id	sid	tid	token	lemma	pos
cana-1655	1	1	communications	communication	NOUN
cana-1655	1	2	on	on	ADP
cana-1655	1	3	applied	apply	VERB
cana-1655	1	4	nonlinear	nonlinear	ADJ
cana-1655	1	5	analysis	analysis	NOUN
cana-1655	1	6	issn	issn	NOUN
cana-1655	1	7	:	:	PUNCT
cana-1655	1	8	1074	1074	NUM
cana-1655	1	9	-	-	PUNCT
cana-1655	1	10	133x	133x	NUM
cana-1655	1	11	vol	vol	NOUN
cana-1655	1	12	32	32	NUM
cana-1655	1	13	no	no	NOUN
cana-1655	1	14	.	.	NOUN
cana-1655	1	15	1	1	NUM
cana-1655	1	16	(	(	PUNCT
cana-1655	1	17	2025	2025	NUM
cana-1655	1	18	)	)	PUNCT
cana-1655	1	19	344	344	NUM
cana-1655	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	1	21	an	an	DET
cana-1655	1	22	algorithmic	algorithmic	ADJ
cana-1655	1	23	approaches	approach	NOUN
cana-1655	1	24	of	of	ADP
cana-1655	1	25	solving	solve	VERB
cana-1655	1	26	fuzzy	fuzzy	ADJ
cana-1655	1	27	critical	critical	ADJ
cana-1655	1	28	path	path	NOUN
cana-1655	1	29	problem	problem	NOUN
cana-1655	1	30	using	use	VERB
cana-1655	1	31	haarranking	haarranke	VERB
cana-1655	1	32	octagonal	octagonal	ADJ
cana-1655	1	33	fuzzy	fuzzy	ADJ
cana-1655	1	34	number	number	NOUN
cana-1655	1	35	method	method	NOUN
cana-1655	1	36	rijwan	rijwan	NOUN
cana-1655	1	37	shaik1	shaik1	PROPN
cana-1655	1	38	,	,	PUNCT
cana-1655	1	39	n.ravi	n.ravi	X
cana-1655	1	40	shankar2	shankar2	X
cana-1655	2	1	1,2department	1,2department	NUM
cana-1655	2	2	of	of	ADP
cana-1655	2	3	mathematics	mathematic	NOUN
cana-1655	2	4	,	,	PUNCT
cana-1655	2	5	gitam	gitam	NOUN
cana-1655	2	6	school	school	NOUN
cana-1655	2	7	of	of	ADP
cana-1655	2	8	science	science	NOUN
cana-1655	2	9	,	,	PUNCT
cana-1655	2	10	gitam	gitam	NOUN
cana-1655	2	11	deemed	deem	VERB
cana-1655	2	12	to	to	PART
cana-1655	2	13	be	be	AUX
cana-1655	2	14	university	university	NOUN
cana-1655	2	15	,	,	PUNCT
cana-1655	2	16	visakhapatnam	visakhapatnam	PROPN
cana-1655	2	17	530045	530045	NUM
cana-1655	2	18	.	.	PUNCT
cana-1655	3	1	india	india	PROPN
cana-1655	3	2	article	article	PROPN
cana-1655	3	3	history	history	NOUN
cana-1655	3	4	:	:	PUNCT
cana-1655	3	5	received	receive	VERB
cana-1655	3	6	:	:	PUNCT
cana-1655	3	7	15	15	NUM
cana-1655	3	8	-	-	SYM
cana-1655	3	9	07	07	NUM
cana-1655	3	10	-	-	PUNCT
cana-1655	3	11	2024	2024	NUM
cana-1655	3	12	revised	revise	VERB
cana-1655	3	13	:	:	PUNCT
cana-1655	3	14	30	30	NUM
cana-1655	3	15	-	-	SYM
cana-1655	3	16	08	08	NUM
cana-1655	3	17	-	-	PUNCT
cana-1655	3	18	2024	2024	NUM
cana-1655	3	19	accepted	accept	VERB
cana-1655	3	20	:	:	PUNCT
cana-1655	3	21	11	11	NUM
cana-1655	3	22	-	-	SYM
cana-1655	3	23	09	09	NUM
cana-1655	3	24	-	-	PUNCT
cana-1655	3	25	2024	2024	NUM
cana-1655	3	26	abstract	abstract	NOUN
cana-1655	3	27	:	:	PUNCT
cana-1655	3	28	in	in	ADP
cana-1655	3	29	a	a	DET
cana-1655	3	30	network	network	NOUN
cana-1655	3	31	analysis	analysis	NOUN
cana-1655	3	32	,	,	PUNCT
cana-1655	3	33	find	find	VERB
cana-1655	3	34	the	the	DET
cana-1655	3	35	critical	critical	ADJ
cana-1655	3	36	path	path	NOUN
cana-1655	3	37	of	of	ADP
cana-1655	3	38	the	the	DET
cana-1655	3	39	problem	problem	NOUN
cana-1655	3	40	is	be	AUX
cana-1655	3	41	an	an	DET
cana-1655	3	42	important	important	ADJ
cana-1655	3	43	techniques	technique	NOUN
cana-1655	3	44	which	which	PRON
cana-1655	3	45	involves	involve	VERB
cana-1655	3	46	planning	planning	NOUN
cana-1655	3	47	and	and	CCONJ
cana-1655	3	48	control	control	NOUN
cana-1655	3	49	of	of	ADP
cana-1655	3	50	the	the	DET
cana-1655	3	51	large	large	ADJ
cana-1655	3	52	projects	project	NOUN
cana-1655	3	53	that	that	PRON
cana-1655	3	54	are	be	AUX
cana-1655	3	55	very	very	ADV
cana-1655	3	56	complex	complex	ADJ
cana-1655	3	57	in	in	ADP
cana-1655	3	58	nature	nature	NOUN
cana-1655	3	59	.	.	PUNCT
cana-1655	4	1	clear	clear	ADJ
cana-1655	4	2	identification	identification	NOUN
cana-1655	4	3	of	of	ADP
cana-1655	4	4	each	each	DET
cana-1655	4	5	task	task	NOUN
cana-1655	4	6	will	will	AUX
cana-1655	4	7	help	help	VERB
cana-1655	4	8	to	to	PART
cana-1655	4	9	implement	implement	VERB
cana-1655	4	10	critical	critical	ADJ
cana-1655	4	11	path	path	NOUN
cana-1655	4	12	successfully.but	successfully.but	X
cana-1655	4	13	in	in	ADP
cana-1655	4	14	real	real	ADJ
cana-1655	4	15	life	life	NOUN
cana-1655	4	16	situations	situation	NOUN
cana-1655	4	17	the	the	DET
cana-1655	4	18	time	time	NOUN
cana-1655	4	19	duration	duration	NOUN
cana-1655	4	20	can	can	AUX
cana-1655	4	21	not	not	PART
cana-1655	4	22	be	be	AUX
cana-1655	4	23	predicted	predict	VERB
cana-1655	4	24	accurately	accurately	ADV
cana-1655	4	25	due	due	ADJ
cana-1655	4	26	to	to	ADP
cana-1655	4	27	various	various	ADJ
cana-1655	4	28	delay	delay	NOUN
cana-1655	4	29	or	or	CCONJ
cana-1655	4	30	vagueness	vagueness	NOUN
cana-1655	4	31	while	while	SCONJ
cana-1655	4	32	execution	execution	NOUN
cana-1655	4	33	of	of	ADP
cana-1655	4	34	the	the	DET
cana-1655	4	35	project	project	NOUN
cana-1655	4	36	.	.	PUNCT
cana-1655	5	1	during	during	ADP
cana-1655	5	2	implementation	implementation	NOUN
cana-1655	5	3	of	of	ADP
cana-1655	5	4	the	the	DET
cana-1655	5	5	project	project	NOUN
cana-1655	5	6	one	one	PRON
cana-1655	5	7	may	may	AUX
cana-1655	5	8	encounter	encounter	VERB
cana-1655	5	9	various	various	ADJ
cana-1655	5	10	delay	delay	NOUN
cana-1655	5	11	or	or	CCONJ
cana-1655	5	12	vagueness	vagueness	NOUN
cana-1655	5	13	while	while	SCONJ
cana-1655	5	14	execution	execution	NOUN
cana-1655	5	15	of	of	ADP
cana-1655	5	16	the	the	DET
cana-1655	5	17	project.critical	project.critical	ADJ
cana-1655	5	18	path	path	NOUN
cana-1655	5	19	of	of	ADP
cana-1655	5	20	the	the	DET
cana-1655	5	21	network	network	NOUN
cana-1655	5	22	gives	give	VERB
cana-1655	5	23	an	an	DET
cana-1655	5	24	idea	idea	NOUN
cana-1655	5	25	of	of	ADP
cana-1655	5	26	minimum	minimum	ADJ
cana-1655	5	27	time	time	NOUN
cana-1655	5	28	one	one	PRON
cana-1655	5	29	may	may	AUX
cana-1655	5	30	expect	expect	VERB
cana-1655	5	31	to	to	PART
cana-1655	5	32	complete	complete	VERB
cana-1655	5	33	the	the	DET
cana-1655	5	34	project	project	NOUN
cana-1655	5	35	.	.	PUNCT
cana-1655	6	1	hence	hence	ADV
cana-1655	6	2	the	the	DET
cana-1655	6	3	importance	importance	NOUN
cana-1655	6	4	of	of	ADP
cana-1655	6	5	the	the	DET
cana-1655	6	6	critical	critical	ADJ
cana-1655	6	7	path	path	NOUN
cana-1655	6	8	play	play	VERB
cana-1655	6	9	a	a	DET
cana-1655	6	10	major	major	ADJ
cana-1655	6	11	role	role	NOUN
cana-1655	6	12	in	in	ADP
cana-1655	6	13	network	network	NOUN
cana-1655	6	14	analysis	analysis	NOUN
cana-1655	6	15	.	.	PUNCT
cana-1655	7	1	in	in	ADP
cana-1655	7	2	this	this	DET
cana-1655	7	3	paper	paper	NOUN
cana-1655	7	4	,	,	PUNCT
cana-1655	7	5	the	the	DET
cana-1655	7	6	concept	concept	NOUN
cana-1655	7	7	of	of	ADP
cana-1655	7	8	finding	find	VERB
cana-1655	7	9	fuzzy	fuzzy	ADJ
cana-1655	7	10	critical	critical	ADJ
cana-1655	7	11	path	path	NOUN
cana-1655	7	12	haar	haar	X
cana-1655	7	13	octagonal	octagonal	ADJ
cana-1655	7	14	fuzzy	fuzzy	ADJ
cana-1655	7	15	number	number	NOUN
cana-1655	7	16	is	be	AUX
cana-1655	7	17	introduced	introduce	VERB
cana-1655	7	18	.	.	PUNCT
cana-1655	8	1	new	new	ADJ
cana-1655	8	2	algebraic	algebraic	PROPN
cana-1655	8	3	arithmetic	arithmetic	NOUN
cana-1655	8	4	of	of	ADP
cana-1655	8	5	haar	haar	PROPN
cana-1655	8	6	octagonal	octagonal	ADJ
cana-1655	8	7	fuzzy	fuzzy	ADJ
cana-1655	8	8	numbers	number	NOUN
cana-1655	8	9	is	be	AUX
cana-1655	8	10	also	also	ADV
cana-1655	8	11	discussed	discuss	VERB
cana-1655	8	12	.	.	PUNCT
cana-1655	9	1	a	a	DET
cana-1655	9	2	new	new	ADJ
cana-1655	9	3	method	method	NOUN
cana-1655	9	4	for	for	ADP
cana-1655	9	5	finding	find	VERB
cana-1655	9	6	the	the	DET
cana-1655	9	7	critical	critical	ADJ
cana-1655	9	8	path	path	NOUN
cana-1655	9	9	of	of	ADP
cana-1655	9	10	the	the	DET
cana-1655	9	11	problem	problem	NOUN
cana-1655	9	12	is	be	AUX
cana-1655	9	13	introduced	introduce	VERB
cana-1655	9	14	with	with	ADP
cana-1655	9	15	the	the	DET
cana-1655	9	16	help	help	NOUN
cana-1655	9	17	of	of	ADP
cana-1655	9	18	floyd	floyd	PROPN
cana-1655	9	19	warshall	warshall	PROPN
cana-1655	9	20	algorithm	algorithm	PROPN
cana-1655	9	21	and	and	CCONJ
cana-1655	9	22	haar	haar	X
cana-1655	9	23	octagonal	octagonal	ADJ
cana-1655	9	24	fuzzy	fuzzy	ADJ
cana-1655	9	25	numbers	number	NOUN
cana-1655	9	26	.	.	PUNCT
cana-1655	10	1	a	a	DET
cana-1655	10	2	suitable	suitable	ADJ
cana-1655	10	3	numerical	numerical	ADJ
cana-1655	10	4	examples	example	NOUN
cana-1655	10	5	are	be	AUX
cana-1655	10	6	given	give	VERB
cana-1655	10	7	to	to	PART
cana-1655	10	8	demonstrate	demonstrate	VERB
cana-1655	10	9	the	the	DET
cana-1655	10	10	above	above	ADJ
cana-1655	10	11	methods	method	NOUN
cana-1655	10	12	.	.	PUNCT
cana-1655	11	1	keywords	keyword	NOUN
cana-1655	11	2	:	:	PUNCT
cana-1655	11	3	fuzzy	fuzzy	ADJ
cana-1655	11	4	set	set	NOUN
cana-1655	11	5	,	,	PUNCT
cana-1655	11	6	warshall	warshall	PROPN
cana-1655	11	7	algorithm	algorithm	PROPN
cana-1655	11	8	,	,	PUNCT
cana-1655	11	9	haar	haar	PROPN
cana-1655	11	10	algorithm	algorithm	PROPN
cana-1655	11	11	,	,	PUNCT
cana-1655	11	12	octogonal	octogonal	ADJ
cana-1655	11	13	fuzzy	fuzzy	ADJ
cana-1655	11	14	number	number	NOUN
cana-1655	11	15	1	1	NUM
cana-1655	11	16	.	.	PUNCT
cana-1655	12	1	introduction	introduction	NOUN
cana-1655	12	2	one	one	NUM
cana-1655	12	3	of	of	ADP
cana-1655	12	4	the	the	DET
cana-1655	12	5	problems	problem	NOUN
cana-1655	12	6	in	in	ADP
cana-1655	12	7	engineering	engineering	NOUN
cana-1655	12	8	and	and	CCONJ
cana-1655	12	9	management	management	NOUN
cana-1655	12	10	sciences	science	NOUN
cana-1655	12	11	is	be	AUX
cana-1655	12	12	the	the	DET
cana-1655	12	13	network	network	NOUN
cana-1655	12	14	problems	problem	NOUN
cana-1655	12	15	.	.	PUNCT
cana-1655	13	1	the	the	DET
cana-1655	13	2	main	main	ADJ
cana-1655	13	3	objective	objective	NOUN
cana-1655	13	4	of	of	ADP
cana-1655	13	5	the	the	DET
cana-1655	13	6	network	network	NOUN
cana-1655	13	7	analysis	analysis	NOUN
cana-1655	13	8	is	be	AUX
cana-1655	13	9	to	to	PART
cana-1655	13	10	analyse	analyse	VERB
cana-1655	13	11	the	the	DET
cana-1655	13	12	network	network	NOUN
cana-1655	13	13	to	to	PART
cana-1655	13	14	examine	examine	VERB
cana-1655	13	15	the	the	DET
cana-1655	13	16	total	total	ADJ
cana-1655	13	17	project	project	NOUN
cana-1655	13	18	duration	duration	NOUN
cana-1655	13	19	and	and	CCONJ
cana-1655	13	20	divides	divide	VERB
cana-1655	13	21	the	the	DET
cana-1655	13	22	project	project	NOUN
cana-1655	13	23	into	into	ADP
cana-1655	13	24	critical	critical	ADJ
cana-1655	13	25	and	and	CCONJ
cana-1655	13	26	non	non	ADJ
cana-1655	13	27	-	-	ADJ
cana-1655	13	28	critical	critical	ADJ
cana-1655	13	29	path	path	NOUN
cana-1655	13	30	.	.	PUNCT
cana-1655	14	1	in	in	ADP
cana-1655	14	2	a	a	DET
cana-1655	14	3	network	network	NOUN
cana-1655	14	4	analysis	analysis	NOUN
cana-1655	14	5	,	,	PUNCT
cana-1655	14	6	an	an	DET
cana-1655	14	7	activity	activity	NOUN
cana-1655	14	8	is	be	AUX
cana-1655	14	9	said	say	VERB
cana-1655	14	10	to	to	PART
cana-1655	14	11	be	be	AUX
cana-1655	14	12	critical	critical	ADJ
cana-1655	14	13	the	the	DET
cana-1655	14	14	longest	long	ADJ
cana-1655	14	15	path	path	NOUN
cana-1655	14	16	is	be	AUX
cana-1655	14	17	taken	take	VERB
cana-1655	14	18	from	from	ADP
cana-1655	14	19	start	start	NOUN
cana-1655	14	20	to	to	ADP
cana-1655	14	21	finish	finish	NOUN
cana-1655	14	22	.	.	PUNCT
cana-1655	15	1	it	it	PRON
cana-1655	15	2	denotes	denote	VERB
cana-1655	15	3	the	the	DET
cana-1655	15	4	minimum	minimum	ADJ
cana-1655	15	5	time	time	NOUN
cana-1655	15	6	necessary	necessary	ADJ
cana-1655	15	7	to	to	PART
cana-1655	15	8	finish	finish	VERB
cana-1655	15	9	the	the	DET
cana-1655	15	10	entire	entire	ADJ
cana-1655	15	11	project	project	NOUN
cana-1655	15	12	.	.	PUNCT
cana-1655	16	1	the	the	DET
cana-1655	16	2	main	main	ADJ
cana-1655	16	3	idea	idea	NOUN
cana-1655	16	4	in	in	ADP
cana-1655	16	5	identifying	identify	VERB
cana-1655	16	6	critical	critical	ADJ
cana-1655	16	7	path	path	NOUN
cana-1655	16	8	in	in	ADP
cana-1655	16	9	a	a	DET
cana-1655	16	10	network	network	NOUN
cana-1655	16	11	is	be	AUX
cana-1655	16	12	to	to	PART
cana-1655	16	13	determine	determine	VERB
cana-1655	16	14	the	the	DET
cana-1655	16	15	main	main	ADJ
cana-1655	16	16	activities	activity	NOUN
cana-1655	16	17	involved	involve	VERB
cana-1655	16	18	in	in	ADP
cana-1655	16	19	the	the	DET
cana-1655	16	20	project	project	NOUN
cana-1655	16	21	so	so	SCONJ
cana-1655	16	22	that	that	SCONJ
cana-1655	16	23	the	the	DET
cana-1655	16	24	maximum	maximum	ADJ
cana-1655	16	25	number	number	NOUN
cana-1655	16	26	of	of	ADP
cana-1655	16	27	resources	resource	NOUN
cana-1655	16	28	can	can	AUX
cana-1655	16	29	be	be	AUX
cana-1655	16	30	utilized	utilize	VERB
cana-1655	16	31	to	to	PART
cana-1655	16	32	finish	finish	VERB
cana-1655	16	33	the	the	DET
cana-1655	16	34	work	work	NOUN
cana-1655	16	35	at	at	ADP
cana-1655	16	36	the	the	DET
cana-1655	16	37	earliest	early	ADJ
cana-1655	16	38	time	time	NOUN
cana-1655	16	39	.	.	PUNCT
cana-1655	17	1	in	in	ADP
cana-1655	17	2	the	the	DET
cana-1655	17	3	early	early	ADJ
cana-1655	17	4	19th	19th	ADJ
cana-1655	17	5	century	century	NOUN
cana-1655	17	6	morgan	morgan	PROPN
cana-1655	17	7	r.	r.	PROPN
cana-1655	17	8	walker	walker	PROPN
cana-1655	17	9	and	and	CCONJ
cana-1655	17	10	james	james	PROPN
cana-1655	17	11	e.	e.	PROPN
cana-1655	17	12	kelly	kelly	PROPN
cana-1655	17	13	developed	develop	VERB
cana-1655	17	14	the	the	DET
cana-1655	17	15	concept	concept	NOUN
cana-1655	17	16	of	of	ADP
cana-1655	17	17	critical	critical	ADJ
cana-1655	17	18	path	path	NOUN
cana-1655	17	19	in	in	ADP
cana-1655	17	20	network	network	NOUN
cana-1655	17	21	analysis	analysis	NOUN
cana-1655	17	22	to	to	PART
cana-1655	17	23	maximize	maximize	VERB
cana-1655	17	24	the	the	DET
cana-1655	17	25	utilization	utilization	NOUN
cana-1655	17	26	of	of	ADP
cana-1655	17	27	available	available	ADJ
cana-1655	17	28	resources	resource	NOUN
cana-1655	17	29	.	.	PUNCT
cana-1655	18	1	during	during	ADP
cana-1655	18	2	the	the	DET
cana-1655	18	3	execution	execution	NOUN
cana-1655	18	4	of	of	ADP
cana-1655	18	5	the	the	DET
cana-1655	18	6	project	project	NOUN
cana-1655	18	7	in	in	ADP
cana-1655	18	8	any	any	DET
cana-1655	18	9	network	network	NOUN
cana-1655	18	10	the	the	DET
cana-1655	18	11	time	time	NOUN
cana-1655	18	12	and	and	CCONJ
cana-1655	18	13	cost	cost	NOUN
cana-1655	18	14	of	of	ADP
cana-1655	18	15	the	the	DET
cana-1655	18	16	activity	activity	NOUN
cana-1655	18	17	is	be	AUX
cana-1655	18	18	clearly	clearly	ADV
cana-1655	18	19	an	an	DET
cana-1655	18	20	uncertain	uncertain	NOUN
cana-1655	18	21	.	.	PUNCT
cana-1655	19	1	due	due	ADP
cana-1655	19	2	to	to	ADP
cana-1655	19	3	this	this	DET
cana-1655	19	4	uncertainty	uncertainty	NOUN
cana-1655	19	5	prevailing	prevail	VERB
cana-1655	19	6	in	in	ADP
cana-1655	19	7	the	the	DET
cana-1655	19	8	network	network	NOUN
cana-1655	19	9	,	,	PUNCT
cana-1655	19	10	the	the	DET
cana-1655	19	11	modelling	modelling	NOUN
cana-1655	19	12	of	of	ADP
cana-1655	19	13	the	the	DET
cana-1655	19	14	problem	problem	NOUN
cana-1655	19	15	leads	lead	VERB
cana-1655	19	16	to	to	ADP
cana-1655	19	17	fuzzy	fuzzy	ADJ
cana-1655	19	18	numbers	number	NOUN
cana-1655	19	19	.	.	PUNCT
cana-1655	20	1	in	in	ADP
cana-1655	20	2	a	a	DET
cana-1655	20	3	network	network	NOUN
cana-1655	20	4	analysis	analysis	NOUN
cana-1655	20	5	if	if	SCONJ
cana-1655	20	6	the	the	DET
cana-1655	20	7	fuzzy	fuzzy	ADJ
cana-1655	20	8	numbers	number	NOUN
cana-1655	20	9	are	be	AUX
cana-1655	20	10	involved	involve	VERB
cana-1655	20	11	one	one	NUM
cana-1655	20	12	can	can	AUX
cana-1655	20	13	say	say	VERB
cana-1655	20	14	that	that	SCONJ
cana-1655	20	15	network	network	NOUN
cana-1655	20	16	is	be	AUX
cana-1655	20	17	a	a	DET
cana-1655	20	18	fuzzy	fuzzy	ADJ
cana-1655	20	19	network	network	NOUN
cana-1655	20	20	problems	problem	NOUN
cana-1655	20	21	.	.	PUNCT
cana-1655	21	1	finding	find	VERB
cana-1655	21	2	the	the	DET
cana-1655	21	3	critical	critical	ADJ
cana-1655	21	4	path	path	NOUN
cana-1655	21	5	which	which	PRON
cana-1655	21	6	involves	involve	VERB
cana-1655	21	7	the	the	DET
cana-1655	21	8	fuzzy	fuzzy	ADJ
cana-1655	21	9	numbers	number	NOUN
cana-1655	21	10	is	be	AUX
cana-1655	21	11	called	call	VERB
