP
ejpam-5304	26	28	entropy	entropy	PROPN
ejpam-5304	26	29	function	function	NOUN
ejpam-5304	26	30	:	:	PUNCT
ejpam-5304	26	31	a	a	X
ejpam-5304	26	32	)	)	PUNCT
ejpam-5304	26	33	continuity	continuity	NOUN
ejpam-5304	26	34	:	:	PUNCT
ejpam-5304	26	35	entropy	entropy	PROPN
ejpam-5304	26	36	function	function	PROPN
ejpam-5304	26	37	d(q	d(q	PROPN
ejpam-5304	26	38	)	)	PUNCT
ejpam-5304	26	39	should	should	AUX
ejpam-5304	26	40	be	be	AUX
ejpam-5304	26	41	continuous.that	continuous.that	PRON
ejpam-5304	26	42	means	mean	NOUN
ejpam-5304	26	43	for	for	ADP
ejpam-5304	26	44	every	every	DET
ejpam-5304	26	45	independent	independent	ADJ
ejpam-5304	26	46	variable	variable	NOUN
ejpam-5304	26	47	0	0	NUM
ejpam-5304	26	48	≤	≤	NUM
ejpam-5304	26	49	qk	qk	ADP
ejpam-5304	26	50	≤	≤	NOUN
ejpam-5304	26	51	1	1	NUM
ejpam-5304	26	52	,	,	PUNCT
ejpam-5304	26	53	entropy	entropy	NOUN
ejpam-5304	26	54	function	function	NOUN
ejpam-5304	26	55	must	must	AUX
ejpam-5304	26	56	be	be	AUX
ejpam-5304	26	57	continuous	continuous	ADJ
ejpam-5304	26	58	.	.	PUNCT
ejpam-5304	27	1	b	b	X
ejpam-5304	27	2	)	)	PUNCT
ejpam-5304	27	3	symmetry	symmetry	NOUN
ejpam-5304	27	4	:	:	PUNCT
ejpam-5304	27	5	entropy	entropy	PROPN
ejpam-5304	27	6	function	function	PROPN
ejpam-5304	27	7	d(q	d(q	PROPN
ejpam-5304	27	8	)	)	PUNCT
ejpam-5304	27	9	remains	remain	VERB
ejpam-5304	27	10	unchanged	unchanged	ADJ
ejpam-5304	27	11	when	when	SCONJ
ejpam-5304	27	12	q1	q1	PROPN
ejpam-5304	27	13	,	,	PUNCT
ejpam-5304	27	14	q2	q2	NOUN
ejpam-5304	27	15	,	,	PUNCT
ejpam-5304	27	16	...	...	PUNCT
ejpam-5304	27	17	,	,	PUNCT
ejpam-5304	27	18	qn	qn	PROPN
ejpam-5304	27	19	are	be	AUX
ejpam-5304	27	20	interchanged	interchange	VERB
ejpam-5304	27	21	with	with	ADP
ejpam-5304	27	22	each	each	DET
ejpam-5304	27	23	other	other	ADJ
ejpam-5304	27	24	.	.	PUNCT
ejpam-5304	28	1	c	c	X
ejpam-5304	28	2	)	)	PUNCT
ejpam-5304	28	3	maximality	maximality	NOUN
ejpam-5304	28	4	:	:	PUNCT
ejpam-5304	28	5	entropy	entropy	PROPN
ejpam-5304	28	6	function	function	PROPN
ejpam-5304	28	7	d(q	d(q	PROPN
ejpam-5304	28	8	)	)	PUNCT
ejpam-5304	28	9	is	be	AUX
ejpam-5304	28	10	maximum	maximum	ADJ
ejpam-5304	28	11	when	when	SCONJ
ejpam-5304	28	12	all	all	DET
ejpam-5304	28	13	probabilities	probability	NOUN
ejpam-5304	28	14	are	be	AUX
ejpam-5304	28	15	equal	equal	ADJ
ejpam-5304	28	16	.	.	PUNCT
ejpam-5304	29	1	d	d	X
ejpam-5304	29	2	)	)	PUNCT
ejpam-5304	29	3	additivity	additivity	NOUN
ejpam-5304	29	4	property	property	NOUN
ejpam-5304	29	5	:	:	PUNCT
ejpam-5304	29	6	this	this	DET
ejpam-5304	29	7	property	property	NOUN
ejpam-5304	29	8	of	of	ADP
ejpam-5304	29	9	d(q	d(q	PROPN
ejpam-5304	29	10	)	)	PUNCT
ejpam-5304	29	11	states	state	VERB
ejpam-5304	29	12	that	that	SCONJ
ejpam-5304	29	13	if	if	SCONJ
ejpam-5304	29	14	a	a	DET
ejpam-5304	29	15	particular	particular	ADJ
ejpam-5304	29	16	event	event	NOUN
ejpam-5304	29	17	xn	xn	PROPN
ejpam-5304	29	18	with	with	ADP
ejpam-5304	29	19	probability	probability	NOUN
ejpam-5304	29	20	qn	qn	NOUN
ejpam-5304	29	21	is	be	AUX
ejpam-5304	29	22	divided	divide	VERB
ejpam-5304	29	23	into	into	ADP
ejpam-5304	29	24	m	m	PRON
ejpam-5304	29	25	mutually	mutually	ADV
ejpam-5304	29	26	exclusive	exclusive	ADJ
ejpam-5304	29	27	subsets	subset	NOUN
ejpam-5304	29	28	say	say	VERB
ejpam-5304	29	29	e1	e1	PROPN
ejpam-5304	29	30	,	,	PUNCT
ejpam-5304	29	31	e2	e2	PROPN
ejpam-5304	29	32	,	,	PUNCT
ejpam-5304	29	33	...	...	PUNCT
ejpam-5304	29	34	,	,	PUNCT
ejpam-5304	29	35	em	em	PRON
ejpam-5304	29	36	with	with	ADP
ejpam-5304	29	37	probabilities	probability	NOUN
ejpam-5304	29	38	r1	r1	NOUN
ejpam-5304	29	39	,	,	PUNCT
ejpam-5304	29	40	r2	r2	PROPN
ejpam-5304	29	41	,	,	PUNCT
ejpam-5304	29	42	...	...	PUNCT
ejpam-5304	29	43	,	,	PUNCT
ejpam-5304	29	44	rm	rm	PROPN
ejpam-5304	29	45	such	such	ADJ
ejpam-5304	29	46	that	that	SCONJ
ejpam-5304	29	47	qn	qn	PROPN
ejpam-5304	29	48	=	=	PROPN
ejpam-5304	29	49	r1	r1	PROPN
ejpam-5304	29	50	+	+	CCONJ
ejpam-5304	29	51	r2	r2	PROPN
ejpam-5304	29	52	+	+	CCONJ
ejpam-5304	29	53	...	...	PUNCT
ejpam-5304	30	1	+	+	CCONJ
ejpam-5304	30	2	rm	rm	NOUN
ejpam-5304	30	3	then	then	ADV
ejpam-5304	30	4	d(q1	d(q1	PROPN
ejpam-5304	30	5	,	,	PUNCT
ejpam-5304	30	6	q2	q2	PROPN
ejpam-5304	30	7	,	,	PUNCT
ejpam-5304	30	8	...	...	PUNCT
ejpam-5304	30	9	qn	qn	PROPN
ejpam-5304	30	10	,	,	PUNCT
ejpam-5304	30	11	r1	r1	NOUN
ejpam-5304	30	12	,	,	PUNCT
ejpam-5304	30	13	r2	r2	PROPN
ejpam-5304	30	14	,	,	PUNCT
ejpam-5304	30	15	...	...	PUNCT
ejpam-5304	30	16	,	,	PUNCT
ejpam-5304	30	17	rn	rn	PROPN
ejpam-5304	30	18	)	)	PUNCT
ejpam-5304	30	19	=	=	SYM
ejpam-5304	30	20	d(q1	d(q1	NOUN
ejpam-5304	30	21	,	,	PUNCT
ejpam-5304	30	22	q2	q2	NOUN
ejpam-5304	30	23	,	,	PUNCT
ejpam-5304	30	24	...	...	PUNCT
ejpam-5304	30	25	,	,	PUNCT
ejpam-5304	30	26	qn−1	qn−1	PROPN
ejpam-5304	30	27	)	)	PUNCT
ejpam-5304	30	28	+	+	CCONJ
ejpam-5304	30	29	qnd	qnd	PROPN
ejpam-5304	30	30	(	(	PUNCT
ejpam-5304	30	31	r1q1	r1q1	PROPN
ejpam-5304	30	32	,	,	PUNCT
ejpam-5304	30	33	r2	r2	PROPN
ejpam-5304	30	34	q2	q2	NOUN
ejpam-5304	30	35	,	,	PUNCT
ejpam-5304	30	36	...	...	PUNCT
ejpam-5304	30	37	,	,	PUNCT
ejpam-5304	30	38	rnqn	rnqn	PROPN
ejpam-5304	30	39	)	)	PUNCT
ejpam-5304	30	40	after	after	ADP
ejpam-5304	30	41	the	the	DET
ejpam-5304	30	42	shannon	shannon	PROPN
ejpam-5304	30	43	’s	’s	PART
ejpam-5304	30	44	entropy	entropy	PROPN
ejpam-5304	30	45	measure	measure	NOUN
ejpam-5304	30	46	,	,	PUNCT
ejpam-5304	30	47	some	some	PRON
ejpam-5304	30	48	of	of	ADP
ejpam-5304	30	49	the	the	DET
ejpam-5304	30	50	listed	list	VERB
ejpam-5304	30	51	generalizations	generalization	NOUN
ejpam-5304	30	52	were	be	AUX
ejpam-5304	30	53	seen	see	VERB
ejpam-5304	30	54	.	.	PUNCT
ejpam-5304	31	1	a	a	DET
ejpam-5304	31	2	)	)	PUNCT
ejpam-5304	31	3	renyi	renyi	PROPN
ejpam-5304	31	4	entropy	entropy	PROPN
ejpam-5304	32	1	[	[	X
ejpam-5304	32	2	14	14	NUM
ejpam-5304	32	3	]	]	PUNCT
ejpam-5304	32	4	of	of	ADP
ejpam-5304	32	5	order	order	NOUN
ejpam-5304	32	6	α	α	PRON
ejpam-5304	32	7	dα(q	dα(q	NUM
ejpam-5304	32	8	)	)	PUNCT
ejpam-5304	32	9	=	=	SYM
ejpam-5304	32	10	1	1	NUM
ejpam-5304	32	11	1−	1−	NUM
ejpam-5304	32	12	α	α	NOUN
ejpam-5304	32	13	log	log	NOUN
ejpam-5304	33	1	n∑	n∑	INTJ
ejpam-5304	33	2	k=1	k=1	PROPN
ejpam-5304	34	1	qαk	qαk	PROPN
ejpam-5304	34	2	,	,	PUNCT
ejpam-5304	34	3	α	α	PROPN
ejpam-5304	34	4	̸=	̸=	PROPN
ejpam-5304	34	5	1	1	NUM
ejpam-5304	34	6	,	,	PUNCT
ejpam-5304	34	7	α	α	NOUN
ejpam-5304	34	8	>	>	X
ejpam-5304	34	9	0	0	PUNCT
ejpam-5304	34	10	(	(	PUNCT
ejpam-5304	34	11	2	2	NUM
ejpam-5304	34	12	)	)	PUNCT
ejpam-5304	34	13	b	b	NOUN
ejpam-5304	34	14	)	)	PUNCT
ejpam-5304	34	15	havrda	havrda	NOUN
ejpam-5304	34	16	-	-	PUNCT
ejpam-5304	34	17	charvat	charvat	NOUN
ejpam-5304	34	18	[	[	X
ejpam-5304	34	19	6	6	NUM
ejpam-5304	34	20	]	]	PUNCT
ejpam-5304	34	21	entropy	entropy	NOUN
ejpam-5304	34	22	of	of	ADP
ejpam-5304	34	23	order	order	NOUN
ejpam-5304	34	24	α	α	PRON
ejpam-5304	34	25	dα(q	dα(q	NUM
ejpam-5304	34	26	)	)	PUNCT
ejpam-5304	34	27	=	=	SYM
ejpam-5304	35	1	1	1	NUM
ejpam-5304	35	2	21−α	21−α	NUM
ejpam-5304	35	3	−	−	NOUN
ejpam-5304	35	4	1	1	NUM
ejpam-5304	35	5	n∑	n∑	NOUN
ejpam-5304	35	6	k=1	k=1	PROPN
ejpam-5304	35	7	qαk	qαk	INTJ
ejpam-5304	35	8	−	−	PROPN
ejpam-5304	35	9	1	1	NUM
ejpam-5304	35	10	,	,	PUNCT
ejpam-5304	35	11	α	α	PRON
ejpam-5304	35	12	̸=	̸=	PROPN
ejpam-5304	35	13	1	1	NUM
ejpam-5304	35	14	,	,	PUNCT
ejpam-5304	35	15	α	α	NOUN
ejpam-5304	35	16	>	>	X
ejpam-5304	35	17	0	0	PUNCT
ejpam-5304	36	1	(	(	PUNCT
ejpam-5304	36	2	3	3	NUM
ejpam-5304	36	3	)	)	PUNCT
ejpam-5304	36	4	c	c	NOUN
ejpam-5304	36	5	)	)	PUNCT
ejpam-5304	36	6	tsallis	tsalli	NOUN
ejpam-5304	36	7	entropy	entropy	VERB
ejpam-5304	37	1	[	[	X
ejpam-5304	37	2	16	16	NUM
ejpam-5304	37	3	]	]	PUNCT
ejpam-5304	37	4	of	of	ADP
ejpam-5304	37	5	order	order	NOUN
ejpam-5304	37	6	α	α	PRON
ejpam-5304	37	7	dα(q	dα(q	NUM
ejpam-5304	37	8	)	)	PUNCT
ejpam-5304	37	9	=	=	SYM
ejpam-5304	38	1	1	1	NUM
ejpam-5304	38	2	1−	1−	NUM
ejpam-5304	38	3	α	α	NUM
ejpam-5304	38	4	n∑	n∑	INTJ
ejpam-5304	39	1	k=1	k=1	PROPN
ejpam-5304	39	2	qαk	qαk	INTJ
ejpam-5304	39	3	−	−	PROPN
ejpam-5304	39	4	1	1	NUM
ejpam-5304	39	5	,	,	PUNCT
ejpam-5304	39	6	α	α	PRON
ejpam-5304	39	7	̸=	̸=	PROPN
ejpam-5304	39	8	1	1	NUM
ejpam-5304	39	9	,	,	PUNCT
ejpam-5304	39	10	α	α	NOUN
ejpam-5304	39	11	>	>	X
ejpam-5304	39	12	0	0	PUNCT
ejpam-5304	40	1	(	(	PUNCT
ejpam-5304	40	2	4	4	NUM
ejpam-5304	40	3	)	)	PUNCT
ejpam-5304	40	4	d	d	NOUN
ejpam-5304	40	5	)	)	PUNCT
ejpam-5304	40	6	mathai	mathai	PROPN
ejpam-5304	40	7	-	-	PUNCT
ejpam-5304	40	8	haubold	haubold	PROPN
ejpam-5304	40	9	entropy	entropy	NOUN
ejpam-5304	41	1	[	[	X
ejpam-5304	41	2	11	11	NUM
ejpam-5304	41	3	]	]	PUNCT
ejpam-5304	41	4	of	of	ADP
ejpam-5304	41	5	order	order	NOUN
ejpam-5304	41	6	α	α	PRON
ejpam-5304	41	7	dα(q	dα(q	NUM
ejpam-5304	41	8	)	)	PUNCT
ejpam-5304	41	9	=	=	SYM
ejpam-5304	41	10	1	1	NUM
ejpam-5304	41	11	α−	α−	ADP
ejpam-5304	41	12	1	1	NUM
ejpam-5304	41	13	n∑	n∑	NOUN
ejpam-5304	41	14	k=1	k=1	PROPN
ejpam-5304	42	1	q2−α	q2−α	PROPN
ejpam-5304	42	2	k	k	PROPN
ejpam-5304	43	1	−	−	PROPN
ejpam-5304	43	2	1	1	NUM
ejpam-5304	43	3	,	,	PUNCT
ejpam-5304	43	4	α	α	PROPN
ejpam-5304	43	5	̸=	̸=	PROPN
ejpam-5304	43	6	1,−∞	1,−∞	NUM
ejpam-5304	43	7	<	<	X
ejpam-5304	43	8	α	α	X
ejpam-5304	43	9	<	<	X
ejpam-5304	43	10	2	2	NUM
ejpam-5304	43	11	(	(	PUNCT
ejpam-5304	43	12	5	5	NUM
ejpam-5304	43	13	)	)	PUNCT
ejpam-5304	43	14	v.	v.	ADP
ejpam-5304	43	15	m.	m.	PROPN
ejpam-5304	43	16	joshi	joshi	PROPN
ejpam-5304	43	17	,	,	PUNCT
ejpam-5304	43	18	j.	j.	PROPN
ejpam-5304	43	19	g.	g.	PROPN
ejpam-5304	43	20	dar	dar	PROPN
ejpam-5304	43	21	/	/	SYM
ejpam-5304	43	22	eur	eur	PROPN
ejpam-5304	43	23	.	.	PUNCT
ejpam-5304	44	1	j.	j.	PROPN
ejpam-5304	44	2	pure	pure	PROPN
ejpam-5304	44	3	appl	appl	PROPN
ejpam-5304	44	4	.	.	PROPN
ejpam-5304	44	5	math	math	PROPN
ejpam-5304	44	6	,	,	PUNCT
ejpam-5304	44	7	17	17	NUM
ejpam-5304	44	8	(	(	PUNCT
ejpam-5304	44	9	3	3	NUM
ejpam-5304	44	10	)	)	PUNCT
ejpam-5304	44	11	(	(	PUNCT
ejpam-5304	44	12	2024	2024	NUM
ejpam-5304	44	13	)	)	PUNCT
ejpam-5304	44	14	,	,	PUNCT
ejpam-5304	44	15	2349	2349	NUM
ejpam-5304	44	16	-	-	SYM
ejpam-5304	44	17	2360	2360	NUM
ejpam-5304	44	18	2351	2351	NUM
ejpam-5304	44	19	dα(q	dα(q	NUM
ejpam-5304	44	20	)	)	PUNCT
ejpam-5304	44	21	=	=	SYM
ejpam-5304	44	22	1	1	NUM
ejpam-5304	44	23	α−	α−	ADP
ejpam-5304	44	24	1	1	NUM
ejpam-5304	44	25	log	log	NOUN
ejpam-5304	44	26	n∑	n∑	INTJ
ejpam-5304	44	27	k=1	k=1	PROPN
ejpam-5304	45	1	q2−α	q2−α	PROPN
ejpam-5304	45	2	k	k	PROPN
ejpam-5304	45	3	,	,	PUNCT
ejpam-5304	45	4	α	α	PROPN
ejpam-5304	45	5	̸=	̸=	PROPN
ejpam-5304	45	6	1,−∞	1,−∞	NUM
ejpam-5304	45	7	<	<	X
ejpam-5304	45	8	α	α	X
ejpam-5304	45	9	<	<	X
ejpam-5304	45	10	2	2	NUM
ejpam-5304	45	11	(	(	PUNCT
ejpam-5304	45	12	6	6	NUM
ejpam-5304	45	13	)	)	PUNCT
ejpam-5304	45	14	as	as	ADP
ejpam-5304	45	15	α	α	PROPN
ejpam-5304	45	16	→	→	SYM
ejpam-5304	45	17	1	1	NUM
ejpam-5304	45	18	,	,	PUNCT
ejpam-5304	45	19	above	above	ADP
ejpam-5304	45	20	all	all	DET
ejpam-5304	45	21	the	the	DET
ejpam-5304	45	22	equations	equation	NOUN
ejpam-5304	45	23	from	from	ADP
ejpam-5304	45	24	(	(	PUNCT
ejpam-5304	45	25	2	2	NUM
ejpam-5304	45	26	)	)	PUNCT
ejpam-5304	45	27	to	to	ADP
ejpam-5304	45	28	(	(	PUNCT
ejpam-5304	45	29	6	6	NUM
ejpam-5304	45	30	)	)	PUNCT
ejpam-5304	45	31	reduces	reduce	VERB
ejpam-5304	45	32	to	to	ADP
ejpam-5304	45	33	shannon	shannon	PROPN
ejpam-5304	45	34	’s	’s	PART
ejpam-5304	45	35	entropy	entropy	PROPN
ejpam-5304	45	36	.	.	PUNCT
ejpam-5304	46	1	hence	hence	ADV
ejpam-5304	46	2	these	these	PRON
ejpam-5304	46	3	are	be	AUX
ejpam-5304	46	4	known	know	VERB
ejpam-5304	46	5	as	as	ADP
ejpam-5304	46	6	generalized	generalize	VERB
ejpam-5304	46	7	entropies	entropy	NOUN
ejpam-5304	46	8	of	of	ADP
ejpam-5304	46	9	order	order	NOUN
ejpam-5304	46	10	α	α	NOUN
ejpam-5304	46	11	.	.	PROPN
ejpam-5304	46	12	2.2	2.2	NUM
ejpam-5304	46	13	.	.	PUNCT
ejpam-5304	47	1	fuzzy	fuzzy	PROPN
ejpam-5304	47	2	set	set	VERB
ejpam-5304	47	3	the	the	DET
ejpam-5304	47	4	concept	concept	NOUN
ejpam-5304	47	5	of	of	ADP
ejpam-5304	47	6	fuzzy	fuzzy	ADJ
ejpam-5304	47	7	set	set	NOUN
ejpam-5304	47	8	theory	theory	NOUN
ejpam-5304	47	9	of	of	ADP
ejpam-5304	47	10	probability	probability	NOUN
ejpam-5304	47	11	theory	theory	NOUN
ejpam-5304	47	12	was	be	AUX
ejpam-5304	47	13	proposed	propose	VERB
ejpam-5304	47	14	by	by	ADP
ejpam-5304	47	15	lofti	lofti	PROPN
ejpam-5304	47	16	zadeh	zadeh	PROPN
ejpam-5304	48	1	[	[	X
ejpam-5304	48	2	18	18	NUM
ejpam-5304	48	3	]	]	PUNCT
ejpam-5304	48	4	,	,	PUNCT
ejpam-5304	48	5	which	which	PRON
ejpam-5304	48	6	achieved	achieve	VERB
ejpam-5304	48	7	a	a	DET
ejpam-5304	48	8	big	big	ADJ
ejpam-5304	48	9	success	success	NOUN
ejpam-5304	48	10	in	in	ADP
ejpam-5304	48	11	various	various	ADJ
ejpam-5304	48	12	fields	field	NOUN
ejpam-5304	48	13	.	.	PUNCT
ejpam-5304	49	1	zadeh	zadeh	PROPN
ejpam-5304	49	2	introduced	introduce	VERB
ejpam-5304	49	3	the	the	DET
ejpam-5304	49	4	concept	concept	NOUN
ejpam-5304	49	5	of	of	ADP
ejpam-5304	49	6	fuzzy	fuzzy	ADJ
ejpam-5304	49	7	entropy	entropy	NOUN
ejpam-5304	49	8	as	as	ADP
ejpam-5304	49	9	a	a	DET
ejpam-5304	49	10	measure	measure	NOUN
ejpam-5304	49	11	of	of	ADP
ejpam-5304	49	12	uncertainty	uncertainty	NOUN
ejpam-5304	49	13	due	due	ADP
ejpam-5304	49	14	to	to	ADP
ejpam-5304	49	15	the	the	DET
ejpam-5304	49	16	fuzziness	fuzziness	NOUN
ejpam-5304	49	17	in	in	ADP
ejpam-5304	49	18	information	information	NOUN
ejpam-5304	49	19	.	.	PUNCT
ejpam-5304	50	1	kapur	kapur	PROPN
ejpam-5304	51	1	[	[	X
ejpam-5304	51	2	8	8	NUM
ejpam-5304	51	3	]	]	PUNCT
ejpam-5304	51	4	argued	argue	VERB
ejpam-5304	51	5	that	that	SCONJ
ejpam-5304	51	6	the	the	DET
ejpam-5304	51	7	fuzzy	fuzzy	ADJ
ejpam-5304	51	8	entropy	entropy	NOUN
ejpam-5304	51	9	measures	measure	VERB
ejpam-5304	51	10	uncertainty	uncertainty	NOUN
ejpam-5304	51	11	due	due	ADP
ejpam-5304	51	12	to	to	ADP
ejpam-5304	51	13	fuzziness	fuzziness	NOUN
ejpam-5304	51	14	of	of	ADP
ejpam-5304	51	15	information	information	NOUN
ejpam-5304	51	16	,	,	PUNCT
ejpam-5304	51	17	while	while	SCONJ
ejpam-5304	51	18	probabilistic	probabilistic	ADJ
ejpam-5304	51	19	entropy	entropy	NOUN
ejpam-5304	51	20	measures	measure	VERB
ejpam-5304	51	21	uncertainty	uncertainty	NOUN
ejpam-5304	51	22	due	due	ADP
ejpam-5304	51	23	to	to	ADP
ejpam-5304	51	24	the	the	DET
ejpam-5304	51	25	information	information	NOUN
ejpam-5304	51	26	available	available	ADJ
ejpam-5304	51	27	in	in	ADP
ejpam-5304	51	28	terms	term	NOUN
ejpam-5304	51	29	of	of	ADP
ejpam-5304	51	30	probability	probability	NOUN
ejpam-5304	51	31	distribution	distribution	NOUN
ejpam-5304	51	32	only	only	ADV
ejpam-5304	51	33	.	.	PUNCT
ejpam-5304	52	1	fuzzy	fuzzy	ADJ
ejpam-5304	52	2	set	set	NOUN
ejpam-5304	52	3	is	be	AUX
ejpam-5304	52	4	an	an	DET
ejpam-5304	52	5	extension	extension	NOUN
ejpam-5304	52	6	of	of	ADP
ejpam-5304	52	7	classical	classical	ADJ
ejpam-5304	52	8	set	set	NOUN
ejpam-5304	52	9	,	,	PUNCT
ejpam-5304	52	10	which	which	PRON
ejpam-5304	52	11	is	be	AUX
ejpam-5304	52	12	defined	define	VERB
ejpam-5304	52	13	as	as	ADP
ejpam-5304	52	14	b	b	X
ejpam-5304	52	15	=	=	SYM
ejpam-5304	52	16	{	{	PUNCT
ejpam-5304	52	17	(	(	PUNCT
ejpam-5304	52	18	x	x	NOUN
ejpam-5304	52	19	,	,	PUNCT
ejpam-5304	52	20	ηb(x)/x	ηb(x)/x	ADP
ejpam-5304	52	21	∈	∈	NOUN
ejpam-5304	52	22	x	x	PRON
ejpam-5304	52	23	}	}	PUNCT
ejpam-5304	52	24	with	with	ADP
ejpam-5304	52	25	the	the	DET
ejpam-5304	52	26	membership	membership	NOUN
ejpam-5304	52	27	function	function	NOUN
ejpam-5304	52	28	of	of	ADP
ejpam-5304	52	29	b	b	NOUN
ejpam-5304	52	30	as	as	ADP
ejpam-5304	52	31	ηb	ηb	ADV
ejpam-5304	52	32	:	:	PUNCT
ejpam-5304	52	33	x	x	X
ejpam-5304	52	34	→	→	SYM
ejpam-5304	52	35	[	[	X
ejpam-5304	52	36	0	0	NUM
ejpam-5304	52	37	,	,	PUNCT
ejpam-5304	52	38	1	1	NUM
ejpam-5304	52	39	]	]	PUNCT
ejpam-5304	52	40	.	.	PUNCT
ejpam-5304	53	1	the	the	DET
ejpam-5304	53	2	membership	membership	NOUN
ejpam-5304	53	3	value	value	NOUN
ejpam-5304	53	4	gives	give	VERB
ejpam-5304	53	5	the	the	DET
ejpam-5304	53	6	degree	degree	NOUN
ejpam-5304	53	7	of	of	ADP
ejpam-5304	53	8	belongingness	belongingness	NOUN
ejpam-5304	53	9	of	of	ADP
ejpam-5304	53	10	an	an	DET
ejpam-5304	53	11	element	element	NOUN
ejpam-5304	53	12	x	x	SYM
ejpam-5304	53	13	∈	∈	PROPN
ejpam-5304	53	14	b.	b.	PROPN
ejpam-5304	53	15	here	here	ADV
ejpam-5304	53	16	the	the	DET
ejpam-5304	53	17	end	end	NOUN
ejpam-5304	53	18	values	value	NOUN
ejpam-5304	53	19	0	0	PUNCT
ejpam-5304	53	20	and	and	CCONJ
ejpam-5304	53	21	1	1	NUM
ejpam-5304	53	22	gives	give	VERB
ejpam-5304	53	23	no	no	DET
ejpam-5304	53	24	membership	membership	NOUN
ejpam-5304	53	25	and	and	CCONJ
ejpam-5304	53	26	full	full	ADJ
ejpam-5304	53	27	membership	membership	NOUN
ejpam-5304	53	28	respectively	respectively	ADV
ejpam-5304	53	29	.	.	PUNCT
ejpam-5304	54	1	the	the	DET
ejpam-5304	54	2	membership	membership	NOUN
ejpam-5304	54	3	function	function	NOUN
ejpam-5304	54	4	ηb(x	ηb(x	VERB
ejpam-5304	54	5	)	)	PUNCT
ejpam-5304	54	6	is	be	AUX
ejpam-5304	54	7	defined	define	VERB
ejpam-5304	54	8	as	as	ADP
ejpam-5304	54	9	follows	follow	VERB
ejpam-5304	54	10	:	:	PUNCT
ejpam-5304	54	11	ηb(x	ηb(x	PUNCT
ejpam-5304	54	12	)	)	PUNCT
ejpam-5304	55	1	=	=	SYM
ejpam-5304	55	2			NOUN
ejpam-5304	55	3	0	0	PUNCT
ejpam-5304	56	1	if	if	SCONJ
ejpam-5304	56	2	x	x	PROPN
ejpam-5304	56	3	/∈	/∈	PROPN
ejpam-5304	56	4	b	b	NOUN
ejpam-5304	56	5	and	and	CCONJ
ejpam-5304	56	6	no	no	DET
