id	sid	tid	token	lemma	pos
ijassa-727	1	1	adv	adv	PROPN
ijassa-727	1	2	syst	syst	PROPN
ijassa-727	1	3	sci	sci	PROPN
ijassa-727	1	4	appl	appl	PROPN
ijassa-727	1	5	2019	2019	NUM
ijassa-727	1	6	;	;	PUNCT
ijassa-727	1	7	02	02	NUM
ijassa-727	1	8	;	;	PUNCT
ijassa-727	1	9	8	8	NUM
ijassa-727	1	10	-	-	SYM
ijassa-727	1	11	22	22	NUM
ijassa-727	1	12	published	publish	VERB
ijassa-727	1	13	online	online	ADV
ijassa-727	1	14	at	at	ADP
ijassa-727	1	15	http://ijassa.ipu.ru/index.php/ijassa/article/view/727	http://ijassa.ipu.ru/index.php/ijassa/article/view/727	PROPN
ijassa-727	1	16	models	model	NOUN
ijassa-727	1	17	of	of	ADP
ijassa-727	1	18	uncertain	uncertain	ADJ
ijassa-727	1	19	-	-	PUNCT
ijassa-727	1	20	random	random	ADJ
ijassa-727	1	21	programming	programming	NOUN
ijassa-727	1	22	georgy	georgy	X
ijassa-727	1	23	veresnikov1	veresnikov1	PROPN
ijassa-727	1	24	*	*	PROPN
ijassa-727	1	25	,	,	PUNCT
ijassa-727	1	26	ludmila	ludmila	PROPN
ijassa-727	1	27	pankova1	pankova1	PROPN
ijassa-727	1	28	,	,	PUNCT
ijassa-727	1	29	valeriya	valeriya	NOUN
ijassa-727	1	30	pronina1	pronina1	NOUN
ijassa-727	1	31	1	1	X
ijassa-727	1	32	)	)	PUNCT
ijassa-727	1	33	v.a	v.a	PROPN
ijassa-727	1	34	.	.	PROPN
ijassa-727	1	35	trapeznikov	trapeznikov	PROPN
ijassa-727	1	36	institute	institute	PROPN
ijassa-727	1	37	of	of	ADP
ijassa-727	1	38	control	control	PROPN
ijassa-727	1	39	sciences	sciences	PROPN
ijassa-727	1	40	of	of	ADP
ijassa-727	1	41	russian	russian	ADJ
ijassa-727	1	42	academy	academy	PROPN
ijassa-727	1	43	of	of	ADP
ijassa-727	1	44	scienses	sciense	NOUN
ijassa-727	1	45	moscow	moscow	PROPN
ijassa-727	1	46	,	,	PUNCT
ijassa-727	1	47	russian	russian	ADJ
ijassa-727	1	48	e	e	NOUN
ijassa-727	1	49	-	-	NOUN
ijassa-727	1	50	mail	mail	NOUN
ijassa-727	1	51	:	:	PUNCT
ijassa-727	1	52	veresnikov@mail.ru	veresnikov@mail.ru	SCONJ
ijassa-727	1	53	received	receive	VERB
ijassa-727	1	54	february	february	PROPN
ijassa-727	1	55	12	12	NUM
ijassa-727	1	56	,	,	PUNCT
ijassa-727	1	57	2018	2018	NUM
ijassa-727	1	58	;	;	PUNCT
ijassa-727	1	59	revised	revise	VERB
ijassa-727	1	60	december	december	PROPN
ijassa-727	1	61	9	9	NUM
ijassa-727	1	62	,	,	PUNCT
ijassa-727	1	63	2018	2018	NUM
ijassa-727	1	64	;	;	PUNCT
ijassa-727	1	65	published	publish	VERB
ijassa-727	1	66	december	december	PROPN
ijassa-727	1	67	31	31	NUM
ijassa-727	1	68	,	,	PUNCT
ijassa-727	1	69	2018	2018	NUM
ijassa-727	1	70	abstract	abstract	NOUN
ijassa-727	1	71	:	:	PUNCT
ijassa-727	1	72	the	the	DET
ijassa-727	1	73	article	article	NOUN
ijassa-727	1	74	proposes	propose	VERB
ijassa-727	1	75	the	the	DET
ijassa-727	1	76	models	model	NOUN
ijassa-727	1	77	of	of	ADP
ijassa-727	1	78	optimization	optimization	NOUN
ijassa-727	1	79	with	with	ADP
ijassa-727	1	80	constraints	constraint	NOUN
ijassa-727	1	81	under	under	ADP
ijassa-727	1	82	conditions	condition	NOUN
ijassa-727	1	83	of	of	ADP
ijassa-727	1	84	parametric	parametric	ADJ
ijassa-727	1	85	mixed	mixed	ADJ
ijassa-727	1	86	uncertainty	uncertainty	NOUN
ijassa-727	1	87	‒	‒	ADP
ijassa-727	1	88	aleatory	aleatory	ADJ
ijassa-727	1	89	and	and	CCONJ
ijassa-727	1	90	epistemic	epistemic	ADJ
ijassa-727	1	91	.	.	PUNCT
ijassa-727	2	1	we	we	PRON
ijassa-727	2	2	model	model	VERB
ijassa-727	2	3	parameters	parameter	NOUN
ijassa-727	2	4	with	with	ADP
ijassa-727	2	5	aleatory	aleatory	ADJ
ijassa-727	2	6	uncertainty	uncertainty	NOUN
ijassa-727	2	7	by	by	ADP
ijassa-727	2	8	random	random	ADJ
ijassa-727	2	9	values	value	NOUN
ijassa-727	2	10	with	with	ADP
ijassa-727	2	11	probability	probability	NOUN
ijassa-727	2	12	distribution	distribution	NOUN
ijassa-727	2	13	functions	function	NOUN
ijassa-727	2	14	obtained	obtain	VERB
ijassa-727	2	15	from	from	ADP
ijassa-727	2	16	statistical	statistical	ADJ
ijassa-727	2	17	data	datum	NOUN
ijassa-727	2	18	.	.	PUNCT
ijassa-727	3	1	we	we	PRON
ijassa-727	3	2	model	model	VERB
ijassa-727	3	3	parameters	parameter	NOUN
ijassa-727	3	4	with	with	ADP
ijassa-727	3	5	epistemic	epistemic	ADJ
ijassa-727	3	6	uncertainty	uncertainty	NOUN
ijassa-727	3	7	by	by	ADP
ijassa-727	3	8	uncertain	uncertain	ADJ
ijassa-727	3	9	values	value	NOUN
ijassa-727	3	10	introduced	introduce	VERB
ijassa-727	3	11	in	in	ADP
ijassa-727	3	12	the	the	DET
ijassa-727	3	13	uncertainty	uncertainty	NOUN
ijassa-727	3	14	theory	theory	NOUN
ijassa-727	3	15	of	of	ADP
ijassa-727	3	16	liu	liu	PROPN
ijassa-727	3	17	b.	b.	PROPN
ijassa-727	3	18	experts	expert	NOUN
ijassa-727	3	19	define	define	VERB
ijassa-727	3	20	the	the	DET
ijassa-727	3	21	uncertainty	uncertainty	NOUN
ijassa-727	3	22	distribution	distribution	NOUN
ijassa-727	3	23	functions	function	NOUN
ijassa-727	3	24	.	.	PUNCT
ijassa-727	4	1	we	we	PRON
ijassa-727	4	2	model	model	VERB
ijassa-727	4	3	a	a	DET
ijassa-727	4	4	function	function	NOUN
ijassa-727	4	5	of	of	ADP
ijassa-727	4	6	random	random	ADJ
ijassa-727	4	7	and	and	CCONJ
ijassa-727	4	8	uncertain	uncertain	ADJ
ijassa-727	4	9	parameters	parameter	NOUN
ijassa-727	4	10	by	by	ADP
ijassa-727	4	11	uncertain	uncertain	ADJ
ijassa-727	4	12	-	-	PUNCT
ijassa-727	4	13	random	random	ADJ
ijassa-727	4	14	value	value	NOUN
ijassa-727	4	15	,	,	PUNCT
ijassa-727	4	16	interpreted	interpret	VERB
ijassa-727	4	17	as	as	ADP
ijassa-727	4	18	epistemic	epistemic	ADJ
ijassa-727	4	19	value	value	NOUN
ijassa-727	4	20	parameterized	parameterize	VERB
ijassa-727	4	21	by	by	ADP
ijassa-727	4	22	random	random	ADJ
ijassa-727	4	23	values	value	NOUN
ijassa-727	4	24	.	.	PUNCT
ijassa-727	5	1	optimization	optimization	NOUN
ijassa-727	5	2	criteria	criterion	NOUN
ijassa-727	5	3	(	(	PUNCT
ijassa-727	5	4	deterministic	deterministic	ADJ
ijassa-727	5	5	duplicates	duplicate	NOUN
ijassa-727	5	6	of	of	ADP
ijassa-727	5	7	objective	objective	ADJ
ijassa-727	5	8	functions	function	NOUN
ijassa-727	5	9	)	)	PUNCT
ijassa-727	5	10	are	be	AUX
ijassa-727	5	11	combination	combination	NOUN
ijassa-727	5	12	of	of	ADP
ijassa-727	5	13	different	different	ADJ
ijassa-727	5	14	characteristics	characteristic	NOUN
ijassa-727	5	15	of	of	ADP
ijassa-727	5	16	random	random	ADJ
ijassa-727	5	17	and	and	CCONJ
ijassa-727	5	18	uncertain	uncertain	ADJ
ijassa-727	5	19	values	value	NOUN
ijassa-727	5	20	,	,	PUNCT
ijassa-727	5	21	which	which	PRON
ijassa-727	5	22	allows	allow	VERB
ijassa-727	5	23	both	both	PRON
ijassa-727	5	24	to	to	PART
ijassa-727	5	25	average	average	VERB
ijassa-727	5	26	objective	objective	ADJ
ijassa-727	5	27	functions	function	NOUN
ijassa-727	5	28	and	and	CCONJ
ijassa-727	5	29	to	to	PART
ijassa-727	5	30	take	take	VERB
ijassa-727	5	31	into	into	ADP
ijassa-727	5	32	account	account	NOUN
ijassa-727	5	33	risks	risk	NOUN
ijassa-727	5	34	or	or	CCONJ
ijassa-727	5	35	reliability	reliability	NOUN
ijassa-727	5	36	arising	arise	VERB
ijassa-727	5	37	from	from	ADP
ijassa-727	5	38	the	the	DET
ijassa-727	5	39	variability	variability	NOUN
ijassa-727	5	40	of	of	ADP
ijassa-727	5	41	random	random	ADJ
ijassa-727	5	42	and	and	CCONJ
ijassa-727	5	43	uncertain	uncertain	ADJ
ijassa-727	5	44	values	value	NOUN
ijassa-727	5	45	.	.	PUNCT
ijassa-727	6	1	using	use	VERB
ijassa-727	6	2	the	the	DET
ijassa-727	6	3	proposed	propose	VERB
ijassa-727	6	4	models	model	NOUN
ijassa-727	6	5	of	of	ADP
ijassa-727	6	6	uncertain	uncertain	ADJ
ijassa-727	6	7	-	-	PUNCT
ijassa-727	6	8	random	random	ADJ
ijassa-727	6	9	programming	programming	NOUN
ijassa-727	6	10	,	,	PUNCT
ijassa-727	6	11	we	we	PRON
ijassa-727	6	12	formalized	formalize	VERB
ijassa-727	6	13	as	as	ADP
ijassa-727	6	14	a	a	DET
ijassa-727	6	15	two	two	NUM
ijassa-727	6	16	-	-	PUNCT
ijassa-727	6	17	criterion	criterion	NOUN
ijassa-727	6	18	optimization	optimization	NOUN
ijassa-727	6	19	problem	problem	NOUN
ijassa-727	6	20	with	with	ADP
ijassa-727	6	21	constraints	constraint	NOUN
ijassa-727	6	22	and	and	CCONJ
ijassa-727	6	23	solved	solve	VERB
ijassa-727	6	24	the	the	DET
ijassa-727	6	25	task	task	NOUN
ijassa-727	6	26	of	of	ADP
ijassa-727	6	27	preliminary	preliminary	ADJ
ijassa-727	6	28	aerodynamic	aerodynamic	ADJ
ijassa-727	6	29	design	design	NOUN
ijassa-727	6	30	in	in	ADP
ijassa-727	6	31	the	the	DET
ijassa-727	6	32	conditions	condition	NOUN
ijassa-727	6	33	of	of	ADP
ijassa-727	6	34	parametric	parametric	ADJ
ijassa-727	6	35	mixed	mixed	ADJ
ijassa-727	6	36	uncertainty	uncertainty	NOUN
ijassa-727	6	37	‒	‒	ADP
ijassa-727	6	38	calculation	calculation	NOUN
ijassa-727	6	39	of	of	ADP
ijassa-727	6	40	aircraft	aircraft	NOUN
ijassa-727	6	41	weight	weight	NOUN
ijassa-727	6	42	parameters	parameter	NOUN
ijassa-727	6	43	.	.	PUNCT
ijassa-727	7	1	the	the	DET
ijassa-727	7	2	uncertainty	uncertainty	NOUN
ijassa-727	7	3	theory	theory	NOUN
ijassa-727	7	4	makes	make	VERB
ijassa-727	7	5	possible	possible	ADJ
ijassa-727	7	6	under	under	ADP
ijassa-727	7	7	certain	certain	ADJ
ijassa-727	7	8	conditions	condition	NOUN
ijassa-727	7	9	(	(	PUNCT
ijassa-727	7	10	for	for	ADP
ijassa-727	7	11	sufficiently	sufficiently	ADV
ijassa-727	7	12	wide	wide	ADJ
ijassa-727	7	13	class	class	NOUN
ijassa-727	7	14	of	of	ADP
ijassa-727	7	15	functions	function	NOUN
ijassa-727	7	16	)	)	PUNCT
ijassa-727	7	17	to	to	PART
ijassa-727	7	18	obtain	obtain	VERB
ijassa-727	7	19	analytical	analytical	ADJ
ijassa-727	7	20	expressions	expression	NOUN
ijassa-727	7	21	for	for	ADP
ijassa-727	7	22	characteristics	characteristic	NOUN
ijassa-727	7	23	of	of	ADP
ijassa-727	7	24	uncertain	uncertain	ADJ
ijassa-727	7	25	functions	function	NOUN
ijassa-727	7	26	,	,	PUNCT
ijassa-727	7	27	that	that	PRON
ijassa-727	7	28	significantly	significantly	ADV
ijassa-727	7	29	reduces	reduce	VERB
ijassa-727	7	30	computational	computational	ADJ
ijassa-727	7	31	costs	cost	NOUN
ijassa-727	7	32	.	.	PUNCT
ijassa-727	8	1	to	to	PART
ijassa-727	8	2	calculate	calculate	VERB
ijassa-727	8	3	weight	weight	NOUN
ijassa-727	8	4	parameters	parameter	NOUN
ijassa-727	8	5	of	of	ADP
ijassa-727	8	6	aircraft	aircraft	NOUN
ijassa-727	8	7	,	,	PUNCT
ijassa-727	8	8	we	we	PRON
ijassa-727	8	9	use	use	VERB
ijassa-727	8	10	multicriteria	multicriteria	NOUN
ijassa-727	8	11	genetic	genetic	ADJ
ijassa-727	8	12	algorithm	algorithm	NOUN
ijassa-727	8	13	and	and	CCONJ
ijassa-727	8	14	statistical	statistical	ADJ
ijassa-727	8	15	modeling	modeling	NOUN
ijassa-727	8	16	.	.	PUNCT
ijassa-727	9	1	we	we	PRON
ijassa-727	9	2	investigate	investigate	VERB
ijassa-727	9	3	the	the	DET
ijassa-727	9	4	dependence	dependence	NOUN
ijassa-727	9	5	of	of	ADP
ijassa-727	9	6	the	the	DET
ijassa-727	9	7	optimization	optimization	NOUN
ijassa-727	9	8	result	result	NOUN
ijassa-727	9	9	on	on	ADP
ijassa-727	9	10	the	the	DET
ijassa-727	9	11	given	give	VERB
ijassa-727	9	12	probability	probability	NOUN
ijassa-727	9	13	levels	level	NOUN
ijassa-727	9	14	for	for	ADP
ijassa-727	9	15	random	random	ADJ
ijassa-727	9	16	values	value	NOUN
ijassa-727	9	17	and	and	CCONJ
ijassa-727	9	18	the	the	DET
ijassa-727	9	19	expert	expert	NOUN
ijassa-727	9	20	belief	belief	NOUN
ijassa-727	9	21	degree	degree	NOUN
ijassa-727	9	22	for	for	ADP
ijassa-727	9	23	epistemic	epistemic	ADJ
ijassa-727	9	24	values	value	NOUN
ijassa-727	9	25	reflecting	reflect	VERB
ijassa-727	9	26	the	the	DET
ijassa-727	9	27	reliability	reliability	NOUN
ijassa-727	9	28	of	of	ADP
ijassa-727	9	29	the	the	DET
ijassa-727	9	30	obtained	obtain	VERB
ijassa-727	9	31	solution	solution	NOUN
ijassa-727	9	32	.	.	PUNCT
ijassa-727	10	1	keywords	keyword	NOUN
ijassa-727	10	2	:	:	PUNCT
ijassa-727	10	3	aleatory	aleatory	ADJ
ijassa-727	10	4	uncertainty	uncertainty	NOUN
ijassa-727	10	5	,	,	PUNCT
ijassa-727	10	6	epistemic	epistemic	ADJ
ijassa-727	10	7	uncertainty	uncertainty	NOUN
ijassa-727	10	8	,	,	PUNCT
ijassa-727	10	9	uncertain	uncertain	ADJ
ijassa-727	10	10	-	-	PUNCT
ijassa-727	10	11	random	random	ADJ
ijassa-727	10	12	quantity	quantity	NOUN
ijassa-727	10	13	,	,	PUNCT
ijassa-727	10	14	deterministic	deterministic	ADJ
ijassa-727	10	15	duplicate	duplicate	NOUN
ijassa-727	10	16	,	,	PUNCT
ijassa-727	10	17	uncertain	uncertain	ADJ
ijassa-727	10	18	-	-	PUNCT
ijassa-727	10	19	random	random	ADJ
ijassa-727	10	20	programming	programming	NOUN
ijassa-727	10	21	,	,	PUNCT
ijassa-727	10	22	mixed	mixed	ADJ
ijassa-727	10	23	uncertainty	uncertainty	NOUN
ijassa-727	10	24	.	.	PUNCT
ijassa-727	11	1	1	1	X
ijassa-727	11	2	.	.	X
ijassa-727	11	3	introduction	introduction	NOUN
ijassa-727	11	4	aleatory	aleatory	ADJ
ijassa-727	11	5	(	(	PUNCT
ijassa-727	11	6	objective	objective	NOUN
ijassa-727	11	7	)	)	PUNCT
ijassa-727	11	8	and	and	CCONJ
ijassa-727	11	9	epistemic	epistemic	ADJ
ijassa-727	11	10	(	(	PUNCT
ijassa-727	11	11	subjective	subjective	ADJ
ijassa-727	11	12	)	)	PUNCT
ijassa-727	11	13	uncertainties	uncertainty	NOUN
ijassa-727	11	14	are	be	AUX
ijassa-727	11	15	two	two	NUM
ijassa-727	11	16	types	type	NOUN
ijassa-727	11	17	of	of	ADP
ijassa-727	11	18	uncertainty	uncertainty	NOUN
ijassa-727	11	19	,	,	PUNCT
ijassa-727	11	20	reflecting	reflect	VERB
ijassa-727	11	21	nondeterminism	nondeterminism	NOUN
ijassa-727	11	22	.	.	PUNCT
ijassa-727	12	1	in	in	ADP
ijassa-727	12	2	the	the	DET
ijassa-727	12	3	context	context	NOUN
ijassa-727	12	4	of	of	ADP
ijassa-727	12	5	modeling	model	VERB
ijassa-727	12	6	technical	technical	ADJ
ijassa-727	12	7	objects	object	NOUN
ijassa-727	12	8	and	and	CCONJ
ijassa-727	12	9	decision	decision	NOUN
ijassa-727	12	10	making	make	VERB
ijassa-727	12	11	aleatory	aleatory	ADJ
ijassa-727	12	12	uncertainty	uncertainty	NOUN
ijassa-727	12	13	occurs	occur	VERB
ijassa-727	12	14	when	when	SCONJ
ijassa-727	12	15	information	information	NOUN
ijassa-727	12	16	about	about	ADP
ijassa-727	12	17	a	a	DET
ijassa-727	12	18	stochastic	stochastic	ADJ
ijassa-727	12	19	parameter	parameter	NOUN
ijassa-727	12	20	is	be	AUX
ijassa-727	12	21	accumulated	accumulate	VERB
ijassa-727	12	22	in	in	ADP
ijassa-727	12	23	statistical	statistical	ADJ
ijassa-727	12	24	data	datum	NOUN
ijassa-727	12	25	and	and	CCONJ
ijassa-727	12	26	parameters	parameter	NOUN
ijassa-727	12	27	are	be	AUX
ijassa-727	12	28	modeled	model	VERB
ijassa-727	12	29	by	by	ADP
ijassa-727	12	30	random	random	ADJ
ijassa-727	12	31	variables	variable	NOUN
ijassa-727	12	32	with	with	ADP
ijassa-727	12	33	certain	certain	ADJ
ijassa-727	12	34	distributions	distribution	NOUN
ijassa-727	12	35	.	.	PUNCT
ijassa-727	13	1	epistemic	epistemic	ADJ
ijassa-727	13	2	uncertainty	uncertainty	NOUN
ijassa-727	13	3	arises	arise	VERB
ijassa-727	13	4	when	when	SCONJ
ijassa-727	13	5	information	information	NOUN
ijassa-727	13	6	about	about	ADP
ijassa-727	13	7	a	a	DET
ijassa-727	13	8	parameter	parameter	NOUN
ijassa-727	13	9	is	be	AUX
ijassa-727	13	10	obtained	obtain	VERB
ijassa-727	13	11	from	from	ADP
ijassa-727	13	12	experts	expert	NOUN
ijassa-727	13	13	,	,	PUNCT
ijassa-727	13	14	while	while	SCONJ
ijassa-727	13	15	the	the	DET
ijassa-727	13	16	parameter	parameter	NOUN
ijassa-727	13	17	may	may	AUX
ijassa-727	13	18	be	be	AUX
ijassa-727	13	19	either	either	CCONJ
ijassa-727	13	20	stochastic	stochastic	ADJ
ijassa-727	13	21	,	,	PUNCT
ijassa-727	13	22	but	but	CCONJ
ijassa-727	13	23	there	there	PRON
ijassa-727	13	24	are	be	VERB
ijassa-727	13	25	no	no	DET
ijassa-727	13	26	or	or	CCONJ
ijassa-727	13	27	insufficient	insufficient	ADJ
ijassa-727	13	28	statistical	statistical	ADJ
ijassa-727	13	29	data	datum	NOUN
ijassa-727	13	30	,	,	PUNCT
ijassa-727	13	31	or	or	CCONJ
ijassa-727	13	32	deterministic	deterministic	ADJ
ijassa-727	13	33	,	,	PUNCT
ijassa-727	13	34	but	but	CCONJ
ijassa-727	13	35	its	its	PRON
ijassa-727	13	36	value	value	NOUN
ijassa-727	13	37	is	be	AUX
ijassa-727	13	38	unknown	unknown	ADJ
ijassa-727	13	39	to	to	ADP
ijassa-727	13	40	date	date	NOUN
ijassa-727	13	41	.	.	PUNCT
ijassa-727	14	1	the	the	DET
ijassa-727	14	2	parameters	parameter	NOUN
ijassa-727	14	3	with	with	ADP
ijassa-727	14	4	epistemic	epistemic	ADJ
ijassa-727	14	5	uncertainty	uncertainty	NOUN
ijassa-727	14	6	are	be	AUX
ijassa-727	14	7	modeled	model	VERB
ijassa-727	14	8	by	by	ADP
ijassa-727	14	9	fuzzy	fuzzy	ADJ
ijassa-727	14	10	,	,	PUNCT
ijassa-727	14	11	possibilistic	possibilistic	ADJ
ijassa-727	14	12	,	,	PUNCT
ijassa-727	14	13	uncertain	uncertain	ADJ
ijassa-727	14	14	[	[	X
ijassa-727	14	15	1	1	NUM
ijassa-727	14	16	]	]	PUNCT
ijassa-727	14	17	,	,	PUNCT
ijassa-727	14	18	and	and	CCONJ
ijassa-727	14	19	others	other	NOUN
ijassa-727	14	20	values	value	NOUN
ijassa-727	14	21	.	.	PUNCT
ijassa-727	15	1	decision	decision	NOUN
ijassa-727	15	2	making	making	NOUN
ijassa-727	15	3	in	in	ADP
ijassa-727	15	4	the	the	DET
ijassa-727	15	5	design	design	NOUN
ijassa-727	15	6	of	of	ADP
ijassa-727	15	7	technical	technical	ADJ
ijassa-727	15	8	objects	object	NOUN
ijassa-727	15	9	,	,	PUNCT
ijassa-727	15	10	as	as	ADP
ijassa-727	15	11	a	a	DET
ijassa-727	15	12	rule	rule	NOUN
ijassa-727	15	13	,	,	PUNCT
ijassa-727	15	14	occurs	occur	VERB
ijassa-727	15	15	under	under	ADP
ijassa-727	15	16	conditions	condition	NOUN
ijassa-727	15	17	of	of	ADP
ijassa-727	15	18	mixed	mixed	ADJ
ijassa-727	15	19	uncertainty	uncertainty	NOUN
ijassa-727	15	20	,	,	PUNCT
ijassa-727	15	21	when	when	SCONJ
ijassa-727	15	22	there	there	PRON
ijassa-727	15	23	are	be	VERB
ijassa-727	15	24	parameters	parameter	NOUN
ijassa-727	15	25	both	both	CCONJ
ijassa-727	15	26	aleatory	aleatory	ADJ
ijassa-727	15	27	and	and	CCONJ
ijassa-727	15	28	epistemic	epistemic	ADJ
ijassa-727	15	29	.	.	PUNCT
ijassa-727	16	1	the	the	DET
ijassa-727	16	2	existing	exist	VERB
ijassa-727	16	3	methods	method	NOUN
ijassa-727	16	4	and	and	CCONJ
ijassa-727	16	5	design	design	NOUN
ijassa-727	16	6	tools	tool	NOUN
ijassa-727	16	7	do	do	AUX
ijassa-727	16	8	not	not	PART
ijassa-727	16	9	take	take	VERB
ijassa-727	16	10	into	into	ADP
ijassa-727	16	11	account	account	NOUN
ijassa-727	16	12	the	the	DET
ijassa-727	16	13	presence	presence	NOUN
ijassa-727	16	14	of	of	ADP
ijassa-727	16	15	parameters	parameter	NOUN
ijassa-727	16	16	with	with	ADP
ijassa-727	16	17	epistemic	epistemic	ADJ
ijassa-727	16	18	uncertainty	uncertainty	NOUN
ijassa-727	16	19	.	.	PUNCT
ijassa-727	17	1	however	however	ADV
ijassa-727	17	2	if	if	SCONJ
ijassa-727	17	3	we	we	PRON
ijassa-727	17	4	consider	consider	VERB
ijassa-727	17	5	the	the	DET
ijassa-727	17	6	epistemic	epistemic	ADJ
ijassa-727	17	7	parameters	parameter	NOUN
ijassa-727	17	8	as	as	ADP
ijassa-727	17	9	random	random	ADJ
ijassa-727	17	10	variables	variable	NOUN
ijassa-727	17	11	,	,	PUNCT
ijassa-727	17	12	it	it	PRON
ijassa-727	17	13	can	can	AUX
ijassa-727	17	14	lead	lead	VERB
ijassa-727	17	15	to	to	ADP
ijassa-727	17	16	errors	error	NOUN
ijassa-727	17	17	,	,	PUNCT
ijassa-727	17	18	which	which	PRON
ijassa-727	17	19	is	be	AUX
ijassa-727	17	20	associated	associate	VERB
ijassa-727	17	21	with	with	ADP
ijassa-727	17	22	the	the	DET
ijassa-727	17	23	nonadditivity	nonadditivity	NOUN
ijassa-727	17	24	of	of	ADP
ijassa-727	17	25	expert	expert	NOUN
ijassa-727	17	26	judgments	judgment	NOUN
ijassa-727	17	27	(	(	PUNCT
ijassa-727	17	28	the	the	DET
ijassa-727	17	29	measure	measure	NOUN
ijassa-727	17	30	of	of	ADP
ijassa-727	17	31	uncertainty	uncertainty	NOUN
ijassa-727	17	32	is	be	AUX
ijassa-727	17	33	nonadditive	nonadditive	ADJ
ijassa-727	17	34	in	in	ADP
ijassa-727	17	35	contrast	contrast	NOUN
ijassa-727	17	36	to	to	ADP
ijassa-727	17	37	the	the	DET
ijassa-727	17	38	probabilistic	probabilistic	ADJ
ijassa-727	17	39	measure	measure	NOUN
ijassa-727	17	40	)	)	PUNCT
ijassa-727	17	41	.	.	PUNCT
ijassa-727	18	1	*	*	PUNCT
ijassa-727	18	2	corresponding	correspond	VERB
ijassa-727	18	3	author	author	NOUN
ijassa-727	18	4	:	:	PUNCT
ijassa-727	18	5	veresnikov@mail.ru	veresnikov@mail.ru	ADP
ijassa-727	18	6	mailto:veresnikov@mail.ru	mailto:veresnikov@mail.ru	ADJ
ijassa-727	18	7	models	model	NOUN
ijassa-727	18	8	of	of	ADP
ijassa-727	18	9	uncertain	uncertain	ADJ
ijassa-727	18	10	-	-	PUNCT
ijassa-727	18	11	random	random	ADJ
ijassa-727	18	12	programming	programming	NOUN
ijassa-727	18	13	9	9	NUM
ijassa-727	18	14	copyright	copyright	NOUN
ijassa-727	18	15	©	©	PROPN
ijassa-727	18	16	2019	2019	NUM
ijassa-727	18	17	assa	assa	NOUN
ijassa-727	18	18	.	.	PUNCT
ijassa-727	19	1	adv	adv	PROPN
ijassa-727	19	2	.	.	PUNCT
ijassa-727	20	1	in	in	ADP
ijassa-727	20	2	systems	system	NOUN
ijassa-727	20	3	science	science	NOUN
ijassa-727	20	4	and	and	CCONJ
ijassa-727	20	5	appl	appl	NOUN
ijassa-727	20	6	.	.	PUNCT
ijassa-727	21	1	(	(	PUNCT
ijassa-727	21	2	2019	2019	NUM
ijassa-727	21	3	)	)	PUNCT
ijassa-727	21	4	it	it	PRON
ijassa-727	21	5	is	be	AUX
ijassa-727	21	6	important	important	ADJ
ijassa-727	21	7	to	to	PART
ijassa-727	21	8	note	note	VERB
ijassa-727	21	9	that	that	SCONJ
ijassa-727	21	10	in	in	ADP
ijassa-727	21	11	construction	construction	NOUN
ijassa-727	21	12	of	of	ADP
ijassa-727	21	13	optimization	optimization	NOUN
ijassa-727	21	14	models	model	NOUN
ijassa-727	21	15	in	in	ADP
ijassa-727	21	16	conditions	condition	NOUN
ijassa-727	21	17	of	of	ADP
ijassa-727	21	18	uncertainty	uncertainty	NOUN
ijassa-727	21	19	,	,	PUNCT
ijassa-727	21	20	transition	transition	NOUN
ijassa-727	21	21	from	from	ADP
ijassa-727	21	22	nondeterministic	nondeterministic	ADJ
ijassa-727	21	23	objective	objective	ADJ
ijassa-727	21	24	functions	function	NOUN
ijassa-727	21	25	and	and	CCONJ
ijassa-727	21	26	restrictions	restriction	NOUN
ijassa-727	21	27	to	to	ADP
ijassa-727	21	28	their	their	PRON
ijassa-727	21	29	deterministic	deterministic	ADJ
ijassa-727	21	30	duplicates	duplicate	NOUN
ijassa-727	21	31	is	be	AUX
ijassa-727	21	32	necessary	necessary	ADJ
ijassa-727	21	33	.	.	PUNCT
ijassa-727	22	1	deterministic	deterministic	ADJ
ijassa-727	22	2	duplicates	duplicate	NOUN
ijassa-727	22	3	of	of	ADP
ijassa-727	22	4	objective	objective	ADJ
ijassa-727	22	5	functions	function	NOUN
ijassa-727	22	6	are	be	AUX
ijassa-727	22	7	their	their	PRON
ijassa-727	22	8	numerical	numerical	ADJ
ijassa-727	22	9	characteristics	characteristic	NOUN
ijassa-727	22	10	(	(	PUNCT
ijassa-727	22	11	mean	mean	ADJ
ijassa-727	22	12	,	,	PUNCT
ijassa-727	22	13	variance	variance	NOUN
ijassa-727	22	14	,	,	PUNCT
ijassa-727	22	15	quantile	quantile	NOUN
ijassa-727	22	16	,	,	PUNCT
ijassa-727	22	17	etc	etc	X
ijassa-727	22	18	.	.	X
ijassa-727	22	19	)	)	PUNCT
ijassa-727	22	20	.	.	PUNCT
ijassa-727	23	1	let	let	VERB
ijassa-727	23	2	)	)	PUNCT
ijassa-727	23	3	,	,	PUNCT
ijassa-727	23	4	(	(	PUNCT
ijassa-727	23	5	f	f	PROPN
ijassa-727	23	6			PROPN
ijassa-727	23	7	be	be	AUX
ijassa-727	23	8	a	a	DET
ijassa-727	23	9	function	function	NOUN
ijassa-727	23	10	of	of	ADP
ijassa-727	23	11	epistemic	epistemic	ADJ
ijassa-727	23	12	values	values	PROPN
ijassa-727	23	13	and	and	CCONJ
ijassa-727	23	14	aleatory	aleatory	ADJ
ijassa-727	23	15	values	values	NOUN
ijassa-727	23	16	,	,	PUNCT
ijassa-727	23	17	i.e.	i.e.	X
ijassa-727	23	18	a	a	DET
ijassa-727	23	19	value	value	NOUN
ijassa-727	23	20	with	with	ADP
ijassa-727	23	21	mixed	mixed	ADJ
ijassa-727	23	22	uncertainty	uncertainty	NOUN
ijassa-727	23	23	.	.	PUNCT
ijassa-727	24	1	there	there	PRON
ijassa-727	24	2	are	be	VERB
ijassa-727	24	3	two	two	NUM
ijassa-727	24	4	known	known	ADJ
ijassa-727	24	5	approaches	approach	NOUN
ijassa-727	24	6	to	to	ADP
ijassa-727	24	7	modeling	model	VERB
ijassa-727	24	8	a	a	DET
ijassa-727	24	9	value	value	NOUN
ijassa-727	24	10	with	with	ADP
ijassa-727	24	11	mixed	mixed	ADJ
ijassa-727	24	12	uncertainty	uncertainty	NOUN
ijassa-727	24	13	and	and	CCONJ
ijassa-727	24	14	its	its	PRON
ijassa-727	24	15	characteristics	characteristic	NOUN
ijassa-727	24	16	(	(	PUNCT
ijassa-727	24	17	deterministic	deterministic	ADJ
ijassa-727	24	18	duplicates	duplicate	NOUN
ijassa-727	24	19	)	)	PUNCT
ijassa-727	24	20	based	base	VERB
ijassa-727	24	21	on	on	ADP
ijassa-727	24	22	different	different	ADJ
ijassa-727	24	23	interpretations	interpretation	NOUN
ijassa-727	24	24	of	of	ADP
ijassa-727	24	25	a	a	DET
ijassa-727	24	26	value	value	NOUN
ijassa-727	24	27	with	with	ADP
ijassa-727	24	28	mixed	mixed	ADJ
ijassa-727	24	29	uncertainty	uncertainty	NOUN
ijassa-727	24	30	[	[	X
ijassa-727	24	31	1	1	NUM
ijassa-727	24	32	-	-	SYM
ijassa-727	24	33	4	4	NUM
ijassa-727	24	34	]	]	PUNCT
ijassa-727	24	35	.	.	PUNCT
ijassa-727	25	1	the	the	DET
ijassa-727	25	2	first	first	ADJ
ijassa-727	25	3	approach	approach	NOUN
ijassa-727	25	4	considers	consider	VERB
ijassa-727	25	5	)	)	PUNCT
ijassa-727	25	6	,	,	PUNCT
ijassa-727	25	7	(	(	PUNCT
ijassa-727	25	8	f	f	PROPN
ijassa-727	25	9			PROPN
ijassa-727	25	10	as	as	ADP
ijassa-727	25	11	random	random	ADJ
ijassa-727	25	12	value	value	NOUN
ijassa-727	25	13	parameterized	parameterize	VERB
ijassa-727	25	14	by	by	ADP
ijassa-727	25	15	epistemic	epistemic	ADJ
ijassa-727	25	16	values	value	NOUN
ijassa-727	25	17	.	.	PUNCT
ijassa-727	26	1	we	we	PRON
ijassa-727	26	2	determine	determine	VERB
ijassa-727	26	3	the	the	DET
ijassa-727	26	4	characteristic	characteristic	NOUN
ijassa-727	26	5	of	of	ADP
ijassa-727	26	6	function	function	NOUN
ijassa-727	26	7	)	)	PUNCT
ijassa-727	26	8	,	,	PUNCT
ijassa-727	26	9	(	(	PUNCT
ijassa-727	26	10	f	f	PROPN
ijassa-727	26	11			PROPN
ijassa-727	26	12	in	in	ADP
ijassa-727	26	13	two	two	NUM
ijassa-727	26	14	stages	stage	NOUN
ijassa-727	26	15	.	.	PUNCT
ijassa-727	27	1	first	first	ADV
ijassa-727	27	2	,	,	PUNCT
ijassa-727	27	3	we	we	PRON
ijassa-727	27	4	calculate	calculate	VERB
ijassa-727	27	5	the	the	DET
ijassa-727	27	6	numerical	numerical	ADJ
ijassa-727	27	7	characteristic	characteristic	NOUN
ijassa-727	27	8	of	of	ADP
ijassa-727	27	9	the	the	DET
ijassa-727	27	10	function	function	NOUN
ijassa-727	27	11	as	as	ADP
ijassa-727	27	12	a	a	DET
ijassa-727	27	13	random	random	ADJ
ijassa-727	27	14	quantity	quantity	NOUN
ijassa-727	27	15	for	for	ADP
ijassa-727	27	16	each	each	DET
ijassa-727	27	17	implementation	implementation	NOUN
ijassa-727	27	18	of	of	ADP
ijassa-727	27	19	epistemic	epistemic	ADJ
ijassa-727	27	20	quantities	quantity	NOUN
ijassa-727	27	21	.	.	PUNCT
ijassa-727	28	1	this	this	DET
ijassa-727	28	2	characteristic	characteristic	NOUN
ijassa-727	28	3	does	do	AUX
ijassa-727	28	4	not	not	PART
ijassa-727	28	5	depend	depend	VERB
ijassa-727	28	6	on	on	ADP
ijassa-727	28	7	random	random	ADJ
ijassa-727	28	8	quantities	quantity	NOUN
ijassa-727	28	9	and	and	CCONJ
ijassa-727	28	10	,	,	PUNCT
ijassa-727	28	11	as	as	ADP
ijassa-727	28	12	a	a	DET
ijassa-727	28	13	function	function	NOUN
ijassa-727	28	14	of	of	ADP
ijassa-727	28	15	epistemic	epistemic	ADJ
ijassa-727	28	16	quantities	quantity	NOUN
ijassa-727	28	17	,	,	PUNCT
ijassa-727	28	18	is	be	AUX
ijassa-727	28	19	an	an	DET
ijassa-727	28	20	epistemic	epistemic	ADJ
ijassa-727	28	21	quantity	quantity	NOUN
ijassa-727	28	22	.	.	PUNCT
ijassa-727	29	1	then	then	ADV
ijassa-727	29	2	we	we	PRON
ijassa-727	29	3	calculate	calculate	VERB
ijassa-727	29	4	the	the	DET
ijassa-727	29	5	characteristic	characteristic	NOUN
ijassa-727	29	6	of	of	ADP
ijassa-727	29	7	this	this	DET
ijassa-727	29	8	epistemic	epistemic	ADJ
ijassa-727	29	9	quantity	quantity	NOUN
ijassa-727	29	10	,	,	PUNCT
ijassa-727	29	11	which	which	PRON
ijassa-727	29	12	is	be	AUX
ijassa-727	29	13	the	the	DET
ijassa-727	29	14	characteristic	characteristic	NOUN
ijassa-727	29	15	of	of	ADP
ijassa-727	29	16	the	the	DET
ijassa-727	29	17	function	function	NOUN
ijassa-727	29	18	with	with	ADP
ijassa-727	29	19	mixed	mixed	ADJ
ijassa-727	29	20	uncertainty	uncertainty	NOUN
ijassa-727	29	21	.	.	PUNCT
ijassa-727	30	1	the	the	DET
ijassa-727	30	2	second	second	ADJ
ijassa-727	30	3	approach	approach	NOUN
ijassa-727	30	4	considers	consider	VERB
ijassa-727	30	5	)	)	PUNCT
ijassa-727	30	6	,	,	PUNCT
ijassa-727	30	7	(	(	PUNCT
ijassa-727	30	8	f	f	PROPN
ijassa-727	30	9			PROPN
ijassa-727	30	10	as	as	ADP
ijassa-727	30	11	epistemic	epistemic	ADJ
ijassa-727	30	12	value	value	NOUN
ijassa-727	30	13	parameterized	parameterize	VERB
ijassa-727	30	14	by	by	ADP
ijassa-727	30	15	random	random	ADJ
ijassa-727	30	16	values	value	NOUN
ijassa-727	30	17	.	.	PUNCT
ijassa-727	31	1	we	we	PRON
ijassa-727	31	2	determine	determine	VERB
ijassa-727	31	3	the	the	DET
ijassa-727	31	4	characteristic	characteristic	NOUN
ijassa-727	31	5	of	of	ADP
ijassa-727	31	6	function	function	NOUN
ijassa-727	31	7	)	)	PUNCT
ijassa-727	31	8	,	,	PUNCT
ijassa-727	31	9	(	(	PUNCT
ijassa-727	31	10	f	f	PROPN
ijassa-727	31	11			PROPN
ijassa-727	31	12	in	in	ADP
ijassa-727	31	13	two	two	NUM
ijassa-727	31	14	stages	stage	NOUN
ijassa-727	31	15	.	.	PUNCT
ijassa-727	32	1	first	first	ADV
ijassa-727	32	2	,	,	PUNCT
ijassa-727	32	3	we	we	PRON
ijassa-727	32	4	calculate	calculate	VERB
ijassa-727	32	5	the	the	DET
ijassa-727	32	6	characteristic	characteristic	NOUN
ijassa-727	32	7	of	of	ADP
ijassa-727	32	8	the	the	DET
ijassa-727	32	9	function	function	NOUN
ijassa-727	32	10	as	as	ADP
ijassa-727	32	11	an	an	DET
ijassa-727	32	12	epistemic	epistemic	ADJ
ijassa-727	32	13	quantity	quantity	NOUN
ijassa-727	32	14	for	for	ADP
ijassa-727	32	15	each	each	DET
ijassa-727	32	16	implementation	implementation	NOUN
ijassa-727	32	17	of	of	ADP
ijassa-727	32	18	random	random	ADJ
ijassa-727	32	19	quantities	quantity	NOUN
ijassa-727	32	20	.	.	PUNCT
ijassa-727	33	1	this	this	DET
ijassa-727	33	2	characteristic	characteristic	NOUN
ijassa-727	33	3	does	do	AUX
ijassa-727	33	4	not	not	PART
ijassa-727	33	5	depend	depend	VERB
ijassa-727	33	6	on	on	ADP
ijassa-727	33	7	epistemic	epistemic	ADJ
ijassa-727	33	8	quantities	quantity	NOUN
ijassa-727	33	9	and	and	CCONJ
ijassa-727	33	10	,	,	PUNCT
ijassa-727	33	11	as	as	ADP
ijassa-727	33	12	a	a	DET
ijassa-727	33	13	function	function	NOUN
ijassa-727	33	14	of	of	ADP
ijassa-727	33	15	random	random	ADJ
ijassa-727	33	16	quantities	quantity	NOUN
ijassa-727	33	17	,	,	PUNCT
ijassa-727	33	18	is	be	AUX
ijassa-727	33	19	a	a	DET
ijassa-727	33	20	random	random	ADJ
ijassa-727	33	21	quantity	quantity	NOUN
ijassa-727	33	22	.	.	PUNCT
ijassa-727	34	1	then	then	ADV
ijassa-727	34	2	we	we	PRON
ijassa-727	34	3	calculate	calculate	VERB
ijassa-727	34	4	the	the	DET
ijassa-727	34	5	numerical	numerical	ADJ
ijassa-727	34	6	characteristic	characteristic	NOUN
ijassa-727	34	7	of	of	ADP
ijassa-727	34	8	this	this	DET
ijassa-727	34	9	random	random	ADJ
ijassa-727	34	10	quantity	quantity	NOUN
ijassa-727	34	11	,	,	PUNCT
ijassa-727	34	12	which	which	PRON
ijassa-727	34	13	is	be	AUX
ijassa-727	34	14	the	the	DET
ijassa-727	34	15	characteristic	characteristic	NOUN
ijassa-727	34	16	of	of	ADP
ijassa-727	34	17	the	the	DET
ijassa-727	34	18	function	function	NOUN
ijassa-727	34	19	with	with	ADP
ijassa-727	34	20	mixed	mixed	ADJ
ijassa-727	34	21	uncertainty	uncertainty	NOUN
ijassa-727	34	22	.	.	PUNCT
ijassa-727	35	1	calculating	calculate	VERB
ijassa-727	35	2	characteristics	characteristic	NOUN
ijassa-727	35	3	of	of	ADP
ijassa-727	35	4	mixed	mixed	ADJ
ijassa-727	35	5	uncertainty	uncertainty	NOUN
