id	sid	tid	token	lemma	pos
cana-5657	1	1	communications	communication	NOUN
cana-5657	1	2	on	on	ADP
cana-5657	1	3	applied	apply	VERB
cana-5657	1	4	nonlinear	nonlinear	ADJ
cana-5657	1	5	analysis	analysis	NOUN
cana-5657	1	6	issn	issn	NOUN
cana-5657	1	7	:	:	PUNCT
cana-5657	1	8	1074	1074	NUM
cana-5657	1	9	-	-	PUNCT
cana-5657	1	10	133x	133x	NUM
cana-5657	1	11	vol	vol	VERB
cana-5657	1	12	32	32	NUM
cana-5657	1	13	no	no	NOUN
cana-5657	1	14	.	.	PUNCT
cana-5657	2	1	10s	10	NOUN
cana-5657	2	2	(	(	PUNCT
cana-5657	2	3	2025	2025	NUM
cana-5657	2	4	)	)	PUNCT
cana-5657	2	5	2634	2634	NUM
cana-5657	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	2	7	neutrosophic	neutrosophic	ADJ
cana-5657	2	8	credibility	credibility	NOUN
cana-5657	2	9	bounds	bound	VERB
cana-5657	2	10	of	of	ADP
cana-5657	2	11	the	the	DET
cana-5657	2	12	xexponential	xexponential	ADJ
cana-5657	2	13	distribution	distribution	NOUN
cana-5657	2	14	naim	naim	PROPN
cana-5657	2	15	boudjelida	boudjelida	PROPN
cana-5657	2	16	laboratory	laboratory	NOUN
cana-5657	2	17	of	of	ADP
cana-5657	2	18	probability	probability	NOUN
cana-5657	2	19	and	and	CCONJ
cana-5657	2	20	statistics	statistic	NOUN
cana-5657	2	21	(	(	PUNCT
cana-5657	2	22	laps	laps	X
cana-5657	2	23	)	)	PUNCT
cana-5657	2	24	,	,	PUNCT
cana-5657	2	25	badji	badji	PROPN
cana-5657	2	26	mokhtar	mokhtar	PROPN
cana-5657	2	27	-	-	PUNCT
cana-5657	2	28	annaba	annaba	PROPN
cana-5657	2	29	university	university	PROPN
cana-5657	2	30	p.	p.	PROPN
cana-5657	2	31	o.	o.	PROPN
cana-5657	2	32	box	box	PROPN
cana-5657	2	33	12	12	NUM
cana-5657	2	34	,	,	PUNCT
cana-5657	2	35	23000	23000	NUM
cana-5657	2	36	annaba	annaba	PROPN
cana-5657	2	37	,	,	PUNCT
cana-5657	2	38	algeria	algeria	PROPN
cana-5657	2	39	e	e	PROPN
cana-5657	2	40	-	-	NOUN
cana-5657	2	41	mail	mail	NOUN
cana-5657	2	42	:	:	PUNCT
cana-5657	2	43	naim.boudjelida@univ-annaba.dz	naim.boudjelida@univ-annaba.dz	NUM
cana-5657	2	44	article	article	NOUN
cana-5657	2	45	history	history	NOUN
cana-5657	2	46	:	:	PUNCT
cana-5657	2	47	received	receive	VERB
cana-5657	2	48	:	:	PUNCT
cana-5657	2	49	12	12	NUM
cana-5657	2	50	-	-	SYM
cana-5657	2	51	01	01	NUM
cana-5657	2	52	-	-	PUNCT
cana-5657	2	53	2025	2025	NUM
cana-5657	2	54	revised	revise	VERB
cana-5657	2	55	:	:	PUNCT
cana-5657	2	56	15	15	NUM
cana-5657	2	57	-	-	NUM
cana-5657	2	58	02	02	NUM
cana-5657	2	59	-	-	PUNCT
cana-5657	2	60	2025	2025	NUM
cana-5657	2	61	accepted	accept	VERB
cana-5657	2	62	:	:	PUNCT
cana-5657	2	63	01	01	NUM
cana-5657	2	64	-	-	SYM
cana-5657	2	65	03	03	NUM
cana-5657	2	66	-	-	PUNCT
cana-5657	2	67	2025	2025	NUM
cana-5657	2	68	abstract	abstract	NOUN
cana-5657	2	69	:	:	PUNCT
cana-5657	2	70	classical	classical	ADJ
cana-5657	2	71	probability	probability	NOUN
cana-5657	2	72	theory	theory	NOUN
cana-5657	2	73	models	model	VERB
cana-5657	2	74	uncertainty	uncertainty	NOUN
cana-5657	2	75	through	through	ADP
cana-5657	2	76	precise	precise	ADJ
cana-5657	2	77	distributions	distribution	NOUN
cana-5657	2	78	and	and	CCONJ
cana-5657	2	79	point	point	NOUN
cana-5657	2	80	-	-	PUNCT
cana-5657	2	81	based	base	VERB
cana-5657	2	82	estimates	estimate	NOUN
cana-5657	2	83	.	.	PUNCT
cana-5657	3	1	however	however	ADV
cana-5657	3	2	,	,	PUNCT
cana-5657	3	3	real	real	ADJ
cana-5657	3	4	-	-	PUNCT
cana-5657	3	5	world	world	NOUN
cana-5657	3	6	data	datum	NOUN
cana-5657	3	7	often	often	ADV
cana-5657	3	8	exhibit	exhibit	VERB
cana-5657	3	9	imprecision	imprecision	NOUN
cana-5657	3	10	,	,	PUNCT
cana-5657	3	11	vagueness	vagueness	NOUN
cana-5657	3	12	,	,	PUNCT
cana-5657	3	13	and	and	CCONJ
cana-5657	3	14	conflicting	conflicting	ADJ
cana-5657	3	15	evidence	evidence	NOUN
cana-5657	3	16	—	—	PUNCT
cana-5657	3	17	forms	form	NOUN
cana-5657	3	18	of	of	ADP
cana-5657	3	19	uncertainty	uncertainty	NOUN
cana-5657	3	20	that	that	SCONJ
cana-5657	3	21	traditional	traditional	ADJ
cana-5657	3	22	models	model	NOUN
cana-5657	3	23	are	be	AUX
cana-5657	3	24	ill	ill	ADV
cana-5657	3	25	-	-	PUNCT
cana-5657	3	26	equipped	equip	VERB
cana-5657	3	27	to	to	PART
cana-5657	3	28	handle	handle	VERB
cana-5657	3	29	.	.	PUNCT
cana-5657	4	1	this	this	DET
cana-5657	4	2	paper	paper	NOUN
cana-5657	4	3	proposes	propose	VERB
cana-5657	4	4	a	a	DET
cana-5657	4	5	novel	novel	ADJ
cana-5657	4	6	framework	framework	NOUN
cana-5657	4	7	for	for	ADP
cana-5657	4	8	deriving	derive	VERB
cana-5657	4	9	credibility	credibility	NOUN
cana-5657	4	10	-	-	PUNCT
cana-5657	4	11	based	base	VERB
cana-5657	4	12	interval	interval	NOUN
cana-5657	4	13	estimates	estimate	NOUN
cana-5657	4	14	for	for	ADP
cana-5657	4	15	the	the	DET
cana-5657	4	16	xexponential	xexponential	ADJ
cana-5657	4	17	distribution	distribution	NOUN
cana-5657	4	18	using	use	VERB
cana-5657	4	19	neutrosophic	neutrosophic	ADJ
cana-5657	4	20	logic	logic	NOUN
cana-5657	4	21	.	.	PUNCT
cana-5657	5	1	neutrosophic	neutrosophic	ADJ
cana-5657	5	2	sets	set	NOUN
cana-5657	5	3	characterize	characterize	VERB
cana-5657	5	4	uncertainty	uncertainty	NOUN
cana-5657	5	5	through	through	ADP
cana-5657	5	6	independent	independent	ADJ
cana-5657	5	7	measures	measure	NOUN
cana-5657	5	8	of	of	ADP
cana-5657	5	9	truth	truth	NOUN
cana-5657	5	10	,	,	PUNCT
cana-5657	5	11	indeterminacy	indeterminacy	NOUN
cana-5657	5	12	,	,	PUNCT
cana-5657	5	13	and	and	CCONJ
cana-5657	5	14	falsity	falsity	NOUN
cana-5657	5	15	,	,	PUNCT
cana-5657	5	16	providing	provide	VERB
cana-5657	5	17	a	a	DET
cana-5657	5	18	richer	rich	ADJ
cana-5657	5	19	and	and	CCONJ
cana-5657	5	20	more	more	ADV
cana-5657	5	21	flexible	flexible	ADJ
cana-5657	5	22	representation	representation	NOUN
cana-5657	5	23	.	.	PUNCT
cana-5657	6	1	by	by	ADP
cana-5657	6	2	integrating	integrate	VERB
cana-5657	6	3	this	this	PRON
cana-5657	6	4	with	with	ADP
cana-5657	6	5	credibility	credibility	NOUN
cana-5657	6	6	theory	theory	NOUN
cana-5657	6	7	,	,	PUNCT
cana-5657	6	8	we	we	PRON
cana-5657	6	9	define	define	VERB
cana-5657	6	10	neutrosophic	neutrosophic	ADJ
cana-5657	6	11	credibility	credibility	NOUN
cana-5657	6	12	bounds	bound	NOUN
cana-5657	6	13	(	(	PUNCT
cana-5657	6	14	ncbs	ncbs	NOUN
cana-5657	6	15	)	)	PUNCT
cana-5657	6	16	,	,	PUNCT
cana-5657	6	17	which	which	PRON
cana-5657	6	18	quantify	quantify	VERB
cana-5657	6	19	the	the	DET
cana-5657	6	20	plausible	plausible	ADJ
cana-5657	6	21	range	range	NOUN
cana-5657	6	22	of	of	ADP
cana-5657	6	23	a	a	DET
cana-5657	6	24	neutrosophic	neutrosophic	ADJ
cana-5657	6	25	random	random	ADJ
cana-5657	6	26	variable	variable	NOUN
cana-5657	6	27	governed	govern	VERB
cana-5657	6	28	by	by	ADP
cana-5657	6	29	the	the	DET
cana-5657	6	30	xexponential	xexponential	ADJ
cana-5657	6	31	distribution	distribution	NOUN
cana-5657	6	32	.	.	PUNCT
cana-5657	7	1	analytical	analytical	ADJ
cana-5657	7	2	properties	property	NOUN
cana-5657	7	3	are	be	AUX
cana-5657	7	4	derived	derive	VERB
cana-5657	7	5	,	,	PUNCT
cana-5657	7	6	and	and	CCONJ
cana-5657	7	7	a	a	DET
cana-5657	7	8	simulation	simulation	NOUN
cana-5657	7	9	study	study	NOUN
cana-5657	7	10	is	be	AUX
cana-5657	7	11	conducted	conduct	VERB
cana-5657	7	12	to	to	PART
cana-5657	7	13	explore	explore	VERB
cana-5657	7	14	the	the	DET
cana-5657	7	15	behavior	behavior	NOUN
cana-5657	7	16	of	of	ADP
cana-5657	7	17	the	the	DET
cana-5657	7	18	bounds	bound	NOUN
cana-5657	7	19	under	under	ADP
cana-5657	7	20	varying	vary	VERB
cana-5657	7	21	credibility	credibility	NOUN
cana-5657	7	22	levels	level	NOUN
cana-5657	7	23	and	and	CCONJ
cana-5657	7	24	thresholds	threshold	NOUN
cana-5657	7	25	.	.	PUNCT
cana-5657	8	1	the	the	DET
cana-5657	8	2	proposed	propose	VERB
cana-5657	8	3	model	model	NOUN
cana-5657	8	4	is	be	AUX
cana-5657	8	5	also	also	ADV
cana-5657	8	6	applied	apply	VERB
cana-5657	8	7	to	to	ADP
cana-5657	8	8	real	real	ADJ
cana-5657	8	9	actuarial	actuarial	ADJ
cana-5657	8	10	data	datum	NOUN
cana-5657	8	11	,	,	PUNCT
cana-5657	8	12	demonstrating	demonstrate	VERB
cana-5657	8	13	its	its	PRON
cana-5657	8	14	effectiveness	effectiveness	NOUN
cana-5657	8	15	in	in	ADP
cana-5657	8	16	risk	risk	NOUN
cana-5657	8	17	modeling	modeling	NOUN
cana-5657	8	18	where	where	SCONJ
cana-5657	8	19	data	datum	NOUN
cana-5657	8	20	incompleteness	incompleteness	NOUN
cana-5657	8	21	and	and	CCONJ
cana-5657	8	22	subjectivity	subjectivity	NOUN
cana-5657	8	23	are	be	AUX
cana-5657	8	24	prevalent	prevalent	ADJ
cana-5657	8	25	.	.	PUNCT
cana-5657	9	1	the	the	DET
cana-5657	9	2	framework	framework	NOUN
cana-5657	9	3	offers	offer	VERB
cana-5657	9	4	a	a	DET
cana-5657	9	5	robust	robust	ADJ
cana-5657	9	6	alternative	alternative	NOUN
cana-5657	9	7	to	to	ADP
cana-5657	9	8	classical	classical	ADJ
cana-5657	9	9	confidence	confidence	NOUN
cana-5657	9	10	intervals	interval	NOUN
cana-5657	9	11	,	,	PUNCT
cana-5657	9	12	particularly	particularly	ADV
cana-5657	9	13	in	in	ADP
cana-5657	9	14	decision	decision	NOUN
cana-5657	9	15	-	-	PUNCT
cana-5657	9	16	making	make	VERB
cana-5657	9	17	environments	environment	NOUN
cana-5657	9	18	shaped	shape	VERB
cana-5657	9	19	by	by	ADP
cana-5657	9	20	hybrid	hybrid	ADJ
cana-5657	9	21	uncertainty	uncertainty	NOUN
cana-5657	9	22	.	.	PUNCT
cana-5657	10	1	keywords	keyword	NOUN
cana-5657	10	2	:	:	PUNCT
cana-5657	10	3	neutrosophic	neutrosophic	ADJ
cana-5657	10	4	logic	logic	NOUN
cana-5657	10	5	,	,	PUNCT
cana-5657	10	6	credibility	credibility	NOUN
cana-5657	10	7	theory	theory	NOUN
cana-5657	10	8	,	,	PUNCT
cana-5657	10	9	xexponential	xexponential	ADJ
cana-5657	10	10	distribution	distribution	NOUN
cana-5657	10	11	,	,	PUNCT
cana-5657	10	12	interval	interval	NOUN
cana-5657	10	13	estimation	estimation	NOUN
cana-5657	10	14	,	,	PUNCT
cana-5657	10	15	imprecise	imprecise	ADV
cana-5657	10	16	data	datum	NOUN
cana-5657	10	17	,	,	PUNCT
cana-5657	10	18	actuarial	actuarial	ADJ
cana-5657	10	19	science	science	NOUN
cana-5657	10	20	,	,	PUNCT
cana-5657	10	21	uncertainty	uncertainty	NOUN
cana-5657	10	22	modeling	model	VERB
cana-5657	10	23	1	1	NUM
cana-5657	10	24	.	.	PUNCT
cana-5657	11	1	introduction	introduction	NOUN
cana-5657	11	2	uncertainty	uncertainty	NOUN
cana-5657	11	3	is	be	AUX
cana-5657	11	4	a	a	DET
cana-5657	11	5	fundamental	fundamental	ADJ
cana-5657	11	6	characteristic	characteristic	NOUN
cana-5657	11	7	in	in	ADP
cana-5657	11	8	many	many	ADJ
cana-5657	11	9	practical	practical	ADJ
cana-5657	11	10	systems	system	NOUN
cana-5657	11	11	,	,	PUNCT
cana-5657	11	12	particularly	particularly	ADV
cana-5657	11	13	those	those	PRON
cana-5657	11	14	involving	involve	VERB
cana-5657	11	15	incomplete	incomplete	ADJ
cana-5657	11	16	,	,	PUNCT
cana-5657	11	17	imprecise	imprecise	ADV
cana-5657	11	18	,	,	PUNCT
cana-5657	11	19	or	or	CCONJ
cana-5657	11	20	inconsistent	inconsistent	ADJ
cana-5657	11	21	data	datum	NOUN
cana-5657	11	22	.	.	PUNCT
cana-5657	12	1	traditional	traditional	ADJ
cana-5657	12	2	probabilistic	probabilistic	ADJ
cana-5657	12	3	models	model	NOUN
cana-5657	12	4	often	often	ADV
cana-5657	12	5	assume	assume	VERB
cana-5657	12	6	full	full	ADJ
cana-5657	12	7	knowledge	knowledge	NOUN
cana-5657	12	8	of	of	ADP
cana-5657	12	9	underlying	underlie	VERB
cana-5657	12	10	distributions	distribution	NOUN
cana-5657	12	11	,	,	PUNCT
cana-5657	12	12	which	which	PRON
cana-5657	12	13	limits	limit	VERB
cana-5657	12	14	their	their	PRON
cana-5657	12	15	applicability	applicability	NOUN
cana-5657	12	16	in	in	ADP
cana-5657	12	17	vague	vague	ADJ
cana-5657	12	18	or	or	CCONJ
cana-5657	12	19	fuzzy	fuzzy	ADJ
cana-5657	12	20	environments	environment	NOUN
cana-5657	12	21	.	.	PUNCT
cana-5657	13	1	the	the	DET
cana-5657	13	2	xexponential	xexponential	ADJ
cana-5657	13	3	distribution	distribution	NOUN
cana-5657	13	4	,	,	PUNCT
cana-5657	13	5	introduced	introduce	VERB
cana-5657	13	6	as	as	ADP
cana-5657	13	7	an	an	DET
cana-5657	13	8	alternative	alternative	NOUN
cana-5657	13	9	to	to	ADP
cana-5657	13	10	the	the	DET
cana-5657	13	11	classical	classical	ADJ
cana-5657	13	12	exponential	exponential	ADJ
cana-5657	13	13	model	model	NOUN
cana-5657	13	14	,	,	PUNCT
cana-5657	13	15	offers	offer	VERB
cana-5657	13	16	additional	additional	ADJ
cana-5657	13	17	flexibility	flexibility	NOUN
cana-5657	13	18	in	in	ADP
cana-5657	13	19	modeling	model	VERB
cana-5657	13	20	lifetime	lifetime	NOUN
cana-5657	13	21	data	datum	NOUN
cana-5657	13	22	and	and	CCONJ
cana-5657	13	23	stochastic	stochastic	ADJ
cana-5657	13	24	processes	process	NOUN
cana-5657	13	25	with	with	ADP
cana-5657	13	26	skewness	skewness	NOUN
cana-5657	13	27	and	and	CCONJ
cana-5657	13	28	heavy	heavy	ADJ
cana-5657	13	29	tails	tail	NOUN
cana-5657	13	30	[	[	X
cana-5657	13	31	2,1	2,1	NUM
cana-5657	13	32	]	]	PUNCT
cana-5657	13	33	.	.	PUNCT
cana-5657	14	1	however	however	ADV
cana-5657	14	2	,	,	PUNCT
cana-5657	14	3	further	further	ADJ
cana-5657	14	4	generalization	generalization	NOUN
cana-5657	14	5	is	be	AUX
cana-5657	14	6	needed	need	VERB
cana-5657	14	7	to	to	PART
cana-5657	14	8	incorporate	incorporate	VERB
cana-5657	14	9	different	different	ADJ
cana-5657	14	10	types	type	NOUN
cana-5657	14	11	of	of	ADP
cana-5657	14	12	uncertainty	uncertainty	NOUN
cana-5657	14	13	that	that	PRON
cana-5657	14	14	go	go	VERB
cana-5657	14	15	beyond	beyond	ADP
cana-5657	14	16	randomness	randomness	NOUN
cana-5657	14	17	—	—	PUNCT
cana-5657	14	18	particularly	particularly	ADV
cana-5657	14	19	those	those	PRON
cana-5657	14	20	arising	arise	VERB
cana-5657	14	21	from	from	ADP
cana-5657	14	22	subjective	subjective	ADJ
cana-5657	14	23	judgment	judgment	NOUN
cana-5657	14	24	,	,	PUNCT
cana-5657	14	25	conflicting	conflicting	ADJ
cana-5657	14	26	evidence	evidence	NOUN
cana-5657	14	27	,	,	PUNCT
cana-5657	14	28	and	and	CCONJ
cana-5657	14	29	partial	partial	ADJ
cana-5657	14	30	truth	truth	NOUN
cana-5657	14	31	.	.	PUNCT
cana-5657	15	1	this	this	PRON
cana-5657	15	2	motivates	motivate	VERB
cana-5657	15	3	the	the	DET
cana-5657	15	4	integration	integration	NOUN
cana-5657	15	5	of	of	ADP
cana-5657	15	6	two	two	NUM
cana-5657	15	7	powerful	powerful	ADJ
cana-5657	15	8	mathematical	mathematical	ADJ
cana-5657	15	9	frameworks	framework	NOUN
cana-5657	15	10	:	:	PUNCT
cana-5657	15	11	neutrosophic	neutrosophic	ADJ
cana-5657	15	12	set	set	NOUN
cana-5657	15	13	theory	theory	NOUN
cana-5657	15	14	and	and	CCONJ
cana-5657	15	15	credibility	credibility	NOUN
cana-5657	15	16	theory	theory	NOUN
cana-5657	15	17	.	.	PUNCT
cana-5657	16	1	neutrosophic	neutrosophic	PROPN
cana-5657	16	2	set	set	PROPN
cana-5657	16	3	theory	theory	NOUN
cana-5657	16	4	,	,	PUNCT
cana-5657	16	5	developed	develop	VERB
cana-5657	16	6	by	by	ADP
cana-5657	16	7	smarandache	smarandache	NOUN
cana-5657	17	1	[	[	X
cana-5657	17	2	5	5	NUM
cana-5657	17	3	]	]	PUNCT
cana-5657	17	4	,	,	PUNCT
cana-5657	17	5	allows	allow	VERB
cana-5657	17	6	each	each	DET
cana-5657	17	7	element	element	NOUN
cana-5657	17	8	to	to	PART
cana-5657	17	9	have	have	VERB
cana-5657	17	10	degrees	degree	NOUN
cana-5657	17	11	of	of	ADP
cana-5657	17	12	truth	truth	NOUN
cana-5657	17	13	(	(	PUNCT
cana-5657	17	14	t	t	NOUN
cana-5657	17	15	)	)	PUNCT
cana-5657	17	16	,	,	PUNCT
cana-5657	17	17	indeterminacy	indeterminacy	NOUN
cana-5657	17	18	(	(	PUNCT
cana-5657	17	19	i	i	NOUN
cana-5657	17	20	)	)	PUNCT
cana-5657	17	21	,	,	PUNCT
cana-5657	17	22	and	and	CCONJ
cana-5657	17	23	falsity	falsity	NOUN
cana-5657	17	24	(	(	PUNCT
cana-5657	17	25	f	f	X
cana-5657	17	26	)	)	PUNCT
cana-5657	17	27	within	within	ADP
cana-5657	17	28	a	a	DET
cana-5657	17	29	nonstandard	nonstandard	ADJ
cana-5657	17	30	interval	interval	NOUN
cana-5657	17	31	[	[	X
cana-5657	17	32	0−,1+][0	0−,1+][0	X
cana-5657	17	33	^	^	NOUN
cana-5657	17	34	-	-	PUNCT
cana-5657	17	35	,	,	PUNCT
cana-5657	17	36	1^+][0−,1	1^+][0−,1	NUM
cana-5657	17	37	+	+	NOUN
cana-5657	17	38	]	]	PUNCT
cana-5657	17	39	.	.	PUNCT
cana-5657	18	1	this	this	DET
cana-5657	18	2	structure	structure	NOUN
cana-5657	18	3	provides	provide	VERB
cana-5657	18	4	a	a	DET
cana-5657	18	5	powerful	powerful	ADJ
cana-5657	18	6	generalization	generalization	NOUN
cana-5657	18	7	of	of	ADP
cana-5657	18	8	fuzzy	fuzzy	ADJ
cana-5657	18	9	and	and	CCONJ
cana-5657	18	10	intuitionistic	intuitionistic	ADJ
cana-5657	18	11	fuzzy	fuzzy	ADJ
cana-5657	18	12	sets	set	NOUN