ejpam-5304	56	7	ambiguity	ambiguity	NOUN
ejpam-5304	56	8	,	,	PUNCT
ejpam-5304	56	9	1	1	NUM
ejpam-5304	56	10	if	if	SCONJ
ejpam-5304	56	11	x	x	PROPN
ejpam-5304	56	12	∈	∈	PROPN
ejpam-5304	56	13	b	b	NOUN
ejpam-5304	56	14	and	and	CCONJ
ejpam-5304	56	15	no	no	DET
ejpam-5304	56	16	ambiguity	ambiguity	NOUN
ejpam-5304	56	17	,	,	PUNCT
ejpam-5304	56	18	0.5	0.5	NUM
ejpam-5304	56	19	if	if	SCONJ
ejpam-5304	56	20	max	max	PROPN
ejpam-5304	56	21	ambiguity	ambiguity	NOUN
ejpam-5304	56	22	,	,	PUNCT
ejpam-5304	56	23	x	x	PUNCT
ejpam-5304	56	24	∈	∈	PROPN
ejpam-5304	56	25	b	b	NOUN
ejpam-5304	56	26	or	or	CCONJ
ejpam-5304	56	27	not	not	PART
ejpam-5304	56	28	.	.	PUNCT
ejpam-5304	57	1	(	(	PUNCT
ejpam-5304	57	2	7	7	X
ejpam-5304	57	3	)	)	PUNCT
ejpam-5304	57	4	fuzzy	fuzzy	ADJ
ejpam-5304	57	5	set	set	VERB
ejpam-5304	57	6	operations	operation	NOUN
ejpam-5304	57	7	are	be	AUX
ejpam-5304	57	8	the	the	DET
ejpam-5304	57	9	generalizations	generalization	NOUN
ejpam-5304	57	10	of	of	ADP
ejpam-5304	57	11	crisp	crisp	ADJ
ejpam-5304	57	12	set	set	VERB
ejpam-5304	57	13	operations	operation	NOUN
ejpam-5304	57	14	.	.	PUNCT
ejpam-5304	58	1	some	some	DET
ejpam-5304	58	2	operations	operation	NOUN
ejpam-5304	58	3	on	on	ADP
ejpam-5304	58	4	fuzzy	fuzzy	ADJ
ejpam-5304	58	5	sets	set	NOUN
ejpam-5304	58	6	,	,	PUNCT
ejpam-5304	58	7	which	which	PRON
ejpam-5304	58	8	are	be	AUX
ejpam-5304	58	9	required	require	VERB
ejpam-5304	58	10	for	for	ADP
ejpam-5304	58	11	our	our	PRON
ejpam-5304	58	12	discussion	discussion	NOUN
ejpam-5304	58	13	,	,	PUNCT
ejpam-5304	58	14	are	be	AUX
ejpam-5304	58	15	as	as	SCONJ
ejpam-5304	58	16	follows	follow	VERB
ejpam-5304	58	17	:	:	PUNCT
ejpam-5304	58	18	a	a	X
ejpam-5304	58	19	)	)	PUNCT
ejpam-5304	58	20	union	union	NOUN
ejpam-5304	58	21	of	of	ADP
ejpam-5304	58	22	fuzzy	fuzzy	ADJ
ejpam-5304	58	23	sets	set	NOUN
ejpam-5304	58	24	:	:	PUNCT
ejpam-5304	58	25	let	let	VERB
ejpam-5304	58	26	r	r	NOUN
ejpam-5304	58	27	,	,	PUNCT
ejpam-5304	58	28	s	s	PART
ejpam-5304	58	29	,	,	PUNCT
ejpam-5304	58	30	t	t	PROPN
ejpam-5304	58	31	be	be	AUX
ejpam-5304	58	32	fuzzy	fuzzy	ADJ
ejpam-5304	58	33	sets	set	NOUN
ejpam-5304	58	34	of	of	ADP
ejpam-5304	58	35	universe	universe	NOUN
ejpam-5304	58	36	of	of	ADP
ejpam-5304	58	37	discourse	discourse	NOUN
ejpam-5304	58	38	y	y	PROPN
ejpam-5304	58	39	,	,	PUNCT
ejpam-5304	58	40	then	then	ADV
ejpam-5304	58	41	union	union	NOUN
ejpam-5304	58	42	operation	operation	NOUN
ejpam-5304	58	43	is	be	AUX
ejpam-5304	58	44	defined	define	VERB
ejpam-5304	58	45	as	as	ADP
ejpam-5304	58	46	:	:	PUNCT
ejpam-5304	58	47	r	r	NOUN
ejpam-5304	58	48	∪	∪	NOUN
ejpam-5304	58	49	s	s	PART
ejpam-5304	58	50	=	=	SYM
ejpam-5304	58	51	max(ηr(x	max(ηr(x	PROPN
ejpam-5304	58	52	)	)	PUNCT
ejpam-5304	58	53	,	,	PUNCT
ejpam-5304	58	54	ηs(x	ηs(x	NUM
ejpam-5304	58	55	)	)	PUNCT
ejpam-5304	58	56	)	)	PUNCT
ejpam-5304	59	1	(	(	PUNCT
ejpam-5304	59	2	8)	8)	NUM
ejpam-5304	59	3	(	(	PUNCT
ejpam-5304	59	4	(	(	PUNCT
ejpam-5304	59	5	r	r	NOUN
ejpam-5304	59	6	∪	∪	X
ejpam-5304	59	7	s	s	NOUN
ejpam-5304	59	8	)	)	PUNCT
ejpam-5304	59	9	∪	∪	PROPN
ejpam-5304	59	10	t	t	PROPN
ejpam-5304	59	11	)	)	PUNCT
ejpam-5304	59	12	=	=	PRON
ejpam-5304	59	13	{	{	PUNCT
ejpam-5304	59	14	y	y	PROPN
ejpam-5304	59	15	∈	∈	PROPN
ejpam-5304	59	16	y	y	PROPN
ejpam-5304	59	17	,	,	PUNCT
ejpam-5304	59	18	(	(	PUNCT
ejpam-5304	59	19	y	y	NOUN
ejpam-5304	59	20	,	,	PUNCT
ejpam-5304	59	21	max(max(ηr(y	max(max(ηr(y	NUM
ejpam-5304	59	22	)	)	PUNCT
ejpam-5304	59	23	,	,	PUNCT
ejpam-5304	59	24	ηs(y	ηs(y	NUM
ejpam-5304	59	25	)	)	PUNCT
ejpam-5304	59	26	)	)	PUNCT
ejpam-5304	59	27	,	,	PUNCT
ejpam-5304	59	28	ηt	ηt	ADP
ejpam-5304	59	29	(	(	PUNCT
ejpam-5304	59	30	y	y	NOUN
ejpam-5304	59	31	)	)	PUNCT
ejpam-5304	59	32	)	)	PUNCT
ejpam-5304	59	33	}	}	PUNCT
ejpam-5304	59	34	(	(	PUNCT
ejpam-5304	59	35	9	9	X
ejpam-5304	59	36	)	)	SYM
ejpam-5304	59	37	b	b	NOUN
ejpam-5304	59	38	)	)	PUNCT
ejpam-5304	59	39	intersection	intersection	NOUN
ejpam-5304	59	40	of	of	ADP
ejpam-5304	59	41	fuzzy	fuzzy	ADJ
ejpam-5304	59	42	sets	set	NOUN
ejpam-5304	59	43	:	:	PUNCT
ejpam-5304	59	44	let	let	VERB
ejpam-5304	59	45	r	r	NOUN
ejpam-5304	59	46	,	,	PUNCT
ejpam-5304	59	47	s	s	PART
ejpam-5304	59	48	,	,	PUNCT
ejpam-5304	59	49	t	t	PROPN
ejpam-5304	59	50	be	be	AUX
ejpam-5304	59	51	fuzzy	fuzzy	ADJ
ejpam-5304	59	52	sets	set	NOUN
ejpam-5304	59	53	of	of	ADP
ejpam-5304	59	54	universe	universe	NOUN
ejpam-5304	59	55	of	of	ADP
ejpam-5304	59	56	discourse	discourse	NOUN
ejpam-5304	59	57	y	y	PROPN
ejpam-5304	59	58	,	,	PUNCT
ejpam-5304	59	59	then	then	ADV
ejpam-5304	59	60	intersection	intersection	NOUN
ejpam-5304	59	61	operation	operation	NOUN
ejpam-5304	59	62	is	be	AUX
ejpam-5304	59	63	defined	define	VERB
ejpam-5304	59	64	as	as	ADP
ejpam-5304	59	65	:	:	PUNCT
ejpam-5304	59	66	r	r	NOUN
ejpam-5304	59	67	∩	∩	X
ejpam-5304	59	68	s	s	PART
ejpam-5304	59	69	=	=	SYM
ejpam-5304	59	70	min(ηr(x	min(ηr(x	PROPN
ejpam-5304	59	71	)	)	PUNCT
ejpam-5304	59	72	,	,	PUNCT
ejpam-5304	59	73	ηs(x	ηs(x	NUM
ejpam-5304	59	74	)	)	PUNCT
ejpam-5304	59	75	)	)	PUNCT
ejpam-5304	60	1	(	(	PUNCT
ejpam-5304	60	2	10	10	NUM
ejpam-5304	60	3	)	)	PUNCT
ejpam-5304	60	4	(	(	PUNCT
ejpam-5304	60	5	(	(	PUNCT
ejpam-5304	60	6	r	r	NOUN
ejpam-5304	60	7	∩	∩	X
ejpam-5304	60	8	s	s	PART
ejpam-5304	60	9	)	)	PUNCT
ejpam-5304	60	10	∩	∩	NOUN
ejpam-5304	60	11	t	t	NOUN
ejpam-5304	60	12	)	)	PUNCT
ejpam-5304	61	1	=	=	PRON
ejpam-5304	61	2	{	{	PUNCT
ejpam-5304	61	3	y	y	PROPN
ejpam-5304	61	4	∈	∈	PROPN
ejpam-5304	61	5	y	y	PROPN
ejpam-5304	61	6	,	,	PUNCT
ejpam-5304	61	7	(	(	PUNCT
ejpam-5304	61	8	y	y	NOUN
ejpam-5304	61	9	,	,	PUNCT
ejpam-5304	61	10	min(min(ηr(y	min(min(ηr(y	NUM
ejpam-5304	61	11	)	)	PUNCT
ejpam-5304	61	12	,	,	PUNCT
ejpam-5304	61	13	ηs(y	ηs(y	NUM
ejpam-5304	61	14	)	)	PUNCT
ejpam-5304	61	15	)	)	PUNCT
ejpam-5304	61	16	,	,	PUNCT
ejpam-5304	61	17	ηt	ηt	ADP
ejpam-5304	61	18	(	(	PUNCT
ejpam-5304	61	19	y	y	NOUN
ejpam-5304	61	20	)	)	PUNCT
ejpam-5304	61	21	)	)	PUNCT
ejpam-5304	61	22	}	}	PUNCT
ejpam-5304	61	23	(	(	PUNCT
ejpam-5304	61	24	11	11	NUM
ejpam-5304	61	25	)	)	PUNCT
ejpam-5304	61	26	c	c	NOUN
ejpam-5304	61	27	)	)	PUNCT
ejpam-5304	61	28	complement	complement	NOUN
ejpam-5304	61	29	of	of	ADP
ejpam-5304	61	30	fuzzy	fuzzy	ADJ
ejpam-5304	61	31	set	set	NOUN
ejpam-5304	61	32	:	:	PUNCT
ejpam-5304	61	33	let	let	VERB
ejpam-5304	61	34	r	r	PRON
ejpam-5304	61	35	be	be	AUX
ejpam-5304	61	36	a	a	DET
ejpam-5304	61	37	fuzzy	fuzzy	ADJ
ejpam-5304	61	38	set	set	NOUN
ejpam-5304	61	39	,	,	PUNCT
ejpam-5304	61	40	complement	complement	NOUN
ejpam-5304	61	41	of	of	ADP
ejpam-5304	61	42	r	r	NOUN
ejpam-5304	61	43	is	be	AUX
ejpam-5304	61	44	defined	define	VERB
ejpam-5304	61	45	as	as	ADP
ejpam-5304	61	46	ηrc(x	ηrc(x	NOUN
ejpam-5304	61	47	)	)	PUNCT
ejpam-5304	61	48	=	=	SYM
ejpam-5304	61	49	1−	1−	NUM
ejpam-5304	61	50	ηr(x	ηr(x	NUM
ejpam-5304	61	51	)	)	PUNCT
ejpam-5304	61	52	.	.	PUNCT
ejpam-5304	62	1	2.3	2.3	NUM
ejpam-5304	62	2	.	.	X
ejpam-5304	62	3	fuzzy	fuzzy	ADJ
ejpam-5304	62	4	entropy	entropy	PROPN
ejpam-5304	62	5	entropy	entropy	PROPN
ejpam-5304	62	6	of	of	ADP
ejpam-5304	62	7	a	a	DET
ejpam-5304	62	8	fuzzy	fuzzy	ADJ
ejpam-5304	62	9	set	set	NOUN
ejpam-5304	62	10	,	,	PUNCT
ejpam-5304	62	11	as	as	SCONJ
ejpam-5304	62	12	the	the	DET
ejpam-5304	62	13	probability	probability	NOUN
ejpam-5304	62	14	measure	measure	NOUN
ejpam-5304	62	15	of	of	ADP
ejpam-5304	62	16	fuzzy	fuzzy	ADJ
ejpam-5304	62	17	information	information	NOUN
ejpam-5304	62	18	is	be	AUX
ejpam-5304	62	19	defined	define	VERB
ejpam-5304	62	20	by	by	ADP
ejpam-5304	62	21	zadeh	zadeh	PROPN
ejpam-5304	63	1	[	[	X
ejpam-5304	63	2	17	17	NUM
ejpam-5304	63	3	]	]	PUNCT
ejpam-5304	63	4	and	and	CCONJ
ejpam-5304	63	5	it	it	PRON
ejpam-5304	63	6	is	be	AUX
ejpam-5304	63	7	given	give	VERB
ejpam-5304	63	8	as	as	SCONJ
ejpam-5304	63	9	follows	follow	VERB
ejpam-5304	63	10	:	:	PUNCT
ejpam-5304	63	11	d(b	d(b	X
ejpam-5304	63	12	)	)	PUNCT
ejpam-5304	64	1	=	=	SYM
ejpam-5304	65	1	−	−	PROPN
ejpam-5304	65	2	n∑	n∑	INTJ
ejpam-5304	65	3	k=1	k=1	PROPN
ejpam-5304	65	4	ηb(xk)pklogd(pk	ηb(xk)pklogd(pk	PROPN
ejpam-5304	65	5	)	)	PUNCT
ejpam-5304	65	6	(	(	PUNCT
ejpam-5304	65	7	12	12	NUM
ejpam-5304	65	8	)	)	PUNCT
ejpam-5304	65	9	v.	v.	ADP
ejpam-5304	65	10	m.	m.	PROPN
ejpam-5304	65	11	joshi	joshi	PROPN
ejpam-5304	65	12	,	,	PUNCT
ejpam-5304	65	13	j.	j.	PROPN
ejpam-5304	65	14	g.	g.	PROPN
ejpam-5304	65	15	dar	dar	PROPN
ejpam-5304	65	16	/	/	SYM
ejpam-5304	65	17	eur	eur	PROPN
ejpam-5304	65	18	.	.	PUNCT
ejpam-5304	66	1	j.	j.	PROPN
ejpam-5304	66	2	pure	pure	PROPN
ejpam-5304	66	3	appl	appl	PROPN
ejpam-5304	66	4	.	.	PROPN
ejpam-5304	66	5	math	math	PROPN
ejpam-5304	66	6	,	,	PUNCT
ejpam-5304	66	7	17	17	NUM
ejpam-5304	66	8	(	(	PUNCT
ejpam-5304	66	9	3	3	NUM
ejpam-5304	66	10	)	)	PUNCT
ejpam-5304	66	11	(	(	PUNCT
ejpam-5304	66	12	2024	2024	NUM
ejpam-5304	66	13	)	)	PUNCT
ejpam-5304	66	14	,	,	PUNCT
ejpam-5304	66	15	2349	2349	NUM
ejpam-5304	66	16	-	-	SYM
ejpam-5304	66	17	2360	2360	NUM
ejpam-5304	66	18	2352	2352	NUM
ejpam-5304	66	19	where	where	SCONJ
ejpam-5304	66	20	ηb	ηb	PROPN
ejpam-5304	66	21	represent	represent	VERB
ejpam-5304	66	22	the	the	DET
ejpam-5304	66	23	membership	membership	NOUN
ejpam-5304	66	24	function	function	NOUN
ejpam-5304	66	25	of	of	ADP
ejpam-5304	66	26	b	b	PROPN
ejpam-5304	66	27	and	and	CCONJ
ejpam-5304	66	28	x=	x=	NUM
ejpam-5304	66	29	{	{	PUNCT
ejpam-5304	66	30	x1	x1	PROPN
ejpam-5304	66	31	,	,	PUNCT
ejpam-5304	66	32	x2	x2	PROPN
ejpam-5304	66	33	,	,	PUNCT
ejpam-5304	66	34	....	....	PUNCT
ejpam-5304	66	35	,	,	PUNCT
ejpam-5304	66	36	xn	xn	PRON
ejpam-5304	66	37	}	}	PUNCT
ejpam-5304	66	38	be	be	AUX
ejpam-5304	66	39	a	a	DET
ejpam-5304	66	40	discrete	discrete	ADJ
ejpam-5304	66	41	random	random	ADJ
ejpam-5304	66	42	variable	variable	NOUN
ejpam-5304	66	43	with	with	ADP
ejpam-5304	66	44	probability	probability	NOUN
ejpam-5304	66	45	distribution	distribution	NOUN
ejpam-5304	66	46	{	{	PUNCT
ejpam-5304	66	47	p1	p1	NOUN
ejpam-5304	66	48	,	,	PUNCT
ejpam-5304	66	49	p2	p2	NOUN
ejpam-5304	66	50	,	,	PUNCT
ejpam-5304	66	51	....	....	PUNCT
ejpam-5304	66	52	,	,	PUNCT
ejpam-5304	66	53	pn	pn	PROPN
ejpam-5304	66	54	}	}	PUNCT
ejpam-5304	66	55	.	.	PUNCT
ejpam-5304	67	1	in	in	ADP
ejpam-5304	67	2	(	(	PUNCT
ejpam-5304	67	3	12	12	NUM
ejpam-5304	67	4	)	)	PUNCT
ejpam-5304	67	5	,	,	PUNCT
ejpam-5304	67	6	when	when	SCONJ
ejpam-5304	67	7	the	the	DET
ejpam-5304	67	8	base	base	NOUN
ejpam-5304	67	9	value	value	NOUN
ejpam-5304	67	10	d	d	X
ejpam-5304	67	11	=	=	SYM
ejpam-5304	67	12	2	2	NUM
ejpam-5304	67	13	,	,	PUNCT
ejpam-5304	67	14	then	then	ADV
ejpam-5304	67	15	the	the	DET
ejpam-5304	67	16	entropy	entropy	NOUN
ejpam-5304	67	17	measure	measure	NOUN
ejpam-5304	67	18	is	be	AUX
ejpam-5304	67	19	called	call	VERB
ejpam-5304	67	20	as	as	ADP
ejpam-5304	67	21	bit	bit	NOUN
ejpam-5304	67	22	,	,	PUNCT
ejpam-5304	67	23	for	for	ADP
ejpam-5304	67	24	d	d	NOUN
ejpam-5304	67	25	=	=	SYM
ejpam-5304	67	26	10	10	NUM
ejpam-5304	67	27	,	,	PUNCT
ejpam-5304	67	28	it	it	PRON
ejpam-5304	67	29	is	be	AUX
ejpam-5304	67	30	known	know	VERB
ejpam-5304	67	31	as	as	ADP
ejpam-5304	67	32	heartley	heartley	ADJ
ejpam-5304	67	33	and	and	CCONJ
ejpam-5304	67	34	for	for	ADP
ejpam-5304	67	35	d	d	PROPN
ejpam-5304	67	36	=	=	SYM
ejpam-5304	67	37	e	e	NOUN
ejpam-5304	67	38	,	,	PUNCT
ejpam-5304	67	39	it	it	PRON
ejpam-5304	67	40	is	be	AUX
ejpam-5304	67	41	called	call	VERB
ejpam-5304	67	42	as	as	ADP
ejpam-5304	67	43	nat	nat	PROPN
ejpam-5304	67	44	.	.	PUNCT
ejpam-5304	68	1	usually	usually	ADV
ejpam-5304	68	2	in	in	ADP
ejpam-5304	68	3	the	the	DET
ejpam-5304	68	4	communication	communication	NOUN
ejpam-5304	68	5	system	system	NOUN
ejpam-5304	68	6	the	the	DET
ejpam-5304	68	7	sourcecode	sourcecode	NOUN
ejpam-5304	68	8	is	be	AUX
ejpam-5304	68	9	converted	convert	VERB
ejpam-5304	68	10	to	to	ADP
ejpam-5304	68	11	bit	bit	NOUN
ejpam-5304	68	12	and	and	CCONJ
ejpam-5304	68	13	hence	hence	ADV
ejpam-5304	68	14	we	we	PRON
ejpam-5304	68	15	use	use	VERB
ejpam-5304	68	16	logarithm	logarithm	NOUN
ejpam-5304	68	17	to	to	ADP
ejpam-5304	68	18	the	the	DET
ejpam-5304	68	19	base	base	NOUN
ejpam-5304	68	20	2	2	NUM
ejpam-5304	68	21	.	.	PUNCT
ejpam-5304	69	1	in	in	ADP
ejpam-5304	69	2	fuzzy	fuzzy	ADJ
ejpam-5304	69	3	set	set	NOUN
ejpam-5304	69	4	theory	theory	NOUN
ejpam-5304	69	5	each	each	DET
ejpam-5304	69	6	element	element	NOUN
ejpam-5304	69	7	is	be	AUX
ejpam-5304	69	8	associated	associate	VERB
ejpam-5304	69	9	with	with	ADP
ejpam-5304	69	10	the	the	DET
ejpam-5304	69	11	degree	degree	NOUN
ejpam-5304	69	12	of	of	ADP
ejpam-5304	69	13	membership	membership	NOUN
ejpam-5304	69	14	,	,	PUNCT
ejpam-5304	69	15	these	these	DET
ejpam-5304	69	16	membership	membership	NOUN
ejpam-5304	69	17	values	value	NOUN
ejpam-5304	69	18	are	be	AUX
ejpam-5304	69	19	lies	lie	NOUN
ejpam-5304	69	20	between	between	ADP
ejpam-5304	69	21	0	0	NUM
ejpam-5304	69	22	and	and	CCONJ
ejpam-5304	69	23	1	1	NUM
ejpam-5304	69	24	but	but	CCONJ
ejpam-5304	69	25	they	they	PRON
ejpam-5304	69	26	are	be	AUX
ejpam-5304	69	27	not	not	PART
ejpam-5304	69	28	probabilities	probability	NOUN
ejpam-5304	69	29	as	as	SCONJ
ejpam-5304	69	30	their	their	PRON
ejpam-5304	69	31	sum	sum	NOUN
ejpam-5304	69	32	is	be	AUX
ejpam-5304	69	33	not	not	PART
ejpam-5304	69	34	equal	equal	ADJ
ejpam-5304	69	35	to	to	ADP
ejpam-5304	69	36	1	1	NUM
ejpam-5304	69	37	.	.	PUNCT
ejpam-5304	70	1	hence	hence	ADV
ejpam-5304	70	2	kauffman	kauffman	PROPN
ejpam-5304	71	1	[	[	X
ejpam-5304	71	2	9	9	NUM
ejpam-5304	71	3	]	]	PUNCT
ejpam-5304	71	4	defined	define	VERB
ejpam-5304	71	5	a	a	DET
ejpam-5304	71	6	fuzzy	fuzzy	ADJ
ejpam-5304	71	7	entropy	entropy	NOUN
ejpam-5304	71	8	of	of	ADP
ejpam-5304	71	9	set	set	PROPN
ejpam-5304	71	10	b	b	PROPN
ejpam-5304	71	11	as	as	ADP
ejpam-5304	71	12	d(b	d(b	X
ejpam-5304	71	13	)	)	PUNCT
ejpam-5304	72	1	=	=	SYM
ejpam-5304	73	1	−	−	PROPN
ejpam-5304	73	2	1	1	NUM
ejpam-5304	73	3	logn	logn	NOUN
ejpam-5304	73	4	n∑	n∑	INTJ
ejpam-5304	73	5	k=1	k=1	X
ejpam-5304	73	6	ψb(xk)log(ψb(xk	ψb(xk)log(ψb(xk	PROPN
ejpam-5304	73	7	)	)	PUNCT
ejpam-5304	73	8	)	)	PUNCT
ejpam-5304	73	9	(	(	PUNCT
ejpam-5304	73	10	13	13	NUM
ejpam-5304	73	11	)	)	PUNCT
ejpam-5304	73	12	where	where	SCONJ
ejpam-5304	73	13	ψb(xk	ψb(xk	PROPN
ejpam-5304	73	14	)	)	PUNCT
ejpam-5304	74	1	=	=	PUNCT
ejpam-5304	74	2	ηb(xk)∑n	ηb(xk)∑n	NOUN
ejpam-5304	74	3	k=1	k=1	PUNCT
ejpam-5304	74	4	ηb(xk	ηb(xk	PROPN
ejpam-5304	74	5	)	)	PUNCT
ejpam-5304	74	6	is	be	AUX
ejpam-5304	74	7	a	a	DET
ejpam-5304	74	8	probability	probability	NOUN
ejpam-5304	74	9	distribution	distribution	NOUN
ejpam-5304	74	10	.	.	PUNCT
ejpam-5304	75	1	it	it	PRON
ejpam-5304	75	2	means	mean	VERB
ejpam-5304	75	3	that	that	SCONJ
ejpam-5304	75	4	fuzzy	fuzzy	ADJ
ejpam-5304	75	5	entropy	entropy	NOUN
ejpam-5304	75	6	is	be	AUX
ejpam-5304	75	7	nonprobabilistic	nonprobabilistic	ADJ
ejpam-5304	75	8	entropy	entropy	NOUN
ejpam-5304	75	9	.	.	PUNCT
ejpam-5304	76	1	a	a	DET
ejpam-5304	76	2	measure	measure	NOUN
ejpam-5304	76	3	of	of	ADP
ejpam-5304	76	4	fuzziness	fuzziness	NOUN
ejpam-5304	76	5	h(b	h(b	PROPN
ejpam-5304	76	6	)	)	PUNCT
ejpam-5304	76	7	in	in	ADP
ejpam-5304	76	8	a	a	DET
ejpam-5304	76	9	fuzzy	fuzzy	ADJ
ejpam-5304	76	10	set	set	NOUN
ejpam-5304	76	11	should	should	AUX
ejpam-5304	76	12	have	have	VERB
ejpam-5304	76	13	the	the	DET
ejpam-5304	76	14	following	follow	VERB
ejpam-5304	76	15	four	four	NUM
ejpam-5304	76	16	properties	property	NOUN
ejpam-5304	76	17	:	:	PUNCT
ejpam-5304	76	18	a	a	X
ejpam-5304	76	19	)	)	PUNCT
ejpam-5304	76	20	d(b	d(b	PROPN
ejpam-5304	76	21	)	)	PUNCT
ejpam-5304	77	1	=	=	SYM
ejpam-5304	77	2	0	0	PUNCT
ejpam-5304	78	1	if	if	SCONJ
ejpam-5304	78	2	and	and	CCONJ
ejpam-5304	78	3	only	only	ADV
ejpam-5304	78	4	if	if	SCONJ
ejpam-5304	78	5	b	b	NOUN
ejpam-5304	78	6	is	be	AUX
ejpam-5304	78	7	a	a	DET
ejpam-5304	78	8	crisp	crisp	ADJ
ejpam-5304	78	9	set	set	NOUN
ejpam-5304	78	10	.	.	PUNCT
ejpam-5304	79	1	for	for	ADP
ejpam-5304	79	2	ηb(xi	ηb(xi	PROPN
ejpam-5304	79	3	)	)	PUNCT
ejpam-5304	79	4	=	=	SYM
ejpam-5304	79	5	0	0	NUM
ejpam-5304	79	6	or	or	CCONJ
ejpam-5304	79	7	ηb(xi	ηb(xi	ADJ
ejpam-5304	79	8	)	)	PUNCT
ejpam-5304	79	9	=	=	SYM
ejpam-5304	79	10	1	1	NUM
ejpam-5304	79	11	,	,	PUNCT
ejpam-5304	79	12	the	the	DET
ejpam-5304	79	13	value	value	NOUN
ejpam-5304	79	14	of	of	ADP
ejpam-5304	79	15	d(b	d(b	PROPN
ejpam-5304	79	16	)	)	PUNCT
ejpam-5304	79	17	is	be	AUX
ejpam-5304	79	18	zero	zero	NUM
ejpam-5304	79	19	.	.	PUNCT
ejpam-5304	80	1	b	b	X
ejpam-5304	80	2	)	)	PUNCT
ejpam-5304	80	3	d(b	d(b	PROPN
ejpam-5304	80	4	)	)	PUNCT
ejpam-5304	80	5	is	be	AUX
ejpam-5304	80	6	maximum	maximum	ADJ
ejpam-5304	80	7	if	if	SCONJ
ejpam-5304	80	8	b	b	NOUN
ejpam-5304	80	9	is	be	AUX
ejpam-5304	80	10	most	most	ADV
ejpam-5304	80	11	fuzzy	fuzzy	ADJ
ejpam-5304	80	12	set	set	NOUN
ejpam-5304	80	13	.	.	PUNCT
ejpam-5304	81	1	if	if	SCONJ
ejpam-5304	81	2	ηb(xi	ηb(xi	PROPN
ejpam-5304	81	3	)	)	PUNCT
ejpam-5304	82	1	=	=	SYM
ejpam-5304	82	2	0.5	0.5	NUM
ejpam-5304	82	3	then	then	ADV
ejpam-5304	82	4	d(b	d(b	NUM
ejpam-5304	82	5	)	)	PUNCT
ejpam-5304	82	6	takes	take	VERB
ejpam-5304	82	7	the	the	DET
ejpam-5304	82	8	maximum	maximum	ADJ
ejpam-5304	82	9	value	value	NOUN
ejpam-5304	82	10	.	.	PUNCT
ejpam-5304	83	1	c	c	X
ejpam-5304	83	2	)	)	PUNCT
ejpam-5304	83	3	d(b∗	d(b∗	NOUN
ejpam-5304	83	4	)	)	PUNCT
ejpam-5304	83	5	>	>	X
ejpam-5304	83	6	d(b	d(b	PROPN
ejpam-5304	83	7	)	)	PUNCT
ejpam-5304	83	8	where	where	SCONJ