cana-1655	21	12	fuzzy	fuzzy	ADJ
cana-1655	21	13	critical	critical	ADJ
cana-1655	21	14	path	path	NOUN
cana-1655	21	15	problem	problem	NOUN
cana-1655	21	16	.	.	PUNCT
cana-1655	22	1	critical	critical	ADJ
cana-1655	22	2	path	path	NOUN
cana-1655	22	3	method	method	NOUN
cana-1655	22	4	(	(	PUNCT
cana-1655	22	5	cpm	cpm	PROPN
cana-1655	22	6	)	)	PUNCT
cana-1655	22	7	is	be	AUX
cana-1655	22	8	one	one	NUM
cana-1655	22	9	of	of	ADP
cana-1655	22	10	the	the	DET
cana-1655	22	11	techniques	technique	NOUN
cana-1655	22	12	for	for	ADP
cana-1655	22	13	identifying	identify	VERB
cana-1655	22	14	critical	critical	ADJ
cana-1655	22	15	activities	activity	NOUN
cana-1655	22	16	that	that	PRON
cana-1655	22	17	prevails	prevail	VERB
cana-1655	22	18	in	in	ADP
cana-1655	22	19	the	the	DET
cana-1655	22	20	network.due	network.due	NOUN
cana-1655	22	21	to	to	ADP
cana-1655	22	22	the	the	DET
cana-1655	22	23	presence	presence	NOUN
cana-1655	22	24	of	of	ADP
cana-1655	22	25	uncertainty	uncertainty	NOUN
cana-1655	22	26	and	and	CCONJ
cana-1655	22	27	vagueness	vagueness	NOUN
cana-1655	22	28	of	of	ADP
cana-1655	22	29	the	the	DET
cana-1655	22	30	various	various	ADJ
cana-1655	22	31	time	time	NOUN
cana-1655	22	32	parameters	parameter	NOUN
cana-1655	22	33	in	in	ADP
cana-1655	22	34	the	the	DET
cana-1655	22	35	network	network	NOUN
cana-1655	22	36	,	,	PUNCT
cana-1655	22	37	which	which	PRON
cana-1655	22	38	leads	lead	VERB
cana-1655	22	39	us	we	PRON
cana-1655	22	40	to	to	PART
cana-1655	22	41	study	study	VERB
cana-1655	22	42	of	of	ADP
cana-1655	22	43	fuzzy	fuzzy	ADJ
cana-1655	22	44	cpm	cpm	PROPN
cana-1655	22	45	for	for	ADP
cana-1655	22	46	the	the	DET
cana-1655	22	47	past	past	ADJ
cana-1655	22	48	one	one	NUM
cana-1655	22	49	and	and	CCONJ
cana-1655	22	50	half	half	ADJ
cana-1655	22	51	decade	decade	NOUN
cana-1655	22	52	.	.	PUNCT
cana-1655	23	1	the	the	DET
cana-1655	23	2	vagueness	vagueness	NOUN
cana-1655	23	3	that	that	PRON
cana-1655	23	4	occur	occur	VERB
cana-1655	23	5	in	in	ADP
cana-1655	23	6	the	the	DET
cana-1655	23	7	network	network	NOUN
cana-1655	23	8	problem	problem	NOUN
cana-1655	23	9	that	that	PRON
cana-1655	23	10	can	can	AUX
cana-1655	23	11	be	be	AUX
cana-1655	23	12	easily	easily	ADV
cana-1655	23	13	overcome	overcome	VERB
cana-1655	23	14	by	by	ADP
cana-1655	23	15	fuzzy	fuzzy	ADJ
cana-1655	23	16	cpm	cpm	PROPN
cana-1655	23	17	.	.	PUNCT
cana-1655	24	1	in	in	ADP
cana-1655	24	2	[	[	X
cana-1655	24	3	1	1	NUM
cana-1655	24	4	]	]	PUNCT
cana-1655	24	5	authors	author	NOUN
cana-1655	24	6	introduced	introduce	VERB
cana-1655	24	7	the	the	DET
cana-1655	24	8	concept	concept	NOUN
cana-1655	24	9	of	of	ADP
cana-1655	24	10	pert	pert	NOUN
cana-1655	24	11	using	use	VERB
cana-1655	24	12	fuzzy	fuzzy	ADJ
cana-1655	24	13	number	number	NOUN
cana-1655	24	14	to	to	ADP
cana-1655	24	15	communications	communication	NOUN
cana-1655	24	16	on	on	ADP
cana-1655	24	17	applied	apply	VERB
cana-1655	24	18	nonlinear	nonlinear	ADJ
cana-1655	24	19	analysis	analysis	NOUN
cana-1655	24	20	issn	issn	NOUN
cana-1655	24	21	:	:	PUNCT
cana-1655	24	22	1074	1074	NUM
cana-1655	24	23	-	-	PUNCT
cana-1655	24	24	133x	133x	NUM
cana-1655	24	25	vol	vol	NOUN
cana-1655	24	26	32	32	NUM
cana-1655	24	27	no	no	NOUN
cana-1655	24	28	.	.	NOUN
cana-1655	24	29	1	1	NUM
cana-1655	24	30	(	(	PUNCT
cana-1655	24	31	2025	2025	NUM
cana-1655	24	32	)	)	PUNCT
cana-1655	24	33	345	345	NUM
cana-1655	24	34	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	24	35	represent	represent	VERB
cana-1655	24	36	activity	activity	NOUN
cana-1655	24	37	duration	duration	NOUN
cana-1655	24	38	in	in	ADP
cana-1655	24	39	the	the	DET
cana-1655	24	40	project	project	NOUN
cana-1655	24	41	network	network	NOUN
cana-1655	24	42	.	.	PUNCT
cana-1655	25	1	in	in	ADP
cana-1655	25	2	[	[	X
cana-1655	25	3	2	2	NUM
cana-1655	25	4	]	]	X
cana-1655	25	5	mon	mon	PROPN
cana-1655	25	6	and	and	CCONJ
cana-1655	25	7	cheng	cheng	PROPN
cana-1655	25	8	,	,	PUNCT
cana-1655	25	9	introduced	introduce	VERB
cana-1655	25	10	the	the	DET
cana-1655	25	11	concept	concept	NOUN
cana-1655	25	12	of	of	ADP
cana-1655	25	13	alphacut	alphacut	VERB
cana-1655	25	14	for	for	ADP
cana-1655	25	15	fuzzy	fuzzy	ADJ
cana-1655	25	16	duration	duration	NOUN
cana-1655	25	17	they	they	PRON
cana-1655	25	18	occured	occur	VERB
cana-1655	25	19	as	as	ADP
cana-1655	25	20	a	a	DET
cana-1655	25	21	linear	linear	ADJ
cana-1655	25	22	combination	combination	NOUN
cana-1655	25	23	which	which	PRON
cana-1655	25	24	leads	lead	VERB
cana-1655	25	25	the	the	DET
cana-1655	25	26	operation	operation	NOUN
cana-1655	25	27	time	time	NOUN
cana-1655	25	28	of	of	ADP
cana-1655	25	29	each	each	DET
cana-1655	25	30	activity	activity	NOUN
cana-1655	25	31	and	and	CCONJ
cana-1655	25	32	to	to	PART
cana-1655	25	33	determine	determine	VERB
cana-1655	25	34	the	the	DET
cana-1655	25	35	critical	critical	ADJ
cana-1655	25	36	activities	activity	NOUN
cana-1655	25	37	and	and	CCONJ
cana-1655	25	38	critical	critical	ADJ
cana-1655	25	39	paths	path	NOUN
cana-1655	25	40	by	by	ADP
cana-1655	25	41	using	use	VERB
cana-1655	25	42	standard	standard	ADJ
cana-1655	25	43	pert	pert	ADJ
cana-1655	25	44	technique	technique	NOUN
cana-1655	25	45	.	.	PUNCT
cana-1655	26	1	based	base	VERB
cana-1655	26	2	on	on	ADP
cana-1655	26	3	the	the	DET
cana-1655	26	4	various	various	ADJ
cana-1655	26	5	alpha	alpha	NOUN
cana-1655	26	6	values	value	NOUN
cana-1655	26	7	several	several	ADJ
cana-1655	26	8	critical	critical	ADJ
cana-1655	26	9	activities	activity	NOUN
cana-1655	26	10	with	with	ADP
cana-1655	26	11	different	different	ADJ
cana-1655	26	12	paths	path	NOUN
cana-1655	26	13	are	be	AUX
cana-1655	26	14	explored	explore	VERB
cana-1655	26	15	.	.	PUNCT
cana-1655	27	1	later	later	ADV
cana-1655	27	2	in	in	ADP
cana-1655	27	3	[	[	X
cana-1655	27	4	3]colleny	3]colleny	NUM
cana-1655	27	5	et	et	NOUN
cana-1655	27	6	al	al	PROPN
cana-1655	27	7	.	.	PROPN
cana-1655	27	8	directed	direct	VERB
cana-1655	27	9	a	a	DET
cana-1655	27	10	straight	straight	ADJ
cana-1655	27	11	forword	forword	NOUN
cana-1655	27	12	method	method	NOUN
cana-1655	27	13	for	for	ADP
cana-1655	27	14	applying	apply	VERB
cana-1655	27	15	fuzzy	fuzzy	ADJ
cana-1655	27	16	logic	logic	NOUN
cana-1655	27	17	to	to	PART
cana-1655	27	18	examine	examine	VERB
cana-1655	27	19	uncertainty	uncertainty	NOUN
cana-1655	27	20	in	in	ADP
cana-1655	27	21	prevailing	prevail	VERB
cana-1655	27	22	in	in	ADP
cana-1655	27	23	the	the	DET
cana-1655	27	24	critical	critical	ADJ
cana-1655	27	25	path	path	NOUN
cana-1655	27	26	analysis	analysis	NOUN
cana-1655	27	27	.	.	PUNCT
cana-1655	28	1	later	later	ADV
cana-1655	28	2	in	in	ADP
cana-1655	28	3	[	[	X
cana-1655	28	4	4	4	NUM
cana-1655	28	5	]	]	X
cana-1655	28	6	zielinski	zielinski	PROPN
cana-1655	28	7	et	et	PROPN
cana-1655	28	8	al	al	PROPN
cana-1655	28	9	assumes	assume	VERB
cana-1655	28	10	that	that	SCONJ
cana-1655	28	11	the	the	DET
cana-1655	28	12	crisp	crisp	ADJ
cana-1655	28	13	value	value	NOUN
cana-1655	28	14	or	or	CCONJ
cana-1655	28	15	fuzzy	fuzzy	ADJ
cana-1655	28	16	number	number	NOUN
cana-1655	28	17	to	to	PART
cana-1655	28	18	determine	determine	VERB
cana-1655	28	19	the	the	DET
cana-1655	28	20	complexity	complexity	NOUN
cana-1655	28	21	of	of	ADP
cana-1655	28	22	criticallity	criticallity	NOUN
cana-1655	28	23	.	.	PUNCT
cana-1655	29	1	huang	huang	PROPN
cana-1655	29	2	et	et	PROPN
cana-1655	29	3	al	al	PROPN
cana-1655	30	1	[	[	X
cana-1655	30	2	5	5	NUM
cana-1655	30	3	]	]	PUNCT
cana-1655	30	4	,	,	PUNCT
cana-1655	30	5	proposed	propose	VERB
cana-1655	30	6	a	a	DET
cana-1655	30	7	new	new	ADJ
cana-1655	30	8	method	method	NOUN
cana-1655	30	9	which	which	PRON
cana-1655	30	10	combines	combine	VERB
cana-1655	30	11	fuzzy	fuzzy	ADJ
cana-1655	30	12	set	set	NOUN
cana-1655	30	13	theory	theory	NOUN
cana-1655	30	14	along	along	ADP
cana-1655	30	15	with	with	ADP
cana-1655	30	16	the	the	DET
cana-1655	30	17	combination	combination	NOUN
cana-1655	30	18	of	of	ADP
cana-1655	30	19	pert	pert	ADJ
cana-1655	30	20	techniques	technique	NOUN
cana-1655	30	21	to	to	PART
cana-1655	30	22	determine	determine	VERB
cana-1655	30	23	the	the	DET
cana-1655	30	24	critical	critical	ADJ
cana-1655	30	25	degrees	degree	NOUN
cana-1655	30	26	of	of	ADP
cana-1655	30	27	activities	activity	NOUN
cana-1655	30	28	and	and	CCONJ
cana-1655	30	29	paths	path	NOUN
cana-1655	30	30	,	,	PUNCT
cana-1655	30	31	latest	late	ADJ
cana-1655	30	32	and	and	CCONJ
cana-1655	30	33	earliest	early	ADJ
cana-1655	30	34	starting	starting	NOUN
cana-1655	30	35	time	time	NOUN
cana-1655	30	36	and	and	CCONJ
cana-1655	30	37	floats	float	NOUN
cana-1655	30	38	.	.	PUNCT
cana-1655	31	1	eventually	eventually	ADV
cana-1655	31	2	the	the	DET
cana-1655	31	3	combination	combination	NOUN
cana-1655	31	4	of	of	ADP
cana-1655	31	5	fuzzy	fuzzy	ADJ
cana-1655	31	6	with	with	ADP
cana-1655	31	7	pert	pert	ADJ
cana-1655	31	8	techniques	technique	NOUN
cana-1655	31	9	has	have	AUX
cana-1655	31	10	been	be	AUX
cana-1655	31	11	emerged	emerge	VERB
cana-1655	31	12	with	with	ADP
cana-1655	31	13	the	the	DET
cana-1655	31	14	combination	combination	NOUN
cana-1655	31	15	of	of	ADP
cana-1655	31	16	new	new	ADJ
cana-1655	31	17	algorithms	algorithm	NOUN
cana-1655	31	18	for	for	ADP
cana-1655	31	19	finding	find	VERB
cana-1655	31	20	cpm	cpm	PROPN
cana-1655	31	21	attracted	attract	VERB
cana-1655	31	22	many	many	ADJ
cana-1655	31	23	researchers	researcher	NOUN
cana-1655	31	24	for	for	ADP
cana-1655	31	25	last	last	ADJ
cana-1655	31	26	five	five	NUM
cana-1655	31	27	years	year	NOUN
cana-1655	31	28	.	.	PUNCT
cana-1655	32	1	in	in	ADP
cana-1655	32	2	[	[	X
cana-1655	32	3	6]ghoseri	6]ghoseri	NUM
cana-1655	32	4	and	and	CCONJ
cana-1655	32	5	moghadam	moghadam	PROPN
cana-1655	32	6	initiated	initiate	VERB
cana-1655	32	7	an	an	DET
cana-1655	32	8	algorithm	algorithm	NOUN
cana-1655	32	9	to	to	PART
cana-1655	32	10	determine	determine	VERB
cana-1655	32	11	the	the	DET
cana-1655	32	12	critical	critical	ADJ
cana-1655	32	13	path	path	NOUN
cana-1655	32	14	by	by	ADP
cana-1655	32	15	the	the	DET
cana-1655	32	16	use	use	NOUN
cana-1655	32	17	of	of	ADP
cana-1655	32	18	fuzzy	fuzzy	ADJ
cana-1655	32	19	sets	set	NOUN
cana-1655	32	20	,	,	PUNCT
cana-1655	32	21	pert	pert	ADJ
cana-1655	32	22	techniques	technique	NOUN
cana-1655	32	23	and	and	CCONJ
cana-1655	32	24	bellmann	bellmann	NOUN
cana-1655	32	25	algorithm	algorithm	NOUN
cana-1655	32	26	to	to	PART
cana-1655	32	27	specify	specify	VERB
cana-1655	32	28	the	the	DET
cana-1655	32	29	critical	critical	ADJ
cana-1655	32	30	path	path	NOUN
cana-1655	32	31	and	and	CCONJ
cana-1655	32	32	fuzzy	fuzzy	ADJ
cana-1655	32	33	earliest	early	ADJ
cana-1655	32	34	and	and	CCONJ
cana-1655	32	35	latest	late	ADJ
cana-1655	32	36	starting	starting	NOUN
cana-1655	32	37	time	time	NOUN
cana-1655	32	38	and	and	CCONJ
cana-1655	32	39	floats	float	NOUN
cana-1655	32	40	of	of	ADP
cana-1655	32	41	activities	activity	NOUN
cana-1655	32	42	in	in	ADP
cana-1655	32	43	the	the	DET
cana-1655	32	44	continuous	continuous	ADJ
cana-1655	32	45	fuzzy	fuzzy	ADJ
cana-1655	32	46	network	network	NOUN
cana-1655	32	47	.	.	PUNCT
cana-1655	33	1	thus	thus	ADV
cana-1655	33	2	several	several	ADJ
cana-1655	33	3	research	research	NOUN
cana-1655	33	4	articles	article	NOUN
cana-1655	33	5	are	be	AUX
cana-1655	33	6	published	publish	VERB
cana-1655	33	7	in	in	ADP
cana-1655	33	8	fuzzy	fuzzy	ADJ
cana-1655	33	9	critical	critical	ADJ
cana-1655	33	10	activities	activity	NOUN
cana-1655	33	11	using	use	VERB
cana-1655	33	12	above	above	ADV
cana-1655	33	13	mentioned	mention	VERB
cana-1655	33	14	methods	method	NOUN
cana-1655	33	15	[	[	X
cana-1655	33	16	7,8,9,10	7,8,9,10	NUM
cana-1655	33	17	]	]	X
cana-1655	33	18	.	.	PUNCT
cana-1655	34	1	elizabeth	elizabeth	PROPN
cana-1655	34	2	et	et	PROPN
cana-1655	34	3	al	al	PROPN
cana-1655	35	1	[	[	X
cana-1655	35	2	11,12	11,12	NOUN
cana-1655	35	3	]	]	PUNCT
cana-1655	35	4	introduced	introduce	VERB
cana-1655	35	5	a	a	DET
cana-1655	35	6	method	method	NOUN
cana-1655	35	7	for	for	ADP
cana-1655	35	8	finding	find	VERB
cana-1655	35	9	fuzzy	fuzzy	ADJ
cana-1655	35	10	critical	critical	ADJ
cana-1655	35	11	path	path	NOUN
cana-1655	35	12	using	use	VERB
cana-1655	35	13	ranking	rank	VERB
cana-1655	35	14	method	method	NOUN
cana-1655	35	15	.	.	PUNCT
cana-1655	36	1	although	although	SCONJ
cana-1655	36	2	there	there	PRON
cana-1655	36	3	are	be	VERB
cana-1655	36	4	several	several	ADJ
cana-1655	36	5	mechanism	mechanism	NOUN
cana-1655	36	6	existed	exist	VERB
cana-1655	36	7	in	in	ADP
cana-1655	36	8	literature	literature	NOUN
cana-1655	36	9	for	for	ADP
cana-1655	36	10	finding	find	VERB
cana-1655	36	11	the	the	DET
cana-1655	36	12	critical	critical	ADJ
cana-1655	36	13	path	path	NOUN
cana-1655	36	14	distance	distance	NOUN
cana-1655	36	15	,	,	PUNCT
cana-1655	36	16	if	if	SCONJ
cana-1655	36	17	the	the	DET
cana-1655	36	18	network	network	NOUN
cana-1655	36	19	is	be	AUX
cana-1655	36	20	complex	complex	ADJ
cana-1655	36	21	in	in	ADP
cana-1655	36	22	nature	nature	NOUN
cana-1655	36	23	then	then	ADV
cana-1655	36	24	it	it	PRON
cana-1655	36	25	is	be	AUX
cana-1655	36	26	tedious	tedious	ADJ
cana-1655	36	27	to	to	PART
cana-1655	36	28	get	get	VERB
cana-1655	36	29	the	the	DET
cana-1655	36	30	critical	critical	ADJ
cana-1655	36	31	path	path	NOUN
cana-1655	36	32	by	by	ADP
cana-1655	36	33	the	the	DET
cana-1655	36	34	problem	problem	NOUN
cana-1655	36	35	in	in	ADP
cana-1655	36	36	the	the	DET
cana-1655	36	37	comparing	compare	VERB
cana-1655	36	38	all	all	DET
cana-1655	36	39	the	the	DET
cana-1655	36	40	possible	possible	ADJ
cana-1655	36	41	paths.the	paths.the	DET
cana-1655	36	42	main	main	ADJ
cana-1655	36	43	problem	problem	NOUN
cana-1655	36	44	is	be	AUX
cana-1655	36	45	the	the	DET
cana-1655	36	46	comparison	comparison	NOUN
cana-1655	36	47	between	between	ADP
cana-1655	36	48	fuzzy	fuzzy	ADJ
cana-1655	36	49	number	number	NOUN
cana-1655	36	50	which	which	PRON
cana-1655	36	51	corresponds	correspond	VERB
cana-1655	36	52	to	to	ADP
cana-1655	36	53	a	a	DET
cana-1655	36	54	fuzzy	fuzzy	ADJ
cana-1655	36	55	path	path	NOUN
cana-1655	36	56	.	.	PUNCT
cana-1655	37	1	it	it	PRON
cana-1655	37	2	should	should	AUX
cana-1655	37	3	be	be	AUX
cana-1655	37	4	taken	take	VERB
cana-1655	37	5	into	into	ADP
cana-1655	37	6	account	account	NOUN
cana-1655	37	7	that	that	SCONJ
cana-1655	37	8	most	most	ADJ
cana-1655	37	9	of	of	ADP
cana-1655	37	10	the	the	DET
cana-1655	37	11	existing	exist	VERB
cana-1655	37	12	methods	method	NOUN
cana-1655	37	13	gives	give	VERB
cana-1655	37	14	different	different	ADJ
cana-1655	37	15	values	value	NOUN
cana-1655	37	16	for	for	ADP
cana-1655	37	17	different	different	ADJ
cana-1655	37	18	alpha	alpha	NOUN
cana-1655	37	19	-cut	-cut	VERB
cana-1655	37	20	method	method	NOUN
cana-1655	37	21	.	.	PUNCT
cana-1655	38	1	moreover	moreover	ADV
cana-1655	38	2	the	the	DET
cana-1655	38	3	results	result	NOUN
cana-1655	38	4	are	be	AUX
cana-1655	38	5	not	not	PART
cana-1655	38	6	comparable	comparable	ADJ
cana-1655	38	7	with	with	ADP
cana-1655	38	8	the	the	DET
cana-1655	38	9	previous	previous	ADJ
cana-1655	38	10	method	method	NOUN
cana-1655	38	11	.	.	PUNCT
cana-1655	39	1	in	in	ADP
cana-1655	39	2	this	this	DET
cana-1655	39	3	paper	paper	NOUN
cana-1655	39	4	to	to	PART
cana-1655	39	5	overcome	overcome	VERB
cana-1655	39	6	the	the	DET
cana-1655	39	7	above	above	ADJ
cana-1655	39	8	difficulties	difficulty	NOUN
cana-1655	39	9	we	we	PRON
cana-1655	39	10	are	be	AUX
cana-1655	39	11	introduced	introduce	VERB
cana-1655	39	12	a	a	DET
cana-1655	39	13	new	new	ADJ
cana-1655	39	14	concept	concept	NOUN
cana-1655	39	15	based	base	VERB
cana-1655	39	16	on	on	ADP
cana-1655	39	17	the	the	DET
cana-1655	39	18	wavelet	wavelet	NOUN
cana-1655	39	19	analysis	analysis	NOUN
cana-1655	39	20	.	.	PUNCT
cana-1655	40	1	wavelet	wavelet	NOUN
cana-1655	40	2	analysis	analysis	NOUN
cana-1655	40	3	is	be	AUX
cana-1655	40	4	analogue	analogue	NOUN
cana-1655	40	5	the	the	DET
cana-1655	40	6	fourier	fourier	ADJ
cana-1655	40	7	analysis	analysis	NOUN
cana-1655	40	8	which	which	PRON
cana-1655	40	9	allows	allow	VERB
cana-1655	40	10	a	a	DET
cana-1655	40	11	function	function	NOUN