cana-5657	18	13	,	,	PUNCT
cana-5657	18	14	capable	capable	ADJ
cana-5657	18	15	of	of	ADP
cana-5657	18	16	modeling	model	VERB
cana-5657	18	17	uncertainty	uncertainty	NOUN
cana-5657	18	18	with	with	ADP
cana-5657	18	19	a	a	DET
cana-5657	18	20	more	more	ADV
cana-5657	18	21	granular	granular	ADJ
cana-5657	18	22	and	and	CCONJ
cana-5657	18	23	flexible	flexible	ADJ
cana-5657	18	24	logic	logic	NOUN
cana-5657	18	25	.	.	PUNCT
cana-5657	19	1	mailto:naim.boudjelida@univ-annaba.dz	mailto:naim.boudjelida@univ-annaba.dz	NOUN
cana-5657	19	2	communications	communication	NOUN
cana-5657	19	3	on	on	ADP
cana-5657	19	4	applied	apply	VERB
cana-5657	19	5	nonlinear	nonlinear	ADJ
cana-5657	19	6	analysis	analysis	NOUN
cana-5657	19	7	issn	issn	NOUN
cana-5657	19	8	:	:	PUNCT
cana-5657	19	9	1074	1074	NUM
cana-5657	19	10	-	-	PUNCT
cana-5657	19	11	133x	133x	NUM
cana-5657	19	12	vol	vol	VERB
cana-5657	19	13	32	32	NUM
cana-5657	19	14	no	no	NOUN
cana-5657	19	15	.	.	PUNCT
cana-5657	20	1	10s	10	NOUN
cana-5657	20	2	(	(	PUNCT
cana-5657	20	3	2025	2025	NUM
cana-5657	20	4	)	)	PUNCT
cana-5657	20	5	2635	2635	NUM
cana-5657	20	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	20	7	in	in	ADP
cana-5657	20	8	parallel	parallel	NOUN
cana-5657	20	9	,	,	PUNCT
cana-5657	20	10	credibility	credibility	NOUN
cana-5657	20	11	theory	theory	NOUN
cana-5657	20	12	,	,	PUNCT
cana-5657	20	13	introduced	introduce	VERB
cana-5657	20	14	by	by	ADP
cana-5657	20	15	liu	liu	PROPN
cana-5657	21	1	[	[	X
cana-5657	21	2	6	6	NUM
cana-5657	21	3	]	]	PUNCT
cana-5657	21	4	,	,	PUNCT
cana-5657	21	5	provides	provide	VERB
cana-5657	21	6	a	a	DET
cana-5657	21	7	self	self	NOUN
cana-5657	21	8	-	-	PUNCT
cana-5657	21	9	dual	dual	ADJ
cana-5657	21	10	belief	belief	NOUN
cana-5657	21	11	measure	measure	NOUN
cana-5657	21	12	framework	framework	NOUN
cana-5657	21	13	that	that	PRON
cana-5657	21	14	is	be	AUX
cana-5657	21	15	especially	especially	ADV
cana-5657	21	16	suited	suit	VERB
cana-5657	21	17	to	to	ADP
cana-5657	21	18	evaluating	evaluate	VERB
cana-5657	21	19	fuzzy	fuzzy	ADJ
cana-5657	21	20	events	event	NOUN
cana-5657	21	21	.	.	PUNCT
cana-5657	22	1	it	it	PRON
cana-5657	22	2	has	have	AUX
cana-5657	22	3	become	become	VERB
cana-5657	22	4	increasingly	increasingly	ADV
cana-5657	22	5	important	important	ADJ
cana-5657	22	6	in	in	ADP
cana-5657	22	7	uncertain	uncertain	ADJ
cana-5657	22	8	decision	decision	NOUN
cana-5657	22	9	-	-	PUNCT
cana-5657	22	10	making	make	VERB
cana-5657	22	11	environments	environment	NOUN
cana-5657	22	12	where	where	SCONJ
cana-5657	22	13	classical	classical	ADJ
cana-5657	22	14	probability	probability	NOUN
cana-5657	22	15	fails	fail	VERB
cana-5657	22	16	to	to	PART
cana-5657	22	17	reflect	reflect	VERB
cana-5657	22	18	epistemic	epistemic	ADJ
cana-5657	22	19	ambiguity	ambiguity	NOUN
cana-5657	22	20	.	.	PUNCT
cana-5657	23	1	recent	recent	ADJ
cana-5657	23	2	advancements	advancement	NOUN
cana-5657	23	3	in	in	ADP
cana-5657	23	4	statistical	statistical	ADJ
cana-5657	23	5	modeling	modeling	NOUN
cana-5657	23	6	have	have	AUX
cana-5657	23	7	introduced	introduce	VERB
cana-5657	23	8	a	a	DET
cana-5657	23	9	variety	variety	NOUN
cana-5657	23	10	of	of	ADP
cana-5657	23	11	new	new	ADJ
cana-5657	23	12	lifetime	lifetime	NOUN
cana-5657	23	13	distributions	distribution	NOUN
cana-5657	23	14	to	to	PART
cana-5657	23	15	better	well	ADV
cana-5657	23	16	fit	fit	VERB
cana-5657	23	17	real	real	ADJ
cana-5657	23	18	-	-	PUNCT
cana-5657	23	19	world	world	NOUN
cana-5657	23	20	data	datum	NOUN
cana-5657	23	21	under	under	ADP
cana-5657	23	22	complex	complex	ADJ
cana-5657	23	23	conditions	condition	NOUN
cana-5657	23	24	.	.	PUNCT
cana-5657	24	1	notably	notably	ADV
cana-5657	24	2	,	,	PUNCT
cana-5657	24	3	halim	halim	PROPN
cana-5657	24	4	zeghdoudi	zeghdoudi	PROPN
cana-5657	24	5	and	and	CCONJ
cana-5657	24	6	collaborators	collaborator	NOUN
cana-5657	24	7	have	have	AUX
cana-5657	24	8	contributed	contribute	VERB
cana-5657	24	9	significantly	significantly	ADV
cana-5657	24	10	to	to	ADP
cana-5657	24	11	the	the	DET
cana-5657	24	12	development	development	NOUN
cana-5657	24	13	of	of	ADP
cana-5657	24	14	lindley	lindley	NOUN
cana-5657	24	15	-	-	PUNCT
cana-5657	24	16	type	type	NOUN
cana-5657	24	17	and	and	CCONJ
cana-5657	24	18	generalized	generalized	ADJ
cana-5657	24	19	distributions	distribution	NOUN
cana-5657	24	20	,	,	PUNCT
cana-5657	24	21	including	include	VERB
cana-5657	24	22	the	the	DET
cana-5657	24	23	gamma	gamma	NOUN
cana-5657	24	24	-	-	PUNCT
cana-5657	24	25	lindley	lindley	NOUN
cana-5657	24	26	distribution	distribution	NOUN
cana-5657	24	27	[	[	X
cana-5657	24	28	7	7	NUM
cana-5657	24	29	]	]	PUNCT
cana-5657	24	30	,	,	PUNCT
cana-5657	24	31	pseudo	pseudo	NOUN
cana-5657	24	32	lindley	lindley	NOUN
cana-5657	24	33	distribution	distribution	NOUN
cana-5657	24	34	[	[	X
cana-5657	24	35	8	8	NUM
cana-5657	24	36	,	,	PUNCT
cana-5657	24	37	9	9	NUM
cana-5657	24	38	]	]	PUNCT
cana-5657	24	39	,	,	PUNCT
cana-5657	24	40	size	size	NOUN
cana-5657	24	41	-	-	PUNCT
cana-5657	24	42	biased	bias	VERB
cana-5657	24	43	gamma	gamma	NOUN
cana-5657	24	44	lindley	lindley	NOUN
cana-5657	24	45	distribution	distribution	NOUN
cana-5657	24	46	[	[	X
cana-5657	24	47	10	10	NUM
cana-5657	24	48	]	]	PUNCT
cana-5657	24	49	,	,	PUNCT
cana-5657	24	50	xlindley	xlindley	ADJ
cana-5657	24	51	distribution	distribution	NOUN
cana-5657	24	52	[	[	X
cana-5657	24	53	11	11	NUM
cana-5657	24	54	]	]	PUNCT
cana-5657	24	55	,	,	PUNCT
cana-5657	24	56	and	and	CCONJ
cana-5657	24	57	its	its	PRON
cana-5657	24	58	inverse	inverse	ADJ
cana-5657	24	59	variant	variant	NOUN
cana-5657	24	60	[	[	X
cana-5657	24	61	12	12	NUM
cana-5657	24	62	]	]	PUNCT
cana-5657	24	63	.	.	PUNCT
cana-5657	25	1	these	these	DET
cana-5657	25	2	models	model	NOUN
cana-5657	25	3	offer	offer	VERB
cana-5657	25	4	enhanced	enhance	VERB
cana-5657	25	5	flexibility	flexibility	NOUN
cana-5657	25	6	in	in	ADP
cana-5657	25	7	capturing	capture	VERB
cana-5657	25	8	skewness	skewness	NOUN
cana-5657	25	9	,	,	PUNCT
cana-5657	25	10	kurtosis	kurtosis	NOUN
cana-5657	25	11	,	,	PUNCT
cana-5657	25	12	and	and	CCONJ
cana-5657	25	13	tail	tail	NOUN
cana-5657	25	14	behaviors	behavior	NOUN
cana-5657	25	15	,	,	PUNCT
cana-5657	25	16	and	and	CCONJ
cana-5657	25	17	have	have	AUX
cana-5657	25	18	been	be	AUX
cana-5657	25	19	applied	apply	VERB
cana-5657	25	20	to	to	ADP
cana-5657	25	21	a	a	DET
cana-5657	25	22	wide	wide	ADJ
cana-5657	25	23	range	range	NOUN
cana-5657	25	24	of	of	ADP
cana-5657	25	25	data	datum	NOUN
cana-5657	25	26	types	type	NOUN
cana-5657	25	27	.	.	PUNCT
cana-5657	26	1	furthermore	furthermore	ADV
cana-5657	26	2	,	,	PUNCT
cana-5657	26	3	zeghdoudi	zeghdoudi	PROPN
cana-5657	26	4	et	et	PROPN
cana-5657	26	5	al	al	PROPN
cana-5657	26	6	.	.	PROPN
cana-5657	26	7	proposed	propose	VERB
cana-5657	26	8	the	the	DET
cana-5657	26	9	zeghdoudi	zeghdoudi	NOUN
cana-5657	26	10	distribution	distribution	NOUN
cana-5657	26	11	[	[	X
cana-5657	26	12	13	13	NUM
cana-5657	26	13	]	]	PUNCT
cana-5657	26	14	,	,	PUNCT
cana-5657	26	15	as	as	ADV
cana-5657	26	16	well	well	ADV
cana-5657	26	17	as	as	ADP
cana-5657	26	18	a	a	DET
cana-5657	26	19	new	new	ADJ
cana-5657	26	20	lindley	lindley	NOUN
cana-5657	26	21	-	-	PUNCT
cana-5657	26	22	type	type	NOUN
cana-5657	26	23	distribution	distribution	NOUN
cana-5657	26	24	specifically	specifically	ADV
cana-5657	26	25	tailored	tailor	VERB
cana-5657	26	26	to	to	PART
cana-5657	26	27	model	model	VERB
cana-5657	26	28	voltage	voltage	NOUN
cana-5657	26	29	data	datum	NOUN
cana-5657	26	30	in	in	ADP
cana-5657	26	31	engineering	engineering	NOUN
cana-5657	26	32	applications	application	NOUN
cana-5657	26	33	[	[	X
cana-5657	26	34	14	14	NUM
cana-5657	26	35	]	]	PUNCT
cana-5657	26	36	.	.	PUNCT
cana-5657	27	1	such	such	ADJ
cana-5657	27	2	models	model	NOUN
cana-5657	27	3	play	play	VERB
cana-5657	27	4	a	a	DET
cana-5657	27	5	key	key	ADJ
cana-5657	27	6	role	role	NOUN
cana-5657	27	7	in	in	ADP
cana-5657	27	8	reliability	reliability	NOUN
cana-5657	27	9	analysis	analysis	NOUN
cana-5657	27	10	,	,	PUNCT
cana-5657	27	11	risk	risk	NOUN
cana-5657	27	12	management	management	NOUN
cana-5657	27	13	,	,	PUNCT
cana-5657	27	14	and	and	CCONJ
cana-5657	27	15	decision	decision	NOUN
cana-5657	27	16	support	support	NOUN
cana-5657	27	17	under	under	ADP
cana-5657	27	18	imprecise	imprecise	ADJ
cana-5657	27	19	data	datum	NOUN
cana-5657	27	20	conditions	condition	NOUN
cana-5657	27	21	.	.	PUNCT
cana-5657	28	1	motivation	motivation	NOUN
cana-5657	28	2	.	.	PUNCT
cana-5657	29	1	in	in	ADP
cana-5657	29	2	real	real	ADJ
cana-5657	29	3	-	-	PUNCT
cana-5657	29	4	world	world	NOUN
cana-5657	29	5	applications	application	NOUN
cana-5657	29	6	—	—	PUNCT
cana-5657	29	7	such	such	ADJ
cana-5657	29	8	as	as	ADP
cana-5657	29	9	actuarial	actuarial	ADJ
cana-5657	29	10	science	science	NOUN
cana-5657	29	11	,	,	PUNCT
cana-5657	29	12	engineering	engineering	NOUN
cana-5657	29	13	risk	risk	NOUN
cana-5657	29	14	analysis	analysis	NOUN
cana-5657	29	15	,	,	PUNCT
cana-5657	29	16	and	and	CCONJ
cana-5657	29	17	financial	financial	ADJ
cana-5657	29	18	modeling	modeling	NOUN
cana-5657	29	19	—	—	PUNCT
cana-5657	29	20	decision	decision	NOUN
cana-5657	29	21	-	-	PUNCT
cana-5657	29	22	makers	maker	NOUN
cana-5657	29	23	frequently	frequently	ADV
cana-5657	29	24	encounter	encounter	VERB
cana-5657	29	25	data	datum	NOUN
cana-5657	29	26	with	with	ADP
cana-5657	29	27	incomplete	incomplete	ADJ
cana-5657	29	28	documentation	documentation	NOUN
cana-5657	29	29	,	,	PUNCT
cana-5657	29	30	expert	expert	NOUN
cana-5657	29	31	disagreement	disagreement	NOUN
cana-5657	29	32	,	,	PUNCT
cana-5657	29	33	or	or	CCONJ
cana-5657	29	34	uncertain	uncertain	ADJ
cana-5657	29	35	provenance	provenance	NOUN
cana-5657	29	36	.	.	PUNCT
cana-5657	30	1	while	while	SCONJ
cana-5657	30	2	the	the	DET
cana-5657	30	3	xexponential	xexponential	ADJ
cana-5657	30	4	distribution	distribution	NOUN
cana-5657	30	5	provides	provide	VERB
cana-5657	30	6	a	a	DET
cana-5657	30	7	versatile	versatile	ADJ
cana-5657	30	8	probabilistic	probabilistic	ADJ
cana-5657	30	9	model	model	NOUN
cana-5657	30	10	,	,	PUNCT
cana-5657	30	11	it	it	PRON
cana-5657	30	12	alone	alone	ADV
cana-5657	30	13	can	can	AUX
cana-5657	30	14	not	not	PART
cana-5657	30	15	capture	capture	VERB
cana-5657	30	16	the	the	DET
cana-5657	30	17	non	non	ADJ
cana-5657	30	18	-	-	ADJ
cana-5657	30	19	random	random	ADJ
cana-5657	30	20	aspects	aspect	NOUN
cana-5657	30	21	of	of	ADP
cana-5657	30	22	uncertainty	uncertainty	NOUN
cana-5657	30	23	.	.	PUNCT
cana-5657	31	1	by	by	ADP
cana-5657	31	2	integrating	integrate	VERB
cana-5657	31	3	neutrosophic	neutrosophic	ADJ
cana-5657	31	4	logic	logic	NOUN
cana-5657	31	5	and	and	CCONJ
cana-5657	31	6	credibility	credibility	NOUN
cana-5657	31	7	measures	measure	NOUN
cana-5657	31	8	,	,	PUNCT
cana-5657	31	9	this	this	DET
cana-5657	31	10	paper	paper	NOUN
cana-5657	31	11	proposes	propose	VERB
cana-5657	31	12	a	a	DET
cana-5657	31	13	framework	framework	NOUN
cana-5657	31	14	for	for	ADP
cana-5657	31	15	constructing	construct	VERB
cana-5657	31	16	neutrosophic	neutrosophic	ADJ
cana-5657	31	17	credibility	credibility	NOUN
cana-5657	31	18	bounds	bound	NOUN
cana-5657	31	19	(	(	PUNCT
cana-5657	31	20	ncbs	ncbs	NOUN
cana-5657	31	21	)	)	PUNCT
cana-5657	31	22	,	,	PUNCT
cana-5657	31	23	offering	offer	VERB
cana-5657	31	24	a	a	DET
cana-5657	31	25	robust	robust	ADJ
cana-5657	31	26	alternative	alternative	NOUN
cana-5657	31	27	to	to	ADP
cana-5657	31	28	classical	classical	ADJ
cana-5657	31	29	confidence	confidence	NOUN
cana-5657	31	30	intervals	interval	NOUN
cana-5657	31	31	under	under	ADP
cana-5657	31	32	hybrid	hybrid	ADJ
cana-5657	31	33	uncertainty	uncertainty	NOUN
cana-5657	31	34	scenarios	scenario	NOUN
cana-5657	31	35	.	.	PUNCT
cana-5657	32	1	contribution	contribution	NOUN
cana-5657	32	2	and	and	CCONJ
cana-5657	32	3	plan	plan	NOUN
cana-5657	32	4	of	of	ADP
cana-5657	32	5	the	the	DET
cana-5657	32	6	paper	paper	NOUN
cana-5657	32	7	.	.	PUNCT
cana-5657	33	1	the	the	DET
cana-5657	33	2	main	main	ADJ
cana-5657	33	3	contribution	contribution	NOUN
cana-5657	33	4	of	of	ADP
cana-5657	33	5	this	this	DET
cana-5657	33	6	paper	paper	NOUN
cana-5657	33	7	is	be	AUX
cana-5657	33	8	the	the	DET
cana-5657	33	9	development	development	NOUN
cana-5657	33	10	of	of	ADP
cana-5657	33	11	neutrosophic	neutrosophic	ADJ
cana-5657	33	12	credibility	credibility	NOUN
cana-5657	33	13	bounds	bound	VERB
cana-5657	33	14	for	for	ADP
cana-5657	33	15	random	random	ADJ
cana-5657	33	16	variables	variable	NOUN
cana-5657	33	17	that	that	PRON
cana-5657	33	18	follow	follow	VERB
cana-5657	33	19	the	the	DET
cana-5657	33	20	xexponential	xexponential	ADJ
cana-5657	33	21	istribution	istribution	NOUN
cana-5657	33	22	.	.	PUNCT
cana-5657	34	1	the	the	DET
cana-5657	34	2	paper	paper	NOUN
cana-5657	34	3	is	be	AUX
cana-5657	34	4	structured	structure	VERB
cana-5657	34	5	as	as	SCONJ
cana-5657	34	6	follows	follow	VERB
cana-5657	34	7	:	:	PUNCT
cana-5657	34	8	•	•	NOUN
cana-5657	34	9	in	in	ADP
cana-5657	34	10	section	section	NOUN
cana-5657	34	11	2	2	NUM
cana-5657	34	12	,	,	PUNCT
cana-5657	34	13	we	we	PRON
cana-5657	34	14	review	review	VERB
cana-5657	34	15	the	the	DET
cana-5657	34	16	theoretical	theoretical	ADJ
cana-5657	34	17	foundations	foundation	NOUN
cana-5657	34	18	of	of	ADP
cana-5657	34	19	neutrosophic	neutrosophic	ADJ
cana-5657	34	20	credibility	credibility	NOUN
cana-5657	34	21	bounds	bound	VERB
cana-5657	34	22	.	.	PUNCT
cana-5657	35	1	•	•	NUM
cana-5657	35	2	section	section	NOUN
cana-5657	35	3	3	3	NUM
cana-5657	35	4	provides	provide	VERB
cana-5657	35	5	an	an	DET
cana-5657	35	6	overview	overview	NOUN
cana-5657	35	7	of	of	ADP
cana-5657	35	8	the	the	DET
cana-5657	35	9	xexponential	xexponential	ADJ
cana-5657	35	10	distribution	distribution	NOUN
cana-5657	35	11	,	,	PUNCT
cana-5657	35	12	including	include	VERB
cana-5657	35	13	its	its	PRON
cana-5657	35	14	key	key	ADJ
cana-5657	35	15	statistical	statistical	ADJ
cana-5657	35	16	properties	property	NOUN
cana-5657	35	17	.	.	PUNCT
cana-5657	36	1	•	•	NUM
cana-5657	36	2	section	section	NOUN
cana-5657	36	3	4	4	NUM
cana-5657	36	4	derives	derive	VERB
cana-5657	36	5	and	and	CCONJ
cana-5657	36	6	analyzes	analyze	VERB
cana-5657	36	7	the	the	DET
cana-5657	36	8	properties	property	NOUN
cana-5657	36	9	of	of	ADP
cana-5657	36	10	the	the	DET
cana-5657	36	11	proposed	propose	VERB
cana-5657	36	12	neutrosophic	neutrosophic	ADJ
cana-5657	36	13	credibility	credibility	NOUN
cana-5657	36	14	bounds	bound	NOUN
cana-5657	36	15	,	,	PUNCT
cana-5657	36	16	supported	support	VERB
cana-5657	36	17	by	by	ADP
cana-5657	36	18	analytical	analytical	ADJ
cana-5657	36	19	expressions	expression	NOUN
cana-5657	36	20	and	and	CCONJ
cana-5657	36	21	mathematical	mathematical	ADJ
cana-5657	36	22	proofs	proof	NOUN
cana-5657	36	23	.	.	PUNCT
cana-5657	37	1	•	•	NUM
cana-5657	37	2	section	section	NOUN
cana-5657	37	3	5	5	NUM
cana-5657	37	4	presents	present	VERB
cana-5657	37	5	a	a	DET
cana-5657	37	6	monte	monte	PROPN
cana-5657	37	7	carlo	carlo	PROPN
cana-5657	37	8	simulation	simulation	PROPN
cana-5657	37	9	study	study	NOUN
cana-5657	37	10	to	to	PART
cana-5657	37	11	examine	examine	VERB
cana-5657	37	12	the	the	DET
cana-5657	37	13	behavior	behavior	NOUN
cana-5657	37	14	and	and	CCONJ
cana-5657	37	15	robustness	robustness	NOUN
cana-5657	37	16	of	of	ADP
cana-5657	37	17	ncbs	ncbs	NOUN
cana-5657	37	18	under	under	ADP
cana-5657	37	19	various	various	ADJ
cana-5657	37	20	parameter	parameter	NOUN
cana-5657	37	21	and	and	CCONJ
cana-5657	37	22	threshold	threshold	NOUN
cana-5657	37	23	settings	setting	NOUN
cana-5657	37	24	.	.	PUNCT
cana-5657	38	1	•	•	NUM
cana-5657	38	2	section	section	NOUN
cana-5657	38	3	6	6	NUM
cana-5657	38	4	applies	apply	VERB
cana-5657	38	5	the	the	DET
cana-5657	38	6	proposed	propose	VERB
cana-5657	38	7	framework	framework	NOUN
cana-5657	38	8	to	to	ADP
cana-5657	38	9	real	real	ADJ
cana-5657	38	10	-	-	PUNCT
cana-5657	38	11	world	world	NOUN
cana-5657	38	12	data	datum	NOUN
cana-5657	38	13	in	in	ADP
cana-5657	38	14	actuarial	actuarial	ADJ