ejpam-5304	83	9	b∗	b∗	ADJ
ejpam-5304	83	10	is	be	AUX
ejpam-5304	83	11	a	a	DET
ejpam-5304	83	12	sharpened	sharpen	VERB
ejpam-5304	83	13	version	version	NOUN
ejpam-5304	83	14	of	of	ADP
ejpam-5304	83	15	b.	b.	PROPN
ejpam-5304	83	16	d	d	PROPN
ejpam-5304	83	17	)	)	PUNCT
ejpam-5304	83	18	d(bc	d(bc	PROPN
ejpam-5304	83	19	)	)	PUNCT
ejpam-5304	84	1	=	=	SYM
ejpam-5304	84	2	d(b	d(b	X
ejpam-5304	84	3	)	)	PUNCT
ejpam-5304	84	4	where	where	SCONJ
ejpam-5304	84	5	bc	bc	PROPN
ejpam-5304	84	6	is	be	AUX
ejpam-5304	84	7	the	the	DET
ejpam-5304	84	8	complement	complement	NOUN
ejpam-5304	84	9	of	of	ADP
ejpam-5304	84	10	fuzzy	fuzzy	ADJ
ejpam-5304	84	11	set	set	VERB
ejpam-5304	84	12	b	b	NOUN
ejpam-5304	84	13	as	as	ADP
ejpam-5304	84	14	ηb(xi	ηb(xi	PROPN
ejpam-5304	84	15	)	)	PUNCT
ejpam-5304	84	16	and	and	CCONJ
ejpam-5304	84	17	1−	1−	NUM
ejpam-5304	84	18	ηb(xi	ηb(xi	PROPN
ejpam-5304	84	19	)	)	PUNCT
ejpam-5304	84	20	have	have	VERB
ejpam-5304	84	21	same	same	ADJ
ejpam-5304	84	22	membership	membership	NOUN
ejpam-5304	84	23	value	value	NOUN
ejpam-5304	84	24	,	,	PUNCT
ejpam-5304	84	25	taking	take	VERB
ejpam-5304	84	26	this	this	PRON
ejpam-5304	84	27	into	into	ADP
ejpam-5304	84	28	account	account	NOUN
ejpam-5304	84	29	de	de	X
ejpam-5304	84	30	luca	luca	PROPN
ejpam-5304	84	31	and	and	CCONJ
ejpam-5304	84	32	termini	termini	VERB
ejpam-5304	84	33	[	[	X
ejpam-5304	84	34	10	10	NUM
ejpam-5304	84	35	]	]	PUNCT
ejpam-5304	84	36	introduced	introduce	VERB
ejpam-5304	84	37	a	a	DET
ejpam-5304	84	38	new	new	ADJ
ejpam-5304	84	39	measure	measure	NOUN
ejpam-5304	84	40	of	of	ADP
ejpam-5304	84	41	fuzzy	fuzzy	ADJ
ejpam-5304	84	42	entropy	entropy	NOUN
ejpam-5304	84	43	corresponding	correspond	VERB
ejpam-5304	84	44	to	to	ADP
ejpam-5304	84	45	shannon	shannon	PROPN
ejpam-5304	84	46	’s	’s	PART
ejpam-5304	84	47	entropy	entropy	PROPN
ejpam-5304	84	48	d(b	d(b	PROPN
ejpam-5304	84	49	)	)	PUNCT
ejpam-5304	85	1	=	=	PUNCT
ejpam-5304	86	1	−	−	PROPN
ejpam-5304	86	2	n∑	n∑	INTJ
ejpam-5304	86	3	k=1	k=1	X
ejpam-5304	86	4	ηb(xk)log(ηb(xk	ηb(xk)log(ηb(xk	PROPN
ejpam-5304	86	5	)	)	PUNCT
ejpam-5304	86	6	)	)	PUNCT
ejpam-5304	87	1	+	+	CCONJ
ejpam-5304	87	2	(	(	PUNCT
ejpam-5304	87	3	1−	1−	NUM
ejpam-5304	87	4	ηb(xk))log(1−	ηb(xk))log(1−	PROPN
ejpam-5304	87	5	ηb(xk	ηb(xk	PROPN
ejpam-5304	87	6	)	)	PUNCT
ejpam-5304	87	7	)	)	PUNCT
ejpam-5304	87	8	(	(	PUNCT
ejpam-5304	87	9	14	14	X
ejpam-5304	87	10	)	)	PUNCT
ejpam-5304	87	11	equation	equation	NOUN
ejpam-5304	87	12	(	(	PUNCT
ejpam-5304	87	13	14	14	NUM
ejpam-5304	87	14	)	)	PUNCT
ejpam-5304	87	15	satisfies	satisfy	VERB
ejpam-5304	87	16	all	all	DET
ejpam-5304	87	17	the	the	DET
ejpam-5304	87	18	four	four	NUM
ejpam-5304	87	19	properties	property	NOUN
ejpam-5304	87	20	(	(	PUNCT
ejpam-5304	87	21	a	a	NOUN
ejpam-5304	87	22	)	)	PUNCT
ejpam-5304	87	23	to	to	ADP
ejpam-5304	87	24	(	(	PUNCT
ejpam-5304	87	25	d	d	NOUN
ejpam-5304	87	26	)	)	PUNCT
ejpam-5304	87	27	,	,	PUNCT
ejpam-5304	87	28	hence	hence	ADV
ejpam-5304	87	29	it	it	PRON
ejpam-5304	87	30	is	be	AUX
ejpam-5304	87	31	a	a	DET
ejpam-5304	87	32	valid	valid	ADJ
ejpam-5304	87	33	measure	measure	NOUN
ejpam-5304	87	34	of	of	ADP
ejpam-5304	87	35	fuzzy	fuzzy	ADJ
ejpam-5304	87	36	entropy	entropy	NOUN
ejpam-5304	87	37	.	.	PUNCT
ejpam-5304	88	1	later	later	ADV
ejpam-5304	88	2	on	on	ADP
ejpam-5304	88	3	bhandari	bhandari	NOUN
ejpam-5304	88	4	and	and	CCONJ
ejpam-5304	88	5	pal	pal	ADJ
ejpam-5304	88	6	[	[	X
ejpam-5304	88	7	2	2	NUM
ejpam-5304	88	8	]	]	PUNCT
ejpam-5304	88	9	and	and	CCONJ
ejpam-5304	88	10	j.	j.	PROPN
ejpam-5304	88	11	kapur	kapur	PROPN
ejpam-5304	89	1	[	[	X
ejpam-5304	89	2	8	8	NUM
ejpam-5304	89	3	]	]	PUNCT
ejpam-5304	89	4	suggested	suggest	VERB
ejpam-5304	89	5	the	the	DET
ejpam-5304	89	6	following	follow	VERB
ejpam-5304	89	7	measure	measure	NOUN
ejpam-5304	89	8	of	of	ADP
ejpam-5304	89	9	fuzzy	fuzzy	ADJ
ejpam-5304	89	10	entropy	entropy	NOUN
ejpam-5304	89	11	d(b	d(b	X
ejpam-5304	89	12	)	)	PUNCT
ejpam-5304	90	1	=	=	PUNCT
ejpam-5304	91	1	−	−	PROPN
ejpam-5304	91	2	n∑	n∑	NOUN
ejpam-5304	91	3	i=1	i=1	X
ejpam-5304	92	1	[	[	X
ejpam-5304	92	2	ηb(xi)log(ηb(xi	ηb(xi)log(ηb(xi	NOUN
ejpam-5304	92	3	)	)	PUNCT
ejpam-5304	92	4	)	)	PUNCT
ejpam-5304	93	1	α	α	PROPN
ejpam-5304	93	2	+	+	X
ejpam-5304	93	3	(	(	PUNCT
ejpam-5304	93	4	1−	1−	NUM
ejpam-5304	93	5	ηb(xi))log(1−	ηb(xi))log(1−	NOUN
ejpam-5304	93	6	ηb(xi	ηb(xi	PROPN
ejpam-5304	93	7	)	)	PUNCT
ejpam-5304	93	8	)	)	PUNCT
ejpam-5304	94	1	α	α	X
ejpam-5304	94	2	]	]	X
ejpam-5304	94	3	(	(	PUNCT
ejpam-5304	94	4	15	15	NUM
ejpam-5304	94	5	)	)	PUNCT
ejpam-5304	94	6	and	and	CCONJ
ejpam-5304	94	7	d(b	d(b	NOUN
ejpam-5304	94	8	)	)	PUNCT
ejpam-5304	94	9	=	=	SYM
ejpam-5304	95	1	−	−	PROPN
ejpam-5304	95	2	n∑	n∑	INTJ
ejpam-5304	95	3	i=1	i=1	PROPN
ejpam-5304	95	4	(	(	PUNCT
ejpam-5304	95	5	ηb(xi	ηb(xi	PROPN
ejpam-5304	95	6	)	)	PUNCT
ejpam-5304	95	7	α	α	PROPN
ejpam-5304	95	8	+	+	X
ejpam-5304	95	9	(	(	PUNCT
ejpam-5304	95	10	1−	1−	NUM
ejpam-5304	95	11	ηb(xi	ηb(xi	NOUN
ejpam-5304	95	12	)	)	PUNCT
ejpam-5304	95	13	)	)	PUNCT
ejpam-5304	96	1	α	α	PRON
ejpam-5304	96	2	−	−	NOUN
ejpam-5304	96	3	1	1	NUM
ejpam-5304	96	4	)	)	PUNCT
ejpam-5304	96	5	(	(	PUNCT
ejpam-5304	96	6	16	16	NUM
ejpam-5304	96	7	)	)	PUNCT
ejpam-5304	96	8	respectively	respectively	ADV
ejpam-5304	96	9	.	.	PUNCT
ejpam-5304	97	1	in	in	ADP
ejpam-5304	97	2	recent	recent	ADJ
ejpam-5304	97	3	years	year	NOUN
ejpam-5304	97	4	,	,	PUNCT
ejpam-5304	97	5	many	many	ADJ
ejpam-5304	97	6	researchers	researcher	NOUN
ejpam-5304	97	7	[	[	X
ejpam-5304	97	8	3],[4],[7],[11],[1],[8	3],[4],[7],[11],[1],[8	NUM
ejpam-5304	97	9	]	]	X
ejpam-5304	97	10	etc	etc	X
ejpam-5304	97	11	.	.	X
ejpam-5304	97	12	have	have	AUX
ejpam-5304	97	13	studied	study	VERB
ejpam-5304	97	14	and	and	CCONJ
ejpam-5304	97	15	introduced	introduce	VERB
ejpam-5304	97	16	several	several	ADJ
ejpam-5304	97	17	generalizations	generalization	NOUN
ejpam-5304	97	18	of	of	ADP
ejpam-5304	97	19	fuzzy	fuzzy	ADJ
ejpam-5304	97	20	entropy	entropy	NOUN
ejpam-5304	97	21	measures	measure	NOUN
ejpam-5304	97	22	.	.	PUNCT
ejpam-5304	98	1	the	the	DET
ejpam-5304	98	2	remaining	remain	VERB
ejpam-5304	98	3	paper	paper	NOUN
ejpam-5304	98	4	is	be	AUX
ejpam-5304	98	5	organized	organize	VERB
ejpam-5304	98	6	as	as	SCONJ
ejpam-5304	98	7	follows	follow	VERB
ejpam-5304	98	8	.	.	PUNCT
ejpam-5304	99	1	in	in	ADP
ejpam-5304	99	2	section	section	NOUN
ejpam-5304	99	3	2	2	NUM
ejpam-5304	99	4	,	,	PUNCT
ejpam-5304	99	5	given	give	VERB
ejpam-5304	99	6	the	the	DET
ejpam-5304	99	7	basic	basic	ADJ
ejpam-5304	99	8	concepts	concept	NOUN
ejpam-5304	99	9	of	of	ADP
ejpam-5304	99	10	entropy	entropy	NOUN
ejpam-5304	99	11	function	function	NOUN
ejpam-5304	99	12	by	by	ADP
ejpam-5304	99	13	covering	cover	VERB
ejpam-5304	99	14	the	the	DET
ejpam-5304	99	15	basic	basic	ADJ
ejpam-5304	99	16	terms	term	NOUN
ejpam-5304	99	17	like	like	ADP
ejpam-5304	99	18	entropy	entropy	NOUN
ejpam-5304	99	19	,	,	PUNCT
ejpam-5304	99	20	fuzzy	fuzzy	ADJ
ejpam-5304	99	21	sets	set	NOUN
ejpam-5304	99	22	and	and	CCONJ
ejpam-5304	99	23	fuzzy	fuzzy	ADJ
ejpam-5304	99	24	entropy	entropy	NOUN
ejpam-5304	99	25	,	,	PUNCT
ejpam-5304	99	26	required	require	VERB
ejpam-5304	99	27	for	for	ADP
ejpam-5304	99	28	the	the	DET
ejpam-5304	99	29	proposed	propose	VERB
ejpam-5304	99	30	generalization	generalization	NOUN
ejpam-5304	99	31	of	of	ADP
ejpam-5304	99	32	fuzzy	fuzzy	ADJ
ejpam-5304	99	33	entropy	entropy	NOUN
ejpam-5304	99	34	.	.	PUNCT
ejpam-5304	100	1	in	in	ADP
ejpam-5304	100	2	section	section	NOUN
ejpam-5304	100	3	3	3	NUM
ejpam-5304	100	4	,	,	PUNCT
ejpam-5304	100	5	we	we	PRON
ejpam-5304	100	6	have	have	AUX
ejpam-5304	100	7	proposed	propose	VERB
ejpam-5304	100	8	a	a	DET
ejpam-5304	100	9	new	new	ADJ
ejpam-5304	100	10	parametric	parametric	ADJ
ejpam-5304	100	11	generalized	generalize	VERB
ejpam-5304	100	12	fuzzy	fuzzy	ADJ
ejpam-5304	100	13	v.	v.	ADP
ejpam-5304	100	14	m.	m.	PROPN
ejpam-5304	100	15	joshi	joshi	PROPN
ejpam-5304	100	16	,	,	PUNCT
ejpam-5304	100	17	j.	j.	PROPN
ejpam-5304	100	18	g.	g.	PROPN
ejpam-5304	100	19	dar	dar	PROPN
ejpam-5304	100	20	/	/	SYM
ejpam-5304	100	21	eur	eur	PROPN
ejpam-5304	100	22	.	.	PUNCT
ejpam-5304	101	1	j.	j.	PROPN
ejpam-5304	101	2	pure	pure	PROPN
ejpam-5304	101	3	appl	appl	PROPN
ejpam-5304	101	4	.	.	PROPN
ejpam-5304	101	5	math	math	PROPN
ejpam-5304	101	6	,	,	PUNCT
ejpam-5304	101	7	17	17	NUM
ejpam-5304	101	8	(	(	PUNCT
ejpam-5304	101	9	3	3	NUM
ejpam-5304	101	10	)	)	PUNCT
ejpam-5304	101	11	(	(	PUNCT
ejpam-5304	101	12	2024	2024	NUM
ejpam-5304	101	13	)	)	PUNCT
ejpam-5304	101	14	,	,	PUNCT
ejpam-5304	101	15	2349	2349	NUM
ejpam-5304	101	16	-	-	SYM
ejpam-5304	101	17	2360	2360	NUM
ejpam-5304	101	18	2353	2353	NUM
ejpam-5304	101	19	entropy	entropy	NOUN
ejpam-5304	101	20	measure	measure	NOUN
ejpam-5304	101	21	corresponding	correspond	VERB
ejpam-5304	101	22	to	to	ADP
ejpam-5304	101	23	[	[	X
ejpam-5304	101	24	11	11	NUM
ejpam-5304	101	25	]	]	PUNCT
ejpam-5304	101	26	.	.	PUNCT
ejpam-5304	102	1	section	section	NOUN
ejpam-5304	102	2	4	4	NUM
ejpam-5304	102	3	provides	provide	VERB
ejpam-5304	102	4	some	some	DET
ejpam-5304	102	5	more	more	ADV
ejpam-5304	102	6	elegant	elegant	ADJ
ejpam-5304	102	7	properties	property	NOUN
ejpam-5304	102	8	of	of	ADP
ejpam-5304	102	9	the	the	DET
ejpam-5304	102	10	proposed	propose	VERB
ejpam-5304	102	11	measure	measure	NOUN
ejpam-5304	102	12	in	in	ADP
ejpam-5304	102	13	a	a	DET
ejpam-5304	102	14	number	number	NOUN
ejpam-5304	102	15	of	of	ADP
ejpam-5304	102	16	theorems	theorem	NOUN
ejpam-5304	102	17	.	.	PUNCT
ejpam-5304	103	1	finally	finally	ADV
ejpam-5304	103	2	some	some	DET
ejpam-5304	103	3	concluding	concluding	NOUN
ejpam-5304	103	4	remarks	remark	NOUN
ejpam-5304	103	5	in	in	ADP
ejpam-5304	103	6	section	section	NOUN
ejpam-5304	103	7	5	5	NUM
ejpam-5304	103	8	.	.	NOUN
ejpam-5304	103	9	3	3	NUM
ejpam-5304	103	10	.	.	NUM
ejpam-5304	103	11	generalized	generalize	VERB
ejpam-5304	103	12	fuzzy	fuzzy	ADJ
ejpam-5304	103	13	entropy	entropy	NOUN
ejpam-5304	103	14	of	of	ADP
ejpam-5304	103	15	order	order	NOUN
ejpam-5304	103	16	α	α	NOUN
ejpam-5304	103	17	here	here	ADV
ejpam-5304	103	18	we	we	PRON
ejpam-5304	103	19	propose	propose	VERB
ejpam-5304	103	20	a	a	DET
ejpam-5304	103	21	new	new	ADJ
ejpam-5304	103	22	generalized	generalized	ADJ
ejpam-5304	103	23	fuzzy	fuzzy	ADJ
ejpam-5304	103	24	entropy	entropy	NOUN
ejpam-5304	103	25	measure	measure	NOUN
ejpam-5304	103	26	of	of	ADP
ejpam-5304	103	27	mathai	mathai	PROPN
ejpam-5304	103	28	-haubold	-haubold	PROPN
ejpam-5304	103	29	entropy	entropy	NOUN
ejpam-5304	103	30	corresponding	correspond	VERB
ejpam-5304	103	31	to	to	ADP
ejpam-5304	103	32	[	[	X
ejpam-5304	103	33	11	11	NUM
ejpam-5304	103	34	]	]	PUNCT
ejpam-5304	103	35	and	and	CCONJ
ejpam-5304	103	36	checked	check	VERB
ejpam-5304	103	37	it	it	PRON
ejpam-5304	103	38	’s	’	VERB
ejpam-5304	103	39	validity	validity	NOUN
ejpam-5304	103	40	.	.	PUNCT
ejpam-5304	104	1	definition	definition	NOUN
ejpam-5304	104	2	1	1	NUM
ejpam-5304	104	3	.	.	PUNCT
ejpam-5304	105	1	let	let	VERB
ejpam-5304	105	2	b	b	X
ejpam-5304	105	3	be	be	AUX
ejpam-5304	105	4	the	the	DET
ejpam-5304	105	5	fuzzy	fuzzy	ADJ
ejpam-5304	105	6	set	set	NOUN
ejpam-5304	105	7	defined	define	VERB
ejpam-5304	105	8	on	on	ADP
ejpam-5304	105	9	x	x	X
ejpam-5304	105	10	=	=	SYM
ejpam-5304	105	11	{	{	PUNCT
ejpam-5304	105	12	x1	x1	PROPN
ejpam-5304	105	13	,	,	PUNCT
ejpam-5304	105	14	x2	x2	PROPN
ejpam-5304	105	15	,	,	PUNCT
ejpam-5304	105	16	.....	.....	PUNCT
ejpam-5304	105	17	,	,	PUNCT
ejpam-5304	105	18	xn	xn	PROPN
ejpam-5304	105	19	}	}	PUNCT
ejpam-5304	105	20	with	with	ADP
ejpam-5304	105	21	the	the	DET
ejpam-5304	105	22	membership	membership	NOUN
ejpam-5304	105	23	values	value	NOUN
ejpam-5304	105	24	ηb(xi	ηb(xi	PROPN
ejpam-5304	105	25	)	)	PUNCT
ejpam-5304	105	26	for	for	ADP
ejpam-5304	105	27	i	i	PROPN
ejpam-5304	105	28	=	=	NOUN
ejpam-5304	105	29	1	1	NUM
ejpam-5304	105	30	,	,	PUNCT
ejpam-5304	105	31	2	2	NUM
ejpam-5304	105	32	,	,	PUNCT
ejpam-5304	105	33	...	...	PUNCT
ejpam-5304	105	34	,	,	PUNCT
ejpam-5304	105	35	n	n	CCONJ
ejpam-5304	105	36	then	then	ADV
ejpam-5304	105	37	the	the	DET
ejpam-5304	105	38	generalized	generalize	VERB
ejpam-5304	105	39	fuzzy	fuzzy	ADJ
ejpam-5304	105	40	entropy	entropy	NOUN
ejpam-5304	105	41	of	of	ADP
ejpam-5304	105	42	order	order	NOUN
ejpam-5304	105	43	α	α	NOUN
ejpam-5304	105	44	is	be	AUX
ejpam-5304	105	45	defined	define	VERB
ejpam-5304	105	46	as	as	ADP
ejpam-5304	105	47	mα(b	mα(b	NOUN
ejpam-5304	105	48	)	)	PUNCT
ejpam-5304	106	1	=	=	SYM
ejpam-5304	106	2	1	1	NUM
ejpam-5304	106	3	n(2α−1	n(2α−1	NOUN
ejpam-5304	106	4	−	−	NOUN
ejpam-5304	106	5	1	1	NUM
ejpam-5304	106	6	)	)	PUNCT
ejpam-5304	106	7	n∑	n∑	NOUN
ejpam-5304	106	8	i=1	i=1	X
ejpam-5304	107	1	[	[	X
ejpam-5304	107	2	ηb(xi	ηb(xi	X
ejpam-5304	107	3	)	)	PUNCT
ejpam-5304	107	4	2−α	2−α	NUM
ejpam-5304	108	1	+	+	CCONJ
ejpam-5304	108	2	(	(	PUNCT
ejpam-5304	108	3	1−	1−	NUM
ejpam-5304	108	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	108	5	)	)	PUNCT
ejpam-5304	108	6	)	)	PUNCT
ejpam-5304	109	1	2−α	2−α	NUM
ejpam-5304	110	1	−	−	NOUN
ejpam-5304	110	2	1	1	NUM
ejpam-5304	110	3	]	]	PUNCT
ejpam-5304	110	4	,	,	PUNCT
ejpam-5304	110	5	α	α	PROPN
ejpam-5304	110	6	̸=	̸=	PROPN
ejpam-5304	110	7	1	1	NUM
ejpam-5304	110	8	,	,	PUNCT
ejpam-5304	110	9	0	0	NUM
ejpam-5304	110	10	<	<	X
ejpam-5304	110	11	α	α	X
ejpam-5304	110	12	<	<	X
ejpam-5304	110	13	2	2	NUM
ejpam-5304	110	14	(	(	PUNCT
ejpam-5304	110	15	17	17	NUM
ejpam-5304	110	16	)	)	PUNCT
ejpam-5304	110	17	theorem	theorem	NOUN
ejpam-5304	110	18	1	1	NUM
ejpam-5304	110	19	.	.	NUM
ejpam-5304	110	20	mα(b	mα(b	PUNCT
ejpam-5304	110	21	)	)	PUNCT
ejpam-5304	111	1	is	be	AUX
ejpam-5304	111	2	a	a	DET
ejpam-5304	111	3	valid	valid	ADJ
ejpam-5304	111	4	measure	measure	NOUN
ejpam-5304	111	5	of	of	ADP
ejpam-5304	111	6	fuzzy	fuzzy	ADJ
ejpam-5304	111	7	entropy	entropy	NOUN
ejpam-5304	111	8	.	.	PUNCT
ejpam-5304	112	1	proof	proof	NOUN
ejpam-5304	112	2	.	.	PUNCT
ejpam-5304	113	1	to	to	PART
ejpam-5304	113	2	show	show	VERB
ejpam-5304	113	3	mα(b	mα(b	NOUN
ejpam-5304	113	4	)	)	PUNCT
ejpam-5304	113	5	a	a	DET
ejpam-5304	113	6	valid	valid	ADJ
ejpam-5304	113	7	fuzzy	fuzzy	ADJ
ejpam-5304	113	8	entropy	entropy	NOUN
ejpam-5304	113	9	measure	measure	NOUN
ejpam-5304	113	10	.	.	PUNCT
ejpam-5304	114	1	a	a	PRON
ejpam-5304	114	2	)	)	PUNCT
ejpam-5304	114	3	to	to	PART
ejpam-5304	114	4	check	check	VERB
ejpam-5304	114	5	mα(b	mα(b	PUNCT
ejpam-5304	114	6	)	)	PUNCT
ejpam-5304	115	1	=	=	SYM
ejpam-5304	115	2	0	0	PUNCT
ejpam-5304	116	1	if	if	SCONJ
ejpam-5304	116	2	and	and	CCONJ
ejpam-5304	116	3	only	only	ADV
ejpam-5304	116	4	if	if	SCONJ
ejpam-5304	116	5	b	b	NOUN
ejpam-5304	116	6	is	be	AUX
ejpam-5304	116	7	a	a	DET
ejpam-5304	116	8	crisp	crisp	ADJ
ejpam-5304	116	9	set	set	NOUN
ejpam-5304	116	10	.	.	PUNCT
ejpam-5304	117	1	that	that	PRON
ejpam-5304	117	2	is	be	AUX
ejpam-5304	117	3	for	for	ADP
ejpam-5304	117	4	ηb(xi	ηb(xi	PROPN
ejpam-5304	117	5	)	)	PUNCT
ejpam-5304	118	1	=	=	SYM
ejpam-5304	118	2	0	0	NUM
ejpam-5304	118	3	or	or	CCONJ
ejpam-5304	118	4	ηb(xi	ηb(xi	ADJ
ejpam-5304	118	5	)	)	PUNCT
ejpam-5304	119	1	=	=	SYM
ejpam-5304	119	2	1	1	NUM
ejpam-5304	119	3	,	,	PUNCT
ejpam-5304	119	4	the	the	DET
ejpam-5304	119	5	value	value	NOUN
ejpam-5304	119	6	of	of	ADP
ejpam-5304	119	7	mα(b	mα(b	NOUN
ejpam-5304	119	8	)	)	PUNCT
ejpam-5304	119	9	is	be	AUX
ejpam-5304	119	10	zero	zero	NUM
ejpam-5304	119	11	.	.	PUNCT
ejpam-5304	120	1	if	if	SCONJ
ejpam-5304	120	2	ηb(xi	ηb(xi	PROPN
ejpam-5304	120	3	)	)	PUNCT
ejpam-5304	121	1	=	=	SYM
ejpam-5304	121	2	0	0	PUNCT
ejpam-5304	122	1	then	then	ADV
ejpam-5304	122	2	the	the	DET
ejpam-5304	122	3	equation	equation	NOUN
ejpam-5304	122	4	(	(	PUNCT
ejpam-5304	122	5	16	16	NUM
ejpam-5304	122	6	)	)	PUNCT
ejpam-5304	122	7	mα(b	mα(b	PUNCT
ejpam-5304	122	8	)	)	PUNCT
ejpam-5304	122	9	=	=	SYM
ejpam-5304	122	10	1	1	NUM
ejpam-5304	122	11	n(2α−1	n(2α−1	NOUN
ejpam-5304	122	12	−	−	NOUN
ejpam-5304	122	13	1	1	NUM
ejpam-5304	122	14	)	)	PUNCT
ejpam-5304	122	15	n∑	n∑	NOUN
ejpam-5304	122	16	i=1	i=1	X
ejpam-5304	123	1	[	[	X
ejpam-5304	123	2	ηb(xi	ηb(xi	X
ejpam-5304	123	3	)	)	PUNCT
ejpam-5304	123	4	2−α	2−α	NUM
ejpam-5304	124	1	+	+	CCONJ
ejpam-5304	124	2	(	(	PUNCT
ejpam-5304	124	3	1−	1−	NUM
ejpam-5304	124	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	124	5	)	)	PUNCT
ejpam-5304	124	6	)	)	PUNCT
ejpam-5304	125	1	2−α	2−α	NUM
ejpam-5304	126	1	−	−	NOUN
ejpam-5304	126	2	1	1	NUM
ejpam-5304	126	3	]	]	PUNCT
ejpam-5304	126	4	(	(	PUNCT
ejpam-5304	126	5	18	18	NUM
ejpam-5304	126	6	)	)	PUNCT
ejpam-5304	126	7	is	be	AUX
ejpam-5304	126	8	equal	equal	ADJ
ejpam-5304	126	9	to	to	ADP
ejpam-5304	126	10	zero	zero	NUM
ejpam-5304	126	11	.	.	PUNCT
ejpam-5304	127	1	if	if	SCONJ
ejpam-5304	127	2	ηb(xi	ηb(xi	PROPN
ejpam-5304	127	3	)	)	PUNCT
ejpam-5304	128	1	=	=	SYM
ejpam-5304	128	2	1	1	NUM
ejpam-5304	128	3	then	then	ADV
ejpam-5304	128	4	,	,	PUNCT
ejpam-5304	128	5	mα(b	mα(b	PUNCT
ejpam-5304	128	6	)	)	PUNCT
ejpam-5304	128	7	=	=	SYM
ejpam-5304	128	8	1	1	NUM
ejpam-5304	128	9	n(2α−1	n(2α−1	NOUN
ejpam-5304	128	10	−	−	NOUN
ejpam-5304	128	11	1	1	NUM
ejpam-5304	128	12	)	)	PUNCT
ejpam-5304	128	13	n∑	n∑	NOUN
ejpam-5304	128	14	i=1	i=1	X
ejpam-5304	129	1	[	[	X
ejpam-5304	129	2	ηb(xi	ηb(xi	X
ejpam-5304	129	3	)	)	PUNCT
ejpam-5304	129	4	2−α	2−α	NUM
ejpam-5304	130	1	+	+	CCONJ
ejpam-5304	130	2	(	(	PUNCT
ejpam-5304	130	3	1−	1−	NUM
