id	sid	tid	token	lemma	pos
ijassa-2030	1	1	microsoft	microsoft	PROPN
ijassa-2030	1	2	word	word	NOUN
ijassa-2030	1	3	molostvov-3	molostvov-3	PROPN
ijassa-2030	1	4	adv	adv	PROPN
ijassa-2030	1	5	syst	syst	PROPN
ijassa-2030	1	6	sci	sci	PROPN
ijassa-2030	1	7	appl	appl	PROPN
ijassa-2030	1	8	2025	2025	NUM
ijassa-2030	1	9	;	;	PUNCT
ijassa-2030	1	10	1	1	NUM
ijassa-2030	1	11	;	;	PUNCT
ijassa-2030	1	12	1	1	NUM
ijassa-2030	1	13	-	-	SYM
ijassa-2030	1	14	11	11	NUM
ijassa-2030	1	15	published	publish	VERB
ijassa-2030	1	16	online	online	ADV
ijassa-2030	1	17	at	at	ADP
ijassa-2030	1	18	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-2030	1	19	.	.	PUNCT
ijassa-2030	2	1	optimization	optimization	NOUN
ijassa-2030	2	2	of	of	ADP
ijassa-2030	2	3	multi	multi	ADJ
ijassa-2030	2	4	-	-	ADJ
ijassa-2030	2	5	currency	currency	ADJ
ijassa-2030	2	6	deposit	deposit	NOUN
ijassa-2030	2	7	structure	structure	NOUN
ijassa-2030	2	8	by	by	ADP
ijassa-2030	2	9	two	two	NUM
ijassa-2030	2	10	indicators	indicator	NOUN
ijassa-2030	2	11	(	(	PUNCT
ijassa-2030	2	12	income	income	NOUN
ijassa-2030	2	13	and	and	CCONJ
ijassa-2030	2	14	risk	risk	NOUN
ijassa-2030	2	15	)	)	PUNCT
ijassa-2030	2	16	under	under	ADP
ijassa-2030	2	17	uncertainty	uncertainty	NOUN
ijassa-2030	2	18	vitaly	vitaly	PROPN
ijassa-2030	2	19	s.	s.	PROPN
ijassa-2030	2	20	molostvov	molostvov	PROPN
ijassa-2030	2	21	*	*	PROPN
ijassa-2030	2	22	international	international	ADJ
ijassa-2030	2	23	center	center	NOUN
ijassa-2030	2	24	of	of	ADP
ijassa-2030	2	25	decision	decision	NOUN
ijassa-2030	2	26	choice	choice	NOUN
ijassa-2030	2	27	and	and	CCONJ
ijassa-2030	2	28	analysis	analysis	NOUN
ijassa-2030	2	29	of	of	ADP
ijassa-2030	2	30	hse	hse	PROPN
ijassa-2030	2	31	university	university	PROPN
ijassa-2030	2	32	,	,	PUNCT
ijassa-2030	2	33	russia	russia	PROPN
ijassa-2030	2	34	,	,	PUNCT
ijassa-2030	2	35	moscow	moscow	PROPN
ijassa-2030	2	36	abstract	abstract	NOUN
ijassa-2030	2	37	.	.	PUNCT
ijassa-2030	3	1	a	a	DET
ijassa-2030	3	2	two	two	NUM
ijassa-2030	3	3	-	-	PUNCT
ijassa-2030	3	4	criteria	criterion	NOUN
ijassa-2030	3	5	vector	vector	NOUN
ijassa-2030	3	6	optimization	optimization	NOUN
ijassa-2030	3	7	problem	problem	NOUN
ijassa-2030	3	8	–	–	PUNCT
ijassa-2030	3	9	finding	find	VERB
ijassa-2030	3	10	pareto	pareto	VERB
ijassa-2030	3	11	-	-	PUNCT
ijassa-2030	3	12	optimal	optimal	ADJ
ijassa-2030	3	13	solutions	solution	NOUN
ijassa-2030	3	14	in	in	ADP
ijassa-2030	3	15	linear	linear	PROPN
ijassa-2030	3	16	systems	system	NOUN
ijassa-2030	3	17	with	with	ADP
ijassa-2030	3	18	interval	interval	NOUN
ijassa-2030	3	19	uncertainty	uncertainty	NOUN
ijassa-2030	3	20	of	of	ADP
ijassa-2030	3	21	coefficients	coefficient	NOUN
ijassa-2030	3	22	–	–	PUNCT
ijassa-2030	3	23	is	be	AUX
ijassa-2030	3	24	considered	consider	VERB
ijassa-2030	3	25	.	.	PUNCT
ijassa-2030	4	1	the	the	DET
ijassa-2030	4	2	problem	problem	NOUN
ijassa-2030	4	3	of	of	ADP
ijassa-2030	4	4	resource	resource	NOUN
ijassa-2030	4	5	allocation	allocation	NOUN
ijassa-2030	4	6	to	to	ADP
ijassa-2030	4	7	multiple	multiple	ADJ
ijassa-2030	4	8	activities	activity	NOUN
ijassa-2030	4	9	is	be	AUX
ijassa-2030	4	10	investigated	investigate	VERB
ijassa-2030	4	11	.	.	PUNCT
ijassa-2030	5	1	the	the	DET
ijassa-2030	5	2	uncertainty	uncertainty	NOUN
ijassa-2030	5	3	-	-	PUNCT
ijassa-2030	5	4	adjusted	adjust	VERB
ijassa-2030	5	5	income	income	NOUN
ijassa-2030	5	6	is	be	AUX
ijassa-2030	5	7	a	a	DET
ijassa-2030	5	8	bilinear	bilinear	NOUN
ijassa-2030	5	9	function	function	NOUN
ijassa-2030	5	10	,	,	PUNCT
ijassa-2030	5	11	linear	linear	ADJ
ijassa-2030	5	12	by	by	ADP
ijassa-2030	5	13	strategy	strategy	NOUN
ijassa-2030	5	14	under	under	ADP
ijassa-2030	5	15	fixed	fix	VERB
ijassa-2030	5	16	uncertainty	uncertainty	NOUN
ijassa-2030	5	17	and	and	CCONJ