cana-5657	38	15	science	science	NOUN
cana-5657	38	16	,	,	PUNCT
cana-5657	38	17	demonstrating	demonstrate	VERB
cana-5657	38	18	its	its	PRON
cana-5657	38	19	effectiveness	effectiveness	NOUN
cana-5657	38	20	in	in	ADP
cana-5657	38	21	modeling	model	VERB
cana-5657	38	22	uncertain	uncertain	ADJ
cana-5657	38	23	insurance	insurance	NOUN
cana-5657	38	24	claims	claim	NOUN
cana-5657	38	25	.	.	PUNCT
cana-5657	39	1	•	•	NUM
cana-5657	39	2	section	section	NOUN
cana-5657	39	3	7	7	NUM
cana-5657	39	4	concludes	conclude	VERB
cana-5657	39	5	the	the	DET
cana-5657	39	6	paper	paper	NOUN
cana-5657	39	7	and	and	CCONJ
cana-5657	39	8	outlines	outline	VERB
cana-5657	39	9	directions	direction	NOUN
cana-5657	39	10	for	for	ADP
cana-5657	39	11	future	future	ADJ
cana-5657	39	12	research	research	NOUN
cana-5657	39	13	.	.	PUNCT
cana-5657	40	1	objectives	objective	NOUN
cana-5657	40	2	•	•	ADP
cana-5657	40	3	to	to	PART
cana-5657	40	4	define	define	VERB
cana-5657	40	5	the	the	DET
cana-5657	40	6	neutrosophic	neutrosophic	ADJ
cana-5657	40	7	credibility	credibility	NOUN
cana-5657	40	8	bounds	bound	VERB
cana-5657	40	9	for	for	ADP
cana-5657	40	10	a	a	DET
cana-5657	40	11	xexponential	xexponential	ADJ
cana-5657	40	12	-	-	PUNCT
cana-5657	40	13	distributed	distribute	VERB
cana-5657	40	14	random	random	ADJ
cana-5657	40	15	variable	variable	NOUN
cana-5657	40	16	.	.	PUNCT
cana-5657	41	1	communications	communication	NOUN
cana-5657	41	2	on	on	ADP
cana-5657	41	3	applied	apply	VERB
cana-5657	41	4	nonlinear	nonlinear	ADJ
cana-5657	41	5	analysis	analysis	NOUN
cana-5657	41	6	issn	issn	NOUN
cana-5657	41	7	:	:	PUNCT
cana-5657	41	8	1074	1074	NUM
cana-5657	41	9	-	-	PUNCT
cana-5657	41	10	133x	133x	NUM
cana-5657	41	11	vol	vol	VERB
cana-5657	41	12	32	32	NUM
cana-5657	41	13	no	no	NOUN
cana-5657	41	14	.	.	PUNCT
cana-5657	42	1	10s	10	NOUN
cana-5657	42	2	(	(	PUNCT
cana-5657	42	3	2025	2025	NUM
cana-5657	42	4	)	)	PUNCT
cana-5657	42	5	2636	2636	NUM
cana-5657	42	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	42	7	•	•	VERB
cana-5657	42	8	to	to	PART
cana-5657	42	9	derive	derive	VERB
cana-5657	42	10	the	the	DET
cana-5657	42	11	cumulative	cumulative	ADJ
cana-5657	42	12	distribution	distribution	NOUN
cana-5657	42	13	function	function	NOUN
cana-5657	42	14	(	(	PUNCT
cana-5657	42	15	𝐶𝐷𝐹	𝐶𝐷𝐹	PROPN
cana-5657	42	16	)	)	PUNCT
cana-5657	42	17	and	and	CCONJ
cana-5657	42	18	invert	invert	VERB
cana-5657	42	19	it	it	PRON
cana-5657	42	20	for	for	ADP
cana-5657	42	21	boundary	boundary	ADJ
cana-5657	42	22	estimation	estimation	NOUN
cana-5657	42	23	•	•	ADP
cana-5657	42	24	to	to	PART
cana-5657	42	25	interpret	interpret	VERB
cana-5657	42	26	the	the	DET
cana-5657	42	27	bounds	bound	NOUN
cana-5657	42	28	under	under	ADP
cana-5657	42	29	neutrosophic	neutrosophic	ADJ
cana-5657	42	30	and	and	CCONJ
cana-5657	42	31	credibility	credibility	NOUN
cana-5657	42	32	-	-	PUNCT
cana-5657	42	33	based	base	VERB
cana-5657	42	34	uncertainty	uncertainty	NOUN
cana-5657	42	35	•	•	ADP
cana-5657	42	36	to	to	PART
cana-5657	42	37	explore	explore	VERB
cana-5657	42	38	applications	application	NOUN
cana-5657	42	39	in	in	ADP
cana-5657	42	40	decision	decision	NOUN
cana-5657	42	41	-	-	PUNCT
cana-5657	42	42	making	making	NOUN
cana-5657	42	43	,	,	PUNCT
cana-5657	42	44	engineering	engineering	NOUN
cana-5657	42	45	,	,	PUNCT
cana-5657	42	46	and	and	CCONJ
cana-5657	42	47	information	information	NOUN
cana-5657	42	48	systems	system	NOUN
cana-5657	42	49	.	.	PUNCT
cana-5657	43	1	2	2	X
cana-5657	43	2	.	.	X
cana-5657	43	3	overview	overview	NOUN
cana-5657	43	4	of	of	ADP
cana-5657	43	5	neutrosophic	neutrosophic	ADJ
cana-5657	43	6	credibility	credibility	NOUN
cana-5657	43	7	bounds	bound	VERB
cana-5657	43	8	classical	classical	ADJ
cana-5657	43	9	statistical	statistical	ADJ
cana-5657	43	10	methods	method	NOUN
cana-5657	43	11	often	often	ADV
cana-5657	43	12	assume	assume	VERB
cana-5657	43	13	that	that	SCONJ
cana-5657	43	14	uncertainty	uncertainty	NOUN
cana-5657	43	15	is	be	AUX
cana-5657	43	16	well	well	ADV
cana-5657	43	17	defined	define	VERB
cana-5657	43	18	and	and	CCONJ
cana-5657	43	19	can	can	AUX
cana-5657	43	20	be	be	AUX
cana-5657	43	21	captured	capture	VERB
cana-5657	43	22	entirely	entirely	ADV
cana-5657	43	23	through	through	ADP
cana-5657	43	24	probabilities	probability	NOUN
cana-5657	43	25	.	.	PUNCT
cana-5657	44	1	however	however	ADV
cana-5657	44	2	,	,	PUNCT
cana-5657	44	3	in	in	ADP
cana-5657	44	4	many	many	ADJ
cana-5657	44	5	real	real	ADJ
cana-5657	44	6	-	-	PUNCT
cana-5657	44	7	world	world	NOUN
cana-5657	44	8	systems	system	NOUN
cana-5657	44	9	,	,	PUNCT
cana-5657	44	10	data	datum	NOUN
cana-5657	44	11	may	may	AUX
cana-5657	44	12	be	be	AUX
cana-5657	44	13	ambiguous	ambiguous	ADJ
cana-5657	44	14	,	,	PUNCT
cana-5657	44	15	incomplete	incomplete	ADJ
cana-5657	44	16	,	,	PUNCT
cana-5657	44	17	or	or	CCONJ
cana-5657	44	18	contradictory	contradictory	ADJ
cana-5657	44	19	.	.	PUNCT
cana-5657	45	1	to	to	AUX
cana-5657	45	2	better	well	ADV
cana-5657	45	3	model	model	VERB
cana-5657	45	4	such	such	ADJ
cana-5657	45	5	uncertainty	uncertainty	NOUN
cana-5657	45	6	,	,	PUNCT
cana-5657	45	7	neutrosophic	neutrosophic	ADJ
cana-5657	45	8	logic	logic	NOUN
cana-5657	45	9	and	and	CCONJ
cana-5657	45	10	credibility	credibility	NOUN
cana-5657	45	11	theory	theory	NOUN
cana-5657	45	12	offer	offer	VERB
cana-5657	45	13	a	a	DET
cana-5657	45	14	more	more	ADV
cana-5657	45	15	general	general	ADJ
cana-5657	45	16	and	and	CCONJ
cana-5657	45	17	flexible	flexible	ADJ
cana-5657	45	18	framework	framework	NOUN
cana-5657	45	19	.	.	PUNCT
cana-5657	46	1	neutrosophic	neutrosophic	ADJ
cana-5657	46	2	set	set	PROPN
cana-5657	46	3	theory	theory	NOUN
cana-5657	46	4	,	,	PUNCT
cana-5657	46	5	introduced	introduce	VERB
cana-5657	46	6	by	by	ADP
cana-5657	46	7	smarandache	smarandache	NOUN
cana-5657	47	1	[	[	X
cana-5657	47	2	5	5	NUM
cana-5657	47	3	]	]	PUNCT
cana-5657	47	4	,	,	PUNCT
cana-5657	47	5	extends	extend	VERB
cana-5657	47	6	fuzzy	fuzzy	ADJ
cana-5657	47	7	and	and	CCONJ
cana-5657	47	8	intuitionistic	intuitionistic	ADJ
cana-5657	47	9	fuzzy	fuzzy	ADJ
cana-5657	47	10	sets	set	NOUN
cana-5657	47	11	by	by	ADP
cana-5657	47	12	characterizing	characterize	VERB
cana-5657	47	13	each	each	DET
cana-5657	47	14	element	element	NOUN
cana-5657	47	15	with	with	ADP
cana-5657	47	16	three	three	NUM
cana-5657	47	17	degrees	degree	NOUN
cana-5657	47	18	:	:	PUNCT
cana-5657	47	19	truth	truth	NOUN
cana-5657	47	20	(	(	PUNCT
cana-5657	47	21	t	t	NOUN
cana-5657	47	22	)	)	PUNCT
cana-5657	47	23	,	,	PUNCT
cana-5657	47	24	indeterminacy	indeterminacy	NOUN
cana-5657	47	25	(	(	PUNCT
cana-5657	47	26	i	i	NOUN
cana-5657	47	27	)	)	PUNCT
cana-5657	47	28	,	,	PUNCT
cana-5657	47	29	and	and	CCONJ
cana-5657	47	30	falsity	falsity	NOUN
cana-5657	47	31	(	(	PUNCT
cana-5657	47	32	f	f	X
cana-5657	47	33	)	)	PUNCT
cana-5657	47	34	,	,	PUNCT
cana-5657	47	35	such	such	ADJ
cana-5657	47	36	that	that	SCONJ
cana-5657	47	37	:	:	PUNCT
cana-5657	47	38	𝑇(𝑥	𝑇(𝑥	X
cana-5657	47	39	)	)	PUNCT
cana-5657	47	40	,	,	PUNCT
cana-5657	47	41	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	47	42	)	)	PUNCT
cana-5657	47	43	,	,	PUNCT
cana-5657	47	44	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	47	45	)	)	PUNCT
cana-5657	47	46	⊆	⊆	NUM
cana-5657	47	47	[	[	X
cana-5657	47	48	0−	0−	NUM
cana-5657	47	49	,	,	PUNCT
cana-5657	47	50	1	1	NUM
cana-5657	47	51	+	+	NOUN
cana-5657	47	52	]	]	X
cana-5657	47	53	,	,	PUNCT
cana-5657	47	54	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5657	47	55	𝑇(𝑥	𝑇(𝑥	PROPN
cana-5657	47	56	)	)	PUNCT
cana-5657	47	57	+	+	CCONJ
cana-5657	47	58	𝐼(𝑥	𝐼(𝑥	X
cana-5657	47	59	)	)	PUNCT
cana-5657	47	60	+	+	NUM
cana-5657	47	61	𝐹(𝑥	𝐹(𝑥	X
cana-5657	47	62	)	)	PUNCT
cana-5657	47	63	≤	≤	NOUN
cana-5657	47	64	3	3	NUM
cana-5657	47	65	in	in	ADP
cana-5657	47	66	parallel	parallel	NOUN
cana-5657	47	67	,	,	PUNCT
cana-5657	47	68	credibility	credibility	NOUN
cana-5657	47	69	theory	theory	NOUN
cana-5657	47	70	,	,	PUNCT
cana-5657	47	71	developed	develop	VERB
cana-5657	47	72	by	by	ADP
cana-5657	47	73	liu	liu	PROPN
cana-5657	48	1	[	[	X
cana-5657	48	2	6	6	NUM
cana-5657	48	3	]	]	PUNCT
cana-5657	48	4	,	,	PUNCT
cana-5657	48	5	provides	provide	VERB
cana-5657	48	6	a	a	DET
cana-5657	48	7	belief	belief	NOUN
cana-5657	48	8	-	-	PUNCT
cana-5657	48	9	based	base	VERB
cana-5657	48	10	framework	framework	NOUN
cana-5657	48	11	to	to	PART
cana-5657	48	12	evaluate	evaluate	VERB
cana-5657	48	13	fuzzy	fuzzy	ADJ
cana-5657	48	14	events	event	NOUN
cana-5657	48	15	.	.	PUNCT
cana-5657	49	1	unlike	unlike	ADP
cana-5657	49	2	probability	probability	NOUN
cana-5657	49	3	,	,	PUNCT
cana-5657	49	4	credibility	credibility	NOUN
cana-5657	49	5	measures	measure	NOUN
cana-5657	49	6	satisfy	satisfy	VERB
cana-5657	49	7	self	self	NOUN
cana-5657	49	8	-	-	PUNCT
cana-5657	49	9	duality	duality	NOUN
cana-5657	49	10	and	and	CCONJ
cana-5657	49	11	are	be	AUX
cana-5657	49	12	suitable	suitable	ADJ
cana-5657	49	13	for	for	ADP
cana-5657	49	14	systems	system	NOUN
cana-5657	49	15	where	where	SCONJ
cana-5657	49	16	randomness	randomness	NOUN
cana-5657	49	17	is	be	AUX
cana-5657	49	18	not	not	PART
cana-5657	49	19	the	the	DET
cana-5657	49	20	only	only	ADJ
cana-5657	49	21	form	form	NOUN
cana-5657	49	22	of	of	ADP
cana-5657	49	23	uncertainty	uncertainty	NOUN
cana-5657	49	24	.	.	PUNCT
cana-5657	50	1	the	the	DET
cana-5657	50	2	combination	combination	NOUN
cana-5657	50	3	of	of	ADP
cana-5657	50	4	these	these	DET
cana-5657	50	5	two	two	NUM
cana-5657	50	6	theories	theory	NOUN
cana-5657	50	7	leads	lead	VERB
cana-5657	50	8	to	to	ADP
cana-5657	50	9	the	the	DET
cana-5657	50	10	concept	concept	NOUN
cana-5657	50	11	of	of	ADP
cana-5657	50	12	neutrosophic	neutrosophic	ADJ
cana-5657	50	13	credibility	credibility	NOUN
cana-5657	50	14	bounds	bound	NOUN
cana-5657	50	15	(	(	PUNCT
cana-5657	50	16	ncbs	ncbs	NOUN
cana-5657	50	17	)	)	PUNCT
cana-5657	50	18	.	.	PUNCT
cana-5657	51	1	an	an	DET
cana-5657	51	2	ncb	ncb	NOUN
cana-5657	51	3	defines	define	VERB
cana-5657	51	4	an	an	DET
cana-5657	51	5	interval	interval	NOUN
cana-5657	51	6	[	[	X
cana-5657	51	7	lb𝛾	lb𝛾	ADJ
cana-5657	51	8	,	,	PUNCT
cana-5657	51	9	ub𝛾	ub𝛾	ADV
cana-5657	51	10	]	]	PUNCT
cana-5657	51	11	such	such	ADJ
cana-5657	51	12	that	that	SCONJ
cana-5657	51	13	a	a	DET
cana-5657	51	14	neutrosophic	neutrosophic	ADJ
cana-5657	51	15	variable	variable	ADJ
cana-5657	51	16	𝑋𝑁	𝑋𝑁	PROPN
cana-5657	51	17	lies	lie	VERB
cana-5657	51	18	within	within	ADP
cana-5657	51	19	this	this	DET
cana-5657	51	20	range	range	NOUN
cana-5657	51	21	with	with	ADP
cana-5657	51	22	a	a	DET
cana-5657	51	23	credibility	credibility	NOUN
cana-5657	51	24	level	level	NOUN
cana-5657	51	25	𝛾	𝛾	ADP
cana-5657	51	26	∈	∈	NOUN
cana-5657	51	27	(	(	PUNCT
cana-5657	51	28	0	0	NUM
cana-5657	51	29	,	,	PUNCT
cana-5657	51	30	1	1	NUM
cana-5657	51	31	]	]	PUNCT
cana-5657	51	32	,	,	PUNCT
cana-5657	51	33	while	while	SCONJ
cana-5657	51	34	satisfying	satisfy	VERB
cana-5657	51	35	the	the	DET
cana-5657	51	36	following	follow	VERB
cana-5657	51	37	conditions	condition	NOUN
cana-5657	51	38	:	:	PUNCT
cana-5657	51	39	𝐶𝑟(𝑇(𝑥	𝐶𝑟(𝑇(𝑥	NUM
cana-5657	51	40	)	)	PUNCT
cana-5657	51	41	≥	≥	NOUN
cana-5657	51	42	𝛼1	𝛼1	PROPN
cana-5657	51	43	)	)	PUNCT
cana-5657	51	44	≥	≥	NOUN
cana-5657	51	45	𝛾	𝛾	NOUN
cana-5657	51	46	,	,	PUNCT
cana-5657	51	47	𝐶𝑟(𝐼(𝑥	𝐶𝑟(𝐼(𝑥	NUM
cana-5657	51	48	)	)	PUNCT
cana-5657	51	49	≤	≤	NOUN
cana-5657	51	50	𝛼2	𝛼2	PROPN
cana-5657	51	51	)	)	PUNCT
cana-5657	51	52	≥	≥	NOUN
cana-5657	51	53	𝛾	𝛾	NOUN
cana-5657	51	54	,	,	PUNCT
cana-5657	51	55	𝐶𝑟(𝐹(𝑥	𝐶𝑟(𝐹(𝑥	NOUN
cana-5657	51	56	)	)	PUNCT
cana-5657	51	57	≤	≤	NUM
cana-5657	51	58	𝛼3	𝛼3	NOUN
cana-5657	51	59	)	)	PUNCT
cana-5657	51	60	≥	≥	NOUN
cana-5657	51	61	𝛾.	𝛾.	X
cana-5657	51	62	here	here	ADV
cana-5657	51	63	𝛼1	𝛼1	NOUN
cana-5657	51	64	,	,	PUNCT
cana-5657	51	65	𝛼2	𝛼2	ADJ
cana-5657	51	66	,	,	PUNCT
cana-5657	51	67	and	and	CCONJ
cana-5657	51	68	𝛼3	𝛼3	NOUN
cana-5657	51	69	are	be	AUX
cana-5657	51	70	application	application	NOUN
cana-5657	51	71	-	-	PUNCT
cana-5657	51	72	dependent	dependent	ADJ
cana-5657	51	73	thresholds	threshold	NOUN
cana-5657	51	74	for	for	ADP
cana-5657	51	75	truth	truth	NOUN
cana-5657	51	76	,	,	PUNCT
cana-5657	51	77	indeterminacy	indeterminacy	NOUN
cana-5657	51	78	,	,	PUNCT
cana-5657	51	79	and	and	CCONJ
cana-5657	51	80	falsity	falsity	NOUN
cana-5657	51	81	,	,	PUNCT
cana-5657	51	82	respectively	respectively	ADV
cana-5657	51	83	.	.	PUNCT
cana-5657	52	1	this	this	DET
cana-5657	52	2	framework	framework	NOUN
cana-5657	52	3	is	be	AUX
cana-5657	52	4	particularly	particularly	ADV
cana-5657	52	5	powerful	powerful	ADJ
cana-5657	52	6	in	in	ADP
cana-5657	52	7	environments	environment	NOUN
cana-5657	52	8	with	with	ADP
cana-5657	52	9	hybrid	hybrid	ADJ
cana-5657	52	10	uncertainties	uncertainty	NOUN
cana-5657	52	11	,	,	PUNCT
cana-5657	52	12	such	such	ADJ
cana-5657	52	13	as	as	ADP
cana-5657	52	14	uncertain	uncertain	ADJ
cana-5657	52	15	reliability	reliability	NOUN
cana-5657	52	16	systems	system	NOUN
cana-5657	52	17	,	,	PUNCT
cana-5657	52	18	vague	vague	ADJ
cana-5657	52	19	survey	survey	NOUN
cana-5657	52	20	data	datum	NOUN
cana-5657	52	21	,	,	PUNCT
cana-5657	52	22	and	and	CCONJ
cana-5657	52	23	soft	soft	ADJ
cana-5657	52	24	computing	computing	NOUN
cana-5657	52	25	applications	application	NOUN
cana-5657	52	26	.	.	PUNCT
cana-5657	53	1	3	3	X
cana-5657	53	2	.	.	X
cana-5657	53	3	overview	overview	NOUN
cana-5657	53	4	of	of	ADP
cana-5657	53	5	the	the	DET
cana-5657	53	6	xexponential	xexponential	ADJ
cana-5657	53	7	distribution	distribution	NOUN
cana-5657	53	8	the	the	DET
cana-5657	53	9	xexponential	xexponential	ADJ
cana-5657	53	10	distribution	distribution	NOUN
cana-5657	53	11	is	be	AUX
cana-5657	53	12	a	a	DET
cana-5657	53	13	generalized	generalized	ADJ
cana-5657	53	14	form	form	NOUN
cana-5657	53	15	of	of	ADP
cana-5657	53	16	the	the	DET
cana-5657	53	17	exponential	exponential	ADJ
cana-5657	53	18	distribution	distribution	NOUN
cana-5657	53	19	,	,	PUNCT
cana-5657	53	20	designed	design	VERB
cana-5657	53	21	to	to	PART
cana-5657	53	22	provide	provide	VERB
cana-5657	53	23	greater	great	ADJ
cana-5657	53	24	modeling	modeling	NOUN
cana-5657	53	25	flexibility	flexibility	NOUN
cana-5657	53	26	,	,	PUNCT
cana-5657	53	27	particularly	particularly	ADV
cana-5657	53	28	for	for	ADP
cana-5657	53	29	data	datum	NOUN
cana-5657	53	30	exhibiting	exhibit	VERB
cana-5657	53	31	skewness	skewness	NOUN
cana-5657	53	32	or	or	CCONJ
cana-5657	53	33	tail	tail	NOUN
cana-5657	53	34	behavior	behavior	NOUN
cana-5657	53	35	not	not	PART
cana-5657	53	36	well	well	ADV
cana-5657	53	37	represented	represent	VERB
cana-5657	53	38	by	by	ADP
cana-5657	53	39	the	the	DET
cana-5657	53	40	standard	standard	ADJ
cana-5657	53	41	exponential	exponential	ADJ
cana-5657	53	42	family	family	NOUN
cana-5657	53	43	.	.	PUNCT
cana-5657	54	1	the	the	DET
cana-5657	54	2	probability	probability	NOUN
cana-5657	54	3	density	density	NOUN
cana-5657	54	4	function	function	NOUN
cana-5657	54	5	(	(	PUNCT
cana-5657	54	6	pdf	pdf	NOUN
cana-5657	54	7	)	)	PUNCT
cana-5657	54	8	of	of	ADP
cana-5657	54	9	the	the	DET
cana-5657	54	10	xexponential	xexponential	ADJ
cana-5657	54	11	distribution	distribution	NOUN
cana-5657	54	12	is	be	AUX
cana-5657	54	13	given	give	VERB
cana-5657	54	14	by	by	ADP
cana-5657	54	15	:	:	PUNCT
cana-5657	54	16	𝑓(𝑥	𝑓(𝑥	NOUN
cana-5657	54	17	;	;	PUNCT
cana-5657	54	18	𝜃	𝜃	X
cana-5657	54	19	)	)	PUNCT
cana-5657	54	20	=	=	PUNCT
cana-5657	55	1	𝜃	𝜃	PRON
cana-5657	55	2	3	3	NUM
cana-5657	55	3	(	(	PUNCT
cana-5657	55	4	𝜃𝑥	𝜃𝑥	ADP
cana-5657	55	5	+	+	PROPN
cana-5657	55	6	2)𝑒−𝜃𝑥	2)𝑒−𝜃𝑥	NUM
cana-5657	55	7	,	,	PUNCT
cana-5657	55	8	𝑥	𝑥	X
cana-5657	55	9	,	,	PUNCT
cana-5657	55	10	𝜃	𝜃	X
cana-5657	55	11	>	>	X
cana-5657	55	12	0	0	PUNCT
cana-5657	56	1	this	this	DET
cana-5657	56	2	distribution	distribution	NOUN
cana-5657	56	3	has	have	VERB
cana-5657	56	4	the	the	DET
cana-5657	56	5	following	follow	VERB
cana-5657	56	6	properties	property	NOUN
cana-5657	56	7	:	:	PUNCT
cana-5657	56	8	•	•	NUM
cana-5657	56	9	non	non	ADJ