ejpam-5304	130	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	130	5	)	)	PUNCT
ejpam-5304	130	6	)	)	PUNCT
ejpam-5304	131	1	2−α	2−α	NUM
ejpam-5304	132	1	−	−	NOUN
ejpam-5304	132	2	1	1	NUM
ejpam-5304	132	3	]	]	X
ejpam-5304	132	4	=	=	SYM
ejpam-5304	132	5	0	0	NUM
ejpam-5304	132	6	(	(	PUNCT
ejpam-5304	132	7	19	19	NUM
ejpam-5304	132	8	)	)	PUNCT
ejpam-5304	132	9	which	which	PRON
ejpam-5304	132	10	is	be	AUX
ejpam-5304	132	11	a	a	DET
ejpam-5304	132	12	minimum	minimum	NOUN
ejpam-5304	132	13	.	.	PUNCT
ejpam-5304	133	1	conversely	conversely	ADV
ejpam-5304	133	2	if	if	SCONJ
ejpam-5304	133	3	,	,	PUNCT
ejpam-5304	133	4	mα(b	mα(b	PUNCT
ejpam-5304	133	5	)	)	PUNCT
ejpam-5304	133	6	=	=	SYM
ejpam-5304	133	7	1	1	NUM
ejpam-5304	133	8	n(2α−1	n(2α−1	NOUN
ejpam-5304	133	9	−	−	NOUN
ejpam-5304	133	10	1	1	NUM
ejpam-5304	133	11	)	)	PUNCT
ejpam-5304	133	12	n∑	n∑	NOUN
ejpam-5304	133	13	i=1	i=1	X
ejpam-5304	134	1	[	[	X
ejpam-5304	134	2	ηb(xi	ηb(xi	X
ejpam-5304	134	3	)	)	PUNCT
ejpam-5304	134	4	2−α	2−α	NUM
ejpam-5304	135	1	+	+	CCONJ
ejpam-5304	135	2	(	(	PUNCT
ejpam-5304	135	3	1−	1−	NUM
ejpam-5304	135	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	135	5	)	)	PUNCT
ejpam-5304	135	6	)	)	PUNCT
ejpam-5304	136	1	2−α	2−α	NUM
ejpam-5304	137	1	−	−	NOUN
ejpam-5304	137	2	1	1	NUM
ejpam-5304	137	3	]	]	X
ejpam-5304	137	4	=	=	SYM
ejpam-5304	137	5	0	0	NUM
ejpam-5304	137	6	(	(	PUNCT
ejpam-5304	137	7	20	20	NUM
ejpam-5304	137	8	)	)	PUNCT
ejpam-5304	137	9	then	then	ADV
ejpam-5304	137	10	easily	easily	ADV
ejpam-5304	137	11	we	we	PRON
ejpam-5304	137	12	get	get	VERB
ejpam-5304	137	13	ηb(xi	ηb(xi	ADJ
ejpam-5304	137	14	)	)	PUNCT
ejpam-5304	138	1	=	=	SYM
ejpam-5304	138	2	0	0	NUM
ejpam-5304	138	3	or	or	CCONJ
ejpam-5304	138	4	ηb(xi	ηb(xi	ADJ
ejpam-5304	138	5	)	)	PUNCT
ejpam-5304	138	6	=	=	SYM
ejpam-5304	139	1	1	1	X
ejpam-5304	139	2	.	.	X
ejpam-5304	139	3	therefore	therefore	ADV
ejpam-5304	139	4	mα(b	mα(b	PUNCT
ejpam-5304	139	5	)	)	PUNCT
ejpam-5304	139	6	=	=	SYM
ejpam-5304	139	7	0	0	PUNCT
ejpam-5304	140	1	if	if	SCONJ
ejpam-5304	140	2	and	and	CCONJ
ejpam-5304	140	3	only	only	ADV
ejpam-5304	140	4	if	if	SCONJ
ejpam-5304	140	5	when	when	SCONJ
ejpam-5304	140	6	b	b	NOUN
ejpam-5304	140	7	is	be	AUX
ejpam-5304	140	8	a	a	DET
ejpam-5304	140	9	crisp	crisp	ADJ
ejpam-5304	140	10	set	set	NOUN
ejpam-5304	140	11	.	.	PUNCT
ejpam-5304	141	1	b	b	X
ejpam-5304	141	2	)	)	PUNCT
ejpam-5304	141	3	to	to	PART
ejpam-5304	141	4	show	show	VERB
ejpam-5304	141	5	the	the	DET
ejpam-5304	141	6	extremality	extremality	NOUN
ejpam-5304	141	7	condition	condition	NOUN
ejpam-5304	141	8	that	that	PRON
ejpam-5304	141	9	is	be	AUX
ejpam-5304	141	10	to	to	PART
ejpam-5304	141	11	show	show	VERB
ejpam-5304	141	12	mα(b	mα(b	PUNCT
ejpam-5304	141	13	)	)	PUNCT
ejpam-5304	141	14	is	be	AUX
ejpam-5304	141	15	maximum	maximum	ADJ
ejpam-5304	141	16	if	if	SCONJ
ejpam-5304	142	1	and	and	CCONJ
ejpam-5304	142	2	only	only	ADV
ejpam-5304	142	3	if	if	SCONJ
ejpam-5304	142	4	b	b	NOUN
ejpam-5304	142	5	is	be	AUX
ejpam-5304	142	6	the	the	DET
ejpam-5304	142	7	most	most	ADV
ejpam-5304	142	8	fuzzy	fuzzy	ADJ
ejpam-5304	142	9	set	set	NOUN
ejpam-5304	142	10	.	.	PUNCT
ejpam-5304	143	1	consider	consider	VERB
ejpam-5304	143	2	the	the	DET
ejpam-5304	143	3	earlier	early	ADJ
ejpam-5304	143	4	equation	equation	NOUN
ejpam-5304	143	5	(	(	PUNCT
ejpam-5304	143	6	16	16	NUM
ejpam-5304	143	7	)	)	PUNCT
ejpam-5304	143	8	,	,	PUNCT
ejpam-5304	143	9	mα(b	mα(b	X
ejpam-5304	143	10	)	)	PUNCT
ejpam-5304	143	11	=	=	SYM
ejpam-5304	144	1	1	1	NUM
ejpam-5304	144	2	n(2α−1	n(2α−1	NOUN
ejpam-5304	144	3	−	−	NOUN
ejpam-5304	144	4	1	1	NUM
ejpam-5304	144	5	)	)	PUNCT
ejpam-5304	144	6	n∑	n∑	NOUN
ejpam-5304	144	7	i=1	i=1	X
ejpam-5304	145	1	[	[	X
ejpam-5304	145	2	ηb(xi	ηb(xi	X
ejpam-5304	145	3	)	)	PUNCT
ejpam-5304	145	4	2−α	2−α	NUM
ejpam-5304	146	1	+	+	CCONJ
ejpam-5304	146	2	(	(	PUNCT
ejpam-5304	146	3	1−	1−	NUM
ejpam-5304	146	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	146	5	)	)	PUNCT
ejpam-5304	146	6	)	)	PUNCT
ejpam-5304	147	1	2−α	2−α	NUM
ejpam-5304	148	1	−	−	NOUN
ejpam-5304	148	2	1	1	NUM
ejpam-5304	148	3	]	]	PUNCT
ejpam-5304	148	4	(	(	PUNCT
ejpam-5304	148	5	21	21	NUM
ejpam-5304	148	6	)	)	PUNCT
ejpam-5304	148	7	v.	v.	ADP
ejpam-5304	148	8	m.	m.	PROPN
ejpam-5304	148	9	joshi	joshi	PROPN
ejpam-5304	148	10	,	,	PUNCT
ejpam-5304	148	11	j.	j.	PROPN
ejpam-5304	148	12	g.	g.	PROPN
ejpam-5304	148	13	dar	dar	PROPN
ejpam-5304	148	14	/	/	SYM
ejpam-5304	148	15	eur	eur	PROPN
ejpam-5304	148	16	.	.	PUNCT
ejpam-5304	149	1	j.	j.	PROPN
ejpam-5304	149	2	pure	pure	PROPN
ejpam-5304	149	3	appl	appl	PROPN
ejpam-5304	149	4	.	.	PROPN
ejpam-5304	149	5	math	math	PROPN
ejpam-5304	149	6	,	,	PUNCT
ejpam-5304	149	7	17	17	NUM
ejpam-5304	149	8	(	(	PUNCT
ejpam-5304	149	9	3	3	NUM
ejpam-5304	149	10	)	)	PUNCT
ejpam-5304	149	11	(	(	PUNCT
ejpam-5304	149	12	2024	2024	NUM
ejpam-5304	149	13	)	)	PUNCT
ejpam-5304	149	14	,	,	PUNCT
ejpam-5304	149	15	2349	2349	NUM
ejpam-5304	149	16	-	-	SYM
ejpam-5304	149	17	2360	2360	NUM
ejpam-5304	149	18	2354	2354	NUM
ejpam-5304	149	19	table	table	NOUN
ejpam-5304	149	20	1	1	NUM
ejpam-5304	149	21	:	:	PUNCT
ejpam-5304	149	22	entropy	entropy	NOUN
ejpam-5304	149	23	mα(b	mα(b	NOUN
ejpam-5304	149	24	)	)	PUNCT
ejpam-5304	149	25	at	at	ADP
ejpam-5304	149	26	different	different	ADJ
ejpam-5304	149	27	values	value	NOUN
ejpam-5304	149	28	of	of	ADP
ejpam-5304	149	29	α	α	NOUN
ejpam-5304	149	30	.	.	PUNCT
ejpam-5304	150	1	ηb(xi	ηb(xi	ADJ
ejpam-5304	150	2	)	)	PUNCT
ejpam-5304	150	3	mα(b	mα(b	NOUN
ejpam-5304	150	4	)	)	PUNCT
ejpam-5304	151	1	α	α	NOUN
ejpam-5304	151	2	=	=	SYM
ejpam-5304	151	3	0.5	0.5	NUM
ejpam-5304	151	4	α	α	NOUN
ejpam-5304	151	5	=	=	NOUN
ejpam-5304	151	6	0.7	0.7	NUM
ejpam-5304	151	7	α	α	NOUN
ejpam-5304	151	8	=	=	NOUN
ejpam-5304	151	9	1.1	1.1	NUM
ejpam-5304	151	10	α	α	NOUN
ejpam-5304	151	11	=	=	NOUN
ejpam-5304	151	12	1.5	1.5	NUM
ejpam-5304	151	13	0	0	NUM
ejpam-5304	151	14	0	0	NUM
ejpam-5304	151	15	0	0	NUM
ejpam-5304	151	16	0	0	NUM
ejpam-5304	151	17	0	0	NUM
ejpam-5304	151	18	0.1	0.1	NUM
ejpam-5304	151	19	0.3911	0.3911	NUM
ejpam-5304	151	20	0.4148	0.4148	NUM
ejpam-5304	151	21	0.4936	0.4936	NUM
ejpam-5304	151	22	0.6396	0.6396	NUM
ejpam-5304	151	23	0.2	0.2	NUM
ejpam-5304	151	24	0.6658	0.6658	NUM
ejpam-5304	151	25	0.6839	0.6839	NUM
ejpam-5304	151	26	0.7381	0.7381	NUM
ejpam-5304	151	27	0.8248	0.8248	NUM
ejpam-5304	151	28	0.3	0.3	NUM
ejpam-5304	151	29	0.8536	0.8536	NUM
ejpam-5304	151	30	0.8628	0.8628	NUM
ejpam-5304	151	31	0.8889	0.8889	NUM
ejpam-5304	151	32	0.9280	0.9280	NUM
ejpam-5304	151	33	0.4	0.4	NUM
ejpam-5304	152	1	0.9637	0.9637	NUM
ejpam-5304	152	2	0.9661	0.9661	NUM
ejpam-5304	152	3	0.9729	0.9729	NUM
ejpam-5304	152	4	0.9827	0.9827	NUM
ejpam-5304	152	5	0.5	0.5	NUM
ejpam-5304	152	6	1.0000	1.0000	NUM
ejpam-5304	152	7	1.0000	1.0000	NUM
ejpam-5304	152	8	1.0000	1.0000	NUM
ejpam-5304	152	9	1.0000	1.0000	NUM
ejpam-5304	152	10	0.6	0.6	NUM
ejpam-5304	152	11	0.9637	0.9637	NUM
ejpam-5304	152	12	0.9661	0.9661	NUM
ejpam-5304	152	13	0.9729	0.9729	NUM
ejpam-5304	152	14	0.9827	0.9827	NUM
ejpam-5304	152	15	0.7	0.7	NUM
ejpam-5304	152	16	0.8536	0.8536	NUM
ejpam-5304	152	17	0.8628	0.8628	NUM
ejpam-5304	152	18	0.8889	0.8889	NUM
ejpam-5304	152	19	0.9280	0.9280	NUM
ejpam-5304	152	20	0.8	0.8	NUM
ejpam-5304	152	21	0.6658	0.6658	NUM
ejpam-5304	152	22	0.6839	0.6839	NUM
ejpam-5304	152	23	0.7381	0.7381	NUM
ejpam-5304	152	24	0.8248	0.8248	NUM
ejpam-5304	152	25	0.9	0.9	NUM
ejpam-5304	152	26	0.3911	0.3911	NUM
ejpam-5304	152	27	0.4148	0.4148	NUM
ejpam-5304	152	28	0.4936	0.4936	NUM
ejpam-5304	152	29	0.6396	0.6396	NUM
ejpam-5304	152	30	1.0	1.0	NUM
ejpam-5304	152	31	0	0	NUM
ejpam-5304	152	32	0	0	NUM
ejpam-5304	152	33	0	0	NUM
ejpam-5304	152	34	0	0	NUM
ejpam-5304	152	35	figure	figure	NOUN
ejpam-5304	152	36	1	1	NUM
ejpam-5304	152	37	:	:	PUNCT
ejpam-5304	152	38	entropy	entropy	NOUN
ejpam-5304	152	39	at	at	ADP
ejpam-5304	152	40	different	different	ADJ
ejpam-5304	152	41	parametric	parametric	ADJ
ejpam-5304	152	42	values	value	NOUN
ejpam-5304	152	43	differentiating	differentiate	VERB
ejpam-5304	152	44	it	it	PRON
ejpam-5304	152	45	partially	partially	ADV
ejpam-5304	152	46	with	with	ADP
ejpam-5304	152	47	respect	respect	NOUN
ejpam-5304	152	48	to	to	ADP
ejpam-5304	152	49	ηb(xi	ηb(xi	PROPN
ejpam-5304	152	50	)	)	PUNCT
ejpam-5304	152	51	,	,	PUNCT
ejpam-5304	152	52	we	we	PRON
ejpam-5304	152	53	get	get	VERB
ejpam-5304	152	54	,	,	PUNCT
ejpam-5304	152	55	∂mα(b	∂mα(b	NOUN
ejpam-5304	152	56	)	)	PUNCT
ejpam-5304	152	57	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	152	58	)	)	PUNCT
ejpam-5304	153	1	=	=	PUNCT
ejpam-5304	153	2	2−	2−	NUM
ejpam-5304	153	3	α	α	PROPN
ejpam-5304	153	4	n(2α−1	n(2α−1	ADJ
ejpam-5304	153	5	−	−	PROPN
ejpam-5304	153	6	1	1	NUM
ejpam-5304	153	7	)	)	PUNCT
ejpam-5304	153	8	n∑	n∑	NOUN
ejpam-5304	153	9	i=1	i=1	X
ejpam-5304	154	1	[	[	X
ejpam-5304	154	2	ηb(xi	ηb(xi	X
ejpam-5304	154	3	)	)	PUNCT
ejpam-5304	155	1	1−α	1−α	NUM
ejpam-5304	155	2	−	−	PROPN
ejpam-5304	155	3	(	(	PUNCT
ejpam-5304	155	4	1−	1−	NUM
ejpam-5304	155	5	ηb(xi	ηb(xi	NOUN
ejpam-5304	155	6	)	)	PUNCT
ejpam-5304	155	7	)	)	PUNCT
ejpam-5304	156	1	1−α	1−α	NUM
ejpam-5304	156	2	]	]	X
ejpam-5304	156	3	(	(	PUNCT
ejpam-5304	156	4	22	22	NUM
ejpam-5304	156	5	)	)	PUNCT
ejpam-5304	156	6	case	case	NOUN
ejpam-5304	156	7	1	1	NUM
ejpam-5304	156	8	]	]	PUNCT
ejpam-5304	156	9	when	when	SCONJ
ejpam-5304	156	10	0	0	NUM
ejpam-5304	156	11	≤	≤	NUM
ejpam-5304	156	12	ηb(xi	ηb(xi	PROPN
ejpam-5304	156	13	)	)	PUNCT
ejpam-5304	156	14	≤	≤	NUM
ejpam-5304	156	15	0.5	0.5	NUM
ejpam-5304	156	16	and	and	CCONJ
ejpam-5304	156	17	α	α	NOUN
ejpam-5304	156	18	<	<	X
ejpam-5304	156	19	0	0	PROPN
ejpam-5304	156	20	,	,	PUNCT
ejpam-5304	156	21	α	α	PROPN
ejpam-5304	156	22	̸=	̸=	PROPN
ejpam-5304	156	23	1	1	NUM
ejpam-5304	156	24	,	,	PUNCT
ejpam-5304	156	25	α	α	PRON
ejpam-5304	156	26	<	<	X
ejpam-5304	156	27	2	2	NUM
ejpam-5304	156	28	then	then	ADV
ejpam-5304	156	29	∂mα(b	∂mα(b	NOUN
ejpam-5304	156	30	)	)	PUNCT
ejpam-5304	156	31	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	156	32	)	)	PUNCT
ejpam-5304	156	33	is	be	AUX
ejpam-5304	156	34	positive	positive	ADJ
ejpam-5304	156	35	.	.	PUNCT
ejpam-5304	157	1	(	(	PUNCT
ejpam-5304	157	2	refer	refer	VERB
ejpam-5304	157	3	table	table	NOUN
ejpam-5304	157	4	2	2	NUM
ejpam-5304	157	5	)	)	PUNCT
ejpam-5304	157	6	case	case	NOUN
ejpam-5304	157	7	2	2	NUM
ejpam-5304	157	8	]	]	PUNCT
ejpam-5304	157	9	when	when	SCONJ
ejpam-5304	157	10	0.5	0.5	NUM
ejpam-5304	157	11	≤	≤	NUM
ejpam-5304	157	12	ηb(xi	ηb(xi	PROPN
ejpam-5304	157	13	)	)	PUNCT
ejpam-5304	157	14	≤	≤	NUM
ejpam-5304	157	15	1	1	NUM
ejpam-5304	157	16	and	and	CCONJ
ejpam-5304	157	17	α	α	PRON
ejpam-5304	157	18	<	<	X
ejpam-5304	157	19	0	0	PROPN
ejpam-5304	157	20	,	,	PUNCT
ejpam-5304	157	21	α	α	PROPN
ejpam-5304	157	22	̸=	̸=	PROPN
ejpam-5304	157	23	1	1	NUM
ejpam-5304	157	24	,	,	PUNCT
ejpam-5304	157	25	α	α	PRON
ejpam-5304	157	26	<	<	X
ejpam-5304	157	27	2	2	NUM
ejpam-5304	157	28	then	then	ADV
ejpam-5304	157	29	∂mα(b	∂mα(b	NOUN
ejpam-5304	157	30	)	)	PUNCT
ejpam-5304	157	31	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	157	32	)	)	PUNCT
ejpam-5304	157	33	is	be	AUX
ejpam-5304	157	34	negative.(refer	negative.(refer	X
ejpam-5304	157	35	table	table	NOUN
ejpam-5304	157	36	2	2	NUM
ejpam-5304	157	37	)	)	PUNCT
ejpam-5304	157	38	case	case	NOUN
ejpam-5304	157	39	3	3	NUM
ejpam-5304	157	40	]	]	PUNCT
ejpam-5304	157	41	when	when	SCONJ
ejpam-5304	157	42	ηb(xi	ηb(xi	ADJ
ejpam-5304	157	43	)	)	PUNCT
ejpam-5304	158	1	=	=	SYM
ejpam-5304	158	2	0.5	0.5	NUM
ejpam-5304	158	3	that	that	PRON
ejpam-5304	158	4	is	be	AUX
ejpam-5304	158	5	,	,	PUNCT
ejpam-5304	158	6	if	if	SCONJ
ejpam-5304	158	7	b	b	NOUN
ejpam-5304	158	8	is	be	AUX
ejpam-5304	158	9	a	a	DET
ejpam-5304	158	10	most	most	ADV
ejpam-5304	158	11	fuzzy	fuzzy	ADJ
ejpam-5304	158	12	set	set	NOUN
ejpam-5304	158	13	then	then	ADV
ejpam-5304	158	14	∂mα(b	∂mα(b	NOUN
ejpam-5304	158	15	)	)	PUNCT
ejpam-5304	158	16	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	158	17	)	)	PUNCT
ejpam-5304	158	18	=	=	SYM
ejpam-5304	159	1	2−α	2−α	NUM
ejpam-5304	159	2	n(2α−1−1	n(2α−1−1	X
ejpam-5304	159	3	)	)	PUNCT
ejpam-5304	160	1	∑n	∑n	PROPN
ejpam-5304	160	2	i=1[(0.5	i=1[(0.5	NOUN
ejpam-5304	160	3	)	)	PUNCT
ejpam-5304	160	4	1−α	1−α	NUM
ejpam-5304	160	5	−	−	PROPN
ejpam-5304	160	6	(	(	PUNCT
ejpam-5304	160	7	1−	1−	NUM
ejpam-5304	160	8	0.5)1−α	0.5)1−α	NOUN
ejpam-5304	160	9	]	]	X
ejpam-5304	160	10	therefore	therefore	ADV
ejpam-5304	160	11	,	,	PUNCT
ejpam-5304	160	12	the	the	DET
ejpam-5304	160	13	value	value	NOUN
ejpam-5304	160	14	of	of	ADP
ejpam-5304	160	15	∂mα(b	∂mα(b	NOUN
ejpam-5304	160	16	)	)	PUNCT
ejpam-5304	160	17	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	160	18	)	)	PUNCT
ejpam-5304	160	19	becomes	become	VERB
ejpam-5304	160	20	zero	zero	NUM
ejpam-5304	160	21	.	.	PUNCT
ejpam-5304	161	1	hence	hence	ADV
ejpam-5304	161	2	mα(b	mα(b	PUNCT
ejpam-5304	161	3	)	)	PUNCT
ejpam-5304	161	4	is	be	AUX
ejpam-5304	161	5	an	an	DET
ejpam-5304	161	6	increasing	increase	VERB
ejpam-5304	161	7	function	function	NOUN
ejpam-5304	161	8	of	of	ADP
ejpam-5304	161	9	ηb(xi	ηb(xi	NOUN
ejpam-5304	161	10	)	)	PUNCT
ejpam-5304	162	1	satisfying	satisfy	VERB
ejpam-5304	162	2	0	0	NUM
ejpam-5304	162	3	≤	≤	NUM
ejpam-5304	162	4	ηb(xi	ηb(xi	PROPN
ejpam-5304	162	5	)	)	PUNCT
ejpam-5304	162	6	≤	≤	NUM
ejpam-5304	162	7	0.5	0.5	NUM
ejpam-5304	162	8	and	and	CCONJ
ejpam-5304	162	9	decreasing	decrease	VERB
ejpam-5304	162	10	function	function	NOUN
ejpam-5304	162	11	for	for	ADP
ejpam-5304	162	12	0.5	0.5	NUM
ejpam-5304	162	13	≤	≤	NUM
ejpam-5304	162	14	ηb(xi	ηb(xi	PROPN
ejpam-5304	162	15	)	)	PUNCT
ejpam-5304	162	16	≤	≤	NUM
ejpam-5304	162	17	1	1	NUM
ejpam-5304	162	18	.	.	PUNCT
ejpam-5304	163	1	also	also	ADV
ejpam-5304	163	2	at	at	ADP
ejpam-5304	163	3	v.	v.	PROPN
ejpam-5304	163	4	m.	m.	PROPN
ejpam-5304	163	5	joshi	joshi	PROPN
ejpam-5304	163	6	,	,	PUNCT
ejpam-5304	163	7	j.	j.	PROPN
ejpam-5304	163	8	g.	g.	PROPN
ejpam-5304	163	9	dar	dar	PROPN
ejpam-5304	163	10	/	/	SYM
ejpam-5304	163	11	eur	eur	PROPN
ejpam-5304	163	12	.	.	PUNCT
ejpam-5304	164	1	j.	j.	PROPN
ejpam-5304	164	2	pure	pure	PROPN
ejpam-5304	164	3	appl	appl	PROPN
ejpam-5304	164	4	.	.	PROPN
ejpam-5304	164	5	math	math	PROPN
ejpam-5304	164	6	,	,	PUNCT
ejpam-5304	164	7	17	17	NUM
ejpam-5304	164	8	(	(	PUNCT
ejpam-5304	164	9	3	3	NUM
ejpam-5304	164	10	)	)	PUNCT
ejpam-5304	164	11	(	(	PUNCT
ejpam-5304	164	12	2024	2024	NUM
ejpam-5304	164	13	)	)	PUNCT
ejpam-5304	164	14	,	,	PUNCT
ejpam-5304	164	15	2349	2349	NUM
ejpam-5304	164	16	-	-	SYM
ejpam-5304	164	17	2360	2360	NUM
ejpam-5304	164	18	2355	2355	NUM
ejpam-5304	164	19	ηb(xi	ηb(xi	NOUN
ejpam-5304	164	20	)	)	PUNCT
ejpam-5304	164	21	=	=	SYM
ejpam-5304	164	22	0.5	0.5	NUM
ejpam-5304	164	23	,	,	PUNCT
ejpam-5304	164	24	the	the	DET
ejpam-5304	164	25	fuzzy	fuzzy	ADJ
ejpam-5304	164	26	entropy	entropy	NOUN
ejpam-5304	164	27	function	function	NOUN
ejpam-5304	164	28	vanishes	vanish	VERB
ejpam-5304	164	29	.	.	PUNCT
ejpam-5304	165	1	thereforemα(b	thereforemα(b	NOUN
ejpam-5304	165	2	)	)	PUNCT
ejpam-5304	165	3	is	be	AUX
ejpam-5304	165	4	a	a	DET
ejpam-5304	165	5	concave	concave	NOUN
ejpam-5304	165	6	function	function	NOUN
ejpam-5304	165	7	and	and	CCONJ
ejpam-5304	165	8	has	have	VERB
ejpam-5304	165	9	a	a	DET
ejpam-5304	165	10	global	global	ADJ
ejpam-5304	165	11	maximum	maximum	NOUN
ejpam-5304	165	12	at	at	ADP
ejpam-5304	165	13	x	x	X
ejpam-5304	165	14	=	=	SYM
ejpam-5304	165	15	0.5	0.5	NUM
ejpam-5304	165	16	.	.	PUNCT
ejpam-5304	166	1	thus	thus	ADV
ejpam-5304	166	2	mα(b	mα(b	NOUN
ejpam-5304	166	3	)	)	PUNCT
ejpam-5304	166	4	is	be	AUX
ejpam-5304	166	5	maximum	maximum	ADJ
ejpam-5304	166	6	if	if	SCONJ
ejpam-5304	167	1	and	and	CCONJ
ejpam-5304	167	2	only	only	ADV
ejpam-5304	167	3	if	if	SCONJ
ejpam-5304	167	4	b	b	NOUN
ejpam-5304	167	5	is	be	AUX
ejpam-5304	167	6	the	the	DET
ejpam-5304	167	7	most	most	ADV
ejpam-5304	167	8	fuzzy	fuzzy	ADJ
ejpam-5304	167	9	set	set	NOUN
ejpam-5304	167	10	.	.	PUNCT
ejpam-5304	168	1	c	c	X
ejpam-5304	168	2	)	)	PUNCT
ejpam-5304	168	3	sharpness	sharpness	NOUN
ejpam-5304	168	4	:	:	PUNCT
ejpam-5304	168	5	let	let	VERB
ejpam-5304	168	6	b∗	b∗	ADJ
ejpam-5304	168	7	be	be	AUX
ejpam-5304	168	8	a	a	DET
ejpam-5304	168	9	sharpened	sharpen	VERB
ejpam-5304	168	10	version	version	NOUN
ejpam-5304	168	11	of	of	ADP
ejpam-5304	168	12	b	b	PROPN
ejpam-5304	168	13	,	,	PUNCT
ejpam-5304	168	14	i.e.	i.e.	X
ejpam-5304	168	15	(	(	PUNCT
ejpam-5304	168	16	i	i	NOUN
ejpam-5304	168	17	)	)	PUNCT
ejpam-5304	168	18	if	if	SCONJ
ejpam-5304	168	19	ηb(xi	ηb(xi	PROPN
ejpam-5304	168	20	)	)	PUNCT
ejpam-5304	168	21	<	<	X
ejpam-5304	168	22	0.5	0.5	NUM
ejpam-5304	168	23	,	,	PUNCT
ejpam-5304	168	24	then	then	ADV
ejpam-5304	168	25	η∗b(xi	η∗b(xi	PROPN
ejpam-5304	168	26	)	)	PUNCT
ejpam-5304	168	27	≤	≤	PUNCT
ejpam-5304	169	1	ηb(xi	ηb(xi	PROPN
ejpam-5304	169	2	)	)	PUNCT
ejpam-5304	169	3	(	(	PUNCT
ejpam-5304	169	4	ii	ii	NOUN
ejpam-5304	169	5	)	)	PUNCT
ejpam-5304	169	6	if	if	SCONJ
ejpam-5304	169	7	ηb(xi	ηb(xi	PROPN
ejpam-5304	169	8	)	)	PUNCT
ejpam-5304	169	9	>	>	X
ejpam-5304	169	10	0.5	0.5	NUM
ejpam-5304	169	11	,	,	PUNCT
ejpam-5304	169	12	then	then	ADV
ejpam-5304	169	13	η∗b(xi	η∗b(xi	PROPN
ejpam-5304	169	14	)	)	PUNCT
ejpam-5304	169	15	≥	≥	NOUN
ejpam-5304	169	16	ηb(xi	ηb(xi	PROPN
ejpam-5304	169	17	)	)	PUNCT