ijassa-2030	5	18	by	by	ADP
ijassa-2030	5	19	uncertain	uncertain	ADJ
ijassa-2030	5	20	parameters	parameter	NOUN
ijassa-2030	5	21	under	under	ADP
ijassa-2030	5	22	fixed	fix	VERB
ijassa-2030	5	23	strategy	strategy	NOUN
ijassa-2030	5	24	.	.	PUNCT
ijassa-2030	6	1	guaranteed	guarantee	VERB
ijassa-2030	6	2	income	income	NOUN
ijassa-2030	6	3	is	be	AUX
ijassa-2030	6	4	a	a	DET
ijassa-2030	6	5	linear	linear	ADJ
ijassa-2030	6	6	function	function	NOUN
ijassa-2030	6	7	of	of	ADP
ijassa-2030	6	8	variables	variable	NOUN
ijassa-2030	6	9	and	and	CCONJ
ijassa-2030	6	10	guaranteed	guarantee	VERB
ijassa-2030	6	11	risk	risk	NOUN
ijassa-2030	6	12	is	be	AUX
ijassa-2030	6	13	a	a	DET
ijassa-2030	6	14	piecewise	piecewise	NOUN
ijassa-2030	6	15	linear	linear	NOUN
ijassa-2030	6	16	function	function	NOUN
ijassa-2030	6	17	.	.	PUNCT
ijassa-2030	7	1	finding	find	VERB
ijassa-2030	7	2	the	the	DET
ijassa-2030	7	3	optimal	optimal	ADJ
ijassa-2030	7	4	guaranteed	guarantee	VERB
ijassa-2030	7	5	risk	risk	NOUN
ijassa-2030	7	6	is	be	AUX
ijassa-2030	7	7	reduced	reduce	VERB
ijassa-2030	7	8	to	to	ADP
ijassa-2030	7	9	a	a	DET
ijassa-2030	7	10	linear	linear	ADJ
ijassa-2030	7	11	programming	programming	NOUN
ijassa-2030	7	12	problem	problem	NOUN
ijassa-2030	7	13	by	by	ADP
ijassa-2030	7	14	piecewise	piecewise	NOUN
ijassa-2030	7	15	linear	linear	ADJ
ijassa-2030	7	16	programming	programming	NOUN
ijassa-2030	7	17	methods	method	NOUN
ijassa-2030	7	18	.	.	PUNCT
ijassa-2030	8	1	to	to	PART
ijassa-2030	8	2	solve	solve	VERB
ijassa-2030	8	3	the	the	DET
ijassa-2030	8	4	two	two	NUM
ijassa-2030	8	5	-	-	PUNCT
ijassa-2030	8	6	criteria	criterion	NOUN
ijassa-2030	8	7	problem	problem	NOUN
ijassa-2030	8	8	of	of	ADP
ijassa-2030	8	9	the	the	DET
ijassa-2030	8	10	optimal	optimal	ADJ
ijassa-2030	8	11	allocation	allocation	NOUN
ijassa-2030	8	12	of	of	ADP
ijassa-2030	8	13	financial	financial	ADJ
ijassa-2030	8	14	resource	resource	NOUN
ijassa-2030	8	15	on	on	ADP
ijassa-2030	8	16	three	three	NUM
ijassa-2030	8	17	currency	currency	NOUN
ijassa-2030	8	18	deposits	deposit	NOUN
ijassa-2030	8	19	,	,	PUNCT
ijassa-2030	8	20	the	the	DET
ijassa-2030	8	21	parameterization	parameterization	NOUN
ijassa-2030	8	22	of	of	ADP
ijassa-2030	8	23	the	the	DET
ijassa-2030	8	24	pareto	pareto	NOUN
ijassa-2030	8	25	set	set	NOUN
ijassa-2030	8	26	by	by	ADP
ijassa-2030	8	27	the	the	DET
ijassa-2030	8	28	value	value	NOUN
ijassa-2030	8	29	of	of	ADP
ijassa-2030	8	30	the	the	DET
ijassa-2030	8	31	guaranteed	guarantee	VERB
ijassa-2030	8	32	income	income	NOUN
ijassa-2030	8	33	criterion	criterion	NOUN
ijassa-2030	8	34	is	be	AUX
ijassa-2030	8	35	applied	apply	VERB
ijassa-2030	8	36	.	.	PUNCT
ijassa-2030	9	1	thus	thus	ADV
ijassa-2030	9	2	,	,	PUNCT
ijassa-2030	9	3	the	the	DET
ijassa-2030	9	4	construction	construction	NOUN
ijassa-2030	9	5	of	of	ADP
ijassa-2030	9	6	a	a	DET
ijassa-2030	9	7	representative	representative	ADJ
ijassa-2030	9	8	subset	subset	NOUN
ijassa-2030	9	9	of	of	ADP
ijassa-2030	9	10	pareto	pareto	VERB
ijassa-2030	9	11	-	-	PUNCT
ijassa-2030	9	12	optimal	optimal	ADJ
ijassa-2030	9	13	solutions	solution	NOUN
ijassa-2030	9	14	is	be	AUX
ijassa-2030	9	15	reduced	reduce	VERB
ijassa-2030	9	16	to	to	ADP
ijassa-2030	9	17	solving	solve	VERB
ijassa-2030	9	18	a	a	DET
ijassa-2030	9	19	finite	finite	ADJ
ijassa-2030	9	20	number	number	NOUN
ijassa-2030	9	21	of	of	ADP
ijassa-2030	9	22	linear	linear	ADJ
ijassa-2030	9	23	programming	programming	NOUN
ijassa-2030	9	24	problems	problem	NOUN
ijassa-2030	9	25	.	.	PUNCT
ijassa-2030	10	1	the	the	DET
ijassa-2030	10	2	results	result	NOUN
ijassa-2030	10	3	can	can	AUX
ijassa-2030	10	4	be	be	AUX
ijassa-2030	10	5	used	use	VERB
ijassa-2030	10	6	in	in	ADP
ijassa-2030	10	7	analyzing	analyze	VERB
ijassa-2030	10	8	the	the	DET