cana-1655	40	12	over	over	ADP
cana-1655	40	13	an	an	DET
cana-1655	40	14	interval	interval	NOUN
cana-1655	40	15	may	may	AUX
cana-1655	40	16	be	be	AUX
cana-1655	40	17	expressed	express	VERB
cana-1655	40	18	as	as	ADP
cana-1655	40	19	orthonormal	orthonormal	ADJ
cana-1655	40	20	basis	basis	NOUN
cana-1655	40	21	.	.	PUNCT
cana-1655	41	1	alfred	alfred	PROPN
cana-1655	41	2	haar	haar	PROPN
cana-1655	41	3	in	in	ADP
cana-1655	41	4	1909	1909	NUM
cana-1655	41	5	constructed	construct	VERB
cana-1655	41	6	an	an	DET
cana-1655	41	7	orthonormal	orthonormal	ADJ
cana-1655	41	8	basis	basis	NOUN
cana-1655	41	9	using	use	VERB
cana-1655	41	10	the	the	DET
cana-1655	41	11	piecewise	piecewise	NOUN
cana-1655	41	12	continuous	continuous	ADJ
cana-1655	41	13	function	function	NOUN
cana-1655	41	14	.	.	PUNCT
cana-1655	42	1	later	later	ADV
cana-1655	42	2	this	this	DET
cana-1655	42	3	basic	basic	ADJ
cana-1655	42	4	function	function	NOUN
cana-1655	42	5	termed	term	VERB
cana-1655	42	6	as	as	ADP
cana-1655	42	7	haar	haar	PROPN
cana-1655	42	8	wavelet	wavelet	NOUN
cana-1655	42	9	basis	basis	NOUN
cana-1655	42	10	.	.	PUNCT
cana-1655	43	1	using	use	VERB
cana-1655	43	2	this	this	DET
cana-1655	43	3	idea	idea	NOUN
cana-1655	43	4	dhanasekar	dhanasekar	NOUN
cana-1655	43	5	[	[	X
cana-1655	43	6	13,14	13,14	NUM
cana-1655	43	7	]	]	PUNCT
cana-1655	43	8	proposed	propose	VERB
cana-1655	43	9	haar	haar	PROPN
cana-1655	43	10	critical	critical	ADJ
cana-1655	43	11	path	path	NOUN
cana-1655	43	12	technique	technique	NOUN
cana-1655	43	13	,	,	PUNCT
cana-1655	43	14	which	which	PRON
cana-1655	43	15	involes	invole	VERB
cana-1655	43	16	converting	convert	VERB
cana-1655	43	17	triangular	triangular	NOUN
cana-1655	43	18	fuzzy	fuzzy	ADJ
cana-1655	43	19	integers	integer	NOUN
cana-1655	43	20	in	in	ADP
cana-1655	43	21	to	to	PART
cana-1655	43	22	haar	haar	PROPN
cana-1655	43	23	tuples	tuples	PROPN
cana-1655	43	24	using	use	VERB
cana-1655	43	25	the	the	DET
cana-1655	43	26	haar	haar	PROPN
cana-1655	43	27	wavelet	wavelet	PROPN
cana-1655	43	28	principle	principle	PROPN
cana-1655	43	29	.	.	PUNCT
cana-1655	44	1	later	later	PROPN
cana-1655	44	2	s.	s.	PROPN
cana-1655	44	3	josh	josh	PROPN
cana-1655	44	4	et	et	PROPN
cana-1655	44	5	al	al	PROPN
cana-1655	44	6	.	.	PROPN
cana-1655	44	7	,[15,16	,[15,16	PUNCT
cana-1655	44	8	]	]	PUNCT
cana-1655	44	9	presented	present	VERB
cana-1655	44	10	haar	haar	PROPN
cana-1655	44	11	tuples	tuples	PROPN
cana-1655	44	12	using	use	VERB
cana-1655	44	13	the	the	DET
cana-1655	44	14	haar	haar	NOUN
cana-1655	44	15	ranking	rank	VERB
cana-1655	44	16	system	system	NOUN
cana-1655	44	17	for	for	ADP
cana-1655	44	18	solving	solve	VERB
cana-1655	44	19	assignment	assignment	NOUN
cana-1655	44	20	problems	problem	NOUN
cana-1655	44	21	which	which	PRON
cana-1655	44	22	involves	involve	VERB
cana-1655	44	23	transforming	transform	VERB
cana-1655	44	24	heptagonal	heptagonal	ADJ
cana-1655	44	25	fuzzy	fuzzy	ADJ
cana-1655	44	26	number	number	NOUN
cana-1655	44	27	into	into	ADP
cana-1655	44	28	haar	haar	NOUN
cana-1655	44	29	tuples	tuple	NOUN
cana-1655	44	30	by	by	ADP
cana-1655	44	31	using	use	VERB
cana-1655	44	32	haar	haar	PROPN
cana-1655	44	33	wavelet	wavelet	NOUN
cana-1655	44	34	principles	principle	NOUN
cana-1655	44	35	.	.	PUNCT
cana-1655	45	1	a	a	DET
cana-1655	45	2	path	path	NOUN
cana-1655	45	3	through	through	ADP
cana-1655	45	4	the	the	DET
cana-1655	45	5	network	network	NOUN
cana-1655	45	6	is	be	AUX
cana-1655	45	7	one	one	NUM
cana-1655	45	8	of	of	ADP
cana-1655	45	9	the	the	DET
cana-1655	45	10	ways	way	NOUN
cana-1655	45	11	in	in	ADP
cana-1655	45	12	a	a	DET
cana-1655	45	13	project	project	NOUN
cana-1655	45	14	network	network	NOUN
cana-1655	45	15	from	from	ADP
cana-1655	45	16	the	the	DET
cana-1655	45	17	star	star	NOUN
cana-1655	45	18	point	point	NOUN
cana-1655	45	19	to	to	ADP
cana-1655	45	20	the	the	DET
cana-1655	45	21	completion	completion	NOUN
cana-1655	45	22	point	point	NOUN
cana-1655	45	23	.	.	PUNCT
cana-1655	46	1	according	accord	VERB
cana-1655	46	2	to	to	ADP
cana-1655	46	3	the	the	DET
cana-1655	46	4	critical	critical	ADJ
cana-1655	46	5	path	path	NOUN
cana-1655	46	6	,	,	PUNCT
cana-1655	46	7	the	the	DET
cana-1655	46	8	length	length	NOUN
cana-1655	46	9	of	of	ADP
cana-1655	46	10	a	a	DET
cana-1655	46	11	path	path	NOUN
cana-1655	46	12	is	be	AUX
cana-1655	46	13	equal	equal	ADJ
cana-1655	46	14	to	to	ADP
cana-1655	46	15	the	the	DET
cana-1655	46	16	total	total	ADJ
cana-1655	46	17	durations	duration	NOUN
cana-1655	46	18	of	of	ADP
cana-1655	46	19	the	the	DET
cana-1655	46	20	activities	activity	NOUN
cana-1655	46	21	of	of	ADP
cana-1655	46	22	the	the	DET
cana-1655	46	23	path	path	NOUN
cana-1655	46	24	.	.	PUNCT
cana-1655	47	1	this	this	DET
cana-1655	47	2	research	research	NOUN
cana-1655	47	3	paper	paper	NOUN
cana-1655	47	4	is	be	AUX
cana-1655	47	5	organized	organize	VERB
cana-1655	47	6	as	as	SCONJ
cana-1655	47	7	follows	follow	VERB
cana-1655	47	8	.	.	PUNCT
cana-1655	48	1	in	in	ADP
cana-1655	48	2	section	section	NOUN
cana-1655	48	3	2	2	NUM
cana-1655	48	4	,	,	PUNCT
cana-1655	48	5	some	some	DET
cana-1655	48	6	fundamental	fundamental	ADJ
cana-1655	48	7	concepts	concept	NOUN
cana-1655	48	8	and	and	CCONJ
cana-1655	48	9	definition	definition	NOUN
cana-1655	48	10	are	be	AUX
cana-1655	48	11	given	give	VERB
cana-1655	48	12	for	for	ADP
cana-1655	48	13	fuzzy	fuzzy	ADJ
cana-1655	48	14	sets	set	NOUN
cana-1655	48	15	.	.	PUNCT
cana-1655	49	1	in	in	ADP
cana-1655	49	2	section	section	NOUN
cana-1655	49	3	3	3	NUM
cana-1655	49	4	haar	haar	X
cana-1655	49	5	ranking	ranking	NOUN
cana-1655	49	6	method	method	NOUN
cana-1655	49	7	for	for	ADP
cana-1655	49	8	octagonal	octagonal	ADJ
cana-1655	49	9	fuzzy	fuzzy	ADJ
cana-1655	49	10	number	number	NOUN
cana-1655	49	11	has	have	AUX
cana-1655	49	12	been	be	AUX
cana-1655	49	13	introduced	introduce	VERB
cana-1655	49	14	and	and	CCONJ
cana-1655	49	15	is	be	AUX
cana-1655	49	16	section	section	NOUN
cana-1655	49	17	4	4	NUM
cana-1655	49	18	floyd	floyd	PROPN
cana-1655	49	19	warshall	warshall	PROPN
cana-1655	49	20	algorithm	algorithm	PROPN
cana-1655	49	21	has	have	AUX
cana-1655	49	22	been	be	AUX
cana-1655	49	23	discussed	discuss	VERB
cana-1655	49	24	.	.	PUNCT
cana-1655	50	1	in	in	ADP
cana-1655	50	2	section	section	NOUN
cana-1655	50	3	5	5	NUM
cana-1655	50	4	a	a	DET
cana-1655	50	5	proposed	propose	VERB
cana-1655	50	6	method	method	NOUN
cana-1655	50	7	for	for	ADP
cana-1655	50	8	finding	find	VERB
cana-1655	50	9	a	a	DET
cana-1655	50	10	critical	critical	ADJ
cana-1655	50	11	path	path	NOUN
cana-1655	50	12	has	have	AUX
cana-1655	50	13	been	be	AUX
cana-1655	50	14	discussed	discuss	VERB
cana-1655	50	15	.	.	PUNCT
cana-1655	51	1	in	in	ADP
cana-1655	51	2	section	section	NOUN
cana-1655	51	3	6	6	NUM
cana-1655	51	4	two	two	NUM
cana-1655	51	5	numerical	numerical	ADJ
cana-1655	51	6	examples	example	NOUN
cana-1655	51	7	are	be	AUX
cana-1655	51	8	demonstrated	demonstrate	VERB
cana-1655	51	9	to	to	PART
cana-1655	51	10	validate	validate	VERB
cana-1655	51	11	the	the	DET
cana-1655	51	12	proposed	propose	VERB
cana-1655	51	13	method	method	NOUN
cana-1655	51	14	.	.	PUNCT
cana-1655	52	1	in	in	ADP
cana-1655	52	2	section	section	NOUN
cana-1655	52	3	7	7	NUM
cana-1655	52	4	conclusion	conclusion	NOUN
cana-1655	52	5	of	of	ADP
cana-1655	52	6	the	the	DET
cana-1655	52	7	problem	problem	NOUN
cana-1655	52	8	are	be	AUX
cana-1655	52	9	discussed	discuss	VERB
cana-1655	52	10	.	.	PUNCT
cana-1655	53	1	communications	communication	NOUN
cana-1655	53	2	on	on	ADP
cana-1655	53	3	applied	apply	VERB
cana-1655	53	4	nonlinear	nonlinear	ADJ
cana-1655	53	5	analysis	analysis	NOUN
cana-1655	53	6	issn	issn	NOUN
cana-1655	53	7	:	:	PUNCT
cana-1655	53	8	1074	1074	NUM
cana-1655	53	9	-	-	PUNCT
cana-1655	53	10	133x	133x	NUM
cana-1655	53	11	vol	vol	NOUN
cana-1655	53	12	32	32	NUM
cana-1655	53	13	no	no	NOUN
cana-1655	53	14	.	.	NOUN
cana-1655	53	15	1	1	NUM
cana-1655	53	16	(	(	PUNCT
cana-1655	53	17	2025	2025	NUM
cana-1655	53	18	)	)	PUNCT
cana-1655	53	19	346	346	NUM
cana-1655	53	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	53	21	2	2	NUM
cana-1655	53	22	.	.	X
cana-1655	53	23	objectives	objective	NOUN
cana-1655	53	24	this	this	DET
cana-1655	53	25	section	section	NOUN
cana-1655	53	26	provides	provide	VERB
cana-1655	53	27	with	with	ADP
cana-1655	53	28	basic	basic	ADJ
cana-1655	53	29	definitions	definition	NOUN
cana-1655	53	30	of	of	ADP
cana-1655	53	31	fuzzy	fuzzy	ADJ
cana-1655	53	32	set	set	NOUN
cana-1655	53	33	and	and	CCONJ
cana-1655	54	1	its	its	PRON
cana-1655	54	2	related	related	ADJ
cana-1655	54	3	topics	topic	NOUN
cana-1655	54	4	definition	definition	NOUN
cana-1655	54	5	2.1	2.1	NUM
cana-1655	54	6	let	let	VERB
cana-1655	54	7	y	y	PRON
cana-1655	54	8	be	be	AUX
cana-1655	54	9	a	a	DET
cana-1655	54	10	set	set	NOUN
cana-1655	54	11	.	.	PUNCT
cana-1655	55	1	a	a	DET
cana-1655	55	2	fuzzy	fuzzy	ADJ
cana-1655	55	3	set	set	VERB
cana-1655	55	4	m	m	PRON
cana-1655	55	5	on	on	ADP
cana-1655	55	6	y	y	PROPN
cana-1655	55	7	is	be	AUX
cana-1655	55	8	defined	define	VERB
cana-1655	55	9	to	to	PART
cana-1655	55	10	be	be	AUX
cana-1655	55	11	a	a	DET
cana-1655	55	12	function	function	NOUN
cana-1655	55	13	𝜇𝑀	𝜇𝑀	NOUN
cana-1655	55	14	→	→	SYM
cana-1655	56	1	[	[	X
cana-1655	56	2	0	0	NUM
cana-1655	56	3	,	,	PUNCT
cana-1655	56	4	1	1	NUM
cana-1655	56	5	]	]	PUNCT
cana-1655	56	6	is	be	AUX
cana-1655	56	7	a	a	DET
cana-1655	56	8	mapping	mapping	NOUN
cana-1655	56	9	called	call	VERB
cana-1655	56	10	the	the	DET
cana-1655	56	11	membership	membership	NOUN
cana-1655	56	12	function	function	NOUN
cana-1655	56	13	value	value	NOUN
cana-1655	56	14	of	of	ADP
cana-1655	56	15	y	y	PROPN
cana-1655	56	16	in	in	ADP
cana-1655	56	17	y	y	PROPN
cana-1655	56	18	in	in	ADP
cana-1655	56	19	a	a	DET
cana-1655	56	20	fuzzy	fuzzy	ADJ
cana-1655	56	21	set	set	VERB
cana-1655	56	22	m.	m.	NOUN
cana-1655	56	23	definition	definition	NOUN
cana-1655	56	24	2.2	2.2	NUM
cana-1655	56	25	the	the	DET
cana-1655	56	26	fuzzy	fuzzy	ADJ
cana-1655	56	27	number	number	NOUN
cana-1655	56	28	m	m	VERB
cana-1655	56	29	is	be	AUX
cana-1655	56	30	a	a	DET
cana-1655	56	31	fuzzy	fuzzy	ADJ
cana-1655	56	32	if	if	SCONJ
cana-1655	56	33	membership	membership	NOUN
cana-1655	56	34	function	function	NOUN
cana-1655	56	35	satisfies	satisfy	VERB
cana-1655	56	36	i	i	PRON
cana-1655	56	37	)	)	PUNCT
cana-1655	56	38	a	a	DET
cana-1655	56	39	fuzzy	fuzzy	ADJ
cana-1655	56	40	set	set	NOUN
cana-1655	56	41	of	of	ADP
cana-1655	56	42	the	the	DET
cana-1655	56	43	universe	universe	NOUN
cana-1655	56	44	of	of	ADP
cana-1655	56	45	discourse	discourse	PROPN
cana-1655	56	46	ii	ii	PROPN
cana-1655	56	47	)	)	PUNCT
cana-1655	57	1	m	m	VERB
cana-1655	57	2	is	be	AUX
cana-1655	57	3	normal	normal	ADJ
cana-1655	57	4	if	if	SCONJ
cana-1655	57	5	for	for	ADP
cana-1655	57	6	some	some	DET
cana-1655	57	7	y	y	PROPN
cana-1655	57	8	in	in	ADP
cana-1655	57	9	y,𝜇𝑀(𝑌	y,𝜇𝑀(𝑌	PROPN
cana-1655	57	10	)	)	PUNCT
cana-1655	58	1	=	=	SYM
cana-1655	58	2	1	1	NUM
cana-1655	58	3	iii	iii	NOUN
cana-1655	58	4	)	)	PUNCT
cana-1655	58	5	,	,	PUNCT
cana-1655	58	6	𝜇𝑀(𝑌	𝜇𝑀(𝑌	NOUN
cana-1655	58	7	)	)	PUNCT
cana-1655	58	8	is	be	AUX
cana-1655	58	9	a	a	DET
cana-1655	58	10	piecewise	piecewise	NOUN
cana-1655	58	11	continuous	continuous	ADJ
cana-1655	58	12	.	.	PUNCT
cana-1655	59	1	definition	definition	NOUN
cana-1655	59	2	2.3	2.3	NUM
cana-1655	59	3	a	a	DET
cana-1655	59	4	fuzzy	fuzzy	ADJ
cana-1655	59	5	number	number	NOUN
cana-1655	59	6	m	m	NOUN
cana-1655	59	7	is	be	AUX
cana-1655	59	8	said	say	VERB
cana-1655	59	9	to	to	PART
cana-1655	59	10	be	be	AUX
cana-1655	59	11	a	a	DET
cana-1655	59	12	normal	normal	ADJ
cana-1655	59	13	octagonal	octagonal	ADJ
cana-1655	59	14	fuzzy	fuzzy	ADJ
cana-1655	59	15	number	number	NOUN
cana-1655	59	16	denoted	denote	VERB
cana-1655	59	17	by𝜇	by𝜇	NOUN
cana-1655	59	18	which	which	PRON
cana-1655	59	19	has	have	VERB
cana-1655	59	20	[	[	X
cana-1655	59	21	m1	m1	NOUN
cana-1655	59	22	,	,	PUNCT
cana-1655	59	23	m2,m3,m4,m5	m2,m3,m4,m5	PROPN
cana-1655	59	24	,	,	PUNCT
cana-1655	59	25	m6	m6	PROPN
cana-1655	59	26	,	,	PUNCT
cana-1655	59	27	m7	m7	PROPN
cana-1655	59	28	,	,	PUNCT
cana-1655	59	29	m8,m9	m8,m9	PROPN
cana-1655	59	30	]	]	PUNCT
cana-1655	59	31	with	with	ADP
cana-1655	59	32	real	real	ADJ
cana-1655	59	33	numbers	number	NOUN
cana-1655	59	34	with	with	ADP
cana-1655	59	35	membership	membership	NOUN
cana-1655	59	36	function	function	NOUN
cana-1655	59	37	as	as	ADP
cana-1655	59	38	figure	figure	NOUN
cana-1655	59	39	1	1	NUM
cana-1655	59	40	:	:	PUNCT
cana-1655	59	41	octagonal	octagonal	ADJ
cana-1655	59	42	fuzzy	fuzzy	ADJ
cana-1655	59	43	number	number	NOUN
cana-1655	59	44	3	3	NUM
cana-1655	59	45	.	.	PUNCT
cana-1655	60	1	methods	method	NOUN
cana-1655	60	2	haar	haar	PROPN
cana-1655	60	3	ranking	rank	VERB
cana-1655	60	4	method	method	NOUN
cana-1655	60	5	for	for	ADP
cana-1655	60	6	an	an	DET
cana-1655	60	7	octagonal	octagonal	ADJ
cana-1655	60	8	fuzzy	fuzzy	ADJ
cana-1655	60	9	number	number	NOUN
cana-1655	60	10	in	in	ADP
cana-1655	60	11	this	this	DET
cana-1655	60	12	section	section	NOUN
cana-1655	60	13	,	,	PUNCT
cana-1655	60	14	we	we	PRON
cana-1655	60	15	discussed	discuss	VERB
cana-1655	60	16	with	with	ADP
cana-1655	60	17	notion	notion	NOUN
cana-1655	60	18	of	of	ADP
cana-1655	60	19	haar	haar	NOUN
cana-1655	60	20	octagonal	octagonal	ADJ
cana-1655	60	21	fuzzy	fuzzy	ADJ
cana-1655	60	22	number	number	NOUN
cana-1655	60	23	(	(	PUNCT
cana-1655	60	24	hofn	hofn	NOUN
cana-1655	60	25	)	)	PUNCT
cana-1655	60	26	and	and	CCONJ
cana-1655	60	27	their	their	PRON
cana-1655	60	28	arithmetic	arithmetic	ADJ
cana-1655	60	29	operations	operation	NOUN
cana-1655	60	30	.	.	PUNCT
cana-1655	61	1	let	let	VERB
cana-1655	61	2	us	we	PRON
cana-1655	61	3	consider	consider	VERB
cana-1655	61	4	an	an	DET
cana-1655	61	5	octagonal	octagonal	ADJ
cana-1655	61	6	fuzzy	fuzzy	ADJ
cana-1655	61	7	number	number	NOUN
cana-1655	61	8	(	(	PUNCT
cana-1655	61	9	ocfn	ocfn	NOUN
cana-1655	61	10	)	)	PUNCT
cana-1655	61	11	as	as	ADP
cana-1655	61	12	{	{	PUNCT
cana-1655	61	13	a	a	PROPN
cana-1655	61	14	,	,	PUNCT
cana-1655	61	15	b	b	NOUN
cana-1655	61	16	,	,	PUNCT
cana-1655	61	17	c	c	NOUN
cana-1655	61	18	,	,	PUNCT
cana-1655	61	19	d	d	NOUN
cana-1655	61	20	,	,	PUNCT
cana-1655	61	21	e	e	NOUN
cana-1655	61	22	,	,	PUNCT
cana-1655	61	23	f	f	PROPN
cana-1655	61	24	,	,	PUNCT
cana-1655	61	25	g	g	PROPN
cana-1655	61	26	,	,	PUNCT
cana-1655	61	27	h}.the	h}.the	ADJ
cana-1655	61	28	formula	formula	NOUN
cana-1655	61	29	for	for	ADP
cana-1655	61	30	determining	determine	VERB
cana-1655	61	31	the	the	DET
cana-1655	61	32	average	average	ADJ
cana-1655	61	33	and	and	CCONJ
cana-1655	61	34	detailed	detailed	ADJ
cana-1655	61	35	coefficients	coefficient	NOUN
cana-1655	61	36	of	of	ADP
cana-1655	61	37	the	the	DET
cana-1655	61	38	haar	haar	NOUN
cana-1655	61	39	of	of	ADP
cana-1655	61	40	octagonal	octagonal	ADJ
cana-1655	61	41	fuzzy	fuzzy	ADJ
cana-1655	61	42	number	number	NOUN
cana-1655	61	43	as	as	SCONJ
cana-1655	61	44	follows	follow	VERB
cana-1655	61	45	.	.	PUNCT
cana-1655	62	1	communications	communication	NOUN
cana-1655	62	2	on	on	ADP
cana-1655	62	3	applied	apply	VERB
cana-1655	62	4	nonlinear	nonlinear	ADJ
cana-1655	62	5	analysis	analysis	NOUN
cana-1655	62	6	issn	issn	NOUN
cana-1655	62	7	:	:	PUNCT
cana-1655	62	8	1074	1074	NUM
cana-1655	62	9	-	-	PUNCT
cana-1655	62	10	133x	133x	NUM
cana-1655	62	11	vol	vol	NOUN
cana-1655	62	12	32	32	NUM
cana-1655	62	13	no	no	NOUN
cana-1655	62	14	.	.	NOUN
cana-1655	62	15	1	1	NUM
cana-1655	62	16	(	(	PUNCT
cana-1655	62	17	2025	2025	NUM
cana-1655	62	18	)	)	PUNCT
cana-1655	62	19	347	347	NUM
cana-1655	62	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	62	21	in	in	ADP
cana-1655	62	22	this	this	DET
cana-1655	62	23	sub	sub	NOUN
cana-1655	62	24	-	-	NOUN
cana-1655	62	25	section	section	NOUN
cana-1655	62	26	given	give	VERB
cana-1655	62	27	an	an	DET
cana-1655	62	28	ocfn	ocfn	NOUN
cana-1655	62	29	we	we	PRON
cana-1655	62	30	are	be	AUX
cana-1655	62	31	converting	convert	VERB
cana-1655	62	32	it	it	PRON
cana-1655	62	33	into	into	ADP
cana-1655	62	34	an	an	DET
cana-1655	62	35	hofn	hofn	NOUN