ijassa-727	35	6	values	value	NOUN
ijassa-727	35	7	is	be	AUX
ijassa-727	35	8	very	very	ADV
ijassa-727	35	9	expensive	expensive	ADJ
ijassa-727	35	10	,	,	PUNCT
ijassa-727	35	11	especially	especially	ADV
ijassa-727	35	12	in	in	ADP
ijassa-727	35	13	absence	absence	NOUN
ijassa-727	35	14	of	of	ADP
ijassa-727	35	15	explicit	explicit	ADJ
ijassa-727	35	16	formulas	formula	NOUN
ijassa-727	35	17	for	for	ADP
ijassa-727	35	18	epistemic	epistemic	ADJ
ijassa-727	35	19	and/or	and/or	CCONJ
ijassa-727	35	20	random	random	ADJ
ijassa-727	35	21	characteristics	characteristic	NOUN
ijassa-727	35	22	[	[	X
ijassa-727	35	23	2	2	NUM
ijassa-727	35	24	-	-	SYM
ijassa-727	35	25	4	4	NUM
ijassa-727	35	26	]	]	PUNCT
ijassa-727	35	27	.	.	PUNCT
ijassa-727	36	1	in	in	ADP
ijassa-727	36	2	this	this	DET
ijassa-727	36	3	regard	regard	NOUN
ijassa-727	36	4	,	,	PUNCT
ijassa-727	36	5	it	it	PRON
ijassa-727	36	6	is	be	AUX
ijassa-727	36	7	relevant	relevant	ADJ
ijassa-727	36	8	to	to	PART
ijassa-727	36	9	highlight	highlight	VERB
ijassa-727	36	10	conditions	condition	NOUN
ijassa-727	36	11	under	under	ADP
ijassa-727	36	12	which	which	PRON
ijassa-727	36	13	there	there	PRON
ijassa-727	36	14	are	be	VERB
ijassa-727	36	15	analytical	analytical	ADJ
ijassa-727	36	16	expressions	expression	NOUN
ijassa-727	36	17	of	of	ADP
ijassa-727	36	18	characteristics	characteristic	NOUN
ijassa-727	36	19	.	.	PUNCT
ijassa-727	37	1	thus	thus	ADV
ijassa-727	37	2	,	,	PUNCT
ijassa-727	37	3	in	in	ADP
ijassa-727	37	4	[	[	X
ijassa-727	37	5	4	4	X
ijassa-727	37	6	]	]	PUNCT
ijassa-727	37	7	in	in	ADP
ijassa-727	37	8	framework	framework	NOUN
ijassa-727	37	9	of	of	ADP
ijassa-727	37	10	the	the	DET
ijassa-727	37	11	first	first	ADJ
ijassa-727	37	12	approach	approach	NOUN
ijassa-727	37	13	,	,	PUNCT
ijassa-727	37	14	the	the	DET
ijassa-727	37	15	authors	author	NOUN
ijassa-727	37	16	investigate	investigate	VERB
ijassa-727	37	17	values	value	NOUN
ijassa-727	37	18	with	with	ADP
ijassa-727	37	19	mixed	mixed	ADJ
ijassa-727	37	20	uncertainty	uncertainty	NOUN
ijassa-727	37	21	,	,	PUNCT
ijassa-727	37	22	where	where	SCONJ
ijassa-727	37	23	possibilistic	possibilistic	ADJ
ijassa-727	37	24	values	value	NOUN
ijassa-727	37	25	model	model	VERB
ijassa-727	37	26	epistemic	epistemic	ADJ
ijassa-727	37	27	values	value	NOUN
ijassa-727	37	28	,	,	PUNCT
ijassa-727	37	29	while	while	SCONJ
ijassa-727	37	30	possibilistic	possibilistic	ADJ
ijassa-727	37	31	-	-	PUNCT
ijassa-727	37	32	random	random	ADJ
ijassa-727	37	33	values	value	NOUN
ijassa-727	37	34	have	have	VERB
ijassa-727	37	35	a	a	DET
ijassa-727	37	36	shift	shift	NOUN
ijassa-727	37	37	-	-	PUNCT
ijassa-727	37	38	scale	scale	NOUN
ijassa-727	37	39	representation	representation	NOUN
ijassa-727	37	40	:	:	PUNCT
ijassa-727	37	41	f	f	PROPN
ijassa-727	37	42	(	(	PUNCT
ijassa-727	37	43	ξ	ξ	PROPN
ijassa-727	37	44	,	,	PUNCT
ijassa-727	37	45	ω	ω	NOUN
ijassa-727	37	46	)	)	PUNCT
ijassa-727	37	47	=	=	NOUN
ijassa-727	37	48	α(ω)+σ(ω)∙	α(ω)+σ(ω)∙	X
ijassa-727	37	49	β(ξ	β(ξ	PROPN
ijassa-727	37	50	)	)	PUNCT
ijassa-727	37	51	,	,	PUNCT
ijassa-727	37	52	where	where	SCONJ
ijassa-727	37	53	α(ω	α(ω	NOUN
ijassa-727	37	54	)	)	PUNCT
ijassa-727	37	55	and	and	CCONJ
ijassa-727	37	56	σ(ω	σ(ω	PROPN
ijassa-727	37	57	)	)	PUNCT
ijassa-727	37	58	are	be	AUX
ijassa-727	37	59	random	random	ADJ
ijassa-727	37	60	values	value	NOUN
ijassa-727	37	61	,	,	PUNCT
ijassa-727	37	62	β(ξ	β(ξ	X
ijassa-727	37	63	)	)	PUNCT
ijassa-727	37	64	is	be	AUX
ijassa-727	37	65	a	a	DET
ijassa-727	37	66	possibilistic	possibilistic	ADJ
ijassa-727	37	67	value	value	NOUN
ijassa-727	37	68	.	.	PUNCT
ijassa-727	38	1	the	the	DET
ijassa-727	38	2	authors	author	NOUN
ijassa-727	38	3	obtain	obtain	VERB
ijassa-727	38	4	formulas	formula	NOUN
ijassa-727	38	5	for	for	ADP
ijassa-727	38	6	calculating	calculate	VERB
ijassa-727	38	7	the	the	DET
ijassa-727	38	8	characteristics	characteristic	NOUN
ijassa-727	38	9	of	of	ADP
ijassa-727	38	10	the	the	DET
ijassa-727	38	11	weighted	weight	VERB
ijassa-727	38	12	sum	sum	NOUN
ijassa-727	38	13	of	of	ADP
ijassa-727	38	14	the	the	DET
ijassa-727	38	15	possibilistic	possibilistic	ADJ
ijassa-727	38	16	-	-	PUNCT
ijassa-727	38	17	random	random	ADJ
ijassa-727	38	18	values	value	NOUN
ijassa-727	38	19	of	of	ADP
ijassa-727	38	20	the	the	DET
ijassa-727	38	21	shift	shift	NOUN
ijassa-727	38	22	-	-	PUNCT
ijassa-727	38	23	scale	scale	NOUN
ijassa-727	38	24	form	form	NOUN
ijassa-727	38	25	with	with	ADP
ijassa-727	38	26	a	a	DET
ijassa-727	38	27	certain	certain	ADJ
ijassa-727	38	28	type	type	NOUN
ijassa-727	38	29	distribution	distribution	NOUN
ijassa-727	38	30	for	for	ADP
ijassa-727	38	31	the	the	DET
ijassa-727	38	32	possibilistic	possibilistic	ADJ
ijassa-727	38	33	and	and	CCONJ
ijassa-727	38	34	random	random	ADJ
ijassa-727	38	35	values	value	NOUN
ijassa-727	38	36	.	.	PUNCT
ijassa-727	39	1	uncertainty	uncertainty	NOUN
ijassa-727	39	2	theory	theory	NOUN
ijassa-727	39	3	makes	make	VERB
ijassa-727	39	4	possible	possible	ADJ
ijassa-727	39	5	for	for	SCONJ
ijassa-727	39	6	wider	wide	ADJ
ijassa-727	39	7	class	class	NOUN
ijassa-727	39	8	of	of	ADP
ijassa-727	39	9	functions	function	NOUN
ijassa-727	39	10	to	to	PART
ijassa-727	39	11	obtain	obtain	VERB
ijassa-727	39	12	analytical	analytical	ADJ
ijassa-727	39	13	expressions	expression	NOUN
ijassa-727	39	14	for	for	ADP
ijassa-727	39	15	characteristics	characteristic	NOUN
ijassa-727	39	16	of	of	ADP
ijassa-727	39	17	uncertain	uncertain	ADJ
ijassa-727	39	18	functions	function	NOUN
ijassa-727	39	19	.	.	PUNCT
ijassa-727	40	1	that	that	PRON
ijassa-727	40	2	significantly	significantly	ADV
ijassa-727	40	3	reduces	reduce	VERB
ijassa-727	40	4	computational	computational	ADJ
ijassa-727	40	5	costs	cost	NOUN
ijassa-727	40	6	.	.	PUNCT
ijassa-727	41	1	in	in	ADP
ijassa-727	41	2	this	this	DET
ijassa-727	41	3	paper	paper	NOUN
ijassa-727	41	4	,	,	PUNCT
ijassa-727	41	5	we	we	PRON
ijassa-727	41	6	model	model	VERB
ijassa-727	41	7	epistemic	epistemic	ADJ
ijassa-727	41	8	values	value	NOUN
ijassa-727	41	9	by	by	ADP
ijassa-727	41	10	uncertain	uncertain	ADJ
ijassa-727	41	11	values	value	NOUN
ijassa-727	41	12	introduced	introduce	VERB
ijassa-727	41	13	in	in	ADP
ijassa-727	41	14	theory	theory	NOUN
ijassa-727	41	15	of	of	ADP
ijassa-727	41	16	uncertainty	uncertainty	NOUN
ijassa-727	41	17	[	[	X
ijassa-727	41	18	1	1	NUM
ijassa-727	41	19	]	]	PUNCT
ijassa-727	41	20	.	.	PUNCT
ijassa-727	42	1	further	far	ADV
ijassa-727	42	2	,	,	PUNCT
ijassa-727	42	3	we	we	PRON
ijassa-727	42	4	will	will	AUX
ijassa-727	42	5	call	call	VERB
ijassa-727	42	6	uncertain	uncertain	ADJ
ijassa-727	42	7	only	only	ADV
ijassa-727	42	8	such	such	ADJ
ijassa-727	42	9	values	value	NOUN
ijassa-727	42	10	.	.	PUNCT
ijassa-727	43	1	chance	chance	NOUN
ijassa-727	43	2	theory	theory	NOUN
ijassa-727	43	3	[	[	X
ijassa-727	43	4	1	1	NUM
ijassa-727	43	5	]	]	PUNCT
ijassa-727	43	6	introduces	introduce	VERB
ijassa-727	43	7	uncertain	uncertain	ADJ
ijassa-727	43	8	-	-	PUNCT
ijassa-727	43	9	random	random	ADJ
ijassa-727	43	10	value	value	NOUN
ijassa-727	43	11	,	,	PUNCT
ijassa-727	43	12	where	where	SCONJ
ijassa-727	43	13	uncertain	uncertain	ADJ
ijassa-727	43	14	values	value	NOUN
ijassa-727	43	15	model	model	VERB
ijassa-727	43	16	epistemic	epistemic	ADJ
ijassa-727	43	17	values	value	NOUN
ijassa-727	43	18	.	.	PUNCT
ijassa-727	44	1	the	the	DET
ijassa-727	44	2	chance	chance	NOUN
ijassa-727	44	3	is	be	AUX
ijassa-727	44	4	a	a	DET
ijassa-727	44	5	measure	measure	NOUN
ijassa-727	44	6	of	of	ADP
ijassa-727	44	7	mixed	mixed	ADJ
ijassa-727	44	8	uncertainty	uncertainty	NOUN
ijassa-727	44	9	.	.	PUNCT
ijassa-727	45	1	uncertain	uncertain	ADJ
ijassa-727	45	2	-	-	PUNCT
ijassa-727	45	3	random	random	ADJ
ijassa-727	45	4	value	value	NOUN
ijassa-727	45	5	is	be	AUX
ijassa-727	45	6	a	a	DET
ijassa-727	45	7	real	real	ADJ
ijassa-727	45	8	function	function	NOUN
ijassa-727	45	9	on	on	ADP
ijassa-727	45	10	uncertain	uncertain	ADJ
ijassa-727	45	11	-	-	PUNCT
ijassa-727	45	12	random	random	ADJ
ijassa-727	45	13	space	space	NOUN
ijassa-727	45	14	with	with	ADP
ijassa-727	45	15	chance	chance	NOUN
ijassa-727	45	16	measure	measure	NOUN
ijassa-727	45	17	and	and	CCONJ
ijassa-727	45	18	have	have	VERB
ijassa-727	45	19	distribution	distribution	NOUN
ijassa-727	45	20	function	function	NOUN
ijassa-727	45	21	of	of	ADP
ijassa-727	45	22	chance	chance	NOUN
ijassa-727	45	23	measure	measure	NOUN
ijassa-727	45	24	(	(	PUNCT
ijassa-727	45	25	definitions	definition	NOUN
ijassa-727	45	26	10	10	NUM
ijassa-727	45	27	-	-	SYM
ijassa-727	45	28	12	12	NUM
ijassa-727	45	29	,	,	PUNCT
ijassa-727	45	30	appendix	appendix	NOUN
ijassa-727	45	31	)	)	PUNCT
ijassa-727	45	32	.	.	PUNCT
ijassa-727	46	1	characteristics	characteristic	NOUN
ijassa-727	46	2	of	of	ADP
ijassa-727	46	3	uncertain	uncertain	ADJ
ijassa-727	46	4	-	-	PUNCT
ijassa-727	46	5	random	random	ADJ
ijassa-727	46	6	values	value	NOUN
ijassa-727	46	7	,	,	PUNCT
ijassa-727	46	8	defined	define	VERB
ijassa-727	46	9	as	as	ADP
ijassa-727	46	10	the	the	DET
ijassa-727	46	11	characteristics	characteristic	NOUN
ijassa-727	46	12	of	of	ADP
ijassa-727	46	13	the	the	DET
ijassa-727	46	14	chance	chance	NOUN
ijassa-727	46	15	measure	measure	NOUN
ijassa-727	46	16	distribution	distribution	NOUN
ijassa-727	46	17	function	function	NOUN
ijassa-727	46	18	(	(	PUNCT
ijassa-727	46	19	for	for	ADP
ijassa-727	46	20	example	example	NOUN
ijassa-727	46	21	,	,	PUNCT
ijassa-727	46	22	definition	definition	NOUN
ijassa-727	46	23	13	13	NUM
ijassa-727	46	24	,	,	PUNCT
ijassa-727	46	25	appendix	appendix	NOUN
ijassa-727	46	26	)	)	PUNCT
ijassa-727	46	27	,	,	PUNCT
ijassa-727	46	28	will	will	AUX
ijassa-727	46	29	always	always	ADV
ijassa-727	46	30	be	be	AUX
ijassa-727	46	31	averaged	average	VERB
ijassa-727	46	32	epistemic	epistemic	ADJ
ijassa-727	46	33	characteristics	characteristic	NOUN
ijassa-727	46	34	,	,	PUNCT
ijassa-727	46	35	since	since	SCONJ
ijassa-727	46	36	chance	chance	NOUN
ijassa-727	46	37	measure	measure	NOUN
ijassa-727	46	38	is	be	AUX
ijassa-727	46	39	the	the	DET
ijassa-727	46	40	mathematical	mathematical	ADJ
ijassa-727	46	41	expectation	expectation	NOUN
ijassa-727	46	42	of	of	ADP
ijassa-727	46	43	uncertain	uncertain	ADJ
ijassa-727	46	44	measure	measure	NOUN
ijassa-727	46	45	(	(	PUNCT
ijassa-727	46	46	definition	definition	NOUN
ijassa-727	46	47	1	1	NUM
ijassa-727	46	48	,	,	PUNCT
ijassa-727	46	49	appendix	appendix	NOUN
ijassa-727	46	50	)	)	PUNCT
ijassa-727	46	51	.	.	PUNCT
ijassa-727	47	1	characteristics	characteristic	NOUN
ijassa-727	47	2	are	be	AUX
ijassa-727	47	3	actually	actually	ADV
ijassa-727	47	4	determined	determined	ADJ
ijassa-727	47	5	as	as	ADP
ijassa-727	47	6	in	in	ADP
ijassa-727	47	7	the	the	DET
ijassa-727	47	8	second	second	ADJ
ijassa-727	47	9	approach	approach	NOUN
ijassa-727	47	10	,	,	PUNCT
ijassa-727	47	11	where	where	SCONJ
ijassa-727	47	12	at	at	ADP
ijassa-727	47	13	the	the	DET
ijassa-727	47	14	first	first	ADJ
ijassa-727	47	15	stage	stage	NOUN
ijassa-727	47	16	the	the	DET
ijassa-727	47	17	epistemic	epistemic	ADJ
ijassa-727	47	18	characteristic	characteristic	NOUN
ijassa-727	47	19	is	be	AUX
ijassa-727	47	20	calculated	calculate	VERB
ijassa-727	47	21	,	,	PUNCT
ijassa-727	47	22	at	at	ADP
ijassa-727	47	23	the	the	DET
ijassa-727	47	24	second	second	ADJ
ijassa-727	47	25	stage	stage	NOUN
ijassa-727	47	26	the	the	DET
ijassa-727	47	27	mathematical	mathematical	ADJ
ijassa-727	47	28	expectation	expectation	NOUN
ijassa-727	47	29	is	be	AUX
ijassa-727	47	30	always	always	ADV
ijassa-727	47	31	calculated	calculate	VERB
ijassa-727	47	32	[	[	X
ijassa-727	47	33	1	1	NUM
ijassa-727	47	34	]	]	PUNCT
ijassa-727	47	35	.	.	PUNCT
ijassa-727	48	1	thus	thus	ADV
ijassa-727	48	2	,	,	PUNCT
ijassa-727	48	3	use	use	NOUN
ijassa-727	48	4	of	of	ADP
ijassa-727	48	5	chance	chance	NOUN
ijassa-727	48	6	theory	theory	NOUN
ijassa-727	48	7	in	in	ADP
ijassa-727	48	8	solving	solve	VERB
ijassa-727	48	9	optimization	optimization	NOUN
ijassa-727	48	10	problems	problem	NOUN
ijassa-727	48	11	leads	lead	VERB
ijassa-727	48	12	to	to	ADP
ijassa-727	48	13	models	model	NOUN
ijassa-727	48	14	with	with	ADP
ijassa-727	48	15	averaging	average	VERB
ijassa-727	48	16	criteria	criterion	NOUN
ijassa-727	48	17	,	,	PUNCT
ijassa-727	48	18	i.e.	i.e.	X
ijassa-727	48	19	the	the	DET
ijassa-727	48	20	solution	solution	NOUN
ijassa-727	48	21	will	will	AUX
ijassa-727	48	22	be	be	AUX
ijassa-727	48	23	effective	effective	ADJ
ijassa-727	48	24	only	only	ADV
ijassa-727	48	25	“	"	PUNCT
ijassa-727	48	26	on	on	ADP
ijassa-727	48	27	average	average	ADJ
ijassa-727	48	28	”	"	PUNCT
ijassa-727	48	29	,	,	PUNCT
ijassa-727	48	30	while	while	SCONJ
ijassa-727	48	31	risk	risk	NOUN
ijassa-727	48	32	of	of	ADP
ijassa-727	48	33	unwanted	unwanted	ADJ
ijassa-727	48	34	solutions	solution	NOUN
ijassa-727	48	35	is	be	AUX
ijassa-727	48	36	not	not	PART
ijassa-727	48	37	considered	consider	VERB
ijassa-727	48	38	.	.	PUNCT
ijassa-727	49	1	when	when	SCONJ
ijassa-727	49	2	modeling	modeling	NOUN
ijassa-727	49	3	constraints	constraint	NOUN
ijassa-727	49	4	using	use	VERB
ijassa-727	49	5	a	a	DET
ijassa-727	49	6	chance	chance	NOUN
ijassa-727	49	7	measure	measure	NOUN
ijassa-727	49	8	,	,	PUNCT
ijassa-727	49	9	fulfillment	fulfillment	NOUN
ijassa-727	49	10	of	of	ADP
ijassa-727	49	11	constraints	constraint	NOUN
ijassa-727	49	12	is	be	AUX
ijassa-727	49	13	required	require	VERB
ijassa-727	49	14	only	only	ADV
ijassa-727	49	15	“	"	PUNCT
ijassa-727	49	16	on	on	ADP
ijassa-727	49	17	average	average	ADJ
ijassa-727	49	18	”	"	PUNCT
ijassa-727	49	19	and	and	CCONJ
ijassa-727	49	20	risk	risk	NOUN
ijassa-727	49	21	of	of	ADP
ijassa-727	49	22	not	not	PART
ijassa-727	49	23	fulfilling	fulfil	VERB
ijassa-727	49	24	the	the	DET
ijassa-727	49	25	constraints	constraint	NOUN
ijassa-727	49	26	is	be	AUX
ijassa-727	49	27	not	not	PART
ijassa-727	49	28	considered	consider	VERB
ijassa-727	49	29	[	[	X
ijassa-727	49	30	1	1	NUM
ijassa-727	49	31	]	]	PUNCT
ijassa-727	49	32	.	.	PUNCT
ijassa-727	50	1	the	the	DET
ijassa-727	50	2	paper	paper	NOUN
ijassa-727	50	3	proposes	propose	VERB
ijassa-727	50	4	the	the	DET
ijassa-727	50	5	models	model	NOUN
ijassa-727	50	6	of	of	ADP
ijassa-727	50	7	uncertain	uncertain	ADJ
ijassa-727	50	8	-	-	PUNCT
ijassa-727	50	9	random	random	ADJ
ijassa-727	50	10	programming	programming	NOUN
ijassa-727	50	11	,	,	PUNCT
ijassa-727	50	12	that	that	ADV
ijassa-727	50	13	is	is	ADV
ijassa-727	50	14	,	,	PUNCT
ijassa-727	50	15	the	the	DET
ijassa-727	50	16	optimization	optimization	NOUN
ijassa-727	50	17	models	model	NOUN
ijassa-727	50	18	with	with	ADP
ijassa-727	50	19	constraints	constraint	NOUN
ijassa-727	50	20	under	under	ADP
ijassa-727	50	21	conditions	condition	NOUN
ijassa-727	50	22	of	of	ADP
ijassa-727	50	23	parametric	parametric	ADJ
ijassa-727	50	24	mixed	mixed	ADJ
ijassa-727	50	25	uncertainty	uncertainty	NOUN
ijassa-727	50	26	within	within	ADP
ijassa-727	50	27	the	the	DET
ijassa-727	50	28	10	10	NUM
ijassa-727	50	29	g.s	g.s	PROPN
ijassa-727	50	30	.	.	PROPN
ijassa-727	50	31	veresnikov	veresnikov	PROPN
ijassa-727	50	32	,	,	PUNCT
ijassa-727	50	33	l.a	l.a	PROPN
ijassa-727	50	34	.	.	PROPN
ijassa-727	50	35	pankova	pankova	PROPN
ijassa-727	50	36	,	,	PUNCT
ijassa-727	50	37	v.a	v.a	PROPN
ijassa-727	50	38	.	.	PROPN
ijassa-727	50	39	pronina	pronina	PROPN
ijassa-727	50	40	copyright	copyright	NOUN
ijassa-727	50	41	©	©	PROPN
ijassa-727	50	42	2019	2019	NUM
ijassa-727	50	43	assa	assa	PROPN
ijassa-727	50	44	adv	adv	PROPN
ijassa-727	50	45	.	.	PUNCT
ijassa-727	51	1	in	in	ADP
ijassa-727	51	2	systems	system	NOUN
ijassa-727	51	3	science	science	NOUN
ijassa-727	51	4	and	and	CCONJ
ijassa-727	51	5	appl	appl	NOUN
ijassa-727	51	6	.	.	PUNCT
ijassa-727	52	1	(	(	PUNCT
ijassa-727	52	2	2019	2019	NUM
ijassa-727	52	3	)	)	PUNCT
ijassa-727	52	4	framework	framework	NOUN
ijassa-727	52	5	of	of	ADP
ijassa-727	52	6	the	the	DET
ijassa-727	52	7	second	second	ADJ
ijassa-727	52	8	approach	approach	NOUN
ijassa-727	52	9	,	,	PUNCT
ijassa-727	52	10	which	which	PRON
ijassa-727	52	11	makes	make	VERB
ijassa-727	52	12	it	it	PRON
ijassa-727	52	13	possible	possible	ADJ
ijassa-727	52	14	to	to	PART
ijassa-727	52	15	use	use	VERB
ijassa-727	52	16	analytical	analytical	ADJ
ijassa-727	52	17	expressions	expression	NOUN
ijassa-727	52	18	for	for	ADP
ijassa-727	52	19	sufficiently	sufficiently	ADV
ijassa-727	52	20	wide	wide	ADJ
ijassa-727	52	21	class	class	NOUN
ijassa-727	52	22	of	of	ADP
ijassa-727	52	23	functions	function	NOUN
ijassa-727	52	24	of	of	ADP
ijassa-727	52	25	uncertain	uncertain	ADJ
ijassa-727	52	26	values	value	NOUN
ijassa-727	52	27	.	.	PUNCT
ijassa-727	53	1	the	the	DET
ijassa-727	53	2	choice	choice	NOUN
ijassa-727	53	3	of	of	ADP
ijassa-727	53	4	duplicates	duplicate	NOUN
ijassa-727	53	5	of	of	ADP
ijassa-727	53	6	objective	objective	ADJ
ijassa-727	53	7	functions	function	NOUN
ijassa-727	53	8	and	and	CCONJ
ijassa-727	53	9	constraints	constraint	NOUN
ijassa-727	53	10	allows	allow	VERB
ijassa-727	53	11	to	to	PART
ijassa-727	53	12	take	take	VERB
ijassa-727	53	13	into	into	ADP
ijassa-727	53	14	account	account	NOUN
ijassa-727	53	15	risk	risk	NOUN
ijassa-727	53	16	and	and	CCONJ
ijassa-727	53	17	reliability	reliability	NOUN
ijassa-727	53	18	requirements	requirement	NOUN
ijassa-727	53	19	.	.	PUNCT
ijassa-727	54	1	section	section	NOUN
ijassa-727	54	2	2	2	NUM
ijassa-727	54	3	describes	describe	VERB
ijassa-727	54	4	the	the	DET
ijassa-727	54	5	models	model	NOUN
ijassa-727	54	6	of	of	ADP
ijassa-727	54	7	uncertain	uncertain	ADJ
ijassa-727	54	8	-	-	PUNCT
ijassa-727	54	9	random	random	ADJ
ijassa-727	54	10	programming	programming	NOUN
ijassa-727	54	11	.	.	PUNCT
ijassa-727	55	1	in	in	ADP
ijassa-727	55	2	section	section	NOUN
ijassa-727	55	3	3	3	NUM
ijassa-727	55	4	the	the	DET
ijassa-727	55	5	task	task	NOUN
ijassa-727	55	6	of	of	ADP
ijassa-727	55	7	calculating	calculate	VERB
ijassa-727	55	8	the	the	DET
ijassa-727	55	9	weight	weight	NOUN
ijassa-727	55	10	parameters	parameter	NOUN
ijassa-727	55	11	of	of	ADP
ijassa-727	55	12	an	an	DET
ijassa-727	55	13	aircraft	aircraft	NOUN
ijassa-727	55	14	under	under	ADP
ijassa-727	55	15	conditions	condition	NOUN
ijassa-727	55	16	of	of	ADP
ijassa-727	55	17	parametric	parametric	ADJ
ijassa-727	55	18	mixed	mixed	ADJ
ijassa-727	55	19	uncertainty	uncertainty	NOUN
ijassa-727	55	20	is	be	AUX
ijassa-727	55	21	formalized	formalize	VERB
ijassa-727	55	22	as	as	ADP
ijassa-727	55	23	a	a	DET
ijassa-727	55	24	multicriteria	multicriteria	NOUN
ijassa-727	55	25	optimization	optimization	NOUN
ijassa-727	55	26	problem	problem	NOUN
ijassa-727	55	27	with	with	ADP
ijassa-727	55	28	constraints	constraint	NOUN
ijassa-727	55	29	.	.	PUNCT
ijassa-727	56	1	we	we	PRON
ijassa-727	56	2	use	use	VERB
ijassa-727	56	3	two	two	NUM
ijassa-727	56	4	proposed	propose	VERB
ijassa-727	56	5	models	model	NOUN
ijassa-727	56	6	:	:	PUNCT
ijassa-727	56	7	with	with	ADP
ijassa-727	56	8	averages	average	NOUN
ijassa-727	56	9	and	and	CCONJ
ijassa-727	56	10	with	with	ADP
ijassa-727	56	11	quantiles	quantile	NOUN
ijassa-727	56	12	.	.	PUNCT
ijassa-727	57	1	the	the	DET
ijassa-727	57	2	method	method	NOUN
ijassa-727	57	3	for	for	ADP
ijassa-727	57	4	solving	solve	VERB
ijassa-727	57	5	the	the	DET
ijassa-727	57	6	task	task	NOUN
ijassa-727	57	7	of	of	ADP
ijassa-727	57	8	calculating	calculate	VERB
ijassa-727	57	9	weight	weight	NOUN
ijassa-727	57	10	parameters	parameter	NOUN
ijassa-727	57	11	and	and	CCONJ
ijassa-727	57	12	the	the	DET
ijassa-727	57	13	results	result	NOUN
ijassa-727	57	14	of	of	ADP
ijassa-727	57	15	calculations	calculation	NOUN
ijassa-727	57	16	are	be	AUX
ijassa-727	57	17	given	give	VERB
ijassa-727	57	18	.	.	PUNCT
ijassa-727	58	1	the	the	DET
ijassa-727	58	2	appendix	appendix	PROPN
ijassa-727	58	3	contains	contain	VERB
ijassa-727	58	4	definitions	definition	NOUN
ijassa-727	58	5	and	and	CCONJ
ijassa-727	58	6	statements	statement	NOUN
ijassa-727	58	7	from	from	ADP
ijassa-727	58	8	the	the	DET
ijassa-727	58	9	theory	theory	NOUN
ijassa-727	58	10	of	of	ADP
ijassa-727	58	11	uncertainty	uncertainty	NOUN
ijassa-727	58	12	and	and	CCONJ
ijassa-727	58	13	chance	chance	NOUN
ijassa-727	58	14	theory	theory	NOUN
ijassa-727	58	15	.	.	PUNCT
ijassa-727	59	1	2	2	X
ijassa-727	59	2	.	.	NUM
ijassa-727	59	3	models	model	NOUN
ijassa-727	59	4	of	of	ADP
ijassa-727	59	5	uncertain	uncertain	ADJ
ijassa-727	59	6	-	-	PUNCT
ijassa-727	59	7	random	random	ADJ
ijassa-727	59	8	programming	programming	NOUN
ijassa-727	59	9	let	let	NOUN
ijassa-727	59	10	)	)	PUNCT
ijassa-727	59	11	,	,	PUNCT
ijassa-727	59	12	(	(	PUNCT
ijassa-727	59	13			PROPN
ijassa-727	59	14	,	,	PUNCT
ijassa-727	59	15	xf	xf	PROPN
ijassa-727	59	16	be	be	AUX
ijassa-727	59	17	the	the	DET
ijassa-727	59	18	objective	objective	ADJ
ijassa-727	59	19	function	function	NOUN
ijassa-727	59	20	,	,	PUNCT
ijassa-727	59	21	x	x	X
ijassa-727	59	22	is	be	AUX
ijassa-727	59	23	solution	solution	NOUN
ijassa-727	59	24	vector	vector	NOUN
ijassa-727	59	25	,	,	PUNCT
ijassa-727	59	26	ξi	ξi	NOUN
ijassa-727	59	27	,	,	PUNCT
ijassa-727	59	28	i	i	NOUN
ijassa-727	59	29	=	=	NOUN
ijassa-727	59	30	1	1	NUM
ijassa-727	59	31	,	,	PUNCT
ijassa-727	59	32	…	…	PUNCT
ijassa-727	59	33	,	,	PUNCT
ijassa-727	59	34	n	n	CCONJ
ijassa-727	59	35	,	,	PUNCT
ijassa-727	59	36	are	be	AUX
ijassa-727	59	37	uncertain	uncertain	ADJ
ijassa-727	59	38	values	value	NOUN
ijassa-727	59	39	,	,	PUNCT
ijassa-727	59	40	ωj	ωj	ADP
ijassa-727	59	41	,	,	PUNCT
ijassa-727	59	42	j	j	PROPN
ijassa-727	60	1	=	=	SYM
ijassa-727	61	1	1	1	NUM
ijassa-727	61	2	,	,	PUNCT
ijassa-727	61	3	...	...	PUNCT
ijassa-727	61	4	,	,	PUNCT
ijassa-727	61	5	m	m	VERB
ijassa-727	61	6	,	,	PUNCT
ijassa-727	61	7	are	be	AUX
ijassa-727	61	8	random	random	ADJ
ijassa-727	61	9	values	value	NOUN
ijassa-727	61	10	that	that	PRON
ijassa-727	61	11	is	be	AUX
ijassa-727	61	12	,	,	PUNCT
ijassa-727	61	13	)	)	PUNCT
ijassa-727	61	14	,	,	PUNCT
ijassa-727	61	15	(	(	PUNCT
ijassa-727	61	16			PROPN
ijassa-727	61	17	,	,	PUNCT
ijassa-727	61	18	xf	xf	PROPN
ijassa-727	61	19	is	be	AUX
ijassa-727	61	20	uncertain	uncertain	ADJ
ijassa-727	61	21	-	-	PUNCT
ijassa-727	61	22	random	random	ADJ
ijassa-727	61	23	value	value	NOUN
ijassa-727	61	24	for	for	ADP
ijassa-727	61	25	each	each	DET
ijassa-727	61	26	x	x	X
ijassa-727	61	27	.	.	PUNCT
ijassa-727	62	1	we	we	PRON
ijassa-727	62	2	interpret	interpret	VERB
ijassa-727	62	3	)	)	PUNCT
ijassa-727	62	4	,	,	PUNCT
ijassa-727	62	5	x(f	x(f	PROPN
ijassa-727	62	6			PROPN
ijassa-727	62	7	,	,	PUNCT
ijassa-727	62	8	as	as	ADP
ijassa-727	62	9	the	the	DET
ijassa-727	62	10	uncertain	uncertain	ADJ
ijassa-727	62	11	value	value	NOUN
ijassa-727	62	12	parameterized	parameterize	VERB
ijassa-727	62	13	by	by	ADP
ijassa-727	62	14	the	the	DET
ijassa-727	62	15	random	random	ADJ
ijassa-727	62	16	values	value	NOUN
ijassa-727	62	17	in	in	ADP
ijassa-727	62	18	the	the	DET
ijassa-727	62	19	framework	framework	NOUN
ijassa-727	62	20	of	of	ADP
ijassa-727	62	21	second	second	ADJ
ijassa-727	62	22	approach	approach	NOUN
ijassa-727	62	23	.	.	PUNCT
ijassa-727	63	1	we	we	PRON
ijassa-727	63	2	determine	determine	VERB
ijassa-727	63	3	the	the	DET
ijassa-727	63	4	characteristic	characteristic	NOUN
ijassa-727	63	5	of	of	ADP
ijassa-727	63	6	the	the	DET
ijassa-727	63	7	function	function	NOUN
ijassa-727	63	8	)	)	PUNCT
ijassa-727	63	9	,	,	PUNCT
ijassa-727	63	10	x(f	x(f	PROPN
ijassa-727	63	11			PROPN
ijassa-727	63	12	,	,	PUNCT
ijassa-727	63	13	in	in	ADP
ijassa-727	63	14	two	two	NUM
ijassa-727	63	15	stages	stage	NOUN
ijassa-727	63	16	.	.	PUNCT
ijassa-727	64	1	first	first	ADV
ijassa-727	64	2	,	,	PUNCT
ijassa-727	64	3	we	we	PRON
ijassa-727	64	4	calculate	calculate	VERB
ijassa-727	64	5	the	the	DET
ijassa-727	64	6	characteristic	characteristic	NOUN
ijassa-727	64	7	of	of	ADP
ijassa-727	64	8	uncertain	uncertain	ADJ
ijassa-727	64	9	function	function	NOUN
ijassa-727	64	10	)	)	PUNCT
ijassa-727	64	11	,	,	PUNCT
ijassa-727	64	12	x(f	x(f	PROPN
ijassa-727	64	13			PROPN
ijassa-727	64	14	,	,	PUNCT
ijassa-727	64	15	,	,	PUNCT
ijassa-727	64	16	where	where	SCONJ
ijassa-727	64	17	random	random	ADJ
ijassa-727	64	18	values	value	NOUN
ijassa-727	64	19	are	be	AUX
ijassa-727	64	20	parameters	parameter	NOUN
ijassa-727	64	21	.	.	PUNCT
ijassa-727	65	1	then	then	ADV
ijassa-727	65	2	,	,	PUNCT
ijassa-727	65	3	we	we	PRON
ijassa-727	65	4	calculate	calculate	VERB
ijassa-727	65	5	the	the	DET
ijassa-727	65	6	characteristic	characteristic	NOUN
ijassa-727	65	7	of	of	ADP
ijassa-727	65	8	this	this	DET
ijassa-727	65	9	random	random	ADJ
ijassa-727	65	10	value	value	NOUN
ijassa-727	65	11	,	,	PUNCT
ijassa-727	65	12	which	which	PRON
ijassa-727	65	13	is	be	AUX
ijassa-727	65	14	characteristic	characteristic	ADJ
ijassa-727	65	15	of	of	ADP
ijassa-727	65	16	the	the	DET
ijassa-727	65	17	function	function	NOUN
ijassa-727	65	18	)	)	PUNCT
ijassa-727	65	19	,	,	PUNCT
ijassa-727	65	20	x(f	x(f	PROPN
ijassa-727	65	21			PROPN
ijassa-727	65	22	,	,	PUNCT
ijassa-727	65	23	with	with	ADP
ijassa-727	65	24	mixed	mixed	ADJ
ijassa-727	65	25	uncertainty	uncertainty	NOUN
ijassa-727	65	26	.	.	PUNCT
ijassa-727	66	1	mathematical	mathematical	ADJ
ijassa-727	66	2	expectation	expectation	NOUN
ijassa-727	66	3	/	/	SYM
ijassa-727	66	4	expected	expect	VERB
ijassa-727	66	5	value	value	NOUN
ijassa-727	66	6	,	,	PUNCT
ijassa-727	66	7	quantile	quantile	NOUN
ijassa-727	66	8	(	(	PUNCT
ijassa-727	66	9	definition	definition	NOUN
ijassa-727	66	10	9	9	NUM
ijassa-727	66	11	,	,	PUNCT
ijassa-727	66	12	appendix	appendix	NOUN
ijassa-727	66	13	)	)	PUNCT
ijassa-727	66	14	,	,	PUNCT
ijassa-727	66	15	variance	variance	NOUN
ijassa-727	66	16	,	,	PUNCT
ijassa-727	66	17	probability/	probability/	NUM
ijassa-727	66	18	belief	belief	NOUN
ijassa-727	66	19	degree	degree	NOUN
ijassa-727	66	20	of	of	ADP
ijassa-727	66	21	non	non	NOUN
ijassa-727	66	22	-	-	NOUN
ijassa-727	66	23	exceedance	exceedance	NOUN
ijassa-727	66	24	of	of	ADP
ijassa-727	66	25	a	a	DET
ijassa-727	66	26	given	give	VERB
ijassa-727	66	27	value	value	NOUN
ijassa-727	66	28	by	by	ADP
ijassa-727	66	29	the	the	DET
ijassa-727	66	30	function	function	NOUN
ijassa-727	66	31	can	can	AUX
ijassa-727	66	32	be	be	AUX
ijassa-727	66	33	chosen	choose	VERB
ijassa-727	66	34	as	as	ADP
ijassa-727	66	35	characteristics	characteristic	NOUN
ijassa-727	66	36	of	of	ADP
ijassa-727	66	37	random	random	ADJ
ijassa-727	66	38	and	and	CCONJ
ijassa-727	66	39	uncertain	uncertain	ADJ
ijassa-727	66	40	values	value	NOUN
ijassa-727	66	41	.	.	PUNCT
ijassa-727	67	1	using	use	VERB
ijassa-727	67	2	combination	combination	NOUN
ijassa-727	67	3	of	of	ADP
ijassa-727	67	4	characteristics	characteristic	NOUN
ijassa-727	67	5	,	,	PUNCT
ijassa-727	67	6	you	you	PRON
ijassa-727	67	7	can	can	AUX
ijassa-727	67	8	build	build	VERB
ijassa-727	67	9	different	different	ADJ
ijassa-727	67	10	optimization	optimization	NOUN
ijassa-727	67	11	models	model	NOUN
ijassa-727	67	12	.	.	PUNCT
ijassa-727	68	1	the	the	DET
ijassa-727	68	2	choice	choice	NOUN
ijassa-727	68	3	of	of	ADP
ijassa-727	68	4	the	the	DET
ijassa-727	68	5	optimization	optimization	NOUN
ijassa-727	68	6	criterion	criterion	NOUN
ijassa-727	68	7	depends	depend	VERB
ijassa-727	68	8	on	on	ADP
ijassa-727	68	9	the	the	DET
ijassa-727	68	10	specific	specific	ADJ
ijassa-727	68	11	task	task	NOUN
ijassa-727	68	12	,	,	PUNCT
ijassa-727	68	13	reliability	reliability	NOUN
ijassa-727	68	14	requirements	requirement	NOUN
ijassa-727	68	15	and	and	CCONJ
ijassa-727	68	16	is	be	AUX
ijassa-727	68	17	the	the	DET
ijassa-727	68	18	prerogative	prerogative	NOUN
ijassa-727	68	19	of	of	ADP
ijassa-727	68	20	the	the	DET
ijassa-727	68	21	decision	decision	NOUN
ijassa-727	68	22	maker	maker	NOUN
ijassa-727	68	23	.	.	PUNCT
ijassa-727	69	1	the	the	DET
ijassa-727	69	2	optimization	optimization	NOUN
ijassa-727	69	3	model	model	NOUN
ijassa-727	69	4	with	with	ADP
ijassa-727	69	5	mathematical	mathematical	ADJ
ijassa-727	69	6	expectation	expectation	NOUN
ijassa-727	69	7	/	/	SYM
ijassa-727	69	8	expected	expect	VERB
ijassa-727	69	9	value	value	NOUN
ijassa-727	69	10	criteria	criterion	NOUN
ijassa-727	69	11	,	,	PUNCT
ijassa-727	69	12	averaging	average	VERB
ijassa-727	69	13	the	the	DET
ijassa-727	69	14	objective	objective	ADJ
ijassa-727	69	15	function	function	NOUN
ijassa-727	69	16	,	,	PUNCT
ijassa-727	69	17	gives	give	VERB
ijassa-727	69	18	an	an	DET
ijassa-727	69	19	effective	effective	ADJ
ijassa-727	69	20	solution	solution	NOUN
ijassa-727	69	21	“	"	PUNCT
ijassa-727	69	22	on	on	ADP
ijassa-727	69	23	average	average	ADJ
ijassa-727	69	24	”	"	PUNCT
ijassa-727	69	25	,	,	PUNCT
ijassa-727	69	26	while	while	SCONJ
ijassa-727	69	27	risk	risk	NOUN
ijassa-727	69	28	or	or	CCONJ
ijassa-727	69	29	reliability	reliability	NOUN
ijassa-727	69	30	is	be	AUX
ijassa-727	69	31	not	not	PART
ijassa-727	69	32	taken	take	VERB
ijassa-727	69	33	into	into	ADP
ijassa-727	69	34	account	account	NOUN
ijassa-727	69	35	.	.	PUNCT
ijassa-727	70	1	in	in	ADP
ijassa-727	70	2	robust	robust	ADJ
ijassa-727	70	3	optimization	optimization	NOUN
ijassa-727	70	4	,	,	PUNCT
ijassa-727	70	5	when	when	SCONJ
ijassa-727	70	6	it	it	PRON
ijassa-727	70	7	is	be	AUX
ijassa-727	70	8	necessary	necessary	ADJ
ijassa-727	70	9	to	to	PART
ijassa-727	70	10	ensure	ensure	VERB
ijassa-727	70	11	the	the	DET
ijassa-727	70	12	least	least	ADJ
ijassa-727	70	13	variability	variability	NOUN
ijassa-727	70	14	of	of	ADP
ijassa-727	70	15	the	the	DET
ijassa-727	70	16	objective	objective	ADJ
ijassa-727	70	17	function	function	NOUN
ijassa-727	70	18	,	,	PUNCT
ijassa-727	70	19	the	the	DET
ijassa-727	70	20	variance	variance	NOUN
ijassa-727	70	21	is	be	AUX
ijassa-727	70	22	used	use	VERB
ijassa-727	70	23	.	.	PUNCT
ijassa-727	71	1	in	in	ADP
ijassa-727	71	2	tasks	task	NOUN
ijassa-727	71	3	of	of	ADP
ijassa-727	71	4	optimal	optimal	ADJ
ijassa-727	71	5	control	control	NOUN
ijassa-727	71	6	and	and	CCONJ
ijassa-727	71	7	design	design	NOUN
ijassa-727	71	8	of	of	ADP
ijassa-727	71	9	aircraft	aircraft	NOUN
ijassa-727	71	10	under	under	ADP
ijassa-727	71	11	conditions	condition	NOUN
ijassa-727	71	12	of	of	ADP
ijassa-727	71	13	aleatory	aleatory	ADJ
ijassa-727	71	14	uncertainty	uncertainty	NOUN
ijassa-727	71	15	,	,	PUNCT
ijassa-727	71	16	quantile	quantile	NOUN
ijassa-727	71	17	and	and	CCONJ
ijassa-727	71	18	the	the	DET
ijassa-727	71	19	probability	probability	NOUN
ijassa-727	71	20	of	of	ADP
ijassa-727	71	21	not	not	PART
ijassa-727	71	22	exceeding	exceed	VERB
ijassa-727	71	23	(	(	PUNCT
ijassa-727	71	24	while	while	SCONJ
ijassa-727	71	25	minimizing	minimize	VERB
ijassa-727	71	26	)	)	PUNCT
ijassa-727	71	27	the	the	DET
ijassa-727	71	28	objective	objective	ADJ