ejpam-5304	169	18	since	since	SCONJ
ejpam-5304	169	19	mα(b	mα(b	NOUN
ejpam-5304	169	20	)	)	PUNCT
ejpam-5304	169	21	is	be	AUX
ejpam-5304	169	22	increasing	increase	VERB
ejpam-5304	169	23	function	function	NOUN
ejpam-5304	169	24	in	in	ADP
ejpam-5304	169	25	the	the	DET
ejpam-5304	169	26	interval	interval	NOUN
ejpam-5304	169	27	0	0	NUM
ejpam-5304	169	28	≤	≤	NUM
ejpam-5304	170	1	ηb(xi	ηb(xi	PROPN
ejpam-5304	170	2	)	)	PUNCT
ejpam-5304	170	3	≤	≤	NUM
ejpam-5304	170	4	0.5	0.5	NUM
ejpam-5304	170	5	and	and	CCONJ
ejpam-5304	170	6	decreasing	decrease	VERB
ejpam-5304	170	7	function	function	NOUN
ejpam-5304	170	8	in	in	ADP
ejpam-5304	170	9	the	the	DET
ejpam-5304	170	10	interval	interval	NOUN
ejpam-5304	170	11	0.5	0.5	NUM
ejpam-5304	170	12	≤	≤	NUM
ejpam-5304	170	13	ηb(xi	ηb(xi	PROPN
ejpam-5304	170	14	)	)	PUNCT
ejpam-5304	170	15	≤	≤	NUM
ejpam-5304	170	16	1	1	NUM
ejpam-5304	170	17	thus	thus	ADV
ejpam-5304	170	18	η∗b(xi	η∗b(xi	PROPN
ejpam-5304	170	19	)	)	PUNCT
ejpam-5304	170	20	≤	≤	PUNCT
ejpam-5304	171	1	ηb(xi	ηb(xi	PROPN
ejpam-5304	171	2	)	)	PUNCT
ejpam-5304	172	1	=	=	SYM
ejpam-5304	172	2	⇒mα∗(b	⇒mα∗(b	X
ejpam-5304	172	3	)	)	PUNCT
ejpam-5304	172	4	≤mα(b	≤mα(b	PROPN
ejpam-5304	172	5	)	)	PUNCT
ejpam-5304	172	6	in	in	ADP
ejpam-5304	172	7	[	[	X
ejpam-5304	172	8	0	0	NUM
ejpam-5304	172	9	,	,	PUNCT
ejpam-5304	172	10	0.5	0.5	NUM
ejpam-5304	172	11	]	]	PUNCT
ejpam-5304	172	12	and	and	CCONJ
ejpam-5304	172	13	η∗b(xi	η∗b(xi	PROPN
ejpam-5304	172	14	)	)	PUNCT
ejpam-5304	172	15	≥	≥	NOUN
ejpam-5304	172	16	ηb(xi	ηb(xi	NOUN
ejpam-5304	172	17	)	)	PUNCT
ejpam-5304	173	1	=	=	SYM
ejpam-5304	173	2	⇒mα∗(b	⇒mα∗(b	X
ejpam-5304	173	3	)	)	PUNCT
ejpam-5304	173	4	≥mα(b	≥mα(b	NUM
ejpam-5304	173	5	)	)	PUNCT
ejpam-5304	173	6	in	in	ADP
ejpam-5304	173	7	[	[	X
ejpam-5304	173	8	0.5	0.5	NUM
ejpam-5304	173	9	,	,	PUNCT
ejpam-5304	173	10	1	1	NUM
ejpam-5304	173	11	]	]	PUNCT
ejpam-5304	173	12	hence	hence	ADV
ejpam-5304	173	13	mα∗(b	mα∗(b	PROPN
ejpam-5304	173	14	)	)	PUNCT
ejpam-5304	173	15	≤mα(b	≤mα(b	PROPN
ejpam-5304	173	16	)	)	PUNCT
ejpam-5304	173	17	d	d	X
ejpam-5304	173	18	)	)	PUNCT
ejpam-5304	173	19	symmetry	symmetry	NOUN
ejpam-5304	173	20	:	:	PUNCT
ejpam-5304	173	21	since	since	SCONJ
ejpam-5304	173	22	η(xi	η(xi	PROPN
ejpam-5304	173	23	)	)	PUNCT
ejpam-5304	173	24	c	c	NOUN
ejpam-5304	173	25	=	=	SYM
ejpam-5304	173	26	1−	1−	NUM
ejpam-5304	173	27	η(xi	η(xi	PROPN
ejpam-5304	173	28	)	)	PUNCT
ejpam-5304	173	29	hence	hence	ADV
ejpam-5304	173	30	it	it	PRON
ejpam-5304	173	31	is	be	AUX
ejpam-5304	173	32	trivial	trivial	ADJ
ejpam-5304	173	33	to	to	PART
ejpam-5304	173	34	show	show	VERB
ejpam-5304	173	35	that	that	SCONJ
ejpam-5304	173	36	mα(bc	mα(bc	NOUN
ejpam-5304	173	37	)	)	PUNCT
ejpam-5304	173	38	=	=	NOUN
ejpam-5304	173	39	mα(b	mα(b	X
ejpam-5304	173	40	)	)	PUNCT
ejpam-5304	173	41	.	.	PUNCT
ejpam-5304	174	1	hence	hence	ADV
ejpam-5304	174	2	all	all	DET
ejpam-5304	174	3	the	the	DET
ejpam-5304	174	4	four	four	NUM
ejpam-5304	174	5	properties	property	NOUN
ejpam-5304	174	6	of	of	ADP
ejpam-5304	174	7	fuzzy	fuzzy	ADJ
ejpam-5304	174	8	entropy	entropy	NOUN
ejpam-5304	174	9	measure	measure	NOUN
ejpam-5304	174	10	are	be	AUX
ejpam-5304	174	11	satisfied	satisfied	ADJ
ejpam-5304	174	12	by	by	ADP
ejpam-5304	174	13	mα(b	mα(b	NOUN
ejpam-5304	174	14	)	)	PUNCT
ejpam-5304	174	15	.	.	PUNCT
ejpam-5304	175	1	therefore	therefore	ADV
ejpam-5304	175	2	it	it	PRON
ejpam-5304	175	3	is	be	AUX
ejpam-5304	175	4	a	a	DET
ejpam-5304	175	5	valid	valid	ADJ
ejpam-5304	175	6	fuzzy	fuzzy	ADJ
ejpam-5304	175	7	entropy	entropy	NOUN
ejpam-5304	175	8	measure	measure	NOUN
ejpam-5304	175	9	.	.	PUNCT
ejpam-5304	176	1	table	table	NOUN
ejpam-5304	176	2	2	2	NUM
ejpam-5304	176	3	:	:	PUNCT
ejpam-5304	176	4	partial	partial	ADJ
ejpam-5304	176	5	derivative	derivative	ADJ
ejpam-5304	176	6	∂mα(b	∂mα(b	NOUN
ejpam-5304	176	7	)	)	PUNCT
ejpam-5304	176	8	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	176	9	)	)	PUNCT
ejpam-5304	176	10	.	.	PUNCT
ejpam-5304	177	1	ηb(xi	ηb(xi	ADJ
ejpam-5304	177	2	)	)	PUNCT
ejpam-5304	177	3	∂mα(b	∂mα(b	NOUN
ejpam-5304	177	4	)	)	PUNCT
ejpam-5304	177	5	∂ηb(xi	∂ηb(xi	PROPN
ejpam-5304	177	6	)	)	PUNCT
ejpam-5304	178	1	α	α	NOUN
ejpam-5304	178	2	=	=	NOUN
ejpam-5304	178	3	0.2	0.2	NUM
ejpam-5304	178	4	α	α	NOUN
ejpam-5304	178	5	=	=	SYM
ejpam-5304	178	6	0.5	0.5	NUM
ejpam-5304	178	7	α	α	NOUN
ejpam-5304	178	8	=	=	NOUN
ejpam-5304	178	9	0.7	0.7	NUM
ejpam-5304	178	10	α	α	NOUN
ejpam-5304	178	11	=	=	NOUN
ejpam-5304	178	12	0.9	0.9	NUM
ejpam-5304	178	13	α	α	NOUN
ejpam-5304	178	14	=	=	NOUN
ejpam-5304	178	15	1.1	1.1	NUM
ejpam-5304	178	16	α	α	NOUN
ejpam-5304	178	17	=	=	NUM
ejpam-5304	178	18	1.3	1.3	NUM
ejpam-5304	178	19	α	α	NOUN
ejpam-5304	178	20	=	=	NOUN
ejpam-5304	178	21	1.5	1.5	NUM
ejpam-5304	178	22	α	α	NOUN
ejpam-5304	178	23	=	=	PUNCT
ejpam-5304	178	24	1.9	1.9	NUM
ejpam-5304	178	25	0	0	NUM
ejpam-5304	178	26	4.2288	4.2288	NUM
ejpam-5304	178	27	5.1213	5.1213	NUM
ejpam-5304	178	28	6.9242	6.9242	NUM
ejpam-5304	178	29	16.4260	16.4260	NUM
ejpam-5304	178	30	∞	∞	NUM
ejpam-5304	178	31	∞	∞	NUM
ejpam-5304	178	32	∞	∞	NUM
ejpam-5304	178	33	∞	∞	NUM
ejpam-5304	178	34	0.1	0.1	NUM
ejpam-5304	178	35	3.2168	3.2168	NUM
ejpam-5304	178	36	3.2390	3.2390	NUM
ejpam-5304	178	37	3.2384	3.2384	NUM
ejpam-5304	178	38	3.2062	3.2062	NUM
ejpam-5304	178	39	3.1140	3.1140	NUM
ejpam-5304	178	40	2.9168	2.9168	NUM
ejpam-5304	178	41	0.2313	0.2313	NUM
ejpam-5304	179	1	0.7902	0.7902	NUM
ejpam-5304	179	2	0.2	0.2	NUM
ejpam-5304	179	3	2.3705	2.3705	NUM
ejpam-5304	179	4	2.2903	2.2903	NUM
ejpam-5304	179	5	2.2034	2.2034	NUM
ejpam-5304	179	6	2.0794	2.0794	NUM
ejpam-5304	179	7	1.9061	1.9061	NUM
ejpam-5304	179	8	1.6699	1.6699	NUM
ejpam-5304	179	9	0.1227	0.1227	NUM
ejpam-5304	179	10	0.3504	0.3504	NUM
ejpam-5304	179	11	0.3	0.3	NUM
ejpam-5304	179	12	1.5650	1.5650	NUM
ejpam-5304	179	13	1.4797	1.4797	NUM
ejpam-5304	179	14	1.3965	1.3965	NUM
ejpam-5304	179	15	1.2877	1.2877	NUM
ejpam-5304	179	16	1.1490	1.1490	NUM
ejpam-5304	179	17	0.9755	0.9755	NUM
ejpam-5304	179	18	0.0692	0.0692	NUM
ejpam-5304	179	19	0.1821	0.1821	NUM
ejpam-5304	179	20	0.4	0.4	NUM
ejpam-5304	179	21	0.7785	0.7785	NUM
ejpam-5304	179	22	0.7280	0.7280	NUM
ejpam-5304	179	23	0.6804	0.6804	NUM
ejpam-5304	179	24	0.6202	0.6202	NUM
ejpam-5304	179	25	0.5461	0.5461	NUM
ejpam-5304	179	26	0.4566	0.4566	NUM
ejpam-5304	179	27	0.0318	0.0318	NUM
ejpam-5304	179	28	0.0805	0.0805	NUM
ejpam-5304	179	29	0.5	0.5	NUM
ejpam-5304	179	30	0	0	NUM
ejpam-5304	179	31	0	0	NUM
ejpam-5304	179	32	0	0	NUM
ejpam-5304	179	33	0	0	NUM
ejpam-5304	179	34	0	0	NUM
ejpam-5304	179	35	0	0	NUM
ejpam-5304	179	36	0	0	NUM
ejpam-5304	179	37	0	0	NUM
ejpam-5304	179	38	0.6	0.6	NUM
ejpam-5304	179	39	−0.7785	−0.7785	X
ejpam-5304	179	40	−0.7280	−0.7280	NOUN
ejpam-5304	179	41	−0.6804	−0.6804	NOUN
ejpam-5304	179	42	−0.6202	−0.6202	NOUN
ejpam-5304	179	43	−0.5461	−0.5461	NOUN
ejpam-5304	179	44	−0.4566	−0.4566	NUM
ejpam-5304	179	45	−0.0318	−0.0318	NOUN
ejpam-5304	179	46	−0.0805	−0.0805	NUM
ejpam-5304	179	47	0.7	0.7	NUM
ejpam-5304	179	48	−1.5650	−1.5650	NOUN
ejpam-5304	179	49	−1.4797	−1.4797	NOUN
ejpam-5304	179	50	−1.3965	−1.3965	NOUN
ejpam-5304	179	51	−1.2877	−1.2877	NOUN
ejpam-5304	179	52	−1.1490	−1.1490	X
ejpam-5304	179	53	−0.9755	−0.9755	X
ejpam-5304	179	54	−0.0692	−0.0692	X
ejpam-5304	179	55	−0.1821	−0.1821	VERB
ejpam-5304	179	56	0.8	0.8	NUM
ejpam-5304	179	57	−2.3705	−2.3705	NUM
ejpam-5304	179	58	−2.2903	−2.2903	NOUN
ejpam-5304	179	59	−2.2034	−2.2034	NUM
ejpam-5304	179	60	−2.0794	−2.0794	NUM
ejpam-5304	179	61	−1.9061	−1.9061	NOUN
ejpam-5304	179	62	−1.6699	−1.6699	X
ejpam-5304	179	63	−0.1227	−0.1227	PROPN
ejpam-5304	179	64	−0.3504	−0.3504	NUM
ejpam-5304	179	65	0.9	0.9	NUM
ejpam-5304	179	66	−3.2168	−3.2168	NOUN
ejpam-5304	179	67	−3.2390	−3.2390	X
ejpam-5304	179	68	−3.2384	−3.2384	X
ejpam-5304	179	69	−3.2062	−3.2062	PRON
ejpam-5304	179	70	−3.1140	−3.1140	ADJ
ejpam-5304	179	71	−2.9168	−2.9168	NOUN
ejpam-5304	179	72	−0.2313	−0.2313	NOUN
ejpam-5304	179	73	−0.7902	−0.7902	NUM
ejpam-5304	179	74	1.0	1.0	NUM
ejpam-5304	179	75	−4.2288	−4.2288	NUM
ejpam-5304	179	76	−5.1213	−5.1213	NOUN
ejpam-5304	179	77	−6.9242	−6.9242	NOUN
ejpam-5304	179	78	−16.4260	−16.4260	PROPN
ejpam-5304	179	79	−∞	−∞	ADP
ejpam-5304	179	80	−∞	−∞	PROPN
ejpam-5304	179	81	−∞	−∞	PROPN
ejpam-5304	179	82	−∞	−∞	ADP
ejpam-5304	179	83	example	example	NOUN
ejpam-5304	179	84	1	1	X
ejpam-5304	179	85	.	.	PUNCT
ejpam-5304	180	1	let	let	VERB
ejpam-5304	180	2	a	a	DET
ejpam-5304	180	3	be	be	AUX
ejpam-5304	180	4	the	the	DET
ejpam-5304	180	5	fuzzy	fuzzy	ADJ
ejpam-5304	180	6	set	set	NOUN
ejpam-5304	180	7	defined	define	VERB
ejpam-5304	180	8	as	as	ADP
ejpam-5304	180	9	a	a	DET
ejpam-5304	180	10	=	=	X
ejpam-5304	180	11	{	{	PUNCT
ejpam-5304	180	12	(	(	PUNCT
ejpam-5304	180	13	1	1	NUM
ejpam-5304	180	14	,	,	PUNCT
ejpam-5304	180	15	0.2	0.2	NUM
ejpam-5304	180	16	)	)	PUNCT
ejpam-5304	180	17	,	,	PUNCT
ejpam-5304	180	18	(	(	PUNCT
ejpam-5304	180	19	2	2	NUM
ejpam-5304	180	20	,	,	PUNCT
ejpam-5304	180	21	0.8	0.8	NUM
ejpam-5304	180	22	)	)	PUNCT
ejpam-5304	180	23	,	,	PUNCT
ejpam-5304	180	24	(	(	PUNCT
ejpam-5304	180	25	3	3	NUM
ejpam-5304	180	26	,	,	PUNCT
ejpam-5304	180	27	0.5	0.5	NUM
ejpam-5304	180	28	)	)	PUNCT
ejpam-5304	180	29	,	,	PUNCT
ejpam-5304	180	30	(	(	PUNCT
ejpam-5304	180	31	4	4	NUM
ejpam-5304	180	32	,	,	PUNCT
ejpam-5304	180	33	0.7	0.7	NUM
ejpam-5304	180	34	)	)	PUNCT
ejpam-5304	180	35	,	,	PUNCT
ejpam-5304	180	36	(	(	PUNCT
ejpam-5304	180	37	5	5	NUM
ejpam-5304	180	38	,	,	PUNCT
ejpam-5304	180	39	0.3	0.3	NUM
ejpam-5304	180	40	)	)	PUNCT
ejpam-5304	180	41	}	}	PUNCT
ejpam-5304	180	42	and	and	CCONJ
ejpam-5304	180	43	α	α	X
ejpam-5304	180	44	=	=	ADJ
ejpam-5304	180	45	0.2	0.2	NUM
ejpam-5304	180	46	.	.	PUNCT
ejpam-5304	181	1	then	then	ADV
ejpam-5304	181	2	the	the	DET
ejpam-5304	181	3	value	value	NOUN
ejpam-5304	181	4	of	of	ADP
ejpam-5304	181	5	proposed	propose	VERB
ejpam-5304	181	6	generalized	generalized	ADJ
ejpam-5304	181	7	measure	measure	NOUN
ejpam-5304	181	8	of	of	ADP
ejpam-5304	181	9	entropy	entropy	PROPN
ejpam-5304	181	10	function	function	PROPN
ejpam-5304	181	11	mα(a	mα(a	NOUN
ejpam-5304	181	12	)	)	PUNCT
ejpam-5304	181	13	is	be	AUX
ejpam-5304	181	14	mα(a	mα(a	NOUN
ejpam-5304	181	15	)	)	PUNCT
ejpam-5304	182	1	=	=	SYM
ejpam-5304	182	2	1	1	NUM
ejpam-5304	182	3	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	182	4	)	)	PUNCT
ejpam-5304	182	5	∑n	∑n	PROPN
ejpam-5304	182	6	i=1[ηb(xi	i=1[ηb(xi	NOUN
ejpam-5304	182	7	)	)	PUNCT
ejpam-5304	182	8	2−α	2−α	PROPN
ejpam-5304	183	1	+	+	CCONJ
ejpam-5304	183	2	(	(	PUNCT
ejpam-5304	183	3	1−	1−	NUM
ejpam-5304	183	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	183	5	)	)	PUNCT
ejpam-5304	183	6	)	)	PUNCT
ejpam-5304	184	1	2−α	2−α	NUM
ejpam-5304	185	1	−	−	NOUN
ejpam-5304	185	2	1	1	NUM
ejpam-5304	185	3	]	]	PUNCT
ejpam-5304	185	4	mα(a	mα(a	NOUN
ejpam-5304	185	5	)	)	PUNCT
ejpam-5304	185	6	=	=	SYM
ejpam-5304	185	7	1	1	NUM
ejpam-5304	185	8	5∗(20.2−1−1	5∗(20.2−1−1	NUM
ejpam-5304	185	9	)	)	PUNCT
ejpam-5304	185	10	∑5	∑5	NOUN
ejpam-5304	185	11	i=1([0.2	i=1([0.2	NOUN
ejpam-5304	186	1	1.8	1.8	NUM
ejpam-5304	186	2	+	+	NOUN
ejpam-5304	186	3	0.81.8−1]+	0.81.8−1]+	ADJ
ejpam-5304	186	4	[	[	X
ejpam-5304	186	5	0.81.8	0.81.8	NUM
ejpam-5304	186	6	+	+	ADJ
ejpam-5304	186	7	0.21.8−1]+	0.21.8−1]+	ADJ
ejpam-5304	187	1	[	[	X
ejpam-5304	187	2	0.51.8	0.51.8	NUM
ejpam-5304	187	3	+	+	ADJ
ejpam-5304	187	4	0.51.8−1	0.51.8−1	NOUN
ejpam-5304	187	5	]	]	PUNCT
ejpam-5304	188	1	+	+	PUNCT
ejpam-5304	188	2	[	[	X
ejpam-5304	188	3	0.71.8	0.71.8	NUM
ejpam-5304	189	1	+	+	CCONJ
ejpam-5304	189	2	0.31.8	0.31.8	NUM
ejpam-5304	189	3	−	−	NUM
ejpam-5304	189	4	1	1	NUM
ejpam-5304	189	5	]	]	PUNCT
ejpam-5304	189	6	+	+	CCONJ
ejpam-5304	190	1	[	[	X
ejpam-5304	190	2	0.31.8	0.31.8	NUM
ejpam-5304	190	3	+	+	NUM
ejpam-5304	190	4	0.71.8	0.71.8	NUM
ejpam-5304	190	5	−	−	NUM
ejpam-5304	190	6	1	1	NUM
ejpam-5304	190	7	]	]	PUNCT
ejpam-5304	190	8	)	)	PUNCT
ejpam-5304	191	1	=	=	PUNCT
ejpam-5304	191	2	0.7966084	0.7966084	NUM
ejpam-5304	191	3	example	example	NOUN
ejpam-5304	191	4	2	2	NUM
ejpam-5304	191	5	.	.	X
ejpam-5304	191	6	consider	consider	VERB
ejpam-5304	191	7	a	a	DET
ejpam-5304	191	8	set	set	NOUN
ejpam-5304	191	9	x	x	X
ejpam-5304	191	10	=	=	SYM
ejpam-5304	191	11	{	{	PUNCT
ejpam-5304	191	12	2	2	NUM
ejpam-5304	191	13	,	,	PUNCT
ejpam-5304	191	14	4	4	NUM
ejpam-5304	191	15	,	,	PUNCT
ejpam-5304	191	16	7	7	NUM
ejpam-5304	191	17	}	}	PUNCT
ejpam-5304	191	18	and	and	CCONJ
ejpam-5304	191	19	a	a	DET
ejpam-5304	191	20	fuzzy	fuzzy	ADJ
ejpam-5304	191	21	set	set	NOUN
ejpam-5304	191	22	b	b	NOUN
ejpam-5304	191	23	on	on	ADP
ejpam-5304	191	24	x	x	PUNCT
ejpam-5304	191	25	which	which	PRON
ejpam-5304	191	26	is	be	AUX
ejpam-5304	191	27	defined	define	VERB
ejpam-5304	191	28	as	as	ADP
ejpam-5304	191	29	b	b	X
ejpam-5304	191	30	=	=	PRON
ejpam-5304	191	31	{	{	PUNCT
ejpam-5304	191	32	(	(	PUNCT
ejpam-5304	191	33	2	2	NUM
ejpam-5304	191	34	,	,	PUNCT
ejpam-5304	191	35	0.4	0.4	NUM
ejpam-5304	191	36	)	)	PUNCT
ejpam-5304	191	37	,	,	PUNCT
ejpam-5304	191	38	(	(	PUNCT
ejpam-5304	191	39	4	4	NUM
ejpam-5304	191	40	,	,	PUNCT
ejpam-5304	191	41	0.6	0.6	NUM
ejpam-5304	191	42	)	)	PUNCT
ejpam-5304	191	43	,	,	PUNCT
ejpam-5304	191	44	(	(	PUNCT
ejpam-5304	191	45	7	7	NUM
ejpam-5304	191	46	,	,	PUNCT
ejpam-5304	191	47	0.1	0.1	NUM
ejpam-5304	191	48	)	)	PUNCT
ejpam-5304	191	49	}	}	PUNCT
ejpam-5304	191	50	.	.	PUNCT
ejpam-5304	192	1	evaluate	evaluate	VERB
ejpam-5304	192	2	entropy	entropy	NOUN
ejpam-5304	192	3	function	function	PROPN
ejpam-5304	192	4	mα(a	mα(a	NOUN
ejpam-5304	192	5	)	)	PUNCT
ejpam-5304	192	6	by	by	ADP
ejpam-5304	192	7	taking	take	VERB
ejpam-5304	192	8	α	α	NOUN
ejpam-5304	192	9	=	=	SYM
ejpam-5304	192	10	0.6	0.6	NUM
ejpam-5304	192	11	.	.	PUNCT
ejpam-5304	193	1	v.	v.	ADP
ejpam-5304	193	2	m.	m.	PROPN
ejpam-5304	193	3	joshi	joshi	PROPN
ejpam-5304	193	4	,	,	PUNCT
ejpam-5304	193	5	j.	j.	PROPN
ejpam-5304	193	6	g.	g.	PROPN
ejpam-5304	193	7	dar	dar	PROPN
ejpam-5304	193	8	/	/	SYM
ejpam-5304	193	9	eur	eur	PROPN
ejpam-5304	193	10	.	.	PUNCT
ejpam-5304	194	1	j.	j.	PROPN
ejpam-5304	194	2	pure	pure	PROPN
ejpam-5304	194	3	appl	appl	PROPN
ejpam-5304	194	4	.	.	PROPN
ejpam-5304	194	5	math	math	PROPN
ejpam-5304	194	6	,	,	PUNCT
ejpam-5304	194	7	17	17	NUM
ejpam-5304	194	8	(	(	PUNCT
ejpam-5304	194	9	3	3	NUM
ejpam-5304	194	10	)	)	PUNCT
ejpam-5304	194	11	(	(	PUNCT
ejpam-5304	194	12	2024	2024	NUM
ejpam-5304	194	13	)	)	PUNCT
ejpam-5304	194	14	,	,	PUNCT
ejpam-5304	194	15	2349	2349	NUM
ejpam-5304	194	16	-	-	SYM
ejpam-5304	194	17	2360	2360	NUM
ejpam-5304	194	18	2356	2356	NUM
ejpam-5304	194	19	figure	figure	NOUN
ejpam-5304	194	20	2	2	NUM
ejpam-5304	194	21	:	:	PUNCT
ejpam-5304	194	22	partial	partial	ADJ
ejpam-5304	194	23	derivative	derivative	NOUN
ejpam-5304	194	24	at	at	ADP
ejpam-5304	194	25	different	different	ADJ
ejpam-5304	194	26	parametric	parametric	ADJ
ejpam-5304	194	27	values	value	NOUN
ejpam-5304	194	28	solution	solution	NOUN
ejpam-5304	194	29	:	:	PUNCT
ejpam-5304	194	30	mα(a	mα(a	NOUN
ejpam-5304	194	31	)	)	PUNCT
ejpam-5304	194	32	=	=	SYM
ejpam-5304	194	33	1	1	NUM
ejpam-5304	194	34	3∗(20.6−1−1	3∗(20.6−1−1	NUM
ejpam-5304	194	35	)	)	PUNCT
ejpam-5304	194	36	∑3	∑3	PROPN
ejpam-5304	194	37	i=1([0.4	i=1([0.4	VERB
ejpam-5304	194	38	1.4	1.4	NUM
ejpam-5304	194	39	+	+	NOUN
ejpam-5304	194	40	0.61.4	0.61.4	NUM
ejpam-5304	194	41	−	−	NOUN
ejpam-5304	194	42	1	1	NUM
ejpam-5304	194	43	]	]	PUNCT
ejpam-5304	194	44	+	+	CCONJ
ejpam-5304	195	1	[	[	X
ejpam-5304	195	2	0.61.4	0.61.4	X
ejpam-5304	196	1	+	+	PUNCT
ejpam-5304	196	2	0.41.4	0.41.4	NUM
ejpam-5304	197	1	−	−	NOUN
ejpam-5304	197	2	1	1	NUM
ejpam-5304	197	3	]	]	PUNCT
ejpam-5304	197	4	+	+	CCONJ
ejpam-5304	198	1	[	[	X
ejpam-5304	198	2	0.11.4	0.11.4	NUM
ejpam-5304	198	3	+	+	NUM
ejpam-5304	198	4	0.91.4	0.91.4	NUM
ejpam-5304	199	1	−	−	NUM
ejpam-5304	199	2	1	1	NUM
ejpam-5304	199	3	]	]	PUNCT
ejpam-5304	199	4	)	)	PUNCT
ejpam-5304	200	1	=	=	SYM
ejpam-5304	200	2	0.77720	0.77720	NUM
ejpam-5304	200	3	4	4	NUM
ejpam-5304	200	4	.	.	PUNCT
ejpam-5304	201	1	some	some	DET
ejpam-5304	201	2	properties	property	NOUN
ejpam-5304	201	3	of	of	ADP
ejpam-5304	201	4	mα(b	mα(b	NOUN
ejpam-5304	201	5	)	)	PUNCT
ejpam-5304	201	6	of	of	ADP
ejpam-5304	201	7	order	order	NOUN
ejpam-5304	201	8	α	α	NOUN
ejpam-5304	201	9	the	the	DET
ejpam-5304	201	10	proposed	propose	VERB
ejpam-5304	201	11	generalized	generalized	ADJ
ejpam-5304	201	12	measure	measure	NOUN
ejpam-5304	201	13	of	of	ADP
ejpam-5304	201	14	fuzzy	fuzzy	ADJ
ejpam-5304	201	15	entropy	entropy	NOUN
ejpam-5304	201	16	of	of	ADP
ejpam-5304	201	17	order	order	NOUN
ejpam-5304	201	18	α	α	NOUN
ejpam-5304	201	19	has	have	VERB
ejpam-5304	201	20	the	the	DET
ejpam-5304	201	21	following	follow	VERB
ejpam-5304	201	22	properties	property	NOUN
ejpam-5304	201	23	:	:	PUNCT
ejpam-5304	201	24	theorem	theorem	NOUN
ejpam-5304	201	25	2	2	NUM
ejpam-5304	201	26	.	.	X
ejpam-5304	201	27	for	for	ADP
ejpam-5304	201	28	any	any	DET
ejpam-5304	201	29	two	two	NUM
ejpam-5304	201	30	fuzzy	fuzzy	ADJ
ejpam-5304	201	31	sets	set	NOUN
ejpam-5304	201	32	r	r	NOUN
ejpam-5304	201	33	and	and	CCONJ
ejpam-5304	201	34	s	s	NOUN
ejpam-5304	201	35	of	of	ADP
ejpam-5304	201	36	universe	universe	NOUN
ejpam-5304	201	37	of	of	ADP
ejpam-5304	201	38	discourse	discourse	NOUN
ejpam-5304	201	39	x	x	NOUN
ejpam-5304	201	40	,	,	PUNCT
ejpam-5304	201	41	mα(r	mα(r	ADP