cana-1655	62	36	using	use	VERB
cana-1655	62	37	the	the	DET
cana-1655	62	38	following	follow	VERB
cana-1655	62	39	steps	step	NOUN
cana-1655	62	40	step	step	NOUN
cana-1655	62	41	1first	1first	NUM
cana-1655	62	42	pair	pair	VERB
cana-1655	62	43	the	the	DET
cana-1655	62	44	given	give	VERB
cana-1655	62	45	ocfn	ocfn	NOUN
cana-1655	62	46	as	as	ADP
cana-1655	62	47	{	{	PUNCT
cana-1655	62	48	(	(	PUNCT
cana-1655	62	49	a	a	DET
cana-1655	62	50	,	,	PUNCT
cana-1655	62	51	b	b	NOUN
cana-1655	62	52	)	)	PUNCT
cana-1655	62	53	,	,	PUNCT
cana-1655	62	54	(	(	PUNCT
cana-1655	62	55	c	c	X
cana-1655	62	56	,	,	PUNCT
cana-1655	62	57	d	d	NOUN
cana-1655	62	58	)	)	PUNCT
cana-1655	62	59	,	,	PUNCT
cana-1655	62	60	(	(	PUNCT
cana-1655	62	61	e	e	NOUN
cana-1655	62	62	,	,	PUNCT
cana-1655	62	63	f	f	NOUN
cana-1655	62	64	)	)	PUNCT
cana-1655	62	65	,	,	PUNCT
cana-1655	62	66	(	(	PUNCT
cana-1655	62	67	g	g	NOUN
cana-1655	62	68	,	,	PUNCT
cana-1655	62	69	h	h	NOUN
cana-1655	62	70	)	)	PUNCT
cana-1655	62	71	}	}	PUNCT
cana-1655	62	72	step	step	VERB
cana-1655	62	73	2compute	2compute	NUM
cana-1655	62	74	the	the	DET
cana-1655	62	75	approximation	approximation	NOUN
cana-1655	62	76	and	and	CCONJ
cana-1655	62	77	detailed	detailed	ADJ
cana-1655	62	78	coefficients	coefficient	NOUN
cana-1655	62	79	as	as	SCONJ
cana-1655	62	80	follows	follow	VERB
cana-1655	62	81	:	:	PUNCT
cana-1655	62	82	2	2	NUM
cana-1655	62	83	a	a	DET
cana-1655	62	84	approximation	approximation	NOUN
cana-1655	62	85	coefficients	coefficient	NOUN
cana-1655	62	86	is	be	AUX
cana-1655	62	87	the	the	DET
cana-1655	62	88	average	average	NOUN
cana-1655	62	89	of	of	ADP
cana-1655	62	90	two	two	NUM
cana-1655	62	91	pair	pair	NOUN
cana-1655	62	92	of	of	ADP
cana-1655	62	93	elements	element	NOUN
cana-1655	62	94	in	in	ADP
cana-1655	62	95	ocfn	ocfn	NOUN
cana-1655	62	96	which	which	PRON
cana-1655	62	97	as	as	SCONJ
cana-1655	62	98	calculated	calculate	VERB
cana-1655	62	99	as	as	ADP
cana-1655	62	100	a1	a1	NOUN
cana-1655	62	101	=	=	SYM
cana-1655	62	102	(	(	PUNCT
cana-1655	62	103	a+b)/2	a+b)/2	PROPN
cana-1655	62	104	,	,	PUNCT
cana-1655	62	105	a2	a2	PROPN
cana-1655	62	106	=	=	PUNCT
cana-1655	62	107	(	(	PUNCT
cana-1655	62	108	c+d)/2	c+d)/2	PROPN
cana-1655	62	109	,	,	PUNCT
cana-1655	62	110	a3	a3	NOUN
cana-1655	62	111	=	=	SYM
cana-1655	62	112	(	(	PUNCT
cana-1655	62	113	e+f)/(2	e+f)/(2	PROPN
cana-1655	62	114	)	)	PUNCT
cana-1655	62	115	,	,	PUNCT
cana-1655	62	116	a4	a4	NOUN
cana-1655	62	117	=	=	SYM
cana-1655	62	118	(	(	PUNCT
cana-1655	62	119	g+h)/2	g+h)/2	PROPN
cana-1655	62	120	,	,	PUNCT
cana-1655	62	121	the	the	DET
cana-1655	62	122	calculated	calculate	VERB
cana-1655	62	123	average	average	NOUN
cana-1655	62	124	can	can	AUX
cana-1655	62	125	be	be	AUX
cana-1655	62	126	represents	represent	VERB
cana-1655	62	127	in	in	ADP
cana-1655	62	128	a	a	DET
cana-1655	62	129	set	set	NOUN
cana-1655	62	130	as	as	ADP
cana-1655	62	131	a1	a1	NOUN
cana-1655	62	132	=	=	SYM
cana-1655	62	133	(	(	PUNCT
cana-1655	62	134	a1	a1	PROPN
cana-1655	62	135	,	,	PUNCT
cana-1655	62	136	a2	a2	PROPN
cana-1655	62	137	,	,	PUNCT
cana-1655	62	138	a3	a3	NOUN
cana-1655	62	139	,	,	PUNCT
cana-1655	62	140	a4	a4	NUM
cana-1655	62	141	)	)	PUNCT
cana-1655	62	142	2b	2b	NOUN
cana-1655	62	143	]	]	PUNCT
cana-1655	62	144	calculate	calculate	VERB
cana-1655	62	145	detailed	detailed	ADJ
cana-1655	62	146	coefficients	coefficient	NOUN
cana-1655	62	147	which	which	PRON
cana-1655	62	148	is	be	AUX
cana-1655	62	149	the	the	DET
cana-1655	62	150	difference	difference	NOUN
cana-1655	62	151	average	average	NOUN
cana-1655	62	152	of	of	ADP
cana-1655	62	153	ofcn	ofcn	NOUN
cana-1655	62	154	which	which	PRON
cana-1655	62	155	can	can	AUX
cana-1655	62	156	be	be	AUX
cana-1655	62	157	calculated	calculate	VERB
cana-1655	62	158	as	as	ADP
cana-1655	62	159	d1	d1	PROPN
cana-1655	62	160	=	=	SYM
cana-1655	62	161	(	(	PUNCT
cana-1655	62	162	a	a	DET
cana-1655	62	163	-	-	PUNCT
cana-1655	62	164	b)/2	b)/2	PROPN
cana-1655	62	165	,	,	PUNCT
cana-1655	62	166	d2	d2	PROPN
cana-1655	62	167	=	=	SYM
cana-1655	62	168	(	(	PUNCT
cana-1655	62	169	c	c	X
cana-1655	62	170	-	-	PUNCT
cana-1655	62	171	d)/2	d)/2	NOUN
cana-1655	62	172	,	,	PUNCT
cana-1655	62	173	d3	d3	PROPN
cana-1655	62	174	=	=	SYM
cana-1655	62	175	(	(	PUNCT
cana-1655	62	176	e	e	NOUN
cana-1655	62	177	-	-	NOUN
cana-1655	62	178	f)/2	f)/2	PROPN
cana-1655	62	179	,	,	PUNCT
cana-1655	62	180	d4	d4	PROPN
cana-1655	62	181	=	=	SYM
cana-1655	62	182	(	(	PUNCT
cana-1655	62	183	g	g	PROPN
cana-1655	62	184	-	-	PUNCT
cana-1655	62	185	h)/2	h)/2	PROPN
cana-1655	62	186	,	,	PUNCT
cana-1655	62	187	the	the	DET
cana-1655	62	188	calculated	calculated	ADJ
cana-1655	62	189	difference	difference	NOUN
cana-1655	62	190	average	average	NOUN
cana-1655	62	191	is	be	AUX
cana-1655	62	192	represented	represent	VERB
cana-1655	62	193	in	in	ADP
cana-1655	62	194	the	the	DET
cana-1655	62	195	set	set	NOUN
cana-1655	62	196	d1	d1	NOUN
cana-1655	62	197	=	=	SYM
cana-1655	62	198	(	(	PUNCT
cana-1655	62	199	d1	d1	PROPN
cana-1655	62	200	,	,	PUNCT
cana-1655	62	201	d2	d2	PROPN
cana-1655	62	202	,	,	PUNCT
cana-1655	62	203	d3	d3	PROPN
cana-1655	62	204	,	,	PUNCT
cana-1655	62	205	d4	d4	PROPN
cana-1655	62	206	)	)	PUNCT
cana-1655	62	207	step	step	NOUN
cana-1655	62	208	3	3	NUM
cana-1655	62	209	consider	consider	VERB
cana-1655	62	210	the	the	DET
cana-1655	62	211	elements	element	NOUN
cana-1655	62	212	of	of	ADP
cana-1655	62	213	a1	a1	NOUN
cana-1655	62	214	and	and	CCONJ
cana-1655	62	215	compute	compute	VERB
cana-1655	62	216	the	the	DET
cana-1655	62	217	approximation	approximation	NOUN
cana-1655	62	218	coefficients	coefficient	NOUN
cana-1655	62	219	and	and	CCONJ
cana-1655	62	220	detailed	detailed	ADJ
cana-1655	62	221	coefficients	coefficient	NOUN
cana-1655	62	222	as	as	ADP
cana-1655	62	223	in	in	ADP
cana-1655	62	224	steps	step	NOUN
cana-1655	62	225	2a	2a	NUM
cana-1655	62	226	and	and	CCONJ
cana-1655	62	227	2b	2b	NUM
cana-1655	62	228	as	as	SCONJ
cana-1655	62	229	follows	follow	VERB
cana-1655	62	230	a1	a1	PROPN
cana-1655	62	231	1	1	NUM
cana-1655	62	232	=	=	SYM
cana-1655	62	233	(	(	PUNCT
cana-1655	62	234	a1	a1	NOUN
cana-1655	62	235	+	+	CCONJ
cana-1655	62	236	a2)/2	a2)/2	PROPN
cana-1655	62	237	,	,	PUNCT
cana-1655	62	238	a2	a2	PROPN
cana-1655	62	239	1	1	NUM
cana-1655	62	240	=	=	SYM
cana-1655	62	241	(	(	PUNCT
cana-1655	62	242	a3	a3	PROPN
cana-1655	62	243	+	+	CCONJ
cana-1655	62	244	a4)/2	a4)/2	NOUN
cana-1655	62	245	,	,	PUNCT
cana-1655	62	246	d1	d1	PROPN
cana-1655	62	247	1	1	NUM
cana-1655	62	248	=	=	SYM
cana-1655	62	249	(	(	PUNCT
cana-1655	62	250	a1	a1	NOUN
cana-1655	62	251	a2)/2,d2	a2)/2,d2	ADP
cana-1655	62	252	1	1	NUM
cana-1655	62	253	=	=	SYM
cana-1655	62	254	(	(	PUNCT
cana-1655	62	255	a3	a3	NOUN
cana-1655	62	256	a4)/2	a4)/2	NOUN
cana-1655	62	257	.represent	.represent	PUNCT
cana-1655	62	258	approximation	approximation	NOUN
cana-1655	62	259	coefficients	coefficient	NOUN
cana-1655	62	260	in	in	ADP
cana-1655	62	261	a2	a2	PROPN
cana-1655	62	262	=	=	PUNCT
cana-1655	62	263	(	(	PUNCT
cana-1655	62	264	a1	a1	PROPN
cana-1655	62	265	1	1	NUM
cana-1655	62	266	,	,	PUNCT
cana-1655	62	267	a2	a2	PROPN
cana-1655	62	268	1	1	NUM
cana-1655	62	269	)	)	PUNCT
cana-1655	62	270	and	and	CCONJ
cana-1655	62	271	similarly	similarly	ADV
cana-1655	62	272	detailed	detailed	ADJ
cana-1655	62	273	coefficients	coefficient	NOUN
cana-1655	62	274	in	in	ADP
cana-1655	62	275	d2	d2	PROPN
cana-1655	62	276	=	=	SYM
cana-1655	62	277	(	(	PUNCT
cana-1655	62	278	d1	d1	PROPN
cana-1655	62	279	1	1	NUM
cana-1655	62	280	,	,	PUNCT
cana-1655	62	281	d2	d2	PROPN
cana-1655	62	282	1	1	NUM
cana-1655	62	283	)	)	PUNCT
cana-1655	62	284	step	step	NOUN
cana-1655	62	285	4	4	NUM
cana-1655	62	286	consider	consider	VERB
cana-1655	62	287	the	the	DET
cana-1655	62	288	elements	element	NOUN
cana-1655	62	289	of	of	ADP
cana-1655	62	290	a2	a2	PROPN
cana-1655	62	291	and	and	CCONJ
cana-1655	62	292	compute	compute	VERB
cana-1655	62	293	the	the	DET
cana-1655	62	294	approximation	approximation	NOUN
cana-1655	62	295	and	and	CCONJ
cana-1655	62	296	detailed	detailed	ADJ
cana-1655	62	297	coefficients	coefficient	NOUN
cana-1655	62	298	as	as	SCONJ
cana-1655	62	299	mentioned	mention	VERB
cana-1655	62	300	above	above	ADP
cana-1655	62	301	a1	a1	NOUN
cana-1655	62	302	2	2	NUM
cana-1655	62	303	=	=	SYM
cana-1655	62	304	(	(	PUNCT
cana-1655	62	305	a1	a1	NOUN
cana-1655	62	306	1	1	NUM
cana-1655	62	307	+	+	NUM
cana-1655	62	308	a2	a2	PROPN
cana-1655	62	309	1)/2	1)/2	NUM
cana-1655	62	310	and	and	CCONJ
cana-1655	62	311	detailed	detailed	ADJ
cana-1655	62	312	coefficients	coefficient	NOUN
cana-1655	62	313	as	as	ADP
cana-1655	62	314	d1	d1	NOUN
cana-1655	62	315	2	2	NUM
cana-1655	62	316	=	=	SYM
cana-1655	62	317	(	(	PUNCT
cana-1655	62	318	a1	a1	PROPN
cana-1655	62	319	1	1	NUM
cana-1655	62	320	a2	a2	PROPN
cana-1655	62	321	1)/2	1)/2	NUM
cana-1655	62	322	step	step	VERB
cana-1655	62	323	5	5	NUM
cana-1655	62	324	thus	thus	ADV
cana-1655	62	325	the	the	DET
cana-1655	62	326	ocfn	ocfn	NOUN
cana-1655	62	327	becomes	become	VERB
cana-1655	62	328	hofn	hofn	NOUN
cana-1655	62	329	as	as	ADP
cana-1655	62	330	h	h	PROPN
cana-1655	62	331	=(	=(	NOUN
cana-1655	62	332	a1	a1	PROPN
cana-1655	62	333	2	2	NUM
cana-1655	62	334	,	,	PUNCT
cana-1655	62	335	d1	d1	PROPN
cana-1655	62	336	2	2	NUM
cana-1655	62	337	,	,	PUNCT
cana-1655	62	338	d1	d1	PROPN
cana-1655	62	339	1	1	NUM
cana-1655	62	340	,	,	PUNCT
cana-1655	62	341	d2	d2	PROPN
cana-1655	62	342	1,d1	1,d1	NUM
cana-1655	62	343	,	,	PUNCT
cana-1655	62	344	d2	d2	PROPN
cana-1655	62	345	,	,	PUNCT
cana-1655	62	346	d3	d3	PROPN
cana-1655	62	347	,	,	PUNCT
cana-1655	62	348	d4	d4	PROPN
cana-1655	62	349	)	)	PUNCT
cana-1655	62	350	step	step	NOUN
cana-1655	62	351	6	6	NUM
cana-1655	62	352	the	the	DET
cana-1655	62	353	maximum	maximum	ADJ
cana-1655	62	354	absolute	absolute	ADJ
cana-1655	62	355	value	value	NOUN
cana-1655	62	356	in	in	ADP
cana-1655	62	357	detailed	detailed	ADJ
cana-1655	62	358	coefficients	coefficient	NOUN
cana-1655	62	359	of	of	ADP
cana-1655	62	360	hofn	hofn	NOUN
cana-1655	62	361	is	be	AUX
cana-1655	62	362	the	the	DET
cana-1655	62	363	haar	haar	NOUN
cana-1655	62	364	ranking	ranking	NOUN
cana-1655	62	365	of	of	ADP
cana-1655	62	366	octagonal	octagonal	ADJ
cana-1655	62	367	fuzzy	fuzzy	ADJ
cana-1655	62	368	number	number	NOUN
cana-1655	62	369	illustration	illustration	NOUN
cana-1655	62	370	1	1	NUM
cana-1655	62	371	:	:	PUNCT
cana-1655	62	372	conversion	conversion	NOUN
cana-1655	62	373	of	of	ADP
cana-1655	62	374	octagonal	octagonal	ADJ
cana-1655	62	375	fuzzy	fuzzy	ADJ
cana-1655	62	376	number(ocfn	number(ocfn	PROPN
cana-1655	62	377	)	)	PUNCT
cana-1655	62	378	into	into	ADP
cana-1655	62	379	a	a	DET
cana-1655	62	380	haar	haar	NOUN
cana-1655	62	381	octagonal	octagonal	ADJ
cana-1655	62	382	fuzzy	fuzzy	ADJ
cana-1655	62	383	number(hofn	number(hofn	PROPN
cana-1655	62	384	)	)	PUNCT
cana-1655	62	385	.	.	PUNCT
cana-1655	63	1	consider	consider	VERB
cana-1655	63	2	a	a	DET
cana-1655	63	3	project	project	NOUN
cana-1655	63	4	network	network	NOUN
cana-1655	63	5	whose	whose	DET
cana-1655	63	6	activity	activity	NOUN
cana-1655	63	7	from	from	ADP
cana-1655	63	8	node	node	NOUN
cana-1655	63	9	1	1	NUM
cana-1655	63	10	to	to	PART
cana-1655	63	11	node	node	NOUN
cana-1655	63	12	2	2	NUM
cana-1655	63	13	represented	represent	VERB
cana-1655	63	14	by	by	ADP
cana-1655	63	15	a	a	DET
cana-1655	63	16	octagonal	octagonal	ADJ
cana-1655	63	17	fuzzy	fuzzy	ADJ
cana-1655	63	18	number	number	NOUN
cana-1655	63	19	as	as	ADP
cana-1655	63	20	=	=	PUNCT
cana-1655	63	21	(	(	PUNCT
cana-1655	63	22	4	4	NUM
cana-1655	63	23	,	,	PUNCT
cana-1655	63	24	14	14	NUM
cana-1655	63	25	,	,	PUNCT
cana-1655	63	26	18	18	NUM
cana-1655	63	27	,	,	PUNCT
cana-1655	63	28	18	18	NUM
cana-1655	63	29	,	,	PUNCT
cana-1655	63	30	12	12	NUM
cana-1655	63	31	,	,	PUNCT
cana-1655	63	32	10	10	NUM
cana-1655	63	33	,	,	PUNCT
cana-1655	63	34	6	6	NUM
cana-1655	63	35	,	,	PUNCT
cana-1655	63	36	8	8	NUM
cana-1655	63	37	)	)	PUNCT
cana-1655	63	38	by	by	ADP
cana-1655	63	39	applying	apply	VERB
cana-1655	63	40	the	the	DET
cana-1655	63	41	above	above	ADJ
cana-1655	63	42	steps	step	NOUN
cana-1655	63	43	2	2	NUM
cana-1655	63	44	to	to	PART
cana-1655	63	45	step	step	VERB
cana-1655	63	46	5	5	NUM
cana-1655	63	47	as	as	SCONJ
cana-1655	63	48	follows	follow	VERB
cana-1655	63	49	:	:	PUNCT
cana-1655	63	50	step	step	NOUN
cana-1655	63	51	2	2	NUM
cana-1655	63	52	a	a	DET
cana-1655	63	53	a1	a1	NOUN
cana-1655	63	54	=	=	PUNCT
cana-1655	63	55	(	(	PUNCT
cana-1655	63	56	4	4	NUM
cana-1655	63	57	+	+	NUM
cana-1655	63	58	14)/2	14)/2	NUM
cana-1655	63	59	,	,	PUNCT
cana-1655	63	60	(	(	PUNCT
cana-1655	63	61	18	18	NUM
cana-1655	63	62	+	+	SYM
cana-1655	63	63	18)/2	18)/2	NUM
cana-1655	63	64	,	,	PUNCT
cana-1655	63	65	(	(	PUNCT
cana-1655	63	66	12	12	NUM
cana-1655	63	67	+	+	NUM
cana-1655	63	68	10)/2	10)/2	NUM
cana-1655	63	69	,	,	PUNCT
cana-1655	63	70	(	(	PUNCT
cana-1655	63	71	6	6	NUM
cana-1655	63	72	+	+	SYM
cana-1655	63	73	8)/2	8)/2	NUM
cana-1655	63	74	=	=	SYM
cana-1655	63	75	(	(	PUNCT
cana-1655	63	76	9	9	NUM
cana-1655	63	77	,	,	PUNCT
cana-1655	63	78	18	18	NUM
cana-1655	63	79	,	,	PUNCT
cana-1655	63	80	11	11	NUM
cana-1655	63	81	,	,	PUNCT
cana-1655	63	82	7	7	X
cana-1655	63	83	)	)	PUNCT
cana-1655	63	84	step	step	NOUN
cana-1655	63	85	2	2	NUM
cana-1655	63	86	b	b	NOUN
cana-1655	63	87	d1	d1	NOUN
cana-1655	63	88	=	=	PUNCT
cana-1655	63	89	(	(	PUNCT
cana-1655	63	90	4	4	NUM
cana-1655	63	91	-	-	NUM
cana-1655	63	92	14)/2	14)/2	NUM
cana-1655	63	93	,	,	PUNCT
cana-1655	63	94	(	(	PUNCT
cana-1655	63	95	18	18	NUM
cana-1655	63	96	-	-	PUNCT
cana-1655	63	97	18)/2),(12	18)/2),(12	NUM
cana-1655	63	98	-	-	SYM
cana-1655	63	99	10)/2	10)/2	NUM
cana-1655	63	100	,	,	PUNCT
cana-1655	63	101	(	(	PUNCT
cana-1655	63	102	6	6	NUM
cana-1655	63	103	-	-	SYM
cana-1655	63	104	8)/2	8)/2	NUM
cana-1655	63	105	=(	=(	NOUN
cana-1655	63	106	-5	-5	ADJ
cana-1655	63	107	,	,	PUNCT
cana-1655	63	108	0	0	NUM
cana-1655	63	109	,	,	PUNCT
cana-1655	63	110	1	1	NUM
cana-1655	63	111	,	,	PUNCT
cana-1655	63	112	-1	-1	ADJ
cana-1655	63	113	)	)	PUNCT
cana-1655	63	114	step	step	NOUN
cana-1655	63	115	3	3	NUM
cana-1655	63	116	a2	a2	NOUN
cana-1655	63	117	=	=	PUNCT
cana-1655	63	118	(	(	PUNCT
cana-1655	63	119	9	9	NUM
cana-1655	63	120	+	+	NOUN
cana-1655	63	121	18)/2	18)/2	NUM
cana-1655	63	122	,	,	PUNCT
cana-1655	63	123	(	(	PUNCT
cana-1655	64	1	11	11	NUM
cana-1655	64	2	+	+	NUM
cana-1655	64	3	7)/2	7)/2	NUM
cana-1655	64	4	=	=	SYM
cana-1655	64	5	(	(	PUNCT
cana-1655	64	6	13.5	13.5	NUM
cana-1655	64	7	,	,	PUNCT
cana-1655	64	8	9)d2	9)d2	NUM
cana-1655	64	9	=	=	SYM
cana-1655	64	10	(	(	PUNCT
cana-1655	64	11	9	9	NUM
cana-1655	64	12	-	-	SYM
cana-1655	64	13	18)/2	18)/2	NUM
cana-1655	64	14	,	,	PUNCT
cana-1655	64	15	(	(	PUNCT
cana-1655	64	16	11	11	NUM
cana-1655	64	17	-	-	SYM
cana-1655	64	18	7)/2	7)/2	NUM
cana-1655	64	19	=	=	SYM
cana-1655	64	20	(	(	PUNCT
cana-1655	64	21	-4.5	-4.5	PROPN
cana-1655	64	22	,	,	PUNCT
cana-1655	64	23	2	2	X
cana-1655	64	24	)	)	PUNCT
cana-1655	64	25	step	step	NOUN
cana-1655	64	26	4	4	NUM
cana-1655	64	27	a3	a3	NOUN
cana-1655	64	28	=	=	PUNCT
cana-1655	64	29	(	(	PUNCT
cana-1655	64	30	13.5	13.5	NUM
cana-1655	64	31	+	+	SYM
cana-1655	64	32	9)/2	9)/2	NUM
cana-1655	64	33	=	=	SYM
cana-1655	64	34	11.25	11.25	NUM
cana-1655	64	35	,	,	PUNCT
cana-1655	64	36	d3	d3	PROPN
cana-1655	64	37	=	=	SYM
cana-1655	64	38	(	(	PUNCT
cana-1655	64	39	13.5	13.5	NUM
cana-1655	64	40	–	–	PUNCT
cana-1655	64	41	9)/2	9)/2	NUM
cana-1655	64	42	=	=	SYM
cana-1655	64	43	2.25	2.25	NUM
cana-1655	64	44	step	step	NOUN
cana-1655	64	45	5	5	NUM
cana-1655	64	46	h	h	NOUN
cana-1655	64	47	=	=	PUNCT
cana-1655	64	48	(	(	PUNCT
cana-1655	64	49	11.25	11.25	NUM
cana-1655	64	50	,	,	PUNCT
cana-1655	64	51	2.25	2.25	NUM
cana-1655	64	52	,	,	PUNCT
cana-1655	64	53	-4.5	-4.5	X
cana-1655	64	54	,	,	PUNCT
cana-1655	64	55	2	2	NUM
cana-1655	64	56	,	,	PUNCT
cana-1655	64	57	-5	-5	INTJ
cana-1655	64	58	,	,	PUNCT
cana-1655	64	59	0	0	NUM
cana-1655	64	60	,	,	PUNCT
cana-1655	64	61	1	1	NUM
cana-1655	64	62	,	,	PUNCT
cana-1655	64	63	-1	-1	ADJ
cana-1655	64	64	)	)	PUNCT
cana-1655	64	65	step	step	NOUN