ijassa-727	71	29	function	function	NOUN
ijassa-727	71	30	of	of	ADP
ijassa-727	71	31	a	a	DET
ijassa-727	71	32	given	give	VERB
ijassa-727	71	33	threshold	threshold	NOUN
ijassa-727	71	34	value	value	NOUN
ijassa-727	71	35	have	have	AUX
ijassa-727	71	36	become	become	VERB
ijassa-727	71	37	widespread	widespread	ADJ
ijassa-727	71	38	,	,	PUNCT
ijassa-727	71	39	since	since	SCONJ
ijassa-727	71	40	they	they	PRON
ijassa-727	71	41	are	be	AUX
ijassa-727	71	42	aimed	aim	VERB
ijassa-727	71	43	at	at	ADP
ijassa-727	71	44	making	make	VERB
ijassa-727	71	45	optimal	optimal	ADJ
ijassa-727	71	46	decisions	decision	NOUN
ijassa-727	71	47	based	base	VERB
ijassa-727	71	48	on	on	ADP
ijassa-727	71	49	risk	risk	NOUN
ijassa-727	71	50	or	or	CCONJ
ijassa-727	71	51	reliability	reliability	NOUN
ijassa-727	71	52	requirements	requirement	NOUN
ijassa-727	71	53	.	.	PUNCT
ijassa-727	72	1	we	we	PRON
ijassa-727	72	2	consider	consider	VERB
ijassa-727	72	3	some	some	DET
ijassa-727	72	4	models	model	NOUN
ijassa-727	72	5	of	of	ADP
ijassa-727	72	6	uncertain	uncertain	ADJ
ijassa-727	72	7	-	-	PUNCT
ijassa-727	72	8	random	random	ADJ
ijassa-727	72	9	programming	programming	NOUN
ijassa-727	72	10	and	and	CCONJ
ijassa-727	72	11	reduce	reduce	VERB
ijassa-727	72	12	them	they	PRON
ijassa-727	72	13	to	to	ADP
ijassa-727	72	14	mathematical	mathematical	ADJ
ijassa-727	72	15	or	or	CCONJ
ijassa-727	72	16	stochastic	stochastic	ADJ
ijassa-727	72	17	programming	programming	NOUN
ijassa-727	72	18	models	model	NOUN
ijassa-727	72	19	.	.	PUNCT
ijassa-727	73	1	let	let	VERB
ijassa-727	73	2	)	)	PUNCT
ijassa-727	73	3	x(f	x(f	PROPN
ijassa-727	73	4			PROPN
ijassa-727	73	5	,	,	PUNCT
ijassa-727	73	6	,	,	PUNCT
ijassa-727	73	7	be	be	AUX
ijassa-727	73	8	the	the	DET
ijassa-727	73	9	objective	objective	ADJ
ijassa-727	73	10	function	function	NOUN
ijassa-727	73	11	,	,	PUNCT
ijassa-727	73	12	x	x	PRON
ijassa-727	73	13	be	be	AUX
ijassa-727	73	14	the	the	DET
ijassa-727	73	15	solution	solution	NOUN
ijassa-727	73	16	vector	vector	NOUN
ijassa-727	73	17	,	,	PUNCT
ijassa-727	73	18	ξ1	ξ1	NOUN
ijassa-727	73	19	,	,	PUNCT
ijassa-727	73	20	ξ2	ξ2	NOUN
ijassa-727	73	21	,	,	PUNCT
ijassa-727	73	22	…	…	PUNCT
ijassa-727	73	23	,	,	PUNCT
ijassa-727	73	24	ξn	ξn	PROPN
ijassa-727	73	25	be	be	AUX
ijassa-727	73	26	independent	independent	ADJ
ijassa-727	73	27	uncertain	uncertain	ADJ
ijassa-727	73	28	values	value	NOUN
ijassa-727	73	29	with	with	ADP
ijassa-727	73	30	uncertainty	uncertainty	NOUN
ijassa-727	73	31	distribution	distribution	NOUN
ijassa-727	73	32	functions	function	NOUN
ijassa-727	73	33	φ1	φ1	PROPN
ijassa-727	73	34	,	,	PUNCT
ijassa-727	73	35	φ2	φ2	PROPN
ijassa-727	73	36	,	,	PUNCT
ijassa-727	73	37	…	…	PUNCT
ijassa-727	73	38	,	,	PUNCT
ijassa-727	73	39	φn	φn	INTJ
ijassa-727	73	40	,	,	PUNCT
ijassa-727	73	41	having	have	VERB
ijassa-727	73	42	inverse	inverse	ADJ
ijassa-727	73	43	distribution	distribution	NOUN
ijassa-727	73	44	functions	function	NOUN
ijassa-727	73	45	,	,	PUNCT
ijassa-727	73	46	ω1	ω1	PROPN
ijassa-727	73	47	,	,	PUNCT
ijassa-727	73	48	…	…	PUNCT
ijassa-727	73	49	,	,	PUNCT
ijassa-727	73	50	ωm	ωm	X
ijassa-727	73	51	be	be	AUX
ijassa-727	73	52	independent	independent	ADJ
ijassa-727	73	53	random	random	ADJ
ijassa-727	73	54	values	value	NOUN
ijassa-727	73	55	with	with	ADP
ijassa-727	73	56	probability	probability	NOUN
ijassa-727	73	57	distribution	distribution	NOUN
ijassa-727	73	58	functions	function	NOUN
ijassa-727	73	59	ψ1	ψ1	NOUN
ijassa-727	73	60	,	,	PUNCT
ijassa-727	73	61	ψ2	ψ2	NOUN
ijassa-727	73	62	,	,	PUNCT
ijassa-727	73	63	…	…	PUNCT
ijassa-727	73	64	,	,	PUNCT
ijassa-727	73	65	ψm	ψm	PROPN
ijassa-727	73	66	.	.	PUNCT
ijassa-727	74	1	let	let	VERB
ijassa-727	74	2	)	)	PUNCT
ijassa-727	74	3	x(f	x(f	PROPN
ijassa-727	74	4			PROPN
ijassa-727	74	5	,	,	PUNCT
ijassa-727	74	6	,	,	PUNCT
ijassa-727	74	7	be	be	AUX
ijassa-727	74	8	a	a	DET
ijassa-727	74	9	continuous	continuous	ADJ
ijassa-727	74	10	strictly	strictly	ADV
ijassa-727	74	11	increasing	increase	VERB
ijassa-727	74	12	function	function	NOUN
ijassa-727	74	13	with	with	ADP
ijassa-727	74	14	respect	respect	NOUN
ijassa-727	74	15	to	to	ADP
ijassa-727	74	16	ξ1	ξ1	NOUN
ijassa-727	74	17	,	,	PUNCT
ijassa-727	74	18	…	…	PUNCT
ijassa-727	74	19	,	,	PUNCT
ijassa-727	74	20	ξk	ξk	ADV
ijassa-727	74	21	and	and	CCONJ
ijassa-727	74	22	a	a	DET
ijassa-727	74	23	strictly	strictly	ADV
ijassa-727	74	24	decreasing	decrease	VERB
ijassa-727	74	25	function	function	NOUN
ijassa-727	74	26	with	with	ADP
ijassa-727	74	27	respect	respect	NOUN
ijassa-727	74	28	to	to	ADP
ijassa-727	74	29	ξk+1	ξk+1	NUM
ijassa-727	74	30	,	,	PUNCT
ijassa-727	74	31	…	…	PUNCT
ijassa-727	74	32	,	,	PUNCT
ijassa-727	74	33	ξn	ξn	PROPN
ijassa-727	74	34	.	.	PROPN
ijassa-727	75	1	for	for	ADP
ijassa-727	75	2	the	the	DET
ijassa-727	75	3	model	model	NOUN
ijassa-727	75	4	1	1	NUM
ijassa-727	75	5	(	(	PUNCT
ijassa-727	75	6	ee	ee	PROPN
ijassa-727	75	7	)	)	PUNCT
ijassa-727	75	8	,	,	PUNCT
ijassa-727	75	9	we	we	PRON
ijassa-727	75	10	will	will	AUX
ijassa-727	75	11	select	select	VERB
ijassa-727	75	12	expected	expect	VERB
ijassa-727	75	13	value	value	NOUN
ijassa-727	75	14	em	em	PRON
ijassa-727	75	15	as	as	ADP
ijassa-727	75	16	characteristic	characteristic	ADJ
ijassa-727	75	17	at	at	ADP
ijassa-727	75	18	first	first	ADJ
ijassa-727	75	19	stage	stage	NOUN
ijassa-727	75	20	,	,	PUNCT
ijassa-727	75	21	and	and	CCONJ
ijassa-727	75	22	mathematical	mathematical	ADJ
ijassa-727	75	23	expectation	expectation	NOUN
ijassa-727	75	24	as	as	ADP
ijassa-727	75	25	characteristic	characteristic	ADJ
ijassa-727	75	26	at	at	ADP
ijassa-727	75	27	second	second	ADJ
ijassa-727	75	28	stage	stage	NOUN
ijassa-727	75	29	.	.	PUNCT
ijassa-727	76	1	then	then	ADV
ijassa-727	76	2	the	the	DET
ijassa-727	76	3	model	model	NOUN
ijassa-727	76	4	1	1	NUM
ijassa-727	76	5	is	be	AUX
ijassa-727	76	6	:	:	PUNCT
ijassa-727	76	7	)	)	PUNCT
ijassa-727	76	8	)	)	PUNCT
ijassa-727	76	9	)	)	PUNCT
ijassa-727	76	10	.(((min	.(((min	PUNCT
ijassa-727	77	1			PROPN
ijassa-727	77	2	,	,	PUNCT
ijassa-727	77	3	,	,	PUNCT
ijassa-727	77	4	xfee	xfee	PROPN
ijassa-727	77	5	mp	mp	PROPN
ijassa-727	77	6	x	x	PUNCT
ijassa-727	77	7	expected	expect	VERB
ijassa-727	77	8	value	value	NOUN
ijassa-727	77	9	of	of	ADP
ijassa-727	77	10	function	function	NOUN
ijassa-727	77	11	)	)	PUNCT
ijassa-727	78	1	x(f	x(f	PROPN
ijassa-727	78	2			PROPN
ijassa-727	78	3	,	,	PUNCT
ijassa-727	78	4	,	,	PUNCT
ijassa-727	78	5	where	where	SCONJ
ijassa-727	78	6	random	random	ADJ
ijassa-727	78	7	values	value	NOUN
ijassa-727	78	8			X
ijassa-727	78	9	are	be	AUX
ijassa-727	78	10	parameters	parameter	NOUN
ijassa-727	78	11	is	be	AUX
ijassa-727	78	12	(	(	PUNCT
ijassa-727	78	13	theorem	theorem	ADJ
ijassa-727	78	14	2	2	NUM
ijassa-727	78	15	,	,	PUNCT
ijassa-727	78	16	appendix	appendix	NOUN
ijassa-727	78	17	):	):	PUNCT
ijassa-727	78	18			NUM
ijassa-727	78	19	dxf,,xfe	dxf,,xfe	NOUN
ijassa-727	78	20	nkk	nkk	X
ijassa-727	78	21	m	m	PROPN
ijassa-727	78	22	)	)	PUNCT
ijassa-727	78	23	)	)	PUNCT
ijassa-727	78	24	,	,	PUNCT
ijassa-727	78	25	1(),	1(),	NUM
ijassa-727	78	26	...	...	PUNCT
ijassa-727	78	27	,1	,1	NOUN
ijassa-727	78	28	(	(	PUNCT
ijassa-727	78	29	)	)	PUNCT
ijassa-727	78	30	,	,	PUNCT
ijassa-727	78	31	(	(	PUNCT
ijassa-727	78	32	)	)	PUNCT
ijassa-727	78	33	,	,	PUNCT
ijassa-727	78	34	...	...	PUNCT
ijassa-727	78	35	,	,	PUNCT
ijassa-727	78	36	(	(	PUNCT
ijassa-727	78	37	,	,	PUNCT
ijassa-727	78	38	(	(	PUNCT
ijassa-727	78	39	)	)	PUNCT
ijassa-727	78	40	)	)	PUNCT
ijassa-727	78	41	(	(	PUNCT
ijassa-727	78	42	(	(	PUNCT
ijassa-727	78	43	1	1	NUM
ijassa-727	78	44	0	0	NUM
ijassa-727	78	45	11	11	NUM
ijassa-727	78	46	1	1	NUM
ijassa-727	78	47	11	11	NUM
ijassa-727	78	48	1	1	NUM
ijassa-727	78	49			PUNCT
ijassa-727	78	50			NUM
ijassa-727	78	51			X
ijassa-727	78	52			NUM
ijassa-727	78	53	.	.	PUNCT
ijassa-727	79	1	(	(	PUNCT
ijassa-727	79	2	1	1	X
ijassa-727	79	3	)	)	PUNCT
ijassa-727	79	4	models	model	NOUN
ijassa-727	79	5	of	of	ADP
ijassa-727	79	6	uncertain	uncertain	ADJ
ijassa-727	79	7	-	-	PUNCT
ijassa-727	79	8	random	random	ADJ
ijassa-727	79	9	programming	programming	NOUN
ijassa-727	79	10	11	11	NUM
ijassa-727	79	11	copyright	copyright	NOUN
ijassa-727	79	12	©	©	PROPN
ijassa-727	79	13	2019	2019	NUM
ijassa-727	79	14	assa	assa	NOUN
ijassa-727	79	15	.	.	PUNCT
ijassa-727	80	1	adv	adv	PROPN
ijassa-727	80	2	.	.	PUNCT
ijassa-727	81	1	in	in	ADP
ijassa-727	81	2	systems	system	NOUN
ijassa-727	81	3	science	science	NOUN
ijassa-727	81	4	and	and	CCONJ
ijassa-727	81	5	appl	appl	NOUN
ijassa-727	81	6	.	.	PUNCT
ijassa-727	82	1	(	(	PUNCT
ijassa-727	82	2	2019	2019	NUM
ijassa-727	82	3	)	)	PUNCT
ijassa-727	82	4	mathematical	mathematical	ADJ
ijassa-727	82	5	expectation	expectation	NOUN
ijassa-727	82	6	of	of	ADP
ijassa-727	82	7	random	random	ADJ
ijassa-727	82	8	value	value	NOUN
ijassa-727	82	9	)	)	PUNCT
ijassa-727	82	10	)	)	PUNCT
ijassa-727	83	1	x(f(e	x(f(e	PROPN
ijassa-727	83	2	m	m	PROPN
ijassa-727	83	3			PROPN
ijassa-727	83	4	,	,	PUNCT
ijassa-727	83	5	,	,	PUNCT
ijassa-727	83	6	is	be	AUX
ijassa-727	83	7	:	:	PUNCT
ijassa-727	83	8	....	....	PUNCT
ijassa-727	83	9	)	)	PUNCT
ijassa-727	83	10	)	)	PUNCT
ijassa-727	83	11	,	,	PUNCT
ijassa-727	83	12	1(),	1(),	NUM
ijassa-727	83	13	...	...	PUNCT
ijassa-727	83	14	,1	,1	NOUN
ijassa-727	83	15	(	(	PUNCT
ijassa-727	83	16	)	)	PUNCT
ijassa-727	83	17	,	,	PUNCT
ijassa-727	83	18	(	(	PUNCT
ijassa-727	83	19	)	)	PUNCT
ijassa-727	83	20	,	,	PUNCT
ijassa-727	83	21	...	...	PUNCT
ijassa-727	83	22	,	,	PUNCT
ijassa-727	83	23	(	(	PUNCT
ijassa-727	83	24	,	,	PUNCT
ijassa-727	83	25	(	(	PUNCT
ijassa-727	83	26	)	)	PUNCT
ijassa-727	83	27	)	)	PUNCT
ijassa-727	83	28	)	)	PUNCT
ijassa-727	84	1	(	(	PUNCT
ijassa-727	84	2	(	(	PUNCT
ijassa-727	84	3	(	(	PUNCT
ijassa-727	84	4	1	1	NUM
ijassa-727	84	5	1	1	NUM
ijassa-727	84	6	0	0	NUM
ijassa-727	84	7	11	11	NUM
ijassa-727	84	8	1	1	NUM
ijassa-727	84	9	11	11	NUM
ijassa-727	84	10	1	1	NUM
ijassa-727	84	11	m	m	NOUN
ijassa-727	84	12	r	r	NOUN
ijassa-727	84	13	nkk	nkk	NOUN
ijassa-727	84	14	mp	mp	PROPN
ijassa-727	84	15	dddxf	dddxf	NOUN
ijassa-727	84	16	,	,	PUNCT
ijassa-727	84	17	,	,	PUNCT
ijassa-727	84	18	xfee	xfee	PROPN
ijassa-727	84	19	m	m	PROPN
ijassa-727	84	20			PROPN
ijassa-727	84	21			PROPN
ijassa-727	84	22			X
ijassa-727	84	23			PROPN
ijassa-727	84	24			SYM
ijassa-727	84	25			PROPN
ijassa-727	84	26			PROPN
ijassa-727	84	27			X
ijassa-727	84	28			NUM
ijassa-727	84	29	the	the	DET
ijassa-727	84	30	model	model	NOUN
ijassa-727	84	31	1	1	NUM
ijassa-727	84	32	has	have	VERB
ijassa-727	84	33	the	the	DET
ijassa-727	84	34	form	form	NOUN
ijassa-727	84	35	:	:	PUNCT
ijassa-727	84	36	....	....	PUNCT
ijassa-727	84	37	)	)	PUNCT
ijassa-727	84	38	)	)	PUNCT
ijassa-727	84	39	,	,	PUNCT
ijassa-727	84	40	1(),	1(),	NUM
ijassa-727	84	41	...	...	PUNCT
ijassa-727	84	42	,1(),(),	,1(),(),	PUNCT
ijassa-727	84	43	...	...	PUNCT
ijassa-727	84	44	,(,(min	,(,(min	PUNCT
ijassa-727	85	1	1	1	NUM
ijassa-727	85	2	1	1	NUM
ijassa-727	85	3	0	0	NUM
ijassa-727	85	4	11	11	NUM
ijassa-727	85	5	1	1	NUM
ijassa-727	85	6	11	11	NUM
ijassa-727	85	7	1	1	NUM
ijassa-727	85	8	m	m	NOUN
ijassa-727	85	9	r	r	NOUN
ijassa-727	85	10	nkk	nkk	NOUN
ijassa-727	85	11	x	x	X
ijassa-727	85	12	dddxf	dddxf	PROPN
ijassa-727	85	13	m	m	VERB
ijassa-727	85	14			NOUN
ijassa-727	85	15			PUNCT
ijassa-727	85	16			PUNCT
ijassa-727	85	17			PROPN
ijassa-727	85	18			X
ijassa-727	85	19			PUNCT
ijassa-727	85	20	thus	thus	ADV
ijassa-727	85	21	,	,	PUNCT
ijassa-727	85	22	we	we	PRON
ijassa-727	85	23	have	have	AUX
ijassa-727	85	24	reduced	reduce	VERB
ijassa-727	85	25	the	the	DET
ijassa-727	85	26	model	model	NOUN
ijassa-727	85	27	1	1	NUM
ijassa-727	85	28	to	to	ADP
ijassa-727	85	29	a	a	DET
ijassa-727	85	30	deterministic	deterministic	ADJ
ijassa-727	85	31	model	model	NOUN
ijassa-727	85	32	of	of	ADP
ijassa-727	85	33	mathematical	mathematical	ADJ
ijassa-727	85	34	programming	programming	NOUN
ijassa-727	85	35	.	.	PUNCT
ijassa-727	86	1	for	for	ADP
ijassa-727	86	2	the	the	DET
ijassa-727	86	3	model	model	NOUN
ijassa-727	86	4	2	2	NUM
ijassa-727	86	5	(	(	PUNCT
ijassa-727	86	6	qe	qe	PROPN
ijassa-727	86	7	)	)	PUNCT
ijassa-727	86	8	,	,	PUNCT
ijassa-727	86	9	we	we	PRON
ijassa-727	86	10	use	use	VERB
ijassa-727	86	11	expected	expect	VERB
ijassa-727	86	12	value	value	NOUN
ijassa-727	86	13	as	as	ADP
ijassa-727	86	14	characteristic	characteristic	ADJ
ijassa-727	86	15	at	at	ADP
ijassa-727	86	16	first	first	ADJ
ijassa-727	86	17	stage	stage	NOUN
ijassa-727	86	18	,	,	PUNCT
ijassa-727	86	19	and	and	CCONJ
ijassa-727	86	20	quantile	quantile	NOUN
ijassa-727	86	21	of	of	ADP
ijassa-727	86	22	the	the	DET
ijassa-727	86	23	random	random	ADJ
ijassa-727	86	24	variable	variable	NOUN
ijassa-727	86	25	as	as	ADP
ijassa-727	86	26	characteristic	characteristic	ADJ
ijassa-727	86	27	at	at	ADP
ijassa-727	86	28	second	second	ADJ
ijassa-727	86	29	stage	stage	NOUN
ijassa-727	86	30	.	.	PUNCT
ijassa-727	87	1	then	then	ADV
ijassa-727	87	2	the	the	DET
ijassa-727	87	3	model	model	NOUN
ijassa-727	87	4	2	2	NUM
ijassa-727	87	5	has	have	VERB
ijassa-727	87	6	the	the	DET
ijassa-727	87	7	form	form	NOUN
ijassa-727	87	8	:	:	PUNCT
ijassa-727	87	9	,	,	PUNCT
ijassa-727	87	10	10.5	10.5	NUM
ijassa-727	87	11	,	,	PUNCT
ijassa-727	87	12	)	)	PUNCT
ijassa-727	87	13	)	)	PUNCT
ijassa-727	87	14	)	)	PUNCT
ijassa-727	87	15	,	,	PUNCT
ijassa-727	87	16	,	,	PUNCT
ijassa-727	87	17	(	(	PUNCT
ijassa-727	87	18	(	(	PUNCT
ijassa-727	87	19	(	(	PUNCT
ijassa-727	87	20	where	where	SCONJ
ijassa-727	87	21	,	,	PUNCT
ijassa-727	87	22	min	min	PROPN
ijassa-727	87	23			PROPN
ijassa-727	87	24			PROPN
ijassa-727	87	25	rxfep	rxfep	VERB
ijassa-727	87	26	r	r	NOUN
ijassa-727	87	27	m	m	VERB
ijassa-727	87	28	x	x	PUNCT
ijassa-727	87	29	or	or	CCONJ
ijassa-727	87	30	(	(	PUNCT
ijassa-727	87	31	according	accord	VERB
ijassa-727	87	32	to	to	ADP
ijassa-727	87	33	the	the	DET
ijassa-727	87	34	formula	formula	NOUN
ijassa-727	87	35	(	(	PUNCT
ijassa-727	87	36	1	1	NUM
ijassa-727	87	37	)	)	PUNCT
ijassa-727	87	38	):	):	PUNCT
ijassa-727	87	39	.10,)))),1(),	.10,)))),1(),	PRON
ijassa-727	87	40	...	...	PUNCT
ijassa-727	87	41	,1	,1	PROPN
ijassa-727	87	42	(	(	PUNCT
ijassa-727	87	43	)	)	PUNCT
ijassa-727	87	44	,	,	PUNCT
ijassa-727	87	45	(	(	PUNCT
ijassa-727	87	46	)	)	PUNCT
ijassa-727	87	47	,	,	PUNCT
ijassa-727	87	48	...	...	PUNCT
ijassa-727	87	49	,	,	PUNCT
ijassa-727	87	50	(	(	PUNCT
ijassa-727	87	51	,	,	PUNCT
ijassa-727	87	52	(	(	PUNCT
ijassa-727	87	53	(	(	PUNCT
ijassa-727	87	54	(	(	PUNCT
ijassa-727	87	55	where	where	SCONJ
ijassa-727	87	56	,	,	PUNCT
ijassa-727	87	57	min	min	NOUN
ijassa-727	87	58	1	1	NUM
ijassa-727	87	59	0	0	NUM
ijassa-727	87	60	11	11	NUM
ijassa-727	87	61	1	1	NUM
ijassa-727	87	62	1	1	NUM
ijassa-727	87	63	k	k	NOUN
ijassa-727	87	64	1	1	NUM
ijassa-727	87	65	1	1	NUM
ijassa-727	87	66			PROPN
ijassa-727	87	67			PROPN
ijassa-727	87	68			X
ijassa-727	87	69			NUM
ijassa-727	87	70			NOUN
ijassa-727	87	71	rdxfp	rdxfp	NOUN
ijassa-727	87	72	r	r	NOUN
ijassa-727	87	73	nk	nk	NOUN
ijassa-727	87	74	x	x	PROPN
ijassa-727	87	75	thus	thus	ADV
ijassa-727	87	76	,	,	PUNCT
ijassa-727	87	77	we	we	PRON
ijassa-727	87	78	reduce	reduce	VERB
ijassa-727	87	79	the	the	DET
ijassa-727	87	80	model	model	NOUN
ijassa-727	87	81	2	2	NUM
ijassa-727	87	82	to	to	ADP
ijassa-727	87	83	stochastic	stochastic	ADJ
ijassa-727	87	84	model	model	NOUN
ijassa-727	87	85	with	with	ADP
ijassa-727	87	86	quantile	quantile	ADJ
ijassa-727	87	87	criterion	criterion	NOUN
ijassa-727	87	88	.	.	PUNCT
ijassa-727	88	1	for	for	ADP
ijassa-727	88	2	the	the	DET
ijassa-727	88	3	model	model	NOUN
ijassa-727	88	4	3	3	NUM
ijassa-727	88	5	(	(	PUNCT
ijassa-727	88	6	eq	eq	NOUN
ijassa-727	88	7	)	)	PUNCT
ijassa-727	88	8	,	,	PUNCT
ijassa-727	88	9	we	we	PRON
ijassa-727	88	10	use	use	VERB
ijassa-727	88	11	quantile	quantile	NOUN
ijassa-727	88	12	as	as	ADP
ijassa-727	88	13	characteristic	characteristic	ADJ
ijassa-727	88	14	at	at	ADP
ijassa-727	88	15	first	first	ADJ
ijassa-727	88	16	stage	stage	NOUN
ijassa-727	88	17	,	,	PUNCT
ijassa-727	88	18	and	and	CCONJ
ijassa-727	88	19	mathematical	mathematical	ADJ
ijassa-727	88	20	expectation	expectation	NOUN
ijassa-727	88	21	as	as	ADP
ijassa-727	88	22	characteristic	characteristic	ADJ
ijassa-727	88	23	at	at	ADP
ijassa-727	88	24	second	second	ADJ
ijassa-727	88	25	stage	stage	NOUN
ijassa-727	88	26	.	.	PUNCT
ijassa-727	89	1	then	then	ADV
ijassa-727	89	2	the	the	DET
ijassa-727	89	3	model	model	NOUN
ijassa-727	89	4	3	3	NUM
ijassa-727	89	5	has	have	VERB
ijassa-727	89	6	the	the	DET
ijassa-727	89	7	form	form	NOUN
ijassa-727	89	8	:	:	PUNCT
ijassa-727	89	9	)	)	PUNCT
ijassa-727	89	10	)	)	PUNCT
ijassa-727	89	11	)	)	PUNCT
ijassa-727	89	12	,	,	PUNCT
ijassa-727	89	13	(	(	PUNCT
ijassa-727	89	14	(	(	PUNCT
ijassa-727	89	15	(	(	PUNCT
ijassa-727	89	16	infmin	infmin	ADJ
ijassa-727	89	17			PUNCT
ijassa-727	89	18	,	,	PUNCT
ijassa-727	89	19	xfe	xfe	PROPN
ijassa-727	89	20	p	p	NOUN
ijassa-727	90	1	x	x	X
ijassa-727	90	2	,	,	PUNCT
ijassa-727	90	3	where	where	SCONJ
ijassa-727	90	4	in	in	ADP
ijassa-727	90	5	accordance	accordance	NOUN
ijassa-727	90	6	with	with	ADP
ijassa-727	90	7	theorem	theorem	ADJ
ijassa-727	90	8	2	2	NUM
ijassa-727	90	9	(	(	PUNCT
ijassa-727	90	10	d	d	NOUN
ijassa-727	90	11	)	)	PUNCT
ijassa-727	90	12	of	of	ADP
ijassa-727	90	13	the	the	DET
ijassa-727	90	14	appendix	appendix	NOUN
ijassa-727	90	15	:	:	PUNCT
ijassa-727	90	16	)	)	PUNCT
ijassa-727	90	17	.),1(),	.),1(),	NUM
ijassa-727	90	18	...	...	PUNCT
ijassa-727	90	19	,1	,1	PUNCT
ijassa-727	90	20	(	(	PUNCT
ijassa-727	90	21	)	)	PUNCT
ijassa-727	90	22	,	,	PUNCT
ijassa-727	90	23	(	(	PUNCT
ijassa-727	90	24	)	)	PUNCT
ijassa-727	90	25	,	,	PUNCT
ijassa-727	90	26	...	...	PUNCT
ijassa-727	90	27	,	,	PUNCT
ijassa-727	90	28	(	(	PUNCT
ijassa-727	90	29	,	,	PUNCT
ijassa-727	90	30	(	(	PUNCT
ijassa-727	90	31	)	)	PUNCT
ijassa-727	90	32	)	)	PUNCT
ijassa-727	90	33	,	,	PUNCT
ijassa-727	90	34	(	(	PUNCT
ijassa-727	90	35	(	(	PUNCT
ijassa-727	90	36	11	11	NUM
ijassa-727	90	37	1	1	NUM
ijassa-727	90	38	11	11	NUM
ijassa-727	90	39	1	1	NUM
ijassa-727	90	40			NOUN
ijassa-727	90	41			PUNCT
ijassa-727	90	42			PROPN
ijassa-727	90	43			X
ijassa-727	90	44			PUNCT
ijassa-727	90	45	nkk	nkk	X
ijassa-727	90	46	xf	xf	PROPN
ijassa-727	90	47	,	,	PUNCT
ijassa-727	90	48	xfinf	xfinf	PROPN
ijassa-727	90	49	(	(	PUNCT
ijassa-727	90	50	2	2	NUM
ijassa-727	90	51	)	)	PUNCT
ijassa-727	90	52	thus	thus	ADV
ijassa-727	90	53	,	,	PUNCT
ijassa-727	90	54	we	we	PRON
ijassa-727	90	55	have	have	AUX
ijassa-727	90	56	reduced	reduce	VERB
ijassa-727	90	57	the	the	DET
ijassa-727	90	58	model	model	NOUN
ijassa-727	90	59	3	3	NUM
ijassa-727	90	60	to	to	ADP
ijassa-727	90	61	a	a	DET
ijassa-727	90	62	deterministic	deterministic	ADJ
ijassa-727	90	63	model	model	NOUN
ijassa-727	90	64	of	of	ADP
ijassa-727	90	65	mathematical	mathematical	ADJ
ijassa-727	90	66	programming	programming	NOUN
ijassa-727	90	67	.	.	PUNCT
ijassa-727	91	1	for	for	ADP
ijassa-727	91	2	the	the	DET
ijassa-727	91	3	model	model	NOUN
ijassa-727	91	4	4	4	NUM
ijassa-727	91	5	(	(	PUNCT
ijassa-727	91	6	qq	qq	PROPN
ijassa-727	91	7	)	)	PUNCT
ijassa-727	91	8	,	,	PUNCT
ijassa-727	91	9	we	we	PRON
ijassa-727	91	10	use	use	VERB
ijassa-727	91	11	quantile	quantile	NOUN
ijassa-727	91	12	of	of	ADP
ijassa-727	91	13	uncertain	uncertain	ADJ
ijassa-727	91	14	value	value	NOUN
ijassa-727	91	15	as	as	ADP
ijassa-727	91	16	characteristic	characteristic	ADJ
ijassa-727	91	17	at	at	ADP
ijassa-727	91	18	first	first	ADJ
ijassa-727	91	19	stage	stage	NOUN
ijassa-727	91	20	,	,	PUNCT
ijassa-727	91	21	and	and	CCONJ
ijassa-727	91	22	quantile	quantile	NOUN
ijassa-727	91	23	of	of	ADP
ijassa-727	91	24	random	random	ADJ
ijassa-727	91	25	value	value	NOUN
ijassa-727	91	26	as	as	ADP
ijassa-727	91	27	characteristic	characteristic	ADJ
ijassa-727	91	28	at	at	ADP
ijassa-727	91	29	second	second	ADJ
ijassa-727	91	30	stage	stage	NOUN
ijassa-727	91	31	.	.	PUNCT
ijassa-727	92	1	then	then	ADV
ijassa-727	92	2	the	the	DET
ijassa-727	92	3	model	model	NOUN
ijassa-727	92	4	4	4	NUM
ijassa-727	92	5	has	have	VERB
ijassa-727	92	6	the	the	DET
ijassa-727	92	7	form	form	NOUN
ijassa-727	92	8	:	:	PUNCT
ijassa-727	92	9	,	,	PUNCT
ijassa-727	92	10	min	min	NOUN
ijassa-727	92	11	r	r	NOUN
ijassa-727	92	12	x	x	PRON
ijassa-727	92	13	where	where	SCONJ
ijassa-727	92	14	p	p	NOUN
ijassa-727	92	15	(	(	PUNCT
ijassa-727	92	16	infα	infα	PROPN
ijassa-727	92	17	(	(	PUNCT
ijassa-727	92	18	)	)	PUNCT
ijassa-727	92	19	,	,	PUNCT
ijassa-727	92	20	,	,	PUNCT
ijassa-727	92	21	(	(	PUNCT
ijassa-727	92	22	xf	xf	ADV
ijassa-727	92	23	)	)	PUNCT
ijassa-727	92	24	<	<	X
ijassa-727	92	25	r	r	X
ijassa-727	92	26	}	}	PUNCT
ijassa-727	92	27	>	>	X
ijassa-727	92	28	β	β	NOUN
ijassa-727	92	29	,	,	PUNCT
ijassa-727	92	30	1	1	ADV
ijassa-727	92	31	0	0	NOUN
ijassa-727	92	32	.	.	PUNCT
ijassa-727	93	1	thus	thus	ADV
ijassa-727	93	2	,	,	PUNCT
ijassa-727	93	3	we	we	PRON
ijassa-727	93	4	reduce	reduce	VERB
ijassa-727	93	5	the	the	DET
ijassa-727	93	6	model	model	NOUN
ijassa-727	93	7	4	4	NUM
ijassa-727	93	8	to	to	ADP
ijassa-727	93	9	stochastic	stochastic	ADJ
ijassa-727	93	10	model	model	NOUN
ijassa-727	93	11	with	with	ADP
ijassa-727	93	12	quantile	quantile	ADJ
ijassa-727	93	13	criterion	criterion	NOUN
ijassa-727	93	14	(	(	PUNCT
ijassa-727	93	15	formula	formula	NOUN
ijassa-727	93	16	(	(	PUNCT
ijassa-727	93	17	2	2	NUM
ijassa-727	93	18	)	)	PUNCT
ijassa-727	93	19	)	)	PUNCT
ijassa-727	93	20	.	.	PUNCT
ijassa-727	94	1	consider	consider	VERB
ijassa-727	94	2	representation	representation	NOUN
ijassa-727	94	3	of	of	ADP
ijassa-727	94	4	duplicate	duplicate	NOUN
ijassa-727	94	5	for	for	ADP
ijassa-727	94	6	constraint	constraint	NOUN
ijassa-727	94	7	0	0	NUM
ijassa-727	94	8	,	,	PUNCT
ijassa-727	94	9	,	,	PUNCT
ijassa-727	94	10	)x(g	)x(g	NUM
ijassa-727	94	11			PROPN
ijassa-727	94	12	,	,	PUNCT
ijassa-727	94	13	where	where	SCONJ
ijassa-727	94	14	g	g	PROPN
ijassa-727	94	15	is	be	AUX
ijassa-727	94	16	an	an	DET
ijassa-727	94	17	uncertainrandom	uncertainrandom	ADJ
ijassa-727	94	18	value	value	NOUN
ijassa-727	94	19	,	,	PUNCT
ijassa-727	94	20	and	and	CCONJ
ijassa-727	94	21	x	x	X
ijassa-727	94	22	is	be	AUX
ijassa-727	94	23	the	the	DET
ijassa-727	94	24	solution	solution	NOUN
ijassa-727	94	25	vector	vector	NOUN
ijassa-727	94	26	,	,	PUNCT
ijassa-727	94	27	ξ1	ξ1	NOUN
ijassa-727	94	28	,	,	PUNCT
ijassa-727	94	29	ξ2	ξ2	NOUN
ijassa-727	94	30	,	,	PUNCT
ijassa-727	94	31	…	…	PUNCT
ijassa-727	94	32	,	,	PUNCT
ijassa-727	94	33	ξn	ξn	PROPN
ijassa-727	94	34	are	be	AUX
ijassa-727	94	35	independent	independent	ADJ
ijassa-727	94	36	uncertain	uncertain	ADJ
ijassa-727	94	37	values	value	NOUN
ijassa-727	94	38	with	with	ADP
ijassa-727	94	39	uncertainty	uncertainty	NOUN
ijassa-727	94	40	distribution	distribution	NOUN
ijassa-727	94	41	functions	function	NOUN
ijassa-727	94	42	φ1	φ1	PROPN
ijassa-727	94	43	,	,	PUNCT
ijassa-727	94	44	φ2	φ2	PROPN
ijassa-727	94	45	,	,	PUNCT
ijassa-727	94	46	…	…	PUNCT
ijassa-727	94	47	,	,	PUNCT
ijassa-727	94	48	φn	φn	INTJ
ijassa-727	94	49	,	,	PUNCT
ijassa-727	94	50	having	have	VERB
ijassa-727	94	51	inverse	inverse	NOUN
ijassa-727	94	52	functions	function	NOUN
ijassa-727	94	53	,	,	PUNCT
ijassa-727	94	54	ω1	ω1	PROPN
ijassa-727	94	55	,	,	PUNCT
ijassa-727	94	56	…	…	PUNCT
ijassa-727	94	57	,	,	PUNCT
ijassa-727	94	58	ωm	ωm	X
ijassa-727	94	59	are	be	AUX
ijassa-727	94	60	independent	independent	ADJ
ijassa-727	94	61	random	random	ADJ
ijassa-727	94	62	values	value	NOUN
ijassa-727	94	63	with	with	ADP
ijassa-727	94	64	probability	probability	NOUN
ijassa-727	94	65	distribution	distribution	NOUN
ijassa-727	94	66	functions	function	NOUN
ijassa-727	94	67	ψ1	ψ1	NOUN
ijassa-727	94	68	,	,	PUNCT
ijassa-727	94	69	ψ2	ψ2	NOUN
ijassa-727	94	70	,	,	PUNCT
ijassa-727	94	71	…	…	PUNCT
ijassa-727	94	72	,	,	PUNCT
ijassa-727	94	73	ψm	ψm	PROPN
ijassa-727	94	74	.	.	PROPN
ijassa-727	94	75	12	12	NUM
ijassa-727	94	76	g.s	g.s	PROPN
ijassa-727	94	77	.	.	PROPN
ijassa-727	94	78	veresnikov	veresnikov	PROPN
ijassa-727	94	79	,	,	PUNCT
ijassa-727	94	80	l.a	l.a	PROPN
ijassa-727	94	81	.	.	PROPN
ijassa-727	94	82	pankova	pankova	PROPN
ijassa-727	94	83	,	,	PUNCT
ijassa-727	95	1	v.a	v.a	PROPN
ijassa-727	95	2	.	.	PROPN
ijassa-727	95	3	pronina	pronina	PROPN
ijassa-727	95	4	copyright	copyright	NOUN
ijassa-727	95	5	©	©	PROPN
ijassa-727	95	6	2019	2019	NUM
ijassa-727	95	7	assa	assa	PROPN
ijassa-727	95	8	adv	adv	PROPN
ijassa-727	95	9	.	.	PUNCT
ijassa-727	96	1	in	in	ADP
ijassa-727	96	2	systems	system	NOUN
ijassa-727	96	3	science	science	NOUN
ijassa-727	96	4	and	and	CCONJ
ijassa-727	96	5	appl	appl	NOUN
ijassa-727	96	6	.	.	PUNCT
ijassa-727	97	1	(	(	PUNCT
ijassa-727	97	2	2019	2019	NUM
ijassa-727	97	3	)	)	PUNCT
ijassa-727	97	4	in	in	ADP
ijassa-727	97	5	the	the	DET
ijassa-727	97	6	case	case	NOUN
ijassa-727	97	7	of	of	ADP
ijassa-727	97	8	hard	hard	ADJ
ijassa-727	97	9	constraint	constraint	NOUN
ijassa-727	97	10	,	,	PUNCT
ijassa-727	97	11	the	the	DET
ijassa-727	97	12	constraint	constraint	NOUN
ijassa-727	97	13	must	must	AUX
ijassa-727	97	14	be	be	AUX
ijassa-727	97	15	satisfied	satisfied	ADJ
ijassa-727	97	16	for	for	ADP
ijassa-727	97	17	any	any	DET
ijassa-727	97	18	implementation	implementation	NOUN
ijassa-727	97	19	of	of	ADP
ijassa-727	97	20	random	random	ADJ
ijassa-727	97	21	and	and	CCONJ
ijassa-727	97	22	uncertain	uncertain	ADJ
ijassa-727	97	23	values	value	NOUN
ijassa-727	97	24	,	,	PUNCT
ijassa-727	97	25	and	and	CCONJ
ijassa-727	97	26	duplicate	duplicate	ADJ
ijassa-727	97	27	value	value	NOUN
ijassa-727	97	28	has	have	VERB
ijassa-727	97	29	form	form	NOUN
ijassa-727	97	30	:	:	PUNCT
ijassa-727	97	31	0)(max	0)(max	NOUN
ijassa-727	97	32	,	,	PUNCT
ijassa-727	97	33			ADJ
ijassa-727	97	34			PROPN
ijassa-727	97	35	,	,	PUNCT
ijassa-727	97	36	,	,	PUNCT
ijassa-727	97	37	xg	xg	PROPN
ijassa-727	97	38	.	.	PUNCT
ijassa-727	98	1	in	in	ADP
ijassa-727	98	2	the	the	DET
ijassa-727	98	3	case	case	NOUN
ijassa-727	98	4	of	of	ADP
ijassa-727	98	5	soft	soft	ADJ
ijassa-727	98	6	constraint	constraint	NOUN
ijassa-727	98	7	,	,	PUNCT
ijassa-727	98	8	the	the	DET
ijassa-727	98	9	constraint	constraint	NOUN
ijassa-727	98	10	performs	perform	VERB
ijassa-727	98	11	with	with	ADP
ijassa-727	98	12	guaranteed	guarantee	VERB
ijassa-727	98	13	belief	belief	NOUN
ijassa-727	98	14	degree	degree	NOUN
ijassa-727	98	15	and	and	CCONJ
ijassa-727	98	16	probability	probability	NOUN
ijassa-727	98	17	.	.	PUNCT
ijassa-727	99	1	we	we	PRON
ijassa-727	99	2	will	will	AUX
ijassa-727	99	3	build	build	VERB
ijassa-727	99	4	duplicate	duplicate	NOUN
ijassa-727	99	5	of	of	ADP
ijassa-727	99	6	soft	soft	ADJ
ijassa-727	99	7	constraint	constraint	NOUN
ijassa-727	99	8	.	.	PUNCT
ijassa-727	100	1	we	we	PRON
ijassa-727	100	2	interpret	interpret	VERB
ijassa-727	100	3	)	)	PUNCT
ijassa-727	101	1	x(g	x(g	PROPN
ijassa-727	101	2			PROPN
ijassa-727	101	3	,	,	PUNCT
ijassa-727	101	4	,	,	PUNCT
ijassa-727	101	5	as	as	ADP
ijassa-727	101	6	uncertain	uncertain	ADJ
ijassa-727	101	7	value	value	NOUN
ijassa-727	101	8	parameterized	parameterize	VERB
ijassa-727	101	9	by	by	ADP
ijassa-727	101	10	random	random	ADJ
ijassa-727	101	11	values	value	NOUN
ijassa-727	101	12	.	.	PUNCT
ijassa-727	102	1	then	then	ADV
ijassa-727	102	2	in	in	ADP
ijassa-727	102	3	the	the	DET
ijassa-727	102	4	first	first	ADJ
ijassa-727	102	5	stage	stage	NOUN
ijassa-727	102	6	,	,	PUNCT
ijassa-727	102	7	where	where	SCONJ
ijassa-727	102	8	random	random	ADJ
ijassa-727	102	9	variables	variable	NOUN
ijassa-727	102	10	are	be	AUX
ijassa-727	102	11	parameters	parameter	NOUN
ijassa-727	102	12	,	,	PUNCT
ijassa-727	102	13	the	the	DET
ijassa-727	102	14	duplicate	duplicate	NOUN
ijassa-727	102	15	of	of	ADP
ijassa-727	102	16	constraint	constraint	NOUN
ijassa-727	102	17	0	0	NUM
ijassa-727	102	18	,	,	PUNCT
ijassa-727	102	19	,	,	PUNCT
ijassa-727	102	20	)x(g	)x(g	X
ijassa-727	102	21			PROPN
ijassa-727	102	22	has	have	VERB
ijassa-727	102	23	the	the	DET
ijassa-727	102	24	form	form	NOUN
ijassa-727	102	25	:	:	PUNCT
ijassa-727	102	26			PROPN
ijassa-727	102	27			PROPN
ijassa-727	102	28	)	)	PUNCT
ijassa-727	102	29	)	)	PUNCT
ijassa-727	103	1	x(g(m	x(g(m	PROPN
ijassa-727	103	2	0	0	NUM
ijassa-727	103	3	,	,	PUNCT
ijassa-727	103	4	,	,	PUNCT
ijassa-727	103	5	,	,	PUNCT
ijassa-727	103	6	where	where	SCONJ
ijassa-727	103	7	m	m	NOUN
ijassa-727	103	8	is	be	AUX
ijassa-727	103	9	the	the	DET
ijassa-727	103	10	degree	degree	NOUN
ijassa-727	103	11	of	of	ADP
ijassa-727	103	12	expert	expert	ADJ
ijassa-727	103	13	confidence	confidence	NOUN
ijassa-727	103	14	(	(	PUNCT
ijassa-727	103	15	see	see	VERB
ijassa-727	103	16	appendix	appendix	NOUN
ijassa-727	103	17	)	)	PUNCT
ijassa-727	103	18	,	,	PUNCT
ijassa-727	103	19	α	α	PROPN
ijassa-727	103	20	is	be	AUX
ijassa-727	103	21	given	give	VERB
ijassa-727	103	22	by	by	ADP
ijassa-727	103	23	the	the	DET
ijassa-727	103	24	designer	designer	NOUN
ijassa-727	103	25	.	.	PUNCT
ijassa-727	104	1	if	if	SCONJ
ijassa-727	104	2	)	)	PUNCT
ijassa-727	104	3	x(g	x(g	PROPN
ijassa-727	104	4			PROPN
ijassa-727	104	5	,	,	PUNCT
ijassa-727	104	6	,	,	PUNCT
ijassa-727	104	7	is	be	AUX
ijassa-727	104	8	continuous	continuous	ADJ
ijassa-727	104	9	strictly	strictly	ADV
ijassa-727	104	10	increasing	increase	VERB
ijassa-727	104	11	function	function	NOUN
ijassa-727	104	12	with	with	ADP
ijassa-727	104	13	respect	respect	NOUN
ijassa-727	104	14	to	to	ADP
ijassa-727	104	15	ξ1	ξ1	NOUN
ijassa-727	104	16	,	,	PUNCT
ijassa-727	104	17	…	…	PUNCT
ijassa-727	104	18	,	,	PUNCT
ijassa-727	104	19	ξk	ξk	ADV
ijassa-727	104	20	and	and	CCONJ
ijassa-727	104	21	a	a	DET
ijassa-727	104	22	strictly	strictly	ADV
ijassa-727	104	23	decreasing	decrease	VERB
ijassa-727	104	24	function	function	NOUN
ijassa-727	104	25	with	with	ADP
ijassa-727	104	26	respect	respect	NOUN
ijassa-727	104	27	to	to	ADP
ijassa-727	104	28	ξk+1	ξk+1	NUM
ijassa-727	104	29	,	,	PUNCT
ijassa-727	104	30	…	…	PUNCT
ijassa-727	104	31	,	,	PUNCT
ijassa-727	104	32	ξn	ξn	PROPN
ijassa-727	104	33	,	,	PUNCT
ijassa-727	104	34	then	then	ADV
ijassa-727	104	35	the	the	DET
ijassa-727	104	36	inequality	inequality	NOUN
ijassa-727	104	37			PROPN
ijassa-727	104	38			PROPN
ijassa-727	104	39	)	)	PUNCT
ijassa-727	104	40	)	)	PUNCT
ijassa-727	105	1	x(g(m	x(g(m	PROPN
ijassa-727	105	2	0	0	NUM
ijassa-727	105	3	,	,	PUNCT
ijassa-727	105	4	,	,	PUNCT
ijassa-727	105	5	is	be	AUX
ijassa-727	105	6	equivalent	equivalent	ADJ
ijassa-727	105	7	to	to	ADP
ijassa-727	105	8	the	the	DET
ijassa-727	105	9	inequality	inequality	NOUN
ijassa-727	105	10	(	(	PUNCT
ijassa-727	105	11	theorem	theorem	NOUN
ijassa-727	105	12	2	2	NUM
ijassa-727	105	13	,	,	PUNCT
ijassa-727	105	14	appendix	appendix	NOUN