ejpam-5304	201	42	∪	∪	X
ejpam-5304	201	43	s	s	PART
ejpam-5304	201	44	)	)	PUNCT
ejpam-5304	201	45	+	+	ADJ
ejpam-5304	201	46	mα(r	mα(r	NOUN
ejpam-5304	201	47	∩	∩	NOUN
ejpam-5304	201	48	s	s	PART
ejpam-5304	201	49	)	)	PUNCT
ejpam-5304	201	50	=	=	NOUN
ejpam-5304	201	51	mα(r	mα(r	NOUN
ejpam-5304	201	52	)	)	PUNCT
ejpam-5304	201	53	+	+	NOUN
ejpam-5304	201	54	mα(s	mα(s	X
ejpam-5304	201	55	)	)	PUNCT
ejpam-5304	201	56	proof	proof	NOUN
ejpam-5304	201	57	.	.	PUNCT
ejpam-5304	202	1	let	let	VERB
ejpam-5304	202	2	us	we	PRON
ejpam-5304	202	3	divide	divide	VERB
ejpam-5304	202	4	the	the	DET
ejpam-5304	202	5	set	set	NOUN
ejpam-5304	202	6	x	x	PUNCT
ejpam-5304	202	7	into	into	ADP
ejpam-5304	202	8	two	two	NUM
ejpam-5304	202	9	sets	set	NOUN
ejpam-5304	202	10	as	as	ADP
ejpam-5304	202	11	:	:	PUNCT
ejpam-5304	202	12	x+={x	x+={x	PROPN
ejpam-5304	202	13	/	/	SYM
ejpam-5304	202	14	x	x	SYM
ejpam-5304	202	15	∈	∈	PROPN
ejpam-5304	202	16	x	x	NOUN
ejpam-5304	202	17	,	,	PUNCT
ejpam-5304	202	18	ηa(xi	ηa(xi	PROPN
ejpam-5304	202	19	)	)	PUNCT
ejpam-5304	202	20	≥	≥	NOUN
ejpam-5304	202	21	ηb(xi	ηb(xi	PROPN
ejpam-5304	202	22	)	)	PUNCT
ejpam-5304	202	23	}	}	PUNCT
ejpam-5304	202	24	x−={x	x−={x	PROPN
ejpam-5304	202	25	/	/	SYM
ejpam-5304	202	26	x	x	SYM
ejpam-5304	202	27	∈	∈	PROPN
ejpam-5304	202	28	x	x	NOUN
ejpam-5304	202	29	,	,	PUNCT
ejpam-5304	202	30	ηa(xi	ηa(xi	PROPN
ejpam-5304	202	31	)	)	PUNCT
ejpam-5304	202	32	<	<	X
ejpam-5304	203	1	ηb(xi	ηb(xi	PROPN
ejpam-5304	203	2	)	)	PUNCT
ejpam-5304	203	3	}	}	PUNCT
ejpam-5304	204	1	where	where	SCONJ
ejpam-5304	204	2	ηr(xi	ηr(xi	ADJ
ejpam-5304	204	3	)	)	PUNCT
ejpam-5304	204	4	and	and	CCONJ
ejpam-5304	204	5	ηs(xi	ηs(xi	PROPN
ejpam-5304	204	6	)	)	PUNCT
ejpam-5304	204	7	are	be	AUX
ejpam-5304	204	8	the	the	DET
ejpam-5304	204	9	fuzzy	fuzzy	ADJ
ejpam-5304	204	10	membership	membership	NOUN
ejpam-5304	204	11	values	value	NOUN
ejpam-5304	204	12	of	of	ADP
ejpam-5304	204	13	r	r	NOUN
ejpam-5304	204	14	and	and	CCONJ
ejpam-5304	204	15	s	s	NOUN
ejpam-5304	204	16	respectively	respectively	ADV
ejpam-5304	204	17	.	.	PUNCT
ejpam-5304	205	1	therefore	therefore	ADV
ejpam-5304	205	2	,	,	PUNCT
ejpam-5304	205	3	mα(r	mα(r	X
ejpam-5304	205	4	∪	∪	X
ejpam-5304	205	5	s	s	PART
ejpam-5304	205	6	)	)	PUNCT
ejpam-5304	205	7	=	=	SYM
ejpam-5304	205	8	1	1	NUM
ejpam-5304	205	9	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	205	10	)	)	PUNCT
ejpam-5304	205	11	∑n	∑n	PROPN
ejpam-5304	205	12	i=1[ηr∪s(xi	i=1[ηr∪s(xi	X
ejpam-5304	205	13	)	)	PUNCT
ejpam-5304	205	14	2−α	2−α	NUM
ejpam-5304	206	1	+	+	CCONJ
ejpam-5304	206	2	(	(	PUNCT
ejpam-5304	206	3	1−	1−	NUM
ejpam-5304	206	4	ηr∪s(xi	ηr∪s(xi	ADJ
ejpam-5304	206	5	)	)	PUNCT
ejpam-5304	206	6	)	)	PUNCT
ejpam-5304	206	7	2−α	2−α	NUM
ejpam-5304	207	1	−	−	NOUN
ejpam-5304	207	2	1	1	X
ejpam-5304	207	3	]	]	PUNCT
ejpam-5304	207	4	using	use	VERB
ejpam-5304	207	5	x+	x+	PUNCT
ejpam-5304	207	6	the	the	DET
ejpam-5304	207	7	value	value	NOUN
ejpam-5304	207	8	of	of	ADP
ejpam-5304	207	9	mα(r	mα(r	NOUN
ejpam-5304	207	10	∪	∪	X
ejpam-5304	207	11	s	s	NOUN
ejpam-5304	207	12	)	)	PUNCT
ejpam-5304	207	13	becomes	become	VERB
ejpam-5304	207	14	mα(r	mα(r	NOUN
ejpam-5304	207	15	∪	∪	X
ejpam-5304	207	16	s	s	NOUN
ejpam-5304	207	17	)	)	PUNCT
ejpam-5304	207	18	=	=	SYM
ejpam-5304	207	19	1	1	NUM
ejpam-5304	207	20	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	207	21	)	)	PUNCT
ejpam-5304	207	22	∑n	∑n	PROPN
ejpam-5304	207	23	i=1[ηr(xi	i=1[ηr(xi	PROPN
ejpam-5304	207	24	)	)	PUNCT
ejpam-5304	207	25	2−α	2−α	PROPN
ejpam-5304	208	1	+	+	CCONJ
ejpam-5304	208	2	(	(	PUNCT
ejpam-5304	208	3	1−	1−	NUM
ejpam-5304	208	4	ηr(xi	ηr(xi	PROPN
ejpam-5304	208	5	)	)	PUNCT
ejpam-5304	208	6	)	)	PUNCT
ejpam-5304	209	1	2−α	2−α	NUM
ejpam-5304	210	1	−	−	NOUN
ejpam-5304	210	2	1	1	NUM
ejpam-5304	210	3	]	]	PUNCT
ejpam-5304	210	4	also	also	ADV
ejpam-5304	210	5	mα(r	mα(r	NOUN
ejpam-5304	210	6	∩	∩	ADJ
ejpam-5304	210	7	s)=	s)=	NOUN
ejpam-5304	210	8	1	1	NUM
ejpam-5304	210	9	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	210	10	)	)	PUNCT
ejpam-5304	210	11	∑n	∑n	PROPN
ejpam-5304	210	12	i=1[ηr∪s(xi	i=1[ηr∪s(xi	X
ejpam-5304	210	13	)	)	PUNCT
ejpam-5304	210	14	2−α	2−α	NUM
ejpam-5304	211	1	+	+	CCONJ
ejpam-5304	211	2	(	(	PUNCT
ejpam-5304	211	3	1−	1−	NUM
ejpam-5304	211	4	ηr∪s(xi	ηr∪s(xi	ADJ
ejpam-5304	211	5	)	)	PUNCT
ejpam-5304	211	6	)	)	PUNCT
ejpam-5304	211	7	2−α	2−α	NUM
ejpam-5304	212	1	−	−	NOUN
ejpam-5304	212	2	1	1	X
ejpam-5304	212	3	]	]	PUNCT
ejpam-5304	212	4	using	use	VERB
ejpam-5304	212	5	x−	x−	PROPN
ejpam-5304	212	6	we	we	PRON
ejpam-5304	212	7	get	get	VERB
ejpam-5304	212	8	,	,	PUNCT
ejpam-5304	212	9	mα(r	mα(r	NOUN
ejpam-5304	212	10	∩	∩	ADJ
ejpam-5304	212	11	s)=	s)=	NOUN
ejpam-5304	212	12	1	1	NUM
ejpam-5304	212	13	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	212	14	)	)	PUNCT
ejpam-5304	212	15	∑n	∑n	PROPN
ejpam-5304	212	16	i=1[ηr(xi	i=1[ηr(xi	PROPN
ejpam-5304	212	17	)	)	PUNCT
ejpam-5304	212	18	2−α	2−α	PROPN
ejpam-5304	213	1	+	+	CCONJ
ejpam-5304	213	2	(	(	PUNCT
ejpam-5304	213	3	1−	1−	NUM
ejpam-5304	213	4	ηs(xi	ηs(xi	PROPN
ejpam-5304	213	5	)	)	PUNCT
ejpam-5304	213	6	)	)	PUNCT
ejpam-5304	214	1	2−α	2−α	NUM
ejpam-5304	215	1	−	−	NOUN
ejpam-5304	215	2	1	1	NUM
ejpam-5304	215	3	]	]	X
ejpam-5304	215	4	mα(r	mα(r	NOUN
ejpam-5304	215	5	∪	∪	X
ejpam-5304	215	6	s	s	PART
ejpam-5304	215	7	)	)	PUNCT
ejpam-5304	216	1	+	+	ADJ
ejpam-5304	216	2	mα(r	mα(r	NOUN
ejpam-5304	216	3	∩	∩	NOUN
ejpam-5304	216	4	s	s	PART
ejpam-5304	216	5	)	)	PUNCT
ejpam-5304	216	6	=	=	SYM
ejpam-5304	216	7	1	1	NUM
ejpam-5304	216	8	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	216	9	)	)	PUNCT
ejpam-5304	216	10	∑n	∑n	PROPN
ejpam-5304	216	11	i=1[ηr∪s(xi	i=1[ηr∪s(xi	X
ejpam-5304	216	12	)	)	PUNCT
ejpam-5304	216	13	2−α	2−α	NUM
ejpam-5304	217	1	+	+	CCONJ
ejpam-5304	217	2	(	(	PUNCT
ejpam-5304	217	3	1−	1−	NUM
ejpam-5304	217	4	ηr∪s(xi	ηr∪s(xi	ADJ
ejpam-5304	217	5	)	)	PUNCT
ejpam-5304	217	6	)	)	PUNCT
ejpam-5304	217	7	2−α	2−α	NUM
ejpam-5304	218	1	−	−	PUNCT
ejpam-5304	219	1	1]+	1]+	NUM
ejpam-5304	219	2	1	1	NUM
ejpam-5304	219	3	n(2α−1−1	n(2α−1−1	NUM
ejpam-5304	219	4	)	)	PUNCT
ejpam-5304	219	5	∑n	∑n	PROPN
ejpam-5304	219	6	i=1[ηr∩s(xi	i=1[ηr∩s(xi	NOUN
ejpam-5304	219	7	)	)	PUNCT
ejpam-5304	219	8	2−α	2−α	NUM
ejpam-5304	220	1	+	+	CCONJ
ejpam-5304	220	2	(	(	PUNCT
ejpam-5304	220	3	1−	1−	NUM
ejpam-5304	220	4	ηr∩s(xi	ηr∩s(xi	X
ejpam-5304	220	5	)	)	PUNCT
ejpam-5304	220	6	)	)	PUNCT
ejpam-5304	220	7	2−α	2−α	NUM
ejpam-5304	221	1	−	−	NOUN
ejpam-5304	221	2	1	1	X
ejpam-5304	221	3	]	]	PUNCT
ejpam-5304	221	4	v.	v.	ADP
ejpam-5304	221	5	m.	m.	PROPN
ejpam-5304	221	6	joshi	joshi	PROPN
ejpam-5304	221	7	,	,	PUNCT
ejpam-5304	221	8	j.	j.	PROPN
ejpam-5304	221	9	g.	g.	PROPN
ejpam-5304	221	10	dar	dar	PROPN
ejpam-5304	221	11	/	/	SYM
ejpam-5304	221	12	eur	eur	PROPN
ejpam-5304	221	13	.	.	PUNCT
ejpam-5304	222	1	j.	j.	PROPN
ejpam-5304	222	2	pure	pure	PROPN
ejpam-5304	222	3	appl	appl	PROPN
ejpam-5304	222	4	.	.	PROPN
ejpam-5304	222	5	math	math	PROPN
ejpam-5304	222	6	,	,	PUNCT
ejpam-5304	222	7	17	17	NUM
ejpam-5304	222	8	(	(	PUNCT
ejpam-5304	222	9	3	3	NUM
ejpam-5304	222	10	)	)	PUNCT
ejpam-5304	222	11	(	(	PUNCT
ejpam-5304	222	12	2024	2024	NUM
ejpam-5304	222	13	)	)	PUNCT
ejpam-5304	222	14	,	,	PUNCT
ejpam-5304	222	15	2349	2349	NUM
ejpam-5304	222	16	-	-	SYM
ejpam-5304	222	17	2360	2360	NUM
ejpam-5304	222	18	2357	2357	NUM
ejpam-5304	222	19	=	=	NOUN
ejpam-5304	222	20	mα(r	mα(r	NOUN
ejpam-5304	222	21	)	)	PUNCT
ejpam-5304	222	22	+	+	NOUN
ejpam-5304	222	23	mα(s	mα(s	X
ejpam-5304	222	24	)	)	PUNCT
ejpam-5304	222	25	hence	hence	ADV
ejpam-5304	222	26	the	the	DET
ejpam-5304	222	27	result	result	NOUN
ejpam-5304	222	28	is	be	AUX
ejpam-5304	222	29	proved	prove	VERB
ejpam-5304	222	30	.	.	PUNCT
ejpam-5304	223	1	corollary	corollary	ADJ
ejpam-5304	223	2	1	1	NUM
ejpam-5304	223	3	.	.	PUNCT
ejpam-5304	224	1	for	for	ADP
ejpam-5304	224	2	any	any	DET
ejpam-5304	224	3	fuzzy	fuzzy	ADJ
ejpam-5304	224	4	set	set	VERB
ejpam-5304	224	5	r	r	NOUN
ejpam-5304	224	6	in	in	ADP
ejpam-5304	224	7	a	a	DET
ejpam-5304	224	8	universe	universe	NOUN
ejpam-5304	224	9	of	of	ADP
ejpam-5304	224	10	discourse	discourse	NOUN
ejpam-5304	224	11	x	x	X
ejpam-5304	224	12	and	and	CCONJ
ejpam-5304	224	13	rc	rc	PROPN
ejpam-5304	224	14	be	be	AUX
ejpam-5304	224	15	the	the	DET
ejpam-5304	224	16	complement	complement	NOUN
ejpam-5304	224	17	of	of	ADP
ejpam-5304	224	18	fuzzy	fuzzy	ADJ
ejpam-5304	224	19	set	set	NOUN
ejpam-5304	224	20	then	then	ADV
ejpam-5304	224	21	mα(r	mα(r	NOUN
ejpam-5304	224	22	)	)	PUNCT
ejpam-5304	224	23	=	=	NOUN
ejpam-5304	224	24	mα(r	mα(r	NOUN
ejpam-5304	224	25	c	c	NOUN
ejpam-5304	224	26	)	)	PUNCT
ejpam-5304	224	27	=	=	NOUN
ejpam-5304	224	28	mα(r	mα(r	NOUN
ejpam-5304	224	29	∪rc	∪rc	NOUN
ejpam-5304	224	30	)	)	PUNCT
ejpam-5304	224	31	=	=	NOUN
ejpam-5304	224	32	mα(r	mα(r	X
ejpam-5304	224	33	∩rc	∩rc	NOUN
ejpam-5304	224	34	)	)	PUNCT
ejpam-5304	224	35	proof	proof	NOUN
ejpam-5304	224	36	.	.	PUNCT
ejpam-5304	225	1	the	the	DET
ejpam-5304	225	2	proof	proof	NOUN
ejpam-5304	225	3	is	be	AUX
ejpam-5304	225	4	trivially	trivially	ADV
ejpam-5304	225	5	follows	follow	VERB
ejpam-5304	225	6	from	from	ADP
ejpam-5304	225	7	theorem	theorem	ADJ
ejpam-5304	225	8	2	2	NUM
ejpam-5304	225	9	.	.	PUNCT
ejpam-5304	225	10	theorem	theorem	NOUN
ejpam-5304	225	11	3	3	NUM
ejpam-5304	225	12	.	.	X
ejpam-5304	226	1	for	for	ADP
ejpam-5304	226	2	a	a	DET
ejpam-5304	226	3	fuzzy	fuzzy	ADJ
ejpam-5304	226	4	set	set	VERB
ejpam-5304	226	5	r	r	NOUN
ejpam-5304	226	6	,	,	PUNCT
ejpam-5304	226	7	s	s	PART
ejpam-5304	226	8	,	,	PUNCT
ejpam-5304	226	9	t	t	PROPN
ejpam-5304	226	10	of	of	ADP
ejpam-5304	226	11	set	set	PROPN
ejpam-5304	226	12	x	x	NOUN
ejpam-5304	226	13	,	,	PUNCT
ejpam-5304	226	14	mα(b	mα(b	PUNCT
ejpam-5304	226	15	)	)	PUNCT
ejpam-5304	226	16	satisfies	satisfy	VERB
ejpam-5304	226	17	the	the	DET
ejpam-5304	226	18	following	follow	VERB
ejpam-5304	226	19	properties	property	NOUN
ejpam-5304	226	20	:	:	PUNCT
ejpam-5304	226	21	(	(	PUNCT
ejpam-5304	226	22	i	i	NOUN
ejpam-5304	226	23	)	)	PUNCT
ejpam-5304	226	24	mα((r	mα((r	NOUN
ejpam-5304	226	25	∪	∪	X
ejpam-5304	226	26	s	s	NOUN
ejpam-5304	226	27	)	)	PUNCT
ejpam-5304	226	28	∪	∪	PROPN
ejpam-5304	226	29	t	t	NOUN
ejpam-5304	226	30	)	)	PUNCT
ejpam-5304	227	1	=	=	NOUN
ejpam-5304	227	2	mα(r	mα(r	NOUN
ejpam-5304	227	3	∪	∪	X
ejpam-5304	227	4	(	(	PUNCT
ejpam-5304	227	5	s	s	NOUN
ejpam-5304	227	6	∪	∪	PROPN
ejpam-5304	227	7	t	t	PROPN
ejpam-5304	227	8	)	)	PUNCT
ejpam-5304	227	9	)	)	PUNCT
ejpam-5304	227	10	(	(	PUNCT
ejpam-5304	227	11	ii	ii	NOUN
ejpam-5304	227	12	)	)	PUNCT
ejpam-5304	227	13	mα((r	mα((r	NOUN
ejpam-5304	227	14	∩	∩	NOUN
ejpam-5304	227	15	s	s	NOUN
ejpam-5304	227	16	)	)	PUNCT
ejpam-5304	227	17	∩	∩	ADJ
ejpam-5304	227	18	t	t	NOUN
ejpam-5304	227	19	)	)	PUNCT
ejpam-5304	227	20	=	=	NOUN
ejpam-5304	227	21	mα(r	mα(r	NOUN
ejpam-5304	227	22	∩	∩	NOUN
ejpam-5304	227	23	(	(	PUNCT
ejpam-5304	227	24	s	s	NOUN
ejpam-5304	227	25	∩	∩	ADJ
ejpam-5304	227	26	t	t	NOUN
ejpam-5304	227	27	)	)	PUNCT
ejpam-5304	227	28	)	)	PUNCT
ejpam-5304	227	29	(	(	PUNCT
ejpam-5304	227	30	iii	iii	X
ejpam-5304	227	31	)	)	PUNCT
ejpam-5304	227	32	mα(r	mα(r	NOUN
ejpam-5304	227	33	∪	∪	X
ejpam-5304	227	34	s	s	PART
ejpam-5304	227	35	)	)	PUNCT
ejpam-5304	227	36	=	=	NOUN
ejpam-5304	227	37	mα(r	mα(r	NOUN
ejpam-5304	227	38	c	c	NOUN
ejpam-5304	227	39	∩	∩	ADJ
ejpam-5304	227	40	sc)c	sc)c	PROPN
ejpam-5304	227	41	(	(	PUNCT
ejpam-5304	227	42	iv	iv	NOUN
ejpam-5304	227	43	)	)	PUNCT
ejpam-5304	227	44	mα(r	mα(r	NOUN
ejpam-5304	227	45	∩	∩	NOUN
ejpam-5304	227	46	s	s	PART
ejpam-5304	227	47	)	)	PUNCT
ejpam-5304	227	48	=	=	NOUN
ejpam-5304	227	49	mα(r	mα(r	NOUN
ejpam-5304	227	50	c	c	NOUN
ejpam-5304	227	51	∪	∪	VERB
ejpam-5304	227	52	sc)c	sc)c	NOUN
ejpam-5304	227	53	proof	proof	NOUN
ejpam-5304	227	54	.	.	PUNCT
ejpam-5304	228	1	let	let	VERB
ejpam-5304	228	2	xp	xp	INTJ
ejpam-5304	229	1	=	=	PRON
ejpam-5304	229	2	{	{	PUNCT
ejpam-5304	229	3	x	x	X
ejpam-5304	229	4	/	/	SYM
ejpam-5304	229	5	x	x	SYM
ejpam-5304	229	6	∈	∈	NOUN
ejpam-5304	229	7	x	x	NOUN
ejpam-5304	229	8	,	,	PUNCT
ejpam-5304	229	9	ηr(xi	ηr(xi	ADJ
ejpam-5304	229	10	)	)	PUNCT
ejpam-5304	229	11	≥	≥	NOUN
ejpam-5304	229	12	ηs(xi	ηs(xi	PROPN
ejpam-5304	229	13	)	)	PUNCT
ejpam-5304	229	14	≥	≥	NOUN
ejpam-5304	229	15	ηt	ηt	ADP
ejpam-5304	229	16	(	(	PUNCT
ejpam-5304	229	17	xi	xi	NOUN
ejpam-5304	229	18	)	)	PUNCT
ejpam-5304	229	19	}	}	PUNCT
ejpam-5304	229	20	and	and	CCONJ
ejpam-5304	229	21	xq	xq	PROPN
ejpam-5304	229	22	=	=	PRON
ejpam-5304	229	23	{	{	PUNCT
ejpam-5304	229	24	x	x	PROPN
ejpam-5304	229	25	/	/	SYM
ejpam-5304	229	26	x	x	SYM
ejpam-5304	229	27	∈	∈	NOUN
ejpam-5304	229	28	x	x	NOUN
ejpam-5304	229	29	,	,	PUNCT
ejpam-5304	229	30	ηr(xi	ηr(xi	ADJ
ejpam-5304	229	31	)	)	PUNCT
ejpam-5304	229	32	<	<	X
ejpam-5304	229	33	ηs(xi	ηs(xi	PROPN
ejpam-5304	229	34	)	)	PUNCT
ejpam-5304	229	35	<	<	X
ejpam-5304	229	36	ηt	ηt	ADP
ejpam-5304	229	37	(	(	PUNCT
ejpam-5304	229	38	xi	xi	NOUN
ejpam-5304	229	39	)	)	PUNCT
ejpam-5304	229	40	}	}	PUNCT
ejpam-5304	229	41	(	(	PUNCT
ejpam-5304	229	42	i	i	NOUN
ejpam-5304	229	43	)	)	PUNCT
ejpam-5304	229	44	to	to	PART
ejpam-5304	229	45	show	show	VERB
ejpam-5304	229	46	mα((r	mα((r	NOUN
ejpam-5304	229	47	∪	∪	ADP
ejpam-5304	229	48	s	s	NOUN
ejpam-5304	229	49	)	)	PUNCT
ejpam-5304	229	50	∪	∪	PROPN
ejpam-5304	229	51	t	t	NOUN
ejpam-5304	229	52	)	)	PUNCT
ejpam-5304	230	1	=	=	NOUN
ejpam-5304	230	2	mα(r	mα(r	NOUN
ejpam-5304	230	3	∪	∪	X
ejpam-5304	230	4	(	(	PUNCT
ejpam-5304	230	5	s	s	NOUN
ejpam-5304	230	6	∪	∪	PROPN
ejpam-5304	230	7	t	t	PROPN
ejpam-5304	230	8	)	)	PUNCT
ejpam-5304	230	9	)	)	PUNCT
ejpam-5304	230	10	consider	consider	VERB
ejpam-5304	230	11	the	the	DET
ejpam-5304	230	12	left	left	ADJ
ejpam-5304	230	13	hand	hand	NOUN
ejpam-5304	230	14	side	side	NOUN
ejpam-5304	230	15	:	:	PUNCT
ejpam-5304	230	16	mα(r	mα(r	NOUN
ejpam-5304	230	17	∪	∪	ADJ
ejpam-5304	230	18	s)=	s)=	NOUN
ejpam-5304	230	19	1	1	NUM
ejpam-5304	230	20	n(2α−1−1	n(2α−1−1	NUM
ejpam-5304	230	21	)	)	PUNCT
ejpam-5304	230	22	∑n	∑n	PROPN
ejpam-5304	230	23	i=1[ηr∪s(xi	i=1[ηr∪s(xi	X
ejpam-5304	230	24	)	)	PUNCT
ejpam-5304	230	25	2−α	2−α	NUM
ejpam-5304	231	1	+	+	CCONJ
ejpam-5304	231	2	(	(	PUNCT
ejpam-5304	231	3	1−	1−	NUM
ejpam-5304	231	4	ηr∪s(xi	ηr∪s(xi	ADJ
ejpam-5304	231	5	)	)	PUNCT
ejpam-5304	231	6	)	)	PUNCT
ejpam-5304	231	7	2−α	2−α	NUM
ejpam-5304	232	1	−	−	NOUN
ejpam-5304	232	2	1	1	NUM
ejpam-5304	232	3	]	]	X
ejpam-5304	232	4	=	=	SYM
ejpam-5304	232	5	1	1	NUM
ejpam-5304	232	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	232	7	)	)	PUNCT
ejpam-5304	232	8	∑n	∑n	PROPN
ejpam-5304	232	9	i=1[ηr(xi	i=1[ηr(xi	PROPN
ejpam-5304	232	10	)	)	PUNCT
ejpam-5304	232	11	2−α	2−α	PROPN
ejpam-5304	233	1	+	+	CCONJ
ejpam-5304	233	2	(	(	PUNCT
ejpam-5304	233	3	1−	1−	NUM
ejpam-5304	233	4	ηr(xi	ηr(xi	PROPN
ejpam-5304	233	5	)	)	PUNCT
ejpam-5304	233	6	)	)	PUNCT
ejpam-5304	234	1	2−α	2−α	NUM
ejpam-5304	235	1	−	−	NOUN
ejpam-5304	235	2	1	1	NUM
ejpam-5304	235	3	]	]	X
ejpam-5304	235	4	mα((r	mα((r	NOUN
ejpam-5304	235	5	∪	∪	X
ejpam-5304	235	6	s	s	NOUN
ejpam-5304	235	7	)	)	PUNCT
ejpam-5304	235	8	∪	∪	PROPN
ejpam-5304	235	9	t	t	PROPN
ejpam-5304	235	10	)	)	PUNCT
ejpam-5304	235	11	=	=	SYM
ejpam-5304	235	12	1	1	NUM
ejpam-5304	235	13	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	235	14	)	)	PUNCT
ejpam-5304	236	1	∑n	∑n	PROPN
ejpam-5304	236	2	i=1[ηr∪t	i=1[ηr∪t	PRON
ejpam-5304	236	3	(	(	PUNCT
ejpam-5304	236	4	xi	xi	PROPN
ejpam-5304	236	5	)	)	PUNCT
ejpam-5304	236	6	2−α	2−α	NUM
ejpam-5304	237	1	+	+	CCONJ
ejpam-5304	237	2	(	(	PUNCT
ejpam-5304	237	3	1−	1−	NUM
ejpam-5304	237	4	ηr∪t	ηr∪t	PROPN
ejpam-5304	237	5	(	(	PUNCT
ejpam-5304	237	6	xi	xi	NOUN
ejpam-5304	237	7	)	)	PUNCT
ejpam-5304	237	8	)	)	PUNCT
ejpam-5304	238	1	2−α	2−α	NUM
ejpam-5304	239	1	−	−	NOUN
ejpam-5304	239	2	1	1	NUM
ejpam-5304	239	3	]	]	X
ejpam-5304	239	4	=	=	SYM
ejpam-5304	239	5	1	1	NUM
ejpam-5304	239	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	239	7	)	)	PUNCT
ejpam-5304	239	8	∑n	∑n	PROPN
ejpam-5304	239	9	i=1[ηr(xi	i=1[ηr(xi	PROPN
ejpam-5304	239	10	)	)	PUNCT
ejpam-5304	239	11	2−α	2−α	PROPN
ejpam-5304	240	1	+	+	CCONJ
ejpam-5304	240	2	(	(	PUNCT
ejpam-5304	240	3	1−	1−	NUM
ejpam-5304	240	4	ηr(xi	ηr(xi	PROPN
ejpam-5304	240	5	)	)	PUNCT
ejpam-5304	240	6	)	)	PUNCT
ejpam-5304	241	1	2−α	2−α	NUM
ejpam-5304	242	1	−	−	NOUN
ejpam-5304	242	2	1	1	X
ejpam-5304	242	3	]	]	PUNCT
ejpam-5304	242	4	now	now	ADV
ejpam-5304	242	5	consider	consider	VERB
ejpam-5304	242	6	the	the	DET
ejpam-5304	242	7	right	right	ADJ
ejpam-5304	242	8	hand	hand	NOUN
ejpam-5304	242	9	side	side	NOUN
ejpam-5304	242	10	:	:	PUNCT
ejpam-5304	242	11	mα(r	mα(r	NOUN
ejpam-5304	242	12	∪	∪	X
ejpam-5304	242	13	(	(	PUNCT
ejpam-5304	242	14	s	s	NOUN
ejpam-5304	242	15	∪	∪	PROPN
ejpam-5304	242	16	t	t	NOUN
ejpam-5304	242	17	)	)	PUNCT
ejpam-5304	242	18	)	)	PUNCT
ejpam-5304	243	1	=	=	SYM
ejpam-5304	243	2	1	1	NUM
ejpam-5304	243	3	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	243	4	)	)	PUNCT
ejpam-5304	243	5	∑n	∑n	PROPN
ejpam-5304	243	6	i=1[η(r∪(s∪t	i=1[η(r∪(s∪t	ADV
ejpam-5304	243	7	)	)	PUNCT
ejpam-5304	243	8	)	)	PUNCT
ejpam-5304	243	9	(	(	PUNCT
ejpam-5304	243	10	xi	xi	PROPN
ejpam-5304	243	11	)	)	PUNCT
ejpam-5304	243	12	2−α	2−α	NUM
ejpam-5304	244	1	+	+	CCONJ
ejpam-5304	244	2	(	(	PUNCT
ejpam-5304	244	3	1−	1−	NUM
ejpam-5304	244	4	η(r∪(s∪t	η(r∪(s∪t	NOUN
ejpam-5304	244	5	)	)	PUNCT