cana-1655	64	66	6	6	NUM
cana-1655	64	67	maximum	maximum	NOUN
cana-1655	64	68	in	in	ADP
cana-1655	64	69	detailed	detailed	ADJ
cana-1655	64	70	coefficients	coefficient	NOUN
cana-1655	64	71	gives	give	VERB
cana-1655	64	72	us	we	PRON
cana-1655	64	73	haar	haar	X
cana-1655	64	74	ranking	rank	VERB
cana-1655	64	75	of	of	ADP
cana-1655	64	76	octagonal	octagonal	ADJ
cana-1655	64	77	fuzzy	fuzzy	ADJ
cana-1655	64	78	number	number	NOUN
cana-1655	64	79	|h|	|h|	NOUN
cana-1655	64	80	=	=	SYM
cana-1655	64	81	5	5	NUM
cana-1655	64	82	floyd	floyd	PROPN
cana-1655	64	83	warshall	warshall	PROPN
cana-1655	64	84	algorithm	algorithm	PROPN
cana-1655	64	85	:	:	PUNCT
cana-1655	64	86	floyd	floyd	PROPN
cana-1655	64	87	warshall	warshall	PROPN
cana-1655	64	88	algorithm	algorithm	PROPN
cana-1655	64	89	:	:	PUNCT
cana-1655	64	90	it	it	PRON
cana-1655	64	91	is	be	AUX
cana-1655	64	92	an	an	DET
cana-1655	64	93	algorithm	algorithm	NOUN
cana-1655	64	94	is	be	AUX
cana-1655	64	95	determine	determine	VERB
cana-1655	64	96	the	the	DET
cana-1655	64	97	shortest	short	ADJ
cana-1655	64	98	path	path	NOUN
cana-1655	64	99	between	between	ADP
cana-1655	64	100	any	any	DET
cana-1655	64	101	two	two	NUM
cana-1655	64	102	vertices	vertex	NOUN
cana-1655	64	103	in	in	ADP
cana-1655	64	104	a	a	DET
cana-1655	64	105	network	network	NOUN
cana-1655	64	106	activity.let	activity.let	X
cana-1655	64	107	the	the	DET
cana-1655	64	108	vertex	vertex	NOUN
cana-1655	64	109	at	at	ADP
cana-1655	64	110	which	which	PRON
cana-1655	64	111	we	we	PRON
cana-1655	64	112	are	be	AUX
cana-1655	64	113	starting	start	VERB
cana-1655	64	114	be	be	AUX
cana-1655	64	115	called	call	VERB
cana-1655	64	116	the	the	DET
cana-1655	64	117	initial	initial	ADJ
cana-1655	64	118	vertex	vertex	NOUN
cana-1655	64	119	.	.	PUNCT
cana-1655	65	1	let	let	VERB
cana-1655	65	2	the	the	DET
cana-1655	65	3	distance	distance	NOUN
cana-1655	65	4	of	of	ADP
cana-1655	65	5	vertex	vertex	NOUN
cana-1655	65	6	y	y	PROPN
cana-1655	65	7	be	be	AUX
cana-1655	65	8	the	the	DET
cana-1655	65	9	distance	distance	NOUN
cana-1655	65	10	from	from	ADP
cana-1655	65	11	the	the	DET
cana-1655	65	12	initial	initial	ADJ
cana-1655	65	13	vertex	vertex	NOUN
cana-1655	65	14	to	to	ADP
cana-1655	65	15	y.	y.	NOUN
cana-1655	65	16	step	step	PROPN
cana-1655	65	17	1	1	NUM
cana-1655	65	18	represent	represent	VERB
cana-1655	65	19	the	the	DET
cana-1655	65	20	given	give	VERB
cana-1655	65	21	network	network	NOUN
cana-1655	65	22	as	as	ADP
cana-1655	65	23	a	a	DET
cana-1655	65	24	rectangular	rectangular	ADJ
cana-1655	65	25	matrix	matrix	NOUN
cana-1655	65	26	step	step	NOUN
cana-1655	65	27	2	2	NUM
cana-1655	65	28	update	update	NOUN
cana-1655	65	29	the	the	DET
cana-1655	65	30	rectangular	rectangular	ADJ
cana-1655	65	31	matrix	matrix	NOUN
cana-1655	65	32	by	by	ADP
cana-1655	65	33	considering	consider	VERB
cana-1655	65	34	all	all	DET
cana-1655	65	35	vertices	vertex	NOUN
cana-1655	65	36	as	as	ADP
cana-1655	65	37	an	an	DET
cana-1655	65	38	intermediate	intermediate	ADJ
cana-1655	65	39	vertex	vertex	NOUN
cana-1655	65	40	.	.	PUNCT
cana-1655	66	1	step	step	NOUN
cana-1655	66	2	3	3	NUM
cana-1655	66	3	pick	pick	VERB
cana-1655	66	4	all	all	DET
cana-1655	66	5	vertices	vertex	NOUN
cana-1655	66	6	and	and	CCONJ
cana-1655	66	7	updates	update	VERB
cana-1655	66	8	all	all	DET
cana-1655	66	9	shortest	short	ADJ
cana-1655	66	10	paths	path	NOUN
cana-1655	66	11	which	which	PRON
cana-1655	66	12	include	include	VERB
cana-1655	66	13	the	the	DET
cana-1655	66	14	picked	pick	VERB
cana-1655	66	15	vertex	vertex	NOUN
cana-1655	66	16	as	as	ADP
cana-1655	66	17	an	an	DET
cana-1655	66	18	intermediate	intermediate	ADJ
cana-1655	66	19	vertex	vertex	NOUN
cana-1655	66	20	in	in	ADP
cana-1655	66	21	the	the	DET
cana-1655	66	22	shortest	short	ADJ
cana-1655	66	23	path	path	NOUN
cana-1655	66	24	.	.	PUNCT
cana-1655	67	1	step	step	NOUN
cana-1655	67	2	4the	4the	NUM
cana-1655	67	3	picked	pick	VERB
cana-1655	67	4	vertex	vertex	NOUN
cana-1655	67	5	k	k	PROPN
cana-1655	67	6	as	as	ADP
cana-1655	67	7	an	an	DET
cana-1655	67	8	intermediate	intermediate	ADJ
cana-1655	67	9	vertex	vertex	NOUN
cana-1655	67	10	,	,	PUNCT
cana-1655	67	11	we	we	PRON
cana-1655	67	12	considered	consider	VERB
cana-1655	67	13	vertices	vertex	NOUN
cana-1655	67	14	{	{	PUNCT
cana-1655	67	15	0	0	NUM
cana-1655	67	16	,	,	PUNCT
cana-1655	67	17	1	1	NUM
cana-1655	67	18	,	,	PUNCT
cana-1655	67	19	2	2	NUM
cana-1655	67	20	,	,	PUNCT
cana-1655	67	21	..	..	PUNCT
cana-1655	68	1	k-1	k-1	PROPN
cana-1655	68	2	}	}	PUNCT
cana-1655	68	3	as	as	ADP
cana-1655	68	4	intermediate	intermediate	ADJ
cana-1655	68	5	vertices	vertex	NOUN
cana-1655	68	6	.	.	PUNCT
cana-1655	69	1	step	step	VERB
cana-1655	69	2	5for	5for	NUM
cana-1655	69	3	every	every	DET
cana-1655	69	4	pair	pair	NOUN
cana-1655	69	5	(	(	PUNCT
cana-1655	69	6	a	a	DET
cana-1655	69	7	,	,	PUNCT
cana-1655	69	8	b	b	NOUN
cana-1655	69	9	)	)	PUNCT
cana-1655	69	10	of	of	ADP
cana-1655	69	11	the	the	DET
cana-1655	69	12	source	source	NOUN
cana-1655	69	13	and	and	CCONJ
cana-1655	69	14	destination	destination	NOUN
cana-1655	69	15	vertices	vertex	NOUN
cana-1655	69	16	respectively	respectively	ADV
cana-1655	69	17	,	,	PUNCT
cana-1655	69	18	there	there	PRON
cana-1655	69	19	are	be	VERB
cana-1655	69	20	two	two	NUM
cana-1655	69	21	possible	possible	ADJ
cana-1655	69	22	cases	case	NOUN
cana-1655	69	23	.	.	PUNCT
cana-1655	70	1	5a	5a	NUM
cana-1655	70	2	if	if	SCONJ
cana-1655	70	3	k	k	PROPN
cana-1655	70	4	is	be	AUX
cana-1655	70	5	not	not	PART
cana-1655	70	6	an	an	DET
cana-1655	70	7	intermediate	intermediate	ADJ
cana-1655	70	8	vertex	vertex	NOUN
cana-1655	70	9	in	in	ADP
cana-1655	70	10	shortest	short	ADJ
cana-1655	70	11	path	path	NOUN
cana-1655	70	12	from	from	ADP
cana-1655	70	13	a	a	PRON
cana-1655	70	14	to	to	ADP
cana-1655	70	15	b.	b.	PROPN
cana-1655	71	1	we	we	PRON
cana-1655	71	2	keep	keep	VERB
cana-1655	71	3	the	the	DET
cana-1655	71	4	value	value	NOUN
cana-1655	71	5	of	of	ADP
cana-1655	71	6	distance[a][b	distance[a][b	PROPN
cana-1655	71	7	]	]	PUNCT
cana-1655	71	8	as	as	SCONJ
cana-1655	71	9	it	it	PRON
cana-1655	71	10	is	be	AUX
cana-1655	71	11	.	.	PUNCT
cana-1655	72	1	communications	communication	NOUN
cana-1655	72	2	on	on	ADP
cana-1655	72	3	applied	apply	VERB
cana-1655	72	4	nonlinear	nonlinear	ADJ
cana-1655	72	5	analysis	analysis	NOUN
cana-1655	72	6	issn	issn	NOUN
cana-1655	72	7	:	:	PUNCT
cana-1655	72	8	1074	1074	NUM
cana-1655	72	9	-	-	PUNCT
cana-1655	72	10	133x	133x	NUM
cana-1655	72	11	vol	vol	NOUN
cana-1655	72	12	32	32	NUM
cana-1655	72	13	no	no	NOUN
cana-1655	72	14	.	.	NOUN
cana-1655	72	15	1	1	NUM
cana-1655	72	16	(	(	PUNCT
cana-1655	72	17	2025	2025	NUM
cana-1655	72	18	)	)	PUNCT
cana-1655	72	19	348	348	NUM
cana-1655	72	20	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1655	72	21	5b	5b	NUM
cana-1655	72	22	k	k	X
cana-1655	72	23	is	be	AUX
cana-1655	72	24	an	an	DET
cana-1655	72	25	intermediate	intermediate	ADJ
cana-1655	72	26	vertex	vertex	NOUN
cana-1655	72	27	in	in	ADP
cana-1655	72	28	shortest	short	ADJ
cana-1655	72	29	path	path	NOUN
cana-1655	72	30	from	from	ADP
cana-1655	72	31	a	a	PRON
cana-1655	72	32	to	to	ADP
cana-1655	72	33	b.	b.	PROPN
cana-1655	72	34	we	we	PRON
cana-1655	72	35	update	update	VERB
cana-1655	72	36	the	the	DET
cana-1655	72	37	value	value	NOUN
cana-1655	72	38	of	of	ADP
cana-1655	72	39	distance[a][b	distance[a][b	PROPN
cana-1655	72	40	]	]	X
cana-1655	72	41	as	as	ADP
cana-1655	72	42	distance[a][k	distance[a][k	NOUN
cana-1655	72	43	]	]	X
cana-1655	72	44	+	+	CCONJ
cana-1655	72	45	distance[k][b	distance[k][b	PROPN
cana-1655	72	46	]	]	PUNCT
cana-1655	72	47	if	if	SCONJ
cana-1655	72	48	distance[a][n	distance[a][n	VERB
cana-1655	72	49	]	]	PUNCT
cana-1655	72	50	>	>	PUNCT
cana-1655	72	51	distance[a][k	distance[a][k	NOUN
cana-1655	72	52	]	]	X
cana-1655	72	53	+	+	CCONJ
cana-1655	72	54	dist[k][b	dist[k][b	PROPN
cana-1655	72	55	]	]	PUNCT
cana-1655	72	56	symbolic	symbolic	ADJ
cana-1655	72	57	representation	representation	NOUN
cana-1655	72	58	let	let	VERB
cana-1655	72	59	esiand	esiand	PROPN
cana-1655	72	60	lsi	lsi	PROPN
cana-1655	72	61	represents	represent	VERB
cana-1655	72	62	the	the	DET
cana-1655	72	63	earliest	early	ADJ
cana-1655	72	64	reaching	reach	VERB
cana-1655	72	65	fuzzy	fuzzy	ADJ
cana-1655	72	66	event	event	NOUN
cana-1655	72	67	time	time	NOUN
cana-1655	72	68	,	,	PUNCT
cana-1655	72	69	and	and	CCONJ
cana-1655	72	70	the	the	DET
cana-1655	72	71	latest	late	ADJ
cana-1655	72	72	reaching	reach	VERB
cana-1655	72	73	fuzzy	fuzzy	ADJ
cana-1655	72	74	time	time	NOUN
cana-1655	72	75	for	for	ADP
cana-1655	72	76	event	event	NOUN
cana-1655	72	77	i	i	PRON
cana-1655	72	78	,	,	PUNCT
cana-1655	72	79	respectively	respectively	ADV
cana-1655	72	80	.	.	PUNCT
cana-1655	72	81	functions	function	NOUN
cana-1655	72	82	that	that	PRON
cana-1655	72	83	define	define	VERB
cana-1655	72	84	the	the	DET
cana-1655	72	85	earliest	early	ADJ
cana-1655	72	86	starting	starting	NOUN
cana-1655	72	87	times	time	NOUN
cana-1655	72	88	,	,	PUNCT
cana-1655	72	89	latest	late	ADJ
cana-1655	72	90	starting	start	VERB
cana-1655	72	91	times	time	NOUN
cana-1655	72	92	and	and	CCONJ
cana-1655	72	93	floats	float	VERB
cana-1655	72	94	in	in	ADP
cana-1655	72	95	terms	term	NOUN
cana-1655	72	96	of	of	ADP
cana-1655	72	97	fuzzy	fuzzy	ADJ
cana-1655	72	98	activity	activity	NOUN
cana-1655	72	99	duration	duration	NOUN
cana-1655	72	100	are	be	AUX
cana-1655	72	101	always	always	ADV
cana-1655	72	102	in	in	ADP
cana-1655	72	103	convex	convex	NOUN
cana-1655	72	104	,	,	PUNCT
cana-1655	72	105	normal	normal	ADJ
cana-1655	72	106	whose	whose	DET
cana-1655	72	107	membership	membership	NOUN
cana-1655	72	108	function	function	NOUN
cana-1655	72	109	are	be	AUX
cana-1655	72	110	piecewise	piecewise	NOUN
cana-1655	72	111	continuous	continuous	ADJ
cana-1655	72	112	hence	hence	ADV
cana-1655	72	113	the	the	DET
cana-1655	72	114	quantities	quantity	NOUN
cana-1655	72	115	such	such	ADJ
cana-1655	72	116	as	as	ADP
cana-1655	72	117	earliest	early	ADJ
cana-1655	72	118	fuzzy	fuzzy	ADJ
cana-1655	72	119	event	event	NOUN
cana-1655	72	120	time	time	NOUN
cana-1655	72	121	esithe	esithe	DET
cana-1655	72	122	latest	late	ADJ
cana-1655	72	123	fuzzy	fuzzy	ADJ
cana-1655	72	124	event	event	NOUN
cana-1655	72	125	time	time	NOUN
cana-1655	72	126	lsi	lsi	PROPN
cana-1655	72	127	are	be	AUX
cana-1655	72	128	ocfn	ocfn	ADJ
cana-1655	72	129	fuzzy	fuzzy	ADJ
cana-1655	72	130	numbers	number	NOUN
cana-1655	72	131	for	for	ADP
cana-1655	72	132	an	an	DET
cana-1655	72	133	event	event	NOUN
cana-1655	72	134	i	i	PRON
cana-1655	72	135	respectively	respectively	ADV
cana-1655	72	136	.	.	PUNCT
cana-1655	73	1	for	for	ADP
cana-1655	73	2	basic	basic	ADJ
cana-1655	73	3	computations	computation	NOUN
cana-1655	73	4	,	,	PUNCT
cana-1655	73	5	let	let	VERB
cana-1655	73	6	us	we	PRON
cana-1655	73	7	use	use	VERB
cana-1655	73	8	the	the	DET
cana-1655	73	9	following	following	ADJ
cana-1655	73	10	notations	notation	NOUN
cana-1655	73	11	:	:	PUNCT
cana-1655	73	12	1.aocfn(ab	1.aocfn(ab	NUM
cana-1655	73	13	)	)	PUNCT
cana-1655	73	14	=	=	PRON
cana-1655	73	15	total	total	ADJ
cana-1655	73	16	float	float	ADJ
cana-1655	73	17	time	time	NOUN
cana-1655	73	18	of	of	ADP
cana-1655	73	19	a_{ocfn}(ab)$	a_{ocfn}(ab)$	NOUN
cana-1655	73	20	2.eocfn(ab	2.eocfn(ab	NUM
cana-1655	73	21	)	)	PUNCT
cana-1655	73	22	=	=	VERB
cana-1655	74	1	estimated	estimate	VERB
cana-1655	74	2	aocfn(ab	aocfn(ab	NOUN
cana-1655	74	3	)	)	PUNCT
cana-1655	74	4	=	=	SYM
cana-1655	74	5	activity	activity	NOUN
cana-1655	74	6	of	of	ADP
cana-1655	74	7	ocfn	ocfn	NOUN
cana-1655	74	8	between	between	ADP
cana-1655	74	9	event	event	NOUN
cana-1655	74	10	a	a	PRON
cana-1655	74	11	and	and	CCONJ
cana-1655	74	12	event	event	NOUN
cana-1655	74	13	b	b	NOUN
cana-1655	74	14	3.eocfn(a	3.eocfn(a	NUM
cana-1655	74	15	)	)	PUNCT
cana-1655	74	16	=	=	PUNCT
cana-1655	74	17	earliest	early	ADJ
cana-1655	74	18	occurrence	occurrence	NOUN
cana-1655	74	19	event	event	NOUN
cana-1655	74	20	time	time	NOUN
cana-1655	74	21	a	a	PRON
cana-1655	74	22	of	of	ADP
cana-1655	74	23	ocfn	ocfn	ADJ
cana-1655	74	24	4	4	NUM
cana-1655	74	25	.	.	PUNCT
cana-1655	74	26	locfn(b	locfn(b	NOUN
cana-1655	74	27	)	)	PUNCT
cana-1655	74	28	=	=	PUNCT
cana-1655	74	29	latest	late	ADJ
cana-1655	74	30	occurrence	occurrence	NOUN
cana-1655	74	31	event	event	NOUN
cana-1655	74	32	time	time	PROPN
cana-1655	74	33	b	b	PROPN
cana-1655	74	34	of	of	ADP
cana-1655	74	35	ocfn	ocfn	NOUN
cana-1655	74	36	5	5	NUM
cana-1655	74	37	.	.	PUNCT
cana-1655	75	1	esocfn(ab	esocfn(ab	NOUN
cana-1655	75	2	)	)	PUNCT
cana-1655	75	3	=	=	PUNCT
cana-1655	75	4	earliest	early	ADJ
cana-1655	75	5	starting	starting	NOUN
cana-1655	75	6	time	time	NOUN
cana-1655	75	7	from	from	ADP
cana-1655	75	8	activity	activity	NOUN
cana-1655	75	9	a	a	PRON
cana-1655	75	10	to	to	ADP
cana-1655	75	11	b	b	NOUN
cana-1655	75	12	of	of	ADP
cana-1655	75	13	ocfn	ocfn	NOUN
cana-1655	75	14	6	6	NUM
cana-1655	75	15	.	.	PUNCT
cana-1655	76	1	efocfn(ab	efocfn(ab	NOUN
cana-1655	76	2	)	)	PUNCT
cana-1655	76	3	=	=	PUNCT
cana-1655	76	4	earliest	early	ADJ
cana-1655	76	5	finishing	finishing	ADJ
cana-1655	76	6	time	time	NOUN
cana-1655	76	7	from	from	ADP
cana-1655	76	8	activity	activity	NOUN
cana-1655	76	9	a	a	PRON
cana-1655	76	10	to	to	ADP
cana-1655	76	11	b	b	NOUN
cana-1655	76	12	of	of	ADP
cana-1655	76	13	ocfn	ocfn	NOUN
cana-1655	76	14	7	7	NUM
cana-1655	76	15	.	.	PUNCT
cana-1655	76	16	lsocfn(ab	lsocfn(ab	NOUN
cana-1655	76	17	)	)	PUNCT
cana-1655	76	18	=	=	PUNCT
cana-1655	76	19	latest	late	ADJ
cana-1655	76	20	starting	start	VERB
cana-1655	76	21	time	time	NOUN
cana-1655	76	22	from	from	ADP
cana-1655	76	23	activity	activity	NOUN
cana-1655	76	24	a	a	PRON
cana-1655	76	25	to	to	ADP
cana-1655	76	26	b	b	NOUN
cana-1655	76	27	of	of	ADP
cana-1655	76	28	ocfn	ocfn	ADJ
cana-1655	76	29	8	8	NUM
cana-1655	76	30	.	.	PUNCT
cana-1655	77	1	lfocfn(ab)=	lfocfn(ab)=	X
cana-1655	77	2	latest	late	ADJ
cana-1655	77	3	finishing	finish	VERB
cana-1655	77	4	time	time	NOUN
cana-1655	77	5	from	from	ADP
cana-1655	77	6	activity	activity	NOUN
cana-1655	77	7	a	a	PRON
cana-1655	77	8	to	to	ADP
cana-1655	77	9	b	b	NOUN
cana-1655	77	10	of	of	ADP
cana-1655	77	11	ocfn	ocfn	NOUN
cana-1655	77	12	9	9	NUM
cana-1655	77	13	.	.	PUNCT
cana-1655	78	1	eocfn	eocfn	PROPN
cana-1655	78	2	(	(	PUNCT
cana-1655	78	3	ab	ab	PROPN
cana-1655	78	4	)	)	PUNCT
cana-1655	78	5	=	=	VERB
cana-1655	79	1	estimated	estimate	VERB
cana-1655	79	2	completion	completion	NOUN
cana-1655	79	3	time	time	NOUN
cana-1655	79	4	.	.	PUNCT
cana-1655	80	1	procedure	procedure	NOUN
cana-1655	80	2	for	for	ADP
cana-1655	80	3	haar	haar	X
cana-1655	80	4	ranking	rank	VERB
cana-1655	80	5	octagonal	octagonal	ADJ
cana-1655	80	6	fuzzy	fuzzy	ADJ
cana-1655	80	7	critical	critical	ADJ
cana-1655	80	8	path	path	NOUN
cana-1655	80	9	algorithm	algorithm	NOUN
cana-1655	80	10	step	step	NOUN
cana-1655	80	11	1	1	NUM
cana-1655	80	12	in	in	ADP
cana-1655	80	13	project	project	NOUN
cana-1655	80	14	network	network	NOUN
cana-1655	80	15	,	,	PUNCT
cana-1655	80	16	identify	identify	VERB
cana-1655	80	17	the	the	DET
cana-1655	80	18	ocfn	ocfn	ADJ
cana-1655	80	19	activities	activity	NOUN
cana-1655	80	20	.	.	PUNCT
cana-1655	81	1	step	step	NOUN
cana-1655	81	2	2	2	NUM
cana-1655	81	3	establish	establish	VERB
cana-1655	81	4	precedence	precedence	NOUN
cana-1655	81	5	relationship	relationship	NOUN
cana-1655	81	6	of	of	ADP
cana-1655	81	7	all	all	DET
cana-1655	81	8	fuzzy	fuzzy	ADJ
cana-1655	81	9	activities	activity	NOUN
cana-1655	81	10	in	in	ADP
cana-1655	81	11	terms	term	NOUN
cana-1655	81	12	of	of	ADP
cana-1655	81	13	ocfn	ocfn	ADJ
cana-1655	81	14	numbers	number	NOUN
cana-1655	81	15	.	.	PUNCT
cana-1655	82	1	step	step	NOUN
cana-1655	82	2	3	3	NUM
cana-1655	82	3	draw	draw	VERB
cana-1655	82	4	a	a	DET
cana-1655	82	5	project	project	NOUN
cana-1655	82	6	network	network	NOUN
cana-1655	82	7	diagram	diagram	NOUN
cana-1655	82	8	with	with	ADP
cana-1655	82	9	ocfn	ocfn	NOUN
cana-1655	82	10	as	as	ADP
cana-1655	82	11	fuzzy	fuzzy	ADJ
cana-1655	82	12	activity	activity	NOUN
cana-1655	82	13	times	time	NOUN