ijassa-727	105	15	):	):	PUNCT
ijassa-727	105	16	0)),1(),	0)),1(),	NUM
ijassa-727	105	17	...	...	PUNCT
ijassa-727	105	18	,1	,1	PUNCT
ijassa-727	105	19	(	(	PUNCT
ijassa-727	105	20	)	)	PUNCT
ijassa-727	105	21	,	,	PUNCT
ijassa-727	105	22	(	(	PUNCT
ijassa-727	105	23	)	)	PUNCT
ijassa-727	105	24	,	,	PUNCT
ijassa-727	105	25	...	...	PUNCT
ijassa-727	105	26	,	,	PUNCT
ijassa-727	105	27	(	(	PUNCT
ijassa-727	105	28	,	,	PUNCT
ijassa-727	105	29	(	(	PUNCT
ijassa-727	105	30	11	11	NUM
ijassa-727	105	31	1	1	NUM
ijassa-727	105	32	11	11	NUM
ijassa-727	105	33	1	1	NUM
ijassa-727	105	34			PROPN
ijassa-727	105	35			PROPN
ijassa-727	105	36			X
ijassa-727	105	37			PUNCT
ijassa-727	105	38			PROPN
ijassa-727	105	39	nkkxg	nkkxg	NOUN
ijassa-727	105	40	.	.	PUNCT
ijassa-727	106	1	at	at	ADP
ijassa-727	106	2	the	the	DET
ijassa-727	106	3	second	second	ADJ
ijassa-727	106	4	stage	stage	NOUN
ijassa-727	106	5	,	,	PUNCT
ijassa-727	106	6	we	we	PRON
ijassa-727	106	7	replace	replace	VERB
ijassa-727	106	8	this	this	DET
ijassa-727	106	9	inequality	inequality	NOUN
ijassa-727	106	10	containing	contain	VERB
ijassa-727	106	11	random	random	ADJ
ijassa-727	106	12	values	value	NOUN
ijassa-727	106	13	by	by	ADP
ijassa-727	106	14	the	the	DET
ijassa-727	106	15	probability	probability	NOUN
ijassa-727	106	16	that	that	SCONJ
ijassa-727	106	17	this	this	DET
ijassa-727	106	18	inequality	inequality	NOUN
ijassa-727	106	19	is	be	AUX
ijassa-727	106	20	satisfied	satisfied	ADJ
ijassa-727	106	21	:	:	PUNCT
ijassa-727	106	22	,	,	PUNCT
ijassa-727	106	23	)	)	PUNCT
ijassa-727	106	24	0)),1(),	0)),1(),	NUM
ijassa-727	106	25	...	...	PUNCT
ijassa-727	106	26	,1	,1	PUNCT
ijassa-727	106	27	(	(	PUNCT
ijassa-727	106	28	)	)	PUNCT
ijassa-727	106	29	,	,	PUNCT
ijassa-727	106	30	(	(	PUNCT
ijassa-727	106	31	)	)	PUNCT
ijassa-727	106	32	,	,	PUNCT
ijassa-727	106	33	...	...	PUNCT
ijassa-727	106	34	,	,	PUNCT
ijassa-727	106	35	(	(	PUNCT
ijassa-727	106	36	,	,	PUNCT
ijassa-727	106	37	(	(	PUNCT
ijassa-727	106	38	(	(	PUNCT
ijassa-727	106	39	11	11	NUM
ijassa-727	106	40	1	1	NUM
ijassa-727	106	41	11	11	NUM
ijassa-727	106	42	1	1	NUM
ijassa-727	106	43			NOUN
ijassa-727	106	44			ADP
ijassa-727	106	45			PROPN
ijassa-727	106	46			X
ijassa-727	106	47			PUNCT
ijassa-727	106	48	nkkxgp	nkkxgp	VERB
ijassa-727	106	49	where	where	SCONJ
ijassa-727	106	50	β	β	PROPN
ijassa-727	106	51	is	be	AUX
ijassa-727	106	52	the	the	DET
ijassa-727	106	53	confidence	confidence	NOUN
ijassa-727	106	54	level	level	NOUN
ijassa-727	106	55	of	of	ADP
ijassa-727	106	56	probability	probability	NOUN
ijassa-727	106	57	specified	specify	VERB
ijassa-727	106	58	by	by	ADP
ijassa-727	106	59	the	the	DET
ijassa-727	106	60	designer	designer	NOUN
ijassa-727	106	61	.	.	PUNCT
ijassa-727	107	1	thus	thus	ADV
ijassa-727	107	2	,	,	PUNCT
ijassa-727	107	3	we	we	PRON
ijassa-727	107	4	reduced	reduce	VERB
ijassa-727	107	5	constraint	constraint	NOUN
ijassa-727	107	6	with	with	ADP
ijassa-727	107	7	uncertain	uncertain	ADJ
ijassa-727	107	8	-	-	PUNCT
ijassa-727	107	9	random	random	ADJ
ijassa-727	107	10	value	value	NOUN
ijassa-727	107	11	to	to	PART
ijassa-727	107	12	probabilistic	probabilistic	ADJ
ijassa-727	107	13	constraint	constraint	NOUN
ijassa-727	107	14	.	.	PUNCT
ijassa-727	108	1	reducing	reduce	VERB
ijassa-727	108	2	the	the	DET
ijassa-727	108	3	model	model	NOUN
ijassa-727	108	4	of	of	ADP
ijassa-727	108	5	uncertain	uncertain	ADJ
ijassa-727	108	6	-	-	PUNCT
ijassa-727	108	7	random	random	ADJ
ijassa-727	108	8	programming	programming	NOUN
ijassa-727	108	9	to	to	ADP
ijassa-727	108	10	a	a	DET
ijassa-727	108	11	deterministic	deterministic	ADJ
ijassa-727	108	12	model	model	NOUN
ijassa-727	108	13	of	of	ADP
ijassa-727	108	14	mathematical	mathematical	ADJ
ijassa-727	108	15	programming	programming	NOUN
ijassa-727	108	16	greatly	greatly	ADV
ijassa-727	108	17	simplifies	simplify	VERB
ijassa-727	108	18	the	the	DET
ijassa-727	108	19	solution	solution	NOUN
ijassa-727	108	20	.	.	PUNCT
ijassa-727	109	1	reducing	reduce	VERB
ijassa-727	109	2	model	model	NOUN
ijassa-727	109	3	of	of	ADP
ijassa-727	109	4	uncertainrandom	uncertainrandom	PROPN
ijassa-727	109	5	programming	programming	NOUN
ijassa-727	109	6	to	to	ADP
ijassa-727	109	7	model	model	NOUN
ijassa-727	109	8	of	of	ADP
ijassa-727	109	9	stochastic	stochastic	ADJ
ijassa-727	109	10	programming	programming	NOUN
ijassa-727	109	11	simplifies	simplifie	NOUN
ijassa-727	109	12	solution	solution	NOUN
ijassa-727	109	13	,	,	PUNCT
ijassa-727	109	14	but	but	CCONJ
ijassa-727	109	15	in	in	ADP
ijassa-727	109	16	general	general	ADJ
ijassa-727	109	17	case	case	NOUN
ijassa-727	109	18	they	they	PRON
ijassa-727	109	19	remain	remain	VERB
ijassa-727	109	20	quite	quite	ADV
ijassa-727	109	21	complicated	complicated	ADJ
ijassa-727	109	22	.	.	PUNCT
ijassa-727	110	1	this	this	PRON
ijassa-727	110	2	is	be	AUX
ijassa-727	110	3	due	due	ADJ
ijassa-727	110	4	to	to	ADP
ijassa-727	110	5	complexity	complexity	NOUN
ijassa-727	110	6	of	of	ADP
ijassa-727	110	7	finding	find	VERB
ijassa-727	110	8	the	the	DET
ijassa-727	110	9	analytical	analytical	ADJ
ijassa-727	110	10	form	form	NOUN
ijassa-727	110	11	of	of	ADP
ijassa-727	110	12	probabilistic	probabilistic	ADJ
ijassa-727	110	13	criterion	criterion	NOUN
ijassa-727	110	14	and	and	CCONJ
ijassa-727	110	15	constraint	constraint	NOUN
ijassa-727	110	16	,	,	PUNCT
ijassa-727	110	17	and	and	CCONJ
ijassa-727	110	18	,	,	PUNCT
ijassa-727	110	19	in	in	ADP
ijassa-727	110	20	absence	absence	NOUN
ijassa-727	110	21	of	of	ADP
ijassa-727	110	22	one	one	NUM
ijassa-727	110	23	,	,	PUNCT
ijassa-727	110	24	complexity	complexity	NOUN
ijassa-727	110	25	of	of	ADP
ijassa-727	110	26	numerical	numerical	ADJ
ijassa-727	110	27	solution	solution	NOUN
ijassa-727	110	28	methods	method	NOUN
ijassa-727	110	29	.	.	PUNCT
ijassa-727	111	1	in	in	ADP
ijassa-727	111	2	particular	particular	ADJ
ijassa-727	111	3	cases	case	NOUN
ijassa-727	111	4	,	,	PUNCT
ijassa-727	111	5	deterministic	deterministic	ADJ
ijassa-727	111	6	equivalents	equivalent	NOUN
ijassa-727	111	7	of	of	ADP
ijassa-727	111	8	probabilistic	probabilistic	ADJ
ijassa-727	111	9	criteria	criterion	NOUN
ijassa-727	111	10	and	and	CCONJ
ijassa-727	111	11	constraints	constraint	NOUN
ijassa-727	111	12	can	can	AUX
ijassa-727	111	13	be	be	AUX
ijassa-727	111	14	found	find	VERB
ijassa-727	111	15	[	[	X
ijassa-727	111	16	5	5	NUM
ijassa-727	111	17	,	,	PUNCT
ijassa-727	111	18	6	6	NUM
ijassa-727	111	19	]	]	PUNCT
ijassa-727	111	20	.	.	PUNCT
ijassa-727	112	1	3	3	X
ijassa-727	112	2	.	.	X
ijassa-727	112	3	calculation	calculation	NOUN
ijassa-727	112	4	of	of	ADP
ijassa-727	112	5	aircraft	aircraft	NOUN
ijassa-727	112	6	weight	weight	NOUN
ijassa-727	112	7	parameters	parameter	NOUN
ijassa-727	112	8	3.1	3.1	NUM
ijassa-727	112	9	.	.	PUNCT
ijassa-727	112	10	models	model	NOUN
ijassa-727	112	11	we	we	PRON
ijassa-727	112	12	formalize	formalize	VERB
ijassa-727	112	13	the	the	DET
ijassa-727	112	14	one	one	NUM
ijassa-727	112	15	of	of	ADP
ijassa-727	112	16	the	the	DET
ijassa-727	112	17	tasks	task	NOUN
ijassa-727	112	18	of	of	ADP
ijassa-727	112	19	calculating	calculate	VERB
ijassa-727	112	20	weight	weight	NOUN
ijassa-727	112	21	parameters	parameter	NOUN
ijassa-727	112	22	of	of	ADP
ijassa-727	112	23	passenger	passenger	NOUN
ijassa-727	112	24	aircraft	aircraft	NOUN
ijassa-727	112	25	as	as	ADP
ijassa-727	112	26	optimization	optimization	NOUN
ijassa-727	112	27	problem	problem	NOUN
ijassa-727	112	28	with	with	ADP
ijassa-727	112	29	constraints	constraint	NOUN
ijassa-727	112	30	under	under	ADP
ijassa-727	112	31	conditions	condition	NOUN
ijassa-727	112	32	of	of	ADP
ijassa-727	112	33	mixed	mixed	ADJ
ijassa-727	112	34	uncertainty	uncertainty	NOUN
ijassa-727	112	35	based	base	VERB
ijassa-727	112	36	on	on	ADP
ijassa-727	112	37	the	the	DET
ijassa-727	112	38	method	method	NOUN
ijassa-727	112	39	of	of	ADP
ijassa-727	112	40	calculating	calculate	VERB
ijassa-727	112	41	the	the	DET
ijassa-727	112	42	weight	weight	NOUN
ijassa-727	112	43	report	report	NOUN
ijassa-727	112	44	of	of	ADP
ijassa-727	112	45	passenger	passenger	NOUN
ijassa-727	112	46	aircraft	aircraft	NOUN
ijassa-727	113	1	[	[	X
ijassa-727	113	2	7	7	NUM
ijassa-727	113	3	]	]	PUNCT
ijassa-727	113	4	.	.	PUNCT
ijassa-727	114	1	in	in	ADP
ijassa-727	114	2	the	the	DET
ijassa-727	114	3	original	original	ADJ
ijassa-727	114	4	form	form	NOUN
ijassa-727	114	5	,	,	PUNCT
ijassa-727	114	6	the	the	DET
ijassa-727	114	7	functions	function	NOUN
ijassa-727	114	8	for	for	ADP
ijassa-727	114	9	calculating	calculate	VERB
ijassa-727	114	10	the	the	DET
ijassa-727	114	11	basic	basic	ADJ
ijassa-727	114	12	weight	weight	NOUN
ijassa-727	114	13	parameters	parameter	NOUN
ijassa-727	114	14	of	of	ADP
ijassa-727	114	15	aircraft	aircraft	NOUN
ijassa-727	114	16	at	at	ADP
ijassa-727	114	17	the	the	DET
ijassa-727	114	18	preliminary	preliminary	ADJ
ijassa-727	114	19	design	design	NOUN
ijassa-727	114	20	stage	stage	NOUN
ijassa-727	114	21	are	be	AUX
ijassa-727	114	22	:	:	PUNCT
ijassa-727	114	23	pepayloadraeecppchairframefuel	pepayloadraeecppchairframefuel	PROPN
ijassa-727	114	24	mmmmmmmmm	mmmmmmmmm	PROPN
ijassa-727	114	25			NOUN
ijassa-727	114	26	0	0	NUM
ijassa-727	114	27	pepayloadpcaa	pepayloadpcaa	ADJ
ijassa-727	114	28	mmvvm	mmvvm	NOUN
ijassa-727	114	29			PROPN
ijassa-727	114	30	)	)	PUNCT
ijassa-727	114	31	(	(	PUNCT
ijassa-727	114	32	0	0	NUM
ijassa-727	114	33			NUM
ijassa-727	114	34	wetsmairframe	wetsmairframe	NOUN
ijassa-727	114	35	aqkm	aqkm	VERB
ijassa-727	114	36	)	)	PUNCT
ijassa-727	114	37	1	1	NUM
ijassa-727	114	38	(	(	PUNCT
ijassa-727	114	39			ADJ
ijassa-727	114	40	aaqsqss	aaqsqss	NOUN
ijassa-727	114	41	vvkkq	vvkkq	NOUN
ijassa-727	115	1	lg)lg	lg)lg	X
ijassa-727	115	2	(	(	PUNCT
ijassa-727	115	3	10	10	NUM
ijassa-727	115	4			PUNCT
ijassa-727	115	5	eqairframech	eqairframech	NOUN
ijassa-727	115	6	kmm	kmm	PROPN
ijassa-727	115	7	3.0	3.0	PROPN
ijassa-727	115	8	)	)	PUNCT
ijassa-727	115	9	(	(	PUNCT
ijassa-727	115	10	10	10	NUM
ijassa-727	115	11	wet	wet	VERB
ijassa-727	115	12	a	a	DET
ijassa-727	115	13	engengengpp	engengengpp	NOUN
ijassa-727	115	14	a	a	DET
ijassa-727	115	15	v	v	NOUN
ijassa-727	115	16	kktm	kktm	PROPN
ijassa-727	115	17			PROPN
ijassa-727	115	18			NUM
ijassa-727	115	19	models	model	NOUN
ijassa-727	115	20	of	of	ADP
ijassa-727	115	21	uncertain	uncertain	ADJ
ijassa-727	115	22	-	-	PUNCT
ijassa-727	115	23	random	random	ADJ
ijassa-727	115	24	programming	programming	NOUN
ijassa-727	115	25	13	13	NUM
ijassa-727	115	26	copyright	copyright	NOUN
ijassa-727	115	27	©	©	PROPN
ijassa-727	115	28	2019	2019	NUM
ijassa-727	115	29	assa	assa	NOUN
ijassa-727	115	30	.	.	PUNCT
ijassa-727	116	1	adv	adv	PROPN
ijassa-727	116	2	.	.	PUNCT
ijassa-727	117	1	in	in	ADP
ijassa-727	117	2	systems	system	NOUN
ijassa-727	117	3	science	science	NOUN
ijassa-727	117	4	and	and	CCONJ
ijassa-727	117	5	appl	appl	NOUN
ijassa-727	117	6	.	.	PUNCT
ijassa-727	118	1	(	(	PUNCT
ijassa-727	118	2	2019	2019	NUM
ijassa-727	118	3	)	)	PUNCT
ijassa-727	118	4	where	where	SCONJ
ijassa-727	118	5	0	0	NUM
ijassa-727	118	6	m	m	NOUN
ijassa-727	118	7	is	be	AUX
ijassa-727	118	8	takeoff	takeoff	NOUN
ijassa-727	118	9	mass	mass	NOUN
ijassa-727	118	10	;	;	PUNCT
ijassa-727	118	11	airframem	airframem	NOUN
ijassa-727	118	12	is	be	AUX
ijassa-727	118	13	airframe	airframe	ADJ
ijassa-727	118	14	mass	mass	PROPN
ijassa-727	118	15	;	;	PUNCT
ijassa-727	118	16	chm	chm	NOUN
ijassa-727	118	17	is	be	AUX
ijassa-727	118	18	equipment	equipment	NOUN
ijassa-727	118	19	mass	mass	NOUN
ijassa-727	118	20	for	for	ADP
ijassa-727	118	21	control	control	NOUN
ijassa-727	118	22	and	and	CCONJ
ijassa-727	118	23	hydraulics	hydraulic	NOUN
ijassa-727	118	24	;	;	PUNCT
ijassa-727	118	25	ppm	ppm	NOUN
ijassa-727	118	26	is	be	AUX
ijassa-727	118	27	power	power	NOUN
ijassa-727	118	28	plant	plant	NOUN
ijassa-727	118	29	mass	mass	NOUN
ijassa-727	118	30	;	;	PUNCT
ijassa-727	118	31	fuelm	fuelm	PROPN
ijassa-727	118	32	is	be	AUX
ijassa-727	118	33	fuel	fuel	NOUN
ijassa-727	118	34	mass	mass	NOUN
ijassa-727	118	35	;	;	PUNCT
ijassa-727	118	36	ecm	ecm	NOUN
ijassa-727	118	37	is	be	AUX
ijassa-727	118	38	weight	weight	NOUN
ijassa-727	118	39	of	of	ADP
ijassa-727	118	40	crew	crew	NOUN
ijassa-727	118	41	and	and	CCONJ
ijassa-727	118	42	equipment	equipment	NOUN
ijassa-727	118	43	;	;	PUNCT
ijassa-727	118	44	raem	raem	NOUN
ijassa-727	118	45	is	be	AUX
ijassa-727	118	46	mass	mass	NOUN
ijassa-727	118	47	of	of	ADP
ijassa-727	118	48	board	board	NOUN
ijassa-727	118	49	radioelectronic	radioelectronic	ADJ
ijassa-727	118	50	equipment	equipment	NOUN
ijassa-727	118	51	;	;	PUNCT
ijassa-727	118	52	payloadm	payloadm	X
ijassa-727	118	53	is	be	AUX
ijassa-727	118	54	commercial	commercial	ADJ
ijassa-727	118	55	load	load	NOUN
ijassa-727	118	56	;	;	PUNCT
ijassa-727	118	57	pem	pem	NOUN
ijassa-727	118	58	is	be	AUX
ijassa-727	118	59	passenger	passenger	NOUN
ijassa-727	118	60	equipment	equipment	NOUN
ijassa-727	118	61	;	;	PUNCT
ijassa-727	118	62	a	a	NOUN
ijassa-727	118	63	is	be	AUX
ijassa-727	118	64	the	the	DET
ijassa-727	118	65	average	average	ADJ
ijassa-727	118	66	density	density	NOUN
ijassa-727	118	67	of	of	ADP
ijassa-727	118	68	aircraft	aircraft	NOUN
ijassa-727	118	69	;	;	PUNCT
ijassa-727	118	70	av	av	PROPN
ijassa-727	118	71	is	be	AUX
ijassa-727	118	72	aircraft	aircraft	NOUN
ijassa-727	118	73	volume	volume	NOUN
ijassa-727	118	74	;	;	PUNCT
ijassa-727	118	75	pcv	pcv	NOUN
ijassa-727	118	76	is	be	AUX
ijassa-727	118	77	volume	volume	NOUN
ijassa-727	118	78	of	of	ADP
ijassa-727	118	79	the	the	DET
ijassa-727	118	80	passenger	passenger	NOUN
ijassa-727	118	81	compartment	compartment	NOUN
ijassa-727	118	82	;	;	PUNCT
ijassa-727	118	83	mk	mk	PROPN
ijassa-727	118	84	is	be	AUX
ijassa-727	118	85	composites	composite	NOUN
ijassa-727	118	86	utilization	utilization	NOUN
ijassa-727	118	87	coefficient	coefficient	NOUN
ijassa-727	118	88	;	;	PUNCT
ijassa-727	118	89	sq	sq	X
ijassa-727	118	90	is	be	AUX
ijassa-727	118	91	specific	specific	ADJ
ijassa-727	118	92	weight	weight	NOUN
ijassa-727	118	93	per	per	ADP
ijassa-727	118	94	square	square	ADJ
ijassa-727	118	95	meter	meter	NOUN
ijassa-727	118	96	of	of	ADP
ijassa-727	118	97	airframe	airframe	PROPN
ijassa-727	118	98	;	;	PUNCT
ijassa-727	118	99	weta	weta	PROPN
ijassa-727	118	100	is	be	AUX
ijassa-727	118	101	area	area	NOUN
ijassa-727	118	102	of	of	ADP
ijassa-727	118	103	washed	wash	VERB
ijassa-727	118	104	surface	surface	NOUN
ijassa-727	118	105	of	of	ADP
ijassa-727	118	106	aircraft	aircraft	NOUN
ijassa-727	118	107	;	;	PUNCT
ijassa-727	118	108	0qsk	0qsk	PRON
ijassa-727	118	109	is	be	AUX
ijassa-727	118	110	statistical	statistical	ADJ
ijassa-727	118	111	coefficient	coefficient	NOUN
ijassa-727	118	112	;	;	PUNCT
ijassa-727	118	113	1qsk	1qsk	PROPN
ijassa-727	118	114	is	be	AUX
ijassa-727	118	115	statistical	statistical	ADJ
ijassa-727	118	116	coefficient	coefficient	NOUN
ijassa-727	118	117	;	;	PUNCT
ijassa-727	118	118	eqk	eqk	NOUN
ijassa-727	118	119	is	be	AUX
ijassa-727	118	120	coefficient	coefficient	NOUN
ijassa-727	118	121	taking	take	VERB
ijassa-727	118	122	into	into	ADP
ijassa-727	118	123	account	account	NOUN
ijassa-727	118	124	production	production	NOUN
ijassa-727	118	125	technology	technology	NOUN
ijassa-727	118	126	;	;	PUNCT
ijassa-727	118	127	eng	eng	PUNCT
ijassa-727	118	128	is	be	AUX
ijassa-727	118	129	technological	technological	ADJ
ijassa-727	118	130	coefficient	coefficient	NOUN
ijassa-727	118	131	,	,	PUNCT
ijassa-727	118	132	which	which	PRON
ijassa-727	118	133	shows	show	VERB
ijassa-727	118	134	the	the	DET
ijassa-727	118	135	ratio	ratio	NOUN
ijassa-727	118	136	of	of	ADP
ijassa-727	118	137	weight	weight	NOUN
ijassa-727	118	138	of	of	ADP
ijassa-727	118	139	engine	engine	NOUN
ijassa-727	118	140	to	to	PART
ijassa-727	118	141	maximum	maximum	NOUN
ijassa-727	118	142	thrust	thrust	VERB
ijassa-727	118	143	at	at	ADP
ijassa-727	118	144	h	h	NOUN
ijassa-727	118	145	=	=	SYM
ijassa-727	118	146	0	0	NUM
ijassa-727	118	147	,	,	PUNCT
ijassa-727	118	148	v	v	NOUN
ijassa-727	118	149	=	=	SYM
ijassa-727	118	150	0	0	PUNCT
ijassa-727	119	1	(	(	PUNCT
ijassa-727	119	2	h	h	NOUN
ijassa-727	119	3	,	,	PUNCT
ijassa-727	119	4	v	v	NOUN
ijassa-727	119	5	are	be	AUX
ijassa-727	119	6	height	height	NOUN
ijassa-727	119	7	and	and	CCONJ
ijassa-727	119	8	speed	speed	NOUN
ijassa-727	119	9	,	,	PUNCT
ijassa-727	119	10	respectively	respectively	ADV
ijassa-727	119	11	)	)	PUNCT
ijassa-727	119	12	;	;	PUNCT
ijassa-727	119	13	t	t	PROPN
ijassa-727	119	14	is	be	AUX
ijassa-727	119	15	required	require	VERB
ijassa-727	119	16	thrust	thrust	NOUN
ijassa-727	119	17	at	at	ADP
ijassa-727	119	18	h	h	NOUN
ijassa-727	119	19	=	=	SYM
ijassa-727	119	20	0	0	NUM
ijassa-727	119	21	,	,	PUNCT
ijassa-727	119	22	v	v	NOUN
ijassa-727	119	23	=	=	SYM
ijassa-727	119	24	0	0	NUM
ijassa-727	119	25	;	;	PUNCT
ijassa-727	119	26	0engk	0engk	NUM
ijassa-727	119	27	and	and	CCONJ
ijassa-727	119	28	1engk	1engk	NUM
ijassa-727	119	29	are	be	AUX
ijassa-727	119	30	statistical	statistical	ADJ
ijassa-727	119	31	coefficients	coefficient	NOUN
ijassa-727	119	32	.	.	PUNCT
ijassa-727	120	1	to	to	PART
ijassa-727	120	2	calculate	calculate	VERB
ijassa-727	120	3	the	the	DET
ijassa-727	120	4	optimal	optimal	ADJ
ijassa-727	120	5	design	design	NOUN
ijassa-727	120	6	parameters	parameter	NOUN
ijassa-727	120	7	we	we	PRON
ijassa-727	120	8	select	select	VERB
ijassa-727	120	9	optimization	optimization	NOUN
ijassa-727	120	10	criteria	criterion	NOUN
ijassa-727	120	11	that	that	PRON
ijassa-727	120	12	affect	affect	VERB
ijassa-727	120	13	the	the	DET
ijassa-727	120	14	fulfillment	fulfillment	NOUN
ijassa-727	120	15	of	of	ADP
ijassa-727	120	16	specified	specify	VERB
ijassa-727	120	17	technical	technical	ADJ
ijassa-727	120	18	requirements	requirement	NOUN
ijassa-727	120	19	:	:	PUNCT
ijassa-727	120	20	operating	operate	VERB
ijassa-727	120	21	costs	cost	NOUN
ijassa-727	120	22	and	and	CCONJ
ijassa-727	120	23	flight	flight	NOUN
ijassa-727	120	24	range	range	NOUN
ijassa-727	120	25	.	.	PUNCT
ijassa-727	121	1	we	we	PRON
ijassa-727	121	2	minimize	minimize	VERB
ijassa-727	121	3	takeoff	takeoff	NOUN
ijassa-727	121	4	weight	weight	NOUN
ijassa-727	121	5	to	to	PART
ijassa-727	121	6	reduce	reduce	VERB
ijassa-727	121	7	fuel	fuel	NOUN
ijassa-727	121	8	consumption	consumption	NOUN
ijassa-727	121	9	,	,	PUNCT
ijassa-727	121	10	as	as	SCONJ
ijassa-727	121	11	the	the	DET
ijassa-727	121	12	main	main	ADJ
ijassa-727	121	13	part	part	NOUN
ijassa-727	121	14	of	of	ADP
ijassa-727	121	15	operating	operating	NOUN
ijassa-727	121	16	costs	cost	NOUN
ijassa-727	121	17	consists	consist	VERB
ijassa-727	121	18	of	of	ADP
ijassa-727	121	19	fuel	fuel	NOUN
ijassa-727	121	20	costs	cost	NOUN
ijassa-727	121	21	.	.	PUNCT
ijassa-727	122	1	on	on	ADP
ijassa-727	122	2	the	the	DET
ijassa-727	122	3	other	other	ADJ
ijassa-727	122	4	hand	hand	NOUN
ijassa-727	122	5	,	,	PUNCT
ijassa-727	122	6	we	we	PRON
ijassa-727	122	7	maximize	maximize	VERB
ijassa-727	122	8	the	the	DET
ijassa-727	122	9	fuel	fuel	NOUN
ijassa-727	122	10	supply	supply	NOUN
ijassa-727	122	11	,	,	PUNCT
ijassa-727	122	12	which	which	PRON
ijassa-727	122	13	increases	increase	VERB
ijassa-727	122	14	the	the	DET
ijassa-727	122	15	range	range	NOUN
ijassa-727	122	16	of	of	ADP
ijassa-727	122	17	the	the	DET
ijassa-727	122	18	aircraft	aircraft	NOUN
ijassa-727	122	19	.	.	PUNCT
ijassa-727	123	1	in	in	ADP
ijassa-727	123	2	this	this	DET
ijassa-727	123	3	regard	regard	NOUN
ijassa-727	123	4	,	,	PUNCT
ijassa-727	123	5	the	the	DET
ijassa-727	123	6	task	task	NOUN
ijassa-727	123	7	of	of	ADP
ijassa-727	123	8	weight	weight	NOUN
ijassa-727	123	9	calculation	calculation	NOUN
ijassa-727	123	10	is	be	AUX
ijassa-727	123	11	formalized	formalize	VERB
ijassa-727	123	12	and	and	CCONJ
ijassa-727	123	13	presented	present	VERB
ijassa-727	123	14	in	in	ADP
ijassa-727	123	15	form	form	NOUN
ijassa-727	123	16	of	of	ADP
ijassa-727	123	17	following	follow	VERB
ijassa-727	123	18	optimization	optimization	NOUN
ijassa-727	123	19	model	model	NOUN
ijassa-727	123	20	:	:	PUNCT
ijassa-727	124	1			NUM
ijassa-727	124	2			PROPN
ijassa-727	124	3			NUM
ijassa-727	124	4			NUM
ijassa-727	124	5			ADP
ijassa-727	124	6			NOUN
ijassa-727	125	1			NOUN
ijassa-727	125	2	landingfuel0	landingfuel0	VERB
ijassa-727	125	3	a	a	DET
ijassa-727	125	4	fuel0	fuel0	NOUN
ijassa-727	125	5	mmm	mmm	INTJ
ijassa-727	125	6	m	m	VERB
ijassa-727	125	7	m	m	VERB
ijassa-727	125	8	8.0	8.0	NUM
ijassa-727	125	9	,	,	PUNCT
ijassa-727	125	10	500400	500400	NUM
ijassa-727	125	11	,	,	PUNCT
ijassa-727	125	12	max	max	PROPN
ijassa-727	125	13	,	,	PUNCT
ijassa-727	125	14	min	min	PROPN
ijassa-727	125	15			NUM
ijassa-727	125	16	(	(	PUNCT
ijassa-727	125	17	1	1	NUM
ijassa-727	125	18	)	)	PUNCT
ijassa-727	125	19	based	base	VERB
ijassa-727	125	20	on	on	ADP
ijassa-727	125	21	the	the	DET
ijassa-727	125	22	study	study	NOUN
ijassa-727	125	23	of	of	ADP
ijassa-727	125	24	technical	technical	ADJ
ijassa-727	125	25	requirements	requirement	NOUN
ijassa-727	125	26	,	,	PUNCT
ijassa-727	125	27	the	the	DET
ijassa-727	125	28	designer	designer	NOUN
ijassa-727	125	29	choices	choice	VERB
ijassa-727	125	30	the	the	DET
ijassa-727	125	31	design	design	NOUN
ijassa-727	125	32	parameters	parameter	NOUN
ijassa-727	125	33	.	.	PUNCT
ijassa-727	126	1	the	the	DET
ijassa-727	126	2	design	design	NOUN
ijassa-727	126	3	parameters	parameter	NOUN
ijassa-727	126	4	are	be	AUX
ijassa-727	126	5	weta	weta	ADJ
ijassa-727	126	6	,	,	PUNCT
ijassa-727	126	7	av	av	PRON
ijassa-727	126	8	,	,	PUNCT
ijassa-727	126	9	payloadm	payloadm	PROPN
ijassa-727	126	10	,	,	PUNCT
ijassa-727	126	11	pem	pem	NOUN
ijassa-727	126	12	,	,	PUNCT
ijassa-727	126	13	raem	raem	NOUN
ijassa-727	126	14	.	.	PUNCT
ijassa-727	127	1	the	the	DET
ijassa-727	127	2	available	available	ADJ
ijassa-727	127	3	information	information	NOUN
ijassa-727	127	4	about	about	ADP
ijassa-727	127	5	the	the	DET
ijassa-727	127	6	parameters	parameter	NOUN
ijassa-727	127	7	determines	determine	VERB
ijassa-727	127	8	the	the	DET
ijassa-727	127	9	separation	separation	NOUN
ijassa-727	127	10	of	of	ADP
ijassa-727	127	11	the	the	DET
ijassa-727	127	12	parameters	parameter	NOUN
ijassa-727	127	13	into	into	ADP
ijassa-727	127	14	random	random	ADJ
ijassa-727	127	15	and	and	CCONJ
ijassa-727	127	16	uncertain	uncertain	ADJ
ijassa-727	127	17	.	.	PUNCT
ijassa-727	128	1	statistics	statistic	NOUN
ijassa-727	128	2	provide	provide	VERB
ijassa-727	128	3	information	information	NOUN
ijassa-727	128	4	on	on	ADP
ijassa-727	128	5	random	random	ADJ
ijassa-727	128	6	parameters	parameter	NOUN
ijassa-727	128	7	.	.	PUNCT
ijassa-727	129	1	experts	expert	NOUN
ijassa-727	129	2	provide	provide	VERB
ijassa-727	129	3	information	information	NOUN
ijassa-727	129	4	on	on	ADP
ijassa-727	129	5	uncertain	uncertain	ADJ
ijassa-727	129	6	parameters	parameter	NOUN
ijassa-727	129	7	.	.	PUNCT
ijassa-727	130	1	the	the	DET
ijassa-727	130	2	parameters	parameter	NOUN
ijassa-727	130	3	with	with	ADP
ijassa-727	130	4	epistemic	epistemic	ADJ
ijassa-727	130	5	uncertainty	uncertainty	NOUN
ijassa-727	130	6	are	be	AUX
ijassa-727	130	7	mk	mk	NOUN
ijassa-727	130	8	,	,	PUNCT
ijassa-727	130	9	eqk	eqk	NOUN
ijassa-727	130	10	,	,	PUNCT
ijassa-727	130	11	pcv	pcv	NOUN
ijassa-727	130	12	,	,	PUNCT
ijassa-727	130	13	ecm	ecm	NOUN
ijassa-727	130	14	,	,	PUNCT
ijassa-727	130	15	a	a	NOUN
ijassa-727	130	16	.	.	PUNCT
ijassa-727	131	1	the	the	DET
ijassa-727	131	2	parameters	parameter	NOUN
ijassa-727	131	3	with	with	ADP
ijassa-727	131	4	aleatory	aleatory	ADJ
ijassa-727	131	5	uncertainty	uncertainty	NOUN
ijassa-727	131	6	are	be	AUX
ijassa-727	131	7	0qsk	0qsk	PRON
ijassa-727	131	8	,	,	PUNCT
ijassa-727	131	9	1qsk	1qsk	PROPN
ijassa-727	131	10	,	,	PUNCT
ijassa-727	131	11	0engk	0engk	PROPN
ijassa-727	131	12	,	,	PUNCT
ijassa-727	131	13	1engk	1engk	NUM
ijassa-727	131	14	,	,	PUNCT
ijassa-727	131	15	eng	eng	PUNCT
ijassa-727	131	16	,	,	PUNCT
ijassa-727	131	17	t.	t.	NOUN
ijassa-727	131	18	the	the	DET
ijassa-727	131	19	expression	expression	NOUN
ijassa-727	131	20	landingfuel0	landingfuel0	PROPN
ijassa-727	132	1	mmm	mmm	X
ijassa-727	132	2			NOUN
ijassa-727	132	3	8.0	8.0	NUM
ijassa-727	132	4	determines	determine	VERB
ijassa-727	132	5	the	the	DET
ijassa-727	132	6	constraint	constraint	NOUN
ijassa-727	132	7	on	on	ADP
ijassa-727	132	8	landing	land	VERB
ijassa-727	132	9	weight	weight	NOUN
ijassa-727	132	10	of	of	ADP
ijassa-727	132	11	aircraft	aircraft	NOUN
ijassa-727	132	12	,	,	PUNCT
ijassa-727	132	13	associated	associate	VERB
ijassa-727	132	14	with	with	ADP
ijassa-727	132	15	length	length	NOUN
ijassa-727	132	16	of	of	ADP
ijassa-727	132	17	run	run	NOUN
ijassa-727	132	18	during	during	ADP
ijassa-727	132	19	landing	landing	NOUN
ijassa-727	132	20	.	.	PUNCT
ijassa-727	133	1	let	let	VERB
ijassa-727	133	2	1	1	NUM
ijassa-727	133	3	a	a	NOUN
ijassa-727	133	4			PROPN
ijassa-727	133	5	,	,	PUNCT
ijassa-727	133	6	1	1	NUM
ijassa-727	133	7	pcv	pcv	NOUN
ijassa-727	133	8	,	,	PUNCT
ijassa-727	133	9	1	1	NUM
ijassa-727	133	10	ecm	ecm	PROPN
ijassa-727	133	11	,	,	PUNCT
ijassa-727	133	12	1	1	NUM
ijassa-727	133	13	eqk	eqk	ADJ
ijassa-727	133	14	,	,	PUNCT
ijassa-727	133	15	1	1	PRON
ijassa-727	133	16	mk	mk	AUX
ijassa-727	133	17	be	be	AUX
ijassa-727	133	18	inverse	inverse	ADJ
ijassa-727	133	19	uncertainty	uncertainty	NOUN
ijassa-727	133	20	distribution	distribution	NOUN
ijassa-727	133	21	functions	function	NOUN
ijassa-727	133	22	of	of	ADP
ijassa-727	133	23	uncertainty	uncertainty	NOUN
ijassa-727	133	24	for	for	ADP
ijassa-727	133	25	parameters	parameter	NOUN
ijassa-727	133	26	a	a	NOUN
ijassa-727	133	27	,	,	PUNCT
ijassa-727	133	28	pcv	pcv	NOUN
ijassa-727	133	29	,	,	PUNCT
ijassa-727	133	30	ecm	ecm	NOUN
ijassa-727	133	31	,	,	PUNCT
ijassa-727	133	32	eqk	eqk	NOUN
ijassa-727	133	33	,	,	PUNCT
ijassa-727	133	34	mk	mk	PROPN
ijassa-727	133	35	;	;	PUNCT
ijassa-727	133	36	0qsk	0qsk	NUM
ijassa-727	133	37	,	,	PUNCT
ijassa-727	133	38	1qsk	1qsk	NUM
ijassa-727	133	39	,	,	PUNCT
ijassa-727	133	40	0engk	0engk	PROPN
ijassa-727	133	41	,	,	PUNCT
ijassa-727	133	42	,	,	PUNCT
ijassa-727	134	1	1engk	1engk	NOUN
ijassa-727	135	1	eng	eng	PROPN
ijassa-727	135	2	,	,	PUNCT
ijassa-727	135	3	t	t	PROPN
ijassa-727	135	4	be	be	AUX
ijassa-727	135	5	probability	probability	NOUN
ijassa-727	135	6	distribution	distribution	NOUN
ijassa-727	135	7	functions	function	NOUN
ijassa-727	135	8	of	of	ADP
ijassa-727	135	9	uncertainty	uncertainty	NOUN
ijassa-727	135	10	for	for	ADP
ijassa-727	135	11	parameters	parameter	NOUN
ijassa-727	135	12	0qsk	0qsk	NOUN
ijassa-727	135	13	,	,	PUNCT
ijassa-727	136	1	1qsk	1qsk	PROPN
ijassa-727	136	2	,	,	PUNCT
ijassa-727	136	3	0engk	0engk	PROPN
ijassa-727	136	4	,	,	PUNCT
ijassa-727	136	5	1engk	1engk	NUM
ijassa-727	136	6	,	,	PUNCT
ijassa-727	136	7	eng	eng	NOUN
ijassa-727	136	8	,	,	PUNCT
ijassa-727	136	9	t.	t.	PROPN
ijassa-727	136	10	to	to	PART
ijassa-727	136	11	solve	solve	VERB
ijassa-727	136	12	this	this	DET
ijassa-727	136	13	problem	problem	NOUN
ijassa-727	136	14	,	,	PUNCT
ijassa-727	136	15	as	as	ADV
ijassa-727	136	16	well	well	ADV
ijassa-727	136	17	as	as	ADP
ijassa-727	136	18	to	to	PART
ijassa-727	136	19	compare	compare	VERB
ijassa-727	136	20	the	the	DET
ijassa-727	136	21	results	result	NOUN
ijassa-727	136	22	and	and	CCONJ
ijassa-727	136	23	study	study	VERB
ijassa-727	136	24	the	the	DET
ijassa-727	136	25	models	model	NOUN
ijassa-727	136	26	,	,	PUNCT
ijassa-727	136	27	we	we	PRON
ijassa-727	136	28	construct	construct	VERB
ijassa-727	136	29	two	two	NUM
ijassa-727	136	30	two	two	NUM
ijassa-727	136	31	-	-	PUNCT
ijassa-727	136	32	criterion	criterion	NOUN
ijassa-727	136	33	models	model	NOUN
ijassa-727	136	34	based	base	VERB
ijassa-727	136	35	on	on	ADP
ijassa-727	136	36	the	the	DET
ijassa-727	136	37	single	single	ADJ
ijassa-727	136	38	-	-	PUNCT
ijassa-727	136	39	criterion	criterion	NOUN
ijassa-727	136	40	models	model	NOUN
ijassa-727	136	41	proposed	propose	VERB
ijassa-727	136	42	in	in	ADP
ijassa-727	136	43	section	section	NOUN
ijassa-727	136	44	2	2	NUM
ijassa-727	136	45	.	.	PUNCT
ijassa-727	137	1	in	in	ADP
ijassa-727	137	2	model	model	NOUN
ijassa-727	137	3	a	a	X
ijassa-727	137	4	,	,	PUNCT
ijassa-727	137	5	for	for	ADP
ijassa-727	137	6	each	each	DET
ijassa-727	137	7	criterion	criterion	NOUN
ijassa-727	137	8	,	,	PUNCT
ijassa-727	137	9	select	select	VERB
ijassa-727	137	10	the	the	DET
ijassa-727	137	11	"	"	PUNCT
ijassa-727	137	12	averaging	averaging	NOUN
ijassa-727	137	13	"	"	PUNCT
ijassa-727	137	14	model	model	NOUN
ijassa-727	137	15	(	(	PUNCT
ijassa-727	137	16	ee	ee	PROPN
ijassa-727	137	17	)	)	PUNCT
ijassa-727	137	18	.	.	PUNCT
ijassa-727	138	1	in	in	ADP
ijassa-727	138	2	model	model	NOUN
ijassa-727	138	3	b	b	PROPN
ijassa-727	138	4	,	,	PUNCT
ijassa-727	138	5	for	for	ADP
ijassa-727	138	6	each	each	DET
ijassa-727	138	7	criterion	criterion	NOUN
ijassa-727	138	8	we	we	PRON
ijassa-727	138	9	choose	choose	VERB
ijassa-727	138	10	the	the	DET
ijassa-727	138	11	"	"	PUNCT
ijassa-727	138	12	quantile	quantile	ADJ
ijassa-727	138	13	"	"	PUNCT
ijassa-727	138	14	model	model	NOUN
ijassa-727	138	15	(	(	PUNCT
ijassa-727	138	16	qq	qq	PROPN
ijassa-727	138	17	)	)	PUNCT
ijassa-727	138	18	.	.	PUNCT
ijassa-727	139	1	model	model	PROPN
ijassa-727	139	2	a	a	DET
ijassa-727	139	3	:	:	PUNCT
ijassa-727	139	4	14	14	NUM
ijassa-727	139	5	g.s	g.s	PROPN
ijassa-727	139	6	.	.	PROPN
ijassa-727	139	7	veresnikov	veresnikov	PROPN
ijassa-727	139	8	,	,	PUNCT
ijassa-727	139	9	l.a	l.a	PROPN
ijassa-727	139	10	.	.	PROPN
ijassa-727	139	11	pankova	pankova	PROPN
ijassa-727	139	12	,	,	PUNCT
ijassa-727	139	13	v.a	v.a	PROPN
ijassa-727	139	14	.	.	PROPN
ijassa-727	139	15	pronina	pronina	PROPN
ijassa-727	139	16	copyright	copyright	NOUN
ijassa-727	140	1	©	©	PROPN
ijassa-727	140	2	2019	2019	NUM
ijassa-727	140	3	assa	assa	PROPN
ijassa-727	140	4	adv	adv	PROPN
ijassa-727	140	5	.	.	PUNCT
ijassa-727	141	1	in	in	ADP
ijassa-727	141	2	systems	system	NOUN
ijassa-727	141	3	science	science	NOUN
ijassa-727	141	4	and	and	CCONJ
ijassa-727	141	5	appl	appl	NOUN
ijassa-727	141	6	.	.	PUNCT
ijassa-727	142	1	(	(	PUNCT
ijassa-727	142	2	2019	2019	NUM
ijassa-727	142	3	)	)	PUNCT
ijassa-727	142	4			NUM
ijassa-727	142	5			NUM
ijassa-727	142	6			NUM
ijassa-727	142	7			NUM
ijassa-727	142	8			PROPN
ijassa-727	143	1			NUM
ijassa-727	143	2			NUM
ijassa-727	143	3			ADP
ijassa-727	143	4			PRON
ijassa-727	143	5			PUNCT
ijassa-727	143	6			SYM
ijassa-727	143	7			NUM
ijassa-727	143	8			NOUN
ijassa-727	143	9	]	]	PUNCT
ijassa-727	143	10	,	,	PUNCT
ijassa-727	143	11	1,0[,))8.0	1,0[,))8.0	NUM
ijassa-727	143	12	(	(	PUNCT