ejpam-5304	244	6	)	)	PUNCT
ejpam-5304	244	7	(	(	PUNCT
ejpam-5304	244	8	xi	xi	NOUN
ejpam-5304	244	9	)	)	PUNCT
ejpam-5304	244	10	)	)	PUNCT
ejpam-5304	245	1	2−α	2−α	NUM
ejpam-5304	246	1	−	−	NOUN
ejpam-5304	246	2	1	1	NUM
ejpam-5304	246	3	]	]	X
ejpam-5304	246	4	=	=	SYM
ejpam-5304	246	5	1	1	NUM
ejpam-5304	246	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	246	7	)	)	PUNCT
ejpam-5304	246	8	∑n	∑n	PROPN
ejpam-5304	246	9	i=1[ηr(xi	i=1[ηr(xi	PROPN
ejpam-5304	246	10	)	)	PUNCT
ejpam-5304	246	11	2−α	2−α	PROPN
ejpam-5304	247	1	+	+	CCONJ
ejpam-5304	247	2	(	(	PUNCT
ejpam-5304	247	3	1−	1−	NUM
ejpam-5304	247	4	ηr(xi	ηr(xi	PROPN
ejpam-5304	247	5	)	)	PUNCT
ejpam-5304	247	6	)	)	PUNCT
ejpam-5304	248	1	2−α	2−α	NUM
ejpam-5304	249	1	−	−	NOUN
ejpam-5304	249	2	1	1	NUM
ejpam-5304	249	3	]	]	PUNCT
ejpam-5304	249	4	hence	hence	ADV
ejpam-5304	249	5	mα((r	mα((r	X
ejpam-5304	249	6	∪	∪	X
ejpam-5304	249	7	s	s	NOUN
ejpam-5304	249	8	)	)	PUNCT
ejpam-5304	249	9	∪	∪	PROPN
ejpam-5304	249	10	t	t	NOUN
ejpam-5304	249	11	)	)	PUNCT
ejpam-5304	250	1	=	=	NOUN
ejpam-5304	250	2	mα(r	mα(r	NOUN
ejpam-5304	250	3	∪	∪	X
ejpam-5304	250	4	(	(	PUNCT
ejpam-5304	250	5	s	s	NOUN
ejpam-5304	250	6	∪	∪	PROPN
ejpam-5304	250	7	t	t	PROPN
ejpam-5304	250	8	)	)	PUNCT
ejpam-5304	250	9	)	)	PUNCT
ejpam-5304	251	1	v.	v.	ADP
ejpam-5304	251	2	m.	m.	PROPN
ejpam-5304	251	3	joshi	joshi	PROPN
ejpam-5304	251	4	,	,	PUNCT
ejpam-5304	251	5	j.	j.	PROPN
ejpam-5304	251	6	g.	g.	PROPN
ejpam-5304	251	7	dar	dar	PROPN
ejpam-5304	251	8	/	/	SYM
ejpam-5304	251	9	eur	eur	PROPN
ejpam-5304	251	10	.	.	PUNCT
ejpam-5304	252	1	j.	j.	PROPN
ejpam-5304	252	2	pure	pure	PROPN
ejpam-5304	252	3	appl	appl	PROPN
ejpam-5304	252	4	.	.	PROPN
ejpam-5304	252	5	math	math	PROPN
ejpam-5304	252	6	,	,	PUNCT
ejpam-5304	252	7	17	17	NUM
ejpam-5304	252	8	(	(	PUNCT
ejpam-5304	252	9	3	3	NUM
ejpam-5304	252	10	)	)	PUNCT
ejpam-5304	252	11	(	(	PUNCT
ejpam-5304	252	12	2024	2024	NUM
ejpam-5304	252	13	)	)	PUNCT
ejpam-5304	252	14	,	,	PUNCT
ejpam-5304	252	15	2349	2349	NUM
ejpam-5304	252	16	-	-	SYM
ejpam-5304	252	17	2360	2360	NUM
ejpam-5304	252	18	2358	2358	NUM
ejpam-5304	252	19	(	(	PUNCT
ejpam-5304	252	20	ii	ii	NOUN
ejpam-5304	252	21	)	)	PUNCT
ejpam-5304	252	22	similarly	similarly	ADV
ejpam-5304	252	23	,	,	PUNCT
ejpam-5304	252	24	associativity	associativity	NOUN
ejpam-5304	252	25	property	property	NOUN
ejpam-5304	252	26	holds	hold	NOUN
ejpam-5304	252	27	for	for	ADP
ejpam-5304	252	28	intersection	intersection	NOUN
ejpam-5304	252	29	also	also	ADV
ejpam-5304	252	30	.	.	PUNCT
ejpam-5304	253	1	(	(	PUNCT
ejpam-5304	253	2	iii	iii	X
ejpam-5304	253	3	)	)	PUNCT
ejpam-5304	253	4	to	to	PART
ejpam-5304	253	5	show	show	VERB
ejpam-5304	253	6	that	that	SCONJ
ejpam-5304	253	7	mα(r	mα(r	NOUN
ejpam-5304	253	8	∪	∪	X
ejpam-5304	253	9	s	s	PART
ejpam-5304	253	10	)	)	PUNCT
ejpam-5304	253	11	=	=	NOUN
ejpam-5304	253	12	mα(r	mα(r	NOUN
ejpam-5304	253	13	c	c	NOUN
ejpam-5304	253	14	∩	∩	ADJ
ejpam-5304	253	15	sc)c	sc)c	NOUN
ejpam-5304	253	16	consider	consider	VERB
ejpam-5304	253	17	mα(r	mα(r	NOUN
ejpam-5304	253	18	c	c	PROPN
ejpam-5304	253	19	∩	∩	X
ejpam-5304	253	20	sc	sc	PROPN
ejpam-5304	253	21	)	)	PUNCT
ejpam-5304	253	22	=	=	SYM
ejpam-5304	253	23	1	1	NUM
ejpam-5304	253	24	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	253	25	)	)	PUNCT
ejpam-5304	253	26	∑n	∑n	PROPN
ejpam-5304	253	27	i=1[ηrc∪sc(xi	i=1[ηrc∪sc(xi	NOUN
ejpam-5304	253	28	)	)	PUNCT
ejpam-5304	253	29	2−α	2−α	PROPN
ejpam-5304	254	1	+	+	CCONJ
ejpam-5304	254	2	(	(	PUNCT
ejpam-5304	254	3	1−	1−	NUM
ejpam-5304	254	4	ηrc∪sc(xi	ηrc∪sc(xi	NUM
ejpam-5304	254	5	)	)	PUNCT
ejpam-5304	254	6	)	)	PUNCT
ejpam-5304	255	1	2−α	2−α	NUM
ejpam-5304	256	1	−	−	NOUN
ejpam-5304	256	2	1	1	NUM
ejpam-5304	256	3	]	]	X
ejpam-5304	256	4	=	=	SYM
ejpam-5304	256	5	1	1	NUM
ejpam-5304	256	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	256	7	)	)	PUNCT
ejpam-5304	256	8	∑n	∑n	PROPN
ejpam-5304	256	9	i=1[ηr∩s(xi	i=1[ηr∩s(xi	NOUN
ejpam-5304	256	10	)	)	PUNCT
ejpam-5304	256	11	2−α	2−α	NUM
ejpam-5304	257	1	+	+	CCONJ
ejpam-5304	257	2	(	(	PUNCT
ejpam-5304	257	3	1−	1−	NUM
ejpam-5304	257	4	ηr∩s(xi	ηr∩s(xi	X
ejpam-5304	257	5	)	)	PUNCT
ejpam-5304	257	6	)	)	PUNCT
ejpam-5304	257	7	2−α	2−α	NUM
ejpam-5304	258	1	−	−	NOUN
ejpam-5304	258	2	1	1	NUM
ejpam-5304	258	3	]	]	PUNCT
ejpam-5304	258	4	now	now	ADV
ejpam-5304	258	5	mα(r	mα(r	X
ejpam-5304	259	1	c	c	NOUN
ejpam-5304	259	2	∩	∩	ADJ
ejpam-5304	259	3	sc)c	sc)c	NOUN
ejpam-5304	259	4	=	=	NOUN
ejpam-5304	259	5	1	1	NUM
ejpam-5304	259	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	259	7	)	)	PUNCT
ejpam-5304	259	8	∑n	∑n	PROPN
ejpam-5304	259	9	i=1[η	i=1[η	NOUN
ejpam-5304	259	10	c	c	PROPN
ejpam-5304	259	11	r∩s(xi	r∩s(xi	X
ejpam-5304	259	12	)	)	PUNCT
ejpam-5304	259	13	2−α	2−α	NUM
ejpam-5304	260	1	+	+	CCONJ
ejpam-5304	260	2	(	(	PUNCT
ejpam-5304	260	3	1−	1−	NUM
ejpam-5304	260	4	ηcr∩s(xi	ηcr∩s(xi	NOUN
ejpam-5304	260	5	)	)	PUNCT
ejpam-5304	260	6	)	)	PUNCT
ejpam-5304	261	1	2−α	2−α	NUM
ejpam-5304	262	1	−	−	NOUN
ejpam-5304	262	2	1	1	NUM
ejpam-5304	262	3	]	]	X
ejpam-5304	262	4	=	=	SYM
ejpam-5304	262	5	1	1	NUM
ejpam-5304	262	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	262	7	)	)	PUNCT
ejpam-5304	262	8	∑n	∑n	PROPN
ejpam-5304	262	9	i=1[ηr∪s(xi	i=1[ηr∪s(xi	X
ejpam-5304	262	10	)	)	PUNCT
ejpam-5304	262	11	2−α	2−α	NUM
ejpam-5304	263	1	+	+	CCONJ
ejpam-5304	263	2	(	(	PUNCT
ejpam-5304	263	3	1−	1−	NUM
ejpam-5304	263	4	ηr∪s(xi	ηr∪s(xi	ADJ
ejpam-5304	263	5	)	)	PUNCT
ejpam-5304	263	6	)	)	PUNCT
ejpam-5304	263	7	2−α	2−α	NUM
ejpam-5304	264	1	−	−	NOUN
ejpam-5304	264	2	1	1	NUM
ejpam-5304	264	3	]	]	X
ejpam-5304	264	4	=	=	NOUN
ejpam-5304	264	5	mα(r	mα(r	NOUN
ejpam-5304	264	6	∪	∪	X
ejpam-5304	264	7	s	s	NOUN
ejpam-5304	264	8	)	)	PUNCT
ejpam-5304	264	9	hence	hence	ADV
ejpam-5304	264	10	proved	prove	VERB
ejpam-5304	264	11	.	.	PUNCT
ejpam-5304	265	1	exactly	exactly	ADV
ejpam-5304	265	2	in	in	ADP
ejpam-5304	265	3	the	the	DET
ejpam-5304	265	4	similar	similar	ADJ
ejpam-5304	265	5	way	way	NOUN
ejpam-5304	265	6	property	property	NOUN
ejpam-5304	265	7	(	(	PUNCT
ejpam-5304	265	8	iv	iv	X
ejpam-5304	265	9	)	)	PUNCT
ejpam-5304	265	10	can	can	AUX
ejpam-5304	265	11	be	be	AUX
ejpam-5304	265	12	proved	prove	VERB
ejpam-5304	265	13	.	.	PUNCT
ejpam-5304	266	1	theorem	theorem	ADJ
ejpam-5304	266	2	4	4	NUM
ejpam-5304	266	3	.	.	NUM
ejpam-5304	266	4	mα(b	mα(b	NOUN
ejpam-5304	266	5	)	)	PUNCT
ejpam-5304	266	6	attains	attain	VERB
ejpam-5304	266	7	the	the	DET
ejpam-5304	266	8	maximum	maximum	NOUN
ejpam-5304	266	9	when	when	SCONJ
ejpam-5304	266	10	b	b	NOUN
ejpam-5304	266	11	is	be	AUX
ejpam-5304	266	12	most	most	ADV
ejpam-5304	266	13	fuzzy	fuzzy	ADJ
ejpam-5304	266	14	set	set	VERB
ejpam-5304	266	15	and	and	CCONJ
ejpam-5304	266	16	attains	attain	VERB
ejpam-5304	266	17	minimum	minimum	ADJ
ejpam-5304	266	18	when	when	SCONJ
ejpam-5304	266	19	b	b	NOUN
ejpam-5304	266	20	is	be	AUX
ejpam-5304	266	21	least	least	ADV
ejpam-5304	266	22	fuzzy	fuzzy	ADJ
ejpam-5304	266	23	set	set	VERB
ejpam-5304	266	24	and	and	CCONJ
ejpam-5304	266	25	it	it	PRON
ejpam-5304	266	26	is	be	AUX
ejpam-5304	266	27	independent	independent	ADJ
ejpam-5304	266	28	of	of	ADP
ejpam-5304	266	29	order	order	NOUN
ejpam-5304	266	30	α	α	NOUN
ejpam-5304	266	31	.	.	PUNCT
ejpam-5304	267	1	proof	proof	NOUN
ejpam-5304	267	2	.	.	PUNCT
ejpam-5304	268	1	in	in	ADP
ejpam-5304	268	2	theorem	theorem	NOUN
ejpam-5304	268	3	no	no	DET
ejpam-5304	268	4	1	1	NUM
ejpam-5304	268	5	,	,	PUNCT
ejpam-5304	268	6	it	it	PRON
ejpam-5304	268	7	was	be	AUX
ejpam-5304	268	8	already	already	ADV
ejpam-5304	268	9	proved	prove	VERB
ejpam-5304	268	10	that	that	SCONJ
ejpam-5304	268	11	mα(b	mα(b	PUNCT
ejpam-5304	268	12	)	)	PUNCT
ejpam-5304	268	13	is	be	AUX
ejpam-5304	268	14	maximum	maximum	ADJ
ejpam-5304	268	15	if	if	SCONJ
ejpam-5304	268	16	and	and	CCONJ
ejpam-5304	268	17	only	only	ADV
ejpam-5304	268	18	if	if	SCONJ
ejpam-5304	268	19	ηb(xi	ηb(xi	ADJ
ejpam-5304	268	20	)	)	PUNCT
ejpam-5304	268	21	=	=	SYM
ejpam-5304	268	22	0.5	0.5	NUM
ejpam-5304	268	23	that	that	PRON
ejpam-5304	268	24	means	mean	VERB
ejpam-5304	268	25	b	b	NOUN
ejpam-5304	268	26	is	be	AUX
ejpam-5304	268	27	most	most	ADV
ejpam-5304	268	28	fuzzy	fuzzy	ADJ
ejpam-5304	268	29	set	set	NOUN
ejpam-5304	268	30	and	and	CCONJ
ejpam-5304	268	31	minimum	minimum	NOUN
ejpam-5304	268	32	when	when	SCONJ
ejpam-5304	268	33	b	b	NOUN
ejpam-5304	268	34	is	be	AUX
ejpam-5304	268	35	a	a	DET
ejpam-5304	268	36	crisp	crisp	ADJ
ejpam-5304	268	37	set	set	NOUN
ejpam-5304	268	38	.	.	PUNCT
ejpam-5304	269	1	now	now	ADV
ejpam-5304	269	2	to	to	PART
ejpam-5304	269	3	prove	prove	VERB
ejpam-5304	269	4	that	that	SCONJ
ejpam-5304	269	5	both	both	CCONJ
ejpam-5304	269	6	these	these	DET
ejpam-5304	269	7	results	result	NOUN
ejpam-5304	269	8	are	be	AUX
ejpam-5304	269	9	independent	independent	ADJ
ejpam-5304	269	10	of	of	ADP
ejpam-5304	269	11	α	α	PRON
ejpam-5304	269	12	.	.	PUNCT
ejpam-5304	270	1	let	let	VERB
ejpam-5304	270	2	b	b	NOUN
ejpam-5304	270	3	is	be	AUX
ejpam-5304	270	4	most	most	ADV
ejpam-5304	270	5	fuzzy	fuzzy	ADJ
ejpam-5304	270	6	set	set	VERB
ejpam-5304	270	7	therefore	therefore	ADV
ejpam-5304	270	8	put	put	VERB
ejpam-5304	270	9	µb(xi	µb(xi	PROPN
ejpam-5304	270	10	)	)	PUNCT
ejpam-5304	271	1	=	=	PUNCT
ejpam-5304	271	2	0.5	0.5	NUM
ejpam-5304	271	3	in	in	ADP
ejpam-5304	271	4	the	the	DET
ejpam-5304	271	5	following	follow	VERB
ejpam-5304	271	6	equation	equation	NOUN
ejpam-5304	271	7	.	.	PUNCT
ejpam-5304	272	1	mα(b	mα(b	X
ejpam-5304	272	2	)	)	PUNCT
ejpam-5304	273	1	=	=	SYM
ejpam-5304	273	2	1	1	NUM
ejpam-5304	273	3	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	273	4	)	)	PUNCT
ejpam-5304	273	5	∑n	∑n	PROPN
ejpam-5304	273	6	i=1[ηb(xi	i=1[ηb(xi	NOUN
ejpam-5304	273	7	)	)	PUNCT
ejpam-5304	273	8	2−α	2−α	PROPN
ejpam-5304	274	1	+	+	CCONJ
ejpam-5304	274	2	(	(	PUNCT
ejpam-5304	274	3	1−	1−	NUM
ejpam-5304	274	4	ηb(xi	ηb(xi	NOUN
ejpam-5304	274	5	)	)	PUNCT
ejpam-5304	274	6	)	)	PUNCT
ejpam-5304	275	1	2−α	2−α	NUM
ejpam-5304	276	1	−	−	NOUN
ejpam-5304	276	2	1	1	NUM
ejpam-5304	276	3	]	]	X
ejpam-5304	276	4	=	=	SYM
ejpam-5304	276	5	1	1	NUM
ejpam-5304	276	6	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	276	7	)	)	PUNCT
ejpam-5304	276	8	∑n	∑n	PROPN
ejpam-5304	276	9	i=1[0.5	i=1[0.5	VERB
ejpam-5304	276	10	2−α	2−α	PROPN
ejpam-5304	277	1	+	+	CCONJ
ejpam-5304	277	2	(	(	PUNCT
ejpam-5304	277	3	1−	1−	NUM
ejpam-5304	277	4	0.5)2−α	0.5)2−α	NUM
ejpam-5304	277	5	−	−	PROPN
ejpam-5304	278	1	1	1	NUM
ejpam-5304	278	2	]	]	X
ejpam-5304	278	3	=	=	SYM
ejpam-5304	278	4	1	1	NUM
ejpam-5304	278	5	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	278	6	)	)	PUNCT
ejpam-5304	278	7	∑n	∑n	PROPN
ejpam-5304	278	8	i=1[0.5	i=1[0.5	VERB
ejpam-5304	278	9	2−α	2−α	PROPN
ejpam-5304	279	1	+	+	CCONJ
ejpam-5304	279	2	(	(	PUNCT
ejpam-5304	279	3	0.5)2−α	0.5)2−α	ADJ
ejpam-5304	279	4	−	−	PROPN
ejpam-5304	279	5	1	1	NUM
ejpam-5304	279	6	]	]	X
ejpam-5304	279	7	=	=	SYM
ejpam-5304	279	8	1	1	NUM
ejpam-5304	279	9	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	279	10	)	)	PUNCT
ejpam-5304	279	11	∑n	∑n	PROPN
ejpam-5304	279	12	i=1[2	i=1[2	NOUN
ejpam-5304	279	13	1	1	NUM
ejpam-5304	279	14	2	2	NUM
ejpam-5304	279	15	2−α	2−α	NUM
ejpam-5304	279	16	−	−	ADP
ejpam-5304	279	17	1	1	NUM
ejpam-5304	279	18	]	]	X
ejpam-5304	279	19	=	=	SYM
ejpam-5304	279	20	1	1	NUM
ejpam-5304	279	21	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	279	22	)	)	PUNCT
ejpam-5304	280	1	∑n	∑n	PROPN
ejpam-5304	280	2	i=1[2	i=1[2	NOUN
ejpam-5304	280	3	α−1	α−1	NOUN
ejpam-5304	280	4	−	−	NOUN
ejpam-5304	280	5	1	1	NUM
ejpam-5304	280	6	]	]	PUNCT
ejpam-5304	280	7	=	=	PUNCT
ejpam-5304	281	1	[	[	X
ejpam-5304	281	2	2α−1−1	2α−1−1	NUM
ejpam-5304	281	3	]	]	PUNCT
ejpam-5304	281	4	n(2α−1−1	n(2α−1−1	ADV
ejpam-5304	281	5	)	)	PUNCT
ejpam-5304	281	6	∑n	∑n	PROPN
ejpam-5304	281	7	i=1[1	i=1[1	X
ejpam-5304	281	8	]	]	X
ejpam-5304	281	9	=	=	SYM
ejpam-5304	281	10	1	1	X
ejpam-5304	281	11	.	.	NOUN
ejpam-5304	281	12	which	which	PRON
ejpam-5304	281	13	is	be	AUX
ejpam-5304	281	14	independent	independent	ADJ
ejpam-5304	281	15	of	of	ADP
ejpam-5304	281	16	α	α	NOUN
ejpam-5304	281	17	.	.	PUNCT
ejpam-5304	282	1	on	on	ADP
ejpam-5304	282	2	the	the	DET
ejpam-5304	282	3	other	other	ADJ
ejpam-5304	282	4	hand	hand	NOUN
ejpam-5304	282	5	when	when	SCONJ
ejpam-5304	282	6	b	b	NOUN
ejpam-5304	282	7	is	be	AUX
ejpam-5304	282	8	least	least	ADV
ejpam-5304	282	9	fuzzy	fuzzy	ADJ
ejpam-5304	282	10	set.that	set.that	PRON
ejpam-5304	282	11	is	be	AUX
ejpam-5304	282	12	b	b	NOUN
ejpam-5304	282	13	is	be	AUX
ejpam-5304	282	14	a	a	DET
ejpam-5304	282	15	crisp	crisp	ADJ
ejpam-5304	282	16	set	set	NOUN
ejpam-5304	282	17	then	then	ADV
ejpam-5304	282	18	ηb(xi	ηb(xi	ADJ
ejpam-5304	282	19	)	)	PUNCT
ejpam-5304	283	1	=	=	SYM
ejpam-5304	283	2	0	0	NUM
ejpam-5304	283	3	or	or	CCONJ
ejpam-5304	283	4	ηb(xi	ηb(xi	ADJ
ejpam-5304	283	5	)	)	PUNCT
ejpam-5304	284	1	=	=	SYM
ejpam-5304	284	2	1	1	NUM
ejpam-5304	284	3	then	then	ADV
ejpam-5304	284	4	mα(b	mα(b	PUNCT
ejpam-5304	284	5	)	)	PUNCT
ejpam-5304	285	1	=	=	SYM
ejpam-5304	285	2	0	0	NUM
ejpam-5304	285	3	which	which	PRON
ejpam-5304	285	4	is	be	AUX
ejpam-5304	285	5	again	again	ADV
ejpam-5304	285	6	independent	independent	ADJ
ejpam-5304	285	7	of	of	ADP
ejpam-5304	285	8	α	α	NOUN
ejpam-5304	285	9	.	.	PUNCT
ejpam-5304	286	1	hence	hence	ADV
ejpam-5304	286	2	the	the	DET
ejpam-5304	286	3	theorem	theorem	NOUN
ejpam-5304	286	4	is	be	AUX
ejpam-5304	286	5	proved	prove	VERB
ejpam-5304	286	6	.	.	PUNCT
ejpam-5304	287	1	references	reference	NOUN
ejpam-5304	287	2	2359	2359	NUM
ejpam-5304	287	3	5	5	NUM
ejpam-5304	287	4	.	.	PUNCT
ejpam-5304	287	5	conclusion	conclusion	NOUN
ejpam-5304	287	6	in	in	ADP
ejpam-5304	287	7	this	this	DET
ejpam-5304	287	8	paper	paper	NOUN
ejpam-5304	287	9	,	,	PUNCT
ejpam-5304	287	10	we	we	PRON
ejpam-5304	287	11	have	have	AUX
ejpam-5304	287	12	reviewed	review	VERB
ejpam-5304	287	13	the	the	DET
ejpam-5304	287	14	concept	concept	NOUN
ejpam-5304	287	15	of	of	ADP
ejpam-5304	287	16	entropy	entropy	NOUN
ejpam-5304	287	17	in	in	ADP
ejpam-5304	287	18	information	information	NOUN
ejpam-5304	287	19	theory	theory	NOUN
ejpam-5304	287	20	for	for	ADP
ejpam-5304	287	21	discrete	discrete	ADJ
ejpam-5304	287	22	random	random	ADJ
ejpam-5304	287	23	variable	variable	NOUN
ejpam-5304	287	24	and	and	CCONJ
ejpam-5304	287	25	studied	study	VERB
ejpam-5304	287	26	several	several	ADJ
ejpam-5304	287	27	generalizations	generalization	NOUN
ejpam-5304	287	28	of	of	ADP
ejpam-5304	287	29	shannon	shannon	PROPN
ejpam-5304	287	30	entropy	entropy	PROPN
ejpam-5304	287	31	.	.	PUNCT
ejpam-5304	288	1	a	a	DET
ejpam-5304	288	2	brief	brief	ADJ
ejpam-5304	288	3	introduction	introduction	NOUN
ejpam-5304	288	4	about	about	ADP
ejpam-5304	288	5	fuzzy	fuzzy	ADJ
ejpam-5304	288	6	sets	set	NOUN
ejpam-5304	288	7	and	and	CCONJ
ejpam-5304	288	8	a	a	DET
ejpam-5304	288	9	journey	journey	NOUN
ejpam-5304	288	10	from	from	ADP
ejpam-5304	288	11	entropy	entropy	NOUN
ejpam-5304	288	12	to	to	ADP
ejpam-5304	288	13	fuzzy	fuzzy	ADJ
ejpam-5304	288	14	entropy	entropy	NOUN
ejpam-5304	288	15	is	be	AUX
ejpam-5304	288	16	discussed	discuss	VERB
ejpam-5304	288	17	.	.	PUNCT
ejpam-5304	289	1	numerical	numerical	ADJ
ejpam-5304	289	2	examples	example	NOUN
ejpam-5304	289	3	are	be	AUX
ejpam-5304	289	4	provided	provide	VERB
ejpam-5304	289	5	for	for	ADP
ejpam-5304	289	6	understanding	understand	VERB
ejpam-5304	289	7	the	the	DET
ejpam-5304	289	8	concept	concept	NOUN
ejpam-5304	289	9	of	of	ADP
ejpam-5304	289	10	proposed	propose	VERB
ejpam-5304	289	11	fuzzy	fuzzy	ADJ
ejpam-5304	289	12	entropy	entropy	NOUN
ejpam-5304	289	13	measure	measure	NOUN
ejpam-5304	289	14	.	.	PUNCT
ejpam-5304	290	1	we	we	PRON
ejpam-5304	290	2	have	have	AUX
ejpam-5304	290	3	proposed	propose	VERB
ejpam-5304	290	4	a	a	DET
ejpam-5304	290	5	new	new	ADJ
ejpam-5304	290	6	parametric	parametric	ADJ
ejpam-5304	290	7	generalized	generalize	VERB
ejpam-5304	290	8	fuzzy	fuzzy	ADJ
ejpam-5304	290	9	entropy	entropy	NOUN
ejpam-5304	290	10	measure	measure	NOUN
ejpam-5304	290	11	of	of	ADP
ejpam-5304	290	12	mathai	mathai	PROPN
ejpam-5304	290	13	-	-	PUNCT
ejpam-5304	290	14	haubold	haubold	PROPN
ejpam-5304	290	15	entropy	entropy	NOUN
ejpam-5304	290	16	and	and	CCONJ
ejpam-5304	290	17	given	give	VERB
ejpam-5304	290	18	the	the	DET
ejpam-5304	290	19	proof	proof	NOUN
ejpam-5304	290	20	of	of	ADP
ejpam-5304	290	21	validation	validation	NOUN
ejpam-5304	290	22	.	.	PUNCT
ejpam-5304	291	1	the	the	DET
ejpam-5304	291	2	particular	particular	ADJ
ejpam-5304	291	3	cases	case	NOUN
ejpam-5304	291	4	have	have	AUX
ejpam-5304	291	5	been	be	AUX
ejpam-5304	291	6	discussed	discuss	VERB
ejpam-5304	291	7	in	in	ADP
ejpam-5304	291	8	detail	detail	NOUN
ejpam-5304	291	9	along	along	ADP
ejpam-5304	291	10	with	with	ADP
ejpam-5304	291	11	some	some	PRON
ejpam-5304	291	12	of	of	ADP
ejpam-5304	291	13	the	the	DET
ejpam-5304	291	14	properties	property	NOUN
ejpam-5304	291	15	of	of	ADP
ejpam-5304	291	16	this	this	DET
ejpam-5304	291	17	fuzzy	fuzzy	ADJ
ejpam-5304	291	18	entropy	entropy	NOUN
ejpam-5304	291	19	measure	measure	NOUN
ejpam-5304	291	20	.	.	PUNCT
ejpam-5304	292	1	for	for	ADP
ejpam-5304	292	2	the	the	DET
ejpam-5304	292	3	future	future	ADJ
ejpam-5304	292	4	study	study	NOUN
ejpam-5304	292	5	,	,	PUNCT
ejpam-5304	292	6	we	we	PRON
ejpam-5304	292	7	will	will	AUX
ejpam-5304	292	8	propose	propose	VERB
ejpam-5304	292	9	a	a	DET