cana-1655	82	14	.	.	PUNCT
cana-1655	83	1	step	step	NOUN
cana-1655	83	2	4	4	NUM
cana-1655	83	3	find	find	VERB
cana-1655	83	4	the	the	DET
cana-1655	83	5	expected	expect	VERB
cana-1655	83	6	time	time	NOUN
cana-1655	83	7	for	for	ADP
cana-1655	83	8	the	the	DET
cana-1655	83	9	activity	activity	NOUN
cana-1655	83	10	$	$	SYM
cana-1655	83	11	a_0	a_0	NOUN
cana-1655	83	12	-	-	PUNCT
cana-1655	83	13	a_1	a_1	ADV
cana-1655	83	14	$	$	NOUN
cana-1655	83	15	using	use	VERB
cana-1655	83	16	the	the	DET
cana-1655	83	17	following	follow	VERB
cana-1655	83	18	rule	rule	NOUN
cana-1655	83	19	.	.	PUNCT
cana-1655	84	1	round	round	VERB
cana-1655	84	2	off	off	ADP
cana-1655	84	3	the	the	DET
cana-1655	84	4	expected	expect	VERB
cana-1655	84	5	time	time	NOUN
cana-1655	84	6	to	to	ADP
cana-1655	84	7	the	the	DET
cana-1655	84	8	nearest	near	ADV
cana-1655	84	9	largest	large	ADJ
cana-1655	84	10	integer	integer	NOUN
cana-1655	84	11	.	.	PUNCT
cana-1655	85	1	step	step	NOUN
cana-1655	85	2	4	4	NUM
cana-1655	85	3	a	a	PRON
cana-1655	85	4	)	)	PUNCT
cana-1655	85	5	consider	consider	VERB
cana-1655	85	6	the	the	DET
cana-1655	85	7	octagonal	octagonal	ADJ
cana-1655	85	8	fuzzy	fuzzy	ADJ
cana-1655	85	9	activity	activity	NOUN
cana-1655	85	10	time	time	NOUN
cana-1655	85	11	(	(	PUNCT
cana-1655	85	12	4	4	NUM
cana-1655	85	13	,	,	PUNCT
cana-1655	85	14	14	14	NUM
cana-1655	85	15	,	,	PUNCT
cana-1655	85	16	18	18	NUM
cana-1655	85	17	,	,	PUNCT
cana-1655	85	18	18	18	NUM
cana-1655	85	19	,	,	PUNCT
cana-1655	85	20	12	12	NUM
cana-1655	85	21	,	,	PUNCT
cana-1655	85	22	10	10	NUM
cana-1655	85	23	,	,	PUNCT
cana-1655	85	24	6	6	NUM
cana-1655	85	25	,	,	PUNCT
cana-1655	85	26	8)	8)	NUM
cana-1655	85	27	for	for	ADP
cana-1655	85	28	the	the	DET
cana-1655	85	29	path	path	NOUN
cana-1655	85	30	1	1	NUM
cana-1655	85	31	-	-	SYM
cana-1655	85	32	2	2	NUM
cana-1655	85	33	.	.	PUNCT
cana-1655	85	34	step	step	NOUN
cana-1655	85	35	4	4	NUM
cana-1655	85	36	b	b	NOUN
cana-1655	85	37	)	)	PUNCT
cana-1655	85	38	]	]	PUNCT
cana-1655	85	39	now	now	ADV
cana-1655	85	40	convert	convert	VERB
cana-1655	85	41	it	it	PRON
cana-1655	85	42	into	into	ADP
cana-1655	85	43	a	a	DET
cana-1655	85	44	haar	haar	NOUN
cana-1655	85	45	octagonal	octagonal	ADJ
cana-1655	85	46	fuzzy	fuzzy	ADJ
cana-1655	85	47	number	number	NOUN
cana-1655	85	48	as	as	SCONJ
cana-1655	85	49	explained	explain	VERB
cana-1655	85	50	in	in	ADP
cana-1655	85	51	the	the	DET
cana-1655	85	52	illustration	illustration	NOUN
cana-1655	85	53	1	1	NUM
cana-1655	85	54	step	step	NOUN
cana-1655	85	55	4	4	NUM
cana-1655	85	56	c	c	NOUN
cana-1655	85	57	)	)	PUNCT
cana-1655	85	58	]	]	PUNCT
cana-1655	85	59	thus	thus	ADV
cana-1655	85	60	for	for	ADP
cana-1655	85	61	the	the	DET
cana-1655	85	62	path	path	NOUN
cana-1655	85	63	1	1	NUM
cana-1655	85	64	-	-	SYM
cana-1655	85	65	2	2	NUM
cana-1655	85	66	the	the	DET
cana-1655	85	67	haar	haar	X
cana-1655	85	68	ranking	rank	VERB
cana-1655	85	69	octagonal	octagonal	ADJ
cana-1655	85	70	fuzzy	fuzzy	ADJ
cana-1655	85	71	number	number	NOUN
cana-1655	85	72	is	be	AUX
cana-1655	85	73	5	5	NUM
cana-1655	85	74	step	step	NOUN
cana-1655	85	75	4	4	NUM
cana-1655	85	76	d	d	NOUN
cana-1655	85	77	)	)	PUNCT
cana-1655	85	78	]	]	PUNCT
cana-1655	85	79	apply	apply	VERB
cana-1655	85	80	the	the	DET
cana-1655	85	81	above	above	ADJ
cana-1655	85	82	three	three	NUM
cana-1655	85	83	steps	step	NOUN
cana-1655	85	84	for	for	ADP
cana-1655	85	85	all	all	DET
cana-1655	85	86	the	the	DET
cana-1655	85	87	path	path	NOUN
cana-1655	85	88	.	.	PUNCT
cana-1655	86	1	thus	thus	ADV
cana-1655	86	2	we	we	PRON
cana-1655	86	3	got	get	VERB
cana-1655	86	4	the	the	DET
cana-1655	86	5	expected	expect	VERB
cana-1655	86	6	time	time	NOUN
cana-1655	86	7	for	for	ADP
cana-1655	86	8	each	each	DET
cana-1655	86	9	path	path	NOUN
cana-1655	86	10	which	which	PRON
cana-1655	86	11	was	be	AUX
cana-1655	86	12	shown	show	VERB
cana-1655	86	13	in	in	ADP
cana-1655	86	14	table	table	NOUN
cana-1655	86	15	.	.	PUNCT
cana-1655	87	1	step	step	NOUN
cana-1655	87	2	5	5	NUM
cana-1655	87	3	]	]	PUNCT
cana-1655	87	4	at	at	ADP
cana-1655	87	5	this	this	DET
cana-1655	87	6	stage	stage	NOUN
cana-1655	87	7	,	,	PUNCT
cana-1655	87	8	our	our	PRON
cana-1655	87	9	project	project	NOUN
cana-1655	87	10	network	network	NOUN
cana-1655	87	11	has	have	VERB
cana-1655	87	12	an	an	DET
cana-1655	87	13	associated	associated	ADJ
cana-1655	87	14	integer	integer	NOUN
cana-1655	87	15	calculated	calculate	VERB
cana-1655	87	16	in	in	ADP
cana-1655	87	17	step	step	NOUN
cana-1655	87	18	3	3	NUM
cana-1655	87	19	for	for	ADP
cana-1655	87	20	any	any	DET
cana-1655	87	21	two	two	NUM
cana-1655	87	22	adjacent	adjacent	ADJ
cana-1655	87	23	nodes	node	NOUN
cana-1655	87	24	.	.	PUNCT
cana-1655	88	1	step	step	NOUN
cana-1655	88	2	6	6	NUM
cana-1655	88	3	]	]	PUNCT
cana-1655	88	4	consider	consider	VERB
cana-1655	88	5	sand	sand	NOUN
cana-1655	88	6	d	d	NOUN
cana-1655	88	7	as	as	ADP
cana-1655	88	8	the	the	DET
cana-1655	88	9	source	source	NOUN
cana-1655	88	10	node	node	NOUN
cana-1655	88	11	and	and	CCONJ
cana-1655	88	12	destination	destination	NOUN
cana-1655	88	13	nodes	node	NOUN
cana-1655	88	14	in	in	ADP
cana-1655	88	15	the	the	DET
cana-1655	88	16	network	network	NOUN
cana-1655	88	17	.	.	PUNCT
cana-1655	89	1	apply	apply	VERB
cana-1655	89	2	floydwarshall	floydwarshall	NOUN
cana-1655	89	3	algorithm	algorithm	NOUN
cana-1655	89	4	to	to	PART
cana-1655	89	5	find	find	VERB
cana-1655	89	6	the	the	DET
cana-1655	89	7	shortest	short	ADJ
cana-1655	89	8	path	path	NOUN
cana-1655	89	9	between	between	ADP
cana-1655	89	10	the	the	DET
cana-1655	89	11	source	source	NOUN
cana-1655	89	12	node	node	NOUN
cana-1655	89	13	and	and	CCONJ
cana-1655	89	14	the	the	DET
cana-1655	89	15	destination	destination	NOUN
cana-1655	89	16	node	node	NOUN
cana-1655	89	17	.	.	PUNCT
cana-1655	90	1	the	the	DET
cana-1655	90	2	path	path	NOUN
cana-1655	90	3	identified	identify	VERB
cana-1655	90	4	by	by	ADP
cana-1655	90	5	the	the	DET
cana-1655	90	6	floyd	floyd	PROPN
cana-1655	90	7	-warshall	-warshall	PROPN
cana-1655	90	8	algorithm	algorithm	NOUN
cana-1655	90	9	is	be	AUX
cana-1655	90	10	identified	identify	VERB
cana-1655	90	11	as	as	ADP
cana-1655	90	12	the	the	DET
cana-1655	90	13	haar	haar	X
cana-1655	90	14	ranking	rank	VERB
cana-1655	90	15	octagonal	octagonal	ADJ
cana-1655	90	16	fuzzy	fuzzy	ADJ
cana-1655	90	17	critical	critical	ADJ
cana-1655	90	18	path	path	NOUN
cana-1655	90	19	.	.	PUNCT
cana-1655	91	1	numerical	numerical	ADJ
cana-1655	91	2	results	result	NOUN
cana-1655	91	3	in	in	ADP
cana-1655	91	4	this	this	DET
cana-1655	91	5	section	section	NOUN
cana-1655	91	6	we	we	PRON
cana-1655	91	7	are	be	AUX
cana-1655	91	8	going	go	VERB
cana-1655	91	9	to	to	PART
cana-1655	91	10	determine	determine	VERB
cana-1655	91	11	the	the	DET
cana-1655	91	12	fuzzy	fuzzy	ADJ
cana-1655	91	13	critical	critical	ADJ
cana-1655	91	14	path	path	NOUN
cana-1655	91	15	using	use	VERB
cana-1655	91	16	floyd	floyd	PROPN
cana-1655	91	17	warshall	warshall	PROPN
cana-1655	91	18	algorithm	algorithm	PROPN
cana-1655	91	19	with	with	ADP
cana-1655	91	20	the	the	DET
cana-1655	91	21	help	help	NOUN
cana-1655	91	22	of	of	ADP
cana-1655	91	23	haar	haar	PROPN
cana-1655	91	24	octagonal	octagonal	ADJ
cana-1655	91	25	fuzzy	fuzzy	ADJ
cana-1655	91	26	number	number	NOUN
cana-1655	91	27	.	.	PUNCT
cana-1655	92	1	first	first	ADV
cana-1655	92	2	consider	consider	VERB
cana-1655	92	3	the	the	DET
cana-1655	92	4	following	follow	VERB
cana-1655	92	5	network	network	NOUN
cana-1655	92	6	along	along	ADP
cana-1655	92	7	with	with	ADP
cana-1655	92	8	the	the	DET
cana-1655	92	9	expected	expect	VERB
cana-1655	92	10	time	time	NOUN
cana-1655	92	11	of	of	ADP
cana-1655	92	12	each	each	DET
cana-1655	92	13	activity	activity	NOUN
cana-1655	92	14	.	.	PUNCT
cana-1655	93	1	communications	communication	NOUN
cana-1655	93	2	on	on	ADP
cana-1655	93	3	applied	apply	VERB
cana-1655	93	4	nonlinear	nonlinear	ADJ
cana-1655	93	5	analysis	analysis	NOUN
cana-1655	93	6	issn	issn	NOUN
cana-1655	93	7	:	:	PUNCT
cana-1655	93	8	1074	1074	NUM
cana-1655	93	9	-	-	PUNCT
cana-1655	93	10	133x	133x	NUM
cana-1655	93	11	vol	vol	NOUN
cana-1655	93	12	32	32	NUM
cana-1655	93	13	no	no	NOUN
cana-1655	93	14	.	.	NOUN
cana-1655	93	15	1	1	NUM
cana-1655	93	16	(	(	PUNCT
cana-1655	93	17	2025	2025	NUM
cana-1655	93	18	)	)	PUNCT
cana-1655	94	1	349	349	NUM
cana-1655	94	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	94	3	example	example	NOUN
cana-1655	94	4	1	1	NUM
cana-1655	94	5	the	the	DET
cana-1655	94	6	table	table	NOUN
cana-1655	94	7	1	1	NUM
cana-1655	94	8	represents	represent	VERB
cana-1655	94	9	the	the	DET
cana-1655	94	10	fuzzy	fuzzy	ADJ
cana-1655	94	11	activities	activity	NOUN
cana-1655	94	12	of	of	ADP
cana-1655	94	13	various	various	ADJ
cana-1655	94	14	nodes	node	NOUN
cana-1655	94	15	in	in	ADP
cana-1655	94	16	a	a	DET
cana-1655	94	17	given	give	VERB
cana-1655	94	18	network	network	NOUN
cana-1655	94	19	.	.	PUNCT
cana-1655	95	1	for	for	ADP
cana-1655	95	2	finding	find	VERB
cana-1655	95	3	critical	critical	ADJ
cana-1655	95	4	path	path	NOUN
cana-1655	95	5	first	first	ADV
cana-1655	95	6	we	we	PRON
cana-1655	95	7	have	have	VERB
cana-1655	95	8	to	to	PART
cana-1655	95	9	convert	convert	VERB
cana-1655	95	10	the	the	DET
cana-1655	95	11	fuzzy	fuzzy	ADJ
cana-1655	95	12	activities	activity	NOUN
cana-1655	95	13	into	into	ADP
cana-1655	95	14	a	a	DET
cana-1655	95	15	single	single	ADJ
cana-1655	95	16	node	node	NOUN
cana-1655	95	17	using	use	VERB
cana-1655	95	18	haar	haar	PROPN
cana-1655	95	19	wavelet	wavelet	NOUN
cana-1655	95	20	basis	basis	NOUN
cana-1655	95	21	.	.	PUNCT
cana-1655	96	1	consider	consider	VERB
cana-1655	96	2	the	the	DET
cana-1655	96	3	activity	activity	NOUN
cana-1655	96	4	1	1	NUM
cana-1655	96	5	-	-	SYM
cana-1655	96	6	2along	2along	NUM
cana-1655	96	7	with	with	ADP
cana-1655	96	8	the	the	DET
cana-1655	96	9	octagonal	octagonal	ADJ
cana-1655	96	10	fuzzy	fuzzy	ADJ
cana-1655	96	11	activity	activity	NOUN
cana-1655	96	12	time	time	NOUN
cana-1655	96	13	(	(	PUNCT
cana-1655	96	14	4,14,18,18,12	4,14,18,18,12	NOUN
cana-1655	96	15	,	,	PUNCT
cana-1655	96	16	10	10	NUM
cana-1655	96	17	,	,	PUNCT
cana-1655	96	18	6	6	NUM
cana-1655	96	19	,	,	PUNCT
cana-1655	96	20	8)	8)	NUM
cana-1655	96	21	.	.	PUNCT
cana-1655	96	22	by	by	ADP
cana-1655	96	23	applying	apply	VERB
cana-1655	96	24	the	the	DET
cana-1655	96	25	haar	haar	NOUN
cana-1655	96	26	ranking	ranking	NOUN
cana-1655	96	27	method	method	NOUN
cana-1655	96	28	we	we	PRON
cana-1655	96	29	have	have	VERB
cana-1655	96	30	to	to	PART
cana-1655	96	31	convert	convert	VERB
cana-1655	96	32	the	the	DET
cana-1655	96	33	octagonal	octagonal	ADJ
cana-1655	96	34	fuzzy	fuzzy	ADJ
cana-1655	96	35	number	number	NOUN
cana-1655	96	36	into	into	ADP
cana-1655	96	37	a	a	DET
cana-1655	96	38	single	single	ADJ
cana-1655	96	39	number	number	NOUN
cana-1655	96	40	as	as	SCONJ
cana-1655	96	41	which	which	PRON
cana-1655	96	42	was	be	AUX
cana-1655	96	43	illustrated	illustrate	VERB
cana-1655	96	44	in	in	ADP
cana-1655	96	45	section	section	NOUN
cana-1655	96	46	3	3	NUM
cana-1655	96	47	.	.	PUNCT
cana-1655	97	1	thus	thus	ADV
cana-1655	97	2	the	the	DET
cana-1655	97	3	values	value	NOUN
cana-1655	97	4	of	of	ADP
cana-1655	97	5	column	column	NOUN
cana-1655	97	6	three	three	NUM
cana-1655	97	7	in	in	ADP
cana-1655	97	8	table	table	NOUN
cana-1655	97	9	1	1	NUM
cana-1655	97	10	is	be	AUX
cana-1655	97	11	obtained	obtain	VERB
cana-1655	97	12	.	.	PUNCT
cana-1655	98	1	after	after	ADP
cana-1655	98	2	converting	convert	VERB
cana-1655	98	3	all	all	DET
cana-1655	98	4	the	the	DET
cana-1655	98	5	fuzzy	fuzzy	ADJ
cana-1655	98	6	activity	activity	NOUN
cana-1655	98	7	time	time	NOUN
cana-1655	98	8	into	into	ADP
cana-1655	98	9	a	a	DET
cana-1655	98	10	single	single	ADJ
cana-1655	98	11	number	number	NOUN
cana-1655	98	12	using	use	VERB
cana-1655	98	13	haar	haar	X
cana-1655	98	14	ranking	ranking	ADJ
cana-1655	98	15	method	method	NOUN
cana-1655	98	16	.	.	PUNCT
cana-1655	99	1	now	now	ADV
cana-1655	99	2	we	we	PRON
cana-1655	99	3	have	have	VERB
cana-1655	99	4	to	to	PART
cana-1655	99	5	apply	apply	VERB
cana-1655	99	6	the	the	DET
cana-1655	99	7	floyd	floyd	PROPN
cana-1655	99	8	marshall	marshall	PROPN
cana-1655	99	9	algorithm	algorithm	PROPN
cana-1655	99	10	that	that	PRON
cana-1655	99	11	was	be	AUX
cana-1655	99	12	discussed	discuss	VERB
cana-1655	99	13	in	in	ADP
cana-1655	99	14	section	section	NOUN
cana-1655	99	15	4	4	NUM
cana-1655	99	16	.	.	PUNCT
cana-1655	100	1	in	in	ADP
cana-1655	100	2	this	this	DET
cana-1655	100	3	example	example	NOUN
cana-1655	100	4	,	,	PUNCT
cana-1655	100	5	path	path	NOUN
cana-1655	100	6	p2	p2	PROPN
cana-1655	100	7	:	:	PUNCT
cana-1655	100	8	1	1	NUM
cana-1655	100	9	-	-	SYM
cana-1655	100	10	3	3	NUM
cana-1655	100	11	–	–	PUNCT
cana-1655	100	12	47	47	NUM
cana-1655	100	13	is	be	AUX
cana-1655	100	14	identified	identify	VERB
cana-1655	100	15	as	as	ADP
cana-1655	100	16	a	a	DET
cana-1655	100	17	haar	haar	NOUN
cana-1655	100	18	octagonal	octagonal	ADJ
cana-1655	100	19	fuzzy	fuzzy	ADJ
cana-1655	100	20	critical	critical	ADJ
cana-1655	100	21	path	path	NOUN
cana-1655	100	22	.	.	PUNCT
cana-1655	101	1	the	the	DET
cana-1655	101	2	table	table	NOUN
cana-1655	101	3	below	below	ADV
cana-1655	101	4	represents	represent	VERB
cana-1655	101	5	the	the	DET
cana-1655	101	6	calculations	calculation	NOUN
cana-1655	101	7	of	of	ADP
cana-1655	101	8	expected	expect	VERB
cana-1655	101	9	time	time	NOUN
cana-1655	101	10	in	in	ADP
cana-1655	101	11	each	each	DET
cana-1655	101	12	activity	activity	NOUN
cana-1655	101	13	of	of	ADP
cana-1655	101	14	fuzzy	fuzzy	ADJ
cana-1655	101	15	critical	critical	ADJ
cana-1655	101	16	path	path	NOUN
cana-1655	101	17	network	network	NOUN
cana-1655	101	18	in	in	ADP
cana-1655	101	19	the	the	DET
cana-1655	101	20	numerical	numerical	ADJ
cana-1655	101	21	example	example	NOUN
cana-1655	101	22	and	and	CCONJ
cana-1655	101	23	identify	identify	VERB
cana-1655	101	24	the	the	DET
cana-1655	101	25	critical	critical	ADJ
cana-1655	101	26	path	path	NOUN
cana-1655	101	27	.	.	PUNCT
cana-1655	102	1	path	path	NOUN
cana-1655	102	2	project	project	PROPN
cana-1655	102	3	completion	completion	NOUN
cana-1655	102	4	time	time	NOUN
cana-1655	102	5	p1	p1	PROPN
cana-1655	102	6	:	:	PUNCT
cana-1655	102	7	1	1	NUM
cana-1655	102	8	–	–	SYM
cana-1655	102	9	2	2	NUM
cana-1655	102	10	–	–	SYM
cana-1655	102	11	5	5	NUM
cana-1655	102	12	–	–	SYM
cana-1655	102	13	7	7	NUM
cana-1655	102	14	11	11	NUM
cana-1655	102	15	p2	p2	NOUN
cana-1655	102	16	:	:	PUNCT
cana-1655	102	17	1	1	NUM
cana-1655	102	18	–	–	SYM
cana-1655	102	19	2	2	NUM
cana-1655	102	20	–	–	SYM
cana-1655	102	21	4	4	NUM
cana-1655	102	22	–	–	SYM
cana-1655	102	23	7	7	NUM
cana-1655	102	24	13	13	NUM
cana-1655	102	25	p1	p1	NOUN
cana-1655	102	26	:	:	PUNCT
cana-1655	102	27	1	1	NUM
cana-1655	102	28	–	–	SYM
cana-1655	102	29	3	3	NUM
cana-1655	102	30	–	–	SYM
cana-1655	102	31	4	4	NUM
cana-1655	102	32	–	–	SYM
cana-1655	102	33	7	7	NUM
cana-1655	102	34	10	10	NUM
cana-1655	102	35	p1	p1	NOUN
cana-1655	102	36	:	:	PUNCT
cana-1655	102	37	1	1	NUM
cana-1655	102	38	–	–	SYM
cana-1655	102	39	3	3	NUM
cana-1655	102	40	–	–	SYM
cana-1655	102	41	6	6	NUM
cana-1655	102	42	–	–	SYM
cana-1655	102	43	7	7	NUM
cana-1655	102	44	12	12	NUM
cana-1655	102	45	table	table	NOUN
cana-1655	102	46	2	2	NUM
cana-1655	102	47	:	:	PUNCT
cana-1655	102	48	project	project	NOUN
cana-1655	102	49	completion	completion	NOUN
cana-1655	102	50	time	time	NOUN
cana-1655	102	51	using	use	VERB
cana-1655	102	52	floyd	floyd	PROPN
cana-1655	102	53	–	–	PUNCT
cana-1655	102	54	warshall	warshall	NOUN
cana-1655	102	55	algorithm	algorithm	NOUN
cana-1655	102	56	communications	communication	NOUN
cana-1655	102	57	on	on	ADP
cana-1655	102	58	applied	apply	VERB
cana-1655	102	59	nonlinear	nonlinear	ADJ
cana-1655	102	60	analysis	analysis	NOUN
cana-1655	102	61	issn	issn	NOUN
cana-1655	102	62	:	:	PUNCT
cana-1655	102	63	1074	1074	NUM
cana-1655	102	64	-	-	PUNCT
cana-1655	102	65	133x	133x	NUM
cana-1655	102	66	vol	vol	NOUN
cana-1655	102	67	32	32	NUM
cana-1655	102	68	no	no	NOUN
cana-1655	102	69	.	.	NOUN
cana-1655	102	70	1	1	NUM
cana-1655	102	71	(	(	PUNCT