ijassa-727	143	13	(	(	PUNCT
ijassa-727	143	14	,	,	PUNCT
ijassa-727	143	15	)	)	PUNCT
ijassa-727	143	16	400	400	NUM
ijassa-727	143	17	(	(	PUNCT
ijassa-727	143	18	,	,	PUNCT
ijassa-727	143	19	)	)	PUNCT
ijassa-727	143	20	500	500	NUM
ijassa-727	143	21	(	(	PUNCT
ijassa-727	143	22	]	]	X
ijassa-727	143	23	,	,	PUNCT
ijassa-727	143	24	[	[	X
ijassa-727	143	25	max],[min	max],[min	NOUN
ijassa-727	143	26	landingmlandingmlandingmlandingfuel0	landingmlandingmlandingmlandingfuel0	NOUN
ijassa-727	143	27	aa	aa	PROPN
ijassa-727	143	28	aa	aa	PROPN
ijassa-727	143	29	fuel0	fuel0	PROPN
ijassa-727	143	30	ppmmmmp	ppmmmmp	PROPN
ijassa-727	143	31	m	m	VERB
ijassa-727	143	32	m	m	VERB
ijassa-727	143	33	meme	meme	NOUN
ijassa-727	143	34			X
ijassa-727	143	35			PART
ijassa-727	143	36			X
ijassa-727	143	37			NUM
ijassa-727	143	38			NUM
ijassa-727	143	39	where	where	SCONJ
ijassa-727	143	40	m	m	NOUN
ijassa-727	143	41	is	be	AUX
ijassa-727	143	42	measure	measure	NOUN
ijassa-727	143	43	of	of	ADP
ijassa-727	143	44	uncertainty	uncertainty	NOUN
ijassa-727	143	45	(	(	PUNCT
ijassa-727	143	46	expert	expert	NOUN
ijassa-727	143	47	belief	belief	NOUN
ijassa-727	143	48	degree	degree	NOUN
ijassa-727	143	49	)	)	PUNCT
ijassa-727	143	50	,	,	PUNCT
ijassa-727	143	51			NOUN
ijassa-727	143	52	a	a	NOUN
ijassa-727	143	53			X
ijassa-727	143	54	,	,	PUNCT
ijassa-727	143	55			NUM
ijassa-727	143	56	a	a	NOUN
ijassa-727	143	57			X
ijassa-727	143	58	,	,	PUNCT
ijassa-727	143	59	landingm	landingm	ADJ
ijassa-727	143	60			X
ijassa-727	143	61	are	be	AUX
ijassa-727	143	62	levels	level	NOUN
ijassa-727	143	63	of	of	ADP
ijassa-727	143	64	belief	belief	NOUN
ijassa-727	143	65	degrees	degree	VERB
ijassa-727	143	66	that	that	SCONJ
ijassa-727	143	67	the	the	DET
ijassa-727	143	68	inequalities	inequality	NOUN
ijassa-727	143	69	in	in	ADP
ijassa-727	143	70	question	question	NOUN
ijassa-727	143	71	are	be	AUX
ijassa-727	143	72	satisfied	satisfied	ADJ
ijassa-727	143	73	,	,	PUNCT
ijassa-727	143	74	landingm	landingm	PROPN
ijassa-727	143	75	p	p	NOUN
ijassa-727	143	76	is	be	AUX
ijassa-727	143	77	level	level	NOUN
ijassa-727	143	78	of	of	ADP
ijassa-727	143	79	probability	probability	NOUN
ijassa-727	143	80	that	that	SCONJ
ijassa-727	143	81	belief	belief	NOUN
ijassa-727	143	82	degree	degree	NOUN
ijassa-727	143	83	in	in	ADP
ijassa-727	143	84	the	the	DET
ijassa-727	143	85	implementation	implementation	NOUN
ijassa-727	143	86	of	of	ADP
ijassa-727	143	87	inequality	inequality	NOUN
ijassa-727	143	88	landingfuel0	landingfuel0	PROPN
ijassa-727	143	89	mmm	mmm	X
ijassa-727	143	90			NOUN
ijassa-727	143	91	8.0	8.0	NUM
ijassa-727	143	92	will	will	AUX
ijassa-727	143	93	be	be	AUX
ijassa-727	143	94	greater	great	ADJ
ijassa-727	143	95	than	than	ADP
ijassa-727	143	96	landingm	landingm	ADJ
ijassa-727	143	97			NOUN
ijassa-727	143	98	.	.	PUNCT
ijassa-727	144	1	to	to	PART
ijassa-727	144	2	solve	solve	VERB
ijassa-727	144	3	this	this	DET
ijassa-727	144	4	task	task	NOUN
ijassa-727	144	5	,	,	PUNCT
ijassa-727	144	6	first	first	ADV
ijassa-727	144	7	the	the	DET
ijassa-727	144	8	designer	designer	NOUN
ijassa-727	144	9	sets	set	VERB
ijassa-727	144	10			NOUN
ijassa-727	144	11	a	a	NOUN
ijassa-727	144	12			X
ijassa-727	144	13	,	,	PUNCT
ijassa-727	144	14			NUM
ijassa-727	144	15	a	a	NOUN
ijassa-727	144	16			X
ijassa-727	144	17	,	,	PUNCT
ijassa-727	144	18	landingm	landingm	ADJ
ijassa-727	144	19			X
ijassa-727	144	20	,	,	PUNCT
ijassa-727	144	21	.	.	PUNCT
ijassa-727	145	1	landingm	landingm	PROPN
ijassa-727	145	2	p	p	NOUN
ijassa-727	145	3	then	then	ADV
ijassa-727	145	4	the	the	DET
ijassa-727	145	5	multicriteria	multicriteria	PROPN
ijassa-727	145	6	optimization	optimization	NOUN
ijassa-727	145	7	algorithm	algorithm	NOUN
ijassa-727	145	8	is	be	AUX
ijassa-727	145	9	applied	apply	VERB
ijassa-727	145	10	.	.	PUNCT
ijassa-727	146	1	for	for	SCONJ
ijassa-727	146	2	each	each	DET
ijassa-727	146	3	combination	combination	NOUN
ijassa-727	146	4	of	of	ADP
ijassa-727	146	5	design	design	NOUN
ijassa-727	146	6	parameters	parameter	NOUN
ijassa-727	146	7	varied	varied	ADJ
ijassa-727	146	8	in	in	ADP
ijassa-727	146	9	process	process	NOUN
ijassa-727	146	10	of	of	ADP
ijassa-727	146	11	optimization	optimization	NOUN
ijassa-727	146	12	,	,	PUNCT
ijassa-727	146	13	we	we	PRON
ijassa-727	146	14	calculate	calculate	VERB
ijassa-727	146	15	expected	expect	VERB
ijassa-727	146	16	values	value	NOUN
ijassa-727	146	17	of	of	ADP
ijassa-727	146	18	objective	objective	ADJ
ijassa-727	146	19	functions	function	NOUN
ijassa-727	146	20	according	accord	VERB
ijassa-727	146	21	to	to	ADP
ijassa-727	146	22	the	the	DET
ijassa-727	146	23	formulas	formula	NOUN
ijassa-727	146	24	:	:	PUNCT
ijassa-727	146	25			PUNCT
ijassa-727	146	26			NOUN
ijassa-727	147	1			NOUN
ijassa-727	148	1	1	1	NUM
ijassa-727	148	2	0	0	NUM
ijassa-727	148	3	11	11	NUM
ijassa-727	148	4	0	0	NUM
ijassa-727	148	5	,	,	PUNCT
ijassa-727	148	6	)	)	PUNCT
ijassa-727	148	7	)	)	PUNCT
ijassa-727	148	8	)	)	PUNCT
ijassa-727	148	9	1	1	NUM
ijassa-727	148	10	(	(	PUNCT
ijassa-727	148	11	)	)	PUNCT
ijassa-727	148	12	(	(	PUNCT
ijassa-727	148	13	(	(	PUNCT
ijassa-727	148	14	(	(	PUNCT
ijassa-727	148	15	]	]	X
ijassa-727	148	16	[	[	PUNCT
ijassa-727	148	17			X
ijassa-727	148	18	dmmvme	dmmvme	ADJ
ijassa-727	148	19	pepayloadpcvaa	pepayloadpcvaa	PROPN
ijassa-727	148	20	,	,	PUNCT
ijassa-727	148	21	)	)	PUNCT
ijassa-727	148	22	)	)	PUNCT
ijassa-727	148	23	)	)	PUNCT
ijassa-727	149	1	1	1	X
ijassa-727	149	2	(	(	PUNCT
ijassa-727	149	3	(	(	PUNCT
ijassa-727	149	4	(	(	PUNCT
ijassa-727	149	5	]	]	X
ijassa-727	149	6	[	[	PUNCT
ijassa-727	149	7	1010	1010	NUM
ijassa-727	149	8	1	1	NUM
ijassa-727	149	9	0	0	NUM
ijassa-727	149	10	1	1	NUM
ijassa-727	149	11	0	0	NUM
ijassa-727	150	1	tengengkengkqskqskpepayloadrae	tengengkengkqskqskpepayloadrae	NOUN
ijassa-727	150	2	mr	mr	PROPN
ijassa-727	150	3	ecmppchairframe	ecmppchairframe	PROPN
ijassa-727	150	4	'	'	PART
ijassa-727	150	5	fuel	fuel	NOUN
ijassa-727	150	6	dddddddmmm	dddddddmmm	PROPN
ijassa-727	150	7	mmmmme	mmmmme	NOUN
ijassa-727	150	8			PROPN
ijassa-727	150	9			NOUN
ijassa-727	150	10			NUM
ijassa-727	150	11			NOUN
ijassa-727	150	12			NOUN
ijassa-727	150	13			PUNCT
ijassa-727	150	14			NOUN
ijassa-727	150	15	;)	;)	SYM
ijassa-727	150	16	)	)	PUNCT
ijassa-727	150	17	1	1	NUM
ijassa-727	150	18	(	(	PUNCT
ijassa-727	150	19	)	)	PUNCT
ijassa-727	150	20	(	(	PUNCT
ijassa-727	150	21	(	(	PUNCT
ijassa-727	150	22	11	11	NUM
ijassa-727	150	23	0	0	NUM
ijassa-727	150	24	pepayloadpcvaa	pepayloadpcvaa	PROPN
ijassa-727	150	25	'	'	PUNCT
ijassa-727	150	26	mmvm	mmvm	PROPN
ijassa-727	150	27			PROPN
ijassa-727	150	28			NUM
ijassa-727	150	29			ADV
ijassa-727	150	30	)	)	PUNCT
ijassa-727	150	31	;	;	PUNCT
ijassa-727	150	32	1(3.0	1(3.0	NUM
ijassa-727	150	33	1	1	NUM
ijassa-727	150	34			ADJ
ijassa-727	150	35			ADJ
ijassa-727	150	36			PROPN
ijassa-727	150	37	eqkairframech	eqkairframech	NOUN
ijassa-727	150	38	mm	mm	PROPN
ijassa-727	150	39	.))1(1	.))1(1	PROPN
ijassa-727	150	40	(	(	PUNCT
ijassa-727	150	41	1	1	NUM
ijassa-727	150	42	wetsmkairframe	wetsmkairframe	PROPN
ijassa-727	150	43	aqm	aqm	PROPN
ijassa-727	150	44			NOUN
ijassa-727	150	45			PRON
ijassa-727	150	46			PROPN
ijassa-727	150	47	model	model	NOUN
ijassa-727	150	48	b	b	NOUN
ijassa-727	150	49	:	:	PUNCT
ijassa-727	150	50			NUM
ijassa-727	150	51			NUM
ijassa-727	150	52			NUM
ijassa-727	150	53			NUM
ijassa-727	150	54			PROPN
ijassa-727	150	55			NUM
ijassa-727	150	56			NUM
ijassa-727	150	57			NUM
ijassa-727	150	58			NUM
ijassa-727	150	59			NUM
ijassa-727	150	60			ADP
ijassa-727	150	61			PRON
ijassa-727	150	62			PUNCT
ijassa-727	150	63			SYM
ijassa-727	150	64			NOUN
ijassa-727	150	65			NUM
ijassa-727	150	66			NOUN
ijassa-727	150	67	]	]	PUNCT
ijassa-727	150	68	,	,	PUNCT
ijassa-727	150	69	1,0[,))8.0	1,0[,))8.0	NUM
ijassa-727	150	70	(	(	PUNCT
ijassa-727	150	71	(	(	PUNCT
ijassa-727	150	72	,	,	PUNCT
ijassa-727	150	73	)	)	PUNCT
ijassa-727	150	74	400	400	NUM
ijassa-727	150	75	(	(	PUNCT
ijassa-727	150	76	,	,	PUNCT
ijassa-727	150	77	)	)	PUNCT
ijassa-727	150	78	500	500	NUM
ijassa-727	150	79	(	(	PUNCT
ijassa-727	150	80	]	]	X
ijassa-727	150	81	,	,	PUNCT
ijassa-727	150	82	1,0[,)][(sup	1,0[,)][(sup	NUM
ijassa-727	150	83	,	,	PUNCT
ijassa-727	150	84	max],[min	max],[min	NOUN
ijassa-727	150	85	landingmlandingmlandingmlandingfuel0	landingmlandingmlandingmlandingfuel0	NOUN
ijassa-727	151	1	aa	aa	PROPN
ijassa-727	151	2	aa	aa	PROPN
ijassa-727	151	3	fuelmfuelmfuel	fuelmfuelmfuel	VERB
ijassa-727	151	4	fuelm	fuelm	PROPN
ijassa-727	151	5	0	0	NUM
ijassa-727	151	6	0	0	NUM
ijassa-727	151	7	m	m	NOUN
ijassa-727	151	8	ppmmmmp	ppmmmmp	NOUN
ijassa-727	151	9	m	m	PROPN
ijassa-727	151	10	m	m	NOUN
ijassa-727	151	11	pprmp	pprmp	ADJ
ijassa-727	151	12	rminf	rminf	ADJ
ijassa-727	151	13			X
ijassa-727	151	14			PART
ijassa-727	151	15			PART
ijassa-727	151	16			NUM
ijassa-727	151	17			NUM
ijassa-727	151	18			NOUN
ijassa-727	151	19			X
ijassa-727	151	20	where	where	SCONJ
ijassa-727	151	21	fuelm	fuelm	NOUN
ijassa-727	151	22	p	p	NOUN
ijassa-727	151	23	is	be	AUX
ijassa-727	151	24	level	level	NOUN
ijassa-727	151	25	of	of	ADP
ijassa-727	151	26	probability	probability	NOUN
ijassa-727	151	27	that	that	SCONJ
ijassa-727	151	28	rm	rm	PROPN
ijassa-727	151	29	fuel	fuel	PROPN
ijassa-727	151	30	fuelm	fuelm	PROPN
ijassa-727	151	31	][sup	][sup	PROPN
ijassa-727	151	32	,	,	PUNCT
ijassa-727	151	33	fuelm	fuelm	PROPN
ijassa-727	151	34	is	be	AUX
ijassa-727	151	35	level	level	NOUN
ijassa-727	151	36	of	of	ADP
ijassa-727	151	37	expert	expert	NOUN
ijassa-727	151	38	belief	belief	NOUN
ijassa-727	151	39	degree	degree	NOUN
ijassa-727	151	40	for	for	ADP
ijassa-727	151	41	quantile	quantile	ADJ
ijassa-727	151	42	criterion	criterion	NOUN
ijassa-727	151	43	.	.	PUNCT
ijassa-727	152	1	as	as	SCONJ
ijassa-727	152	2	the	the	DET
ijassa-727	152	3	objective	objective	ADJ
ijassa-727	152	4	functions	function	NOUN
ijassa-727	152	5	are	be	AUX
ijassa-727	152	6	used	use	VERB
ijassa-727	152	7	:	:	PUNCT
ijassa-727	152	8	pepayloadmvam	pepayloadmvam	ADJ
ijassa-727	152	9	mmvminf	mmvminf	ADJ
ijassa-727	152	10	0pc0a0	0pc0a0	NOUN
ijassa-727	152	11	m	m	PROPN
ijassa-727	152	12			NOUN
ijassa-727	152	13			PROPN
ijassa-727	152	14	)	)	PUNCT
ijassa-727	152	15	)	)	PUNCT
ijassa-727	152	16	1	1	NUM
ijassa-727	152	17	(	(	PUNCT
ijassa-727	152	18	)	)	PUNCT
ijassa-727	152	19	(	(	PUNCT
ijassa-727	152	20	(	(	PUNCT
ijassa-727	152	21	]	]	X
ijassa-727	152	22	[	[	PUNCT
ijassa-727	152	23	11	11	NUM
ijassa-727	152	24	0	0	NUM
ijassa-727	152	25			ADP
ijassa-727	152	26			NOUN
ijassa-727	152	27	,	,	PUNCT
ijassa-727	152	28	r	r	NOUN
ijassa-727	152	29	,	,	PUNCT
ijassa-727	152	30	subject	subject	ADJ
ijassa-727	152	31	to	to	ADP
ijassa-727	152	32	models	model	NOUN
ijassa-727	152	33	of	of	ADP
ijassa-727	152	34	uncertain	uncertain	ADJ
ijassa-727	152	35	-	-	PUNCT
ijassa-727	152	36	random	random	ADJ
ijassa-727	152	37	programming	programming	NOUN
ijassa-727	152	38	15	15	NUM
ijassa-727	152	39	copyright	copyright	NOUN
ijassa-727	152	40	©	©	PROPN
ijassa-727	152	41	2019	2019	NUM
ijassa-727	152	42	assa	assa	NOUN
ijassa-727	152	43	.	.	PUNCT
ijassa-727	153	1	adv	adv	PROPN
ijassa-727	153	2	.	.	PUNCT
ijassa-727	154	1	in	in	ADP
ijassa-727	154	2	systems	system	NOUN
ijassa-727	154	3	science	science	NOUN
ijassa-727	154	4	and	and	CCONJ
ijassa-727	154	5	appl	appl	NOUN
ijassa-727	154	6	.	.	PUNCT
ijassa-727	155	1	(	(	PUNCT
ijassa-727	155	2	2019	2019	NUM
ijassa-727	155	3	)	)	PUNCT
ijassa-727	155	4	;)	;)	PUNCT
ijassa-727	155	5	)	)	PUNCT
ijassa-727	155	6	(	(	PUNCT
ijassa-727	155	7	(	(	PUNCT
ijassa-727	155	8	1	1	NUM
ijassa-727	155	9	'	'	PART
ijassa-727	155	10	0	0	NUM
ijassa-727	155	11	fuelmpepayloadrae	fuelmpepayloadrae	NOUN
ijassa-727	155	12	fuelmecmppchairframe	fuelmecmppchairframe	PROPN
ijassa-727	155	13	prmmm	prmmm	PROPN
ijassa-727	155	14	mmmmp	mmmmp	PROPN
ijassa-727	155	15			PROPN
ijassa-727	155	16			PROPN
ijassa-727	155	17			PROPN
ijassa-727	155	18			NOUN
ijassa-727	155	19	;)	;)	PUNCT
ijassa-727	155	20	)	)	PUNCT
ijassa-727	155	21	(	(	PUNCT
ijassa-727	155	22	)	)	PUNCT
ijassa-727	155	23	(	(	PUNCT
ijassa-727	155	24	1	1	NUM
ijassa-727	155	25	(	(	PUNCT
ijassa-727	155	26	11	11	NUM
ijassa-727	155	27	'	'	PART
ijassa-727	155	28	0	0	NUM
ijassa-727	155	29	pepayloadfuelmpcvafuelma	pepayloadfuelmpcvafuelma	NOUN
ijassa-727	155	30	mmvm	mmvm	PROPN
ijassa-727	155	31			NOUN
ijassa-727	155	32			PROPN
ijassa-727	155	33			ADV
ijassa-727	155	34	)	)	PUNCT
ijassa-727	155	35	;	;	PUNCT
ijassa-727	155	36	(	(	PUNCT
ijassa-727	155	37	3.0	3.0	NUM
ijassa-727	155	38	1	1	NUM
ijassa-727	155	39	fuelmeqkairframech	fuelmeqkairframech	NOUN
ijassa-727	155	40	mm	mm	PROPN
ijassa-727	155	41			NOUN
ijassa-727	155	42			ADJ
ijassa-727	155	43	wetsfuelmmkairframe	wetsfuelmmkairframe	NOUN
ijassa-727	155	44	aqm	aqm	PROPN
ijassa-727	155	45	)	)	PUNCT
ijassa-727	155	46	)	)	PUNCT
ijassa-727	156	1	(	(	PUNCT
ijassa-727	156	2	1	1	NUM
ijassa-727	156	3	(	(	PUNCT
ijassa-727	156	4	1	1	NUM
ijassa-727	156	5			NOUN
ijassa-727	156	6			PRON
ijassa-727	156	7	.	.	PUNCT
ijassa-727	157	1	note	note	VERB
ijassa-727	157	2	that	that	SCONJ
ijassa-727	157	3	the	the	DET
ijassa-727	157	4	first	first	ADJ
ijassa-727	157	5	criterion	criterion	NOUN
ijassa-727	157	6	does	do	AUX
ijassa-727	157	7	not	not	PART
ijassa-727	157	8	depend	depend	VERB
ijassa-727	157	9	on	on	ADP
ijassa-727	157	10	random	random	ADJ
ijassa-727	157	11	variables	variable	NOUN
ijassa-727	157	12	and	and	CCONJ
ijassa-727	157	13	is	be	AUX
ijassa-727	157	14	deterministic	deterministic	ADJ
ijassa-727	157	15	.	.	PUNCT
ijassa-727	158	1	we	we	PRON
ijassa-727	158	2	account	account	VERB
ijassa-727	158	3	for	for	ADP
ijassa-727	158	4	constraints	constraint	NOUN
ijassa-727	158	5	for	for	ADP
ijassa-727	158	6	both	both	DET
ijassa-727	158	7	models	model	NOUN
ijassa-727	158	8	as	as	SCONJ
ijassa-727	158	9	follows	follow	VERB
ijassa-727	158	10	.	.	PUNCT
ijassa-727	159	1	the	the	DET
ijassa-727	159	2	constraint	constraint	NOUN
ijassa-727	159	3			INTJ
ijassa-727	159	4	aam	aam	PROPN
ijassa-727	159	5			INTJ
ijassa-727	159	6	)	)	PUNCT
ijassa-727	159	7	500	500	NUM
ijassa-727	159	8	(	(	PUNCT
ijassa-727	159	9	is	be	AUX
ijassa-727	159	10	equivalent	equivalent	ADJ
ijassa-727	159	11	to	to	ADP
ijassa-727	159	12	500)(1	500)(1	NUM
ijassa-727	159	13			PROPN
ijassa-727	160	1	aa	aa	INTJ
ijassa-727	160	2			PRON
ijassa-727	160	3			NOUN
ijassa-727	160	4	.	.	PUNCT
ijassa-727	161	1	the	the	DET
ijassa-727	161	2	constraint	constraint	NOUN
ijassa-727	161	3			NOUN
ijassa-727	161	4	aam	aam	X
ijassa-727	161	5			INTJ
ijassa-727	161	6	)	)	PUNCT
ijassa-727	161	7	400	400	NUM
ijassa-727	161	8	(	(	PUNCT
ijassa-727	161	9	is	be	AUX
ijassa-727	161	10	equivalent	equivalent	ADJ
ijassa-727	161	11	to	to	ADP
ijassa-727	161	12	.400)1(1	.400)1(1	SYM
ijassa-727	161	13			X
ijassa-727	161	14			X
ijassa-727	161	15	aa	aa	NOUN
ijassa-727	161	16			PRON
ijassa-727	161	17			ADJ
ijassa-727	161	18	to	to	PART
ijassa-727	161	19	check	check	VERB
ijassa-727	161	20	constraint	constraint	NOUN
ijassa-727	161	21	on	on	ADP
ijassa-727	161	22	landing	land	VERB
ijassa-727	161	23	weight	weight	NOUN
ijassa-727	161	24	of	of	ADP
ijassa-727	161	25	aircraft	aircraft	NOUN
ijassa-727	161	26	,	,	PUNCT
ijassa-727	161	27	we	we	PRON
ijassa-727	161	28	calculate	calculate	VERB
ijassa-727	161	29	probability	probability	NOUN
ijassa-727	161	30	that	that	SCONJ
ijassa-727	161	31	belief	belief	NOUN
ijassa-727	161	32	degree	degree	NOUN
ijassa-727	161	33	in	in	ADP
ijassa-727	161	34	constraint	constraint	NOUN
ijassa-727	161	35	performing	performing	NOUN
ijassa-727	161	36	will	will	AUX
ijassa-727	161	37	be	be	AUX
ijassa-727	161	38	greater	great	ADJ
ijassa-727	161	39	than	than	ADP
ijassa-727	161	40	the	the	DET
ijassa-727	161	41	specified	specified	ADJ
ijassa-727	161	42	level	level	NOUN
ijassa-727	161	43	:	:	PUNCT
ijassa-727	161	44	landinglanding	landinglande	VERB
ijassa-727	161	45	mmlandingfuel0	mmlandingfuel0	NOUN
ijassa-727	161	46	pmmmmp	pmmmmp	PROPN
ijassa-727	161	47			NOUN
ijassa-727	161	48	)	)	PUNCT
ijassa-727	161	49	)	)	PUNCT
ijassa-727	162	1	8.0	8.0	NUM
ijassa-727	162	2	(	(	PUNCT
ijassa-727	162	3	(	(	PUNCT
ijassa-727	162	4			X
ijassa-727	162	5	.	.	PUNCT
ijassa-727	163	1	this	this	DET
ijassa-727	163	2	inequality	inequality	NOUN
ijassa-727	163	3	is	be	AUX
ijassa-727	163	4	equivalent	equivalent	ADJ
ijassa-727	163	5	to	to	ADP
ijassa-727	163	6	inequality	inequality	NOUN
ijassa-727	163	7	(	(	PUNCT
ijassa-727	163	8	theorem	theorem	ADJ
ijassa-727	163	9	2d	2d	NOUN
ijassa-727	163	10	,	,	PUNCT
ijassa-727	163	11	appendix	appendix	NOUN
ijassa-727	163	12	):	):	PUNCT
ijassa-727	163	13	landingmlandingfuel0	landingmlandingfuel0	X
ijassa-727	163	14	pmmp(m	pmmp(m	NOUN
ijassa-727	163	15			NOUN
ijassa-727	163	16	)	)	PUNCT
ijassa-727	163	17	08.0	08.0	NUM
ijassa-727	163	18	,	,	PUNCT
ijassa-727	163	19	,	,	PUNCT
ijassa-727	163	20	)	)	PUNCT
ijassa-727	163	21	)	)	PUNCT
ijassa-727	163	22	1	1	NUM
ijassa-727	163	23	(	(	PUNCT
ijassa-727	163	24	)	)	PUNCT
ijassa-727	163	25	(	(	PUNCT
ijassa-727	163	26	(	(	PUNCT
ijassa-727	163	27	11	11	NUM
ijassa-727	163	28	0	0	NUM
ijassa-727	163	29	pepayloadlandingmpcvalandingma	pepayloadlandingmpcvalandingma	NOUN
ijassa-727	163	30	mmvm	mmvm	VERB
ijassa-727	163	31			PROPN
ijassa-727	163	32			PROPN
ijassa-727	163	33			ADV
ijassa-727	163	34	,	,	PUNCT
ijassa-727	163	35	)	)	PUNCT
ijassa-727	163	36	(	(	PUNCT
ijassa-727	163	37	1	1	NUM
ijassa-727	163	38	0	0	NUM
ijassa-727	163	39	pepayloadraelandingmecmppchairframefuel	pepayloadraelandingmecmppchairframefuel	NOUN
ijassa-727	163	40	mmmmmmmm	mmmmmmmm	PROPN
ijassa-727	163	41			NOUN
ijassa-727	163	42			PROPN
ijassa-727	163	43			NOUN
ijassa-727	163	44	)	)	PUNCT
ijassa-727	163	45	,	,	PUNCT
ijassa-727	163	46	(	(	PUNCT
ijassa-727	163	47	3.0	3.0	NUM
ijassa-727	163	48	1	1	NUM
ijassa-727	163	49	landingmeqkairframech	landingmeqkairframech	NOUN
ijassa-727	163	50	mm	mm	PROPN
ijassa-727	163	51			NOUN
ijassa-727	163	52			PROPN
ijassa-727	163	53	.))(1	.))(1	PUNCT
ijassa-727	163	54	(	(	PUNCT
ijassa-727	163	55	1	1	NUM
ijassa-727	163	56	wetslandingmmkairframe	wetslandingmmkairframe	NOUN
ijassa-727	163	57	aqm	aqm	NOUN
ijassa-727	163	58			NOUN
ijassa-727	163	59			PRON
ijassa-727	163	60	to	to	PART
ijassa-727	163	61	calculate	calculate	VERB
ijassa-727	163	62	weight	weight	NOUN
ijassa-727	163	63	parameters	parameter	NOUN
ijassa-727	163	64	of	of	ADP
ijassa-727	163	65	aircraft	aircraft	NOUN
ijassa-727	163	66	,	,	PUNCT
ijassa-727	163	67	we	we	PRON
ijassa-727	163	68	use	use	VERB
ijassa-727	163	69	multicriteria	multicriteria	NOUN
ijassa-727	163	70	genetic	genetic	ADJ
ijassa-727	163	71	algorithm	algorithm	NOUN
ijassa-727	163	72	and	and	CCONJ
ijassa-727	163	73	statistical	statistical	ADJ
ijassa-727	163	74	modeling	modeling	NOUN
ijassa-727	163	75	.	.	PUNCT
ijassa-727	164	1	3.2	3.2	NUM
ijassa-727	164	2	.	.	PUNCT
ijassa-727	164	3	methods	method	NOUN
ijassa-727	164	4	and	and	CCONJ
ijassa-727	164	5	results	result	NOUN
ijassa-727	164	6	we	we	PRON
ijassa-727	164	7	apply	apply	VERB
ijassa-727	164	8	a	a	DET
ijassa-727	164	9	genetic	genetic	ADJ
ijassa-727	164	10	algorithm	algorithm	NOUN
ijassa-727	164	11	of	of	ADP
ijassa-727	164	12	multicriteria	multicriteria	PROPN
ijassa-727	164	13	optimization	optimization	NOUN
ijassa-727	164	14	with	with	ADP
ijassa-727	164	15	values	value	NOUN
ijassa-727	164	16			NOUN
ijassa-727	164	17	a	a	NOUN
ijassa-727	164	18			X
ijassa-727	164	19	,	,	PUNCT
ijassa-727	164	20			NUM
ijassa-727	164	21	a	a	NOUN
ijassa-727	164	22			X
ijassa-727	164	23	,	,	PUNCT
ijassa-727	164	24	sbm	sbm	PROPN
ijassa-727	164	25			PROPN
ijassa-727	164	26	,	,	PUNCT
ijassa-727	164	27	sbm	sbm	PROPN
ijassa-727	164	28	p	p	PROPN
ijassa-727	164	29	given	give	VERB
ijassa-727	164	30	by	by	ADP
ijassa-727	164	31	the	the	DET
ijassa-727	164	32	designer	designer	NOUN
ijassa-727	164	33	.	.	PUNCT
ijassa-727	165	1	we	we	PRON
ijassa-727	165	2	calculate	calculate	VERB
ijassa-727	165	3	the	the	DET
ijassa-727	165	4	probabilistic	probabilistic	ADJ
ijassa-727	165	5	characteristic	characteristic	NOUN
ijassa-727	165	6	of	of	ADP
ijassa-727	165	7	uncertain	uncertain	ADJ
ijassa-727	165	8	-	-	PUNCT
ijassa-727	165	9	random	random	ADJ
ijassa-727	165	10	values	value	NOUN
ijassa-727	165	11	based	base	VERB
ijassa-727	165	12	on	on	ADP
ijassa-727	165	13	the	the	DET
ijassa-727	165	14	monte	monte	PROPN
ijassa-727	165	15	carlo	carlo	PROPN
ijassa-727	165	16	statistical	statistical	ADJ
ijassa-727	165	17	modeling	modeling	NOUN
ijassa-727	165	18	method	method	NOUN
ijassa-727	165	19	.	.	PUNCT
ijassa-727	166	1	as	as	ADP
ijassa-727	166	2	an	an	DET
ijassa-727	166	3	example	example	NOUN
ijassa-727	166	4	,	,	PUNCT
ijassa-727	166	5	we	we	PRON
ijassa-727	166	6	present	present	VERB
ijassa-727	166	7	the	the	DET
ijassa-727	166	8	calculation	calculation	NOUN
ijassa-727	166	9	algorithm	algorithm	NOUN
ijassa-727	166	10	for	for	ADP
ijassa-727	166	11	model	model	NOUN
ijassa-727	166	12	a	a	DET
ijassa-727	166	13	presented	present	VERB
ijassa-727	166	14	in	in	ADP
ijassa-727	166	15	section	section	NOUN
ijassa-727	166	16	3.1	3.1	NUM
ijassa-727	166	17	.	.	PUNCT
ijassa-727	167	1	for	for	ADP
ijassa-727	167	2	each	each	DET
ijassa-727	167	3	combination	combination	NOUN
ijassa-727	167	4	of	of	ADP
ijassa-727	167	5	variable	variable	ADJ
ijassa-727	167	6	design	design	NOUN
ijassa-727	167	7	parameters	parameter	NOUN
ijassa-727	167	8	,	,	PUNCT
ijassa-727	167	9	we	we	PRON
ijassa-727	167	10	calculate	calculate	VERB
ijassa-727	167	11	the	the	DET
ijassa-727	167	12	values	value	NOUN
ijassa-727	167	13	of	of	ADP
ijassa-727	167	14	objective	objective	ADJ
ijassa-727	167	15	functions	function	NOUN
ijassa-727	167	16	using	use	VERB
ijassa-727	167	17	following	follow	VERB
ijassa-727	167	18	formulas	formula	NOUN
ijassa-727	167	19	:	:	PUNCT
ijassa-727	167	20			PUNCT
ijassa-727	167	21			NOUN
ijassa-727	167	22			NOUN
ijassa-727	168	1	1	1	NUM
ijassa-727	168	2	0	0	NUM
ijassa-727	168	3	11	11	NUM
ijassa-727	168	4	0	0	NUM
ijassa-727	168	5	,	,	PUNCT
ijassa-727	168	6	)	)	PUNCT
ijassa-727	168	7	)	)	PUNCT
ijassa-727	168	8	)	)	PUNCT
ijassa-727	168	9	1	1	NUM
ijassa-727	168	10	(	(	PUNCT
ijassa-727	168	11	)	)	PUNCT
ijassa-727	168	12	(	(	PUNCT
ijassa-727	168	13	(	(	PUNCT
ijassa-727	168	14	(	(	PUNCT
ijassa-727	168	15	]	]	X
ijassa-727	168	16	[	[	PUNCT
ijassa-727	168	17			X
ijassa-727	168	18	dmmvme	dmmvme	ADJ
ijassa-727	168	19	pepayloadva	pepayloadva	NOUN
ijassa-727	168	20	pca	pca	PROPN
ijassa-727	168	21	,	,	PUNCT
ijassa-727	168	22	)	)	PUNCT
ijassa-727	168	23	)	)	PUNCT
ijassa-727	169	1	(	(	PUNCT
ijassa-727	169	2	(	(	PUNCT
ijassa-727	169	3	]	]	X
ijassa-727	169	4	[	[	PUNCT
ijassa-727	169	5			X
ijassa-727	169	6			X
ijassa-727	169	7	dmmm	dmmm	PROPN
ijassa-727	169	8	1mmmm	1mmmm	PROPN
ijassa-727	169	9	n	n	ADV
ijassa-727	169	10	1	1	NUM
ijassa-727	169	11	me	me	PROPN
ijassa-727	169	12	pepayloadrae	pepayloadrae	NOUN
ijassa-727	169	13	n	n	NOUN
ijassa-727	169	14	1i	1i	NUM
ijassa-727	169	15	1	1	NUM
ijassa-727	169	16	0	0	NUM
ijassa-727	169	17	1	1	NUM
ijassa-727	169	18	ecmppchairframe	ecmppchairframe	NOUN
ijassa-727	169	19	'	'	PUNCT
ijassa-727	169	20	0fuel	0fuel	NUM
ijassa-727	170	1			NOUN
ijassa-727	170	2			NOUN
ijassa-727	170	3			NUM
ijassa-727	170	4			PROPN
ijassa-727	170	5			NOUN
ijassa-727	170	6	,	,	PUNCT
ijassa-727	170	7	)	)	PUNCT
ijassa-727	170	8	)	)	PUNCT
ijassa-727	170	9	(	(	PUNCT
ijassa-727	170	10	)	)	PUNCT
ijassa-727	170	11	(	(	PUNCT
ijassa-727	170	12	(	(	PUNCT
ijassa-727	170	13	pepayload	pepayload	NOUN
ijassa-727	170	14	1	1	NUM
ijassa-727	170	15	pcva	pcva	NOUN
ijassa-727	170	16	1	1	NUM
ijassa-727	170	17	a	a	DET
ijassa-727	170	18	'	'	PUNCT
ijassa-727	170	19	0	0	NUM
ijassa-727	170	20	mm1vm	mm1vm	NOUN
ijassa-727	170	21			NOUN
ijassa-727	170	22			NUM
ijassa-727	170	23			ADV
ijassa-727	170	24	)	)	PUNCT
ijassa-727	170	25	,	,	PUNCT
ijassa-727	170	26	1(3.0	1(3.0	NUM
ijassa-727	170	27	1	1	NUM
ijassa-727	170	28			ADJ
ijassa-727	170	29			ADJ
ijassa-727	170	30			PROPN
ijassa-727	170	31	eqkairframech	eqkairframech	PROPN
ijassa-727	170	32	mm	mm	PROPN
ijassa-727	170	33	,	,	PUNCT
ijassa-727	170	34	)	)	PUNCT
ijassa-727	170	35	)	)	PUNCT
ijassa-727	170	36	(	(	PUNCT
ijassa-727	170	37	(	(	PUNCT
ijassa-727	170	38	wets	wets	AUX
ijassa-727	170	39	1	1	NUM
ijassa-727	170	40	mkairframe	mkairframe	NOUN
ijassa-727	170	41	aq11	aq11	PROPN
ijassa-727	170	42	m	m	PROPN
ijassa-727	170	43			NOUN
ijassa-727	170	44			PRON
ijassa-727	170	45			VERB
ijassa-727	170	46	16	16	NUM
ijassa-727	170	47	g.s	g.s	PROPN
ijassa-727	170	48	.	.	PROPN
ijassa-727	170	49	veresnikov	veresnikov	PROPN
ijassa-727	170	50	,	,	PUNCT
ijassa-727	170	51	l.a	l.a	PROPN
ijassa-727	170	52	.	.	PROPN
ijassa-727	170	53	pankova	pankova	PROPN
ijassa-727	170	54	,	,	PUNCT
ijassa-727	171	1	v.a	v.a	PROPN
ijassa-727	171	2	.	.	PROPN
ijassa-727	171	3	pronina	pronina	PROPN
ijassa-727	171	4	copyright	copyright	NOUN
ijassa-727	171	5	©	©	PROPN
ijassa-727	171	6	2019	2019	NUM
ijassa-727	171	7	assa	assa	PROPN
ijassa-727	171	8	adv	adv	PROPN
ijassa-727	171	9	.	.	PUNCT
ijassa-727	172	1	in	in	ADP
ijassa-727	172	2	systems	system	NOUN
ijassa-727	172	3	science	science	NOUN
ijassa-727	172	4	and	and	CCONJ
ijassa-727	172	5	appl	appl	NOUN
ijassa-727	172	6	.	.	PUNCT
ijassa-727	173	1	(	(	PUNCT
ijassa-727	173	2	2019	2019	NUM
ijassa-727	173	3	)	)	PUNCT
ijassa-727	173	4	,	,	PUNCT
ijassa-727	173	5	lg)lg	lg)lg	X
ijassa-727	173	6	}	}	PUNCT
ijassa-727	173	7	(	(	PUNCT
ijassa-727	173	8	{	{	PUNCT
ijassa-727	173	9	}	}	PUNCT
ijassa-727	173	10	{	{	PUNCT
ijassa-727	173	11	aai1qsi0qss	aai1qsi0qss	PROPN
ijassa-727	173	12	vvkkq	vvkkq	PROPN
ijassa-727	173	13			VERB
ijassa-727	173	14	)	)	PUNCT
ijassa-727	173	15	.	.	PUNCT
ijassa-727	173	16	}	}	PUNCT
ijassa-727	173	17	{	{	PUNCT
ijassa-727	173	18	}	}	PUNCT
ijassa-727	173	19	(	(	PUNCT
ijassa-727	173	20	{	{	PUNCT
ijassa-727	173	21	}	}	PUNCT
ijassa-727	173	22	{	{	PUNCT
ijassa-727	173	23	}	}	PUNCT
ijassa-727	173	24	{	{	PUNCT
ijassa-727	173	25	10	10	NUM
ijassa-727	173	26	wet	wet	ADJ
ijassa-727	173	27	a	a	DET
ijassa-727	173	28	iengiengiiengpp	iengiengiiengpp	NOUN
ijassa-727	173	29	a	a	DET
ijassa-727	173	30	v	v	NOUN
ijassa-727	173	31	kktm	kktm	PROPN
ijassa-727	173	32			PROPN
ijassa-727	173	33			NUM
ijassa-727	173	34	where	where	SCONJ
ijassa-727	173	35	1	1	NUM
ijassa-727	173	36	a	a	NOUN
ijassa-727	173	37			PROPN
ijassa-727	173	38	,	,	PUNCT
ijassa-727	173	39	1	1	NUM
ijassa-727	173	40	pcv	pcv	NOUN
ijassa-727	173	41	,	,	PUNCT
ijassa-727	173	42	1	1	NUM
ijassa-727	173	43	ecm	ecm	PROPN
ijassa-727	173	44	,	,	PUNCT
ijassa-727	173	45	1	1	NUM
ijassa-727	173	46	eqk	eqk	ADJ
ijassa-727	173	47	,	,	PUNCT
ijassa-727	173	48	1	1	NUM
ijassa-727	173	49	mk	mk	VERB
ijassa-727	173	50	are	be	AUX
ijassa-727	173	51	inverse	inverse	ADJ
ijassa-727	173	52	uncertainty	uncertainty	NOUN
ijassa-727	173	53	distributions	distribution	NOUN
ijassa-727	173	54	for	for	ADP
ijassa-727	173	55	the	the	DET
ijassa-727	173	56	parameters	parameter	NOUN
ijassa-727	173	57	a	a	NOUN
ijassa-727	173	58	,	,	PUNCT
ijassa-727	173	59	pcv	pcv	NOUN
ijassa-727	173	60	,	,	PUNCT
ijassa-727	173	61	ecm	ecm	NOUN
ijassa-727	173	62	,	,	PUNCT
ijassa-727	173	63	eqk	eqk	NOUN
ijassa-727	173	64	,	,	PUNCT
ijassa-727	173	65	mk	mk	PROPN
ijassa-727	173	66	;	;	PUNCT
ijassa-727	173	67	n	n	X
ijassa-727	173	68	is	be	AUX
ijassa-727	173	69	number	number	NOUN
ijassa-727	173	70	of	of	ADP
ijassa-727	173	71	value	value	NOUN
ijassa-727	173	72	combinations	combination	NOUN
ijassa-727	173	73	for	for	ADP
ijassa-727	173	74	parameter	parameter	NOUN
ijassa-727	174	1	0qsk	0qsk	PROPN
ijassa-727	174	2	,	,	PUNCT
ijassa-727	174	3	1qsk	1qsk	PROPN
ijassa-727	174	4	,	,	PUNCT
ijassa-727	174	5	0engk	0engk	PROPN
ijassa-727	174	6	,	,	PUNCT
ijassa-727	174	7	1engk	1engk	NUM
ijassa-727	174	8	,	,	PUNCT
ijassa-727	174	9	eng	eng	PUNCT
ijassa-727	174	10	,	,	PUNCT
ijassa-727	174	11	t	t	PROPN
ijassa-727	174	12	while	while	SCONJ
ijassa-727	174	13	we	we	PRON
ijassa-727	174	14	form	form	VERB
ijassa-727	174	15	the	the	DET
ijassa-727	174	16	values	value	NOUN
ijassa-727	174	17	of	of	ADP
ijassa-727	174	18	the	the	DET
ijassa-727	174	19	parameters	parameter	NOUN
ijassa-727	174	20	in	in	ADP
ijassa-727	174	21	accordance	accordance	NOUN
ijassa-727	174	22	with	with	ADP
ijassa-727	174	23	the	the	DET
ijassa-727	174	24	specified	specified	ADJ
ijassa-727	174	25	probability	probability	NOUN
ijassa-727	174	26	distributions	distribution	NOUN
ijassa-727	174	27	;	;	PUNCT
ijassa-727	174	28	{	{	PUNCT
ijassa-727	174	29	●	●	NOUN
ijassa-727	174	30	}	}	PUNCT
ijassa-727	174	31	i	i	PRON
ijassa-727	174	32	is	be	AUX
ijassa-727	174	33	the	the	DET
ijassa-727	174	34	i	i	PROPN
ijassa-727	174	35	-	-	PUNCT
ijassa-727	174	36	th	th	X
ijassa-727	174	37	element	element	NOUN
ijassa-727	174	38	of	of	ADP
ijassa-727	174	39	value	value	NOUN
ijassa-727	174	40	set	set	VERB
ijassa-727	174	41	for	for	ADP
ijassa-727	174	42	parameter	parameter	NOUN
ijassa-727	174	43	{	{	PUNCT
ijassa-727	174	44	●	●	NOUN
ijassa-727	174	45	}	}	PUNCT
ijassa-727	174	46	formed	form	VERB
ijassa-727	174	47	by	by	ADP
ijassa-727	174	48	statistical	statistical	ADJ
ijassa-727	174	49	modeling	modeling	NOUN
ijassa-727	174	50	.	.	PUNCT
ijassa-727	175	1	the	the	DET
ijassa-727	175	2	constraint	constraint	NOUN
ijassa-727	175	3			INTJ
ijassa-727	175	4	aam	aam	PROPN
ijassa-727	175	5			INTJ
ijassa-727	175	6	)	)	PUNCT
ijassa-727	175	7	500	500	NUM
ijassa-727	175	8	(	(	PUNCT
ijassa-727	175	9	is	be	AUX
ijassa-727	175	10	equivalent	equivalent	ADJ
ijassa-727	175	11	to	to	ADP
ijassa-727	175	12	500)(1	500)(1	NUM
ijassa-727	175	13			PROPN
ijassa-727	176	1	aa	aa	INTJ
ijassa-727	176	2			PRON
ijassa-727	176	3			NOUN
ijassa-727	176	4	.	.	PUNCT
ijassa-727	177	1	the	the	DET
ijassa-727	177	2	constraint	constraint	NOUN
ijassa-727	177	3			NOUN
ijassa-727	177	4	aam	aam	X
ijassa-727	177	5			INTJ
ijassa-727	177	6	)	)	PUNCT
ijassa-727	177	7	400	400	NUM
ijassa-727	177	8	(	(	PUNCT
ijassa-727	177	9	is	be	AUX
ijassa-727	177	10	equivalent	equivalent	ADJ
ijassa-727	177	11	to	to	ADP
ijassa-727	177	12	400)1(1	400)1(1	NUM
ijassa-727	177	13			X
ijassa-727	177	14			X
ijassa-727	177	15	aa	aa	NOUN
ijassa-727	177	16			PRON
ijassa-727	177	17			NOUN
ijassa-727	177	18	.	.	PUNCT
ijassa-727	178	1	to	to	PART
ijassa-727	178	2	check	check	VERB
ijassa-727	178	3	the	the	DET
ijassa-727	178	4	restrictions	restriction	NOUN
ijassa-727	178	5	on	on	ADP
ijassa-727	178	6	the	the	DET
ijassa-727	178	7	landing	landing	NOUN
ijassa-727	178	8	weight	weight	NOUN
ijassa-727	178	9	,	,	PUNCT
ijassa-727	178	10	an	an	DET