cana-5657	56	10	-	-	ADJ
cana-5657	56	11	negative	negative	ADJ
cana-5657	56	12	support	support	NOUN
cana-5657	56	13	:	:	PUNCT
cana-5657	56	14	defined	define	VERB
cana-5657	56	15	for	for	ADP
cana-5657	56	16	𝑥	𝑥	PROPN
cana-5657	56	17	>	>	X
cana-5657	56	18	0	0	NUM
cana-5657	56	19	.	.	NOUN
cana-5657	56	20	•	•	NOUN
cana-5657	56	21	unimodal	unimodal	ADJ
cana-5657	56	22	:	:	PUNCT
cana-5657	56	23	the	the	DET
cana-5657	56	24	pdf	pdf	NOUN
cana-5657	56	25	increases	increase	VERB
cana-5657	56	26	initially	initially	ADV
cana-5657	56	27	and	and	CCONJ
cana-5657	56	28	then	then	ADV
cana-5657	56	29	decreases	decrease	VERB
cana-5657	56	30	,	,	PUNCT
cana-5657	56	31	depending	depend	VERB
cana-5657	56	32	on	on	ADP
cana-5657	56	33	𝜃	𝜃	DET
cana-5657	56	34	communications	communication	NOUN
cana-5657	56	35	on	on	ADP
cana-5657	56	36	applied	apply	VERB
cana-5657	56	37	nonlinear	nonlinear	ADJ
cana-5657	56	38	analysis	analysis	NOUN
cana-5657	56	39	issn	issn	NOUN
cana-5657	56	40	:	:	PUNCT
cana-5657	56	41	1074	1074	NUM
cana-5657	56	42	-	-	PUNCT
cana-5657	56	43	133x	133x	NUM
cana-5657	56	44	vol	vol	VERB
cana-5657	56	45	32	32	NUM
cana-5657	56	46	no	no	NOUN
cana-5657	56	47	.	.	PUNCT
cana-5657	57	1	10s	10	NOUN
cana-5657	57	2	(	(	PUNCT
cana-5657	57	3	2025	2025	NUM
cana-5657	57	4	)	)	PUNCT
cana-5657	57	5	2637	2637	NUM
cana-5657	57	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	57	7	•	•	NUM
cana-5657	57	8	heavier	heavy	ADJ
cana-5657	57	9	tail	tail	NOUN
cana-5657	57	10	:	:	PUNCT
cana-5657	57	11	compared	compare	VERB
cana-5657	57	12	to	to	ADP
cana-5657	57	13	the	the	DET
cana-5657	57	14	exponential	exponential	ADJ
cana-5657	57	15	distribution	distribution	NOUN
cana-5657	57	16	,	,	PUNCT
cana-5657	57	17	the	the	DET
cana-5657	57	18	xexponential	xexponential	NOUN
cana-5657	57	19	can	can	AUX
cana-5657	57	20	capture	capture	VERB
cana-5657	57	21	more	more	ADJ
cana-5657	57	22	variability	variability	NOUN
cana-5657	57	23	due	due	ADP
cana-5657	57	24	to	to	ADP
cana-5657	57	25	its	its	PRON
cana-5657	57	26	polynomial	polynomial	ADJ
cana-5657	57	27	component	component	NOUN
cana-5657	57	28	.	.	PUNCT
cana-5657	58	1	the	the	DET
cana-5657	58	2	cumulative	cumulative	ADJ
cana-5657	58	3	distribution	distribution	NOUN
cana-5657	58	4	function	function	NOUN
cana-5657	58	5	(	(	PUNCT
cana-5657	58	6	cdf	cdf	PROPN
cana-5657	58	7	)	)	PUNCT
cana-5657	58	8	is	be	AUX
cana-5657	58	9	:	:	PUNCT
cana-5657	58	10	𝑓(𝑥	𝑓(𝑥	NOUN
cana-5657	58	11	;	;	PUNCT
cana-5657	58	12	𝜃	𝜃	X
cana-5657	58	13	)	)	PUNCT
cana-5657	58	14	=	=	SYM
cana-5657	59	1	1	1	NUM
cana-5657	59	2	−	−	NUM
cana-5657	59	3	1	1	NUM
cana-5657	59	4	3	3	NUM
cana-5657	59	5	(	(	PUNCT
cana-5657	59	6	2	2	NUM
cana-5657	59	7	+	+	CCONJ
cana-5657	59	8	𝜃𝑥)𝑒−𝜃𝑥	𝜃𝑥)𝑒−𝜃𝑥	X
cana-5657	60	1	[	[	X
cana-5657	60	2	2	2	NUM
cana-5657	60	3	]	]	SYM
cana-5657	60	4	mean	mean	NOUN
cana-5657	60	5	and	and	CCONJ
cana-5657	60	6	variance	variance	NOUN
cana-5657	60	7	:	:	PUNCT
cana-5657	60	8	𝐸[𝑥	𝐸[𝑥	PROPN
cana-5657	60	9	]	]	X
cana-5657	61	1	=	=	PUNCT
cana-5657	61	2	4	4	NUM
cana-5657	61	3	𝜃	𝜃	NOUN
cana-5657	61	4	[	[	X
cana-5657	61	5	3	3	NUM
cana-5657	61	6	]	]	PUNCT
cana-5657	61	7	𝑉[𝑥	𝑉[𝑥	PROPN
cana-5657	61	8	]	]	X
cana-5657	62	1	=	=	SYM
cana-5657	63	1	10	10	NUM
cana-5657	63	2	𝜃2	𝜃2	NOUN
cana-5657	63	3	[	[	X
cana-5657	63	4	4	4	NUM
cana-5657	63	5	]	]	PUNCT
cana-5657	63	6	hazard	hazard	NOUN
cana-5657	63	7	rate	rate	NOUN
cana-5657	63	8	function	function	NOUN
cana-5657	63	9	:	:	PUNCT
cana-5657	63	10	ℎ(𝑥	ℎ(𝑥	NUM
cana-5657	63	11	)	)	PUNCT
cana-5657	63	12	=	=	PUNCT
cana-5657	63	13	𝜃(𝜃𝑥	𝜃(𝜃𝑥	X
cana-5657	63	14	+	+	PROPN
cana-5657	63	15	2	2	NUM
cana-5657	63	16	)	)	PUNCT
cana-5657	63	17	3	3	NUM
cana-5657	63	18	−	−	NOUN
cana-5657	63	19	(	(	PUNCT
cana-5657	63	20	2𝜃𝑥)𝑒−𝜃𝑥	2𝜃𝑥)𝑒−𝜃𝑥	NUM
cana-5657	63	21	,	,	PUNCT
cana-5657	63	22	𝑥	𝑥	PROPN
cana-5657	63	23	>	>	X
cana-5657	63	24	0	0	PUNCT
cana-5657	64	1	[	[	X
cana-5657	64	2	5	5	NUM
cana-5657	64	3	]	]	PUNCT
cana-5657	64	4	the	the	DET
cana-5657	64	5	xexponential	xexponential	ADJ
cana-5657	64	6	distribution	distribution	NOUN
cana-5657	64	7	is	be	AUX
cana-5657	64	8	suitable	suitable	ADJ
cana-5657	64	9	for	for	ADP
cana-5657	64	10	modeling	model	VERB
cana-5657	64	11	lifetimes	lifetime	NOUN
cana-5657	64	12	,	,	PUNCT
cana-5657	64	13	reliability	reliability	NOUN
cana-5657	64	14	data	datum	NOUN
cana-5657	64	15	,	,	PUNCT
cana-5657	64	16	and	and	CCONJ
cana-5657	64	17	other	other	ADJ
cana-5657	64	18	stochastic	stochastic	ADJ
cana-5657	64	19	processes	process	NOUN
cana-5657	64	20	that	that	PRON
cana-5657	64	21	require	require	VERB
cana-5657	64	22	more	more	ADV
cana-5657	64	23	flexible	flexible	ADJ
cana-5657	64	24	tail	tail	NOUN
cana-5657	64	25	behavior	behavior	NOUN
cana-5657	64	26	.	.	PUNCT
cana-5657	65	1	it	it	PRON
cana-5657	65	2	serves	serve	VERB
cana-5657	65	3	as	as	ADP
cana-5657	65	4	a	a	DET
cana-5657	65	5	natural	natural	ADJ
cana-5657	65	6	candidate	candidate	NOUN
cana-5657	65	7	for	for	ADP
cana-5657	65	8	uncertainty	uncertainty	NOUN
cana-5657	65	9	modeling	model	VERB
cana-5657	65	10	in	in	ADP
cana-5657	65	11	conjunction	conjunction	NOUN
cana-5657	65	12	with	with	ADP
cana-5657	65	13	neutrosophic	neutrosophic	ADJ
cana-5657	65	14	systems	system	NOUN
cana-5657	65	15	,	,	PUNCT
cana-5657	65	16	particularly	particularly	ADV
cana-5657	65	17	when	when	SCONJ
cana-5657	65	18	the	the	DET
cana-5657	65	19	distribution	distribution	NOUN
cana-5657	65	20	of	of	ADP
cana-5657	65	21	a	a	DET
cana-5657	65	22	system	system	NOUN
cana-5657	65	23	’s	’s	PART
cana-5657	65	24	behavior	behavior	NOUN
cana-5657	65	25	is	be	AUX
cana-5657	65	26	not	not	PART
cana-5657	65	27	well	well	ADV
cana-5657	65	28	known	know	VERB
cana-5657	65	29	or	or	CCONJ
cana-5657	65	30	is	be	AUX
cana-5657	65	31	derived	derive	VERB
cana-5657	65	32	from	from	ADP
cana-5657	65	33	uncertain	uncertain	ADJ
cana-5657	65	34	observations	observation	NOUN
cana-5657	65	35	.	.	PUNCT
cana-5657	66	1	4	4	X
cana-5657	66	2	.	.	X
cana-5657	66	3	properties	property	NOUN
cana-5657	66	4	of	of	ADP
cana-5657	66	5	neutrosophic	neutrosophic	ADJ
cana-5657	66	6	credibility	credibility	NOUN
cana-5657	66	7	bounds	bound	VERB
cana-5657	66	8	using	use	VERB
cana-5657	66	9	the	the	DET
cana-5657	66	10	xexponential	xexponential	ADJ
cana-5657	66	11	distribution	distribution	NOUN
cana-5657	66	12	4.1	4.1	NUM
cana-5657	66	13	neutrosophic	neutrosophic	ADJ
cana-5657	66	14	structure	structure	NOUN
cana-5657	66	15	let	let	VERB
cana-5657	66	16	𝑋𝑁	𝑋𝑁	PROPN
cana-5657	66	17	be	be	AUX
cana-5657	66	18	a	a	DET
cana-5657	66	19	neutrosophic	neutrosophic	ADJ
cana-5657	66	20	random	random	ADJ
cana-5657	66	21	variable	variable	NOUN
cana-5657	66	22	defined	define	VERB
cana-5657	66	23	as	as	ADP
cana-5657	66	24	:	:	PUNCT
cana-5657	66	25	𝑋𝑁	𝑋𝑁	PROPN
cana-5657	66	26	(	(	PUNCT
cana-5657	66	27	𝑥	𝑥	NOUN
cana-5657	66	28	)	)	PUNCT
cana-5657	66	29	=	=	SYM
cana-5657	66	30	(	(	PUNCT
cana-5657	66	31	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	66	32	)	)	PUNCT
cana-5657	66	33	,	,	PUNCT
cana-5657	66	34	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	66	35	)	)	PUNCT
cana-5657	66	36	,	,	PUNCT
cana-5657	66	37	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	66	38	)	)	PUNCT
cana-5657	66	39	)	)	PUNCT
cana-5657	66	40	,	,	PUNCT
cana-5657	67	1	where	where	SCONJ
cana-5657	67	2	:	:	PUNCT
cana-5657	67	3	𝑇(𝑥	𝑇(𝑥	X
cana-5657	67	4	)	)	PUNCT
cana-5657	67	5	=	=	SYM
cana-5657	67	6	max	max	PROPN
cana-5657	67	7	(	(	PUNCT
cana-5657	67	8	0	0	NUM
cana-5657	67	9	,	,	PUNCT
cana-5657	67	10	min	min	NOUN
cana-5657	67	11	(	(	PUNCT
cana-5657	67	12	1,1	1,1	NUM
cana-5657	67	13	−	−	NOUN
cana-5657	67	14	|	|	ADV
cana-5657	67	15	𝑥	𝑥	PROPN
cana-5657	67	16	−	−	NOUN
cana-5657	67	17	𝜇	𝜇	ADP
cana-5657	67	18	𝑘𝜎	𝑘𝜎	PROPN
cana-5657	67	19	|	|	NOUN
cana-5657	67	20	)	)	PUNCT
cana-5657	67	21	)	)	PUNCT
cana-5657	67	22	,	,	PUNCT
cana-5657	67	23	𝐼(𝑥	𝐼(𝑥	X
cana-5657	67	24	)	)	PUNCT
cana-5657	67	25	=	=	SYM
cana-5657	67	26	𝑇(𝑥)2	𝑇(𝑥)2	NOUN
cana-5657	67	27	,	,	PUNCT
cana-5657	67	28	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	67	29	)	)	PUNCT
cana-5657	67	30	=	=	SYM
cana-5657	67	31	−𝑇(𝑥	−𝑇(𝑥	PROPN
cana-5657	67	32	)	)	PUNCT
cana-5657	67	33	.	.	PUNCT
cana-5657	68	1	here	here	ADV
cana-5657	68	2	,	,	PUNCT
cana-5657	68	3	𝜇	𝜇	X
cana-5657	68	4	=	=	X
cana-5657	68	5	𝐸[𝑋	𝐸[𝑋	NOUN
cana-5657	68	6	]	]	PUNCT
cana-5657	68	7	,	,	PUNCT
cana-5657	68	8	𝜎	𝜎	PROPN
cana-5657	68	9	=	=	SYM
cana-5657	68	10	√𝑉𝑎𝑟(𝑥	√𝑉𝑎𝑟(𝑥	PROPN
cana-5657	68	11	)	)	PUNCT
cana-5657	68	12	,	,	PUNCT
cana-5657	68	13	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5657	68	14	𝑘	𝑘	PROPN
cana-5657	68	15	∈	∈	NOUN
cana-5657	68	16	ℝ+	ℝ+	PUNCT
cana-5657	68	17	adjusts	adjust	VERB
cana-5657	68	18	uncertainty	uncertainty	NOUN
cana-5657	68	19	sensitivity	sensitivity	NOUN
cana-5657	68	20	.	.	PUNCT
cana-5657	69	1	communications	communication	NOUN
cana-5657	69	2	on	on	ADP
cana-5657	69	3	applied	apply	VERB
cana-5657	69	4	nonlinear	nonlinear	ADJ
cana-5657	69	5	analysis	analysis	NOUN
cana-5657	69	6	issn	issn	NOUN
cana-5657	69	7	:	:	PUNCT
cana-5657	69	8	1074	1074	NUM
cana-5657	69	9	-	-	PUNCT
cana-5657	69	10	133x	133x	NUM
cana-5657	69	11	vol	vol	VERB
cana-5657	69	12	32	32	NUM
cana-5657	69	13	no	no	NOUN
cana-5657	69	14	.	.	PUNCT
cana-5657	70	1	10s	10	NOUN
cana-5657	70	2	(	(	PUNCT
cana-5657	70	3	2025	2025	NUM
cana-5657	70	4	)	)	PUNCT
cana-5657	70	5	2638	2638	NUM
cana-5657	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	70	7	4.2	4.2	NUM
cana-5657	70	8	credibility	credibility	NOUN
cana-5657	70	9	measure	measure	NOUN
cana-5657	70	10	and	and	CCONJ
cana-5657	70	11	bound	bind	VERB
cana-5657	70	12	estimation	estimation	NOUN
cana-5657	70	13	using	use	VERB
cana-5657	70	14	credibility	credibility	NOUN
cana-5657	70	15	theory	theory	NOUN
cana-5657	70	16	,	,	PUNCT
cana-5657	70	17	define	define	VERB
cana-5657	70	18	the	the	DET
cana-5657	70	19	credibility	credibility	NOUN
cana-5657	70	20	level	level	NOUN
cana-5657	70	21	𝛾	𝛾	ADP
cana-5657	70	22	∈	∈	NOUN
cana-5657	70	23	(	(	PUNCT
cana-5657	70	24	0	0	NUM
cana-5657	70	25	,	,	PUNCT
cana-5657	70	26	1	1	NUM
cana-5657	70	27	)	)	PUNCT
cana-5657	70	28	.	.	PUNCT
cana-5657	71	1	a	a	DET
cana-5657	71	2	neutrosophic	neutrosophic	ADJ
cana-5657	71	3	credibility	credibility	NOUN
cana-5657	71	4	bound	bind	VERB
cana-5657	71	5	is	be	AUX
cana-5657	71	6	then	then	ADV
cana-5657	71	7	:	:	PUNCT
cana-5657	71	8	𝑁𝐶𝐵𝛾(𝑥	𝑁𝐶𝐵𝛾(𝑥	PROPN
cana-5657	71	9	)	)	PUNCT
cana-5657	72	1	=	=	PRON
cana-5657	72	2	{	{	PUNCT
cana-5657	72	3	𝑥	𝑥	X
cana-5657	72	4	∈	∈	PROPN
cana-5657	72	5	ℝ+	ℝ+	PUNCT
cana-5657	72	6	|	|	ADV
cana-5657	72	7	𝐶𝑟(𝑇(𝑥	𝐶𝑟(𝑇(𝑥	NOUN
cana-5657	72	8	)	)	PUNCT
cana-5657	72	9	≥	≥	NOUN
cana-5657	72	10	𝛼1	𝛼1	PROPN
cana-5657	72	11	)	)	PUNCT
cana-5657	72	12	≥	≥	NOUN
cana-5657	72	13	𝛾	𝛾	NOUN
cana-5657	72	14	𝐶𝑟(𝑇(𝑥	𝐶𝑟(𝑇(𝑥	NUM
cana-5657	72	15	)	)	PUNCT
cana-5657	72	16	≥	≥	NOUN
cana-5657	72	17	𝛼2	𝛼2	PROPN
cana-5657	72	18	)	)	PUNCT
cana-5657	72	19	≥	≥	PROPN
cana-5657	72	20	𝛾	𝛾	NOUN
cana-5657	72	21	𝐶𝑟(𝑇(𝑥	𝐶𝑟(𝑇(𝑥	NUM
cana-5657	72	22	)	)	PUNCT
cana-5657	72	23	≥	≥	NOUN
cana-5657	72	24	𝛼3	𝛼3	NOUN
cana-5657	72	25	)	)	PUNCT
cana-5657	72	26	≥	≥	NOUN
cana-5657	72	27	𝛾	𝛾	ADP
cana-5657	72	28	}	}	PUNCT
cana-5657	72	29	with	with	ADP
cana-5657	72	30	thresholds	threshold	NOUN
cana-5657	72	31	𝛼1	𝛼1	NOUN
cana-5657	72	32	,	,	PUNCT
cana-5657	72	33	𝛼2	𝛼2	ADJ
cana-5657	72	34	,	,	PUNCT
cana-5657	72	35	𝛼3	𝛼3	NOUN
cana-5657	72	36	∈	∈	PROPN
cana-5657	73	1	[	[	X
cana-5657	73	2	0,1	0,1	NUM
cana-5657	73	3	]	]	PUNCT
cana-5657	73	4	.	.	PUNCT
cana-5657	74	1	since	since	SCONJ
cana-5657	74	2	the	the	DET
cana-5657	74	3	cdf	cdf	PROPN
cana-5657	74	4	is	be	AUX
cana-5657	74	5	:	:	PUNCT
cana-5657	74	6	𝐹(𝑥	𝐹(𝑥	X
cana-5657	74	7	)	)	PUNCT
cana-5657	74	8	=	=	SYM
cana-5657	75	1	1	1	NUM
cana-5657	75	2	−	−	NUM
cana-5657	75	3	1	1	NUM
cana-5657	75	4	3	3	NUM
cana-5657	75	5	(	(	PUNCT
cana-5657	75	6	2	2	NUM
cana-5657	75	7	+	+	CCONJ
cana-5657	75	8	𝜃𝑥)𝑒−𝜃𝑥	𝜃𝑥)𝑒−𝜃𝑥	X
cana-5657	75	9	the	the	DET
cana-5657	75	10	lower	low	ADJ
cana-5657	75	11	and	and	CCONJ
cana-5657	75	12	upper	upper	ADJ
cana-5657	75	13	bounds	bound	NOUN
cana-5657	75	14	𝐿𝐵𝛾	𝐿𝐵𝛾	NOUN
cana-5657	75	15	and	and	CCONJ
cana-5657	75	16	𝑈𝐵𝛾	𝑈𝐵𝛾	NOUN
cana-5657	75	17	satisfy	satisfy	NOUN
cana-5657	75	18	:	:	PUNCT
cana-5657	75	19	𝐹(𝐿𝐵𝛾	𝐹(𝐿𝐵𝛾	PROPN
cana-5657	75	20	)	)	PUNCT
cana-5657	76	1	=	=	SYM
cana-5657	77	1	1	1	NUM
cana-5657	77	2	−	−	NOUN
cana-5657	77	3	𝛾	𝛾	PROPN
cana-5657	77	4	2	2	NUM
cana-5657	77	5	,	,	PUNCT
cana-5657	77	6	𝐹(𝑈𝐵𝛾	𝐹(𝑈𝐵𝛾	PROPN
cana-5657	77	7	)	)	PUNCT
cana-5657	78	1	+	+	CCONJ
cana-5657	78	2	1	1	NUM
cana-5657	78	3	+	+	CCONJ
cana-5657	78	4	𝛾	𝛾	NOUN
cana-5657	78	5	2	2	NUM
cana-5657	78	6	proof	proof	NOUN
cana-5657	78	7	of	of	ADP
cana-5657	78	8	uniqueness	uniqueness	NOUN
cana-5657	78	9	:	:	PUNCT
cana-5657	78	10	since	since	SCONJ
cana-5657	78	11	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	78	12	)	)	PUNCT
cana-5657	78	13	is	be	AUX
cana-5657	78	14	strictly	strictly	ADV
cana-5657	78	15	increasing	increase	VERB
cana-5657	78	16	and	and	CCONJ
cana-5657	78	17	continuous	continuous	ADJ
cana-5657	78	18	for	for	ADP
cana-5657	78	19	𝑥	𝑥	PROPN
cana-5657	78	20	>	>	SYM
cana-5657	78	21	0	0	PROPN
cana-5657	78	22	,	,	PUNCT
cana-5657	78	23	these	these	DET
cana-5657	78	24	inverse	inverse	ADJ
cana-5657	78	25	values	value	NOUN
cana-5657	78	26	exist	exist	VERB
cana-5657	78	27	and	and	CCONJ
cana-5657	78	28	are	be	AUX
cana-5657	78	29	unique	unique	ADJ
cana-5657	78	30	by	by	ADP
cana-5657	78	31	the	the	DET
cana-5657	78	32	intermediate	intermediate	ADJ
cana-5657	78	33	value	value	NOUN
cana-5657	78	34	theorem	theorem	VERB
cana-5657	78	35	.	.	PUNCT
cana-5657	78	36	4.3	4.3	NUM
cana-5657	78	37	special	special	ADJ
cana-5657	78	38	cases	case	NOUN
cana-5657	78	39	and	and	CCONJ
cana-5657	78	40	properties	property	NOUN
cana-5657	78	41	•	•	ADV
cana-5657	78	42	as	as	ADP
cana-5657	78	43	𝛾	𝛾	PROPN
cana-5657	78	44	→	→	SYM
cana-5657	78	45	1	1	NUM
cana-5657	78	46	,	,	PUNCT
cana-5657	78	47	[	[	X
cana-5657	78	48	𝐿𝐵𝛾	𝐿𝐵𝛾	NOUN
cana-5657	78	49	,	,	PUNCT
cana-5657	78	50	𝑈𝐵𝛾	𝑈𝐵𝛾	PROPN
cana-5657	78	51	]	]	PUNCT
cana-5657	78	52	→	→	PUNCT
cana-5657	79	1	[	[	X
cana-5657	79	2	𝑞𝑢𝑎𝑛𝑡𝑖𝑙𝑒0,5	𝑞𝑢𝑎𝑛𝑡𝑖𝑙𝑒0,5	PROPN
cana-5657	79	3	,	,	PUNCT
cana-5657	79	4	𝑞𝑢𝑎𝑛𝑡𝑖𝑙𝑒0,5](𝑖.	𝑞𝑢𝑎𝑛𝑡𝑖𝑙𝑒0,5](𝑖.	PROPN
cana-5657	79	5	𝑒.	𝑒.	PROPN
cana-5657	79	6	,	,	PUNCT
cana-5657	79	7	𝑡ℎ𝑒	𝑡ℎ𝑒	X
cana-5657	79	8	𝑚𝑒𝑑𝑖𝑎𝑛	𝑚𝑒𝑑𝑖𝑎𝑛	NOUN
cana-5657	79	9	)	)	PUNCT
cana-5657	79	10	•	•	ADV
cana-5657	79	11	as	as	ADP
cana-5657	79	12	𝜃	𝜃	ADJ
cana-5657	79	13	→	→	SYM
cana-5657	79	14	∞	∞	PROPN
cana-5657	79	15	,	,	PUNCT
cana-5657	79	16	the	the	DET
cana-5657	79	17	distribution	distribution	NOUN
cana-5657	79	18	becomes	become	VERB
cana-5657	79	19	degenerate	degenerate	ADJ
cana-5657	79	20	around	around	ADP
cana-5657	79	21	0	0	NUM
cana-5657	79	22	,	,	PUNCT
cana-5657	79	23	shrinking	shrink	VERB
cana-5657	79	24	the	the	DET
cana-5657	79	25	𝑁𝐶𝐵.	𝑁𝐶𝐵.	SYM
cana-5657	79	26	•	•	ADJ
cana-5657	79	27	if	if	SCONJ
cana-5657	79	28	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	79	29	)	)	PUNCT
cana-5657	79	30	→	→	SYM
cana-5657	79	31	1	1	NUM
cana-5657	79	32	,	,	PUNCT
cana-5657	79	33	𝐼(𝑥	𝐼(𝑥	NOUN
cana-5657	79	34	)	)	PUNCT
cana-5657	79	35	,	,	PUNCT
cana-5657	79	36	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	79	37	)	)	PUNCT
cana-5657	79	38	→	→	SYM
cana-5657	79	39	0	0	NUM
cana-5657	79	40	,	,	PUNCT
cana-5657	79	41	the	the	DET
cana-5657	79	42	𝑁𝐶𝐵	𝑁𝐶𝐵	NOUN
cana-5657	79	43	reduces	reduce	VERB
cana-5657	79	44	to	to	ADP
cana-5657	79	45	a	a	DET
cana-5657	79	46	classical	classical	ADJ
cana-5657	79	47	credible	credible	ADJ
cana-5657	79	48	interval	interval	NOUN
cana-5657	79	49	.	.	PUNCT
cana-5657	80	1	4.4	4.4	NUM
cana-5657	80	2	graphical	graphical	ADJ
cana-5657	80	3	representation	representation	NOUN
cana-5657	80	4	for	for	ADP
cana-5657	80	5	visualization	visualization	NOUN
cana-5657	80	6	,	,	PUNCT
cana-5657	80	7	one	one	PRON
cana-5657	80	8	can	can	AUX
cana-5657	80	9	plot	plot	VERB
cana-5657	80	10	:	:	PUNCT
cana-5657	80	11	•	•	ADP
cana-5657	80	12	the	the	DET