ijassa-2030	10	9	problems	problem	NOUN
ijassa-2030	10	10	of	of	ADP
ijassa-2030	10	11	financial	financial	ADJ
ijassa-2030	10	12	management	management	NOUN
ijassa-2030	10	13	under	under	ADP
ijassa-2030	10	14	conditions	condition	NOUN
ijassa-2030	10	15	of	of	ADP
ijassa-2030	10	16	incomplete	incomplete	ADJ
ijassa-2030	10	17	information	information	NOUN
ijassa-2030	10	18	.	.	PUNCT
ijassa-2030	11	1	keywords	keyword	NOUN
ijassa-2030	11	2	:	:	PUNCT
ijassa-2030	11	3	deposit	deposit	NOUN
ijassa-2030	11	4	diversification	diversification	NOUN
ijassa-2030	11	5	,	,	PUNCT
ijassa-2030	11	6	bicriteria	bicriteria	PROPN
ijassa-2030	11	7	optimization	optimization	NOUN
ijassa-2030	11	8	,	,	PUNCT
ijassa-2030	11	9	incomplete	incomplete	ADJ
ijassa-2030	11	10	information	information	NOUN
ijassa-2030	11	11	,	,	PUNCT
ijassa-2030	11	12	minimax	minimax	NOUN
ijassa-2030	11	13	regret	regret	NOUN
ijassa-2030	11	14	solution	solution	NOUN
ijassa-2030	11	15	.	.	PUNCT
ijassa-2030	12	1	1	1	X
ijassa-2030	12	2	.	.	X
ijassa-2030	12	3	introduction	introduction	NOUN
ijassa-2030	12	4	decision	decision	NOUN
ijassa-2030	12	5	-	-	PUNCT
ijassa-2030	12	6	making	make	VERB
ijassa-2030	12	7	tasks	task	NOUN
ijassa-2030	12	8	in	in	ADP
ijassa-2030	12	9	most	most	ADJ
ijassa-2030	12	10	cases	case	NOUN
ijassa-2030	12	11	are	be	AUX
ijassa-2030	12	12	complicated	complicate	VERB
ijassa-2030	12	13	by	by	ADP
ijassa-2030	12	14	the	the	DET
ijassa-2030	12	15	factor	factor	NOUN
ijassa-2030	12	16	of	of	ADP
ijassa-2030	12	17	incomplete	incomplete	ADJ
ijassa-2030	12	18	information	information	NOUN
ijassa-2030	12	19	.	.	PUNCT
ijassa-2030	13	1	we	we	PRON
ijassa-2030	13	2	can	can	AUX
ijassa-2030	13	3	distinguish	distinguish	VERB
ijassa-2030	13	4	some	some	DET
ijassa-2030	13	5	typical	typical	ADJ
ijassa-2030	13	6	situations	situation	NOUN
ijassa-2030	13	7	by	by	ADP
ijassa-2030	13	8	the	the	DET
ijassa-2030	13	9	nature	nature	NOUN
ijassa-2030	13	10	of	of	ADP
ijassa-2030	13	11	information	information	NOUN
ijassa-2030	13	12	available	available	ADJ
ijassa-2030	13	13	to	to	ADP
ijassa-2030	13	14	the	the	DET
ijassa-2030	13	15	decision	decision	NOUN
ijassa-2030	13	16	maker	maker	NOUN
ijassa-2030	13	17	(	(	PUNCT
ijassa-2030	13	18	dm	dm	NOUN
ijassa-2030	13	19	)	)	PUNCT
ijassa-2030	13	20	or	or	CCONJ
ijassa-2030	13	21	to	to	ADP
ijassa-2030	13	22	the	the	DET
ijassa-2030	13	23	researcher	researcher	NOUN
ijassa-2030	13	24	of	of	ADP
ijassa-2030	13	25	the	the	DET
ijassa-2030	13	26	problem	problem	NOUN
ijassa-2030	13	27	,	,	PUNCT
ijassa-2030	13	28	the	the	DET
ijassa-2030	13	29	developer	developer	NOUN
ijassa-2030	13	30	of	of	ADP
ijassa-2030	13	31	appropriate	appropriate	ADJ
ijassa-2030	13	32	models	model	NOUN
ijassa-2030	13	33	.	.	PUNCT
ijassa-2030	14	1	a	a	DET
ijassa-2030	14	2	deterministic	deterministic	ADJ
ijassa-2030	14	3	version	version	NOUN
ijassa-2030	14	4	in	in	ADP
ijassa-2030	14	5	which	which	PRON
ijassa-2030	14	6	the	the	DET
ijassa-2030	14	7	values	value	NOUN
ijassa-2030	14	8	of	of	ADP
ijassa-2030	14	9	all	all	DET
ijassa-2030	14	10	model	model	NOUN
ijassa-2030	14	11	parameters	parameter	NOUN
ijassa-2030	14	12	are	be	AUX
ijassa-2030	14	13	known	know	VERB
ijassa-2030	14	14	completely	completely	ADV
ijassa-2030	14	15	and	and	CCONJ
ijassa-2030	14	16	accurately	accurately	ADV
ijassa-2030	14	17	.	.	PUNCT
ijassa-2030	15	1	a	a	DET
ijassa-2030	15	2	stochastic	stochastic	ADJ
ijassa-2030	15	3	variant	variant	NOUN
ijassa-2030	15	4	in	in	ADP
ijassa-2030	15	5	which	which	PRON
ijassa-2030	15	6	some	some	DET
ijassa-2030	15	7	parameters	parameter	NOUN
ijassa-2030	15	8	of	of	ADP
ijassa-2030	15	9	the	the	DET
ijassa-2030	15	10	model	model	NOUN
ijassa-2030	15	11	are	be	AUX
ijassa-2030	15	12	not	not	PART
ijassa-2030	15	13	known	know	VERB
ijassa-2030	15	14	exactly	exactly	ADV