cana-1655	102	72	2025	2025	NUM
cana-1655	102	73	)	)	PUNCT
cana-1655	102	74	350	350	NUM
cana-1655	102	75	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	102	76	example	example	NOUN
cana-1655	102	77	2	2	NUM
cana-1655	102	78	:	:	PUNCT
cana-1655	102	79	consider	consider	VERB
cana-1655	102	80	the	the	DET
cana-1655	102	81	table	table	NOUN
cana-1655	102	82	2	2	NUM
cana-1655	102	83	which	which	PRON
cana-1655	102	84	represents	represent	VERB
cana-1655	102	85	fuzzy	fuzzy	ADJ
cana-1655	102	86	activity	activity	NOUN
cana-1655	102	87	and	and	CCONJ
cana-1655	102	88	the	the	DET
cana-1655	102	89	expected	expect	VERB
cana-1655	102	90	time	time	NOUN
cana-1655	102	91	using	use	VERB
cana-1655	102	92	haar	haar	X
cana-1655	102	93	ranking	rank	VERB
cana-1655	102	94	method	method	NOUN
cana-1655	102	95	activity	activity	NOUN
cana-1655	102	96	fuzzy	fuzzy	ADJ
cana-1655	102	97	activity	activity	NOUN
cana-1655	102	98	time	time	NOUN
cana-1655	102	99	expected	expect	VERB
cana-1655	102	100	time	time	NOUN
cana-1655	102	101	using	use	VERB
cana-1655	102	102	haar	haar	NOUN
cana-1655	102	103	ranking	ranking	ADJ
cana-1655	102	104	method	method	NOUN
cana-1655	102	105	1	1	NUM
cana-1655	102	106	-	-	SYM
cana-1655	102	107	2	2	NUM
cana-1655	102	108	(	(	PUNCT
cana-1655	102	109	13,27	13,27	NUM
cana-1655	102	110	,	,	PUNCT
cana-1655	102	111	14	14	NUM
cana-1655	102	112	,	,	PUNCT
cana-1655	102	113	17,21,27,13	17,21,27,13	NUM
cana-1655	102	114	,	,	PUNCT
cana-1655	102	115	17	17	NUM
cana-1655	102	116	)	)	PUNCT
cana-1655	102	117	3	3	NUM
cana-1655	102	118	1	1	NUM
cana-1655	102	119	-	-	SYM
cana-1655	102	120	3	3	NUM
cana-1655	102	121	(	(	PUNCT
cana-1655	102	122	23	23	NUM
cana-1655	102	123	,	,	PUNCT
cana-1655	102	124	15,27	15,27	NUM
cana-1655	102	125	,	,	PUNCT
cana-1655	102	126	49	49	NUM
cana-1655	102	127	,	,	PUNCT
cana-1655	102	128	30,32,23	30,32,23	NUM
cana-1655	102	129	,	,	PUNCT
cana-1655	102	130	52	52	NUM
cana-1655	102	131	)	)	PUNCT
cana-1655	102	132	3	3	NUM
cana-1655	102	133	2	2	NUM
cana-1655	102	134	-	-	SYM
cana-1655	102	135	4	4	NUM
cana-1655	102	136	(	(	PUNCT
cana-1655	102	137	11	11	NUM
cana-1655	102	138	,	,	PUNCT
cana-1655	102	139	24	24	NUM
cana-1655	102	140	,	,	PUNCT
cana-1655	102	141	37	37	NUM
cana-1655	102	142	,	,	PUNCT
cana-1655	102	143	24	24	NUM
cana-1655	102	144	,	,	PUNCT
cana-1655	102	145	27,32	27,32	NUM
cana-1655	102	146	,	,	PUNCT
cana-1655	102	147	17	17	NUM
cana-1655	102	148	,	,	PUNCT
cana-1655	102	149	19	19	NUM
cana-1655	102	150	)	)	PUNCT
cana-1655	102	151	1	1	NUM
cana-1655	102	152	3	3	NUM
cana-1655	102	153	-	-	SYM
cana-1655	102	154	4	4	NUM
cana-1655	102	155	(	(	PUNCT
cana-1655	102	156	13	13	NUM
cana-1655	102	157	,	,	PUNCT
cana-1655	102	158	15,27	15,27	NUM
cana-1655	102	159	,	,	PUNCT
cana-1655	102	160	39	39	NUM
cana-1655	102	161	,	,	PUNCT
cana-1655	102	162	40,22	40,22	NUM
cana-1655	102	163	,	,	PUNCT
cana-1655	102	164	23	23	NUM
cana-1655	102	165	,	,	PUNCT
cana-1655	102	166	35	35	NUM
cana-1655	102	167	)	)	PUNCT
cana-1655	102	168	2	2	NUM
cana-1655	102	169	2	2	NUM
cana-1655	102	170	-	-	SYM
cana-1655	102	171	5	5	NUM
cana-1655	102	172	(	(	PUNCT
cana-1655	102	173	15	15	NUM
cana-1655	102	174	,	,	PUNCT
cana-1655	102	175	27	27	NUM
cana-1655	102	176	,	,	PUNCT
cana-1655	102	177	20	20	NUM
cana-1655	102	178	,	,	PUNCT
cana-1655	102	179	33,27	33,27	NUM
cana-1655	102	180	,	,	PUNCT
cana-1655	102	181	31	31	NUM
cana-1655	102	182	,	,	PUNCT
cana-1655	102	183	25	25	NUM
cana-1655	102	184	,	,	PUNCT
cana-1655	102	185	37	37	NUM
cana-1655	102	186	)	)	PUNCT
cana-1655	102	187	3	3	NUM
cana-1655	102	188	3	3	NUM
cana-1655	102	189	-	-	SYM
cana-1655	102	190	6	6	NUM
cana-1655	102	191	(	(	PUNCT
cana-1655	102	192	17	17	NUM
cana-1655	102	193	,	,	PUNCT
cana-1655	102	194	19	19	NUM
cana-1655	102	195	,	,	PUNCT
cana-1655	102	196	11,24	11,24	NUM
cana-1655	102	197	,	,	PUNCT
cana-1655	102	198	19	19	NUM
cana-1655	102	199	,	,	PUNCT
cana-1655	102	200	26	26	NUM
cana-1655	102	201	,	,	PUNCT
cana-1655	102	202	17	17	NUM
cana-1655	102	203	,	,	PUNCT
cana-1655	102	204	19	19	NUM
cana-1655	102	205	)	)	PUNCT
cana-1655	102	206	0.5	0.5	NUM
cana-1655	102	207	4	4	NUM
cana-1655	102	208	-	-	SYM
cana-1655	102	209	7	7	NUM
cana-1655	102	210	(	(	PUNCT
cana-1655	102	211	17	17	NUM
cana-1655	102	212	,	,	PUNCT
cana-1655	102	213	29	29	NUM
cana-1655	102	214	,	,	PUNCT
cana-1655	102	215	13	13	NUM
cana-1655	102	216	,	,	PUNCT
cana-1655	102	217	19	19	NUM
cana-1655	102	218	,	,	PUNCT
cana-1655	102	219	28	28	NUM
cana-1655	102	220	,	,	PUNCT
cana-1655	102	221	27,19	27,19	NUM
cana-1655	102	222	,	,	PUNCT
cana-1655	102	223	7	7	NUM
cana-1655	102	224	)	)	PUNCT
cana-1655	102	225	3.5	3.5	NUM
cana-1655	102	226	5	5	NUM
cana-1655	102	227	-	-	SYM
cana-1655	102	228	7	7	NUM
cana-1655	102	229	(	(	PUNCT
cana-1655	102	230	12	12	NUM
cana-1655	102	231	,	,	PUNCT
cana-1655	102	232	23	23	NUM
cana-1655	102	233	,	,	PUNCT
cana-1655	102	234	14	14	NUM
cana-1655	102	235	,	,	PUNCT
cana-1655	102	236	26	26	NUM
cana-1655	102	237	,	,	PUNCT
cana-1655	102	238	17	17	NUM
cana-1655	102	239	,	,	PUNCT
cana-1655	102	240	19	19	NUM
cana-1655	102	241	,	,	PUNCT
cana-1655	102	242	12	12	NUM
cana-1655	102	243	,	,	PUNCT
cana-1655	102	244	13	13	NUM
cana-1655	102	245	)	)	PUNCT
cana-1655	102	246	4	4	NUM
cana-1655	102	247	6	6	NUM
cana-1655	102	248	-	-	SYM
cana-1655	102	249	7	7	NUM
cana-1655	102	250	(	(	PUNCT
cana-1655	102	251	15	15	NUM
cana-1655	102	252	,	,	PUNCT
cana-1655	102	253	27	27	NUM
cana-1655	102	254	,	,	PUNCT
cana-1655	102	255	18	18	NUM
cana-1655	102	256	,	,	PUNCT
cana-1655	102	257	21	21	NUM
cana-1655	102	258	,	,	PUNCT
cana-1655	102	259	24	24	NUM
cana-1655	102	260	,	,	PUNCT
cana-1655	102	261	27	27	NUM
cana-1655	102	262	,	,	PUNCT
cana-1655	102	263	15	15	NUM
cana-1655	102	264	,	,	PUNCT
cana-1655	102	265	17	17	NUM
cana-1655	102	266	)	)	PUNCT
cana-1655	102	267	1.5	1.5	NUM
cana-1655	102	268	table	table	NOUN
cana-1655	102	269	–	–	PUNCT
cana-1655	102	270	3	3	NUM
cana-1655	102	271	expected	expect	VERB
cana-1655	102	272	time	time	NOUN
cana-1655	102	273	using	use	VERB
cana-1655	102	274	haar	haar	X
cana-1655	102	275	ranking	ranking	ADJ
cana-1655	102	276	method	method	NOUN
cana-1655	102	277	for	for	ADP
cana-1655	102	278	the	the	DET
cana-1655	102	279	above	above	ADJ
cana-1655	102	280	table	table	NOUN
cana-1655	102	281	the	the	DET
cana-1655	102	282	first	first	ADJ
cana-1655	102	283	column	column	NOUN
cana-1655	102	284	represent	represent	VERB
cana-1655	102	285	the	the	DET
cana-1655	102	286	activity	activity	NOUN
cana-1655	102	287	,	,	PUNCT
cana-1655	102	288	second	second	ADJ
cana-1655	102	289	column	column	NOUN
cana-1655	102	290	represent	represent	VERB
cana-1655	102	291	the	the	DET
cana-1655	102	292	time	time	NOUN
cana-1655	102	293	duration	duration	NOUN
cana-1655	102	294	the	the	PRON
cana-1655	102	295	done	do	VERB
cana-1655	102	296	the	the	DET
cana-1655	102	297	specified	specified	ADJ
cana-1655	102	298	work	work	NOUN
cana-1655	102	299	and	and	CCONJ
cana-1655	102	300	third	third	ADJ
cana-1655	102	301	column	column	NOUN
cana-1655	102	302	represents	represent	VERB
cana-1655	102	303	the	the	DET
cana-1655	102	304	expected	expect	VERB
cana-1655	102	305	time	time	NOUN
cana-1655	102	306	using	use	VERB
cana-1655	102	307	haar	haar	X
cana-1655	102	308	ranking	ranking	ADJ
cana-1655	102	309	method	method	NOUN
cana-1655	102	310	whose	whose	DET
cana-1655	102	311	network	network	NOUN
cana-1655	102	312	was	be	AUX
cana-1655	102	313	shown	show	VERB
cana-1655	102	314	below	below	ADP
cana-1655	102	315	for	for	ADP
cana-1655	102	316	the	the	DET
cana-1655	102	317	above	above	ADJ
cana-1655	102	318	project	project	NOUN
cana-1655	102	319	network	network	NOUN
cana-1655	102	320	various	various	ADJ
cana-1655	102	321	path	path	NOUN
cana-1655	102	322	has	have	AUX
cana-1655	102	323	been	be	AUX
cana-1655	102	324	calculated	calculate	VERB
cana-1655	102	325	using	use	VERB
cana-1655	102	326	ford	ford	PROPN
cana-1655	102	327	warshall	warshall	PROPN
cana-1655	102	328	algorithm	algorithm	NOUN
cana-1655	102	329	and	and	CCONJ
cana-1655	102	330	by	by	ADP
cana-1655	102	331	applying	apply	VERB
cana-1655	102	332	the	the	DET
cana-1655	102	333	haar	haar	NOUN
cana-1655	102	334	ranking	ranking	NOUN
cana-1655	102	335	method	method	NOUN
cana-1655	102	336	the	the	DET
cana-1655	102	337	minimum	minimum	ADJ
cana-1655	102	338	path	path	NOUN
cana-1655	102	339	is	be	AUX
cana-1655	102	340	obtained	obtain	VERB
cana-1655	102	341	which	which	PRON
cana-1655	102	342	was	be	AUX
cana-1655	102	343	shown	show	VERB
cana-1655	102	344	in	in	ADP
cana-1655	102	345	table	table	NOUN
cana-1655	102	346	4	4	NUM
cana-1655	102	347	.	.	PUNCT
cana-1655	102	348	path	path	NOUN
cana-1655	102	349	project	project	PROPN
cana-1655	102	350	completion	completion	NOUN
cana-1655	102	351	time	time	NOUN
cana-1655	102	352	p1	p1	PROPN
cana-1655	102	353	:	:	PUNCT
cana-1655	102	354	1	1	NUM
cana-1655	102	355	–	–	SYM
cana-1655	102	356	2	2	NUM
cana-1655	102	357	–	–	SYM
cana-1655	102	358	5	5	NUM
cana-1655	102	359	–	–	SYM
cana-1655	102	360	7	7	NUM
cana-1655	102	361	10	10	NUM
cana-1655	102	362	p2	p2	NOUN
cana-1655	102	363	:	:	PUNCT
cana-1655	102	364	1	1	NUM
cana-1655	102	365	–	–	SYM
cana-1655	102	366	2	2	NUM
cana-1655	102	367	–	–	SYM
cana-1655	102	368	4	4	NUM
cana-1655	102	369	–	–	SYM
cana-1655	102	370	7	7	NUM
cana-1655	102	371	7.5	7.5	NUM
cana-1655	102	372	p1	p1	NOUN
cana-1655	102	373	:	:	PUNCT
cana-1655	102	374	1	1	NUM
cana-1655	102	375	–	–	SYM
cana-1655	102	376	3	3	NUM
cana-1655	102	377	–	–	SYM
cana-1655	102	378	4	4	NUM
cana-1655	102	379	–	–	SYM
cana-1655	102	380	7	7	NUM
cana-1655	102	381	8.5	8.5	NUM
cana-1655	102	382	p1	p1	NOUN
cana-1655	102	383	:	:	PUNCT
cana-1655	102	384	1	1	NUM
cana-1655	102	385	–	–	SYM
cana-1655	102	386	3	3	NUM
cana-1655	102	387	–	–	SYM
cana-1655	102	388	6	6	NUM
cana-1655	102	389	–	–	SYM
cana-1655	102	390	7	7	NUM
cana-1655	102	391	5	5	NUM
cana-1655	102	392	table	table	NOUN
cana-1655	102	393	4	4	NUM
cana-1655	102	394	:	:	PUNCT
cana-1655	102	395	project	project	VERB
cana-1655	102	396	completion	completion	NOUN
cana-1655	102	397	time	time	NOUN
cana-1655	102	398	in	in	ADP
cana-1655	102	399	the	the	DET
cana-1655	102	400	above	above	ADJ
cana-1655	102	401	example	example	NOUN
cana-1655	102	402	among	among	ADP
cana-1655	102	403	all	all	DET
cana-1655	102	404	the	the	DET
cana-1655	102	405	paths	path	NOUN
cana-1655	102	406	p4	p4	ADJ
cana-1655	102	407	:	:	PUNCT
cana-1655	102	408	1	1	NUM
cana-1655	102	409	–	–	SYM
cana-1655	102	410	3	3	NUM
cana-1655	102	411	–	–	SYM
cana-1655	102	412	6	6	NUM
cana-1655	102	413	–	–	SYM
cana-1655	102	414	7	7	NUM
cana-1655	102	415	is	be	AUX
cana-1655	102	416	identified	identify	VERB
cana-1655	102	417	as	as	ADP
cana-1655	102	418	fuzzy	fuzzy	ADJ
cana-1655	102	419	critical	critical	ADJ
cana-1655	102	420	path	path	NOUN
cana-1655	102	421	.	.	PUNCT
cana-1655	103	1	4	4	X
cana-1655	103	2	.	.	X
cana-1655	103	3	results	result	NOUN
cana-1655	103	4	in	in	ADP
cana-1655	103	5	this	this	DET
cana-1655	103	6	paper	paper	NOUN
cana-1655	103	7	floyd	floyd	PROPN
cana-1655	103	8	warshall	warshall	PROPN
cana-1655	103	9	algorithm	algorithm	PROPN
cana-1655	103	10	has	have	AUX
cana-1655	103	11	been	be	AUX
cana-1655	103	12	implemented	implement	VERB
cana-1655	103	13	in	in	ADP
cana-1655	103	14	a	a	DET
cana-1655	103	15	fuzzy	fuzzy	ADJ
cana-1655	103	16	network	network	NOUN
cana-1655	103	17	environment	environment	NOUN
cana-1655	103	18	to	to	PART
cana-1655	103	19	determine	determine	VERB
cana-1655	103	20	the	the	DET
cana-1655	103	21	critical	critical	ADJ
cana-1655	103	22	path	path	NOUN
cana-1655	103	23	using	use	VERB
cana-1655	103	24	several	several	ADJ
cana-1655	103	25	criteria	criterion	NOUN
cana-1655	103	26	.	.	PUNCT
cana-1655	104	1	octagonal	octagonal	ADJ
cana-1655	104	2	fuzzy	fuzzy	ADJ
cana-1655	104	3	number	number	NOUN
cana-1655	104	4	have	have	AUX
cana-1655	104	5	been	be	AUX
cana-1655	104	6	used	use	VERB
cana-1655	104	7	as	as	ADP
cana-1655	104	8	fuzzy	fuzzy	ADJ
cana-1655	104	9	activity	activity	NOUN
cana-1655	104	10	times	time	NOUN
cana-1655	104	11	,	,	PUNCT
cana-1655	104	12	to	to	PART
cana-1655	104	13	find	find	VERB
cana-1655	104	14	critical	critical	ADJ
cana-1655	104	15	path	path	NOUN
cana-1655	104	16	with	with	ADP
cana-1655	104	17	the	the	DET
cana-1655	104	18	help	help	NOUN
cana-1655	104	19	of	of	ADP
cana-1655	104	20	haar	haar	X
cana-1655	104	21	ranking	rank	VERB
cana-1655	104	22	octagonal	octagonal	ADJ
cana-1655	104	23	fuzzy	fuzzy	ADJ
cana-1655	104	24	number	number	NOUN
cana-1655	104	25	.	.	PUNCT
cana-1655	105	1	a	a	DET
cana-1655	105	2	new	new	ADJ
cana-1655	105	3	expected	expect	VERB
cana-1655	105	4	time	time	NOUN
cana-1655	105	5	has	have	AUX
cana-1655	105	6	been	be	AUX
cana-1655	105	7	proposed	propose	VERB
cana-1655	105	8	to	to	PART
cana-1655	105	9	select	select	VERB
cana-1655	105	10	critical	critical	ADJ
cana-1655	105	11	path	path	NOUN
cana-1655	105	12	using	use	VERB
cana-1655	105	13	floyd	floyd	PROPN
cana-1655	105	14	warshall	warshall	PROPN
cana-1655	105	15	algorithm	algorithm	PROPN
cana-1655	105	16	and	and	CCONJ
cana-1655	105	17	haar	haar	PROPN
cana-1655	105	18	communications	communication	NOUN
cana-1655	105	19	on	on	ADP
cana-1655	105	20	applied	apply	VERB
cana-1655	105	21	nonlinear	nonlinear	ADJ
cana-1655	105	22	analysis	analysis	NOUN
cana-1655	105	23	issn	issn	NOUN
cana-1655	105	24	:	:	PUNCT
cana-1655	105	25	1074	1074	NUM
cana-1655	105	26	-	-	PUNCT
cana-1655	105	27	133x	133x	NUM
cana-1655	105	28	vol	vol	NOUN
cana-1655	105	29	32	32	NUM
cana-1655	105	30	no	no	NOUN
cana-1655	105	31	.	.	NOUN
cana-1655	105	32	1	1	NUM
cana-1655	105	33	(	(	PUNCT
cana-1655	105	34	2025	2025	NUM
cana-1655	105	35	)	)	PUNCT
cana-1655	105	36	351	351	NUM
cana-1655	105	37	https://internationalpubls.com	https://internationalpubls.com	X
cana-1655	105	38	ranking	rank	VERB
cana-1655	105	39	fuzzy	fuzzy	ADJ
cana-1655	105	40	number	number	NOUN
cana-1655	105	41	as	as	ADP
cana-1655	105	42	activity	activity	NOUN
cana-1655	105	43	times	time	NOUN
cana-1655	105	44	.	.	PUNCT
cana-1655	106	1	two	two	NUM
cana-1655	106	2	numerical	numerical	ADJ
cana-1655	106	3	examples	example	NOUN
cana-1655	106	4	related	relate	VERB
cana-1655	106	5	to	to	ADP
cana-1655	106	6	this	this	DET
cana-1655	106	7	problem	problem	NOUN
cana-1655	106	8	has	have	AUX
cana-1655	106	9	provided	provide	VERB
cana-1655	106	10	to	to	PART
cana-1655	106	11	explain	explain	VERB
cana-1655	106	12	the	the	DET
cana-1655	106	13	procedure	procedure	NOUN
cana-1655	106	14	of	of	ADP
cana-1655	106	15	the	the	DET
cana-1655	106	16	proposed	propose	VERB
cana-1655	106	17	method	method	NOUN
cana-1655	106	18	in	in	ADP
cana-1655	106	19	determining	determine	VERB
cana-1655	106	20	critical	critical	ADJ
cana-1655	106	21	path	path	NOUN
cana-1655	106	22	with	with	ADP
cana-1655	106	23	different	different	ADJ
cana-1655	106	24	criteria	criterion	NOUN
cana-1655	106	25	.	.	PUNCT
cana-1655	107	1	references	reference	NOUN
cana-1655	107	2	[	[	X
cana-1655	107	3	1	1	NUM
cana-1655	107	4	]	]	PUNCT
cana-1655	107	5	s.chanas	s.chana	NOUN
cana-1655	107	6	and	and	CCONJ
cana-1655	107	7	j.kamburowski	j.kamburowski	PROPN
cana-1655	107	8	.	.	PUNCT
cana-1655	108	1	the	the	DET
cana-1655	108	2	use	use	NOUN
cana-1655	108	3	of	of	ADP
cana-1655	108	4	fuzzy	fuzzy	ADJ
cana-1655	108	5	variables	variable	NOUN
cana-1655	108	6	in	in	ADP
cana-1655	108	7	pert	pert	ADJ
cana-1655	108	8	.	.	PUNCT
cana-1655	109	1	fuzzy	fuzzy	ADJ
cana-1655	109	2	sets	set	NOUN
cana-1655	109	3	and	and	CCONJ
cana-1655	109	4	systems	system	NOUN
cana-1655	109	5	,	,	PUNCT
cana-1655	109	6	vol.5	vol.5	PROPN
cana-1655	109	7	,	,	PUNCT
cana-1655	109	8	pp	pp	ADV
cana-1655	109	9	11	11	NUM
cana-1655	109	10	19	19	NUM
cana-1655	109	11	,	,	PUNCT
cana-1655	109	12	1981	1981	NUM
cana-1655	109	13	.	.	PUNCT
cana-1655	110	1	[	[	X
cana-1655	110	2	2	2	NUM
cana-1655	110	3	]	]	X
cana-1655	110	4	d.l	d.l	PROPN
cana-1655	110	5	.	.	PROPN
cana-1655	110	6	mon	mon	PROPN
cana-1655	110	7	,	,	PUNCT
cana-1655	110	8	c.h	c.h	PROPN
cana-1655	110	9	.	.	PROPN
cana-1655	110	10	cheng	cheng	PROPN
cana-1655	110	11	and	and	CCONJ