ijassa-727	178	11	approximate	approximate	ADJ
ijassa-727	178	12	probability	probability	NOUN
ijassa-727	178	13	value	value	NOUN
ijassa-727	178	14	is	be	AUX
ijassa-727	178	15	calculated	calculate	VERB
ijassa-727	178	16	:	:	PUNCT
ijassa-727	178	17	,	,	PUNCT
ijassa-727	178	18	]	]	PUNCT
ijassa-727	178	19	.	.	PUNCT
ijassa-727	179	1	[	[	X
ijassa-727	179	2	)	)	PUNCT
ijassa-727	179	3	)	)	PUNCT
ijassa-727	179	4	.	.	PUNCT
ijassa-727	180	1	(	(	PUNCT
ijassa-727	180	2	(	(	PUNCT
ijassa-727	180	3			X
ijassa-727	180	4			NUM
ijassa-727	180	5			PROPN
ijassa-727	180	6	n	n	CCONJ
ijassa-727	180	7	1i	1i	NUM
ijassa-727	180	8	fuel0landingmlandingfuel0	fuel0landingmlandingfuel0	NOUN
ijassa-727	180	9	m80mi	m80mi	ADJ
ijassa-727	180	10	n	n	PRON
ijassa-727	180	11	1	1	NUM
ijassa-727	180	12	mm80mmp	mm80mmp	NOUN
ijassa-727	180	13			NOUN
ijassa-727	180	14	where	where	SCONJ
ijassa-727	180	15			NOUN
ijassa-727	180	16			NUM
ijassa-727	180	17			NUM
ijassa-727	180	18			ADV
ijassa-727	180	19			VERB
ijassa-727	180	20			PROPN
ijassa-727	180	21	иначе0	иначе0	PROPN
ijassa-727	180	22	mm80m1	mm80m1	PROPN
ijassa-727	180	23	m80mi	m80mi	ADJ
ijassa-727	180	24	landingfuel0	landingfuel0	PROPN
ijassa-727	180	25	fuel0	fuel0	NOUN
ijassa-727	180	26	,	,	PUNCT
ijassa-727	180	27	.	.	PUNCT
ijassa-727	181	1	,	,	PUNCT
ijassa-727	182	1	]	]	PUNCT
ijassa-727	182	2	.	.	PUNCT
ijassa-727	183	1	[	[	PUNCT
ijassa-727	183	2	,	,	PUNCT
ijassa-727	183	3	,	,	PUNCT
ijassa-727	183	4	)	)	PUNCT
ijassa-727	183	5	)	)	PUNCT
ijassa-727	183	6	(	(	PUNCT
ijassa-727	183	7	)	)	PUNCT
ijassa-727	183	8	(	(	PUNCT
ijassa-727	183	9	(	(	PUNCT
ijassa-727	183	10	pepayloadlandingm	pepayloadlandingm	NOUN
ijassa-727	183	11	1	1	NUM
ijassa-727	183	12	pcvalandingm	pcvalandingm	NOUN
ijassa-727	183	13	1	1	NUM
ijassa-727	183	14	a0	a0	NOUN
ijassa-727	183	15	mm1vm	mm1vm	PROPN
ijassa-727	183	16			PUNCT
ijassa-727	184	1			PROPN
ijassa-727	184	2			ADV
ijassa-727	184	3	,	,	PUNCT
ijassa-727	184	4	)	)	PUNCT
ijassa-727	184	5	(	(	PUNCT
ijassa-727	184	6	pepayloadraelandingm	pepayloadraelandingm	ADJ
ijassa-727	184	7	1	1	NUM
ijassa-727	184	8	ecmppchairframe0fuel	ecmppchairframe0fuel	NOUN
ijassa-727	184	9	mmmmmmmm	mmmmmmmm	PROPN
ijassa-727	184	10			NOUN
ijassa-727	184	11			PROPN
ijassa-727	184	12			NOUN
ijassa-727	184	13	)	)	PUNCT
ijassa-727	184	14	,	,	PUNCT
ijassa-727	184	15	(	(	PUNCT
ijassa-727	184	16	.	.	PUNCT
ijassa-727	185	1	landingm	landingm	PROPN
ijassa-727	185	2	1	1	NUM
ijassa-727	185	3	eqkairframech	eqkairframech	NOUN
ijassa-727	185	4	m30	m30	PROPN
ijassa-727	185	5	m	m	PROPN
ijassa-727	185	6			ADJ
ijassa-727	185	7			PROPN
ijassa-727	185	8	,	,	PUNCT
ijassa-727	185	9	)	)	PUNCT
ijassa-727	185	10	)	)	PUNCT
ijassa-727	185	11	(	(	PUNCT
ijassa-727	185	12	(	(	PUNCT
ijassa-727	185	13	wetslandingm	wetslandingm	NOUN
ijassa-727	185	14	1	1	NUM
ijassa-727	185	15	mkairframe	mkairframe	NOUN
ijassa-727	185	16	aq1	aq1	NOUN
ijassa-727	185	17	m	m	NOUN
ijassa-727	185	18			NOUN
ijassa-727	185	19			PRON
ijassa-727	186	1	the	the	DET
ijassa-727	186	2	constraint	constraint	NOUN
ijassa-727	186	3	is	be	AUX
ijassa-727	186	4	satisfied	satisfied	ADJ
ijassa-727	186	5	subject	subject	ADJ
ijassa-727	186	6	to	to	ADP
ijassa-727	186	7	landingmlandingmlandingfuel0	landingmlandingmlandingfuel0	PROPN
ijassa-727	186	8	pmm50mmp	pmm50mmp	PROPN
ijassa-727	186	9			NOUN
ijassa-727	186	10	)	)	PUNCT
ijassa-727	186	11	)	)	PUNCT
ijassa-727	186	12	.	.	PUNCT
ijassa-727	187	1	(	(	PUNCT
ijassa-727	187	2	(	(	PUNCT
ijassa-727	187	3			X
ijassa-727	187	4	.	.	PUNCT
ijassa-727	188	1	data	datum	NOUN
ijassa-727	188	2	on	on	ADP
ijassa-727	188	3	uncertain	uncertain	ADJ
ijassa-727	188	4	and	and	CCONJ
ijassa-727	188	5	random	random	ADJ
ijassa-727	188	6	parameters	parameter	NOUN
ijassa-727	188	7	obtained	obtain	VERB
ijassa-727	188	8	from	from	ADP
ijassa-727	188	9	experts	expert	NOUN
ijassa-727	188	10	and	and	CCONJ
ijassa-727	188	11	statistics	statistic	NOUN
ijassa-727	188	12	collection	collection	NOUN
ijassa-727	188	13	are	be	AUX
ijassa-727	188	14	approximated	approximate	VERB
ijassa-727	188	15	by	by	ADP
ijassa-727	188	16	uncertainty	uncertainty	NOUN
ijassa-727	188	17	and	and	CCONJ
ijassa-727	188	18	probability	probability	NOUN
ijassa-727	188	19	distribution	distribution	NOUN
ijassa-727	188	20	functions	function	NOUN
ijassa-727	188	21	.	.	PUNCT
ijassa-727	189	1	normal	normal	ADJ
ijassa-727	189	2	distributions	distribution	NOUN
ijassa-727	189	3	are	be	AUX
ijassa-727	189	4	most	most	ADV
ijassa-727	189	5	often	often	ADV
ijassa-727	189	6	used	use	VERB
ijassa-727	189	7	in	in	ADP
ijassa-727	189	8	the	the	DET
ijassa-727	189	9	design	design	NOUN
ijassa-727	189	10	of	of	ADP
ijassa-727	189	11	technical	technical	ADJ
ijassa-727	189	12	objects	object	NOUN
ijassa-727	189	13	for	for	ADP
ijassa-727	189	14	approximation	approximation	NOUN
ijassa-727	189	15	.	.	PUNCT
ijassa-727	190	1	we	we	PRON
ijassa-727	190	2	will	will	AUX
ijassa-727	190	3	conduct	conduct	VERB
ijassa-727	190	4	research	research	NOUN
ijassa-727	190	5	for	for	ADP
ijassa-727	190	6	these	these	DET
ijassa-727	190	7	types	type	NOUN
ijassa-727	190	8	of	of	ADP
ijassa-727	190	9	distribution	distribution	NOUN
ijassa-727	190	10	of	of	ADP
ijassa-727	190	11	uncertainty	uncertainty	NOUN
ijassa-727	190	12	and	and	CCONJ
ijassa-727	190	13	probability	probability	NOUN
ijassa-727	190	14	.	.	PUNCT
ijassa-727	191	1	to	to	PART
ijassa-727	191	2	generate	generate	VERB
ijassa-727	191	3	the	the	DET
ijassa-727	191	4	values	value	NOUN
ijassa-727	191	5	of	of	ADP
ijassa-727	191	6	each	each	DET
ijassa-727	191	7	random	random	ADJ
ijassa-727	191	8	parameter	parameter	NOUN
ijassa-727	191	9	,	,	PUNCT
ijassa-727	191	10	we	we	PRON
ijassa-727	191	11	used	use	VERB
ijassa-727	191	12	the	the	DET
ijassa-727	191	13	standard	standard	ADJ
ijassa-727	191	14	normal	normal	ADJ
ijassa-727	191	15	distribution	distribution	NOUN
ijassa-727	191	16	.	.	PUNCT
ijassa-727	192	1			PROPN
ijassa-727	192	2			PROPN
ijassa-727	193	1			PROPN
ijassa-727	193	2			NOUN
ijassa-727	194	1			PROPN
ijassa-727	195	1			PROPN
ijassa-727	196	1			PROPN
ijassa-727	196	2			PROPN
ijassa-727	197	1			PROPN
ijassa-727	197	2			NOUN
ijassa-727	197	3			PROPN
ijassa-727	198	1			PROPN
ijassa-727	199	1			PROPN
ijassa-727	199	2			NOUN
ijassa-727	200	1			PROPN
ijassa-727	201	1			PROPN
ijassa-727	202	1			PROPN
ijassa-727	202	2			PROPN
ijassa-727	202	3			PROPN
ijassa-727	202	4			PROPN
ijassa-727	202	5			PROPN
ijassa-727	202	6			ADJ
ijassa-727	202	7			NOUN
ijassa-727	202	8			NOUN
ijassa-727	202	9			NOUN
ijassa-727	202	10	2	2	NUM
ijassa-727	202	11	2	2	NUM
ijassa-727	202	12	(	(	PUNCT
ijassa-727	202	13	(	(	PUNCT
ijassa-727	202	14	(	(	PUNCT
ijassa-727	202	15	2	2	NUM
ijassa-727	202	16	)	)	PUNCT
ijassa-727	202	17	(	(	PUNCT
ijassa-727	202	18	1	1	NUM
ijassa-727	202	19	2	2	NUM
ijassa-727	202	20	1	1	NUM
ijassa-727	202	21	)	)	PUNCT
ijassa-727	202	22	(	(	PUNCT
ijassa-727	202	23	)	)	PUNCT
ijassa-727	202	24	)	)	PUNCT
ijassa-727	202	25	)	)	PUNCT
ijassa-727	203	1	x	x	SYM
ijassa-727	203	2	erfx	erfx	NOUN
ijassa-727	203	3			NOUN
ijassa-727	203	4			NOUN
ijassa-727	203	5			NOUN
ijassa-727	203	6			NOUN
ijassa-727	203	7	,	,	PUNCT
ijassa-727	203	8			NOUN
ijassa-727	203	9	x	x	PUNCT
ijassa-727	203	10	tdtexerf	tdtexerf	NOUN
ijassa-727	203	11	2	2	NUM
ijassa-727	203	12	0	0	NUM
ijassa-727	203	13	1	1	NUM
ijassa-727	203	14	)	)	PUNCT
ijassa-727	203	15	(	(	PUNCT
ijassa-727	203	16			PROPN
ijassa-727	203	17	.	.	PUNCT
ijassa-727	204	1	for	for	ADP
ijassa-727	204	2	each	each	DET
ijassa-727	204	3	epistemic	epistemic	ADJ
ijassa-727	204	4	parameter	parameter	NOUN
ijassa-727	204	5	,	,	PUNCT
ijassa-727	204	6	we	we	PRON
ijassa-727	204	7	set	set	VERB
ijassa-727	204	8	the	the	DET
ijassa-727	204	9	normal	normal	ADJ
ijassa-727	204	10	uncertainty	uncertainty	NOUN
ijassa-727	204	11	distribution	distribution	NOUN
ijassa-727	204	12	function	function	NOUN
ijassa-727	204	13	:	:	PUNCT
ijassa-727	204	14	1	1	NUM
ijassa-727	204	15	(	(	PUNCT
ijassa-727	204	16	(	(	PUNCT
ijassa-727	204	17	(	(	PUNCT
ijassa-727	204	18	3	3	NUM
ijassa-727	204	19	)	)	PUNCT
ijassa-727	204	20	(	(	PUNCT
ijassa-727	204	21	1	1	NUM
ijassa-727	204	22	)	)	PUNCT
ijassa-727	204	23	(	(	PUNCT
ijassa-727	204	24			VERB
ijassa-727	204	25			PRON
ijassa-727	204	26			PUNCT
ijassa-727	205	1			PROPN
ijassa-727	205	2			PROPN
ijassa-727	206	1			PROPN
ijassa-727	206	2			NOUN
ijassa-727	207	1			PROPN
ijassa-727	208	1			PROPN
ijassa-727	209	1			PROPN
ijassa-727	209	2			PROPN
ijassa-727	210	1			PROPN
ijassa-727	210	2			NOUN
ijassa-727	210	3			PROPN
ijassa-727	211	1			PROPN
ijassa-727	212	1			PROPN
ijassa-727	212	2			NOUN
ijassa-727	213	1			PROPN
ijassa-727	214	1			PROPN
ijassa-727	215	1			PROPN
ijassa-727	215	2			PROPN
ijassa-727	215	3			PROPN
ijassa-727	215	4			PROPN
ijassa-727	215	5			PROPN
ijassa-727	215	6			ADJ
ijassa-727	215	7			PRON
ijassa-727	215	8	)	)	PUNCT
ijassa-727	215	9	e	e	X
ijassa-727	215	10	)	)	PUNCT
ijassa-727	215	11	)	)	PUNCT
ijassa-727	216	1	xe	xe	PROPN
ijassa-727	216	2	expx	expx	VERB
ijassa-727	216	3			PROPN
ijassa-727	216	4			PROPN
ijassa-727	216	5			PROPN
ijassa-727	216	6	,	,	PUNCT
ijassa-727	216	7			X
ijassa-727	216	8			X
ijassa-727	216	9			NOUN
ijassa-727	216	10			PROPN
ijassa-727	216	11			ADJ
ijassa-727	216	12			NOUN
ijassa-727	216	13			ADJ
ijassa-727	216	14			NOUN
ijassa-727	216	15			PRON
ijassa-727	217	1			NOUN
ijassa-727	217	2	1	1	NUM
ijassa-727	217	3	ln	ln	NOUN
ijassa-727	217	4	3	3	NUM
ijassa-727	217	5	)	)	PUNCT
ijassa-727	217	6	(	(	PUNCT
ijassa-727	217	7	(	(	PUNCT
ijassa-727	217	8	(	(	PUNCT
ijassa-727	217	9	1	1	X
ijassa-727	217	10	)	)	PUNCT
ijassa-727	217	11	e	e	NOUN
ijassa-727	217	12	)	)	PUNCT
ijassa-727	217	13	e	e	X
ijassa-727	217	14	.	.	PUNCT
ijassa-727	218	1	models	model	NOUN
ijassa-727	218	2	of	of	ADP
ijassa-727	218	3	uncertain	uncertain	ADJ
ijassa-727	218	4	-	-	PUNCT
ijassa-727	218	5	random	random	ADJ
ijassa-727	218	6	programming	programming	NOUN
ijassa-727	218	7	17	17	NUM
ijassa-727	218	8	copyright	copyright	NOUN
ijassa-727	218	9	©	©	PROPN
ijassa-727	218	10	2019	2019	NUM
ijassa-727	218	11	assa	assa	NOUN
ijassa-727	218	12	.	.	PUNCT
ijassa-727	219	1	adv	adv	PROPN
ijassa-727	219	2	.	.	PUNCT
ijassa-727	220	1	in	in	ADP
ijassa-727	220	2	systems	system	NOUN
ijassa-727	220	3	science	science	NOUN
ijassa-727	220	4	and	and	CCONJ
ijassa-727	220	5	appl	appl	NOUN
ijassa-727	220	6	.	.	PUNCT
ijassa-727	221	1	(	(	PUNCT
ijassa-727	221	2	2019	2019	NUM
ijassa-727	221	3	)	)	PUNCT
ijassa-727	221	4	we	we	PRON
ijassa-727	221	5	used	use	VERB
ijassa-727	221	6	the	the	DET
ijassa-727	221	7	nominal	nominal	ADJ
ijassa-727	221	8	(	(	PUNCT
ijassa-727	221	9	mean	mean	ADJ
ijassa-727	221	10	)	)	PUNCT
ijassa-727	221	11	values	value	NOUN
ijassa-727	221	12	of	of	ADP
ijassa-727	221	13	random	random	ADJ
ijassa-727	221	14	and	and	CCONJ
ijassa-727	221	15	epistemic	epistemic	ADJ
ijassa-727	221	16	parameters	parameter	NOUN
ijassa-727	221	17	as	as	ADP
ijassa-727	221	18	the	the	DET
ijassa-727	221	19	)	)	PUNCT
ijassa-727	221	20	(	(	PROPN
ijassa-727	221	21	and	and	CCONJ
ijassa-727	221	22	)	)	PUNCT
ijassa-727	221	23	e	e	X
ijassa-727	221	24			NOUN
ijassa-727	221	25	(	(	PUNCT
ijassa-727	221	26	respectively	respectively	ADV
ijassa-727	221	27	.	.	PUNCT
ijassa-727	222	1	we	we	PRON
ijassa-727	222	2	set	set	VERB
ijassa-727	222	3	the	the	DET
ijassa-727	222	4	standard	standard	ADJ
ijassa-727	222	5	deviations	deviation	NOUN
ijassa-727	222	6	)	)	PUNCT
ijassa-727	222	7	(	(	PROPN
ijassa-727	222	8			X
ijassa-727	222	9	and	and	CCONJ
ijassa-727	222	10	)	)	PUNCT
ijassa-727	222	11	e	e	NOUN
ijassa-727	222	12			NOUN
ijassa-727	222	13	(	(	PUNCT
ijassa-727	222	14			PROPN
ijassa-727	222	15	as	as	ADP
ijassa-727	222	16	a	a	DET
ijassa-727	222	17	percentage	percentage	NOUN
ijassa-727	222	18	of	of	ADP
ijassa-727	222	19	)	)	PUNCT
ijassa-727	222	20	(	(	PROPN
ijassa-727	222	21	and	and	CCONJ
ijassa-727	222	22	)	)	PUNCT
ijassa-727	222	23	e	e	X
ijassa-727	222	24			NOUN
ijassa-727	222	25	(	(	PUNCT
ijassa-727	222	26	.	.	PUNCT
ijassa-727	223	1	we	we	PRON
ijassa-727	223	2	investigate	investigate	VERB
ijassa-727	223	3	the	the	DET
ijassa-727	223	4	influence	influence	NOUN
ijassa-727	223	5	of	of	ADP
ijassa-727	223	6	model	model	NOUN
ijassa-727	223	7	parameters	parameter	NOUN
ijassa-727	223	8	that	that	PRON
ijassa-727	223	9	reflect	reflect	VERB
ijassa-727	223	10	the	the	DET
ijassa-727	223	11	characteristics	characteristic	NOUN
ijassa-727	223	12	of	of	ADP
ijassa-727	223	13	uncertainty	uncertainty	NOUN
ijassa-727	223	14	and	and	CCONJ
ijassa-727	223	15	preferences	preference	NOUN
ijassa-727	223	16	of	of	ADP
ijassa-727	223	17	design	design	NOUN
ijassa-727	223	18	maker	maker	NOUN
ijassa-727	223	19	.	.	PUNCT
ijassa-727	224	1	we	we	PRON
ijassa-727	224	2	present	present	VERB
ijassa-727	224	3	in	in	ADP
ijassa-727	224	4	fig	fig	NOUN
ijassa-727	224	5	.	.	PUNCT
ijassa-727	225	1	1	1	NUM
ijassa-727	225	2	and	and	CCONJ
ijassa-727	225	3	2	2	NUM
ijassa-727	225	4	the	the	DET
ijassa-727	225	5	results	result	NOUN
ijassa-727	225	6	of	of	ADP
ijassa-727	225	7	applying	apply	VERB
ijassa-727	225	8	the	the	DET
ijassa-727	225	9	optimization	optimization	NOUN
ijassa-727	225	10	models	model	NOUN
ijassa-727	225	11	a	a	PRON
ijassa-727	225	12	and	and	CCONJ
ijassa-727	225	13	b	b	NOUN
ijassa-727	225	14	for	for	ADP
ijassa-727	225	15	different	different	ADJ
ijassa-727	225	16	variants	variant	NOUN
ijassa-727	225	17	of	of	ADP
ijassa-727	225	18	the	the	DET
ijassa-727	225	19	initial	initial	ADJ
ijassa-727	225	20	data	datum	NOUN
ijassa-727	225	21	:	:	PUNCT
ijassa-727	225	22	standard	standard	ADJ
ijassa-727	225	23	deviations	deviation	NOUN
ijassa-727	225	24	of	of	ADP
ijassa-727	225	25	parameters	parameter	NOUN
ijassa-727	225	26	)	)	PUNCT
ijassa-727	225	27	(	(	PROPN
ijassa-727	225	28			PUNCT
ijassa-727	225	29	,	,	PUNCT
ijassa-727	225	30	)	)	PUNCT
ijassa-727	225	31	e	e	X
ijassa-727	225	32			X
ijassa-727	225	33	(	(	PUNCT
ijassa-727	225	34			X
ijassa-727	225	35	,	,	PUNCT
ijassa-727	225	36	and	and	CCONJ
ijassa-727	225	37	values	value	NOUN
ijassa-727	225	38	related	relate	VERB
ijassa-727	225	39	to	to	ADP
ijassa-727	225	40	reliability	reliability	NOUN
ijassa-727	225	41	landingm	landingm	ADJ
ijassa-727	225	42			X
ijassa-727	225	43	,	,	PUNCT
ijassa-727	225	44	landingm	landingm	PROPN
ijassa-727	225	45	p	p	X
ijassa-727	225	46	,	,	PUNCT
ijassa-727	225	47	0m	0m	PROPN
ijassa-727	225	48	,	,	PUNCT
ijassa-727	225	49	fuelm	fuelm	PROPN
ijassa-727	225	50	,	,	PUNCT
ijassa-727	225	51	fuelm	fuelm	NOUN
ijassa-727	225	52	p	p	NOUN
ijassa-727	225	53	,	,	PUNCT
ijassa-727	225	54			NOUN
ijassa-727	225	55	a	a	NOUN
ijassa-727	225	56			X
ijassa-727	225	57	,	,	PUNCT
ijassa-727	225	58			NUM
ijassa-727	225	59	a	a	NOUN
ijassa-727	225	60			NUM
ijassa-727	225	61	.	.	PUNCT
ijassa-727	226	1	the	the	DET
ijassa-727	226	2	upper	upper	ADJ
ijassa-727	226	3	line	line	NOUN
ijassa-727	226	4	in	in	ADP
ijassa-727	226	5	fig	fig	NOUN
ijassa-727	226	6	.	.	PUNCT
ijassa-727	227	1	1	1	NUM
ijassa-727	227	2	-	-	SYM
ijassa-727	227	3	3	3	NUM
ijassa-727	227	4	is	be	AUX
ijassa-727	227	5	the	the	DET
ijassa-727	227	6	result	result	NOUN
ijassa-727	227	7	of	of	ADP
ijassa-727	227	8	applying	apply	VERB
ijassa-727	227	9	the	the	DET
ijassa-727	227	10	optimization	optimization	NOUN
ijassa-727	227	11	model	model	NOUN
ijassa-727	227	12	with	with	ADP
ijassa-727	227	13	deterministic	deterministic	ADJ
ijassa-727	227	14	values	value	NOUN
ijassa-727	227	15	of	of	ADP
ijassa-727	227	16	uncertain	uncertain	ADJ
ijassa-727	227	17	and	and	CCONJ
ijassa-727	227	18	random	random	ADJ
ijassa-727	227	19	parameters	parameter	NOUN
ijassa-727	227	20	equal	equal	ADJ
ijassa-727	227	21	to	to	ADP
ijassa-727	227	22	their	their	PRON
ijassa-727	227	23	average	average	ADJ
ijassa-727	227	24	values	value	NOUN
ijassa-727	227	25	.	.	PUNCT
ijassa-727	228	1	the	the	DET
ijassa-727	228	2	pareto	pareto	VERB
ijassa-727	228	3	-	-	PUNCT
ijassa-727	228	4	front	front	NOUN
ijassa-727	228	5	,	,	PUNCT
ijassa-727	228	6	which	which	PRON
ijassa-727	228	7	is	be	AUX
ijassa-727	228	8	the	the	DET
ijassa-727	228	9	result	result	NOUN
ijassa-727	228	10	of	of	ADP
ijassa-727	228	11	the	the	DET
ijassa-727	228	12	application	application	NOUN
ijassa-727	228	13	of	of	ADP
ijassa-727	228	14	model	model	NOUN
ijassa-727	228	15	a	a	X
ijassa-727	228	16	,	,	PUNCT
ijassa-727	228	17	practically	practically	ADV
ijassa-727	228	18	coincides	coincide	NOUN
ijassa-727	228	19	with	with	ADP
ijassa-727	228	20	the	the	DET
ijassa-727	228	21	upper	upper	ADJ
ijassa-727	228	22	line	line	NOUN
ijassa-727	228	23	,	,	PUNCT
ijassa-727	228	24	but	but	CCONJ
ijassa-727	228	25	narrows	narrow	VERB
ijassa-727	228	26	with	with	ADP
ijassa-727	228	27	increasing	increase	VERB
ijassa-727	228	28	reliability	reliability	NOUN
ijassa-727	228	29	.	.	PUNCT
ijassa-727	229	1	the	the	DET
ijassa-727	229	2	values	value	NOUN
ijassa-727	229	3	landingm	landingm	VERB
ijassa-727	229	4			X
ijassa-727	229	5	,	,	PUNCT
ijassa-727	229	6	landingm	landingm	PROPN
ijassa-727	229	7	p	p	X
ijassa-727	229	8	,	,	PUNCT
ijassa-727	229	9	0m	0m	PROPN
ijassa-727	229	10	,	,	PUNCT
ijassa-727	229	11	fuelm	fuelm	PROPN
ijassa-727	229	12	,	,	PUNCT
ijassa-727	229	13	fuelm	fuelm	NOUN
ijassa-727	229	14	p	p	NOUN
ijassa-727	229	15	,	,	PUNCT
ijassa-727	229	16			NOUN
ijassa-727	229	17	a	a	NOUN
ijassa-727	229	18			X
ijassa-727	229	19	,	,	PUNCT
ijassa-727	229	20			NUM
ijassa-727	229	21	a	a	NOUN
ijassa-727	229	22			PRON
ijassa-727	229	23	are	be	AUX
ijassa-727	229	24	equal	equal	ADJ
ijassa-727	229	25	and	and	CCONJ
ijassa-727	229	26	vary	vary	VERB
ijassa-727	229	27	from	from	ADP
ijassa-727	229	28	0.6	0.6	NUM
ijassa-727	229	29	to	to	ADP
ijassa-727	229	30	0.9	0.9	NUM
ijassa-727	229	31	with	with	ADP
ijassa-727	229	32	a	a	DET
ijassa-727	229	33	step	step	NOUN
ijassa-727	229	34	of	of	ADP
ijassa-727	229	35	0.1	0.1	NUM
ijassa-727	229	36	(	(	PUNCT
ijassa-727	229	37	bottom	bottom	ADJ
ijassa-727	229	38	four	four	NUM
ijassa-727	229	39	lines	line	NOUN
ijassa-727	229	40	in	in	ADP
ijassa-727	229	41	fig	fig	NOUN
ijassa-727	229	42	.	.	PUNCT
ijassa-727	229	43	1	1	NUM
ijassa-727	229	44	and	and	CCONJ
ijassa-727	229	45	2	2	NUM
ijassa-727	229	46	)	)	PUNCT
ijassa-727	229	47	.	.	PUNCT
ijassa-727	230	1	set	set	VERB
ijassa-727	230	2	for	for	ADP
ijassa-727	230	3	all	all	DET
ijassa-727	230	4	random	random	ADJ
ijassa-727	230	5	parameters	parameter	NOUN
ijassa-727	230	6	)	)	PUNCT
ijassa-727	230	7	)	)	PUNCT
ijassa-727	231	1			PROPN
ijassa-727	231	2			NUM
ijassa-727	231	3	(	(	PUNCT
ijassa-727	231	4	(	(	PUNCT
ijassa-727	231	5	03,0	03,0	PRON
ijassa-727	231	6			NOUN
ijassa-727	231	7			NOUN
ijassa-727	231	8	,	,	PUNCT
ijassa-727	231	9	for	for	ADP
ijassa-727	231	10	all	all	DET
ijassa-727	231	11	epistemic	epistemic	ADJ
ijassa-727	231	12	parameters	parameter	NOUN
ijassa-727	231	13	)	)	PUNCT
ijassa-727	231	14	)	)	PUNCT
ijassa-727	232	1	e	e	X
ijassa-727	232	2	e	e	X
ijassa-727	232	3			PROPN
ijassa-727	232	4			PROPN
ijassa-727	232	5	(	(	PUNCT
ijassa-727	232	6	(	(	PUNCT
ijassa-727	232	7	03,0	03,0	NUM
ijassa-727	232	8	.	.	PUNCT
ijassa-727	233	1	then	then	ADV
ijassa-727	233	2	we	we	PRON
ijassa-727	233	3	obtained	obtain	VERB
ijassa-727	233	4	the	the	DET
ijassa-727	233	5	pareto	pareto	ADJ
ijassa-727	233	6	fronts	front	NOUN
ijassa-727	233	7	shown	show	VERB
ijassa-727	233	8	in	in	ADP
ijassa-727	233	9	fig.1	fig.1	PROPN
ijassa-727	233	10	.	.	PUNCT
ijassa-727	233	11	fig	fig	NOUN
ijassa-727	233	12	.	.	PUNCT
ijassa-727	234	1	1	1	X
ijassa-727	234	2	.	.	X
ijassa-727	234	3	pareto	pareto	ADJ
ijassa-727	234	4	fronts	front	NOUN
ijassa-727	234	5	for	for	ADP
ijassa-727	234	6	model	model	NOUN
ijassa-727	234	7	b	b	PROPN
ijassa-727	234	8	at	at	ADP
ijassa-727	234	9	)	)	PUNCT
ijassa-727	234	10	)	)	PUNCT
ijassa-727	235	1			PROPN
ijassa-727	235	2			PRON
ijassa-727	236	1	(	(	PUNCT
ijassa-727	236	2	03,0	03,0	PROPN
ijassa-727	236	3	(	(	PUNCT
ijassa-727	236	4			NUM
ijassa-727	236	5			NOUN
ijassa-727	236	6	and	and	CCONJ
ijassa-727	236	7	)	)	PUNCT
ijassa-727	236	8	e	e	NOUN
ijassa-727	236	9	e	e	X
ijassa-727	236	10	)	)	PUNCT
ijassa-727	236	11			PROPN
ijassa-727	236	12			NOUN
ijassa-727	236	13	(	(	PUNCT
ijassa-727	236	14	03,0	03,0	PROPN
ijassa-727	236	15	(	(	PUNCT
ijassa-727	236	16			PROPN
ijassa-727	236	17	(	(	PUNCT
ijassa-727	236	18	the	the	DET
ijassa-727	236	19	parameters	parameter	NOUN
ijassa-727	236	20	are	be	AUX
ijassa-727	236	21	random	random	ADJ
ijassa-727	236	22	and	and	CCONJ
ijassa-727	236	23	epistemic	epistemic	ADJ
ijassa-727	236	24	)	)	PUNCT
ijassa-727	236	25	set	set	NOUN
ijassa-727	236	26	for	for	ADP
ijassa-727	236	27	all	all	DET
ijassa-727	236	28	random	random	ADJ
ijassa-727	236	29	parameters	parameter	NOUN
ijassa-727	236	30	)	)	PUNCT
ijassa-727	236	31	(	(	PUNCT
ijassa-727	236	32	05,0	05,0	ADJ
ijassa-727	236	33	)	)	PUNCT
ijassa-727	236	34	(	(	PUNCT
ijassa-727	236	35			NOUN
ijassa-727	236	36			NOUN
ijassa-727	236	37			X
ijassa-727	236	38			NOUN
ijassa-727	236	39	,	,	PUNCT
ijassa-727	236	40	for	for	ADP
ijassa-727	236	41	all	all	DET
ijassa-727	236	42	epistemic	epistemic	ADJ
ijassa-727	236	43	parameters	parameter	NOUN
ijassa-727	236	44	.05,0	.05,0	PUNCT
ijassa-727	236	45	(	(	PUNCT
ijassa-727	236	46	(	(	PUNCT
ijassa-727	236	47	)	)	PUNCT
ijassa-727	236	48	)	)	PUNCT
ijassa-727	236	49	e	e	X
ijassa-727	236	50	e	e	PROPN
ijassa-727	236	51			PROPN
ijassa-727	236	52			PROPN
ijassa-727	236	53	the	the	DET
ijassa-727	236	54	parameters	parameter	NOUN
ijassa-727	236	55	landingm	landingm	VERB
ijassa-727	236	56	p	p	X
ijassa-727	236	57	,	,	PUNCT
ijassa-727	236	58	fuelm	fuelm	PROPN
ijassa-727	236	59	p	p	NOUN
ijassa-727	236	60	,	,	PUNCT
ijassa-727	236	61	landingm	landingm	ADJ
ijassa-727	236	62			X
ijassa-727	236	63	,	,	PUNCT
ijassa-727	236	64	0m	0m	PROPN
ijassa-727	236	65	,	,	PUNCT
ijassa-727	236	66	fuelm	fuelm	PROPN
ijassa-727	236	67	,	,	PUNCT
ijassa-727	236	68			NOUN
ijassa-727	236	69	a	a	NOUN
ijassa-727	236	70			X
ijassa-727	236	71	,	,	PUNCT
ijassa-727	236	72			NUM
ijassa-727	236	73	a	a	NOUN
ijassa-727	236	74			PRON
ijassa-727	236	75	are	be	AUX
ijassa-727	236	76	equal	equal	ADJ
ijassa-727	236	77	and	and	CCONJ
ijassa-727	236	78	vary	vary	VERB
ijassa-727	236	79	from	from	ADP
ijassa-727	236	80	0.6	0.6	NUM
ijassa-727	236	81	to	to	ADP
ijassa-727	236	82	0.9	0.9	NUM
ijassa-727	236	83	with	with	ADP
ijassa-727	236	84	a	a	DET
ijassa-727	236	85	step	step	NOUN
ijassa-727	236	86	of	of	ADP
ijassa-727	236	87	0.1	0.1	NUM
ijassa-727	236	88	.	.	PUNCT
ijassa-727	237	1	then	then	ADV
ijassa-727	237	2	we	we	PRON
ijassa-727	237	3	obtained	obtain	VERB
ijassa-727	237	4	the	the	DET
ijassa-727	237	5	pareto	pareto	ADJ
ijassa-727	237	6	fronts	front	NOUN
ijassa-727	237	7	shown	show	VERB
ijassa-727	237	8	in	in	ADP
ijassa-727	237	9	fig.2	fig.2	PROPN
ijassa-727	237	10	.	.	PROPN
ijassa-727	237	11	18	18	NUM
ijassa-727	237	12	g.s	g.s	PROPN
ijassa-727	237	13	.	.	PROPN
ijassa-727	237	14	veresnikov	veresnikov	PROPN
ijassa-727	237	15	,	,	PUNCT
ijassa-727	237	16	l.a	l.a	PROPN
ijassa-727	237	17	.	.	PROPN
ijassa-727	237	18	pankova	pankova	PROPN
ijassa-727	237	19	,	,	PUNCT
ijassa-727	238	1	v.a	v.a	PROPN
ijassa-727	238	2	.	.	PROPN
ijassa-727	238	3	pronina	pronina	PROPN
ijassa-727	238	4	copyright	copyright	NOUN
ijassa-727	238	5	©	©	PROPN
ijassa-727	238	6	2019	2019	NUM
ijassa-727	238	7	assa	assa	PROPN
ijassa-727	238	8	adv	adv	PROPN
ijassa-727	238	9	.	.	PUNCT
ijassa-727	239	1	in	in	ADP
ijassa-727	239	2	systems	system	NOUN
ijassa-727	239	3	science	science	NOUN
ijassa-727	239	4	and	and	CCONJ
ijassa-727	239	5	appl	appl	NOUN
ijassa-727	239	6	.	.	PUNCT
ijassa-727	240	1	(	(	PUNCT
ijassa-727	240	2	2019	2019	NUM
ijassa-727	240	3	)	)	PUNCT
ijassa-727	240	4	fig	fig	NOUN
ijassa-727	240	5	.	.	PUNCT
ijassa-727	241	1	2	2	X
ijassa-727	241	2	.	.	X
ijassa-727	241	3	pareto	pareto	ADJ
ijassa-727	241	4	fronts	front	NOUN
ijassa-727	241	5	for	for	ADP
ijassa-727	241	6	model	model	NOUN
ijassa-727	241	7	b	b	PROPN
ijassa-727	241	8	at	at	ADP
ijassa-727	241	9	)	)	PUNCT
ijassa-727	241	10	)	)	PUNCT
ijassa-727	242	1			PROPN
ijassa-727	242	2			PRON
ijassa-727	243	1	(	(	PUNCT
ijassa-727	243	2	05,0	05,0	NOUN
ijassa-727	243	3	(	(	PUNCT
ijassa-727	243	4			NUM
ijassa-727	243	5			NOUN
ijassa-727	243	6	and	and	CCONJ
ijassa-727	243	7	)	)	PUNCT
ijassa-727	243	8	e	e	NOUN
ijassa-727	243	9	e	e	X
ijassa-727	243	10	)	)	PUNCT
ijassa-727	243	11			PROPN
ijassa-727	243	12			PRON
ijassa-727	244	1	(	(	PUNCT
ijassa-727	244	2	05,0	05,0	PROPN
ijassa-727	244	3	(	(	PUNCT
ijassa-727	244	4			PROPN
ijassa-727	244	5	(	(	PUNCT
ijassa-727	244	6	the	the	DET
ijassa-727	244	7	parameters	parameter	NOUN
ijassa-727	244	8	are	be	AUX
ijassa-727	244	9	random	random	ADJ
ijassa-727	244	10	and	and	CCONJ
ijassa-727	244	11	epistemic	epistemic	ADJ
ijassa-727	244	12	)	)	PUNCT
ijassa-727	244	13	the	the	DET
ijassa-727	244	14	figures	figure	NOUN
ijassa-727	244	15	show	show	VERB
ijassa-727	244	16	that	that	SCONJ
ijassa-727	244	17	the	the	DET
ijassa-727	244	18	pareto	pareto	NOUN
ijassa-727	244	19	-	-	PUNCT
ijassa-727	244	20	fronts	front	NOUN
ijassa-727	244	21	obtained	obtain	VERB
ijassa-727	244	22	as	as	ADP
ijassa-727	244	23	a	a	DET
ijassa-727	244	24	result	result	NOUN
ijassa-727	244	25	of	of	ADP
ijassa-727	244	26	performing	perform	VERB
ijassa-727	244	27	optimization	optimization	NOUN
ijassa-727	244	28	calculations	calculation	NOUN
ijassa-727	244	29	using	use	VERB
ijassa-727	244	30	the	the	DET
ijassa-727	244	31	model	model	NOUN
ijassa-727	244	32	b	b	PROPN
ijassa-727	244	33	with	with	ADP
ijassa-727	244	34	increasing	increase	VERB
ijassa-727	244	35	landingm	landingm	ADJ
ijassa-727	244	36	p	p	PROPN
ijassa-727	244	37	,	,	PUNCT
ijassa-727	244	38	fuelm	fuelm	PROPN
ijassa-727	244	39	p	p	NOUN
ijassa-727	244	40	,	,	PUNCT
ijassa-727	244	41	landingm	landingm	ADJ
ijassa-727	244	42			X
ijassa-727	244	43	,	,	PUNCT
ijassa-727	244	44	0m	0m	PROPN
ijassa-727	244	45	,	,	PUNCT
ijassa-727	244	46	fuelm	fuelm	PROPN
ijassa-727	244	47	,	,	PUNCT
ijassa-727	244	48			NOUN
ijassa-727	244	49	a	a	NOUN
ijassa-727	244	50			X
ijassa-727	244	51	,	,	PUNCT
ijassa-727	244	52			NUM
ijassa-727	244	53	a	a	NOUN
ijassa-727	244	54			NOUN
ijassa-727	244	55	are	be	AUX
ijassa-727	244	56	shifted	shift	VERB
ijassa-727	244	57	to	to	ADP
ijassa-727	244	58	the	the	DET
ijassa-727	244	59	region	region	NOUN
ijassa-727	244	60	of	of	ADP
ijassa-727	244	61	the	the	DET
ijassa-727	244	62	worst	bad	ADJ
ijassa-727	244	63	values	value	NOUN
ijassa-727	244	64	of	of	ADP
ijassa-727	244	65	the	the	DET
ijassa-727	244	66	objective	objective	ADJ
ijassa-727	244	67	functions	function	NOUN
ijassa-727	244	68	.	.	PUNCT
ijassa-727	245	1	while	while	SCONJ
ijassa-727	245	2	ensuring	ensure	VERB
ijassa-727	245	3	high	high	ADJ
ijassa-727	245	4	reliability	reliability	NOUN
ijassa-727	245	5	of	of	ADP
ijassa-727	245	6	the	the	DET
ijassa-727	245	7	solution	solution	NOUN
ijassa-727	245	8	(	(	PUNCT
ijassa-727	245	9	p	p	NOUN
ijassa-727	245	10	and	and	CCONJ
ijassa-727	245	11	α	α	NOUN
ijassa-727	245	12	close	close	ADJ
ijassa-727	245	13	to	to	PART
ijassa-727	245	14	1	1	NUM
ijassa-727	245	15	)	)	PUNCT
ijassa-727	245	16	at	at	ADP
ijassa-727	245	17	fixed	fix	VERB
ijassa-727	245	18	take	take	VERB
ijassa-727	245	19	-	-	PUNCT
ijassa-727	245	20	off	off	ADP
ijassa-727	245	21	weight	weight	NOUN
ijassa-727	245	22	the	the	DET
ijassa-727	245	23	difference	difference	NOUN
ijassa-727	245	24	in	in	ADP
ijassa-727	245	25	fuel	fuel	NOUN
ijassa-727	245	26	mass	mass	NOUN
ijassa-727	245	27	can	can	AUX
ijassa-727	245	28	reach	reach	VERB
ijassa-727	245	29	more	more	ADJ
ijassa-727	245	30	than	than	ADP
ijassa-727	245	31	4000	4000	NUM
ijassa-727	245	32	kg	kg	NOUN
ijassa-727	245	33	.	.	PUNCT
ijassa-727	246	1	for	for	ADP
ijassa-727	246	2	comparison	comparison	NOUN
ijassa-727	246	3	,	,	PUNCT
ijassa-727	246	4	consider	consider	VERB
ijassa-727	246	5	the	the	DET
ijassa-727	246	6	case	case	NOUN
ijassa-727	246	7	where	where	SCONJ
ijassa-727	246	8	the	the	DET
ijassa-727	246	9	parameters	parameter	NOUN
ijassa-727	246	10	mk	mk	PROPN
ijassa-727	246	11	,	,	PUNCT
ijassa-727	246	12	eqk	eqk	NOUN
ijassa-727	246	13	,	,	PUNCT
ijassa-727	246	14	pcv	pcv	NOUN
ijassa-727	246	15	,	,	PUNCT
ijassa-727	246	16	ecm	ecm	NOUN
ijassa-727	246	17	,	,	PUNCT
ijassa-727	246	18	a	a	NOUN
ijassa-727	246	19	,	,	PUNCT
ijassa-727	246	20	0qsk	0qsk	PRON
ijassa-727	246	21	,	,	PUNCT
ijassa-727	246	22	1qsk	1qsk	PROPN
ijassa-727	246	23	,	,	PUNCT
ijassa-727	246	24	0engk	0engk	PROPN
ijassa-727	246	25	,	,	PUNCT
ijassa-727	246	26	1engk	1engk	NUM
ijassa-727	246	27	,	,	PUNCT
ijassa-727	246	28	eng	eng	PUNCT
ijassa-727	246	29	,	,	PUNCT
ijassa-727	246	30	t	t	PROPN
ijassa-727	246	31	are	be	AUX
ijassa-727	246	32	random	random	ADJ
ijassa-727	246	33	.	.	PUNCT
ijassa-727	247	1	we	we	PRON
ijassa-727	247	2	use	use	VERB
ijassa-727	247	3	the	the	DET
ijassa-727	247	4	following	follow	VERB
ijassa-727	247	5	optimization	optimization	NOUN
ijassa-727	247	6	model	model	NOUN
ijassa-727	247	7	:	:	PUNCT
ijassa-727	248	1			NUM
ijassa-727	248	2			NUM
ijassa-727	248	3			NUM
ijassa-727	248	4			NUM
ijassa-727	248	5			NUM
ijassa-727	248	6			PROPN
ijassa-727	248	7			NUM
ijassa-727	248	8			NUM
ijassa-727	248	9			NUM
ijassa-727	248	10			NUM
ijassa-727	248	11			NUM
ijassa-727	248	12			NUM
ijassa-727	248	13			NOUN
ijassa-727	248	14			NOUN
ijassa-727	248	15			ADP
ijassa-727	248	16			PRON
ijassa-727	248	17			VERB
ijassa-727	248	18			PROPN
ijassa-727	248	19			PROPN
ijassa-727	248	20			PROPN
ijassa-727	248	21	.]1,0[,)8.0	.]1,0[,)8.0	PROPN
ijassa-727	248	22	(	(	PUNCT
ijassa-727	248	23	]	]	X
ijassa-727	248	24	,	,	PUNCT
ijassa-727	248	25	1,0[,)400	1,0[,)400	NUM
ijassa-727	248	26	(	(	PUNCT
ijassa-727	248	27	]	]	X
ijassa-727	248	28	,	,	PUNCT
ijassa-727	248	29	1,0[,)500	1,0[,)500	NUM
ijassa-727	248	30	(	(	PUNCT
ijassa-727	248	31	]	]	X
ijassa-727	248	32	,	,	PUNCT
ijassa-727	248	33	1,0	1,0	NUM
ijassa-727	248	34	[	[	NOUN
ijassa-727	248	35	,	,	PUNCT
ijassa-727	248	36	)	)	PUNCT
ijassa-727	248	37	(	(	PUNCT
ijassa-727	248	38	]	]	X
ijassa-727	248	39	,	,	PUNCT
ijassa-727	248	40	1,0	1,0	NUM
ijassa-727	248	41	[	[	NOUN
ijassa-727	248	42	,	,	PUNCT
ijassa-727	248	43	)	)	PUNCT
ijassa-727	248	44	(	(	PUNCT
ijassa-727	248	45	,	,	PUNCT
ijassa-727	248	46	max	max	PROPN
ijassa-727	248	47	,	,	PUNCT
ijassa-727	248	48	min	min	PROPN
ijassa-727	248	49	2	2	NUM
ijassa-727	248	50	0010	0010	NUM
ijassa-727	248	51	21	21	NUM
ijassa-727	248	52	landingmlandingmlandingfuel0	landingmlandingmlandingfuel0	NOUN
ijassa-727	248	53	aaa	aaa	NOUN
ijassa-727	248	54	aaa	aaa	NOUN