ijassa-2030	15	15	,	,	PUNCT
ijassa-2030	15	16	but	but	CCONJ
ijassa-2030	15	17	the	the	DET
ijassa-2030	15	18	stochastic	stochastic	ADJ
ijassa-2030	15	19	characteristics	characteristic	NOUN
ijassa-2030	15	20	of	of	ADP
ijassa-2030	15	21	these	these	DET
ijassa-2030	15	22	non	non	ADJ
ijassa-2030	15	23	-	-	ADJ
ijassa-2030	15	24	deterministic	deterministic	ADJ
ijassa-2030	15	25	parameters	parameter	NOUN
ijassa-2030	15	26	are	be	AUX
ijassa-2030	15	27	specified	specify	VERB
ijassa-2030	15	28	.	.	PUNCT
ijassa-2030	16	1	a	a	DET
ijassa-2030	16	2	case	case	NOUN
ijassa-2030	16	3	of	of	ADP
ijassa-2030	16	4	substantial	substantial	ADJ
ijassa-2030	16	5	uncertainty	uncertainty	NOUN
ijassa-2030	16	6	,	,	PUNCT
ijassa-2030	16	7	when	when	SCONJ
ijassa-2030	16	8	neither	neither	CCONJ
ijassa-2030	16	9	exact	exact	ADJ
ijassa-2030	16	10	values	value	NOUN
ijassa-2030	16	11	nor	nor	CCONJ
ijassa-2030	16	12	any	any	DET
ijassa-2030	16	13	stochastic	stochastic	ADJ
ijassa-2030	16	14	characteristics	characteristic	NOUN
ijassa-2030	16	15	are	be	AUX
ijassa-2030	16	16	known	know	VERB
ijassa-2030	16	17	for	for	ADP
ijassa-2030	16	18	some	some	DET
ijassa-2030	16	19	model	model	NOUN
ijassa-2030	16	20	parameters	parameter	NOUN
ijassa-2030	16	21	.	.	PUNCT
ijassa-2030	17	1	in	in	ADP
ijassa-2030	17	2	this	this	DET
ijassa-2030	17	3	case	case	NOUN
ijassa-2030	17	4	,	,	PUNCT
ijassa-2030	17	5	the	the	DET
ijassa-2030	17	6	uncertain	uncertain	ADJ
ijassa-2030	17	7	parameters	parameter	NOUN
ijassa-2030	17	8	are	be	AUX
ijassa-2030	17	9	known	know	VERB
ijassa-2030	17	10	only	only	ADV
ijassa-2030	17	11	to	to	ADP
ijassa-2030	17	12	the	the	DET
ijassa-2030	17	13	precision	precision	NOUN
ijassa-2030	17	14	of	of	ADP
ijassa-2030	17	15	some	some	DET
ijassa-2030	17	16	known	know	VERB
ijassa-2030	17	17	set	set	NOUN
ijassa-2030	17	18	.	.	PUNCT
ijassa-2030	18	1	the	the	DET
ijassa-2030	18	2	first	first	ADJ
ijassa-2030	18	3	case	case	NOUN
ijassa-2030	18	4	is	be	AUX
ijassa-2030	18	5	most	most	ADV
ijassa-2030	18	6	fully	fully	ADV
ijassa-2030	18	7	developed	develop	VERB
ijassa-2030	18	8	both	both	PRON
ijassa-2030	18	9	in	in	ADP
ijassa-2030	18	10	theory	theory	NOUN
ijassa-2030	18	11	and	and	CCONJ
ijassa-2030	18	12	in	in	ADP
ijassa-2030	18	13	terms	term	NOUN
ijassa-2030	18	14	of	of	ADP
ijassa-2030	18	15	applications	application	NOUN
ijassa-2030	18	16	.	.	PUNCT
ijassa-2030	19	1	the	the	DET
ijassa-2030	19	2	stochastic	stochastic	ADJ
ijassa-2030	19	3	variant	variant	NOUN
ijassa-2030	19	4	in	in	ADP
ijassa-2030	19	5	optimization	optimization	NOUN
ijassa-2030	19	6	problems	problem	NOUN
ijassa-2030	19	7	is	be	AUX
ijassa-2030	19	8	usually	usually	ADV
ijassa-2030	19	9	reduced	reduce	VERB
ijassa-2030	19	10	to	to	ADP
ijassa-2030	19	11	the	the	DET
ijassa-2030	19	12	deterministic	deterministic	ADJ
ijassa-2030	19	13	case	case	NOUN
ijassa-2030	19	14	by	by	ADP
ijassa-2030	19	15	considering	consider	VERB
ijassa-2030	19	16	the	the	DET
ijassa-2030	19	17	corresponding	corresponding	ADJ
ijassa-2030	19	18	deterministic	deterministic	ADJ
ijassa-2030	19	19	problem	problem	NOUN
ijassa-2030	19	20	for	for	ADP
ijassa-2030	19	21	the	the	DET
ijassa-2030	19	22	mean	mean	ADJ
ijassa-2030	19	23	values	value	NOUN
ijassa-2030	19	24	and	and	CCONJ
ijassa-2030	19	25	variance	variance	NOUN
ijassa-2030	19	26	of	of	ADP
ijassa-2030	19	27	the	the	DET
ijassa-2030	19	28	optimized	optimize	VERB
ijassa-2030	19	29	indicators	indicator	NOUN
ijassa-2030	19	30	.	.	PUNCT
ijassa-2030	20	1	in	in	ADP
ijassa-2030	20	2	problems	problem	NOUN
ijassa-2030	20	3	with	with	ADP
ijassa-2030	20	4	substantial	substantial	ADJ
ijassa-2030	20	5	uncertainty	uncertainty	NOUN
ijassa-2030	20	6	,	,	PUNCT
ijassa-2030	20	7	the	the	DET
ijassa-2030	20	8	following	follow	VERB