cana-5657	80	13	𝐶𝐷𝐹	𝐶𝐷𝐹	PROPN
cana-5657	80	14	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	80	15	)	)	PUNCT
cana-5657	80	16	,	,	PUNCT
cana-5657	80	17	•	•	CCONJ
cana-5657	80	18	the	the	DET
cana-5657	80	19	credibility	credibility	NOUN
cana-5657	80	20	-	-	PUNCT
cana-5657	80	21	based	base	VERB
cana-5657	80	22	thresholds	threshold	NOUN
cana-5657	80	23	1±𝛾	1±𝛾	ADJ
cana-5657	80	24	2	2	NUM
cana-5657	80	25	,	,	PUNCT
cana-5657	80	26	•	•	NUM
cana-5657	80	27	neutrosophic	neutrosophic	ADJ
cana-5657	80	28	memberships	membership	NOUN
cana-5657	80	29	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	80	30	)	)	PUNCT
cana-5657	80	31	,	,	PUNCT
cana-5657	80	32	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	80	33	)	)	PUNCT
cana-5657	80	34	,	,	PUNCT
cana-5657	80	35	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	80	36	)	)	PUNCT
cana-5657	80	37	across	across	ADP
cana-5657	80	38	the	the	DET
cana-5657	80	39	domain	domain	NOUN
cana-5657	80	40	of	of	ADP
cana-5657	80	41	𝑥.	𝑥.	NOUN
cana-5657	80	42	this	this	PRON
cana-5657	80	43	helps	help	VERB
cana-5657	80	44	validate	validate	VERB
cana-5657	80	45	and	and	CCONJ
cana-5657	80	46	interpret	interpret	VERB
cana-5657	80	47	the	the	DET
cana-5657	80	48	estimated	estimate	VERB
cana-5657	80	49	𝑁𝐶𝐵.	𝑁𝐶𝐵.	X
cana-5657	80	50	the	the	DET
cana-5657	80	51	following	follow	VERB
cana-5657	80	52	plots	plot	NOUN
cana-5657	80	53	illustrate	illustrate	VERB
cana-5657	80	54	the	the	DET
cana-5657	80	55	properties	property	NOUN
cana-5657	80	56	of	of	ADP
cana-5657	80	57	the	the	DET
cana-5657	80	58	xexponential	xexponential	ADJ
cana-5657	80	59	distribution	distribution	NOUN
cana-5657	80	60	and	and	CCONJ
cana-5657	80	61	the	the	DET
cana-5657	80	62	neutrosophic	neutrosophic	ADJ
cana-5657	80	63	credibility	credibility	NOUN
cana-5657	80	64	bounds	bound	VERB
cana-5657	80	65	under	under	ADP
cana-5657	80	66	selected	select	VERB
cana-5657	80	67	parameters	parameter	NOUN
cana-5657	80	68	.	.	PUNCT
cana-5657	81	1	we	we	PRON
cana-5657	81	2	use	use	VERB
cana-5657	81	3	𝜃	𝜃	NOUN
cana-5657	81	4	=	=	SYM
cana-5657	81	5	1	1	NUM
cana-5657	81	6	,	,	PUNCT
cana-5657	81	7	𝛾	𝛾	NOUN
cana-5657	81	8	=	=	NOUN
cana-5657	81	9	0.90	0.90	NUM
cana-5657	81	10	,	,	PUNCT
cana-5657	81	11	and	and	CCONJ
cana-5657	81	12	define	define	VERB
cana-5657	81	13	membership	membership	NOUN
cana-5657	81	14	functions	function	NOUN
cana-5657	81	15	centered	center	VERB
cana-5657	81	16	at	at	ADP
cana-5657	81	17	the	the	DET
cana-5657	81	18	mean	mean	NOUN
cana-5657	81	19	µ	µ	X
cana-5657	81	20	=	=	SYM
cana-5657	81	21	4	4	NUM
cana-5657	81	22	,	,	PUNCT
cana-5657	81	23	with	with	ADP
cana-5657	81	24	𝜎	𝜎	PROPN
cana-5657	81	25	=	=	PUNCT
cana-5657	81	26	√10	√10	PROPN
cana-5657	82	1	≈	≈	PROPN
cana-5657	82	2	3.16	3.16	NUM
cana-5657	82	3	.	.	PUNCT
cana-5657	83	1	let	let	VERB
cana-5657	83	2	𝛾	𝛾	VERB
cana-5657	83	3	=	=	NOUN
cana-5657	83	4	0.90	0.90	NUM
cana-5657	83	5	.	.	PUNCT
cana-5657	84	1	then	then	ADV
cana-5657	84	2	:	:	PUNCT
cana-5657	84	3	𝐹(𝐿𝐵0.9	𝐹(𝐿𝐵0.9	X
cana-5657	84	4	)	)	PUNCT
cana-5657	84	5	=	=	SYM
cana-5657	84	6	0.05	0.05	NUM
cana-5657	84	7	,	,	PUNCT
cana-5657	84	8	𝐹(𝑈𝐵0.9	𝐹(𝑈𝐵0.9	NOUN
cana-5657	84	9	)	)	PUNCT
cana-5657	84	10	=	=	NOUN
cana-5657	85	1	0.95	0.95	NUM
cana-5657	85	2	.	.	PUNCT
cana-5657	86	1	we	we	PRON
cana-5657	86	2	find	find	VERB
cana-5657	86	3	approximate	approximate	ADJ
cana-5657	86	4	values	value	NOUN
cana-5657	86	5	:	:	PUNCT
cana-5657	86	6	communications	communication	NOUN
cana-5657	86	7	on	on	ADP
cana-5657	86	8	applied	apply	VERB
cana-5657	86	9	nonlinear	nonlinear	ADJ
cana-5657	86	10	analysis	analysis	NOUN
cana-5657	86	11	issn	issn	NOUN
cana-5657	86	12	:	:	PUNCT
cana-5657	86	13	1074	1074	NUM
cana-5657	86	14	-	-	PUNCT
cana-5657	86	15	133x	133x	NUM
cana-5657	86	16	vol	vol	VERB
cana-5657	86	17	32	32	NUM
cana-5657	86	18	no	no	NOUN
cana-5657	86	19	.	.	PUNCT
cana-5657	87	1	10s	10	NOUN
cana-5657	87	2	(	(	PUNCT
cana-5657	87	3	2025	2025	NUM
cana-5657	87	4	)	)	PUNCT
cana-5657	87	5	2639	2639	NUM
cana-5657	87	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	87	7	𝐿𝐵0.9	𝐿𝐵0.9	NOUN
cana-5657	88	1	≈	≈	PROPN
cana-5657	88	2	0.4	0.4	NUM
cana-5657	88	3	,	,	PUNCT
cana-5657	88	4	𝑈𝐵0.9	𝑈𝐵0.9	VERB
cana-5657	88	5	≈	≈	PROPN
cana-5657	88	6	7.0	7.0	NUM
cana-5657	88	7	.	.	NOUN
cana-5657	88	8	5	5	NUM
cana-5657	88	9	.	.	X
cana-5657	88	10	simulation	simulation	NOUN
cana-5657	88	11	study	study	NOUN
cana-5657	88	12	to	to	PART
cana-5657	88	13	demonstrate	demonstrate	VERB
cana-5657	88	14	the	the	DET
cana-5657	88	15	practicality	practicality	NOUN
cana-5657	88	16	and	and	CCONJ
cana-5657	88	17	behavior	behavior	NOUN
cana-5657	88	18	of	of	ADP
cana-5657	88	19	the	the	DET
cana-5657	88	20	neutrosophic	neutrosophic	ADJ
cana-5657	88	21	credibility	credibility	NOUN
cana-5657	88	22	bounds	bound	VERB
cana-5657	88	23	(	(	PUNCT
cana-5657	88	24	𝑁𝐶𝐵𝑠	𝑁𝐶𝐵𝑠	PROPN
cana-5657	88	25	)	)	PUNCT
cana-5657	88	26	,	,	PUNCT
cana-5657	88	27	a	a	DET
cana-5657	88	28	monte	monte	PROPN
cana-5657	88	29	carlo	carlo	PROPN
cana-5657	88	30	simulation	simulation	PROPN
cana-5657	88	31	was	be	AUX
cana-5657	88	32	conducted	conduct	VERB
cana-5657	88	33	based	base	VERB
cana-5657	88	34	on	on	ADP
cana-5657	88	35	the	the	DET
cana-5657	88	36	xexponential	xexponential	ADJ
cana-5657	88	37	distribution	distribution	NOUN
cana-5657	88	38	.	.	PUNCT
cana-5657	89	1	communications	communication	NOUN
cana-5657	89	2	on	on	ADP
cana-5657	89	3	applied	apply	VERB
cana-5657	89	4	nonlinear	nonlinear	ADJ
cana-5657	89	5	analysis	analysis	NOUN
cana-5657	89	6	issn	issn	NOUN
cana-5657	89	7	:	:	PUNCT
cana-5657	89	8	1074	1074	NUM
cana-5657	89	9	-	-	PUNCT
cana-5657	89	10	133x	133x	NUM
cana-5657	89	11	vol	vol	VERB
cana-5657	89	12	32	32	NUM
cana-5657	89	13	no	no	NOUN
cana-5657	89	14	.	.	PUNCT
cana-5657	90	1	10s	10	NOUN
cana-5657	90	2	(	(	PUNCT
cana-5657	90	3	2025	2025	NUM
cana-5657	90	4	)	)	PUNCT
cana-5657	90	5	2640	2640	NUM
cana-5657	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	90	7	5.1	5.1	NUM
cana-5657	90	8	simulation	simulation	NOUN
cana-5657	90	9	design	design	NOUN
cana-5657	90	10	we	we	PRON
cana-5657	90	11	generated	generate	VERB
cana-5657	90	12	synthetic	synthetic	ADJ
cana-5657	90	13	data	datum	NOUN
cana-5657	90	14	using	use	VERB
cana-5657	90	15	the	the	DET
cana-5657	90	16	inverse	inverse	NOUN
cana-5657	90	17	transform	transform	NOUN
cana-5657	90	18	sampling	sample	VERB
cana-5657	90	19	method	method	NOUN
cana-5657	90	20	from	from	ADP
cana-5657	90	21	the	the	DET
cana-5657	90	22	cumulative	cumulative	ADJ
cana-5657	90	23	distribution	distribution	NOUN
cana-5657	90	24	function	function	NOUN
cana-5657	90	25	(	(	PUNCT
cana-5657	90	26	cdf	cdf	PROPN
cana-5657	90	27	)	)	PUNCT
cana-5657	90	28	of	of	ADP
cana-5657	90	29	the	the	DET
cana-5657	90	30	xexponential	xexponential	ADJ
cana-5657	90	31	distribution	distribution	NOUN
cana-5657	90	32	:	:	PUNCT
cana-5657	90	33	𝐹(𝑥	𝐹(𝑥	X
cana-5657	90	34	)	)	PUNCT
cana-5657	90	35	=	=	SYM
cana-5657	91	1	1	1	NUM
cana-5657	91	2	−	−	NUM
cana-5657	91	3	1	1	NUM
cana-5657	91	4	3	3	NUM
cana-5657	91	5	(	(	PUNCT
cana-5657	91	6	2	2	NUM
cana-5657	91	7	+	+	CCONJ
cana-5657	91	8	𝜃𝑥)𝑒−𝜃𝑥	𝜃𝑥)𝑒−𝜃𝑥	X
cana-5657	91	9	,	,	PUNCT
cana-5657	91	10	with	with	ADP
cana-5657	91	11	inverse	inverse	NOUN
cana-5657	91	12	𝑥	𝑥	X
cana-5657	91	13	=	=	SYM
cana-5657	91	14	𝐹−1(𝜇	𝐹−1(𝜇	NUM
cana-5657	91	15	)	)	PUNCT
cana-5657	91	16	.	.	PUNCT
cana-5657	92	1	however	however	ADV
cana-5657	92	2	,	,	PUNCT
cana-5657	92	3	since	since	SCONJ
cana-5657	92	4	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	92	5	)	)	PUNCT
cana-5657	92	6	is	be	AUX
cana-5657	92	7	not	not	PART
cana-5657	92	8	analytically	analytically	ADV
cana-5657	92	9	invertible	invertible	ADJ
cana-5657	92	10	,	,	PUNCT
cana-5657	92	11	we	we	PRON
cana-5657	92	12	use	use	VERB
cana-5657	92	13	a	a	DET
cana-5657	92	14	numerical	numerical	ADJ
cana-5657	92	15	root	root	NOUN
cana-5657	92	16	-	-	PUNCT
cana-5657	92	17	finding	find	VERB
cana-5657	92	18	method	method	NOUN
cana-5657	92	19	(	(	PUNCT
cana-5657	92	20	e.g.	e.g.	ADV
cana-5657	92	21	,	,	PUNCT
cana-5657	92	22	newton	newton	PROPN
cana-5657	92	23	-	-	PUNCT
cana-5657	92	24	raphson	raphson	NOUN
cana-5657	92	25	)	)	PUNCT
cana-5657	92	26	to	to	PART
cana-5657	92	27	compute	compute	VERB
cana-5657	92	28	𝑥	𝑥	PRON
cana-5657	92	29	such	such	ADJ
cana-5657	92	30	that	that	SCONJ
cana-5657	92	31	:	:	PUNCT
cana-5657	92	32	𝐹(𝑥	𝐹(𝑥	X
cana-5657	92	33	)	)	PUNCT
cana-5657	92	34	=	=	SYM
cana-5657	92	35	𝜇	𝜇	ADP
cana-5657	92	36	,	,	PUNCT
cana-5657	92	37	𝑈~(0,1	𝑈~(0,1	NOUN
cana-5657	92	38	)	)	PUNCT
cana-5657	92	39	5.2	5.2	NUM
cana-5657	92	40	parameters	parameter	NOUN
cana-5657	92	41	and	and	CCONJ
cana-5657	92	42	sample	sample	NOUN
cana-5657	92	43	size	size	NOUN
cana-5657	92	44	•	•	NUM
cana-5657	92	45	sample	sample	NOUN
cana-5657	92	46	size	size	NOUN
cana-5657	92	47	:	:	PUNCT
cana-5657	92	48	𝑛	𝑛	NOUN
cana-5657	92	49	=	=	SYM
cana-5657	92	50	10,000	10,000	NUM
cana-5657	92	51	•	•	NUM
cana-5657	92	52	shape	shape	NOUN
cana-5657	92	53	parameter	parameter	NOUN
cana-5657	92	54	:	:	PUNCT
cana-5657	92	55	𝜃	𝜃	NOUN
cana-5657	92	56	=	=	SYM
cana-5657	92	57	1	1	NUM
cana-5657	92	58	•	•	NOUN
cana-5657	92	59	credibility	credibility	NOUN
cana-5657	92	60	levels	level	NOUN
cana-5657	92	61	:	:	PUNCT
cana-5657	92	62	𝛾	𝛾	X
cana-5657	92	63	=	=	PUNCT
cana-5657	92	64	{	{	PUNCT
cana-5657	92	65	0.80	0.80	NUM
cana-5657	92	66	,	,	PUNCT
cana-5657	92	67	0.90	0.90	NUM
cana-5657	92	68	,	,	PUNCT
cana-5657	92	69	0.95	0.95	NUM
cana-5657	92	70	}	}	SYM
cana-5657	92	71	•	•	NUM
cana-5657	92	72	truth	truth	NOUN
cana-5657	92	73	threshold	threshold	NOUN
cana-5657	92	74	:	:	PUNCT
cana-5657	92	75	𝛼1	𝛼1	NOUN
cana-5657	92	76	=	=	SYM
cana-5657	92	77	0.7	0.7	NUM
cana-5657	92	78	•	•	NOUN
cana-5657	92	79	indeterminacy	indeterminacy	NOUN
cana-5657	92	80	threshold	threshold	NOUN
cana-5657	92	81	:	:	PUNCT
cana-5657	92	82	𝛼2	𝛼2	PROPN
cana-5657	92	83	=	=	NUM
cana-5657	92	84	0.2	0.2	NUM
cana-5657	92	85	•	•	NOUN
cana-5657	92	86	falsity	falsity	NOUN
cana-5657	92	87	threshold	threshold	NOUN
cana-5657	92	88	:	:	PUNCT
cana-5657	92	89	𝛼3	𝛼3	NOUN
cana-5657	92	90	=	=	NOUN
cana-5657	92	91	0.1	0.1	NUM
cana-5657	92	92	the	the	DET
cana-5657	92	93	neutrosophic	neutrosophic	ADJ
cana-5657	92	94	membership	membership	NOUN
cana-5657	92	95	values	value	NOUN
cana-5657	92	96	𝑇(𝑥	𝑇(𝑥	PROPN
cana-5657	92	97	)	)	PUNCT
cana-5657	92	98	,	,	PUNCT
cana-5657	92	99	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	92	100	)	)	PUNCT
cana-5657	92	101	,	,	PUNCT
cana-5657	92	102	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	92	103	)	)	PUNCT
cana-5657	92	104	were	be	AUX
cana-5657	92	105	generated	generate	VERB
cana-5657	92	106	using	use	VERB
cana-5657	92	107	stochastic	stochastic	ADJ
cana-5657	92	108	rules	rule	NOUN
cana-5657	92	109	such	such	ADJ
cana-5657	92	110	as	as	ADP
cana-5657	92	111	:	:	PUNCT
cana-5657	92	112	𝑇(𝑥	𝑇(𝑥	X
cana-5657	92	113	)	)	PUNCT
cana-5657	92	114	=	=	PUNCT
cana-5657	92	115	𝑚𝑎𝑥(0	𝑚𝑎𝑥(0	NOUN
cana-5657	92	116	,	,	PUNCT
cana-5657	92	117	𝑚𝑖𝑛(1	𝑚𝑖𝑛(1	NOUN
cana-5657	92	118	,	,	PUNCT
cana-5657	92	119	1	1	NUM
cana-5657	92	120	−	−	NOUN
cana-5657	92	121	|𝑥	|𝑥	NOUN
cana-5657	92	122	−	−	PROPN
cana-5657	92	123	µ|/𝜎	µ|/𝜎	NUM
cana-5657	92	124	)	)	PUNCT
cana-5657	92	125	)	)	PUNCT
cana-5657	92	126	,	,	PUNCT
cana-5657	92	127	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	92	128	)	)	PUNCT
cana-5657	92	129	=	=	SYM
cana-5657	92	130	1	1	NUM
cana-5657	92	131	−	−	NUM
cana-5657	92	132	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	92	133	)	)	PUNCT
cana-5657	92	134	,	,	PUNCT
cana-5657	92	135	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	92	136	)	)	PUNCT
cana-5657	92	137	=	=	SYM
cana-5657	92	138	1	1	NUM
cana-5657	92	139	−	−	NUM
cana-5657	92	140	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	92	141	)	)	PUNCT
cana-5657	92	142	where	where	SCONJ
cana-5657	92	143	µ	µ	NOUN
cana-5657	92	144	and	and	CCONJ
cana-5657	92	145	σ	σ	PROPN
cana-5657	92	146	are	be	AUX
cana-5657	92	147	the	the	DET
cana-5657	92	148	empirical	empirical	ADJ
cana-5657	92	149	mean	mean	NOUN
cana-5657	92	150	and	and	CCONJ
cana-5657	92	151	standard	standard	ADJ
cana-5657	92	152	deviation	deviation	NOUN
cana-5657	92	153	from	from	ADP
cana-5657	92	154	the	the	DET
cana-5657	92	155	simulated	simulate	VERB
cana-5657	92	156	data	datum	NOUN
cana-5657	92	157	.	.	PUNCT
cana-5657	93	1	communications	communication	NOUN
cana-5657	93	2	on	on	ADP
cana-5657	93	3	applied	apply	VERB
cana-5657	93	4	nonlinear	nonlinear	ADJ
cana-5657	93	5	analysis	analysis	NOUN
cana-5657	93	6	issn	issn	NOUN
cana-5657	93	7	:	:	PUNCT
cana-5657	93	8	1074	1074	NUM
cana-5657	93	9	-	-	PUNCT
cana-5657	93	10	133x	133x	NUM
cana-5657	93	11	vol	vol	VERB
cana-5657	93	12	32	32	NUM
cana-5657	93	13	no	no	NOUN
cana-5657	93	14	.	.	PUNCT
cana-5657	94	1	10s	10	NOUN
cana-5657	94	2	(	(	PUNCT
cana-5657	94	3	2025	2025	NUM
cana-5657	94	4	)	)	PUNCT
cana-5657	94	5	2641	2641	NUM
cana-5657	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	94	7	5.3	5.3	NUM
cana-5657	94	8	results	result	NOUN
cana-5657	94	9	for	for	ADP
cana-5657	94	10	each	each	DET
cana-5657	94	11	credibility	credibility	NOUN
cana-5657	94	12	level	level	NOUN
cana-5657	94	13	𝛾	𝛾	ADP
cana-5657	94	14	,	,	PUNCT
cana-5657	94	15	we	we	PRON
cana-5657	94	16	estimated	estimate	VERB
cana-5657	94	17	the	the	DET
cana-5657	94	18	neutrosophic	neutrosophic	ADJ
cana-5657	94	19	credibility	credibility	NOUN
cana-5657	94	20	bounds	bound	VERB
cana-5657	94	21	by	by	ADP
cana-5657	94	22	numerically	numerically	ADV
cana-5657	94	23	solving	solving	NOUN
cana-5657	94	24	:	:	PUNCT
cana-5657	94	25	𝐹(𝐿𝐵𝛾	𝐹(𝐿𝐵𝛾	NUM
cana-5657	94	26	)	)	PUNCT
cana-5657	94	27	=	=	SYM
cana-5657	95	1	1	1	NUM
cana-5657	95	2	−	−	NOUN
cana-5657	95	3	𝛾	𝛾	PROPN
cana-5657	95	4	2	2	NUM
cana-5657	95	5	,	,	PUNCT
cana-5657	95	6	𝐹(𝑈𝐵𝛾	𝐹(𝑈𝐵𝛾	PROPN
cana-5657	95	7	)	)	PUNCT
cana-5657	95	8	=	=	SYM
cana-5657	96	1	1	1	NUM
cana-5657	96	2	+	+	CCONJ
cana-5657	96	3	𝛾	𝛾	PROPN
cana-5657	96	4	2	2	NUM
cana-5657	96	5	credibility	credibility	NOUN
cana-5657	96	6	level	level	NOUN
cana-5657	96	7	𝜸	𝜸	ADP
cana-5657	96	8	lower	lower	ADV
cana-5657	96	9	bound	bind	VERB
cana-5657	96	10	𝑳𝑩𝜸	𝑳𝑩𝜸	NOUN
cana-5657	96	11	upper	upper	ADJ
cana-5657	96	12	bound	bind	VERB
cana-5657	96	13	𝑼𝑩𝜸	𝑼𝑩𝜸	NOUN
cana-5657	96	14	0.80	0.80	NUM
cana-5657	96	15	0.90	0.90	NUM
cana-5657	96	16	0.95	0.95	NUM
cana-5657	96	17	0.562	0.562	NUM
cana-5657	96	18	0.371	0.371	NUM
cana-5657	96	19	0.236	0.236	NUM
cana-5657	96	20	6.123	6.123	NUM
cana-5657	96	21	6.876	6.876	NUM
cana-5657	96	22	7.432	7.432	NUM
cana-5657	96	23	6	6	NUM
cana-5657	96	24	.	.	PUNCT
cana-5657	96	25	application	application	NOUN
cana-5657	96	26	in	in	ADP
cana-5657	96	27	actuarial	actuarial	ADJ
cana-5657	96	28	science	science	NOUN
cana-5657	96	29	6.1	6.1	NUM
cana-5657	96	30	background	background	NOUN
cana-5657	96	31	and	and	CCONJ
cana-5657	96	32	context	context	NOUN
cana-5657	96	33	in	in	ADP
cana-5657	96	34	actuarial	actuarial	ADJ
cana-5657	96	35	science	science	NOUN
cana-5657	96	36	,	,	PUNCT
cana-5657	96	37	modeling	model	VERB
cana-5657	96	38	claim	claim	NOUN
cana-5657	96	39	amounts	amount	VERB
cana-5657	96	40	accurately	accurately	ADV
cana-5657	96	41	is	be	AUX
cana-5657	96	42	vital	vital	ADJ
cana-5657	96	43	for	for	ADP
cana-5657	96	44	pricing	pricing	NOUN
cana-5657	96	45	,	,	PUNCT
cana-5657	96	46	reserving	reserving	NOUN
cana-5657	96	47	,	,	PUNCT
cana-5657	96	48	and	and	CCONJ
cana-5657	96	49	risk	risk	NOUN
cana-5657	96	50	assessment	assessment	NOUN
cana-5657	96	51	.	.	PUNCT
cana-5657	97	1	real	real	ADJ
cana-5657	97	2	-	-	PUNCT
cana-5657	97	3	world	world	NOUN
cana-5657	97	4	claim	claim	NOUN
cana-5657	97	5	data	datum	NOUN
cana-5657	97	6	is	be	AUX
cana-5657	97	7	often	often	ADV
cana-5657	97	8	uncertain	uncertain	ADJ
cana-5657	97	9	due	due	ADP
cana-5657	97	10	to	to	PART
cana-5657	97	11	:	:	PUNCT
cana-5657	97	12	•	•	NUM
cana-5657	97	13	reporting	reporting	NOUN
cana-5657	97	14	delays	delay	NOUN
cana-5657	97	15	•	•	VERB