cana-1655	110	12	h.c	h.c	PROPN
cana-1655	110	13	.	.	PUNCT
cana-1655	110	14	lu	lu	PROPN
cana-1655	110	15	.	.	PUNCT
cana-1655	111	1	applications	application	NOUN
cana-1655	111	2	of	of	ADP
cana-1655	111	3	fuzzy	fuzzy	ADJ
cana-1655	111	4	distributions	distribution	NOUN
cana-1655	111	5	in	in	ADP
cana-1655	111	6	project	project	NOUN
cana-1655	111	7	management	management	NOUN
cana-1655	111	8	,	,	PUNCT
cana-1655	111	9	fuzzy	fuzzy	ADJ
cana-1655	111	10	sets	set	NOUN
cana-1655	111	11	and	and	CCONJ
cana-1655	111	12	system	system	NOUN
cana-1655	111	13	vol.73	vol.73	ADV
cana-1655	111	14	,	,	PUNCT
cana-1655	111	15	pp	pp	ADP
cana-1655	111	16	227	227	NUM
cana-1655	111	17	234	234	NUM
cana-1655	111	18	,	,	PUNCT
cana-1655	111	19	1995	1995	NUM
cana-1655	111	20	.	.	PUNCT
cana-1655	112	1	[	[	X
cana-1655	112	2	3	3	NUM
cana-1655	112	3	]	]	X
cana-1655	112	4	m.j.liberatore	m.j.liberatore	NOUN
cana-1655	112	5	and	and	CCONJ
cana-1655	112	6	j.f	j.f	PROPN
cana-1655	112	7	.	.	PROPN
cana-1655	112	8	connelly	connelly	PROPN
cana-1655	112	9	,	,	PUNCT
cana-1655	112	10	applying	apply	VERB
cana-1655	112	11	fuzzy	fuzzy	ADJ
cana-1655	112	12	logic	logic	NOUN
cana-1655	112	13	to	to	ADP
cana-1655	112	14	critical	critical	ADJ
cana-1655	112	15	path	path	NOUN
cana-1655	112	16	analysis	analysis	NOUN
cana-1655	112	17	,	,	PUNCT
cana-1655	112	18	management	management	NOUN
cana-1655	112	19	of	of	ADP
cana-1655	112	20	energy	energy	NOUN
cana-1655	112	21	and	and	CCONJ
cana-1655	112	22	technology	technology	NOUN
cana-1655	112	23	,	,	PUNCT
cana-1655	112	24	portland	portland	PROPN
cana-1655	112	25	international	international	PROPN
cana-1655	112	26	conference	conference	NOUN
cana-1655	112	27	,	,	PUNCT
cana-1655	112	28	vol.1	vol.1	PROPN
cana-1655	112	29	,	,	PUNCT
cana-1655	112	30	pp	pp	ADP
cana-1655	112	31	419	419	NUM
cana-1655	112	32	421	421	NUM
cana-1655	112	33	,	,	PUNCT
cana-1655	112	34	2001	2001	NUM
cana-1655	112	35	.	.	PUNCT
cana-1655	113	1	[	[	X
cana-1655	113	2	4	4	X
cana-1655	113	3	]	]	PUNCT
cana-1655	113	4	s.	s.	PROPN
cana-1655	113	5	chanas	chanas	PROPN
cana-1655	113	6	and	and	CCONJ
cana-1655	113	7	p.	p.	PROPN
cana-1655	113	8	zielinski	zielinski	PROPN
cana-1655	113	9	,	,	PUNCT
cana-1655	113	10	the	the	DET
cana-1655	113	11	computational	computational	ADJ
cana-1655	113	12	complexity	complexity	NOUN
cana-1655	113	13	of	of	ADP
cana-1655	113	14	the	the	DET
cana-1655	113	15	criticality	criticality	NOUN
cana-1655	113	16	problems	problem	NOUN
cana-1655	113	17	in	in	ADP
cana-1655	113	18	a	a	DET
cana-1655	113	19	network	network	NOUN
cana-1655	113	20	withintrval	withintrval	NOUN
cana-1655	113	21	activities	activity	NOUN
cana-1655	113	22	times	time	NOUN
cana-1655	113	23	,	,	PUNCT
cana-1655	113	24	european	european	ADJ
cana-1655	113	25	journal	journal	PROPN
cana-1655	113	26	of	of	ADP
cana-1655	113	27	operational	operational	ADJ
cana-1655	113	28	research	research	NOUN
cana-1655	113	29	,	,	PUNCT
cana-1655	113	30	vol.136	vol.136	NOUN
cana-1655	113	31	,	,	PUNCT
cana-1655	113	32	pp	pp	ADP
cana-1655	113	33	541	541	NUM
cana-1655	113	34	550	550	NUM
cana-1655	113	35	,	,	PUNCT
cana-1655	113	36	2002	2002	NUM
cana-1655	113	37	.	.	PUNCT
cana-1655	114	1	[	[	X
cana-1655	114	2	5	5	NUM
cana-1655	114	3	]	]	X
cana-1655	114	4	c.t	c.t	PROPN
cana-1655	114	5	.	.	PROPN
cana-1655	114	6	chen	chen	PROPN
cana-1655	114	7	and	and	CCONJ
cana-1655	114	8	s.f.huang	s.f.huang	PROPN
cana-1655	114	9	,	,	PUNCT
cana-1655	114	10	applying	apply	VERB
cana-1655	114	11	fuzzy	fuzzy	ADJ
cana-1655	114	12	method	method	NOUN
cana-1655	114	13	for	for	ADP
cana-1655	114	14	measuring	measure	VERB
cana-1655	114	15	criticality	criticality	NOUN
cana-1655	114	16	in	in	ADP
cana-1655	114	17	project	project	NOUN
cana-1655	114	18	network	network	NOUN
cana-1655	114	19	,	,	PUNCT
cana-1655	114	20	information	information	NOUN
cana-1655	114	21	science	science	NOUN
cana-1655	114	22	,	,	PUNCT
cana-1655	114	23	vol.177	vol.177	PROPN
cana-1655	114	24	,	,	PUNCT
cana-1655	114	25	pp	pp	ADP
cana-1655	114	26	2448	2448	NUM
cana-1655	114	27	2458	2458	NUM
cana-1655	114	28	,	,	PUNCT
cana-1655	114	29	2007	2007	NUM
cana-1655	114	30	.	.	PUNCT
cana-1655	115	1	[	[	X
cana-1655	115	2	6	6	NUM
cana-1655	115	3	]	]	SYM
cana-1655	115	4	k.ghoseiri	k.ghoseiri	NOUN
cana-1655	115	5	and	and	CCONJ
cana-1655	115	6	a.r.j	a.r.j	NOUN
cana-1655	115	7	.	.	PUNCT
cana-1655	115	8	moghadam	moghadam	PROPN
cana-1655	115	9	,	,	PUNCT
cana-1655	115	10	continuous	continuous	ADJ
cana-1655	115	11	fuzzy	fuzzy	ADJ
cana-1655	115	12	longest	long	ADJ
cana-1655	115	13	path	path	NOUN
cana-1655	115	14	problem	problem	NOUN
cana-1655	115	15	in	in	ADP
cana-1655	115	16	project	project	NOUN
cana-1655	115	17	networks	network	NOUN
cana-1655	115	18	,	,	PUNCT
cana-1655	115	19	journal	journal	NOUN
cana-1655	115	20	of	of	ADP
cana-1655	115	21	applied	apply	VERB
cana-1655	115	22	sciences	science	NOUN
cana-1655	115	23	}	}	PUNCT
cana-1655	115	24	,	,	PUNCT
cana-1655	115	25	vol	vol	NOUN
cana-1655	115	26	.	.	PROPN
cana-1655	115	27	8	8	NUM
cana-1655	115	28	,	,	PUNCT
cana-1655	115	29	pp	pp	ADP
cana-1655	115	30	4061	4061	NUM
cana-1655	115	31	4069	4069	NUM
cana-1655	115	32	,	,	PUNCT
cana-1655	115	33	2008	2008	NUM
cana-1655	115	34	.	.	PUNCT
cana-1655	116	1	[	[	X
cana-1655	116	2	7	7	X
cana-1655	116	3	]	]	X
cana-1655	116	4	g.s.liang	g.s.liang	NOUN
cana-1655	116	5	and	and	CCONJ
cana-1655	116	6	t.c.han	t.c.han	PROPN
cana-1655	116	7	,	,	PUNCT
cana-1655	116	8	fuzzy	fuzzy	ADJ
cana-1655	116	9	critical	critical	ADJ
cana-1655	116	10	path	path	NOUN
cana-1655	116	11	for	for	ADP
cana-1655	116	12	project	project	NOUN
cana-1655	116	13	network	network	NOUN
cana-1655	116	14	,	,	PUNCT
cana-1655	116	15	{	{	PUNCT
cana-1655	116	16	\it	\it	NOUN
cana-1655	116	17	network	network	NOUN
cana-1655	116	18	and	and	CCONJ
cana-1655	116	19	managment	managment	NOUN
cana-1655	116	20	sciences	science	NOUN
cana-1655	116	21	}	}	PUNCT
cana-1655	116	22	,	,	PUNCT
cana-1655	116	23	vol.15	vol.15	NOUN
cana-1655	116	24	,	,	PUNCT
cana-1655	116	25	pp	pp	ADV
cana-1655	116	26	29	29	NUM
cana-1655	116	27	40	40	NUM
cana-1655	116	28	,	,	PUNCT
cana-1655	116	29	2004	2004	NUM
cana-1655	116	30	.	.	PUNCT
cana-1655	117	1	[	[	X
cana-1655	117	2	8	8	X
cana-1655	117	3	]	]	X
cana-1655	117	4	kwang	kwang	PROPN
cana-1655	117	5	h.	h.	PROPN
cana-1655	117	6	lee	lee	PROPN
cana-1655	117	7	,	,	PUNCT
cana-1655	117	8	first	first	ADJ
cana-1655	117	9	course	course	NOUN
cana-1655	117	10	on	on	ADP
cana-1655	117	11	fuzzy	fuzzy	ADJ
cana-1655	117	12	theory	theory	NOUN
cana-1655	117	13	and	and	CCONJ
cana-1655	117	14	applications	application	NOUN
cana-1655	117	15	,	,	PUNCT
cana-1655	117	16	springer	springer	NOUN
cana-1655	117	17	international	international	PROPN
cana-1655	117	18	edition	edition	PROPN
cana-1655	117	19	,	,	PUNCT
cana-1655	117	20	2005	2005	NUM
cana-1655	117	21	.	.	PUNCT
cana-1655	118	1	[	[	X
cana-1655	118	2	9	9	NUM
cana-1655	118	3	]	]	PUNCT
cana-1655	118	4	s.m.a	s.m.a	NOUN
cana-1655	118	5	nayeem	nayeem	PROPN
cana-1655	118	6	and	and	CCONJ
cana-1655	118	7	m.pal	m.pal	ADJ
cana-1655	118	8	,	,	PUNCT
cana-1655	118	9	near	near	ADV
cana-1655	118	10	-	-	PUNCT
cana-1655	118	11	shortest	short	ADJ
cana-1655	118	12	simple	simple	ADJ
cana-1655	118	13	path	path	NOUN
cana-1655	118	14	on	on	ADP
cana-1655	118	15	a	a	DET
cana-1655	118	16	network	network	NOUN
cana-1655	118	17	with	with	ADP
cana-1655	118	18	imprecise	imprecise	ADJ
cana-1655	118	19	edge	edge	NOUN
cana-1655	118	20	weights	weight	NOUN
cana-1655	118	21	,	,	PUNCT
cana-1655	118	22	{	{	PUNCT
cana-1655	118	23	\it	\it	PROPN
cana-1655	118	24	journal	journal	PROPN
cana-1655	118	25	of	of	ADP
cana-1655	118	26	physical	physical	ADJ
cana-1655	118	27	sciences	science	NOUN
cana-1655	118	28	}	}	PUNCT
cana-1655	118	29	,	,	PUNCT
cana-1655	118	30	vol	vol	NOUN
cana-1655	118	31	.	.	PROPN
cana-1655	118	32	13	13	NUM
cana-1655	118	33	,	,	PUNCT
cana-1655	118	34	pp	pp	ADV
cana-1655	118	35	223	223	NUM
cana-1655	118	36	228	228	NUM
cana-1655	118	37	,	,	PUNCT
cana-1655	118	38	2009	2009	NUM
cana-1655	118	39	.	.	PUNCT
cana-1655	119	1	[	[	X
cana-1655	119	2	10	10	NUM
cana-1655	119	3	]	]	PUNCT
cana-1655	119	4	a.	a.	NOUN
cana-1655	119	5	soltani	soltani	PROPN
cana-1655	119	6	and	and	CCONJ
cana-1655	119	7	r.haji	r.haji	NOUN
cana-1655	119	8	.	.	PUNCT
cana-1655	120	1	a	a	DET
cana-1655	120	2	project	project	NOUN
cana-1655	120	3	scheduling	scheduling	NOUN
cana-1655	120	4	method	method	NOUN
cana-1655	120	5	based	base	VERB
cana-1655	120	6	on	on	ADP
cana-1655	120	7	fuzzy	fuzzy	ADJ
cana-1655	120	8	theory	theory	NOUN
cana-1655	120	9	,	,	PUNCT
cana-1655	120	10	journal	journal	NOUN
cana-1655	120	11	of	of	ADP
cana-1655	120	12	industrial	industrial	ADJ
cana-1655	120	13	and	and	CCONJ
cana-1655	120	14	systems	system	NOUN
cana-1655	120	15	engineering	engineering	NOUN
cana-1655	120	16	,	,	PUNCT
cana-1655	120	17	vol.1	vol.1	PROPN
cana-1655	120	18	,	,	PUNCT
cana-1655	120	19	pp	pp	ADP
cana-1655	120	20	70	70	NUM
cana-1655	120	21	80	80	NUM
cana-1655	120	22	,	,	PUNCT
cana-1655	120	23	2007	2007	NUM
cana-1655	120	24	.	.	PUNCT
cana-1655	121	1	[	[	X
cana-1655	121	2	11	11	NUM
cana-1655	121	3	]	]	X
cana-1655	121	4	elizabeth	elizabeth	PROPN
cana-1655	121	5	s	s	PROPN
cana-1655	121	6	,	,	PUNCT
cana-1655	121	7	sujatha	sujatha	PROPN
cana-1655	121	8	l	l	PROPN
cana-1655	121	9	,	,	PUNCT
cana-1655	121	10	fuzzy	fuzzy	ADJ
cana-1655	121	11	critical	critical	ADJ
cana-1655	121	12	path	path	NOUN
cana-1655	121	13	problem	problem	NOUN
cana-1655	121	14	for	for	ADP
cana-1655	121	15	project	project	NOUN
cana-1655	121	16	network	network	NOUN
cana-1655	121	17	,	,	PUNCT
cana-1655	121	18	it	it	PRON
cana-1655	121	19	international	international	ADJ
cana-1655	121	20	journal	journal	NOUN
cana-1655	121	21	of	of	ADP
cana-1655	121	22	pure	pure	ADJ
cana-1655	121	23	and	and	CCONJ
cana-1655	121	24	applied	applied	ADJ
cana-1655	121	25	mathematics	mathematic	NOUN
cana-1655	121	26	}	}	PUNCT
cana-1655	121	27	,	,	PUNCT
cana-1655	121	28	vol	vol	NOUN
cana-1655	121	29	.	.	PUNCT
cana-1655	121	30	,8	,8	PUNCT
cana-1655	121	31	,	,	PUNCT
cana-1655	121	32	2013	2013	NUM
cana-1655	121	33	,	,	PUNCT
cana-1655	121	34	223240	223240	NUM
cana-1655	121	35	.	.	PUNCT
cana-1655	122	1	[	[	X
cana-1655	122	2	12	12	NUM
cana-1655	122	3	]	]	PUNCT
cana-1655	122	4	dhanasekar	dhanasekar	PROPN
cana-1655	122	5	s	s	PROPN
cana-1655	122	6	,	,	PUNCT
cana-1655	122	7	hariharan	hariharan	PROPN
cana-1655	122	8	s	s	PROPN
cana-1655	122	9	,	,	PUNCT
cana-1655	122	10	sekar	sekar	PROPN
cana-1655	122	11	p	p	X
cana-1655	122	12	,	,	PUNCT
cana-1655	122	13	ranking	rank	VERB
cana-1655	122	14	of	of	ADP
cana-1655	122	15	generalized	generalized	ADJ
cana-1655	122	16	triangular	triangular	NOUN
cana-1655	122	17	fuzzy	fuzzy	ADJ
cana-1655	122	18	number	number	NOUN
cana-1655	122	19	using	use	VERB
cana-1655	122	20	haar	haar	PROPN
cana-1655	122	21	wavelets	wavelet	NOUN
cana-1655	122	22	,	,	PUNCT
cana-1655	122	23	applied	apply	VERB
cana-1655	122	24	mathematical	mathematical	ADJ
cana-1655	122	25	sciences	science	NOUN
cana-1655	122	26	,	,	PUNCT
cana-1655	122	27	vol	vol	NOUN
cana-1655	122	28	.	.	PROPN
cana-1655	122	29	,	,	PUNCT
cana-1655	122	30	8	8	NUM
cana-1655	122	31	,	,	PUNCT
cana-1655	122	32	2014	2014	NUM
cana-1655	122	33	,	,	PUNCT
cana-1655	122	34	157	157	NUM
cana-1655	122	35	–	–	SYM
cana-1655	122	36	160	160	NUM
cana-1655	122	37	.	.	PUNCT
cana-1655	123	1	[	[	X
cana-1655	123	2	13	13	NUM
cana-1655	123	3	]	]	PUNCT
cana-1655	123	4	dhanasekars	dhanasekar	NOUN
cana-1655	123	5	,	,	PUNCT
cana-1655	123	6	hariharan	hariharan	PROPN
cana-1655	123	7	s	s	PROPN
cana-1655	123	8	,	,	PUNCT
cana-1655	123	9	mannivannan	mannivannan	NOUN
cana-1655	123	10	a	a	PRON
cana-1655	123	11	and	and	CCONJ
cana-1655	123	12	uma	uma	PROPN
cana-1655	123	13	maheswari	maheswari	PROPN
cana-1655	123	14	e	e	PROPN
cana-1655	123	15	,	,	PUNCT
cana-1655	123	16	haar	haar	X
cana-1655	123	17	critical	critical	ADJ
cana-1655	123	18	method	method	NOUN
cana-1655	123	19	to	to	PART
cana-1655	123	20	solve	solve	VERB
cana-1655	123	21	fuzzy	fuzzy	ADJ
cana-1655	123	22	critical	critical	ADJ
cana-1655	123	23	path	path	NOUN
cana-1655	123	24	problems	problem	NOUN
cana-1655	123	25	,	,	PUNCT
cana-1655	123	26	international	international	ADJ
cana-1655	123	27	journal	journal	NOUN
cana-1655	123	28	of	of	ADP
cana-1655	123	29	recent	recent	ADJ
cana-1655	123	30	technology	technology	NOUN
cana-1655	123	31	and	and	CCONJ
cana-1655	123	32	engineering	engineering	NOUN
cana-1655	123	33	,	,	PUNCT
cana-1655	123	34	vol	vol	NOUN
cana-1655	123	35	.	.	PROPN
cana-1655	123	36	,	,	PUNCT
cana-1655	123	37	7	7	NUM
cana-1655	123	38	,	,	PUNCT
cana-1655	123	39	2019	2019	NUM
cana-1655	123	40	,	,	PUNCT
cana-1655	123	41	1599	1599	NUM
cana-1655	123	42	1604	1604	NUM
cana-1655	123	43	[	[	X
cana-1655	123	44	14	14	NUM
cana-1655	123	45	]	]	X
cana-1655	123	46	strang	strang	PROPN
cana-1655	123	47	g	g	PROPN
cana-1655	123	48	,	,	PUNCT
cana-1655	123	49	nguyen	nguyen	PROPN
cana-1655	123	50	t	t	PROPN
cana-1655	123	51	,	,	PUNCT
cana-1655	123	52	wavelets	wavelet	NOUN
cana-1655	123	53	and	and	CCONJ
cana-1655	123	54	filter	filter	NOUN
cana-1655	123	55	banks	bank	NOUN
cana-1655	123	56	,	,	PUNCT
cana-1655	123	57	wesley	wesley	NOUN
cana-1655	123	58	-cambridge	-cambridge	PROPN
cana-1655	123	59	press	press	NOUN
cana-1655	123	60	,	,	PUNCT
cana-1655	123	61	1999	1999	NUM
cana-1655	123	62	[	[	X
cana-1655	123	63	15	15	NUM
cana-1655	123	64	]	]	X
cana-1655	123	65	karthik	karthik	PROPN
cana-1655	123	66	s	s	PROPN
cana-1655	123	67	,	,	PUNCT
cana-1655	123	68	punithevelan	punithevelan	NOUN
cana-1655	123	69	and	and	CCONJ
cana-1655	123	70	saroj	saroj	PROPN
cana-1655	123	71	kumar	kumar	PROPN
cana-1655	123	72	dash	dash	NOUN
cana-1655	123	73	,	,	PUNCT
cana-1655	123	74	haar	haar	X
cana-1655	123	75	ranking	ranking	ADJ
cana-1655	123	76	of	of	ADP
cana-1655	123	77	linear	linear	ADJ
cana-1655	123	78	and	and	CCONJ
cana-1655	123	79	non	non	ADJ
cana-1655	123	80	-	-	ADJ
cana-1655	123	81	linear	linear	ADJ
cana-1655	123	82	heptagibak	heptagibak	NOUN
cana-1655	123	83	fuzzy	fuzzy	ADJ
cana-1655	123	84	number	number	NOUN
cana-1655	123	85	and	and	CCONJ
cana-1655	123	86	its	its	PRON
cana-1655	123	87	applications	application	NOUN
cana-1655	123	88	,	,	PUNCT
cana-1655	123	89	international	international	ADJ
cana-1655	123	90	journal	journal	NOUN
cana-1655	123	91	of	of	ADP
cana-1655	123	92	innovation	innovation	NOUN
cana-1655	123	93	technology	technology	NOUN
cana-1655	123	94	and	and	CCONJ
cana-1655	123	95	exploring	explore	VERB
cana-1655	123	96	engineering	engineering	NOUN
cana-1655	123	97	,	,	PUNCT
cana-1655	123	98	2019	2019	NUM
cana-1655	123	99	.	.	PUNCT
cana-1655	124	1	[	[	X
cana-1655	124	2	16	16	NUM
cana-1655	124	3	]	]	PUNCT
cana-1655	124	4	rameshan	rameshan	NOUN
cana-1655	124	5	a	a	PRON
cana-1655	124	6	,	,	PUNCT
cana-1655	124	7	stephen	stephen	PROPN
cana-1655	124	8	dinagar	dinagar	PROPN
cana-1655	124	9	d	d	PROPN
cana-1655	124	10	,	,	PUNCT
cana-1655	124	11	solving	solve	VERB
cana-1655	124	12	fuzzy	fuzzy	ADJ
cana-1655	124	13	timecost	timecost	NOUN
cana-1655	124	14	trade	trade	VERB
cana-1655	124	15	off	off	ADP
cana-1655	124	16	problem	problem	NOUN
cana-1655	124	17	using	use	VERB
cana-1655	124	18	haar	haar	X
cana-1655	124	19	critical	critical	ADJ
cana-1655	124	20	path	path	NOUN
cana-1655	124	21	method	method	NOUN
cana-1655	124	22	of	of	ADP
cana-1655	124	23	octagonal	octagonal	ADJ
cana-1655	124	24	fuzzy	fuzzy	ADJ
cana-1655	124	25	numbers	number	NOUN
cana-1655	124	26	,	,	PUNCT
cana-1655	124	27	advances	advance	NOUN
cana-1655	124	28	and	and	CCONJ
cana-1655	124	29	applications	application	NOUN
cana-1655	124	30	in	in	ADP
cana-1655	124	31	mathematical	mathematical	ADJ
cana-1655	124	32	sciences	science	NOUN
cana-1655	124	33	,	,	PUNCT
cana-1655	124	34	vol	vol	NOUN
cana-1655	124	35	.	.	PROPN
cana-1655	124	36	,	,	PUNCT
cana-1655	124	37	21	21	NUM
cana-1655	124	38	,	,	PUNCT
cana-1655	124	39	2021	2021	NUM
cana-1655	124	40	,	,	PUNCT
cana-1655	124	41	907	907	NUM
cana-1655	124	42	922	922	NUM
cana-1655	124	43	.	.	PUNCT