ijassa-2030	20	9	situation	situation	NOUN
ijassa-2030	20	10	is	be	AUX
ijassa-2030	20	11	typical	typical	ADJ
ijassa-2030	20	12	:	:	PUNCT
ijassa-2030	20	13	only	only	ADV
ijassa-2030	20	14	the	the	DET
ijassa-2030	20	15	boundaries	boundary	NOUN
ijassa-2030	20	16	of	of	ADP
ijassa-2030	20	17	possible	possible	ADJ
ijassa-2030	20	18	values	value	NOUN
ijassa-2030	20	19	for	for	ADP
ijassa-2030	20	20	uncertain	uncertain	ADJ
ijassa-2030	20	21	parameters	parameter	NOUN
ijassa-2030	20	22	are	be	AUX
ijassa-2030	20	23	known	know	VERB
ijassa-2030	20	24	,	,	PUNCT
ijassa-2030	20	25	often	often	ADV
ijassa-2030	20	26	–	–	PUNCT
ijassa-2030	20	27	two	two	NUM
ijassa-2030	20	28	-	-	PUNCT
ijassa-2030	20	29	sided	sided	ADJ
ijassa-2030	20	30	ranges	range	NOUN
ijassa-2030	20	31	.	.	PUNCT
ijassa-2030	21	1	the	the	DET
ijassa-2030	21	2	principle	principle	NOUN
ijassa-2030	21	3	of	of	ADP
ijassa-2030	21	4	the	the	DET
ijassa-2030	21	5	best	well	ADV
ijassa-2030	21	6	-	-	PUNCT
ijassa-2030	21	7	guaranteed	guarantee	VERB
ijassa-2030	21	8	result	result	NOUN
ijassa-2030	21	9	(	(	PUNCT
ijassa-2030	21	10	wald	wald	X
ijassa-2030	21	11	principle	principle	NOUN
ijassa-2030	21	12	[	[	X
ijassa-2030	21	13	1	1	NUM
ijassa-2030	21	14	]	]	PUNCT
ijassa-2030	21	15	)	)	PUNCT
ijassa-2030	21	16	is	be	AUX
ijassa-2030	21	17	fruitful	fruitful	ADJ
ijassa-2030	21	18	here	here	ADV
ijassa-2030	21	19	.	.	PUNCT
ijassa-2030	22	1	it	it	PRON
ijassa-2030	22	2	is	be	AUX
ijassa-2030	22	3	applied	apply	VERB
ijassa-2030	22	4	either	either	ADV
ijassa-2030	22	5	to	to	ADP
ijassa-2030	22	6	the	the	DET
ijassa-2030	22	7	initial	initial	ADJ
ijassa-2030	22	8	target	target	NOUN
ijassa-2030	22	9	indicator	indicator	NOUN
ijassa-2030	22	10	or	or	CCONJ
ijassa-2030	22	11	to	to	ADP
ijassa-2030	22	12	some	some	DET
ijassa-2030	22	13	secondary	secondary	ADJ
ijassa-2030	22	14	indicators	indicator	NOUN
ijassa-2030	22	15	,	,	PUNCT
ijassa-2030	22	16	for	for	ADP
ijassa-2030	22	17	example	example	NOUN
ijassa-2030	22	18	,	,	PUNCT
ijassa-2030	22	19	to	to	ADP
ijassa-2030	22	20	the	the	DET
ijassa-2030	22	21	risk	risk	NOUN
ijassa-2030	22	22	function	function	NOUN
ijassa-2030	22	23	according	accord	VERB
ijassa-2030	22	24	to	to	ADP
ijassa-2030	22	25	savage	savage	NOUN
ijassa-2030	22	26	[	[	X
ijassa-2030	22	27	2	2	NUM
ijassa-2030	22	28	]	]	PUNCT
ijassa-2030	22	29	.	.	PUNCT
ijassa-2030	23	1	this	this	DET
ijassa-2030	23	2	risk	risk	NOUN
ijassa-2030	23	3	can	can	AUX
ijassa-2030	23	4	be	be	AUX
ijassa-2030	23	5	interpreted	interpret	VERB
ijassa-2030	23	6	as	as	ADP
ijassa-2030	23	7	a	a	DET
ijassa-2030	23	8	function	function	NOUN
ijassa-2030	23	9	of	of	ADP
ijassa-2030	23	10	losses	loss	NOUN
ijassa-2030	23	11	due	due	ADP
ijassa-2030	23	12	to	to	ADP
ijassa-2030	23	13	ignorance	ignorance	NOUN
ijassa-2030	23	14	–	–	PUNCT
ijassa-2030	23	15	incomplete	incomplete	ADJ
ijassa-2030	23	16	information	information	NOUN
ijassa-2030	23	17	.	.	PUNCT
ijassa-2030	24	1	savage	savage	ADJ
ijassa-2030	24	2	optimization	optimization	NOUN
ijassa-2030	24	3	and	and	CCONJ
ijassa-2030	24	4	other	other	ADJ
ijassa-2030	24	5	approaches	approach	NOUN
ijassa-2030	24	6	in	in	ADP
ijassa-2030	24	7	optimization	optimization	NOUN
ijassa-2030	24	8	problems	problem	NOUN
ijassa-2030	24	9	under	under	ADP
ijassa-2030	24	10	uncertainty	uncertainty	NOUN
ijassa-2030	24	11	were	be	AUX
ijassa-2030	24	12	considered	consider	VERB
ijassa-2030	24	13	in	in	ADP
ijassa-2030	24	14	[	[	PUNCT
ijassa-2030	24	15	3	3	NUM
ijassa-2030	24	16	-	-	SYM
ijassa-2030	24	17	6	6	NUM
ijassa-2030	24	18	]	]	PUNCT
ijassa-2030	24	19	.	.	PUNCT
ijassa-2030	25	1	in	in	ADP
ijassa-2030	25	2	particular	particular	ADJ
ijassa-2030	25	3	,	,	PUNCT
ijassa-2030	25	4	the	the	DET
ijassa-2030	25	5	paper	paper	NOUN
ijassa-2030	25	6	[	[	X
ijassa-2030	25	7	3	3	X