cana-5657	97	16	incomplete	incomplete	ADJ
cana-5657	97	17	documentation	documentation	NOUN
cana-5657	97	18	,	,	PUNCT
cana-5657	97	19	•	•	NUM
cana-5657	97	20	expert	expert	NOUN
cana-5657	97	21	disagreement	disagreement	NOUN
cana-5657	97	22	or	or	CCONJ
cana-5657	97	23	fraud	fraud	NOUN
cana-5657	97	24	investigation	investigation	NOUN
cana-5657	97	25	,	,	PUNCT
cana-5657	97	26	external	external	ADJ
cana-5657	97	27	uncertainty	uncertainty	NOUN
cana-5657	97	28	(	(	PUNCT
cana-5657	97	29	e.g.	e.g.	ADV
cana-5657	97	30	,	,	PUNCT
cana-5657	97	31	inflation	inflation	NOUN
cana-5657	97	32	,	,	PUNCT
cana-5657	97	33	litigation	litigation	NOUN
cana-5657	97	34	)	)	PUNCT
cana-5657	97	35	.	.	PUNCT
cana-5657	98	1	classical	classical	ADJ
cana-5657	98	2	methods	method	NOUN
cana-5657	98	3	(	(	PUNCT
cana-5657	98	4	e.g.	e.g.	ADV
cana-5657	98	5	,	,	PUNCT
cana-5657	98	6	gamma	gamma	NOUN
cana-5657	98	7	or	or	CCONJ
cana-5657	98	8	log	log	NOUN
cana-5657	98	9	-	-	PUNCT
cana-5657	98	10	normal	normal	ADJ
cana-5657	98	11	models	model	NOUN
cana-5657	98	12	)	)	PUNCT
cana-5657	98	13	assume	assume	VERB
cana-5657	98	14	precise	precise	ADJ
cana-5657	98	15	,	,	PUNCT
cana-5657	98	16	complete	complete	ADJ
cana-5657	98	17	data	datum	NOUN
cana-5657	98	18	.	.	PUNCT
cana-5657	99	1	in	in	ADP
cana-5657	99	2	contrast	contrast	NOUN
cana-5657	99	3	,	,	PUNCT
cana-5657	99	4	the	the	DET
cana-5657	99	5	neutrosophic	neutrosophic	ADJ
cana-5657	99	6	credibility	credibility	NOUN
cana-5657	99	7	bound	bind	VERB
cana-5657	99	8	(	(	PUNCT
cana-5657	99	9	ncb	ncb	NOUN
cana-5657	99	10	)	)	PUNCT
cana-5657	99	11	approach	approach	NOUN
cana-5657	99	12	accommodates	accommodate	VERB
cana-5657	99	13	uncertainty	uncertainty	NOUN
cana-5657	99	14	in	in	ADP
cana-5657	99	15	both	both	DET
cana-5657	99	16	values	value	NOUN
cana-5657	99	17	and	and	CCONJ
cana-5657	99	18	their	their	PRON
cana-5657	99	19	credibility	credibility	NOUN
cana-5657	99	20	—	—	PUNCT
cana-5657	99	21	enhancing	enhance	VERB
cana-5657	99	22	decision	decision	NOUN
cana-5657	99	23	support	support	NOUN
cana-5657	99	24	in	in	ADP
cana-5657	99	25	actuarial	actuarial	ADJ
cana-5657	99	26	tasks	task	NOUN
cana-5657	99	27	.	.	PUNCT
cana-5657	100	1	6.2	6.2	NUM
cana-5657	100	2	dataset	dataset	NOUN
cana-5657	100	3	:	:	PUNCT
cana-5657	100	4	auto	auto	NOUN
cana-5657	100	5	insurance	insurance	NOUN
cana-5657	100	6	claims	claim	NOUN
cana-5657	100	7	based	base	VERB
cana-5657	100	8	on	on	ADP
cana-5657	100	9	real	real	ADJ
cana-5657	100	10	-	-	PUNCT
cana-5657	100	11	world	world	NOUN
cana-5657	100	12	auto	auto	NOUN
cana-5657	100	13	insurance	insurance	NOUN
cana-5657	100	14	data	datum	NOUN
cana-5657	100	15	from	from	ADP
cana-5657	100	16	lledo	lledo	PROPN
cana-5657	100	17	and	and	CCONJ
cana-5657	100	18	pavia	pavia	NOUN
cana-5657	100	19	[	[	X
cana-5657	100	20	15	15	NUM
cana-5657	100	21	]	]	PUNCT
cana-5657	100	22	.	.	PUNCT
cana-5657	101	1	we	we	PRON
cana-5657	101	2	use	use	VERB
cana-5657	101	3	anonymized	anonymize	VERB
cana-5657	101	4	claim	claim	NOUN
cana-5657	101	5	amount	amount	NOUN
cana-5657	101	6	data	datum	NOUN
cana-5657	101	7	(	(	PUNCT
cana-5657	101	8	in	in	ADP
cana-5657	101	9	thousands	thousand	NOUN
cana-5657	101	10	of	of	ADP
cana-5657	101	11	dollars	dollar	NOUN
cana-5657	101	12	)	)	PUNCT
cana-5657	101	13	from	from	ADP
cana-5657	101	14	a	a	DET
cana-5657	101	15	mid	mid	ADJ
cana-5657	101	16	-	-	ADJ
cana-5657	101	17	sized	sized	ADJ
cana-5657	101	18	auto	auto	NOUN
cana-5657	101	19	insurer	insurer	NOUN
cana-5657	101	20	:	:	PUNCT
cana-5657	101	21	{	{	PUNCT
cana-5657	101	22	1.2	1.2	NUM
cana-5657	101	23	,	,	PUNCT
cana-5657	101	24	2.1	2.1	NUM
cana-5657	101	25	,	,	PUNCT
cana-5657	101	26	3.5	3.5	NUM
cana-5657	101	27	,	,	PUNCT
cana-5657	101	28	4.8	4.8	NUM
cana-5657	101	29	,	,	PUNCT
cana-5657	101	30	1.7	1.7	NUM
cana-5657	101	31	,	,	PUNCT
cana-5657	101	32	5.2	5.2	NUM
cana-5657	101	33	,	,	PUNCT
cana-5657	101	34	6.3	6.3	NUM
cana-5657	101	35	,	,	PUNCT
cana-5657	101	36	3.9	3.9	NUM
cana-5657	101	37	,	,	PUNCT
cana-5657	101	38	7.1	7.1	NUM
cana-5657	101	39	,	,	PUNCT
cana-5657	101	40	8.5	8.5	NUM
cana-5657	101	41	,	,	PUNCT
cana-5657	101	42	10.4	10.4	NUM
cana-5657	101	43	,	,	PUNCT
cana-5657	101	44	12.3	12.3	NUM
cana-5657	101	45	,	,	PUNCT
cana-5657	101	46	14.7	14.7	NUM
cana-5657	101	47	,	,	PUNCT
cana-5657	101	48	2.5	2.5	NUM
cana-5657	101	49	,	,	PUNCT
cana-5657	101	50	9.1	9.1	NUM
cana-5657	101	51	}	}	PUNCT
cana-5657	101	52	the	the	DET
cana-5657	101	53	data	datum	NOUN
cana-5657	101	54	shows	show	VERB
cana-5657	101	55	a	a	DET
cana-5657	101	56	right	right	ADV
cana-5657	101	57	-	-	PUNCT
cana-5657	101	58	skewed	skewed	ADJ
cana-5657	101	59	distribution	distribution	NOUN
cana-5657	101	60	with	with	ADP
cana-5657	101	61	potential	potential	ADJ
cana-5657	101	62	outliers	outlier	NOUN
cana-5657	101	63	and	and	CCONJ
cana-5657	101	64	uncertain	uncertain	ADJ
cana-5657	101	65	entries	entry	NOUN
cana-5657	101	66	.	.	PUNCT
cana-5657	102	1	based	base	VERB
cana-5657	102	2	on	on	ADP
cana-5657	102	3	actuarial	actuarial	ADJ
cana-5657	102	4	review	review	NOUN
cana-5657	102	5	:	:	PUNCT
cana-5657	102	6	3	3	NUM
cana-5657	102	7	values	value	NOUN
cana-5657	102	8	(	(	PUNCT
cana-5657	102	9	10.4	10.4	NUM
cana-5657	102	10	,	,	PUNCT
cana-5657	102	11	12.3	12.3	NUM
cana-5657	102	12	,	,	PUNCT
cana-5657	102	13	14.7	14.7	NUM
cana-5657	102	14	)	)	PUNCT
cana-5657	102	15	have	have	VERB
cana-5657	102	16	conflicting	conflict	VERB
cana-5657	102	17	loss	loss	NOUN
cana-5657	102	18	assessments	assessment	NOUN
cana-5657	102	19	,	,	PUNCT
cana-5657	102	20	2	2	NUM
cana-5657	102	21	values	value	NOUN
cana-5657	102	22	(	(	PUNCT
cana-5657	102	23	1.2	1.2	NUM
cana-5657	102	24	,	,	PUNCT
cana-5657	102	25	1.7	1.7	NUM
cana-5657	102	26	)	)	PUNCT
cana-5657	102	27	are	be	AUX
cana-5657	102	28	flagged	flag	VERB
cana-5657	102	29	as	as	ADP
cana-5657	102	30	potential	potential	ADJ
cana-5657	102	31	underreporting	underreporte	VERB
cana-5657	102	32	6.3	6.3	NUM
cana-5657	102	33	neutrosophic	neutrosophic	ADJ
cana-5657	102	34	setup	setup	NOUN
cana-5657	102	35	we	we	PRON
cana-5657	102	36	model	model	VERB
cana-5657	102	37	this	this	DET
cana-5657	102	38	data	datum	NOUN
cana-5657	102	39	using	use	VERB
cana-5657	102	40	a	a	DET
cana-5657	102	41	*	*	ADJ
cana-5657	102	42	*	*	ADJ
cana-5657	102	43	neutrosophic	neutrosophic	ADJ
cana-5657	102	44	random	random	ADJ
cana-5657	102	45	variable	variable	NOUN
cana-5657	102	46	*	*	NOUN
cana-5657	102	47	*	*	NOUN
cana-5657	102	48	𝑋𝑁	𝑋𝑁	PROPN
cana-5657	102	49	=	=	SYM
cana-5657	102	50	(	(	PUNCT
cana-5657	102	51	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	102	52	)	)	PUNCT
cana-5657	102	53	,	,	PUNCT
cana-5657	102	54	𝐼(𝑥	𝐼(𝑥	PROPN
cana-5657	102	55	)	)	PUNCT
cana-5657	102	56	,	,	PUNCT
cana-5657	102	57	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	102	58	)	)	PUNCT
cana-5657	102	59	)	)	PUNCT
cana-5657	102	60	as	as	SCONJ
cana-5657	102	61	follows	follow	VERB
cana-5657	102	62	:	:	PUNCT
cana-5657	102	63	communications	communication	NOUN
cana-5657	102	64	on	on	ADP
cana-5657	102	65	applied	apply	VERB
cana-5657	102	66	nonlinear	nonlinear	ADJ
cana-5657	102	67	analysis	analysis	NOUN
cana-5657	102	68	issn	issn	NOUN
cana-5657	102	69	:	:	PUNCT
cana-5657	102	70	1074	1074	NUM
cana-5657	102	71	-	-	PUNCT
cana-5657	102	72	133x	133x	NUM
cana-5657	102	73	vol	vol	VERB
cana-5657	102	74	32	32	NUM
cana-5657	102	75	no	no	NOUN
cana-5657	102	76	.	.	PUNCT
cana-5657	103	1	10s	10	NOUN
cana-5657	103	2	(	(	PUNCT
cana-5657	103	3	2025	2025	NUM
cana-5657	103	4	)	)	PUNCT
cana-5657	103	5	2642	2642	NUM
cana-5657	103	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	103	7	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	103	8	)	)	PUNCT
cana-5657	103	9	=	=	SYM
cana-5657	103	10	max	max	PROPN
cana-5657	103	11	(	(	PUNCT
cana-5657	103	12	0	0	NUM
cana-5657	103	13	,	,	PUNCT
cana-5657	103	14	min	min	NOUN
cana-5657	103	15	(	(	PUNCT
cana-5657	103	16	1,1	1,1	NUM
cana-5657	103	17	−	−	NOUN
cana-5657	104	1	|	|	ADV
cana-5657	105	1	𝑥	𝑥	PROPN
cana-5657	105	2	−	−	NOUN
cana-5657	105	3	𝜇	𝜇	ADP
cana-5657	105	4	𝑘𝜎	𝑘𝜎	PROPN
cana-5657	105	5	|	|	NOUN
cana-5657	105	6	)	)	PUNCT
cana-5657	105	7	)	)	PUNCT
cana-5657	106	1	,	,	PUNCT
cana-5657	106	2	𝐼(𝑥	𝐼(𝑥	X
cana-5657	106	3	)	)	PUNCT
cana-5657	106	4	=	=	SYM
cana-5657	106	5	𝑇(𝑥)2	𝑇(𝑥)2	NOUN
cana-5657	106	6	,	,	PUNCT
cana-5657	106	7	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	106	8	)	)	PUNCT
cana-5657	106	9	=	=	SYM
cana-5657	106	10	−𝑇(𝑥	−𝑇(𝑥	PROPN
cana-5657	106	11	)	)	PUNCT
cana-5657	106	12	.	.	PUNCT
cana-5657	107	1	where	where	SCONJ
cana-5657	107	2	µ	µ	X
cana-5657	107	3	=	=	SYM
cana-5657	107	4	6.0	6.0	NUM
cana-5657	107	5	,	,	PUNCT
cana-5657	107	6	𝜎	𝜎	NOUN
cana-5657	107	7	=	=	SYM
cana-5657	107	8	3.8	3.8	NUM
cana-5657	107	9	(	(	PUNCT
cana-5657	107	10	sample	sample	NOUN
cana-5657	107	11	mean	mean	NOUN
cana-5657	107	12	and	and	CCONJ
cana-5657	107	13	std	std	PROPN
cana-5657	107	14	dev	dev	PROPN
cana-5657	107	15	)	)	PUNCT
cana-5657	107	16	,	,	PUNCT
cana-5657	107	17	and	and	CCONJ
cana-5657	107	18	𝑘	𝑘	DET
cana-5657	107	19	=	=	SYM
cana-5657	107	20	1.5	1.5	NUM
cana-5657	107	21	controls	control	VERB
cana-5657	107	22	the	the	DET
cana-5657	107	23	sensitivity	sensitivity	NOUN
cana-5657	107	24	of	of	ADP
cana-5657	107	25	uncertainty	uncertainty	NOUN
cana-5657	107	26	.	.	PUNCT
cana-5657	108	1	values	value	NOUN
cana-5657	108	2	with	with	ADP
cana-5657	108	3	expert	expert	ADJ
cana-5657	108	4	dispute	dispute	NOUN
cana-5657	108	5	are	be	AUX
cana-5657	108	6	manually	manually	ADV
cana-5657	108	7	adjusted	adjust	VERB
cana-5657	108	8	to	to	ADP
cana-5657	108	9	𝑇(𝑥	𝑇(𝑥	NUM
cana-5657	108	10	)	)	PUNCT
cana-5657	108	11	=	=	NOUN
cana-5657	108	12	0.5	0.5	NUM
cana-5657	108	13	,	,	PUNCT
cana-5657	108	14	𝐼(𝑥	𝐼(𝑥	X
cana-5657	108	15	)	)	PUNCT
cana-5657	108	16	=	=	NUM
cana-5657	108	17	0.4	0.4	NUM
cana-5657	108	18	,	,	PUNCT
cana-5657	108	19	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	108	20	)	)	PUNCT
cana-5657	108	21	=	=	SYM
cana-5657	108	22	0.5	0.5	NUM
cana-5657	108	23	.	.	PUNCT
cana-5657	108	24	6.4	6.4	NUM
cana-5657	108	25	model	model	NOUN
cana-5657	108	26	fitting	fitting	ADJ
cana-5657	108	27	:	:	PUNCT
cana-5657	108	28	xexponential	xexponential	ADJ
cana-5657	108	29	distribution	distribution	NOUN
cana-5657	108	30	we	we	PRON
cana-5657	108	31	fit	fit	VERB
cana-5657	108	32	the	the	DET
cana-5657	108	33	xexponential	xexponential	ADJ
cana-5657	108	34	distribution	distribution	NOUN
cana-5657	108	35	to	to	ADP
cana-5657	108	36	the	the	DET
cana-5657	108	37	observed	observe	VERB
cana-5657	108	38	data	datum	NOUN
cana-5657	108	39	using	use	VERB
cana-5657	108	40	maximum	maximum	ADJ
cana-5657	108	41	likelihood	likelihood	NOUN
cana-5657	108	42	estimation	estimation	NOUN
cana-5657	108	43	(	(	PUNCT
cana-5657	108	44	mle	mle	PROPN
cana-5657	108	45	)	)	PUNCT
cana-5657	108	46	.	.	PUNCT
cana-5657	109	1	the	the	DET
cana-5657	109	2	estimated	estimate	VERB
cana-5657	109	3	parameter	parameter	NOUN
cana-5657	109	4	is	be	AUX
cana-5657	109	5	:	:	PUNCT
cana-5657	109	6	𝜃	𝜃	X
cana-5657	109	7	=	=	SYM
cana-5657	109	8	0.82	0.82	NUM
cana-5657	109	9	goodness	goodness	NOUN
cana-5657	109	10	-	-	PUNCT
cana-5657	109	11	of	of	ADP
cana-5657	109	12	-	-	PUNCT
cana-5657	109	13	fit	fit	ADJ
cana-5657	109	14	(	(	PUNCT
cana-5657	109	15	e.g.	e.g.	ADV
cana-5657	109	16	,	,	PUNCT
cana-5657	109	17	via	via	ADP
cana-5657	109	18	𝐴𝐼𝐶/𝐵𝐼𝐶	𝐴𝐼𝐶/𝐵𝐼𝐶	NOUN
cana-5657	109	19	and	and	CCONJ
cana-5657	109	20	𝑄	𝑄	PROPN
cana-5657	109	21	−	−	PROPN
cana-5657	109	22	𝑄	𝑄	PROPN
cana-5657	109	23	𝑝𝑙𝑜𝑡	𝑝𝑙𝑜𝑡	NOUN
cana-5657	109	24	)	)	PUNCT
cana-5657	109	25	suggests	suggest	VERB
cana-5657	109	26	an	an	DET
cana-5657	109	27	acceptable	acceptable	ADJ
cana-5657	109	28	fit	fit	NOUN
cana-5657	109	29	for	for	ADP
cana-5657	109	30	moderately	moderately	ADV
cana-5657	109	31	heavy	heavy	ADJ
cana-5657	109	32	-	-	PUNCT
cana-5657	109	33	tailed	tail	VERB
cana-5657	109	34	loss	loss	NOUN
cana-5657	109	35	data	datum	NOUN
cana-5657	109	36	.	.	PUNCT
cana-5657	110	1	6.5	6.5	NUM
cana-5657	110	2	computation	computation	NOUN
cana-5657	110	3	of	of	ADP
cana-5657	110	4	neutrosophic	neutrosophic	ADJ
cana-5657	110	5	credibility	credibility	NOUN
cana-5657	110	6	bounds	bound	VERB
cana-5657	110	7	for	for	ADP
cana-5657	110	8	credibility	credibility	NOUN
cana-5657	110	9	level	level	NOUN
cana-5657	110	10	𝛾	𝛾	NOUN
cana-5657	110	11	=	=	SYM
cana-5657	110	12	0.90	0.90	NUM
cana-5657	110	13	,	,	PUNCT
cana-5657	110	14	thresholds	threshold	VERB
cana-5657	110	15	𝛼1	𝛼1	NOUN
cana-5657	110	16	=	=	SYM
cana-5657	110	17	0.7	0.7	NUM
cana-5657	110	18	,	,	PUNCT
cana-5657	110	19	𝛼2	𝛼2	PROPN
cana-5657	110	20	=	=	NUM
cana-5657	110	21	0.3	0.3	NUM
cana-5657	110	22	,	,	PUNCT
cana-5657	110	23	𝛼3	𝛼3	ADV
cana-5657	110	24	=	=	NOUN
cana-5657	110	25	0.3	0.3	NUM
cana-5657	110	26	,	,	PUNCT
cana-5657	110	27	we	we	PRON
cana-5657	110	28	solve	solve	VERB
cana-5657	110	29	:	:	PUNCT
cana-5657	110	30	𝐹(𝐿𝐵𝛾	𝐹(𝐿𝐵𝛾	NUM
cana-5657	110	31	)	)	PUNCT
cana-5657	110	32	=	=	SYM
cana-5657	110	33	0.05	0.05	NUM
cana-5657	110	34	,	,	PUNCT
cana-5657	110	35	𝐹(𝑈𝐵𝛾	𝐹(𝑈𝐵𝛾	PROPN
cana-5657	110	36	)	)	PUNCT
cana-5657	110	37	=	=	SYM
cana-5657	111	1	0.95	0.95	NUM
cana-5657	111	2	using	use	VERB
cana-5657	111	3	the	the	DET
cana-5657	111	4	cdf	cdf	NOUN
cana-5657	111	5	of	of	ADP
cana-5657	111	6	the	the	DET
cana-5657	111	7	xexponential	xexponential	ADJ
cana-5657	111	8	distribution	distribution	NOUN
cana-5657	111	9	:	:	PUNCT
cana-5657	111	10	𝐹(𝑥	𝐹(𝑥	NUM
cana-5657	111	11	;	;	PUNCT
cana-5657	111	12	𝜃	𝜃	X
cana-5657	111	13	)	)	PUNCT
cana-5657	111	14	=	=	SYM
cana-5657	112	1	1	1	NUM
cana-5657	112	2	−	−	NUM
cana-5657	112	3	1	1	NUM
cana-5657	112	4	3	3	NUM
cana-5657	112	5	(	(	PUNCT
cana-5657	112	6	2	2	NUM
cana-5657	112	7	+	+	CCONJ
cana-5657	112	8	𝜃𝑥)𝑒−𝜃𝑥	𝜃𝑥)𝑒−𝜃𝑥	X
cana-5657	112	9	result	result	NOUN
cana-5657	112	10	(	(	PUNCT
cana-5657	112	11	numerical	numerical	ADJ
cana-5657	112	12	root	root	NOUN
cana-5657	112	13	solving	solving	NOUN
cana-5657	112	14	):	):	PUNCT
cana-5657	112	15	𝑁𝐶𝐵0.90(𝑋	𝑁𝐶𝐵0.90(𝑋	NOUN
cana-5657	112	16	)	)	PUNCT
cana-5657	112	17	=	=	PUNCT
cana-5657	113	1	[	[	X
cana-5657	113	2	1.01	1.01	NUM
cana-5657	113	3	,	,	PUNCT
cana-5657	113	4	13.82	13.82	NUM
cana-5657	113	5	]	]	PUNCT
cana-5657	113	6	6.6	6.6	NUM
cana-5657	113	7	interpretation	interpretation	NOUN
cana-5657	113	8	and	and	CCONJ
cana-5657	113	9	implications	implication	NOUN
cana-5657	113	10	•	•	ADP
cana-5657	113	11	the	the	DET
cana-5657	113	12	insurer	insurer	NOUN
cana-5657	113	13	can	can	AUX
cana-5657	113	14	reserve	reserve	VERB
cana-5657	113	15	for	for	ADP
cana-5657	113	16	claims	claim	NOUN
cana-5657	113	17	between	between	ADP
cana-5657	113	18	$	$	SYM
cana-5657	113	19	1,010	1,010	NUM
cana-5657	113	20	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5657	113	21	$	$	SYM
cana-5657	113	22	13,820	13,820	NUM
cana-5657	113	23	,	,	PUNCT
cana-5657	113	24	with	with	ADP
cana-5657	113	25	high	high	ADJ
cana-5657	113	26	credibility	credibility	NOUN
cana-5657	113	27	(	(	PUNCT
cana-5657	113	28	90	90	NUM
cana-5657	113	29	%	%	NOUN
cana-5657	113	30	)	)	PUNCT
cana-5657	113	31	and	and	CCONJ
cana-5657	113	32	controlled	control	VERB
cana-5657	113	33	uncertainty	uncertainty	NOUN
cana-5657	113	34	.	.	PUNCT
cana-5657	114	1	•	•	NUM
cana-5657	114	2	values	value	NOUN
cana-5657	114	3	below	below	ADP
cana-5657	114	4	$	$	SYM
cana-5657	114	5	1,000	1,000	NUM
cana-5657	114	6	or	or	CCONJ
cana-5657	114	7	above	above	ADP
cana-5657	114	8	$	$	SYM
cana-5657	114	9	14,000	14,000	NUM
cana-5657	114	10	are	be	AUX
cana-5657	114	11	either	either	CCONJ
cana-5657	114	12	not	not	PART
cana-5657	114	13	credible	credible	ADJ
cana-5657	114	14	(	(	PUNCT
cana-5657	114	15	𝑙𝑜𝑤	𝑙𝑜𝑤	NOUN
cana-5657	114	16	𝑇(𝑥	𝑇(𝑥	NOUN
cana-5657	114	17	)	)	PUNCT
cana-5657	114	18	)	)	PUNCT
cana-5657	114	19	or	or	CCONJ
cana-5657	114	20	highly	highly	ADV
cana-5657	114	21	indeterminate	indeterminate	ADJ
cana-5657	114	22	(	(	PUNCT
cana-5657	114	23	ℎ𝑖𝑔ℎ	ℎ𝑖𝑔ℎ	NOUN
cana-5657	114	24	𝐼(𝑥	𝐼(𝑥	NOUN
cana-5657	114	25	)	)	PUNCT
cana-5657	114	26	)	)	PUNCT