ijassa-727	248	55	fuelmfuelmfuel	fuelmfuelmfuel	NOUN
ijassa-727	248	56	mm	mm	PROPN
ijassa-727	248	57	ppmmmp	ppmmmp	PROPN
ijassa-727	248	58	ppp	ppp	PROPN
ijassa-727	248	59	ppp	ppp	PROPN
ijassa-727	248	60	pprmp	pprmp	PROPN
ijassa-727	248	61	pprmp	pprmp	PROPN
ijassa-727	248	62	rr	rr	PROPN
ijassa-727	248	63			PRON
ijassa-727	248	64			PRON
ijassa-727	249	1			NUM
ijassa-727	249	2			NUM
ijassa-727	249	3	let	let	VERB
ijassa-727	249	4	for	for	ADP
ijassa-727	249	5	all	all	DET
ijassa-727	249	6	random	random	ADJ
ijassa-727	249	7	parameters	parameter	NOUN
ijassa-727	249	8	)	)	PUNCT
ijassa-727	249	9	)	)	PUNCT
ijassa-727	250	1			PROPN
ijassa-727	250	2			NUM
ijassa-727	250	3	(	(	PUNCT
ijassa-727	250	4	(	(	PUNCT
ijassa-727	250	5	03,0	03,0	PRON
ijassa-727	250	6			NOUN
ijassa-727	250	7			NOUN
ijassa-727	250	8	.	.	PUNCT
ijassa-727	251	1	the	the	DET
ijassa-727	251	2	parameters	parameter	NOUN
ijassa-727	251	3	0	0	NUM
ijassa-727	251	4	m	m	VERB
ijassa-727	251	5	p	p	NOUN
ijassa-727	251	6	,	,	PUNCT
ijassa-727	251	7	landingm	landingm	PROPN
ijassa-727	251	8	p	p	X
ijassa-727	251	9	,	,	PUNCT
ijassa-727	251	10	fuelm	fuelm	PROPN
ijassa-727	251	11	p	p	NOUN
ijassa-727	251	12	,	,	PUNCT
ijassa-727	251	13			VERB
ijassa-727	251	14	a	a	DET
ijassa-727	251	15	p	p	NOUN
ijassa-727	251	16	,	,	PUNCT
ijassa-727	251	17			VERB
ijassa-727	251	18	a	a	DET
ijassa-727	251	19	p	p	NOUN
ijassa-727	251	20	are	be	AUX
ijassa-727	251	21	equal	equal	ADJ
ijassa-727	251	22	and	and	CCONJ
ijassa-727	251	23	vary	vary	VERB
ijassa-727	251	24	from	from	ADP
ijassa-727	251	25	0.6	0.6	NUM
ijassa-727	251	26	to	to	ADP
ijassa-727	251	27	0.9	0.9	NUM
ijassa-727	251	28	with	with	ADP
ijassa-727	251	29	a	a	DET
ijassa-727	251	30	step	step	NOUN
ijassa-727	251	31	of	of	ADP
ijassa-727	251	32	0.1	0.1	NUM
ijassa-727	251	33	(	(	PUNCT
ijassa-727	251	34	bottom	bottom	ADJ
ijassa-727	251	35	four	four	NUM
ijassa-727	251	36	lines	line	NOUN
ijassa-727	251	37	)	)	PUNCT
ijassa-727	251	38	.	.	PUNCT
ijassa-727	252	1	then	then	ADV
ijassa-727	252	2	we	we	PRON
ijassa-727	252	3	obtained	obtain	VERB
ijassa-727	252	4	the	the	DET
ijassa-727	252	5	pareto	pareto	ADJ
ijassa-727	252	6	fronts	front	NOUN
ijassa-727	252	7	shown	show	VERB
ijassa-727	252	8	in	in	ADP
ijassa-727	252	9	fig.3	fig.3	PROPN
ijassa-727	252	10	.	.	PUNCT
ijassa-727	253	1	the	the	DET
ijassa-727	253	2	upper	upper	ADJ
ijassa-727	253	3	line	line	NOUN
ijassa-727	253	4	in	in	ADP
ijassa-727	253	5	figures	figure	NOUN
ijassa-727	253	6	3	3	NUM
ijassa-727	253	7	is	be	AUX
ijassa-727	253	8	the	the	DET
ijassa-727	253	9	result	result	NOUN
ijassa-727	253	10	of	of	ADP
ijassa-727	253	11	applying	apply	VERB
ijassa-727	253	12	the	the	DET
ijassa-727	253	13	optimization	optimization	NOUN
ijassa-727	253	14	model	model	NOUN
ijassa-727	253	15	with	with	ADP
ijassa-727	253	16	deterministic	deterministic	ADJ
ijassa-727	253	17	values	value	NOUN
ijassa-727	253	18	of	of	ADP
ijassa-727	253	19	uncertain	uncertain	ADJ
ijassa-727	253	20	and	and	CCONJ
ijassa-727	253	21	random	random	ADJ
ijassa-727	253	22	parameters	parameter	NOUN
ijassa-727	253	23	equal	equal	ADJ
ijassa-727	253	24	to	to	ADP
ijassa-727	253	25	their	their	PRON
ijassa-727	253	26	average	average	ADJ
ijassa-727	253	27	values	value	NOUN
ijassa-727	253	28	.	.	PUNCT
ijassa-727	254	1	models	model	NOUN
ijassa-727	254	2	of	of	ADP
ijassa-727	254	3	uncertain	uncertain	ADJ
ijassa-727	254	4	-	-	PUNCT
ijassa-727	254	5	random	random	ADJ
ijassa-727	254	6	programming	programming	NOUN
ijassa-727	254	7	19	19	NUM
ijassa-727	254	8	copyright	copyright	NOUN
ijassa-727	254	9	©	©	PROPN
ijassa-727	254	10	2019	2019	NUM
ijassa-727	254	11	assa	assa	NOUN
ijassa-727	254	12	.	.	PUNCT
ijassa-727	255	1	adv	adv	PROPN
ijassa-727	255	2	.	.	PUNCT
ijassa-727	256	1	in	in	ADP
ijassa-727	256	2	systems	system	NOUN
ijassa-727	256	3	science	science	NOUN
ijassa-727	256	4	and	and	CCONJ
ijassa-727	256	5	appl	appl	NOUN
ijassa-727	256	6	.	.	PUNCT
ijassa-727	257	1	(	(	PUNCT
ijassa-727	257	2	2019	2019	NUM
ijassa-727	257	3	)	)	PUNCT
ijassa-727	257	4	fig	fig	NOUN
ijassa-727	257	5	.	.	PUNCT
ijassa-727	258	1	3	3	X
ijassa-727	258	2	.	.	X
ijassa-727	258	3	pareto	pareto	ADJ
ijassa-727	258	4	fronts	front	NOUN
ijassa-727	258	5	at	at	ADP
ijassa-727	258	6	)	)	PUNCT
ijassa-727	258	7	)	)	PUNCT
ijassa-727	259	1			PROPN
ijassa-727	259	2			PRON
ijassa-727	260	1	(	(	PUNCT
ijassa-727	260	2	03,0	03,0	PROPN
ijassa-727	260	3	(	(	PUNCT
ijassa-727	260	4			NUM
ijassa-727	260	5			NOUN
ijassa-727	260	6	(	(	PUNCT
ijassa-727	260	7	all	all	DET
ijassa-727	260	8	parameters	parameter	NOUN
ijassa-727	260	9	are	be	AUX
ijassa-727	260	10	random	random	ADJ
ijassa-727	260	11	)	)	PUNCT
ijassa-727	260	12	pareto	pareto	ADJ
ijassa-727	260	13	fronts	front	NOUN
ijassa-727	260	14	also	also	ADV
ijassa-727	260	15	move	move	VERB
ijassa-727	260	16	to	to	ADP
ijassa-727	260	17	the	the	DET
ijassa-727	260	18	area	area	NOUN
ijassa-727	260	19	of	of	ADP
ijassa-727	260	20	the	the	DET
ijassa-727	260	21	worst	bad	ADJ
ijassa-727	260	22	values	value	NOUN
ijassa-727	260	23	of	of	ADP
ijassa-727	260	24	the	the	DET
ijassa-727	260	25	objective	objective	ADJ
ijassa-727	260	26	functions	function	NOUN
ijassa-727	260	27	,	,	PUNCT
ijassa-727	260	28	but	but	CCONJ
ijassa-727	260	29	less	less	ADJ
ijassa-727	260	30	than	than	ADP
ijassa-727	260	31	in	in	ADP
ijassa-727	260	32	fig	fig	NOUN
ijassa-727	260	33	.	.	PUNCT
ijassa-727	261	1	1	1	NUM
ijassa-727	261	2	and	and	CCONJ
ijassa-727	261	3	2	2	NUM
ijassa-727	261	4	.	.	PUNCT
ijassa-727	262	1	the	the	DET
ijassa-727	262	2	explorations	exploration	NOUN
ijassa-727	262	3	show	show	VERB
ijassa-727	262	4	that	that	SCONJ
ijassa-727	262	5	the	the	DET
ijassa-727	262	6	greater	great	ADJ
ijassa-727	262	7	the	the	DET
ijassa-727	262	8	degree	degree	NOUN
ijassa-727	262	9	of	of	ADP
ijassa-727	262	10	uncertainty	uncertainty	NOUN
ijassa-727	262	11	and	and	CCONJ
ijassa-727	262	12	the	the	DET
ijassa-727	262	13	greater	great	ADJ
ijassa-727	262	14	the	the	DET
ijassa-727	262	15	level	level	NOUN
ijassa-727	262	16	of	of	ADP
ijassa-727	262	17	reliability	reliability	NOUN
ijassa-727	262	18	,	,	PUNCT
ijassa-727	262	19	the	the	DET
ijassa-727	262	20	more	more	ADV
ijassa-727	262	21	conservative	conservative	ADJ
ijassa-727	262	22	obtained	obtain	VERB
ijassa-727	262	23	solutions	solution	NOUN
ijassa-727	262	24	.	.	PUNCT
ijassa-727	263	1	the	the	DET
ijassa-727	263	2	obtained	obtain	VERB
ijassa-727	263	3	results	result	NOUN
ijassa-727	263	4	do	do	AUX
ijassa-727	263	5	not	not	PART
ijassa-727	263	6	contradict	contradict	VERB
ijassa-727	263	7	the	the	DET
ijassa-727	263	8	experience	experience	NOUN
ijassa-727	263	9	and	and	CCONJ
ijassa-727	263	10	intuition	intuition	NOUN
ijassa-727	263	11	of	of	ADP
ijassa-727	263	12	the	the	DET
ijassa-727	263	13	designer	designer	NOUN
ijassa-727	263	14	,	,	PUNCT
ijassa-727	263	15	which	which	PRON
ijassa-727	263	16	confirms	confirm	VERB
ijassa-727	263	17	the	the	DET
ijassa-727	263	18	adequacy	adequacy	NOUN
ijassa-727	263	19	of	of	ADP
ijassa-727	263	20	the	the	DET
ijassa-727	263	21	models	model	NOUN
ijassa-727	263	22	.	.	PUNCT
ijassa-727	264	1	5	5	X
ijassa-727	264	2	.	.	X
ijassa-727	264	3	conclusion	conclusion	VERB
ijassa-727	264	4	the	the	DET
ijassa-727	264	5	models	model	NOUN
ijassa-727	264	6	of	of	ADP
ijassa-727	264	7	the	the	DET
ijassa-727	264	8	optimization	optimization	NOUN
ijassa-727	264	9	problem	problem	NOUN
ijassa-727	264	10	with	with	ADP
ijassa-727	264	11	constraints	constraint	NOUN
ijassa-727	264	12	under	under	ADP
ijassa-727	264	13	conditions	condition	NOUN
ijassa-727	264	14	of	of	ADP
ijassa-727	264	15	parametric	parametric	ADJ
ijassa-727	264	16	mixed	mixed	ADJ
ijassa-727	264	17	uncertainty	uncertainty	NOUN
ijassa-727	264	18	are	be	AUX
ijassa-727	264	19	proposed	propose	VERB
ijassa-727	264	20	.	.	PUNCT
ijassa-727	265	1	uncertain	uncertain	ADJ
ijassa-727	265	2	values	value	NOUN
ijassa-727	265	3	introduced	introduce	VERB
ijassa-727	265	4	in	in	ADP
ijassa-727	265	5	the	the	DET
ijassa-727	265	6	theory	theory	NOUN
ijassa-727	265	7	of	of	ADP
ijassa-727	265	8	uncertainty	uncertainty	NOUN
ijassa-727	265	9	models	model	VERB
ijassa-727	265	10	parameters	parameter	NOUN
ijassa-727	265	11	with	with	ADP
ijassa-727	265	12	epistemic	epistemic	ADJ
ijassa-727	265	13	uncertainty	uncertainty	NOUN
ijassa-727	265	14	.	.	PUNCT
ijassa-727	266	1	under	under	ADP
ijassa-727	266	2	certain	certain	ADJ
ijassa-727	266	3	conditions	condition	NOUN
ijassa-727	266	4	(	(	PUNCT
ijassa-727	266	5	for	for	ADP
ijassa-727	266	6	rather	rather	ADV
ijassa-727	266	7	wide	wide	ADJ
ijassa-727	266	8	class	class	NOUN
ijassa-727	266	9	of	of	ADP
ijassa-727	266	10	functions	function	NOUN
ijassa-727	266	11	)	)	PUNCT
ijassa-727	266	12	,	,	PUNCT
ijassa-727	266	13	optimization	optimization	NOUN
ijassa-727	266	14	models	model	NOUN
ijassa-727	266	15	with	with	ADP
ijassa-727	266	16	mixed	mixed	ADJ
ijassa-727	266	17	uncertainty	uncertainty	NOUN
ijassa-727	266	18	are	be	AUX
ijassa-727	266	19	reduced	reduce	VERB
ijassa-727	266	20	to	to	ADP
ijassa-727	266	21	deterministic	deterministic	ADJ
ijassa-727	266	22	models	model	NOUN
ijassa-727	266	23	or	or	CCONJ
ijassa-727	266	24	to	to	ADP
ijassa-727	266	25	stochastic	stochastic	ADJ
ijassa-727	266	26	programming	programming	NOUN
ijassa-727	266	27	models	model	NOUN
ijassa-727	266	28	with	with	ADP
ijassa-727	266	29	probabilistic	probabilistic	ADJ
ijassa-727	266	30	criteria	criterion	NOUN
ijassa-727	266	31	.	.	PUNCT
ijassa-727	267	1	we	we	PRON
ijassa-727	267	2	formalize	formalize	VERB
ijassa-727	267	3	and	and	CCONJ
ijassa-727	267	4	solve	solve	VERB
ijassa-727	267	5	the	the	DET
ijassa-727	267	6	task	task	NOUN
ijassa-727	267	7	of	of	ADP
ijassa-727	267	8	preliminary	preliminary	ADJ
ijassa-727	267	9	aerodynamic	aerodynamic	ADJ
ijassa-727	267	10	design	design	NOUN
ijassa-727	267	11	in	in	ADP
ijassa-727	267	12	conditions	condition	NOUN
ijassa-727	267	13	of	of	ADP
ijassa-727	267	14	parametric	parametric	ADJ
ijassa-727	267	15	mixed	mixed	ADJ
ijassa-727	267	16	uncertainty	uncertainty	NOUN
ijassa-727	267	17	using	use	VERB
ijassa-727	267	18	the	the	DET
ijassa-727	267	19	proposed	propose	VERB
ijassa-727	267	20	models	model	NOUN
ijassa-727	267	21	.	.	PUNCT
ijassa-727	268	1	acknowledgements	acknowledgement	NOUN
ijassa-727	268	2	this	this	DET
ijassa-727	268	3	work	work	NOUN
ijassa-727	268	4	was	be	AUX
ijassa-727	268	5	supported	support	VERB
ijassa-727	268	6	by	by	ADP
ijassa-727	268	7	the	the	DET
ijassa-727	268	8	russian	russian	ADJ
ijassa-727	268	9	foundation	foundation	NOUN
ijassa-727	268	10	for	for	ADP
ijassa-727	268	11	basic	basic	ADJ
ijassa-727	268	12	research	research	NOUN
ijassa-727	268	13	(	(	PUNCT
ijassa-727	268	14	grant	grant	PROPN
ijassa-727	268	15	18	18	NUM
ijassa-727	268	16	-	-	SYM
ijassa-727	268	17	08	08	NUM
ijassa-727	268	18	-	-	PUNCT
ijassa-727	268	19	00822a	00822a	NUM
ijassa-727	268	20	)	)	PUNCT
ijassa-727	268	21	references	reference	NOUN
ijassa-727	269	1	[	[	X
ijassa-727	269	2	1	1	NUM
ijassa-727	269	3	]	]	X
ijassa-727	269	4	liu	liu	PROPN
ijassa-727	269	5	b.	b.	PROPN
ijassa-727	269	6	(	(	PUNCT
ijassa-727	269	7	2010	2010	NUM
ijassa-727	269	8	)	)	PUNCT
ijassa-727	269	9	.	.	PUNCT
ijassa-727	270	1	uncertainty	uncertainty	NOUN
ijassa-727	270	2	theory	theory	NOUN
ijassa-727	270	3	:	:	PUNCT
ijassa-727	270	4	a	a	DET
ijassa-727	270	5	branch	branch	NOUN
ijassa-727	270	6	of	of	ADP
ijassa-727	270	7	mathematics	mathematic	NOUN
ijassa-727	270	8	for	for	ADP
ijassa-727	270	9	modeling	model	VERB
ijassa-727	270	10	human	human	ADJ
ijassa-727	270	11	uncertainty	uncertainty	NOUN
ijassa-727	270	12	.	.	PUNCT
ijassa-727	271	1	springer	springer	NOUN
ijassa-727	271	2	-	-	PUNCT
ijassa-727	271	3	verlag	verlag	PROPN
ijassa-727	271	4	,	,	PUNCT
ijassa-727	271	5	berlin	berlin	PROPN
ijassa-727	271	6	.	.	PUNCT
ijassa-727	272	1	[	[	X
ijassa-727	272	2	2	2	X
ijassa-727	272	3	]	]	PUNCT
ijassa-727	272	4	eldred	eldred	ADJ
ijassa-727	272	5	s.	s.	PROPN
ijassa-727	272	6	,	,	PUNCT
ijassa-727	272	7	swiler	swiler	NOUN
ijassa-727	272	8	t.	t.	PROPN
ijassa-727	272	9	,	,	PUNCT
ijassa-727	272	10	tang	tang	PROPN
ijassa-727	272	11	g.	g.	PROPN
ijassa-727	272	12	(	(	PUNCT
ijassa-727	272	13	2011	2011	NUM
ijassa-727	272	14	)	)	PUNCT
ijassa-727	272	15	.	.	PUNCT
ijassa-727	273	1	mixed	mixed	ADJ
ijassa-727	273	2	aleatory	aleatory	ADJ
ijassa-727	273	3	-	-	PUNCT
ijassa-727	273	4	epistemic	epistemic	ADJ
ijassa-727	273	5	uncertainty	uncertainty	NOUN
ijassa-727	273	6	quantification	quantification	NOUN
ijassa-727	273	7	with	with	ADP
ijassa-727	273	8	stochastic	stochastic	ADJ
ijassa-727	273	9	expansions	expansion	NOUN
ijassa-727	273	10	and	and	CCONJ
ijassa-727	273	11	optimization	optimization	NOUN
ijassa-727	273	12	-	-	PUNCT
ijassa-727	273	13	based	base	VERB
ijassa-727	273	14	interval	interval	NOUN
ijassa-727	273	15	estimation	estimation	NOUN
ijassa-727	273	16	.	.	PUNCT
ijassa-727	274	1	reliability	reliability	NOUN
ijassa-727	274	2	engineering	engineering	NOUN
ijassa-727	274	3	and	and	CCONJ
ijassa-727	274	4	system	system	NOUN
ijassa-727	274	5	safety	safety	NOUN
ijassa-727	274	6	.	.	PUNCT
ijassa-727	275	1	96	96	NUM
ijassa-727	275	2	(	(	PUNCT
ijassa-727	275	3	9	9	NUM
ijassa-727	275	4	)	)	PUNCT
ijassa-727	275	5	,	,	PUNCT
ijassa-727	275	6	1092	1092	NUM
ijassa-727	275	7	-	-	SYM
ijassa-727	275	8	1113	1113	NUM
ijassa-727	275	9	.	.	PUNCT
ijassa-727	276	1	20	20	NUM
ijassa-727	276	2	g.s	g.s	PROPN
ijassa-727	276	3	.	.	PROPN
ijassa-727	276	4	veresnikov	veresnikov	PROPN
ijassa-727	276	5	,	,	PUNCT
ijassa-727	276	6	l.a	l.a	PROPN
ijassa-727	276	7	.	.	PROPN
ijassa-727	276	8	pankova	pankova	PROPN
ijassa-727	276	9	,	,	PUNCT
ijassa-727	276	10	v.a	v.a	PROPN
ijassa-727	276	11	.	.	PROPN
ijassa-727	276	12	pronina	pronina	PROPN
ijassa-727	276	13	copyright	copyright	NOUN
ijassa-727	276	14	©	©	PROPN
ijassa-727	276	15	2019	2019	NUM
ijassa-727	276	16	assa	assa	PROPN
ijassa-727	276	17	adv	adv	PROPN
ijassa-727	276	18	.	.	PUNCT
ijassa-727	277	1	in	in	ADP
ijassa-727	277	2	systems	system	NOUN
ijassa-727	277	3	science	science	NOUN
ijassa-727	277	4	and	and	CCONJ
ijassa-727	277	5	appl	appl	NOUN
ijassa-727	277	6	.	.	PUNCT
ijassa-727	278	1	(	(	PUNCT
ijassa-727	278	2	2019	2019	NUM
ijassa-727	278	3	)	)	PUNCT
ijassa-727	279	1	[	[	X
ijassa-727	279	2	3	3	X
ijassa-727	279	3	]	]	X
ijassa-727	279	4	yazenin	yazenin	PROPN
ijassa-727	279	5	a.v	a.v	PROPN
ijassa-727	279	6	.	.	PUNCT
ijassa-727	279	7	(	(	PUNCT
ijassa-727	279	8	2016	2016	NUM
ijassa-727	279	9	)	)	PUNCT
ijassa-727	279	10	.	.	PUNCT
ijassa-727	280	1	osnovnye	osnovnye	PROPN
ijassa-727	280	2	ponyatiya	ponyatiya	PROPN
ijassa-727	280	3	teorii	teorii	PROPN
ijassa-727	280	4	vozmozhnostej	vozmozhnostej	NOUN
ijassa-727	280	5	[	[	X
ijassa-727	280	6	basic	basic	ADJ
ijassa-727	280	7	concepts	concept	NOUN
ijassa-727	280	8	of	of	ADP
ijassa-727	280	9	the	the	DET
ijassa-727	280	10	theory	theory	NOUN
ijassa-727	280	11	of	of	ADP
ijassa-727	280	12	possibilities	possibility	NOUN
ijassa-727	280	13	]	]	PUNCT
ijassa-727	280	14	.	.	PUNCT
ijassa-727	281	1	m.	m.	NOUN
ijassa-727	281	2	,	,	PUNCT
ijassa-727	281	3	fizmatlit	fizmatlit	ADJ
ijassa-727	281	4	.	.	PUNCT
ijassa-727	282	1	[	[	X
ijassa-727	282	2	in	in	ADP
ijassa-727	282	3	russian	russian	PROPN
ijassa-727	282	4	]	]	PUNCT
ijassa-727	282	5	.	.	PUNCT
ijassa-727	283	1	[	[	X
ijassa-727	283	2	4	4	X
ijassa-727	283	3	]	]	X
ijassa-727	283	4	lockwood	lockwood	PROPN
ijassa-727	283	5	b.	b.	PROPN
ijassa-727	283	6	,	,	PUNCT
ijassa-727	283	7	anitescu	anitescu	NOUN
ijassa-727	283	8	m.	m.	NOUN
ijassa-727	283	9	,	,	PUNCT
ijassa-727	283	10	mavripilis	mavripilis	PROPN
ijassa-727	283	11	d.	d.	PROPN
ijassa-727	283	12	(	(	PUNCT
ijassa-727	283	13	2012	2012	NUM
ijassa-727	283	14	)	)	PUNCT
ijassa-727	283	15	mixed	mixed	ADJ
ijassa-727	283	16	aleatory	aleatory	ADJ
ijassa-727	283	17	/	/	SYM
ijassa-727	283	18	epistemic	epistemic	ADJ
ijassa-727	283	19	uncertainty	uncertainty	NOUN
ijassa-727	283	20	quantification	quantification	NOUN
ijassa-727	283	21	for	for	ADP
ijassa-727	283	22	hypersonic	hypersonic	ADJ
ijassa-727	283	23	flows	flow	NOUN
ijassa-727	283	24	via	via	ADP
ijassa-727	283	25	gradient	gradient	NOUN
ijassa-727	283	26	-	-	PUNCT
ijassa-727	283	27	based	base	VERB
ijassa-727	283	28	optimization	optimization	NOUN
ijassa-727	283	29	and	and	CCONJ
ijassa-727	283	30	surrogate	surrogate	ADJ
ijassa-727	283	31	models	model	NOUN
ijassa-727	283	32	.	.	PUNCT
ijassa-727	284	1	50th	50th	ADJ
ijassa-727	284	2	aiaa	aiaa	PROPN
ijassa-727	284	3	aerospace	aerospace	PROPN
ijassa-727	284	4	sciences	sciences	PROPN
ijassa-727	284	5	meeting	meeting	NOUN
ijassa-727	284	6	,	,	PUNCT
ijassa-727	284	7	aiaa-2012	aiaa-2012	NOUN
ijassa-727	284	8	-	-	PUNCT
ijassa-727	284	9	1254	1254	NUM
ijassa-727	284	10	.	.	PUNCT
ijassa-727	285	1	[	[	X
ijassa-727	285	2	5	5	NUM
ijassa-727	285	3	]	]	SYM
ijassa-727	285	4	vishnaykov	vishnaykov	PROPN
ijassa-727	285	5	v.	v.	PROPN
ijassa-727	285	6	b.	b.	PROPN
ijassa-727	285	7	,	,	PUNCT
ijassa-727	285	8	kibzun	kibzun	PROPN
ijassa-727	285	9	a.	a.	PROPN
ijassa-727	285	10	i.	i.	PROPN
ijassa-727	285	11	(	(	PUNCT
ijassa-727	285	12	2006	2006	NUM
ijassa-727	285	13	)	)	PUNCT
ijassa-727	285	14	.	.	PUNCT
ijassa-727	286	1	deterministic	deterministic	ADJ
ijassa-727	286	2	equivalents	equivalent	NOUN
ijassa-727	286	3	for	for	ADP
ijassa-727	286	4	the	the	DET
ijassa-727	286	5	problems	problem	NOUN
ijassa-727	286	6	of	of	ADP
ijassa-727	286	7	stochastic	stochastic	ADJ
ijassa-727	286	8	programming	programming	NOUN
ijassa-727	286	9	with	with	ADP
ijassa-727	286	10	probabilistic	probabilistic	ADJ
ijassa-727	286	11	criteria	criterion	NOUN
ijassa-727	286	12	.	.	PUNCT
ijassa-727	287	1	automation	automation	NOUN
ijassa-727	287	2	and	and	CCONJ
ijassa-727	287	3	remote	remote	ADJ
ijassa-727	287	4	control	control	NOUN
ijassa-727	287	5	,	,	PUNCT
ijassa-727	287	6	67	67	NUM
ijassa-727	287	7	(	(	PUNCT
ijassa-727	287	8	6	6	NUM
ijassa-727	287	9	)	)	PUNCT
ijassa-727	287	10	,	,	PUNCT
ijassa-727	287	11	945–961	945–961	NUM
ijassa-727	287	12	.	.	PUNCT
ijassa-727	288	1	[	[	X
ijassa-727	288	2	6	6	NUM
ijassa-727	288	3	]	]	PUNCT
ijassa-727	288	4	geletu	geletu	NOUN
ijassa-727	288	5	,	,	PUNCT
ijassa-727	288	6	a.	a.	NOUN
ijassa-727	288	7	,	,	PUNCT
ijassa-727	288	8	kl¨oppel	kl¨oppel	NOUN
ijassa-727	288	9	m.	m.	NOUN
ijassa-727	288	10	zhag	zhag	PROPN
ijassa-727	288	11	h.	h.	PROPN
ijassa-727	288	12	,	,	PUNCT
ijassa-727	288	13	li	li	PROPN
ijassa-727	288	14	p.	p.	PROPN
ijassa-727	288	15	(	(	PUNCT
ijassa-727	288	16	2012	2012	NUM
ijassa-727	288	17	)	)	PUNCT
ijassa-727	288	18	.	.	PUNCT
ijassa-727	289	1	advances	advance	NOUN
ijassa-727	289	2	and	and	CCONJ
ijassa-727	289	3	applications	application	NOUN
ijassa-727	289	4	of	of	ADP
ijassa-727	289	5	chanceconstrained	chanceconstraine	VERB
ijassa-727	289	6	approaches	approach	NOUN
ijassa-727	289	7	to	to	ADP
ijassa-727	289	8	systems	system	NOUN
ijassa-727	289	9	optimization	optimization	NOUN
ijassa-727	289	10	under	under	ADP
ijassa-727	289	11	uncertainty	uncertainty	NOUN
ijassa-727	289	12	.	.	PUNCT
ijassa-727	290	1	international	international	ADJ
ijassa-727	290	2	journal	journal	PROPN
ijassa-727	290	3	of	of	ADP
ijassa-727	290	4	systems	system	NOUN
ijassa-727	290	5	science	science	NOUN
ijassa-727	290	6	,	,	PUNCT
ijassa-727	290	7	44	44	NUM
ijassa-727	290	8	(	(	PUNCT
ijassa-727	290	9	7	7	NUM
ijassa-727	290	10	)	)	PUNCT
ijassa-727	290	11	,	,	PUNCT
ijassa-727	290	12	1209	1209	NUM
ijassa-727	290	13	-	-	SYM
ijassa-727	290	14	1232	1232	NUM
ijassa-727	290	15	.	.	PUNCT
ijassa-727	291	1	[	[	X
ijassa-727	291	2	7	7	X
ijassa-727	291	3	]	]	X
ijassa-727	291	4	kolokolova	kolokolova	PROPN
ijassa-727	291	5	l.g	l.g	PROPN
ijassa-727	291	6	.	.	PROPN
ijassa-727	291	7	(	(	PUNCT
ijassa-727	291	8	1995	1995	NUM
ijassa-727	291	9	)	)	PUNCT
ijassa-727	291	10	.	.	PUNCT
ijassa-727	292	1	metod	metod	VERB
ijassa-727	292	2	obobshchennykh	obobshchennykh	ADJ
ijassa-727	292	3	modelej	modelej	NOUN
ijassa-727	292	4	svojstv	svojstv	PROPN
ijassa-727	292	5	samoleta	samoleta	PROPN
ijassa-727	292	6	dlya	dlya	PROPN
ijassa-727	292	7	etapa	etapa	PROPN
ijassa-727	292	8	rannego	rannego	PROPN
ijassa-727	292	9	proektirovaniya	proektirovaniya	PROPN
ijassa-727	293	1	[	[	X
ijassa-727	293	2	method	method	NOUN
ijassa-727	293	3	of	of	ADP
ijassa-727	293	4	generalized	generalized	ADJ
ijassa-727	293	5	models	model	NOUN
ijassa-727	293	6	of	of	ADP
ijassa-727	293	7	the	the	DET
ijassa-727	293	8	properties	property	NOUN
ijassa-727	293	9	of	of	ADP
ijassa-727	293	10	the	the	DET
ijassa-727	293	11	aircraft	aircraft	NOUN
ijassa-727	293	12	for	for	ADP
ijassa-727	293	13	the	the	DET
ijassa-727	293	14	early	early	ADJ
ijassa-727	293	15	design	design	NOUN
ijassa-727	293	16	stage	stage	NOUN
ijassa-727	293	17	]	]	PUNCT
ijassa-727	293	18	.	.	PUNCT
ijassa-727	293	19	tekhika	tekhika	PROPN
ijassa-727	293	20	vozdushnogo	vozdushnogo	PROPN
ijassa-727	293	21	flota	flota	PROPN
ijassa-727	293	22	,	,	PUNCT
ijassa-727	293	23	№	№	ADV
ijassa-727	293	24	5	5	NUM
ijassa-727	293	25	-	-	SYM
ijassa-727	293	26	6	6	NUM
ijassa-727	293	27	.	.	PUNCT
ijassa-727	294	1	[	[	X
ijassa-727	294	2	in	in	ADP
ijassa-727	294	3	russian	russian	PROPN
ijassa-727	294	4	]	]	PUNCT
ijassa-727	294	5	.	.	PUNCT
ijassa-727	295	1	appendix	appendix	VERB
ijassa-727	295	2	[	[	X
ijassa-727	295	3	1	1	X
ijassa-727	295	4	]	]	PUNCT
ijassa-727	295	5	definition	definition	NOUN
ijassa-727	295	6	1	1	NUM
ijassa-727	295	7	:	:	PUNCT
ijassa-727	295	8	let	let	VERB
ijassa-727	295	9	γ	γ	PART
ijassa-727	295	10	be	be	AUX
ijassa-727	295	11	a	a	DET
ijassa-727	295	12	nonempty	nonempty	ADJ
ijassa-727	295	13	set	set	NOUN
ijassa-727	295	14	,	,	PUNCT
ijassa-727	295	15	let	let	VERB
ijassa-727	295	16	λ	λ	PRON
ijassa-727	295	17	be	be	AUX
ijassa-727	295	18	a	a	DET
ijassa-727	295	19	σ	σ	NOUN
ijassa-727	295	20	-	-	PUNCT
ijassa-727	295	21	algebra	algebra	PROPN
ijassa-727	295	22	over	over	ADP
ijassa-727	295	23	γ	γ	NOUN
ijassa-727	295	24	,	,	PUNCT
ijassa-727	295	25	and	and	CCONJ
ijassa-727	295	26	let	let	VERB
ijassa-727	295	27	m	m	PRON
ijassa-727	295	28	be	be	AUX
ijassa-727	295	29	an	an	DET
ijassa-727	295	30	uncertain	uncertain	ADJ
ijassa-727	295	31	measure	measure	NOUN
ijassa-727	295	32	.	.	PUNCT
ijassa-727	296	1	then	then	ADV
ijassa-727	296	2	the	the	DET
ijassa-727	296	3	triplet	triplet	NOUN
ijassa-727	296	4	(	(	PUNCT
ijassa-727	296	5	γ	γ	X
ijassa-727	296	6	,	,	PUNCT
ijassa-727	296	7	l	l	PROPN
ijassa-727	296	8	,	,	PUNCT
ijassa-727	296	9	m	m	VERB
ijassa-727	296	10	)	)	PUNCT
ijassa-727	296	11	is	be	AUX
ijassa-727	296	12	called	call	VERB
ijassa-727	296	13	an	an	DET
ijassa-727	296	14	uncertainty	uncertainty	NOUN
ijassa-727	296	15	space	space	NOUN
ijassa-727	296	16	.	.	PUNCT
ijassa-727	297	1	a	a	DET
ijassa-727	297	2	number	number	NOUN
ijassa-727	297	3	m{λ	m{λ	NOUN
ijassa-727	297	4	}	}	PUNCT
ijassa-727	297	5	will	will	AUX
ijassa-727	297	6	be	be	AUX
ijassa-727	297	7	assigned	assign	VERB
ijassa-727	297	8	to	to	ADP
ijassa-727	297	9	each	each	DET
ijassa-727	297	10	event	event	NOUN
ijassa-727	297	11	λ	λ	INTJ
ijassa-727	297	12	to	to	PART
ijassa-727	297	13	indicate	indicate	VERB
ijassa-727	297	14	the	the	DET
ijassa-727	297	15	belief	belief	NOUN
ijassa-727	297	16	degree	degree	NOUN
ijassa-727	297	17	with	with	ADP
ijassa-727	297	18	which	which	PRON
ijassa-727	297	19	we	we	PRON
ijassa-727	297	20	believe	believe	VERB
ijassa-727	297	21	λ	λ	NOUN
ijassa-727	297	22	will	will	AUX
ijassa-727	297	23	happen	happen	VERB
ijassa-727	297	24	.	.	PUNCT
ijassa-727	298	1	the	the	DET
ijassa-727	298	2	measure	measure	NOUN
ijassa-727	298	3	of	of	ADP
ijassa-727	298	4	uncertainty	uncertainty	NOUN
ijassa-727	298	5	m	m	VERB
ijassa-727	298	6	is	be	AUX
ijassa-727	298	7	dual	dual	ADJ
ijassa-727	298	8	,	,	PUNCT
ijassa-727	298	9	subadditive	subadditive	ADJ
ijassa-727	298	10	,	,	PUNCT
ijassa-727	298	11	the	the	DET
ijassa-727	298	12	measure	measure	NOUN
ijassa-727	298	13	of	of	ADP
ijassa-727	298	14	the	the	DET
ijassa-727	298	15	product	product	NOUN
ijassa-727	298	16	of	of	ADP
ijassa-727	298	17	events	event	NOUN
ijassa-727	298	18	is	be	AUX
ijassa-727	298	19	equal	equal	ADJ
ijassa-727	298	20	to	to	ADP
ijassa-727	298	21	the	the	DET
ijassa-727	298	22	minimum	minimum	NOUN
ijassa-727	298	23	of	of	ADP
ijassa-727	298	24	the	the	DET
ijassa-727	298	25	measures	measure	NOUN
ijassa-727	298	26	of	of	ADP
ijassa-727	298	27	these	these	DET
ijassa-727	298	28	events	event	NOUN
ijassa-727	298	29	.	.	PUNCT
ijassa-727	299	1	definition	definition	NOUN
ijassa-727	299	2	2	2	NUM
ijassa-727	299	3	:	:	PUNCT
ijassa-727	299	4	an	an	DET
ijassa-727	299	5	uncertain	uncertain	ADJ
ijassa-727	299	6	variable	variable	NOUN
ijassa-727	299	7	is	be	AUX
ijassa-727	299	8	a	a	DET
ijassa-727	299	9	function	function	NOUN
ijassa-727	299	10	ξ	ξ	PROPN
ijassa-727	299	11	from	from	ADP
ijassa-727	299	12	γ	γ	NOUN
ijassa-727	299	13	to	to	ADP
ijassa-727	299	14	the	the	DET
ijassa-727	299	15	set	set	NOUN
ijassa-727	299	16	of	of	ADP
ijassa-727	299	17	real	real	ADJ
ijassa-727	299	18	numbers	number	NOUN
ijassa-727	299	19	such	such	ADJ
ijassa-727	299	20	that	that	SCONJ
ijassa-727	299	21	{	{	PUNCT
ijassa-727	299	22	γ	γ	X
ijassa-727	299	23	|ξ(γ)∈	|ξ(γ)∈	PROPN
ijassa-727	299	24	b}is	b}is	PRON
ijassa-727	299	25	an	an	DET
ijassa-727	299	26	event	event	NOUN
ijassa-727	299	27	for	for	ADP
ijassa-727	299	28	any	any	DET
ijassa-727	299	29	borel	borel	NOUN
ijassa-727	299	30	set	set	VERB
ijassa-727	299	31	b	b	PROPN
ijassa-727	299	32	of	of	ADP
ijassa-727	299	33	real	real	ADJ
ijassa-727	299	34	numbers	number	NOUN
ijassa-727	299	35	.	.	PUNCT
ijassa-727	300	1	definition	definition	NOUN
ijassa-727	300	2	3	3	NUM
ijassa-727	300	3	:	:	PUNCT
ijassa-727	300	4	the	the	DET
ijassa-727	300	5	uncertainty	uncertainty	NOUN
ijassa-727	300	6	distribution	distribution	NOUN
ijassa-727	300	7	of	of	ADP
ijassa-727	300	8	an	an	DET
ijassa-727	300	9	uncertain	uncertain	ADJ
ijassa-727	300	10	variable	variable	NOUN
ijassa-727	300	11	ξ	ξ	PROPN
ijassa-727	300	12	is	be	AUX
ijassa-727	300	13	defined	define	VERB
ijassa-727	300	14	by	by	ADP
ijassa-727	300	15	φ(x	φ(x	NOUN
ijassa-727	300	16	)	)	PUNCT
ijassa-727	300	17	=	=	VERB
ijassa-727	300	18	m	m	VERB
ijassa-727	300	19	{	{	PUNCT
ijassa-727	300	20	ξ	ξ	X
ijassa-727	300	21	≤	≤	NUM
ijassa-727	300	22	x	x	X
ijassa-727	300	23	}	}	PUNCT
ijassa-727	300	24	for	for	ADP
ijassa-727	300	25	any	any	DET
ijassa-727	300	26	real	real	ADJ
ijassa-727	300	27	number	number	NOUN
ijassa-727	300	28	x.	x.	NOUN
ijassa-727	300	29	definition	definition	NOUN
ijassa-727	300	30	4	4	NUM
ijassa-727	300	31	:	:	PUNCT
ijassa-727	300	32	an	an	DET
ijassa-727	300	33	uncertainty	uncertainty	NOUN
ijassa-727	300	34	distribution	distribution	NOUN
ijassa-727	300	35	φ(x	φ(x	NOUN
ijassa-727	300	36	)	)	PUNCT
ijassa-727	300	37	is	be	AUX
ijassa-727	300	38	said	say	VERB
ijassa-727	300	39	to	to	PART
ijassa-727	300	40	be	be	AUX
ijassa-727	300	41	regular	regular	ADJ
ijassa-727	300	42	if	if	SCONJ
ijassa-727	300	43	it	it	PRON
ijassa-727	300	44	is	be	AUX
ijassa-727	300	45	a	a	DET
ijassa-727	300	46	continuous	continuous	ADJ
ijassa-727	300	47	and	and	CCONJ
ijassa-727	300	48	strictly	strictly	ADV
ijassa-727	300	49	increasing	increase	VERB
ijassa-727	300	50	function	function	NOUN
ijassa-727	300	51	with	with	ADP
ijassa-727	300	52	respect	respect	NOUN
ijassa-727	300	53	to	to	ADP
ijassa-727	300	54	x	x	PUNCT
ijassa-727	300	55	at	at	ADP
ijassa-727	300	56	which	which	PRON
ijassa-727	300	57	0	0	PUNCT
ijassa-727	300	58	<	<	X
ijassa-727	300	59	φ(x	φ(x	PROPN
ijassa-727	300	60	)	)	PUNCT
ijassa-727	300	61	<	<	X
ijassa-727	300	62	1	1	NUM
ijassa-727	300	63	,	,	PUNCT
ijassa-727	300	64	and	and	CCONJ
ijassa-727	300	65	definition	definition	NOUN
ijassa-727	300	66	5	5	NUM
ijassa-727	300	67	:	:	PUNCT
ijassa-727	300	68	let	let	VERB
ijassa-727	300	69	ξ	ξ	X
ijassa-727	300	70	be	be	AUX
ijassa-727	300	71	an	an	DET
ijassa-727	300	72	uncertain	uncertain	ADJ
ijassa-727	300	73	variable	variable	NOUN
ijassa-727	300	74	with	with	ADP
ijassa-727	300	75	regular	regular	ADJ
ijassa-727	300	76	uncertainty	uncertainty	NOUN
ijassa-727	300	77	distribution	distribution	NOUN
ijassa-727	300	78	φ(x	φ(x	NOUN
ijassa-727	300	79	)	)	PUNCT
ijassa-727	300	80	.	.	PUNCT
ijassa-727	301	1	then	then	ADV
ijassa-727	301	2	the	the	DET
ijassa-727	301	3	inverse	inverse	NOUN
ijassa-727	301	4	function	function	NOUN
ijassa-727	301	5	φ−1	φ−1	PROPN
ijassa-727	301	6	(	(	PUNCT
ijassa-727	301	7	α	α	NOUN
ijassa-727	301	8	)	)	PUNCT
ijassa-727	301	9	is	be	AUX
ijassa-727	301	10	called	call	VERB
ijassa-727	301	11	the	the	DET
ijassa-727	301	12	inverse	inverse	ADJ
ijassa-727	301	13	uncertainty	uncertainty	NOUN
ijassa-727	301	14	distribution	distribution	NOUN
ijassa-727	301	15	of	of	ADP
ijassa-727	301	16	ξ	ξ	PROPN
ijassa-727	301	17	.	.	PUNCT
ijassa-727	302	1	definition	definition	NOUN
ijassa-727	302	2	6	6	NUM
ijassa-727	302	3	:	:	PUNCT
ijassa-727	302	4	the	the	DET
ijassa-727	302	5	uncertain	uncertain	ADJ
ijassa-727	302	6	variables	variable	NOUN
ijassa-727	302	7	ξ1	ξ1	NOUN
ijassa-727	302	8	,	,	PUNCT
ijassa-727	302	9	ξ2	ξ2	NOUN
ijassa-727	302	10	,	,	PUNCT
ijassa-727	302	11	…	…	PUNCT
ijassa-727	302	12	,	,	PUNCT
ijassa-727	302	13	ξn	ξn	PROPN
ijassa-727	302	14	are	be	AUX
ijassa-727	302	15	said	say	VERB
ijassa-727	302	16	to	to	PART
ijassa-727	302	17	be	be	AUX
ijassa-727	302	18	independent	independent	ADJ
ijassa-727	302	19	if	if	SCONJ
ijassa-727	302	20	)	)	PUNCT
ijassa-727	302	21	(	(	PUNCT
ijassa-727	302	22	)	)	PUNCT
ijassa-727	302	23	}	}	PUNCT
ijassa-727	302	24	(	(	PUNCT
ijassa-727	302	25	{	{	PUNCT
ijassa-727	302	26	11	11	NUM
ijassa-727	302	27	ii	ii	NOUN
ijassa-727	302	28	n	n	PROPN
ijassa-727	302	29	k	k	PROPN
ijassa-727	302	30	ii	ii	PROPN
ijassa-727	303	1	n	n	INTJ
ijassa-727	303	2	i	i	PRON
ijassa-727	303	3	bmbm	bmbm	VERB
ijassa-727	303	4			NOUN
ijassa-727	303	5			NUM
ijassa-727	303	6			NOUN
ijassa-727	303	7	.1)(lim,0)(lim	.1)(lim,0)(lim	PUNCT
ijassa-727	304	1			PUNCT
ijassa-727	304	2			VERB
ijassa-727	304	3	xx	xx	NUM
ijassa-727	304	4	xx	xx	NUM
ijassa-727	304	5	models	model	NOUN
ijassa-727	304	6	of	of	ADP
ijassa-727	304	7	uncertain	uncertain	ADJ
ijassa-727	304	8	-	-	PUNCT
ijassa-727	304	9	random	random	ADJ
ijassa-727	304	10	programming	programming	NOUN
ijassa-727	304	11	21	21	NUM
ijassa-727	304	12	copyright	copyright	NOUN
ijassa-727	304	13	©	©	PROPN
ijassa-727	304	14	2019	2019	NUM
ijassa-727	304	15	assa	assa	NOUN
ijassa-727	304	16	.	.	PUNCT
ijassa-727	305	1	adv	adv	PROPN
ijassa-727	305	2	.	.	PUNCT
ijassa-727	306	1	in	in	ADP
ijassa-727	306	2	systems	system	NOUN