ijassa-2030	25	8	]	]	PUNCT
ijassa-2030	25	9	studied	study	VERB
ijassa-2030	25	10	the	the	DET
ijassa-2030	25	11	case	case	NOUN
ijassa-2030	25	12	of	of	ADP
ijassa-2030	25	13	"	"	PUNCT
ijassa-2030	25	14	mixed	mixed	ADJ
ijassa-2030	25	15	type	type	NOUN
ijassa-2030	25	16	"	"	PUNCT
ijassa-2030	25	17	uncertainty	uncertainty	NOUN
ijassa-2030	25	18	,	,	PUNCT
ijassa-2030	25	19	in	in	ADP
ijassa-2030	25	20	which	which	PRON
ijassa-2030	25	21	statistical	statistical	ADJ
ijassa-2030	25	22	distributions	distribution	NOUN
ijassa-2030	25	23	are	be	AUX
ijassa-2030	25	24	known	know	VERB
ijassa-2030	25	25	for	for	ADP
ijassa-2030	25	26	nondeterministic	nondeterministic	ADJ
ijassa-2030	25	27	parameters	parameter	NOUN
ijassa-2030	25	28	of	of	ADP
ijassa-2030	25	29	the	the	DET
ijassa-2030	25	30	problem	problem	NOUN
ijassa-2030	25	31	,	,	PUNCT
ijassa-2030	25	32	but	but	CCONJ
ijassa-2030	25	33	some	some	DET
ijassa-2030	25	34	characteristics	characteristic	NOUN
ijassa-2030	25	35	of	of	ADP
ijassa-2030	25	36	these	these	DET
ijassa-2030	25	37	distributions	distribution	NOUN
ijassa-2030	25	38	(	(	PUNCT
ijassa-2030	25	39	e.g.	e.g.	ADV
ijassa-2030	25	40	,	,	PUNCT
ijassa-2030	25	41	mathematical	mathematical	ADJ
ijassa-2030	25	42	distribution	distribution	NOUN
ijassa-2030	25	43	or	or	CCONJ
ijassa-2030	25	44	dispersion	dispersion	NOUN
ijassa-2030	25	45	)	)	PUNCT
ijassa-2030	25	46	are	be	AUX
ijassa-2030	25	47	uncertain	uncertain	ADJ
ijassa-2030	25	48	parameters	parameter	NOUN
ijassa-2030	25	49	with	with	ADP
ijassa-2030	25	50	known	known	ADJ
ijassa-2030	25	51	ranges	range	NOUN
ijassa-2030	25	52	of	of	ADP
ijassa-2030	25	53	possible	possible	ADJ
ijassa-2030	25	54	but	but	CCONJ
ijassa-2030	25	55	unknown	unknown	ADJ
ijassa-2030	25	56	in	in	ADP
ijassa-2030	25	57	advance	advance	NOUN
ijassa-2030	25	58	values	value	NOUN
ijassa-2030	25	59	.	.	PUNCT
ijassa-2030	26	1	the	the	DET
ijassa-2030	26	2	works	work	NOUN
ijassa-2030	26	3	[	[	X
ijassa-2030	26	4	5	5	NUM
ijassa-2030	26	5	,	,	PUNCT
ijassa-2030	26	6	6	6	NUM
ijassa-2030	26	7	]	]	PUNCT
ijassa-2030	26	8	*	*	PUNCT
ijassa-2030	26	9	corresponding	correspond	VERB
ijassa-2030	26	10	author	author	NOUN
ijassa-2030	26	11	:	:	PUNCT
ijassa-2030	26	12	molostvov@list.ru	molostvov@list.ru	PROPN
ijassa-2030	26	13	v.s.	v.s.	X
ijassa-2030	26	14	molostvov	molostvov	PROPN
ijassa-2030	26	15	2	2	NUM
ijassa-2030	26	16	copyright	copyright	NOUN
ijassa-2030	26	17	©	©	PROPN
ijassa-2030	26	18	2025	2025	NUM
ijassa-2030	26	19	assa	assa	PROPN
ijassa-2030	26	20	adv	adv	PROPN
ijassa-2030	26	21	.	.	PUNCT
ijassa-2030	27	1	in	in	ADP
ijassa-2030	27	2	systems	system	NOUN
ijassa-2030	27	3	science	science	NOUN
ijassa-2030	27	4	and	and	CCONJ
ijassa-2030	27	5	appl	appl	NOUN
ijassa-2030	27	6	.	.	PUNCT
ijassa-2030	28	1	(	(	PUNCT
ijassa-2030	28	2	2025	2025	NUM
ijassa-2030	28	3	)	)	PUNCT
ijassa-2030	28	4	consider	consider	VERB
ijassa-2030	28	5	in	in	ADP
ijassa-2030	28	6	detail	detail	NOUN
ijassa-2030	28	7	the	the	DET
ijassa-2030	28	8	problems	problem	NOUN
ijassa-2030	28	9	of	of	ADP
ijassa-2030	28	10	optimal	optimal	ADJ
ijassa-2030	28	11	distribution	distribution	NOUN
ijassa-2030	28	12	of	of	ADP
ijassa-2030	28	13	deposits	deposit	NOUN
ijassa-2030	28	14	in	in	ADP
ijassa-2030	28	15	three	three	NUM
ijassa-2030	28	16	currencies	currency	NOUN
ijassa-2030	28	17	according	accord	VERB
ijassa-2030	28	18	to	to	ADP
ijassa-2030	28	19	one	one	NUM
ijassa-2030	28	20	criterion	criterion	NOUN
ijassa-2030	28	21	(	(	PUNCT
ijassa-2030	28	22	guaranteed	guarantee	VERB
ijassa-2030	28	23	income	income	NOUN
ijassa-2030	28	24	or	or	CCONJ
ijassa-2030	28	25	guaranteed	guarantee	VERB
ijassa-2030	28	26	(	(	PUNCT
ijassa-2030	28	27	minimal	minimal	ADJ
ijassa-2030	28	28	)	)	PUNCT
ijassa-2030	28	29	savage	savage	ADJ