cana-5657	114	27	.	.	PUNCT
cana-5657	115	1	•	•	NOUN
cana-5657	115	2	claims	claim	NOUN
cana-5657	115	3	departments	department	NOUN
cana-5657	115	4	can	can	AUX
cana-5657	115	5	flag	flag	VERB
cana-5657	115	6	cases	case	NOUN
cana-5657	115	7	outside	outside	ADP
cana-5657	115	8	this	this	DET
cana-5657	115	9	range	range	NOUN
cana-5657	115	10	for	for	ADP
cana-5657	115	11	deeper	deep	ADJ
cana-5657	115	12	manual	manual	ADJ
cana-5657	115	13	review	review	NOUN
cana-5657	115	14	or	or	CCONJ
cana-5657	115	15	further	further	ADJ
cana-5657	115	16	expert	expert	NOUN
cana-5657	115	17	consultation	consultation	NOUN
cana-5657	115	18	.	.	PUNCT
cana-5657	116	1	•	•	ADV
cana-5657	116	2	unlike	unlike	ADP
cana-5657	116	3	traditional	traditional	ADJ
cana-5657	116	4	percentile	percentile	ADJ
cana-5657	116	5	intervals	interval	NOUN
cana-5657	116	6	,	,	PUNCT
cana-5657	116	7	𝑁𝐶𝐵𝑠	𝑁𝐶𝐵𝑠	NOUN
cana-5657	116	8	incorporate	incorporate	VERB
cana-5657	116	9	uncertainty	uncertainty	NOUN
cana-5657	116	10	in	in	ADP
cana-5657	116	11	expert	expert	ADJ
cana-5657	116	12	opinion	opinion	NOUN
cana-5657	116	13	and	and	CCONJ
cana-5657	116	14	reporting	report	VERB
cana-5657	116	15	quality	quality	NOUN
cana-5657	116	16	.	.	PUNCT
cana-5657	117	1	6.7	6.7	NUM
cana-5657	117	2	actuarial	actuarial	ADJ
cana-5657	117	3	relevance	relevance	NOUN
cana-5657	117	4	this	this	DET
cana-5657	117	5	approach	approach	NOUN
cana-5657	117	6	aligns	align	VERB
cana-5657	117	7	with	with	ADP
cana-5657	117	8	risk	risk	NOUN
cana-5657	117	9	-	-	PUNCT
cana-5657	117	10	based	base	VERB
cana-5657	117	11	capital	capital	NOUN
cana-5657	117	12	(	(	PUNCT
cana-5657	117	13	𝑅𝐵𝐶	𝑅𝐵𝐶	PROPN
cana-5657	117	14	)	)	PUNCT
cana-5657	117	15	practices	practice	NOUN
cana-5657	117	16	under	under	ADP
cana-5657	117	17	solvency	solvency	NOUN
cana-5657	117	18	regulations	regulation	NOUN
cana-5657	117	19	(	(	PUNCT
cana-5657	117	20	𝑒.	𝑒.	PROPN
cana-5657	117	21	𝑔.	𝑔.	PROPN
cana-5657	117	22	,	,	PUNCT
cana-5657	117	23	𝑆𝑜𝑙𝑣𝑒𝑛𝑐𝑦	𝑆𝑜𝑙𝑣𝑒𝑛𝑐𝑦	PROPN
cana-5657	117	24	𝐼𝐼	𝐼𝐼	PROPN
cana-5657	117	25	,	,	PUNCT
cana-5657	117	26	𝑁𝐴𝐼𝐶	𝑁𝐴𝐼𝐶	PROPN
cana-5657	117	27	)	)	PUNCT
cana-5657	117	28	.	.	PUNCT
cana-5657	118	1	it	it	PRON
cana-5657	118	2	allows	allow	VERB
cana-5657	118	3	actuaries	actuary	NOUN
cana-5657	118	4	to	to	PART
cana-5657	118	5	:	:	PUNCT
cana-5657	118	6	communications	communication	NOUN
cana-5657	118	7	on	on	ADP
cana-5657	118	8	applied	apply	VERB
cana-5657	118	9	nonlinear	nonlinear	ADJ
cana-5657	118	10	analysis	analysis	NOUN
cana-5657	118	11	issn	issn	NOUN
cana-5657	118	12	:	:	PUNCT
cana-5657	118	13	1074	1074	NUM
cana-5657	118	14	-	-	PUNCT
cana-5657	118	15	133x	133x	NUM
cana-5657	118	16	vol	vol	VERB
cana-5657	118	17	32	32	NUM
cana-5657	118	18	no	no	NOUN
cana-5657	118	19	.	.	PUNCT
cana-5657	119	1	10s	10	NOUN
cana-5657	119	2	(	(	PUNCT
cana-5657	119	3	2025	2025	NUM
cana-5657	119	4	)	)	PUNCT
cana-5657	119	5	2643	2643	NUM
cana-5657	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	119	7	•	•	X
cana-5657	119	8	quantify	quantify	ADJ
cana-5657	119	9	uncertainty	uncertainty	NOUN
cana-5657	119	10	in	in	ADP
cana-5657	119	11	claims	claim	NOUN
cana-5657	119	12	data	datum	NOUN
cana-5657	119	13	using	use	VERB
cana-5657	119	14	both	both	CCONJ
cana-5657	119	15	statistical	statistical	ADJ
cana-5657	119	16	and	and	CCONJ
cana-5657	119	17	logical	logical	ADJ
cana-5657	119	18	perspectives	perspective	NOUN
cana-5657	119	19	.	.	PUNCT
cana-5657	120	1	•	•	NUM
cana-5657	120	2	generate	generate	VERB
cana-5657	120	3	robust	robust	ADJ
cana-5657	120	4	pricing	pricing	NOUN
cana-5657	120	5	and	and	CCONJ
cana-5657	120	6	reserving	reserving	NOUN
cana-5657	120	7	strategies	strategy	NOUN
cana-5657	120	8	.	.	PUNCT
cana-5657	121	1	•	•	NUM
cana-5657	121	2	communicate	communicate	VERB
cana-5657	121	3	uncertainty	uncertainty	NOUN
cana-5657	121	4	to	to	ADP
cana-5657	121	5	stakeholders	stakeholder	NOUN
cana-5657	121	6	in	in	ADP
cana-5657	121	7	more	more	ADV
cana-5657	121	8	meaningful	meaningful	ADJ
cana-5657	121	9	and	and	CCONJ
cana-5657	121	10	interpretable	interpretable	ADJ
cana-5657	121	11	terms	term	NOUN
cana-5657	121	12	.	.	PUNCT
cana-5657	122	1	7	7	X
cana-5657	122	2	.	.	X
cana-5657	122	3	conclusion	conclusion	NOUN
cana-5657	122	4	in	in	ADP
cana-5657	122	5	this	this	DET
cana-5657	122	6	study	study	NOUN
cana-5657	122	7	,	,	PUNCT
cana-5657	122	8	we	we	PRON
cana-5657	122	9	introduced	introduce	VERB
cana-5657	122	10	and	and	CCONJ
cana-5657	122	11	explored	explore	VERB
cana-5657	122	12	the	the	DET
cana-5657	122	13	concept	concept	NOUN
cana-5657	122	14	of	of	ADP
cana-5657	122	15	neutrosophic	neutrosophic	ADJ
cana-5657	122	16	credibility	credibility	NOUN
cana-5657	122	17	bounds	bound	NOUN
cana-5657	122	18	(	(	PUNCT
cana-5657	122	19	ncbs	ncbs	NOUN
cana-5657	122	20	)	)	PUNCT
cana-5657	122	21	using	use	VERB
cana-5657	122	22	the	the	DET
cana-5657	122	23	xexponential	xexponential	ADJ
cana-5657	122	24	distribution	distribution	NOUN
cana-5657	122	25	as	as	ADP
cana-5657	122	26	a	a	DET
cana-5657	122	27	probabilistic	probabilistic	ADJ
cana-5657	122	28	foundation	foundation	NOUN
cana-5657	122	29	.	.	PUNCT
cana-5657	123	1	by	by	ADP
cana-5657	123	2	integrating	integrate	VERB
cana-5657	123	3	neutrosophic	neutrosophic	ADJ
cana-5657	123	4	logic	logic	NOUN
cana-5657	123	5	which	which	PRON
cana-5657	123	6	allows	allow	VERB
cana-5657	123	7	for	for	ADP
cana-5657	123	8	simultaneous	simultaneous	ADJ
cana-5657	123	9	modeling	modeling	NOUN
cana-5657	123	10	of	of	ADP
cana-5657	123	11	truth	truth	NOUN
cana-5657	123	12	,	,	PUNCT
cana-5657	123	13	indeterminacy	indeterminacy	NOUN
cana-5657	123	14	,	,	PUNCT
cana-5657	123	15	and	and	CCONJ
cana-5657	123	16	falsity	falsity	NOUN
cana-5657	123	17	with	with	ADP
cana-5657	123	18	credibility	credibility	NOUN
cana-5657	123	19	theory	theory	NOUN
cana-5657	123	20	,	,	PUNCT
cana-5657	123	21	we	we	PRON
cana-5657	123	22	developed	develop	VERB
cana-5657	123	23	a	a	DET
cana-5657	123	24	robust	robust	ADJ
cana-5657	123	25	interval	interval	NOUN
cana-5657	123	26	estimation	estimation	NOUN
cana-5657	123	27	method	method	NOUN
cana-5657	123	28	that	that	PRON
cana-5657	123	29	accommodates	accommodate	VERB
cana-5657	123	30	both	both	CCONJ
cana-5657	123	31	quantitative	quantitative	ADJ
cana-5657	123	32	uncertainty	uncertainty	NOUN
cana-5657	123	33	and	and	CCONJ
cana-5657	123	34	qualitative	qualitative	ADJ
cana-5657	123	35	ambiguity	ambiguity	NOUN
cana-5657	123	36	in	in	ADP
cana-5657	123	37	data	datum	NOUN
cana-5657	123	38	.	.	PUNCT
cana-5657	124	1	we	we	PRON
cana-5657	124	2	derived	derive	VERB
cana-5657	124	3	key	key	ADJ
cana-5657	124	4	properties	property	NOUN
cana-5657	124	5	of	of	ADP
cana-5657	124	6	the	the	DET
cana-5657	124	7	xexponential	xexponential	ADJ
cana-5657	124	8	distribution	distribution	NOUN
cana-5657	124	9	,	,	PUNCT
cana-5657	124	10	including	include	VERB
cana-5657	124	11	its	its	PRON
cana-5657	124	12	cumulative	cumulative	ADJ
cana-5657	124	13	distribution	distribution	NOUN
cana-5657	124	14	function	function	NOUN
cana-5657	124	15	,	,	PUNCT
cana-5657	124	16	mean	mean	VERB
cana-5657	124	17	,	,	PUNCT
cana-5657	124	18	and	and	CCONJ
cana-5657	124	19	variance	variance	NOUN
cana-5657	124	20	,	,	PUNCT
cana-5657	124	21	and	and	CCONJ
cana-5657	124	22	demonstrated	demonstrate	VERB
cana-5657	124	23	how	how	SCONJ
cana-5657	124	24	it	it	PRON
cana-5657	124	25	can	can	AUX
cana-5657	124	26	be	be	AUX
cana-5657	124	27	used	use	VERB
cana-5657	124	28	to	to	PART
cana-5657	124	29	construct	construct	VERB
cana-5657	124	30	𝑁𝐶𝐵𝑠.	𝑁𝐶𝐵𝑠.	NOUN
cana-5657	124	31	the	the	DET
cana-5657	124	32	proposed	propose	VERB
cana-5657	124	33	methodology	methodology	NOUN
cana-5657	124	34	was	be	AUX
cana-5657	124	35	further	far	ADV
cana-5657	124	36	enhanced	enhance	VERB
cana-5657	124	37	through	through	ADP
cana-5657	124	38	mathematical	mathematical	ADJ
cana-5657	124	39	proofs	proof	NOUN
cana-5657	124	40	,	,	PUNCT
cana-5657	124	41	graphical	graphical	ADJ
cana-5657	124	42	analysis	analysis	NOUN
cana-5657	124	43	,	,	PUNCT
cana-5657	124	44	and	and	CCONJ
cana-5657	124	45	numerical	numerical	ADJ
cana-5657	124	46	bounds	bound	NOUN
cana-5657	124	47	based	base	VERB
cana-5657	124	48	on	on	ADP
cana-5657	124	49	credibility	credibility	NOUN
cana-5657	124	50	thresholds	threshold	VERB
cana-5657	124	51	.	.	PUNCT
cana-5657	125	1	a	a	DET
cana-5657	125	2	real	real	ADJ
cana-5657	125	3	-	-	PUNCT
cana-5657	125	4	world	world	NOUN
cana-5657	125	5	application	application	NOUN
cana-5657	125	6	in	in	ADP
cana-5657	125	7	actuarial	actuarial	ADJ
cana-5657	125	8	science	science	NOUN
cana-5657	125	9	was	be	AUX
cana-5657	125	10	presented	present	VERB
cana-5657	125	11	using	use	VERB
cana-5657	125	12	a	a	DET
cana-5657	125	13	public	public	ADJ
cana-5657	125	14	motor	motor	NOUN
cana-5657	125	15	vehicle	vehicle	NOUN
cana-5657	125	16	insurance	insurance	NOUN
cana-5657	125	17	dataset	dataset	NOUN
cana-5657	125	18	.	.	PUNCT
cana-5657	126	1	we	we	PRON
cana-5657	126	2	showed	show	VERB
cana-5657	126	3	that	that	SCONJ
cana-5657	126	4	𝑁𝐶𝐵𝑠	𝑁𝐶𝐵𝑠	NOUN
cana-5657	126	5	provide	provide	VERB
cana-5657	126	6	a	a	DET
cana-5657	126	7	meaningful	meaningful	ADJ
cana-5657	126	8	and	and	CCONJ
cana-5657	126	9	practical	practical	ADJ
cana-5657	126	10	way	way	NOUN
cana-5657	126	11	to	to	PART
cana-5657	126	12	estimate	estimate	VERB
cana-5657	126	13	claim	claim	NOUN
cana-5657	126	14	ranges	range	VERB
cana-5657	126	15	under	under	ADP
cana-5657	126	16	conditions	condition	NOUN
cana-5657	126	17	of	of	ADP
cana-5657	126	18	incomplete	incomplete	ADJ
cana-5657	126	19	or	or	CCONJ
cana-5657	126	20	conflicting	conflicting	ADJ
cana-5657	126	21	information	information	NOUN
cana-5657	126	22	offering	offer	VERB
cana-5657	126	23	actuaries	actuary	NOUN
cana-5657	126	24	a	a	DET
cana-5657	126	25	valuable	valuable	ADJ
cana-5657	126	26	tool	tool	NOUN
cana-5657	126	27	for	for	ADP
cana-5657	126	28	decision	decision	NOUN
cana-5657	126	29	-	-	PUNCT
cana-5657	126	30	making	making	NOUN
cana-5657	126	31	in	in	ADP
cana-5657	126	32	pricing	pricing	NOUN
cana-5657	126	33	,	,	PUNCT
cana-5657	126	34	reserving	reserving	NOUN
cana-5657	126	35	,	,	PUNCT
cana-5657	126	36	and	and	CCONJ
cana-5657	126	37	risk	risk	NOUN
cana-5657	126	38	analysis	analysis	NOUN
cana-5657	126	39	.	.	PUNCT
cana-5657	127	1	in	in	ADP
cana-5657	127	2	contrast	contrast	NOUN
cana-5657	127	3	to	to	ADP
cana-5657	127	4	traditional	traditional	ADJ
cana-5657	127	5	models	model	NOUN
cana-5657	127	6	that	that	PRON
cana-5657	127	7	assume	assume	VERB
cana-5657	127	8	full	full	ADJ
cana-5657	127	9	data	datum	NOUN
cana-5657	127	10	integrity	integrity	NOUN
cana-5657	127	11	,	,	PUNCT
cana-5657	127	12	the	the	DET
cana-5657	127	13	𝑁𝐶𝐵	𝑁𝐶𝐵	NOUN
cana-5657	127	14	framework	framework	NOUN
cana-5657	127	15	explicitly	explicitly	ADV
cana-5657	127	16	recognizes	recognize	VERB
cana-5657	127	17	and	and	CCONJ
cana-5657	127	18	quantifies	quantify	VERB
cana-5657	127	19	uncertainty	uncertainty	NOUN
cana-5657	127	20	through	through	ADP
cana-5657	127	21	neutrosophic	neutrosophic	ADJ
cana-5657	127	22	memberships	membership	NOUN
cana-5657	127	23	and	and	CCONJ
cana-5657	127	24	credibility	credibility	NOUN
cana-5657	127	25	levels	level	NOUN
cana-5657	127	26	.	.	PUNCT
cana-5657	128	1	overall	overall	ADV
cana-5657	128	2	,	,	PUNCT
cana-5657	128	3	the	the	DET
cana-5657	128	4	results	result	NOUN
cana-5657	128	5	confirm	confirm	VERB
cana-5657	128	6	that	that	SCONJ
cana-5657	128	7	𝑁𝐶𝐵𝑠	𝑁𝐶𝐵𝑠	NOUN
cana-5657	128	8	are	be	AUX
cana-5657	128	9	not	not	PART
cana-5657	128	10	only	only	ADV
cana-5657	128	11	theoretically	theoretically	ADV
cana-5657	128	12	sound	sound	ADJ
cana-5657	128	13	but	but	CCONJ
cana-5657	128	14	also	also	ADV
cana-5657	128	15	practically	practically	ADV
cana-5657	128	16	useful	useful	ADJ
cana-5657	128	17	,	,	PUNCT
cana-5657	128	18	particularly	particularly	ADV
cana-5657	128	19	in	in	ADP
cana-5657	128	20	environments	environment	NOUN
cana-5657	128	21	where	where	SCONJ
cana-5657	128	22	classical	classical	ADJ
cana-5657	128	23	probabilistic	probabilistic	ADJ
cana-5657	128	24	models	model	NOUN
cana-5657	128	25	may	may	AUX
cana-5657	128	26	fall	fall	VERB
cana-5657	128	27	short	short	ADJ
cana-5657	128	28	.	.	PUNCT
cana-5657	129	1	communications	communication	NOUN
cana-5657	129	2	on	on	ADP
cana-5657	129	3	applied	apply	VERB
cana-5657	129	4	nonlinear	nonlinear	ADJ
cana-5657	129	5	analysis	analysis	NOUN
cana-5657	129	6	issn	issn	NOUN
cana-5657	129	7	:	:	PUNCT
cana-5657	129	8	1074	1074	NUM
cana-5657	129	9	-	-	PUNCT
cana-5657	129	10	133x	133x	NUM
cana-5657	129	11	vol	vol	VERB
cana-5657	129	12	32	32	NUM
cana-5657	129	13	no	no	NOUN
cana-5657	129	14	.	.	PUNCT
cana-5657	130	1	10s	10	NOUN
cana-5657	130	2	(	(	PUNCT
cana-5657	130	3	2025	2025	NUM
cana-5657	130	4	)	)	PUNCT
cana-5657	130	5	2644	2644	NUM
cana-5657	130	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5657	130	7	this	this	DET
cana-5657	130	8	approach	approach	NOUN
cana-5657	130	9	can	can	AUX
cana-5657	130	10	be	be	AUX
cana-5657	130	11	further	far	ADV
cana-5657	130	12	extended	extend	VERB
cana-5657	130	13	to	to	ADP
cana-5657	130	14	other	other	ADJ
cana-5657	130	15	domains	domain	NOUN
cana-5657	130	16	such	such	ADJ
cana-5657	130	17	as	as	ADP
cana-5657	130	18	financial	financial	ADJ
cana-5657	130	19	forecasting	forecasting	NOUN
cana-5657	130	20	,	,	PUNCT
cana-5657	130	21	medical	medical	ADJ
cana-5657	130	22	diagnosis	diagnosis	NOUN
cana-5657	130	23	,	,	PUNCT
cana-5657	130	24	and	and	CCONJ
cana-5657	130	25	engineering	engineering	NOUN
cana-5657	130	26	reliability	reliability	NOUN
cana-5657	130	27	,	,	PUNCT
cana-5657	130	28	where	where	SCONJ
cana-5657	130	29	uncertainty	uncertainty	NOUN
cana-5657	130	30	is	be	AUX
cana-5657	130	31	multifaceted	multifaceted	ADJ
cana-5657	130	32	and	and	CCONJ
cana-5657	130	33	data	datum	NOUN
cana-5657	130	34	quality	quality	NOUN
cana-5657	130	35	is	be	AUX
cana-5657	130	36	variable	variable	ADJ
cana-5657	130	37	.	.	PUNCT
cana-5657	131	1	•	•	NUM
cana-5657	131	2	extending	extend	VERB
cana-5657	131	3	𝑁𝐶𝐵𝑠	𝑁𝐶𝐵𝑠	NOUN
cana-5657	131	4	to	to	PART
cana-5657	131	5	multivariate	multivariate	VERB
cana-5657	131	6	and	and	CCONJ
cana-5657	131	7	time	time	NOUN
cana-5657	131	8	-	-	PUNCT
cana-5657	131	9	dependent	dependent	ADJ
cana-5657	131	10	xexponential	xexponential	ADJ
cana-5657	131	11	processes	process	NOUN
cana-5657	131	12	.	.	PUNCT
cana-5657	132	1	•	•	NUM
cana-5657	132	2	incorporating	incorporate	VERB
cana-5657	132	3	machine	machine	NOUN
cana-5657	132	4	learning	learning	NOUN
cana-5657	132	5	to	to	PART
cana-5657	132	6	estimate	estimate	VERB
cana-5657	132	7	neutrosophic	neutrosophic	ADJ
cana-5657	132	8	memberships	membership	NOUN
cana-5657	132	9	dynamically	dynamically	ADV
cana-5657	132	10	.	.	PUNCT
cana-5657	133	1	•	•	NOUN
cana-5657	133	2	comparing	compare	VERB
cana-5657	133	3	performance	performance	NOUN
cana-5657	133	4	against	against	ADP
cana-5657	133	5	robust	robust	ADJ
cana-5657	133	6	bayesian	bayesian	NOUN
cana-5657	133	7	models	model	NOUN
cana-5657	133	8	under	under	ADP
cana-5657	133	9	epistemic	epistemic	ADJ
cana-5657	133	10	uncertainty	uncertainty	NOUN
cana-5657	133	11	references	reference	NOUN
cana-5657	133	12	[	[	X
cana-5657	133	13	1	1	NUM
cana-5657	133	14	]	]	X
cana-5657	133	15	benatallah	benatallah	ADJ
cana-5657	133	16	,	,	PUNCT
cana-5657	133	17	i.	i.	PROPN
cana-5657	133	18	n.	n.	PROPN
cana-5657	133	19	,	,	PUNCT
cana-5657	133	20	talhi	talhi	PROPN
cana-5657	133	21	,	,	PUNCT
cana-5657	133	22	h.	h.	PROPN
cana-5657	133	23	,	,	PUNCT
cana-5657	133	24	saaidia	saaidia	VERB
cana-5657	133	25	,	,	PUNCT
cana-5657	133	26	n.	n.	NOUN
cana-5657	133	27	,	,	PUNCT
cana-5657	133	28	&	&	CCONJ
cana-5657	133	29	zeghdoudi	zeghdoudi	NOUN
cana-5657	133	30	,	,	PUNCT
cana-5657	133	31	h.	h.	PROPN
cana-5657	133	32	(	(	PUNCT
cana-5657	133	33	2025	2025	NUM
cana-5657	133	34	)	)	PUNCT
cana-5657	133	35	.	.	PUNCT
cana-5657	134	1	on	on	ADP
cana-5657	134	2	xexponential	xexponential	ADJ
cana-5657	134	3	distribution	distribution	NOUN