ijassa-727	306	3	science	science	NOUN
ijassa-727	306	4	and	and	CCONJ
ijassa-727	306	5	appl	appl	NOUN
ijassa-727	306	6	.	.	PUNCT
ijassa-727	307	1	(	(	PUNCT
ijassa-727	307	2	2019	2019	NUM
ijassa-727	307	3	)	)	PUNCT
ijassa-727	307	4	for	for	ADP
ijassa-727	307	5	any	any	DET
ijassa-727	307	6	borel	borel	NOUN
ijassa-727	307	7	sets	set	VERB
ijassa-727	307	8	b1	b1	NOUN
ijassa-727	307	9	,	,	PUNCT
ijassa-727	307	10	b2	b2	NOUN
ijassa-727	307	11	,	,	PUNCT
ijassa-727	307	12	…	…	PUNCT
ijassa-727	307	13	,	,	PUNCT
ijassa-727	307	14	bn	bn	NOUN
ijassa-727	307	15	of	of	ADP
ijassa-727	307	16	real	real	ADJ
ijassa-727	307	17	numbers	number	NOUN
ijassa-727	307	18	.	.	PUNCT
ijassa-727	308	1	theorem	theorem	NOUN
ijassa-727	308	2	1	1	NUM
ijassa-727	308	3	:	:	PUNCT
ijassa-727	308	4	let	let	VERB
ijassa-727	308	5	ξ1	ξ1	NOUN
ijassa-727	308	6	,	,	PUNCT
ijassa-727	308	7	ξ2	ξ2	ADJ
ijassa-727	308	8	,	,	PUNCT
ijassa-727	308	9	…	…	PUNCT
ijassa-727	308	10	,	,	PUNCT
ijassa-727	308	11	ξn	ξn	PROPN
ijassa-727	308	12	be	be	VERB
ijassa-727	308	13	uncertain	uncertain	ADJ
ijassa-727	308	14	variables	variable	NOUN
ijassa-727	308	15	,	,	PUNCT
ijassa-727	308	16	and	and	CCONJ
ijassa-727	308	17	let	let	VERB
ijassa-727	308	18	f	f	PRON
ijassa-727	308	19	be	be	AUX
ijassa-727	308	20	a	a	DET
ijassa-727	308	21	real	real	ADV
ijassa-727	308	22	-	-	PUNCT
ijassa-727	308	23	valued	value	VERB
ijassa-727	308	24	measurable	measurable	ADJ
ijassa-727	308	25	function	function	NOUN
ijassa-727	308	26	.	.	PUNCT
ijassa-727	309	1	then	then	ADV
ijassa-727	309	2	)	)	PUNCT
ijassa-727	309	3	...	...	PUNCT
ijassa-727	309	4	,	,	PUNCT
ijassa-727	309	5	,	,	PUNCT
ijassa-727	309	6	,	,	PUNCT
ijassa-727	309	7	(	(	PUNCT
ijassa-727	309	8	21	21	NUM
ijassa-727	309	9	nf	nf	NOUN
ijassa-727	309	10			NOUN
ijassa-727	309	11	is	be	AUX
ijassa-727	309	12	an	an	DET
ijassa-727	309	13	uncertain	uncertain	ADJ
ijassa-727	309	14	variable	variable	NOUN
ijassa-727	309	15	.	.	PUNCT
ijassa-727	310	1	definition	definition	NOUN
ijassa-727	310	2	7	7	NUM
ijassa-727	310	3	:	:	PUNCT
ijassa-727	310	4	let	let	VERB
ijassa-727	310	5	ξ	ξ	X
ijassa-727	310	6	be	be	AUX
ijassa-727	310	7	an	an	DET
ijassa-727	310	8	uncertain	uncertain	ADJ
ijassa-727	310	9	variable	variable	NOUN
ijassa-727	310	10	.	.	PUNCT
ijassa-727	311	1	then	then	ADV
ijassa-727	311	2	the	the	DET
ijassa-727	311	3	expected	expect	VERB
ijassa-727	311	4	value	value	NOUN
ijassa-727	311	5	of	of	ADP
ijassa-727	311	6	ξ	ξ	PROPN
ijassa-727	311	7	is	be	AUX
ijassa-727	311	8	defined	define	VERB
ijassa-727	311	9	by	by	ADP
ijassa-727	311	10	.	.	PUNCT
ijassa-727	311	11	}	}	PUNCT
ijassa-727	311	12	{	{	PUNCT
ijassa-727	311	13	}	}	PUNCT
ijassa-727	311	14	{	{	PUNCT
ijassa-727	311	15	]	]	X
ijassa-727	311	16	[	[	PUNCT
ijassa-727	311	17	0	0	NUM
ijassa-727	311	18	0	0	NUM
ijassa-727	311	19	drrmdrrme	drrmdrrme	VERB
ijassa-727	311	20			PROPN
ijassa-727	311	21			PROPN
ijassa-727	312	1			PROPN
ijassa-727	312	2			PROPN
ijassa-727	313	1			PROPN
ijassa-727	313	2	definition	definition	NOUN
ijassa-727	313	3	8	8	NUM
ijassa-727	313	4	:	:	PUNCT
ijassa-727	313	5	let	let	VERB
ijassa-727	313	6	ξ	ξ	X
ijassa-727	313	7	be	be	AUX
ijassa-727	313	8	an	an	DET
ijassa-727	313	9	uncertain	uncertain	ADJ
ijassa-727	313	10	variable	variable	NOUN
ijassa-727	313	11	with	with	ADP
ijassa-727	313	12	finite	finite	NOUN
ijassa-727	313	13	expected	expect	VERB
ijassa-727	313	14	value	value	NOUN
ijassa-727	313	15	e[ξ	e[ξ	NOUN
ijassa-727	313	16	]	]	PUNCT
ijassa-727	313	17	.	.	PUNCT
ijassa-727	314	1	then	then	ADV
ijassa-727	314	2	the	the	DET
ijassa-727	314	3	variance	variance	NOUN
ijassa-727	314	4	of	of	ADP
ijassa-727	314	5	ξ	ξ	PROPN
ijassa-727	314	6	is	be	AUX
ijassa-727	314	7	v[ξ	v[ξ	PRON
ijassa-727	314	8	]	]	X
ijassa-727	314	9	=	=	PUNCT
ijassa-727	314	10	e[(ξ	e[(ξ	PROPN
ijassa-727	314	11	–	–	PUNCT
ijassa-727	314	12	e[ξ])]2	e[ξ])]2	PROPN
ijassa-727	314	13	.	.	PUNCT
ijassa-727	315	1	theorem	theorem	VERB
ijassa-727	315	2	2	2	NUM
ijassa-727	315	3	:	:	PUNCT
ijassa-727	315	4	let	let	VERB
ijassa-727	315	5	f(ξ1	f(ξ1	NOUN
ijassa-727	315	6	,	,	PUNCT
ijassa-727	315	7	ξ2	ξ2	ADJ
ijassa-727	315	8	,	,	PUNCT
ijassa-727	315	9	…	…	PUNCT
ijassa-727	315	10	,	,	PUNCT
ijassa-727	315	11	ξn	ξn	NOUN
ijassa-727	315	12	)	)	PUNCT
ijassa-727	315	13	be	be	AUX
ijassa-727	315	14	continuous	continuous	ADJ
ijassa-727	315	15	,	,	PUNCT
ijassa-727	315	16	strictly	strictly	ADV
ijassa-727	315	17	increasing	increase	VERB
ijassa-727	315	18	with	with	ADP
ijassa-727	315	19	respect	respect	NOUN
ijassa-727	315	20	to	to	ADP
ijassa-727	315	21	ξ1	ξ1	NOUN
ijassa-727	315	22	,	,	PUNCT
ijassa-727	315	23	ξ2	ξ2	ADJ
ijassa-727	315	24	,	,	PUNCT
ijassa-727	315	25	…	…	PUNCT
ijassa-727	315	26	,	,	PUNCT
ijassa-727	315	27	ξm	ξm	X
ijassa-727	315	28	continuous	continuous	ADJ
ijassa-727	315	29	,	,	PUNCT
ijassa-727	315	30	strictly	strictly	ADV
ijassa-727	315	31	decreasing	decrease	VERB
ijassa-727	315	32	with	with	ADP
ijassa-727	315	33	respect	respect	NOUN
ijassa-727	315	34	to	to	ADP
ijassa-727	315	35	ξm+1	ξm+1	PROPN
ijassa-727	315	36	,	,	PUNCT
ijassa-727	315	37	ξm+2	ξm+2	NOUN
ijassa-727	315	38	,	,	PUNCT
ijassa-727	315	39	…	…	PUNCT
ijassa-727	315	40	,	,	PUNCT
ijassa-727	315	41	ξn	ξn	PROPN
ijassa-727	315	42	.	.	PUNCT
ijassa-727	316	1	if	if	SCONJ
ijassa-727	316	2	ξ1	ξ1	NOUN
ijassa-727	316	3	,	,	PUNCT
ijassa-727	316	4	ξ2	ξ2	NOUN
ijassa-727	316	5	,	,	PUNCT
ijassa-727	316	6	…	…	PUNCT
ijassa-727	316	7	,	,	PUNCT
ijassa-727	316	8	ξn	ξn	PROPN
ijassa-727	316	9	are	be	AUX
ijassa-727	316	10	independent	independent	ADJ
ijassa-727	316	11	uncertain	uncertain	ADJ
ijassa-727	316	12	variables	variable	NOUN
ijassa-727	316	13	with	with	ADP
ijassa-727	316	14	regular	regular	ADJ
ijassa-727	316	15	uncertainty	uncertainty	NOUN
ijassa-727	316	16	distributions	distribution	NOUN
ijassa-727	316	17	φ1	φ1	PROPN
ijassa-727	316	18	,	,	PUNCT
ijassa-727	316	19	φ2	φ2	PROPN
ijassa-727	316	20	,	,	PUNCT
ijassa-727	316	21	…	…	PUNCT
ijassa-727	316	22	,	,	PUNCT
ijassa-727	316	23	φn	φn	NOUN
ijassa-727	316	24	,	,	PUNCT
ijassa-727	316	25	respectively	respectively	ADV
ijassa-727	316	26	,	,	PUNCT
ijassa-727	316	27	then	then	ADV
ijassa-727	316	28	:	:	PUNCT
ijassa-727	316	29	a	a	X
ijassa-727	316	30	)	)	PUNCT
ijassa-727	316	31	ξ	ξ	NOUN
ijassa-727	316	32	=	=	SYM
ijassa-727	316	33	f(ξ1	f(ξ1	ADJ
ijassa-727	316	34	,	,	PUNCT
ijassa-727	316	35	ξ2	ξ2	NOUN
ijassa-727	316	36	,	,	PUNCT
ijassa-727	316	37	…	…	PUNCT
ijassa-727	316	38	,	,	PUNCT
ijassa-727	316	39	ξn	ξn	NOUN
ijassa-727	316	40	)	)	PUNCT
ijassa-727	316	41	is	be	AUX
ijassa-727	316	42	uncertain	uncertain	ADJ
ijassa-727	316	43	variable	variable	NOUN
ijassa-727	316	44	with	with	ADP
ijassa-727	316	45	inverse	inverse	ADJ
ijassa-727	316	46	uncertainty	uncertainty	NOUN
ijassa-727	316	47	distribution	distribution	NOUN
ijassa-727	316	48	:	:	PUNCT
ijassa-727	316	49	)	)	PUNCT
ijassa-727	316	50	)	)	PUNCT
ijassa-727	316	51	,	,	PUNCT
ijassa-727	316	52	1(	1(	NUM
ijassa-727	316	53	...	...	PUNCT
ijassa-727	316	54	,),1(),(	,),1(),(	PUNCT
ijassa-727	316	55	...	...	PUNCT
ijassa-727	316	56	,),(),(()(1	,),(),(()(1	PUNCT
ijassa-727	316	57	11	11	NUM
ijassa-727	316	58	1	1	NUM
ijassa-727	316	59	11	11	NUM
ijassa-727	316	60	2	2	NUM
ijassa-727	316	61	1	1	NUM
ijassa-727	316	62	1	1	NUM
ijassa-727	316	63			ADV
ijassa-727	316	64			PROPN
ijassa-727	316	65			PROPN
ijassa-727	316	66			ADV
ijassa-727	316	67			NUM
ijassa-727	316	68	nmmf	nmmf	ADJ
ijassa-727	316	69	b	b	NOUN
ijassa-727	316	70	)	)	PUNCT
ijassa-727	316	71	,	,	PUNCT
ijassa-727	316	72	)	)	PUNCT
ijassa-727	316	73	)	)	PUNCT
ijassa-727	317	1	1(),	1(),	NUM
ijassa-727	317	2	...	...	PUNCT
ijassa-727	317	3	,1	,1	NOUN
ijassa-727	317	4	(	(	PUNCT
ijassa-727	317	5	)	)	PUNCT
ijassa-727	317	6	,	,	PUNCT
ijassa-727	317	7	(	(	PUNCT
ijassa-727	317	8	)	)	PUNCT
ijassa-727	317	9	,	,	PUNCT
ijassa-727	317	10	...	...	PUNCT
ijassa-727	317	11	,	,	PUNCT
ijassa-727	317	12	(	(	PUNCT
ijassa-727	317	13	)	)	PUNCT
ijassa-727	317	14	,	,	PUNCT
ijassa-727	317	15	(	(	PUNCT
ijassa-727	317	16	(	(	PUNCT
ijassa-727	317	17	]	]	X
ijassa-727	317	18	[	[	PUNCT
ijassa-727	317	19	11	11	NUM
ijassa-727	317	20	1	1	NUM
ijassa-727	317	21	11	11	NUM
ijassa-727	317	22	2	2	NUM
ijassa-727	317	23	1	1	NUM
ijassa-727	317	24	1	1	NUM
ijassa-727	317	25			PROPN
ijassa-727	317	26	dfe	dfe	PROPN
ijassa-727	317	27	nmm	nmm	NOUN
ijassa-727	317	28			PUNCT
ijassa-727	317	29			PROPN
ijassa-727	317	30			ADV
ijassa-727	317	31			PRON
ijassa-727	317	32	c	c	NOUN
ijassa-727	317	33	)	)	PUNCT
ijassa-727	317	34	,	,	PUNCT
ijassa-727	317	35	]	]	PUNCT
ijassa-727	317	36	)	)	PUNCT
ijassa-727	318	1	[	[	NOUN
ijassa-727	318	2	)	)	PUNCT
ijassa-727	318	3	)	)	PUNCT
ijassa-727	318	4	1(	1(	NUM
ijassa-727	318	5	...	...	PUNCT
ijassa-727	318	6	,),1	,),1	PUNCT
ijassa-727	318	7	(	(	PUNCT
ijassa-727	318	8	)	)	PUNCT
ijassa-727	318	9	,	,	PUNCT
ijassa-727	318	10	(	(	PUNCT
ijassa-727	318	11	)	)	PUNCT
ijassa-727	318	12	,	,	PUNCT
ijassa-727	318	13	...	...	PUNCT
ijassa-727	318	14	,	,	PUNCT
ijassa-727	318	15	(	(	PUNCT
ijassa-727	318	16	)	)	PUNCT
ijassa-727	318	17	,	,	PUNCT
ijassa-727	318	18	(	(	PUNCT
ijassa-727	318	19	(	(	PUNCT
ijassa-727	318	20	(	(	PUNCT
ijassa-727	318	21	]	]	X
ijassa-727	318	22	[	[	PUNCT
ijassa-727	318	23	1	1	NUM
ijassa-727	318	24	0	0	NUM
ijassa-727	318	25	211	211	NUM
ijassa-727	318	26	1	1	NUM
ijassa-727	318	27	11	11	NUM
ijassa-727	318	28	2	2	NUM
ijassa-727	318	29	1	1	NUM
ijassa-727	318	30	1	1	NUM
ijassa-727	318	31			NOUN
ijassa-727	318	32	defv	defv	NOUN
ijassa-727	318	33	nmm	nmm	NOUN
ijassa-727	318	34			PROPN
ijassa-727	318	35			PROPN
ijassa-727	318	36			ADV
ijassa-727	318	37			NUM
ijassa-727	318	38	d	d	NOUN
ijassa-727	318	39	)	)	PUNCT
ijassa-727	318	40	for	for	ADP
ijassa-727	318	41	any	any	DET
ijassa-727	318	42			NOUN
ijassa-727	318	43			NOUN
ijassa-727	319	1	[	[	X
ijassa-727	319	2	0	0	NUM
ijassa-727	319	3	,	,	PUNCT
ijassa-727	319	4	1	1	NUM
ijassa-727	319	5	]	]	X
ijassa-727	319	6	m{f(ξ1	m{f(ξ1	NUM
ijassa-727	319	7	,	,	PUNCT
ijassa-727	319	8	ξ2	ξ2	NOUN
ijassa-727	319	9	,	,	PUNCT
ijassa-727	319	10	…	…	PUNCT
ijassa-727	319	11	,	,	PUNCT
ijassa-727	319	12	ξn	ξn	NOUN
ijassa-727	319	13	)	)	PUNCT
ijassa-727	319	14	<	<	X
ijassa-727	319	15	0	0	NUM
ijassa-727	319	16	}	}	PUNCT
ijassa-727	319	17	>	>	X
ijassa-727	319	18	α	α	PRON
ijassa-727	319	19	is	be	AUX
ijassa-727	319	20	equivalent	equivalent	ADJ
ijassa-727	319	21	.0))1(),	.0))1(),	PUNCT
ijassa-727	319	22	...	...	PUNCT
ijassa-727	319	23	,1	,1	PROPN
ijassa-727	319	24	(	(	PUNCT
ijassa-727	319	25	)	)	PUNCT
ijassa-727	319	26	,	,	PUNCT
ijassa-727	319	27	(	(	PUNCT
ijassa-727	319	28	)	)	PUNCT
ijassa-727	319	29	,	,	PUNCT
ijassa-727	319	30	...	...	PUNCT
ijassa-727	319	31	,	,	PUNCT
ijassa-727	319	32	(	(	PUNCT
ijassa-727	319	33	)	)	PUNCT
ijassa-727	319	34	,	,	PUNCT
ijassa-727	319	35	(	(	PUNCT
ijassa-727	319	36	(	(	PUNCT
ijassa-727	319	37	11	11	NUM
ijassa-727	319	38	1	1	NUM
ijassa-727	319	39	11	11	NUM
ijassa-727	319	40	2	2	NUM
ijassa-727	319	41	1	1	NUM
ijassa-727	319	42	1	1	NUM
ijassa-727	319	43			PROPN
ijassa-727	319	44			PROPN
ijassa-727	319	45			ADV
ijassa-727	319	46			X
ijassa-727	319	47			X
ijassa-727	319	48	nmmf	nmmf	ADJ
ijassa-727	319	49	definition	definition	NOUN
ijassa-727	319	50	9	9	NUM
ijassa-727	319	51	:	:	PUNCT
ijassa-727	319	52	a	a	X
ijassa-727	319	53	)	)	PUNCT
ijassa-727	319	54	the	the	DET
ijassa-727	319	55	quantiles	quantile	NOUN
ijassa-727	319	56	of	of	ADP
ijassa-727	319	57	the	the	DET
ijassa-727	319	58	random	random	ADJ
ijassa-727	319	59	variable	variable	NOUN
ijassa-727	319	60	ξ	ξ	NOUN
ijassa-727	319	61	:	:	PUNCT
ijassa-727	319	62	supα[ξ	supα[ξ	X
ijassa-727	319	63	]	]	PUNCT
ijassa-727	320	1	=	=	SYM
ijassa-727	320	2	sup{r	sup{r	NOUN
ijassa-727	320	3	|	|	ADV
ijassa-727	320	4	pr	pr	X
ijassa-727	320	5	{	{	PUNCT
ijassa-727	320	6	ξ	ξ	X
ijassa-727	320	7	>	>	X
ijassa-727	320	8	r	r	NOUN
ijassa-727	320	9	}	}	PUNCT
ijassa-727	320	10	>	>	X
ijassa-727	320	11	α	α	X
ijassa-727	320	12	}	}	PUNCT
ijassa-727	320	13	–	–	PUNCT
ijassa-727	320	14	α	α	NOUN
ijassa-727	320	15	-	-	ADJ
ijassa-727	320	16	optimistic	optimistic	ADJ
ijassa-727	320	17	value	value	NOUN
ijassa-727	320	18	,	,	PUNCT
ijassa-727	320	19	infα[ξ	infα[ξ	VERB
ijassa-727	320	20	]	]	PUNCT
ijassa-727	320	21	=	=	SYM
ijassa-727	320	22	inf{r	inf{r	NOUN
ijassa-727	320	23	|	|	ADV
ijassa-727	320	24	pr	pr	X
ijassa-727	320	25	{	{	PUNCT
ijassa-727	320	26	ξ	ξ	X
ijassa-727	320	27	<	<	X
ijassa-727	320	28	r	r	X
ijassa-727	320	29	}	}	PUNCT
ijassa-727	320	30	>	>	X
ijassa-727	320	31	α	α	X
ijassa-727	320	32	}	}	PUNCT
ijassa-727	320	33	–	–	PUNCT
ijassa-727	320	34	α	α	NUM
ijassa-727	320	35	-	-	PUNCT
ijassa-727	320	36	pessimistic	pessimistic	ADJ
ijassa-727	320	37	value	value	NOUN
ijassa-727	320	38	,	,	PUNCT
ijassa-727	320	39			PUNCT
ijassa-727	320	40			NOUN
ijassa-727	320	41	[	[	X
ijassa-727	320	42	0	0	NUM
ijassa-727	320	43	,	,	PUNCT
ijassa-727	320	44	1	1	NUM
ijassa-727	320	45	]	]	PUNCT
ijassa-727	320	46	,	,	PUNCT
ijassa-727	320	47	b	b	X
ijassa-727	320	48	)	)	PUNCT
ijassa-727	320	49	the	the	DET
ijassa-727	320	50	quantiles	quantile	NOUN
ijassa-727	320	51	of	of	ADP
ijassa-727	320	52	the	the	DET
ijassa-727	320	53	uncertain	uncertain	ADJ
ijassa-727	320	54	variable	variable	ADJ
ijassa-727	320	55	ξ	ξ	NOUN
ijassa-727	320	56	:	:	PUNCT
ijassa-727	320	57	supα[ξ	supα[ξ	X
ijassa-727	320	58	]	]	PUNCT
ijassa-727	320	59	=	=	SYM
ijassa-727	321	1	sup{r	sup{r	PROPN
ijassa-727	321	2	|	|	ADV
ijassa-727	321	3	m	m	VERB
ijassa-727	321	4	{	{	PUNCT
ijassa-727	321	5	ξ	ξ	X
ijassa-727	321	6	>	>	X
ijassa-727	321	7	r	r	NOUN
ijassa-727	321	8	}	}	PUNCT
ijassa-727	321	9	>	>	X
ijassa-727	321	10	α	α	X
ijassa-727	321	11	}	}	PUNCT
ijassa-727	321	12	–	–	PUNCT
ijassa-727	321	13	α	α	NOUN
ijassa-727	321	14	-	-	ADJ
ijassa-727	321	15	optimistic	optimistic	ADJ
ijassa-727	321	16	value	value	NOUN
ijassa-727	321	17	,	,	PUNCT
ijassa-727	321	18	infα[ξ	infα[ξ	VERB
ijassa-727	321	19	]	]	PUNCT
ijassa-727	321	20	=	=	SYM
ijassa-727	321	21	inf{r	inf{r	NOUN
ijassa-727	321	22	|	|	ADV
ijassa-727	321	23	m	m	VERB
ijassa-727	321	24	{	{	PUNCT
ijassa-727	321	25	ξ	ξ	X
ijassa-727	321	26	<	<	X
ijassa-727	321	27	r	r	X
ijassa-727	321	28	}	}	PUNCT
ijassa-727	321	29	>	>	X
ijassa-727	321	30	α	α	X
ijassa-727	321	31	}	}	PUNCT
ijassa-727	321	32	–	–	PUNCT
ijassa-727	321	33	α	α	NUM
ijassa-727	321	34	-	-	PUNCT
ijassa-727	321	35	pessimistic	pessimistic	ADJ
ijassa-727	321	36	value	value	NOUN
ijassa-727	321	37	,	,	PUNCT
ijassa-727	321	38			PUNCT
ijassa-727	321	39			NOUN
ijassa-727	321	40	[	[	X
ijassa-727	321	41	0	0	NUM
ijassa-727	321	42	,	,	PUNCT
ijassa-727	321	43	1	1	NUM
ijassa-727	321	44	]	]	PUNCT
ijassa-727	321	45	.	.	PUNCT
ijassa-727	322	1	definition	definition	NOUN
ijassa-727	322	2	10	10	NUM
ijassa-727	322	3	:	:	PUNCT
ijassa-727	322	4	let	let	VERB
ijassa-727	322	5	(	(	PUNCT
ijassa-727	322	6	ω	ω	PROPN
ijassa-727	322	7	,	,	PUNCT
ijassa-727	322	8	a	a	DET
ijassa-727	322	9	,	,	PUNCT
ijassa-727	322	10	pr	pr	NOUN
ijassa-727	322	11	)	)	PUNCT
ijassa-727	322	12	be	be	AUX
ijassa-727	322	13	a	a	DET
ijassa-727	322	14	probability	probability	NOUN
ijassa-727	322	15	space	space	NOUN
ijassa-727	322	16	and	and	CCONJ
ijassa-727	322	17	(	(	PUNCT
ijassa-727	322	18	γ	γ	X
ijassa-727	322	19	,	,	PUNCT
ijassa-727	322	20	λ	λ	PROPN
ijassa-727	322	21	,	,	PUNCT
ijassa-727	322	22	m	m	VERB
ijassa-727	322	23	)	)	PUNCT
ijassa-727	322	24	be	be	VERB
ijassa-727	322	25	an	an	DET
ijassa-727	322	26	uncertainty	uncertainty	NOUN
ijassa-727	322	27	space	space	NOUN
ijassa-727	322	28	.	.	PUNCT
ijassa-727	323	1	then	then	ADV
ijassa-727	323	2	the	the	DET
ijassa-727	323	3	product	product	NOUN
ijassa-727	323	4	(	(	PUNCT
ijassa-727	323	5	γ	γ	X
ijassa-727	323	6	×	×	PROPN
ijassa-727	323	7	ω	ω	PROPN
ijassa-727	323	8	,	,	PUNCT
ijassa-727	323	9	λ	λ	X
ijassa-727	323	10	×	×	NOUN
ijassa-727	323	11	a	a	PRON
ijassa-727	323	12	,	,	PUNCT
ijassa-727	323	13	m	m	PROPN
ijassa-727	323	14	×	×	NOUN
ijassa-727	323	15	pr	pr	NOUN
ijassa-727	323	16	)	)	PUNCT
ijassa-727	323	17	is	be	AUX
ijassa-727	323	18	called	call	VERB
ijassa-727	323	19	a	a	DET
ijassa-727	323	20	chance	chance	NOUN
ijassa-727	323	21	space	space	NOUN
ijassa-727	323	22	,	,	PUNCT
ijassa-727	323	23	where	where	SCONJ
ijassa-727	323	24	γ	γ	X
ijassa-727	323	25	×	×	PROPN
ijassa-727	323	26	ω	ω	NUM
ijassa-727	323	27	=	=	SYM
ijassa-727	323	28	{	{	PUNCT
ijassa-727	323	29	(	(	PUNCT
ijassa-727	323	30	γ	γ	X
ijassa-727	323	31	,	,	PUNCT
ijassa-727	323	32	ω)|	ω)|	ADV
ijassa-727	323	33	γ	γ	PROPN
ijassa-727	323	34	∈	∈	PROPN
ijassa-727	323	35	γ	γ	X
ijassa-727	323	36	,	,	PUNCT
ijassa-727	323	37	ω	ω	PROPN
ijassa-727	323	38	∈	∈	PROPN
ijassa-727	323	39	ω	ω	PROPN
ijassa-727	323	40	}	}	PUNCT
ijassa-727	323	41	.	.	PUNCT
ijassa-727	324	1	then	then	ADV
ijassa-727	324	2	the	the	DET
ijassa-727	324	3	chance	chance	NOUN
ijassa-727	324	4	measure	measure	NOUN
ijassa-727	324	5	of	of	ADP
ijassa-727	324	6	an	an	DET
ijassa-727	324	7	event	event	NOUN
ijassa-727	324	8	θ	θ	PROPN
ijassa-727	324	9	of	of	ADP
ijassa-727	324	10	λ	λ	PROPN
ijassa-727	324	11	×	×	PROPN
ijassa-727	324	12	a	a	PRON
ijassa-727	324	13	is	be	AUX
ijassa-727	324	14	:	:	PUNCT
ijassa-727	324	15	22	22	NUM
ijassa-727	324	16	g.s	g.s	PROPN
ijassa-727	324	17	.	.	PROPN
ijassa-727	324	18	veresnikov	veresnikov	PROPN
ijassa-727	324	19	,	,	PUNCT
ijassa-727	324	20	l.a	l.a	PROPN
ijassa-727	324	21	.	.	PROPN
ijassa-727	324	22	pankova	pankova	PROPN
ijassa-727	324	23	,	,	PUNCT
ijassa-727	325	1	v.a	v.a	PROPN
ijassa-727	325	2	.	.	PROPN
ijassa-727	325	3	pronina	pronina	PROPN
ijassa-727	325	4	copyright	copyright	NOUN
ijassa-727	325	5	©	©	PROPN
ijassa-727	325	6	2019	2019	NUM
ijassa-727	325	7	assa	assa	PROPN
ijassa-727	325	8	adv	adv	PROPN
ijassa-727	325	9	.	.	PUNCT
ijassa-727	326	1	in	in	ADP
ijassa-727	326	2	systems	system	NOUN
ijassa-727	326	3	science	science	NOUN
ijassa-727	326	4	and	and	CCONJ
ijassa-727	326	5	appl	appl	NOUN
ijassa-727	326	6	.	.	PUNCT
ijassa-727	327	1	(	(	PUNCT
ijassa-727	327	2	2019	2019	NUM
ijassa-727	327	3	)	)	PUNCT
ijassa-727	327	4	x}dxθ}γ|(γ	x}dxθ}γ|(γ	PROPN
ijassa-727	327	5	,	,	PUNCT
ijassa-727	327	6	ω)ω|m{γ{ω}сh{θ	ω)ω|m{γ{ω}сh{θ	PROPN
ijassa-727	327	7			NUM
ijassa-727	327	8			ADP
ijassa-727	327	9	1	1	NUM
ijassa-727	327	10	0	0	NUM
ijassa-727	327	11	pr	pr	NOUN
ijassa-727	327	12	.	.	PUNCT
ijassa-727	328	1	m{γ	m{γ	PROPN
ijassa-727	328	2	∈	∈	PROPN
ijassa-727	328	3	γ	γ	X
ijassa-727	328	4	|(γ	|(γ	PROPN
ijassa-727	328	5	,	,	PUNCT
ijassa-727	328	6	ω	ω	NUM
ijassa-727	328	7	)	)	PUNCT
ijassa-727	328	8	∈	∈	PROPN
ijassa-727	328	9	θ	θ	PROPN
ijassa-727	328	10	}	}	PUNCT
ijassa-727	328	11	is	be	AUX
ijassa-727	328	12	just	just	ADV
ijassa-727	328	13	the	the	DET
ijassa-727	328	14	uncertain	uncertain	ADJ
ijassa-727	328	15	measure	measure	NOUN
ijassa-727	328	16	of	of	ADP
ijassa-727	328	17	cross	cross	NOUN
ijassa-727	328	18	section	section	NOUN
ijassa-727	328	19	of	of	ADP
ijassa-727	328	20	θ	θ	PROPN
ijassa-727	328	21	at	at	ADP
ijassa-727	328	22	ω	ω	PROPN
ijassa-727	328	23	.	.	PUNCT
ijassa-727	329	1	since	since	SCONJ
ijassa-727	329	2	m{γ	m{γ	PROPN
ijassa-727	329	3	∈	∈	PROPN
ijassa-727	329	4	γ	γ	X
ijassa-727	329	5	|(γ	|(γ	PROPN
ijassa-727	329	6	,	,	PUNCT
ijassa-727	329	7	ω	ω	NUM
ijassa-727	329	8	)	)	PUNCT
ijassa-727	329	9	∈	∈	PROPN
ijassa-727	329	10	θ	θ	PROPN
ijassa-727	329	11	}	}	PUNCT
ijassa-727	329	12	can	can	AUX
ijassa-727	329	13	be	be	AUX
ijassa-727	329	14	regarded	regard	VERB
ijassa-727	329	15	as	as	ADP
ijassa-727	329	16	a	a	DET
ijassa-727	329	17	function	function	NOUN
ijassa-727	329	18	from	from	ADP
ijassa-727	329	19	the	the	DET
ijassa-727	329	20	probability	probability	NOUN
ijassa-727	329	21	space	space	NOUN
ijassa-727	329	22	(	(	PUNCT
ijassa-727	329	23	ω	ω	NOUN
ijassa-727	329	24	,	,	PUNCT
ijassa-727	329	25	a	a	PRON
ijassa-727	329	26	,	,	PUNCT
ijassa-727	329	27	pr	pr	NOUN
ijassa-727	329	28	)	)	PUNCT
ijassa-727	329	29	to	to	ADP
ijassa-727	329	30	[	[	X
ijassa-727	329	31	0	0	NUM
ijassa-727	329	32	,	,	PUNCT
ijassa-727	329	33	1	1	NUM
ijassa-727	329	34	]	]	PUNCT
ijassa-727	329	35	,	,	PUNCT
ijassa-727	329	36	it	it	PRON
ijassa-727	329	37	is	be	AUX
ijassa-727	329	38	a	a	DET
ijassa-727	329	39	random	random	ADJ
ijassa-727	329	40	variable	variable	NOUN
ijassa-727	329	41	.	.	PUNCT
ijassa-727	330	1	thus	thus	ADV
ijassa-727	330	2	the	the	DET
ijassa-727	330	3	chance	chance	NOUN
ijassa-727	330	4	measure	measure	NOUN
ijassa-727	330	5	ch{θ	ch{θ	PROPN
ijassa-727	330	6	}	}	PUNCT
ijassa-727	330	7	is	be	AUX
ijassa-727	330	8	just	just	ADV
ijassa-727	330	9	the	the	DET
ijassa-727	330	10	expected	expect	VERB
ijassa-727	330	11	value	value	NOUN
ijassa-727	330	12	(	(	PUNCT
ijassa-727	330	13	i.e.	i.e.	X
ijassa-727	330	14	,	,	PUNCT
ijassa-727	330	15	average	average	ADJ
ijassa-727	330	16	value	value	NOUN
ijassa-727	330	17	)	)	PUNCT
ijassa-727	330	18	of	of	ADP
ijassa-727	330	19	this	this	DET
ijassa-727	330	20	random	random	ADJ
ijassa-727	330	21	variable	variable	NOUN
ijassa-727	330	22	.	.	PUNCT
ijassa-727	331	1	the	the	DET
ijassa-727	331	2	chance	chance	NOUN
ijassa-727	331	3	-	-	PUNCT
ijassa-727	331	4	measure	measure	NOUN
ijassa-727	331	5	is	be	AUX
ijassa-727	331	6	monotonous	monotonous	ADJ
ijassa-727	331	7	,	,	PUNCT
ijassa-727	331	8	dual	dual	ADJ
ijassa-727	331	9	and	and	CCONJ
ijassa-727	331	10	subadditive	subadditive	ADJ
ijassa-727	331	11	.	.	PUNCT
ijassa-727	332	1	definition	definition	NOUN
ijassa-727	332	2	11	11	NUM
ijassa-727	332	3	:	:	PUNCT
ijassa-727	332	4	an	an	DET
ijassa-727	332	5	uncertain	uncertain	ADJ
ijassa-727	332	6	random	random	ADJ
ijassa-727	332	7	variable	variable	NOUN
ijassa-727	332	8	is	be	AUX
ijassa-727	332	9	a	a	DET
ijassa-727	332	10	function	function	NOUN
ijassa-727	332	11	ξ	ξ	PROPN
ijassa-727	332	12	from	from	ADP
ijassa-727	332	13	γ	γ	X
ijassa-727	332	14	×ω	×ω	NOUN
ijassa-727	332	15	to	to	ADP
ijassa-727	332	16	the	the	DET
ijassa-727	332	17	set	set	NOUN
ijassa-727	332	18	of	of	ADP
ijassa-727	332	19	real	real	ADJ
ijassa-727	332	20	numbers	number	NOUN
ijassa-727	332	21	such	such	ADJ
ijassa-727	332	22	that	that	SCONJ
ijassa-727	332	23	{	{	PUNCT
ijassa-727	332	24	(	(	PUNCT
ijassa-727	332	25	γ	γ	X
ijassa-727	332	26	,	,	PUNCT
ijassa-727	332	27	ω)|	ω)|	ADV
ijassa-727	332	28	γ	γ	PROPN
ijassa-727	332	29	∈	∈	PROPN
ijassa-727	332	30	γ	γ	X
ijassa-727	332	31	,	,	PUNCT
ijassa-727	332	32	ω	ω	PROPN
ijassa-727	332	33	∈	∈	PROPN
ijassa-727	332	34	ω	ω	PROPN
ijassa-727	332	35	|ξ	|ξ	PROPN
ijassa-727	332	36	(	(	PUNCT
ijassa-727	332	37	γ	γ	X
ijassa-727	332	38	,	,	PUNCT
ijassa-727	332	39	ω	ω	NOUN
ijassa-727	332	40	)	)	PUNCT
ijassa-727	332	41	∈	∈	PROPN
ijassa-727	332	42	b	b	X
ijassa-727	332	43	}	}	PUNCT
ijassa-727	332	44	is	be	AUX
ijassa-727	332	45	an	an	DET
ijassa-727	332	46	event	event	NOUN
ijassa-727	332	47	in	in	ADP
ijassa-727	332	48	l	l	PROPN
ijassa-727	332	49	×	×	NOUN
ijassa-727	332	50	a	a	PRON
ijassa-727	332	51	for	for	ADP
ijassa-727	332	52	any	any	DET
ijassa-727	332	53	borel	borel	NOUN
ijassa-727	332	54	set	set	VERB
ijassa-727	332	55	b	b	PROPN
ijassa-727	332	56	of	of	ADP
ijassa-727	332	57	real	real	ADJ
ijassa-727	332	58	numbers	number	NOUN
ijassa-727	332	59	.	.	PUNCT
ijassa-727	333	1	definition	definition	NOUN
ijassa-727	333	2	12	12	NUM
ijassa-727	333	3	:	:	PUNCT
ijassa-727	333	4	let	let	VERB
ijassa-727	333	5	ξ	ξ	X
ijassa-727	333	6	be	be	AUX
ijassa-727	333	7	an	an	DET
ijassa-727	333	8	uncertain	uncertain	ADJ
ijassa-727	333	9	-	-	PUNCT
ijassa-727	333	10	random	random	ADJ
ijassa-727	333	11	variable	variable	NOUN
ijassa-727	333	12	.	.	PUNCT
ijassa-727	334	1	then	then	ADV
ijassa-727	334	2	its	its	PRON
ijassa-727	334	3	chance	chance	NOUN
ijassa-727	334	4	distribution	distribution	NOUN
ijassa-727	334	5	is	be	AUX
ijassa-727	334	6	defined	define	VERB
ijassa-727	334	7	by	by	ADP
ijassa-727	334	8	φ(x	φ(x	NOUN
ijassa-727	334	9	)	)	PUNCT
ijassa-727	334	10	=	=	SYM
ijassa-727	334	11	ch{ξ	ch{ξ	NOUN
ijassa-727	334	12	≤	≤	NUM
ijassa-727	334	13	x	x	X
ijassa-727	334	14	}	}	PUNCT
ijassa-727	334	15	for	for	ADP
ijassa-727	334	16	any	any	DET
ijassa-727	334	17	real	real	ADJ
ijassa-727	334	18	x.	x.	NOUN
ijassa-727	334	19	definition	definition	NOUN
ijassa-727	334	20	13	13	NUM
ijassa-727	334	21	:	:	PUNCT
ijassa-727	334	22	the	the	DET
ijassa-727	334	23	expected	expect	VERB
ijassa-727	334	24	value	value	NOUN
ijassa-727	334	25	of	of	ADP
ijassa-727	334	26	uncertain	uncertain	ADJ
ijassa-727	334	27	-	-	PUNCT
ijassa-727	334	28	random	random	ADJ
ijassa-727	334	29	variable	variable	NOUN
ijassa-727	334	30	ξ	ξ	PROPN
ijassa-727	334	31	is	be	AUX
ijassa-727	334	32	:	:	PUNCT
ijassa-727	334	33			ADJ
ijassa-727	334	34			PROPN
ijassa-727	335	1			ADJ
ijassa-727	335	2			PROPN
ijassa-727	335	3	0	0	NUM
ijassa-727	335	4	0	0	NUM
ijassa-727	336	1	]	]	X
ijassa-727	336	2	[	[	PUNCT
ijassa-727	336	3	x}dxch{dxx}ch{e	x}dxch{dxx}ch{e	X
ijassa-727	336	4			PROPN
ijassa-727	336	5	provided	provide	VERB
ijassa-727	336	6	that	that	SCONJ
ijassa-727	336	7	at	at	ADV
ijassa-727	336	8	least	least	ADJ
ijassa-727	336	9	one	one	NUM
ijassa-727	336	10	of	of	ADP
ijassa-727	336	11	the	the	DET
ijassa-727	336	12	two	two	NUM
ijassa-727	336	13	integrals	integral	NOUN
ijassa-727	336	14	is	be	AUX
ijassa-727	336	15	finite	finite	ADJ
ijassa-727	336	16	.	.	PUNCT
ijassa-727	337	1	theorem	theorem	ADJ
ijassa-727	337	2	3	3	NUM
ijassa-727	337	3	:	:	PUNCT
ijassa-727	337	4	let	let	VERB
ijassa-727	337	5	η1	η1	NOUN
ijassa-727	337	6	,	,	PUNCT
ijassa-727	337	7	η2	η2	NOUN
ijassa-727	337	8	,	,	PUNCT
ijassa-727	337	9	…	…	PUNCT
ijassa-727	337	10	,	,	PUNCT
ijassa-727	337	11	ηm	ηm	PROPN
ijassa-727	337	12	be	be	AUX
ijassa-727	337	13	independent	independent	ADJ
ijassa-727	337	14	random	random	ADJ
ijassa-727	337	15	variables	variable	NOUN
ijassa-727	337	16	with	with	ADP
ijassa-727	337	17	probability	probability	NOUN
ijassa-727	337	18	distributions	distribution	NOUN
ijassa-727	337	19	ψ1	ψ1	NOUN
ijassa-727	337	20	,	,	PUNCT
ijassa-727	337	21	ψ2	ψ2	NOUN
ijassa-727	337	22	,	,	PUNCT
ijassa-727	337	23	…	…	PUNCT
ijassa-727	337	24	,	,	PUNCT
ijassa-727	337	25	ψm	ψm	PROPN
ijassa-727	337	26	,	,	PUNCT
ijassa-727	337	27	and	and	CCONJ
ijassa-727	337	28	let	let	VERB
ijassa-727	337	29	τ1	τ1	NOUN
ijassa-727	337	30	,	,	PUNCT
ijassa-727	337	31	τ2	τ2	PROPN
ijassa-727	337	32	,	,	PUNCT
ijassa-727	337	33	…	…	PUNCT
ijassa-727	337	34	,	,	PUNCT
ijassa-727	337	35	τn	τn	PART
ijassa-727	337	36	be	be	AUX
ijassa-727	337	37	independent	independent	ADJ
ijassa-727	337	38	uncertain	uncertain	ADJ
ijassa-727	337	39	variables	variable	NOUN
ijassa-727	337	40	with	with	ADP
ijassa-727	337	41	uncertainty	uncertainty	NOUN
ijassa-727	337	42	distributions	distribution	NOUN
ijassa-727	337	43	y1	y1	NOUN
ijassa-727	337	44	,	,	PUNCT
ijassa-727	337	45	y2	y2	PROPN
ijassa-727	337	46	,	,	PUNCT
ijassa-727	337	47	…	…	PUNCT
ijassa-727	337	48	,	,	PUNCT
ijassa-727	337	49	yn	yn	PROPN
ijassa-727	337	50	,	,	PUNCT
ijassa-727	337	51	respectively	respectively	ADV
ijassa-727	337	52	.	.	PUNCT
ijassa-727	338	1	if	if	SCONJ
ijassa-727	338	2	f(η1	f(η1	PROPN
ijassa-727	338	3	,	,	PUNCT
ijassa-727	338	4	η2	η2	PROPN
ijassa-727	338	5	,	,	PUNCT
ijassa-727	338	6	…	…	PUNCT
ijassa-727	338	7	,	,	PUNCT
ijassa-727	338	8	ηm	ηm	PROPN
ijassa-727	338	9	,	,	PUNCT
ijassa-727	338	10	τ1	τ1	NOUN
ijassa-727	338	11	,	,	PUNCT
ijassa-727	338	12	τ2	τ2	PROPN
ijassa-727	338	13	,	,	PUNCT
ijassa-727	338	14	…	…	PUNCT
ijassa-727	338	15	,	,	PUNCT
ijassa-727	338	16	τn	τn	NOUN
ijassa-727	338	17	)	)	PUNCT
ijassa-727	338	18	is	be	AUX
ijassa-727	338	19	a	a	DET
ijassa-727	338	20	measurable	measurable	ADJ
ijassa-727	338	21	function	function	NOUN
ijassa-727	338	22	,	,	PUNCT
ijassa-727	338	23	then	then	ADV
ijassa-727	338	24	has	have	VERB
ijassa-727	338	25	an	an	DET
ijassa-727	338	26	expected	expect	VERB
ijassa-727	338	27	value	value	NOUN
ijassa-727	338	28	e[ξ	e[ξ	NOUN
ijassa-727	338	29	]	]	PUNCT
ijassa-727	338	30	is	be	AUX
ijassa-727	338	31	:	:	PUNCT
ijassa-727	338	32	)	)	PUNCT
ijassa-727	338	33	(	(	PUNCT
ijassa-727	338	34	y)	y)	NUM
ijassa-727	338	35	...	...	PUNCT
ijassa-727	338	36	dψ(ydψyyg),	dψ(ydψyyg),	NOUN
ijassa-727	338	37	...	...	PUNCT
ijassa-727	338	38	,τ	,τ	PUNCT
ijassa-727	338	39	,	,	PUNCT
ijassa-727	338	40	τ	τ	X
ijassa-727	338	41	,	,	PUNCT
ijassa-727	338	42	...	...	PUNCT
ijassa-727	338	43	,	,	PUNCT
ijassa-727	338	44	ηf(ηe	ηf(ηe	PROPN
ijassa-727	338	45	mmm	mmm	INTJ
ijassa-727	338	46	mr	mr	PROPN
ijassa-727	338	47	nm	nm	PROPN
ijassa-727	338	48	11111	11111	NUM
ijassa-727	338	49	)	)	PUNCT
ijassa-727	338	50	,	,	PUNCT
ijassa-727	338	51	...	...	PUNCT
ijassa-727	338	52	,	,	PUNCT
ijassa-727	338	53	(	(	PUNCT
ijassa-727	338	54	]	]	X
ijassa-727	338	55	[	[	PUNCT
ijassa-727	338	56			NOUN
ijassa-727	338	57	,	,	PUNCT
ijassa-727	338	58	where	where	SCONJ
ijassa-727	338	59	)	)	PUNCT
ijassa-727	338	60	]	]	PUNCT
ijassa-727	338	61	,	,	PUNCT
ijassa-727	338	62	...	...	PUNCT
ijassa-727	338	63	,	,	PUNCT
ijassa-727	338	64	,	,	PUNCT
ijassa-727	338	65	,	,	PUNCT
ijassa-727	338	66	...	...	PUNCT
ijassa-727	338	67	,	,	PUNCT
ijassa-727	338	68	(	(	PUNCT
ijassa-727	338	69	[	[	X
ijassa-727	338	70	)	)	PUNCT
ijassa-727	338	71	111	111	NUM
ijassa-727	338	72	nmm	nmm	PROPN
ijassa-727	338	73	yyfe	yyfe	NOUN
ijassa-727	338	74	,	,	PUNCT
ijassa-727	338	75	...	...	PUNCT
ijassa-727	338	76	,	,	PUNCT
ijassa-727	338	77	yg(y	yg(y	DET
ijassa-727	338	78			NOUN
ijassa-727	339	1	−	−	NOUN
ijassa-727	339	2	is	be	AUX
ijassa-727	339	3	the	the	DET
ijassa-727	339	4	expected	expect	VERB
ijassa-727	339	5	value	value	NOUN
ijassa-727	339	6	of	of	ADP
ijassa-727	339	7	the	the	DET
ijassa-727	339	8	uncertain	uncertain	ADJ
ijassa-727	339	9	variable	variable	NOUN
ijassa-727	339	10	)	)	PUNCT
ijassa-727	339	11	,	,	PUNCT
ijassa-727	339	12	...	...	PUNCT
ijassa-727	339	13	,	,	PUNCT
ijassa-727	339	14	,	,	PUNCT
ijassa-727	339	15	,	,	PUNCT
ijassa-727	339	16	...	...	PUNCT
ijassa-727	339	17	,	,	PUNCT
ijassa-727	339	18	(	(	PUNCT
ijassa-727	339	19	11	11	NUM
ijassa-727	339	20	nmyyf	nmyyf	NOUN
ijassa-727	339	21			NOUN
ijassa-727	339	22	for	for	ADP
ijassa-727	339	23	any	any	DET
ijassa-727	339	24	real	real	ADJ
ijassa-727	339	25	numbers	number	NOUN
ijassa-727	339	26	,	,	PUNCT
ijassa-727	339	27	,	,	PUNCT
ijassa-727	339	28	...	...	PUNCT
ijassa-727	339	29	,	,	PUNCT
ijassa-727	339	30	1	1	NUM
ijassa-727	339	31	myy	myy	NOUN
ijassa-727	339	32	and	and	CCONJ
ijassa-727	339	33	is	be	AUX
ijassa-727	339	34	determined	determine	VERB
ijassa-727	339	35	by	by	ADP
ijassa-727	339	36	y1	y1	NOUN
ijassa-727	339	37	,	,	PUNCT
ijassa-727	339	38	y2	y2	PROPN
ijassa-727	339	39	,	,	PUNCT
ijassa-727	339	40	…	…	PUNCT
ijassa-727	339	41	,	,	PUNCT
ijassa-727	339	42	yn	yn	PROPN
ijassa-727	339	43	.	.	PUNCT