ijassa-2030	28	30	risk	risk	NOUN
ijassa-2030	28	31	)	)	PUNCT
ijassa-2030	28	32	,	,	PUNCT
ijassa-2030	28	33	algorithms	algorithm	NOUN
ijassa-2030	28	34	for	for	ADP
ijassa-2030	28	35	calculating	calculate	VERB
ijassa-2030	28	36	the	the	DET
ijassa-2030	28	37	optimal	optimal	ADJ
ijassa-2030	28	38	deposit	deposit	NOUN
ijassa-2030	28	39	structure	structure	NOUN
ijassa-2030	28	40	were	be	AUX
ijassa-2030	28	41	obtained	obtain	VERB
ijassa-2030	28	42	,	,	PUNCT
ijassa-2030	28	43	and	and	CCONJ
ijassa-2030	28	44	multivariate	multivariate	NOUN
ijassa-2030	28	45	calculations	calculation	NOUN
ijassa-2030	28	46	were	be	AUX
ijassa-2030	28	47	carried	carry	VERB
ijassa-2030	28	48	out	out	ADP
ijassa-2030	28	49	.	.	PUNCT
ijassa-2030	29	1	this	this	DET
ijassa-2030	29	2	paper	paper	NOUN
ijassa-2030	29	3	considers	consider	VERB
ijassa-2030	29	4	a	a	DET
ijassa-2030	29	5	two	two	NUM
ijassa-2030	29	6	-	-	PUNCT
ijassa-2030	29	7	criteria	criterion	NOUN
ijassa-2030	29	8	variant	variant	NOUN
ijassa-2030	29	9	of	of	ADP
ijassa-2030	29	10	the	the	DET
ijassa-2030	29	11	optimization	optimization	NOUN
ijassa-2030	29	12	of	of	ADP
ijassa-2030	29	13	a	a	DET
ijassa-2030	29	14	three	three	NUM
ijassa-2030	29	15	-	-	PUNCT
ijassa-2030	29	16	currency	currency	NOUN
ijassa-2030	29	17	deposit	deposit	NOUN
ijassa-2030	29	18	,	,	PUNCT
ijassa-2030	29	19	in	in	ADP
ijassa-2030	29	20	which	which	PRON
ijassa-2030	29	21	both	both	PRON
ijassa-2030	29	22	of	of	ADP
ijassa-2030	29	23	the	the	DET
ijassa-2030	29	24	mentioned	mention	VERB
ijassa-2030	29	25	criteria	criterion	NOUN
ijassa-2030	29	26	are	be	AUX
ijassa-2030	29	27	used	use	VERB
ijassa-2030	29	28	simultaneously	simultaneously	ADV
ijassa-2030	29	29	.	.	PUNCT
ijassa-2030	30	1	2	2	X
ijassa-2030	30	2	.	.	X
ijassa-2030	30	3	statement	statement	NOUN
ijassa-2030	30	4	of	of	ADP
ijassa-2030	30	5	the	the	DET
ijassa-2030	30	6	problem	problem	NOUN
ijassa-2030	30	7	decision	decision	NOUN
ijassa-2030	30	8	-	-	PUNCT
ijassa-2030	30	9	making	make	VERB
ijassa-2030	30	10	problems	problem	NOUN
ijassa-2030	30	11	are	be	AUX
ijassa-2030	30	12	characterized	characterize	VERB
ijassa-2030	30	13	by	by	ADP
ijassa-2030	30	14	two	two	NUM
ijassa-2030	30	15	features	feature	NOUN
ijassa-2030	30	16	.	.	PUNCT
ijassa-2030	31	1	first	first	ADV
ijassa-2030	31	2	,	,	PUNCT
ijassa-2030	31	3	for	for	ADP
ijassa-2030	31	4	some	some	DET
ijassa-2030	31	5	uncontrollable	uncontrollable	ADJ
ijassa-2030	31	6	parameters	parameter	NOUN
ijassa-2030	31	7	only	only	ADV
ijassa-2030	31	8	the	the	DET
ijassa-2030	31	9	limits	limit	NOUN
ijassa-2030	31	10	of	of	ADP
ijassa-2030	31	11	their	their	PRON
ijassa-2030	31	12	possible	possible	ADJ
ijassa-2030	31	13	values	value	NOUN
ijassa-2030	31	14	are	be	AUX
ijassa-2030	31	15	known	know	VERB
ijassa-2030	31	16	(	(	PUNCT
ijassa-2030	31	17	they	they	PRON
ijassa-2030	31	18	are	be	AUX
ijassa-2030	31	19	known	know	VERB
ijassa-2030	31	20	with	with	ADP
ijassa-2030	31	21	the	the	DET
ijassa-2030	31	22	accuracy	accuracy	NOUN
ijassa-2030	31	23	of	of	ADP
ijassa-2030	31	24	some	some	DET
ijassa-2030	31	25	set	set	NOUN
ijassa-2030	31	26	)	)	PUNCT
ijassa-2030	31	27	.	.	PUNCT
ijassa-2030	32	1	second	second	ADJ
ijassa-2030	32	2	,	,	PUNCT
ijassa-2030	32	3	in	in	ADP
ijassa-2030	32	4	order	order	NOUN
ijassa-2030	32	5	to	to	PART
ijassa-2030	32	6	assess	assess	VERB
ijassa-2030	32	7	the	the	DET
ijassa-2030	32	8	quality	quality	NOUN
ijassa-2030	32	9	of	of	ADP
ijassa-2030	32	10	decisions	decision	NOUN
ijassa-2030	32	11	,	,	PUNCT
ijassa-2030	32	12	it	it	PRON
ijassa-2030	32	13	is	be	AUX
ijassa-2030	32	14	necessary	necessary	ADJ
ijassa-2030	32	15	to	to	PART
ijassa-2030	32	16	consider	consider	VERB
ijassa-2030	32	17	simultaneously	simultaneously	ADV
ijassa-2030	32	18	several	several	ADJ