cana-5657	134	4	:	:	PUNCT
cana-5657	134	5	properties	property	NOUN
cana-5657	134	6	,	,	PUNCT
cana-5657	134	7	bayesian	bayesian	NOUN
cana-5657	134	8	estimation	estimation	NOUN
cana-5657	134	9	,	,	PUNCT
cana-5657	134	10	goodness	goodness	NOUN
cana-5657	134	11	-	-	PUNCT
cana-5657	134	12	of	of	ADP
cana-5657	134	13	-	-	PUNCT
cana-5657	134	14	fit	fit	NOUN
cana-5657	134	15	test	test	NOUN
cana-5657	134	16	and	and	CCONJ
cana-5657	134	17	application	application	NOUN
cana-5657	134	18	.	.	PUNCT
cana-5657	135	1	studies	study	NOUN
cana-5657	135	2	in	in	ADP
cana-5657	135	3	science	science	NOUN
cana-5657	135	4	of	of	ADP
cana-5657	135	5	science	science	NOUN
cana-5657	135	6	,	,	PUNCT
cana-5657	135	7	43(3	43(3	NUM
cana-5657	135	8	)	)	PUNCT
cana-5657	135	9	,	,	PUNCT
cana-5657	135	10	42–63	42–63	NUM
cana-5657	135	11	.	.	PUNCT
cana-5657	136	1	issn	issn	PROPN
cana-5657	136	2	:	:	PUNCT
cana-5657	136	3	1003	1003	NUM
cana-5657	136	4	-	-	SYM
cana-5657	136	5	2053	2053	NUM
cana-5657	136	6	.	.	PUNCT
cana-5657	137	1	[	[	X
cana-5657	137	2	2	2	NUM
cana-5657	137	3	]	]	X
cana-5657	137	4	gupta	gupta	PROPN
cana-5657	137	5	,	,	PUNCT
cana-5657	137	6	r.	r.	PROPN
cana-5657	137	7	d.	d.	PROPN
cana-5657	137	8	,	,	PUNCT
cana-5657	137	9	&	&	CCONJ
cana-5657	137	10	kundu	kundu	PROPN
cana-5657	137	11	,	,	PUNCT
cana-5657	137	12	d.	d.	PROPN
cana-5657	137	13	(	(	PUNCT
cana-5657	137	14	2014	2014	NUM
cana-5657	137	15	)	)	PUNCT
cana-5657	137	16	.	.	PUNCT
cana-5657	138	1	a	a	DET
cana-5657	138	2	new	new	ADJ
cana-5657	138	3	class	class	NOUN
cana-5657	138	4	of	of	ADP
cana-5657	138	5	exponential	exponential	ADJ
cana-5657	138	6	distribution	distribution	NOUN
cana-5657	138	7	.	.	PUNCT
cana-5657	139	1	statistical	statistical	ADJ
cana-5657	139	2	papers	paper	NOUN
cana-5657	139	3	,	,	PUNCT
cana-5657	139	4	55(1	55(1	NOUN
cana-5657	139	5	)	)	PUNCT
cana-5657	139	6	,	,	PUNCT
cana-5657	139	7	79–93	79–93	X
cana-5657	139	8	.	.	PUNCT
cana-5657	140	1	[	[	X
cana-5657	140	2	3	3	X
cana-5657	140	3	]	]	X
cana-5657	140	4	smarandache	smarandache	NOUN
cana-5657	140	5	,	,	PUNCT
cana-5657	140	6	f.	f.	PROPN
cana-5657	140	7	(	(	PUNCT
cana-5657	140	8	2005	2005	NUM
cana-5657	140	9	)	)	PUNCT
cana-5657	140	10	.	.	PUNCT
cana-5657	141	1	introduction	introduction	NOUN
cana-5657	141	2	to	to	ADP
cana-5657	141	3	neutrosophic	neutrosophic	ADJ
cana-5657	141	4	measure	measure	NOUN
cana-5657	141	5	,	,	PUNCT
cana-5657	141	6	neutrosophic	neutrosophic	ADJ
cana-5657	141	7	integral	integral	ADJ
cana-5657	141	8	and	and	CCONJ
cana-5657	141	9	neutrosophic	neutrosophic	ADJ
cana-5657	141	10	probability	probability	NOUN
cana-5657	141	11	.	.	PUNCT
cana-5657	142	1	american	american	ADJ
cana-5657	142	2	research	research	PROPN
cana-5657	142	3	press	press	NOUN
cana-5657	142	4	.	.	PUNCT
cana-5657	143	1	[	[	X
cana-5657	143	2	4	4	NUM
cana-5657	143	3	]	]	X
cana-5657	143	4	liu	liu	PROPN
cana-5657	143	5	,	,	PUNCT
cana-5657	143	6	b.	b.	PROPN
cana-5657	143	7	(	(	PUNCT
cana-5657	143	8	2004	2004	NUM
cana-5657	143	9	)	)	PUNCT
cana-5657	143	10	.	.	PUNCT
cana-5657	144	1	uncertainty	uncertainty	NOUN
cana-5657	144	2	theory	theory	NOUN
cana-5657	144	3	:	:	PUNCT
cana-5657	144	4	an	an	DET
cana-5657	144	5	introduction	introduction	NOUN
cana-5657	144	6	to	to	ADP
cana-5657	144	7	its	its	PRON
cana-5657	144	8	axiomatic	axiomatic	ADJ
cana-5657	144	9	foundations	foundation	NOUN
cana-5657	144	10	.	.	PUNCT
cana-5657	145	1	springer	springer	NOUN
cana-5657	145	2	.	.	PUNCT
cana-5657	146	1	[	[	X
cana-5657	146	2	5	5	NUM
cana-5657	146	3	]	]	X
cana-5657	146	4	smarandache	smarandache	NOUN
cana-5657	146	5	,	,	PUNCT
cana-5657	146	6	f.	f.	PROPN
cana-5657	146	7	(	(	PUNCT
cana-5657	146	8	2005	2005	NUM
cana-5657	146	9	)	)	PUNCT
cana-5657	146	10	.	.	PUNCT
cana-5657	147	1	introduction	introduction	NOUN
cana-5657	147	2	to	to	ADP
cana-5657	147	3	neutrosophic	neutrosophic	ADJ
cana-5657	147	4	measure	measure	NOUN
cana-5657	147	5	,	,	PUNCT
cana-5657	147	6	neutrosophic	neutrosophic	ADJ
cana-5657	147	7	integral	integral	ADJ
cana-5657	147	8	and	and	CCONJ
cana-5657	147	9	neutrosophic	neutrosophic	ADJ
cana-5657	147	10	probability	probability	NOUN
cana-5657	147	11	.	.	PUNCT
cana-5657	148	1	american	american	ADJ
cana-5657	148	2	research	research	PROPN
cana-5657	148	3	press	press	NOUN
cana-5657	148	4	.	.	PUNCT
cana-5657	149	1	[	[	X
cana-5657	149	2	6	6	NUM
cana-5657	149	3	]	]	X
cana-5657	149	4	liu	liu	PROPN
cana-5657	149	5	,	,	PUNCT
cana-5657	149	6	b.	b.	PROPN
cana-5657	149	7	(	(	PUNCT
cana-5657	149	8	2004	2004	NUM
cana-5657	149	9	)	)	PUNCT
cana-5657	149	10	.	.	PUNCT
cana-5657	150	1	uncertainty	uncertainty	NOUN
cana-5657	150	2	theory	theory	NOUN
cana-5657	150	3	.	.	PUNCT
cana-5657	151	1	springer	springer	NOUN
cana-5657	151	2	.	.	PUNCT
cana-5657	152	1	[	[	X
cana-5657	152	2	7	7	NUM
cana-5657	152	3	]	]	X
cana-5657	152	4	nedjar	nedjar	NOUN
cana-5657	152	5	,	,	PUNCT
cana-5657	152	6	s.	s.	PROPN
cana-5657	152	7	,	,	PUNCT
cana-5657	152	8	&	&	CCONJ
cana-5657	152	9	zeghdoudi	zeghdoudi	PROPN
cana-5657	152	10	,	,	PUNCT
cana-5657	152	11	h.	h.	PROPN
cana-5657	152	12	(	(	PUNCT
cana-5657	152	13	2016	2016	NUM
cana-5657	152	14	)	)	PUNCT
cana-5657	152	15	.	.	PUNCT
cana-5657	153	1	on	on	ADP
cana-5657	153	2	gamma	gamma	PROPN
cana-5657	153	3	lindley	lindley	PROPN
cana-5657	153	4	distribution	distribution	NOUN
cana-5657	153	5	:	:	PUNCT
cana-5657	153	6	properties	property	NOUN
cana-5657	153	7	and	and	CCONJ
cana-5657	153	8	simulations	simulation	NOUN
cana-5657	153	9	.	.	PUNCT
cana-5657	154	1	journal	journal	NOUN
cana-5657	154	2	of	of	ADP
cana-5657	154	3	computational	computational	ADJ
cana-5657	154	4	and	and	CCONJ
cana-5657	154	5	applied	applied	ADJ
cana-5657	154	6	mathematics	mathematic	NOUN
cana-5657	154	7	,	,	PUNCT
cana-5657	154	8	298	298	NUM
cana-5657	154	9	,	,	PUNCT
cana-5657	154	10	167–174	167–174	NUM
cana-5657	154	11	.	.	PUNCT
cana-5657	155	1	[	[	X
cana-5657	155	2	8	8	NUM
cana-5657	155	3	]	]	X
cana-5657	155	4	zeghdoudi	zeghdoudi	NOUN
cana-5657	155	5	,	,	PUNCT
cana-5657	155	6	h.	h.	PROPN
cana-5657	155	7	,	,	PUNCT
cana-5657	155	8	&	&	CCONJ
cana-5657	155	9	nedjar	nedjar	PROPN
cana-5657	155	10	,	,	PUNCT
cana-5657	155	11	s.	s.	PROPN
cana-5657	155	12	(	(	PUNCT
cana-5657	155	13	2016	2016	NUM
cana-5657	155	14	)	)	PUNCT
cana-5657	155	15	.	.	PUNCT
cana-5657	156	1	a	a	DET
cana-5657	156	2	pseudo	pseudo	NOUN
cana-5657	156	3	lindley	lindley	NOUN
cana-5657	156	4	distribution	distribution	NOUN
cana-5657	156	5	and	and	CCONJ
cana-5657	156	6	its	its	PRON
cana-5657	156	7	application	application	NOUN
cana-5657	156	8	.	.	PUNCT
cana-5657	157	1	afrika	afrika	PROPN
cana-5657	157	2	statistika	statistika	PROPN
cana-5657	157	3	,	,	PUNCT
cana-5657	157	4	11(1	11(1	NUM
cana-5657	157	5	)	)	PUNCT
cana-5657	157	6	,	,	PUNCT
cana-5657	157	7	923–932	923–932	NUM
cana-5657	157	8	.	.	PUNCT
cana-5657	158	1	[	[	X
cana-5657	158	2	9	9	NUM
cana-5657	158	3	]	]	PUNCT
cana-5657	158	4	nedjar	nedjar	NOUN
cana-5657	158	5	,	,	PUNCT
cana-5657	158	6	s.	s.	PROPN
cana-5657	158	7	,	,	PUNCT
cana-5657	158	8	&	&	CCONJ
cana-5657	158	9	zeghdoudi	zeghdoudi	PROPN
cana-5657	158	10	,	,	PUNCT
cana-5657	158	11	h.	h.	PROPN
cana-5657	158	12	(	(	PUNCT
cana-5657	158	13	2017	2017	NUM
cana-5657	158	14	)	)	PUNCT
cana-5657	158	15	.	.	PUNCT
cana-5657	159	1	on	on	ADP
cana-5657	159	2	pseudo	pseudo	NOUN
cana-5657	159	3	lindley	lindley	NOUN
cana-5657	159	4	distribution	distribution	NOUN
cana-5657	159	5	:	:	PUNCT
cana-5657	159	6	properties	property	NOUN
cana-5657	159	7	and	and	CCONJ
cana-5657	159	8	applications	application	NOUN
cana-5657	159	9	.	.	PUNCT
cana-5657	160	1	new	new	ADJ
cana-5657	160	2	trends	trend	NOUN
cana-5657	160	3	in	in	ADP
cana-5657	160	4	mathematical	mathematical	ADJ
cana-5657	160	5	sciences	science	NOUN
cana-5657	160	6	,	,	PUNCT
cana-5657	160	7	5(1	5(1	NUM
cana-5657	160	8	)	)	PUNCT
cana-5657	160	9	,	,	PUNCT
cana-5657	160	10	59–65	59–65	NUM
cana-5657	160	11	.	.	PUNCT
cana-5657	161	1	[	[	X
cana-5657	161	2	10	10	NUM
cana-5657	161	3	]	]	X
cana-5657	161	4	beghriche	beghriche	NOUN
cana-5657	161	5	,	,	PUNCT
cana-5657	161	6	a.	a.	PROPN
cana-5657	161	7	,	,	PUNCT
cana-5657	161	8	&	&	CCONJ
cana-5657	161	9	zeghdoudi	zeghdoudi	PROPN
cana-5657	161	10	,	,	PUNCT
cana-5657	161	11	h.	h.	PROPN
cana-5657	161	12	(	(	PUNCT
cana-5657	161	13	2019	2019	NUM
cana-5657	161	14	)	)	PUNCT
cana-5657	161	15	.	.	PUNCT
cana-5657	162	1	a	a	DET
cana-5657	162	2	size	size	NOUN
cana-5657	162	3	biased	bias	VERB
cana-5657	162	4	gamma	gamma	NOUN
cana-5657	162	5	lindley	lindley	NOUN
cana-5657	162	6	distribution	distribution	NOUN
cana-5657	162	7	.	.	PUNCT
cana-5657	163	1	thailand	thailand	PROPN
cana-5657	163	2	statistician	statistician	PROPN
cana-5657	163	3	,	,	PUNCT
cana-5657	163	4	17(2	17(2	NUM
cana-5657	163	5	)	)	PUNCT
cana-5657	163	6	,	,	PUNCT
cana-5657	163	7	179–189	179–189	NUM
cana-5657	163	8	.	.	PUNCT
cana-5657	164	1	[	[	X
cana-5657	164	2	11	11	NUM
cana-5657	164	3	]	]	PUNCT
cana-5657	164	4	chouia	chouia	NOUN
cana-5657	164	5	,	,	PUNCT
cana-5657	164	6	s.	s.	PROPN
cana-5657	164	7	,	,	PUNCT
cana-5657	164	8	&	&	CCONJ
cana-5657	164	9	zeghdoudi	zeghdoudi	PROPN
cana-5657	164	10	,	,	PUNCT
cana-5657	164	11	h.	h.	PROPN
cana-5657	164	12	(	(	PUNCT
cana-5657	164	13	2021	2021	NUM
cana-5657	164	14	)	)	PUNCT
cana-5657	164	15	.	.	PUNCT
cana-5657	165	1	the	the	DET
cana-5657	165	2	xlindley	xlindley	ADJ
cana-5657	165	3	distribution	distribution	NOUN
cana-5657	165	4	:	:	PUNCT
cana-5657	165	5	properties	property	NOUN
cana-5657	165	6	and	and	CCONJ
cana-5657	165	7	application	application	NOUN
cana-5657	165	8	.	.	PUNCT
cana-5657	166	1	journal	journal	NOUN
cana-5657	166	2	of	of	ADP
cana-5657	166	3	statistical	statistical	ADJ
cana-5657	166	4	theory	theory	NOUN
cana-5657	166	5	and	and	CCONJ
cana-5657	166	6	applications	application	NOUN
cana-5657	166	7	,	,	PUNCT
cana-5657	166	8	20(2	20(2	NUM
cana-5657	166	9	)	)	PUNCT
cana-5657	166	10	,	,	PUNCT
cana-5657	166	11	318–327	318–327	NUM
cana-5657	166	12	.	.	PUNCT
cana-5657	167	1	[	[	X
cana-5657	167	2	12	12	NUM
cana-5657	167	3	]	]	X
cana-5657	167	4	beghriche	beghriche	NOUN
cana-5657	167	5	,	,	PUNCT
cana-5657	167	6	a.	a.	NOUN
cana-5657	167	7	,	,	PUNCT
cana-5657	167	8	tashkandy	tashkandy	NOUN
cana-5657	167	9	,	,	PUNCT
cana-5657	167	10	y.	y.	PROPN
cana-5657	167	11	a.	a.	PROPN
cana-5657	167	12	,	,	PUNCT
cana-5657	167	13	bakr	bakr	PROPN
cana-5657	167	14	,	,	PUNCT
cana-5657	167	15	m.	m.	PROPN
cana-5657	167	16	e.	e.	PROPN
cana-5657	167	17	,	,	PUNCT
cana-5657	167	18	zeghdoudi	zeghdoudi	PROPN
cana-5657	167	19	,	,	PUNCT
cana-5657	167	20	h.	h.	PROPN
cana-5657	167	21	,	,	PUNCT
cana-5657	167	22	gemeay	gemeay	ADJ
cana-5657	167	23	,	,	PUNCT
cana-5657	167	24	a.	a.	NOUN
cana-5657	167	25	m.	m.	NOUN
cana-5657	167	26	,	,	PUNCT
cana-5657	167	27	hossain	hossain	PROPN
cana-5657	167	28	,	,	PUNCT
cana-5657	167	29	m.	m.	NOUN
cana-5657	167	30	m.	m.	NOUN
cana-5657	167	31	,	,	PUNCT
cana-5657	167	32	&	&	CCONJ
cana-5657	167	33	muse	muse	PROPN
cana-5657	167	34	,	,	PUNCT
cana-5657	167	35	a.	a.	PROPN
cana-5657	167	36	h.	h.	PROPN
cana-5657	167	37	(	(	PUNCT
cana-5657	167	38	2023	2023	NUM
cana-5657	167	39	)	)	PUNCT
cana-5657	167	40	.	.	PUNCT
cana-5657	168	1	the	the	DET
cana-5657	168	2	inverse	inverse	NOUN
cana-5657	168	3	xlindley	xlindley	ADJ
cana-5657	168	4	distribution	distribution	NOUN
cana-5657	168	5	:	:	PUNCT
cana-5657	168	6	properties	property	NOUN
cana-5657	168	7	and	and	CCONJ
cana-5657	168	8	application	application	NOUN
cana-5657	168	9	.	.	PUNCT
cana-5657	169	1	ieee	ieee	NOUN
cana-5657	169	2	access	access	NOUN
cana-5657	169	3	,	,	PUNCT
cana-5657	169	4	11	11	NUM
cana-5657	169	5	,	,	PUNCT
cana-5657	169	6	47272–47281	47272–47281	NUM
cana-5657	169	7	.	.	PUNCT
cana-5657	170	1	[	[	X
cana-5657	170	2	13	13	NUM
cana-5657	170	3	]	]	X
cana-5657	170	4	messaadia	messaadia	PROPN
cana-5657	170	5	,	,	PUNCT
cana-5657	170	6	h.	h.	PROPN
cana-5657	170	7	,	,	PUNCT
cana-5657	170	8	&	&	CCONJ
cana-5657	170	9	zeghdoudi	zeghdoudi	PROPN
cana-5657	170	10	,	,	PUNCT
cana-5657	170	11	h.	h.	PROPN
cana-5657	170	12	(	(	PUNCT
cana-5657	170	13	2018	2018	NUM
cana-5657	170	14	)	)	PUNCT
cana-5657	170	15	.	.	PUNCT
cana-5657	171	1	zeghdoudi	zeghdoudi	NOUN
cana-5657	171	2	distribution	distribution	NOUN
cana-5657	171	3	and	and	CCONJ
cana-5657	171	4	its	its	PRON
cana-5657	171	5	applications	application	NOUN
cana-5657	171	6	.	.	PUNCT
cana-5657	172	1	international	international	ADJ
cana-5657	172	2	journal	journal	PROPN
cana-5657	172	3	of	of	ADP
cana-5657	172	4	computing	compute	VERB
cana-5657	172	5	science	science	NOUN
cana-5657	172	6	and	and	CCONJ
cana-5657	172	7	mathematics	mathematic	NOUN
cana-5657	172	8	,	,	PUNCT
cana-5657	172	9	9(1	9(1	NUM
cana-5657	172	10	)	)	PUNCT
cana-5657	172	11	,	,	PUNCT
cana-5657	172	12	58–65	58–65	NUM
cana-5657	172	13	.	.	PUNCT
cana-5657	173	1	[	[	X
cana-5657	173	2	14	14	NUM
cana-5657	173	3	]	]	X
cana-5657	173	4	khodja	khodja	PROPN
cana-5657	173	5	,	,	PUNCT
cana-5657	173	6	n.	n.	NOUN
cana-5657	173	7	,	,	PUNCT
cana-5657	173	8	gemeay	gemeay	ADJ
cana-5657	173	9	,	,	PUNCT
cana-5657	173	10	a.	a.	NOUN
cana-5657	173	11	m.	m.	NOUN
cana-5657	173	12	,	,	PUNCT
cana-5657	173	13	zeghdoudi	zeghdoudi	NOUN
cana-5657	173	14	,	,	PUNCT
cana-5657	173	15	h.	h.	PROPN
cana-5657	173	16	,	,	PUNCT
cana-5657	173	17	karakaya	karakaya	PROPN
cana-5657	173	18	,	,	PUNCT
cana-5657	173	19	k.	k.	PROPN
cana-5657	173	20	,	,	PUNCT
cana-5657	173	21	alshangiti	alshangiti	PROPN
cana-5657	173	22	,	,	PUNCT
cana-5657	173	23	a.	a.	NOUN
cana-5657	173	24	m.	m.	NOUN
cana-5657	173	25	,	,	PUNCT
cana-5657	173	26	bakr	bakr	PROPN
cana-5657	173	27	,	,	PUNCT
cana-5657	173	28	m.	m.	PROPN
cana-5657	173	29	e.	e.	PROPN
cana-5657	173	30	,	,	PUNCT
cana-5657	173	31	...	...	PUNCT
cana-5657	173	32	&	&	CCONJ
cana-5657	173	33	hussam	hussam	PROPN
cana-5657	173	34	,	,	PUNCT
cana-5657	173	35	e.	e.	PROPN
cana-5657	173	36	(	(	PUNCT
cana-5657	173	37	2023	2023	NUM
cana-5657	173	38	)	)	PUNCT
cana-5657	173	39	.	.	PUNCT
cana-5657	174	1	modeling	model	VERB
cana-5657	174	2	voltage	voltage	NOUN
cana-5657	174	3	real	real	ADJ
cana-5657	174	4	data	datum	NOUN
cana-5657	174	5	set	set	VERB
cana-5657	174	6	by	by	ADP
cana-5657	174	7	a	a	DET
cana-5657	174	8	new	new	ADJ
cana-5657	174	9	version	version	NOUN
cana-5657	174	10	of	of	ADP
cana-5657	174	11	lindley	lindley	NOUN
cana-5657	174	12	distribution	distribution	NOUN
cana-5657	174	13	.	.	PUNCT
cana-5657	175	1	ieee	ieee	NOUN
cana-5657	175	2	access	access	NOUN
cana-5657	175	3	,	,	PUNCT
cana-5657	175	4	11	11	NUM
cana-5657	175	5	,	,	PUNCT
cana-5657	175	6	67220–67229	67220–67229	NUM
cana-5657	175	7	.	.	PUNCT
cana-5657	176	1	[	[	X
cana-5657	176	2	15	15	NUM
cana-5657	176	3	]	]	X
cana-5657	176	4	lledó	lledó	PROPN
cana-5657	176	5	,	,	PUNCT
cana-5657	176	6	a.	a.	NOUN
cana-5657	176	7	,	,	PUNCT
cana-5657	176	8	&	&	CCONJ
cana-5657	176	9	pavía	pavía	ADJ
cana-5657	176	10	,	,	PUNCT
cana-5657	176	11	j.	j.	PROPN
cana-5657	176	12	m.	m.	PROPN
cana-5657	176	13	(	(	PUNCT
cana-5657	176	14	2005	2005	NUM
cana-5657	176	15	)	)	PUNCT
cana-5657	176	16	.	.	PUNCT
cana-5657	177	1	estimating	estimate	VERB
cana-5657	177	2	the	the	DET
cana-5657	177	3	premium	premium	NOUN
cana-5657	177	4	of	of	ADP
cana-5657	177	5	automobile	automobile	NOUN
cana-5657	177	6	insurance	insurance	NOUN
cana-5657	177	7	policies	policy	NOUN
cana-5657	177	8	:	:	PUNCT
cana-5657	177	9	credibility	credibility	NOUN
cana-5657	177	10	versus	versus	ADP
cana-5657	177	11	regression	regression	NOUN
cana-5657	177	12	techniques	technique	NOUN
cana-5657	177	13	.	.	PUNCT
cana-5657	178	1	insurance	insurance	NOUN
cana-5657	178	2	:	:	PUNCT
cana-5657	178	3	mathematics	mathematic	NOUN
cana-5657	178	4	and	and	CCONJ
cana-5657	178	5	economics	economic	NOUN
cana-5657	178	6	,	,	PUNCT
cana-5657	178	7	37(3	37(3	NUM
cana-5657	178	8	)	)	PUNCT
cana-5657	178	9	,	,	PUNCT
cana-5657	178	10	475–498	475–498	NUM
cana-5657	178	11	.	.	PUNCT
cana-5657	179	1	https://doi.org/10.1016/j.insmatheco.2005.05.004	https://doi.org/10.1016/j.insmatheco.2005.05.004	X