ejpam-5304	292	10	new	new	ADJ
ejpam-5304	292	11	parametric	parametric	ADJ
ejpam-5304	292	12	generalizations	generalization	NOUN
ejpam-5304	292	13	of	of	ADP
ejpam-5304	292	14	parametric	parametric	ADJ
ejpam-5304	292	15	fuzzy	fuzzy	ADJ
ejpam-5304	292	16	entropy	entropy	NOUN
ejpam-5304	292	17	,	,	PUNCT
ejpam-5304	292	18	a	a	DET
ejpam-5304	292	19	new	new	ADJ
ejpam-5304	292	20	divergence	divergence	NOUN
ejpam-5304	292	21	measures	measure	NOUN
ejpam-5304	292	22	,	,	PUNCT
ejpam-5304	292	23	total	total	ADJ
ejpam-5304	292	24	ambiguity	ambiguity	NOUN
ejpam-5304	292	25	and	and	CCONJ
ejpam-5304	292	26	fuzzy	fuzzy	ADJ
ejpam-5304	292	27	improvement	improvement	NOUN
ejpam-5304	292	28	information	information	NOUN
ejpam-5304	292	29	measures	measure	NOUN
ejpam-5304	292	30	.	.	PUNCT
ejpam-5304	293	1	references	reference	NOUN
ejpam-5304	293	2	[	[	X
ejpam-5304	293	3	1	1	NUM
ejpam-5304	293	4	]	]	PUNCT
ejpam-5304	293	5	r.	r.	PROPN
ejpam-5304	293	6	bajaj	bajaj	PROPN
ejpam-5304	293	7	and	and	CCONJ
ejpam-5304	293	8	d.	d.	PROPN
ejpam-5304	293	9	hooda	hooda	PROPN
ejpam-5304	293	10	.	.	PUNCT
ejpam-5304	294	1	on	on	ADP
ejpam-5304	294	2	some	some	DET
ejpam-5304	294	3	generalized	generalized	ADJ
ejpam-5304	294	4	measures	measure	NOUN
ejpam-5304	294	5	of	of	ADP
ejpam-5304	294	6	fuzzy	fuzzy	ADJ
ejpam-5304	294	7	information	information	NOUN
ejpam-5304	294	8	.	.	PUNCT
ejpam-5304	295	1	world	world	PROPN
ejpam-5304	295	2	academy	academy	PROPN
ejpam-5304	295	3	of	of	ADP
ejpam-5304	295	4	science	science	PROPN
ejpam-5304	295	5	,	,	PUNCT
ejpam-5304	295	6	engineering	engineering	NOUN
ejpam-5304	295	7	and	and	CCONJ
ejpam-5304	295	8	technology	technology	NOUN
ejpam-5304	295	9	,	,	PUNCT
ejpam-5304	295	10	62	62	NUM
ejpam-5304	295	11	,	,	PUNCT
ejpam-5304	295	12	2010	2010	NUM
ejpam-5304	295	13	.	.	PUNCT
ejpam-5304	296	1	[	[	X
ejpam-5304	296	2	2	2	NUM
ejpam-5304	296	3	]	]	X
ejpam-5304	296	4	d.	d.	NOUN
ejpam-5304	296	5	bandari	bandari	PROPN
ejpam-5304	296	6	and	and	CCONJ
ejpam-5304	296	7	n.	n.	PROPN
ejpam-5304	296	8	pal	pal	NOUN
ejpam-5304	296	9	.	.	PUNCT
ejpam-5304	297	1	some	some	DET
ejpam-5304	297	2	new	new	ADJ
ejpam-5304	297	3	information	information	NOUN
ejpam-5304	297	4	measures	measure	NOUN
ejpam-5304	297	5	for	for	ADP
ejpam-5304	297	6	fuzzy	fuzzy	ADJ
ejpam-5304	297	7	sets	set	NOUN
ejpam-5304	297	8	.	.	PUNCT
ejpam-5304	298	1	information	information	NOUN
ejpam-5304	298	2	science	science	NOUN
ejpam-5304	298	3	,	,	PUNCT
ejpam-5304	298	4	67:202–228	67:202–228	PROPN
ejpam-5304	298	5	,	,	PUNCT
ejpam-5304	298	6	1993	1993	NUM
ejpam-5304	298	7	.	.	PUNCT
ejpam-5304	299	1	[	[	X
ejpam-5304	299	2	3	3	NUM
ejpam-5304	299	3	]	]	PUNCT
ejpam-5304	299	4	a.	a.	NOUN
ejpam-5304	299	5	h.	h.	PROPN
ejpam-5304	299	6	bhat	bhat	PROPN
ejpam-5304	299	7	,	,	PUNCT
ejpam-5304	299	8	n.	n.	NOUN
ejpam-5304	299	9	a.	a.	NOUN
ejpam-5304	299	10	siddiqui	siddiqui	PROPN
ejpam-5304	299	11	,	,	PUNCT
ejpam-5304	299	12	i.	i.	PROPN
ejpam-5304	299	13	a.	a.	PROPN
ejpam-5304	299	14	mageed	mageed	PROPN
ejpam-5304	299	15	,	,	PUNCT
ejpam-5304	299	16	s.	s.	PROPN
ejpam-5304	299	17	alkhazaleh	alkhazaleh	PROPN
ejpam-5304	299	18	,	,	PUNCT
ejpam-5304	299	19	v.	v.	PROPN
ejpam-5304	299	20	r.	r.	PROPN
ejpam-5304	299	21	das	das	PROPN
ejpam-5304	299	22	,	,	PUNCT
ejpam-5304	299	23	and	and	CCONJ
ejpam-5304	299	24	m.	m.	PROPN
ejpam-5304	299	25	a.	a.	PROPN
ejpam-5304	299	26	k.	k.	PROPN
ejpam-5304	299	27	baig	baig	PROPN
ejpam-5304	299	28	.	.	PUNCT
ejpam-5304	300	1	generalization	generalization	NOUN
ejpam-5304	300	2	of	of	ADP
ejpam-5304	300	3	renyi	renyi	PROPN
ejpam-5304	300	4	entropy	entropy	PROPN
ejpam-5304	300	5	and	and	CCONJ
ejpam-5304	300	6	its	its	PRON
ejpam-5304	300	7	applications	application	NOUN
ejpam-5304	300	8	in	in	ADP
ejpam-5304	300	9	source	source	NOUN
ejpam-5304	300	10	coding	code	VERB
ejpam-5304	300	11	.	.	PUNCT
ejpam-5304	301	1	applied	apply	VERB
ejpam-5304	301	2	mathematics	mathematic	NOUN
ejpam-5304	301	3	and	and	CCONJ
ejpam-5304	301	4	information	information	NOUN
ejpam-5304	301	5	sciences	science	NOUN
ejpam-5304	301	6	,	,	PUNCT
ejpam-5304	301	7	17(5):941–948	17(5):941–948	NUM
ejpam-5304	301	8	,	,	PUNCT
ejpam-5304	301	9	2023	2023	NUM
ejpam-5304	301	10	.	.	PUNCT
ejpam-5304	302	1	[	[	X
ejpam-5304	302	2	4	4	X
ejpam-5304	302	3	]	]	X
ejpam-5304	302	4	j.	j.	PROPN
ejpam-5304	302	5	dar	dar	PROPN
ejpam-5304	302	6	and	and	CCONJ
ejpam-5304	302	7	b.	b.	PROPN
ejpam-5304	302	8	zahrani	zahrani	PROPN
ejpam-5304	302	9	.	.	PUNCT
ejpam-5304	303	1	on	on	ADP
ejpam-5304	303	2	some	some	DET
ejpam-5304	303	3	characterization	characterization	NOUN
ejpam-5304	303	4	results	result	NOUN
ejpam-5304	303	5	of	of	ADP
ejpam-5304	303	6	life	life	NOUN
ejpam-5304	303	7	time	time	NOUN
ejpam-5304	303	8	distributions	distribution	NOUN
ejpam-5304	303	9	using	use	VERB
ejpam-5304	303	10	mathai	mathai	PROPN
ejpam-5304	303	11	-	-	PUNCT
ejpam-5304	303	12	haubold	haubold	PROPN
ejpam-5304	303	13	residual	residual	ADJ
ejpam-5304	303	14	entropy	entropy	NOUN
ejpam-5304	303	15	.	.	PUNCT
ejpam-5304	304	1	iosr	iosr	ADJ
ejpam-5304	304	2	journal	journal	PROPN
ejpam-5304	304	3	of	of	ADP
ejpam-5304	304	4	mathematics	mathematics	PROPN
ejpam-5304	304	5	,	,	PUNCT
ejpam-5304	304	6	3:56–60	3:56–60	NUM
ejpam-5304	304	7	,	,	PUNCT
ejpam-5304	304	8	2013	2013	NUM
ejpam-5304	304	9	.	.	PUNCT
ejpam-5304	305	1	[	[	X
ejpam-5304	305	2	5	5	NUM
ejpam-5304	305	3	]	]	PUNCT
ejpam-5304	305	4	r.	r.	PROPN
ejpam-5304	305	5	v.	v.	PROPN
ejpam-5304	305	6	hartley	hartley	PROPN
ejpam-5304	305	7	.	.	PUNCT
ejpam-5304	306	1	transmission	transmission	NOUN
ejpam-5304	306	2	of	of	ADP
ejpam-5304	306	3	information	information	NOUN
ejpam-5304	306	4	1	1	NUM
ejpam-5304	306	5	.	.	PUNCT
ejpam-5304	306	6	bell	bell	PROPN
ejpam-5304	306	7	system	system	PROPN
ejpam-5304	306	8	technical	technical	ADJ
ejpam-5304	306	9	journal	journal	PROPN
ejpam-5304	306	10	,	,	PUNCT
ejpam-5304	306	11	7(3):535–563	7(3):535–563	NUM
ejpam-5304	306	12	,	,	PUNCT
ejpam-5304	306	13	1928	1928	NUM
ejpam-5304	306	14	.	.	PUNCT
ejpam-5304	307	1	[	[	X
ejpam-5304	307	2	6	6	X
ejpam-5304	307	3	]	]	PUNCT
ejpam-5304	307	4	j.	j.	PROPN
ejpam-5304	307	5	havrda	havrda	PROPN
ejpam-5304	307	6	and	and	CCONJ
ejpam-5304	307	7	f.	f.	PROPN
ejpam-5304	307	8	charvat	charvat	PROPN
ejpam-5304	307	9	.	.	PUNCT
ejpam-5304	308	1	quantification	quantification	NOUN
ejpam-5304	308	2	method	method	NOUN
ejpam-5304	308	3	of	of	ADP
ejpam-5304	308	4	classification	classification	NOUN
ejpam-5304	308	5	processes	process	NOUN
ejpam-5304	308	6	.	.	PUNCT
ejpam-5304	309	1	concept	concept	NOUN
ejpam-5304	309	2	of	of	ADP
ejpam-5304	309	3	structural	structural	ADJ
ejpam-5304	309	4	a	a	DET
ejpam-5304	309	5	-	-	PUNCT
ejpam-5304	309	6	entropy	entropy	NOUN
ejpam-5304	309	7	,	,	PUNCT
ejpam-5304	309	8	kybernetika	kybernetika	NOUN
ejpam-5304	309	9	,	,	PUNCT
ejpam-5304	309	10	3(1):30–35	3(1):30–35	NUM
ejpam-5304	309	11	,	,	PUNCT
ejpam-5304	309	12	1967	1967	NUM
ejpam-5304	309	13	.	.	PUNCT
ejpam-5304	310	1	[	[	X
ejpam-5304	310	2	7	7	X
ejpam-5304	310	3	]	]	X
ejpam-5304	310	4	d.	d.	PROPN
ejpam-5304	310	5	hooda	hooda	PROPN
ejpam-5304	310	6	.	.	PUNCT
ejpam-5304	311	1	on	on	ADP
ejpam-5304	311	2	generalized	generalized	ADJ
ejpam-5304	311	3	measures	measure	NOUN
ejpam-5304	311	4	of	of	ADP
ejpam-5304	311	5	fuzzy	fuzzy	ADJ
ejpam-5304	311	6	entropy	entropy	NOUN
ejpam-5304	311	7	.	.	PUNCT
ejpam-5304	312	1	mathematica	mathematica	PROPN
ejpam-5304	312	2	slovaca	slovaca	PROPN
ejpam-5304	312	3	,	,	PUNCT
ejpam-5304	312	4	3:315	3:315	NUM
ejpam-5304	312	5	–	–	PUNCT
ejpam-5304	312	6	325	325	NUM
ejpam-5304	312	7	,	,	PUNCT
ejpam-5304	312	8	2004	2004	NUM
ejpam-5304	312	9	.	.	PUNCT
ejpam-5304	313	1	[	[	X
ejpam-5304	313	2	8	8	X
ejpam-5304	313	3	]	]	PUNCT
ejpam-5304	313	4	j.	j.	PROPN
ejpam-5304	313	5	kapur	kapur	PROPN
ejpam-5304	313	6	.	.	PUNCT
ejpam-5304	313	7	measures	measure	NOUN
ejpam-5304	313	8	of	of	ADP
ejpam-5304	313	9	fuzzy	fuzzy	ADJ
ejpam-5304	313	10	information	information	NOUN
ejpam-5304	313	11	.	.	PUNCT
ejpam-5304	314	1	mathematical	mathematical	ADJ
ejpam-5304	314	2	sciences	sciences	PROPN
ejpam-5304	314	3	trust	trust	PROPN
ejpam-5304	314	4	society	society	NOUN
ejpam-5304	314	5	,	,	PUNCT
ejpam-5304	314	6	new	new	ADJ
ejpam-5304	314	7	delhi	delhi	PROPN
ejpam-5304	314	8	,	,	PUNCT
ejpam-5304	314	9	1997	1997	NUM
ejpam-5304	314	10	.	.	PUNCT
ejpam-5304	315	1	[	[	X
ejpam-5304	315	2	9	9	NUM
ejpam-5304	315	3	]	]	PUNCT
ejpam-5304	315	4	a.	a.	NOUN
ejpam-5304	315	5	kaufmann	kaufmann	PROPN
ejpam-5304	315	6	.	.	PUNCT
ejpam-5304	316	1	fuzzy	fuzzy	ADJ
ejpam-5304	316	2	subsets	subset	NOUN
ejpam-5304	316	3	:	:	PUNCT
ejpam-5304	316	4	fundamental	fundamental	ADJ
ejpam-5304	316	5	theoretical	theoretical	ADJ
ejpam-5304	316	6	elements	element	NOUN
ejpam-5304	316	7	,	,	PUNCT
ejpam-5304	316	8	volume	volume	NOUN
ejpam-5304	316	9	3	3	NUM
ejpam-5304	316	10	.	.	PUNCT
ejpam-5304	316	11	academic	academic	ADJ
ejpam-5304	316	12	press	press	NOUN
ejpam-5304	316	13	,	,	PUNCT
ejpam-5304	316	14	new	new	PROPN
ejpam-5304	316	15	york	york	PROPN
ejpam-5304	316	16	,	,	PUNCT
ejpam-5304	316	17	1980	1980	NUM
ejpam-5304	316	18	.	.	PUNCT
ejpam-5304	317	1	[	[	X
ejpam-5304	317	2	10	10	NUM
ejpam-5304	317	3	]	]	X
ejpam-5304	317	4	de	de	X
ejpam-5304	317	5	luca	luca	PROPN
ejpam-5304	317	6	and	and	CCONJ
ejpam-5304	317	7	s.	s.	PROPN
ejpam-5304	317	8	termini	termini	PROPN
ejpam-5304	317	9	.	.	PUNCT
ejpam-5304	318	1	a	a	DET
ejpam-5304	318	2	definition	definition	NOUN
ejpam-5304	318	3	of	of	ADP
ejpam-5304	318	4	non	non	ADJ
ejpam-5304	318	5	-	-	ADJ
ejpam-5304	318	6	probabilistic	probabilistic	ADJ
ejpam-5304	318	7	entropy	entropy	NOUN
ejpam-5304	318	8	in	in	ADP
ejpam-5304	318	9	the	the	DET
ejpam-5304	318	10	setting	setting	NOUN
ejpam-5304	318	11	of	of	ADP
ejpam-5304	318	12	fuzzy	fuzzy	ADJ
ejpam-5304	318	13	set	set	NOUN
ejpam-5304	318	14	theory	theory	NOUN
ejpam-5304	318	15	.	.	PUNCT
ejpam-5304	319	1	information	information	NOUN
ejpam-5304	319	2	and	and	CCONJ
ejpam-5304	319	3	control	control	NOUN
ejpam-5304	319	4	,	,	PUNCT
ejpam-5304	319	5	20:301–312	20:301–312	PROPN
ejpam-5304	319	6	,	,	PUNCT
ejpam-5304	319	7	1972	1972	NUM
ejpam-5304	319	8	.	.	PUNCT
ejpam-5304	320	1	references	reference	NOUN
ejpam-5304	320	2	2360	2360	NUM
ejpam-5304	320	3	[	[	X
ejpam-5304	320	4	11	11	NUM
ejpam-5304	320	5	]	]	PUNCT
ejpam-5304	320	6	a.	a.	NOUN
ejpam-5304	320	7	m.	m.	NOUN
ejpam-5304	320	8	mathai	mathai	PROPN
ejpam-5304	320	9	and	and	CCONJ
ejpam-5304	320	10	h.	h.	PROPN
ejpam-5304	320	11	j.	j.	PROPN
ejpam-5304	320	12	haubold	haubold	PROPN
ejpam-5304	320	13	.	.	PUNCT
ejpam-5304	321	1	pathway	pathway	NOUN
ejpam-5304	321	2	models	model	NOUN
ejpam-5304	321	3	,	,	PUNCT
ejpam-5304	321	4	tsallis	tsallis	PROPN
ejpam-5304	321	5	statistics	statistic	NOUN
ejpam-5304	321	6	,	,	PUNCT
ejpam-5304	321	7	superstatistics	superstatistic	NOUN
ejpam-5304	321	8	and	and	CCONJ
ejpam-5304	321	9	a	a	DET
ejpam-5304	321	10	generalized	generalized	ADJ
ejpam-5304	321	11	measure	measure	NOUN
ejpam-5304	321	12	of	of	ADP
ejpam-5304	321	13	fuzzy	fuzzy	ADJ
ejpam-5304	321	14	entropy	entropy	PROPN
ejpam-5304	321	15	.	.	PUNCT
ejpam-5304	322	1	physics	physics	PROPN
ejpam-5304	322	2	a	a	PRON
ejpam-5304	322	3	,	,	PUNCT
ejpam-5304	322	4	375:110–122	375:110–122	NUM
ejpam-5304	322	5	,	,	PUNCT
ejpam-5304	322	6	2006	2006	NUM
ejpam-5304	322	7	.	.	PUNCT
ejpam-5304	323	1	[	[	X
ejpam-5304	323	2	12	12	NUM
ejpam-5304	323	3	]	]	PUNCT
ejpam-5304	323	4	h.	h.	NOUN
ejpam-5304	323	5	nyquist	nyquist	NOUN
ejpam-5304	323	6	.	.	PUNCT
ejpam-5304	324	1	certain	certain	ADJ
ejpam-5304	324	2	factors	factor	NOUN
ejpam-5304	324	3	affecting	affect	VERB
ejpam-5304	324	4	telegraph	telegraph	NOUN
ejpam-5304	324	5	speed	speed	NOUN
ejpam-5304	324	6	.	.	PUNCT
ejpam-5304	325	1	transactions	transaction	NOUN
ejpam-5304	325	2	of	of	ADP
ejpam-5304	325	3	the	the	DET
ejpam-5304	325	4	american	american	PROPN
ejpam-5304	325	5	institute	institute	PROPN
ejpam-5304	325	6	of	of	ADP
ejpam-5304	325	7	electrical	electrical	ADJ
ejpam-5304	325	8	engineers	engineer	NOUN
ejpam-5304	325	9	,	,	PUNCT
ejpam-5304	325	10	43:412–422	43:412–422	NOUN
ejpam-5304	325	11	,	,	PUNCT
ejpam-5304	325	12	1924	1924	NUM
ejpam-5304	325	13	.	.	PUNCT
ejpam-5304	326	1	[	[	X
ejpam-5304	326	2	13	13	NUM
ejpam-5304	326	3	]	]	PUNCT
ejpam-5304	326	4	h.	h.	NOUN
ejpam-5304	326	5	nyquist	nyquist	NOUN
ejpam-5304	326	6	.	.	PUNCT
ejpam-5304	327	1	certain	certain	ADJ
ejpam-5304	327	2	topics	topic	NOUN
ejpam-5304	327	3	in	in	ADP
ejpam-5304	327	4	telegraph	telegraph	NOUN
ejpam-5304	327	5	transmission	transmission	NOUN
ejpam-5304	327	6	theory	theory	NOUN
ejpam-5304	327	7	.	.	PUNCT
ejpam-5304	328	1	transactions	transaction	NOUN
ejpam-5304	328	2	of	of	ADP
ejpam-5304	328	3	the	the	DET
ejpam-5304	328	4	american	american	PROPN
ejpam-5304	328	5	institute	institute	PROPN
ejpam-5304	328	6	of	of	ADP
ejpam-5304	328	7	electrical	electrical	ADJ
ejpam-5304	328	8	engineers	engineer	NOUN
ejpam-5304	328	9	,	,	PUNCT
ejpam-5304	328	10	47(2):617–644	47(2):617–644	PROPN
ejpam-5304	328	11	,	,	PUNCT
ejpam-5304	328	12	1928	1928	NUM
ejpam-5304	328	13	.	.	PUNCT
ejpam-5304	329	1	[	[	X
ejpam-5304	329	2	14	14	NUM
ejpam-5304	329	3	]	]	PUNCT
ejpam-5304	329	4	a.	a.	NOUN
ejpam-5304	329	5	renyi	renyi	PROPN
ejpam-5304	329	6	.	.	PUNCT
ejpam-5304	330	1	on	on	ADP
ejpam-5304	330	2	measure	measure	NOUN
ejpam-5304	330	3	of	of	ADP
ejpam-5304	330	4	entropy	entropy	NOUN
ejpam-5304	330	5	and	and	CCONJ
ejpam-5304	330	6	information	information	NOUN
ejpam-5304	330	7	.	.	PUNCT
ejpam-5304	331	1	in	in	ADP
ejpam-5304	331	2	proceeding	proceed	VERB
ejpam-5304	331	3	fourth	fourth	ADJ
ejpam-5304	331	4	berkley	berkley	NOUN
ejpam-5304	331	5	symposium	symposium	NOUN
ejpam-5304	331	6	on	on	ADP
ejpam-5304	331	7	mathematical	mathematical	ADJ
ejpam-5304	331	8	statistics	statistic	NOUN
ejpam-5304	331	9	and	and	CCONJ
ejpam-5304	331	10	probability	probability	NOUN
ejpam-5304	331	11	,	,	PUNCT
ejpam-5304	331	12	volume	volume	NOUN
ejpam-5304	331	13	1	1	NUM
ejpam-5304	331	14	,	,	PUNCT
ejpam-5304	331	15	pages	page	NOUN
ejpam-5304	331	16	546–561	546–561	NUM
ejpam-5304	331	17	.	.	PUNCT
ejpam-5304	332	1	university	university	PROPN
ejpam-5304	332	2	of	of	ADP
ejpam-5304	332	3	california	california	PROPN
ejpam-5304	332	4	press	press	PROPN
ejpam-5304	332	5	,	,	PUNCT
ejpam-5304	332	6	1961	1961	NUM
ejpam-5304	332	7	.	.	PUNCT
ejpam-5304	333	1	[	[	X
ejpam-5304	333	2	15	15	NUM
ejpam-5304	333	3	]	]	X
ejpam-5304	333	4	c.	c.	PROPN
ejpam-5304	333	5	e.	e.	PROPN
ejpam-5304	333	6	shannon	shannon	PROPN
ejpam-5304	333	7	.	.	PUNCT
ejpam-5304	334	1	a	a	DET
ejpam-5304	334	2	mathematical	mathematical	ADJ
ejpam-5304	334	3	theory	theory	NOUN
ejpam-5304	334	4	of	of	ADP
ejpam-5304	334	5	communication	communication	NOUN
ejpam-5304	334	6	.	.	PUNCT
ejpam-5304	335	1	bell	bell	NOUN
ejpam-5304	335	2	system	system	PROPN
ejpam-5304	335	3	technical	technical	PROPN
ejpam-5304	335	4	journal	journal	NOUN
ejpam-5304	335	5	,	,	PUNCT
ejpam-5304	335	6	27:379–423	27:379–423	NUM
ejpam-5304	335	7	,	,	PUNCT
ejpam-5304	335	8	623–659	623–659	NUM
ejpam-5304	335	9	,	,	PUNCT
ejpam-5304	335	10	1948	1948	NUM
ejpam-5304	335	11	.	.	PUNCT
ejpam-5304	336	1	[	[	X
ejpam-5304	336	2	16	16	NUM
ejpam-5304	336	3	]	]	X
ejpam-5304	336	4	c.	c.	PROPN
ejpam-5304	336	5	tsallis	tsallis	PROPN
ejpam-5304	336	6	.	.	PUNCT
ejpam-5304	337	1	possible	possible	ADJ
ejpam-5304	337	2	generalization	generalization	NOUN
ejpam-5304	337	3	of	of	ADP
ejpam-5304	337	4	boltzmann	boltzmann	PROPN
ejpam-5304	337	5	-	-	PUNCT
ejpam-5304	337	6	gibbs	gibbs	PROPN
ejpam-5304	337	7	statistics	statistics	PROPN
ejpam-5304	337	8	.	.	PUNCT
ejpam-5304	338	1	journal	journal	NOUN
ejpam-5304	338	2	of	of	ADP
ejpam-5304	338	3	statistical	statistical	ADJ
ejpam-5304	338	4	physics	physics	NOUN
ejpam-5304	338	5	,	,	PUNCT
ejpam-5304	338	6	52(1–2):479–487	52(1–2):479–487	NOUN
ejpam-5304	338	7	,	,	PUNCT
ejpam-5304	338	8	1988	1988	NUM
ejpam-5304	338	9	.	.	PUNCT
ejpam-5304	339	1	[	[	X
ejpam-5304	339	2	17	17	NUM
ejpam-5304	339	3	]	]	PUNCT
ejpam-5304	339	4	l.	l.	PROPN
ejpam-5304	339	5	zadeh	zadeh	PROPN
ejpam-5304	339	6	.	.	PUNCT
ejpam-5304	339	7	probability	probability	NOUN
ejpam-5304	339	8	measures	measure	NOUN
ejpam-5304	339	9	of	of	ADP
ejpam-5304	339	10	fuzzy	fuzzy	ADJ
ejpam-5304	339	11	events	event	NOUN
ejpam-5304	339	12	.	.	PUNCT
ejpam-5304	340	1	journal	journal	PROPN
ejpam-5304	340	2	math	math	PROPN
ejpam-5304	340	3	.	.	PUNCT
ejpam-5304	341	1	anal	anal	PROPN
ejpam-5304	341	2	.	.	PUNCT
ejpam-5304	341	3	appl	appl	PROPN
ejpam-5304	341	4	.	.	PROPN
ejpam-5304	341	5	,	,	PUNCT
ejpam-5304	341	6	pages	page	VERB
ejpam-5304	341	7	421–427	421–427	NUM
ejpam-5304	341	8	,	,	PUNCT
ejpam-5304	341	9	1965	1965	NUM
ejpam-5304	341	10	.	.	PUNCT
ejpam-5304	342	1	[	[	X
ejpam-5304	342	2	18	18	NUM
ejpam-5304	342	3	]	]	X
ejpam-5304	342	4	l.	l.	PROPN
ejpam-5304	342	5	a.	a.	PROPN
ejpam-5304	342	6	zadeh	zadeh	PROPN
ejpam-5304	342	7	.	.	PUNCT
ejpam-5304	342	8	fuzzy	fuzzy	ADJ
ejpam-5304	342	9	sets	set	NOUN
ejpam-5304	342	10	.	.	PUNCT
ejpam-5304	343	1	information	information	NOUN
ejpam-5304	343	2	and	and	CCONJ
ejpam-5304	343	3	control	control	NOUN
ejpam-5304	343	4	,	,	PUNCT
ejpam-5304	343	5	8:338–353	8:338–353	NUM
ejpam-5304	343	6	,	,	PUNCT
ejpam-5304	343	7	1965	1965	NUM
ejpam-5304	343	8	.	.	PUNCT