ijassa-2030	32	19	quality	quality	NOUN
ijassa-2030	32	20	indicators	indicator	NOUN
ijassa-2030	32	21	–	–	PUNCT
ijassa-2030	32	22	criteria	criterion	NOUN
ijassa-2030	32	23	.	.	PUNCT
ijassa-2030	33	1	for	for	ADP
ijassa-2030	33	2	example	example	NOUN
ijassa-2030	33	3	,	,	PUNCT
ijassa-2030	33	4	in	in	ADP
ijassa-2030	33	5	the	the	DET
ijassa-2030	33	6	problems	problem	NOUN
ijassa-2030	33	7	of	of	ADP
ijassa-2030	33	8	rational	rational	ADJ
ijassa-2030	33	9	use	use	NOUN
ijassa-2030	33	10	of	of	ADP
ijassa-2030	33	11	investments	investment	NOUN
ijassa-2030	33	12	,	,	PUNCT
ijassa-2030	33	13	one	one	NUM
ijassa-2030	33	14	of	of	ADP
ijassa-2030	33	15	the	the	DET
ijassa-2030	33	16	main	main	ADJ
ijassa-2030	33	17	criteria	criterion	NOUN
ijassa-2030	33	18	is	be	AUX
ijassa-2030	33	19	income	income	NOUN
ijassa-2030	33	20	.	.	PUNCT
ijassa-2030	34	1	at	at	ADP
ijassa-2030	34	2	the	the	DET
ijassa-2030	34	3	same	same	ADJ
ijassa-2030	34	4	time	time	NOUN
ijassa-2030	34	5	,	,	PUNCT
ijassa-2030	34	6	the	the	DET
ijassa-2030	34	7	uncertainty	uncertainty	NOUN
ijassa-2030	34	8	of	of	ADP
ijassa-2030	34	9	the	the	DET
ijassa-2030	34	10	future	future	ADJ
ijassa-2030	34	11	economic	economic	ADJ
ijassa-2030	34	12	environment	environment	NOUN
ijassa-2030	34	13	entails	entail	VERB
ijassa-2030	34	14	uncertainty	uncertainty	NOUN
ijassa-2030	34	15	of	of	ADP
ijassa-2030	34	16	expected	expect	VERB
ijassa-2030	34	17	financial	financial	ADJ
ijassa-2030	34	18	results	result	NOUN
ijassa-2030	34	19	.	.	PUNCT
ijassa-2030	35	1	this	this	PRON
ijassa-2030	35	2	leads	lead	VERB
ijassa-2030	35	3	to	to	ADP
ijassa-2030	35	4	the	the	DET
ijassa-2030	35	5	need	need	NOUN
ijassa-2030	35	6	to	to	PART
ijassa-2030	35	7	consider	consider	VERB
ijassa-2030	35	8	risks	risk	NOUN
ijassa-2030	35	9	,	,	PUNCT
ijassa-2030	35	10	understood	understand	VERB
ijassa-2030	35	11	as	as	ADP
ijassa-2030	35	12	the	the	DET
ijassa-2030	35	13	difference	difference	NOUN
ijassa-2030	35	14	between	between	ADP
ijassa-2030	35	15	the	the	DET
ijassa-2030	35	16	desired	desire	VERB
ijassa-2030	35	17	or	or	CCONJ
ijassa-2030	35	18	expected	expect	VERB
ijassa-2030	35	19	results	result	NOUN
ijassa-2030	35	20	and	and	CCONJ
ijassa-2030	35	21	the	the	DET
ijassa-2030	35	22	results	result	NOUN
ijassa-2030	35	23	obtained	obtain	VERB
ijassa-2030	35	24	.	.	PUNCT
ijassa-2030	36	1	in	in	ADP
ijassa-2030	36	2	the	the	DET
ijassa-2030	36	3	field	field	NOUN
ijassa-2030	36	4	of	of	ADP
ijassa-2030	36	5	single	single	ADJ
ijassa-2030	36	6	-	-	PUNCT
ijassa-2030	36	7	criteria	criterion	NOUN
ijassa-2030	36	8	optimization	optimization	NOUN
ijassa-2030	36	9	of	of	ADP
ijassa-2030	36	10	income	income	NOUN
ijassa-2030	36	11	under	under	ADP
ijassa-2030	36	12	uncertainty	uncertainty	NOUN
ijassa-2030	36	13	,	,	PUNCT
ijassa-2030	36	14	the	the	DET
ijassa-2030	36	15	most	most	ADV
ijassa-2030	36	16	convincing	convincing	ADJ
ijassa-2030	36	17	and	and	CCONJ
ijassa-2030	36	18	elaborated	elaborate	VERB
ijassa-2030	36	19	,	,	PUNCT
ijassa-2030	36	20	in	in	ADP
ijassa-2030	36	21	our	our	PRON
ijassa-2030	36	22	opinion	opinion	NOUN
ijassa-2030	36	23	,	,	PUNCT
ijassa-2030	36	24	is	be	AUX
ijassa-2030	36	25	the	the	DET
ijassa-2030	36	26	wald	wald	ADJ
ijassa-2030	36	27	principle	principle	NOUN
ijassa-2030	37	1	[	[	X
ijassa-2030	37	2	1	1	NUM
ijassa-2030	37	3	]	]	PUNCT
ijassa-2030	37	4	–	–	PUNCT
ijassa-2030	37	5	the	the	DET
ijassa-2030	37	6	principle	principle	NOUN
ijassa-2030	37	7	of	of	ADP
ijassa-2030	37	8	the	the	DET
ijassa-2030	37	9	best	well	ADV
ijassa-2030	37	10	-	-	PUNCT
ijassa-2030	37	11	guaranteed	guarantee	VERB
ijassa-2030	37	12	result	result	NOUN
ijassa-2030	37	13	.	.	PUNCT
ijassa-2030	38	1	to	to	PART
ijassa-2030	38	2	measure	measure	VERB
ijassa-2030	38	3	risk	risk	NOUN
ijassa-2030	38	4	,	,	PUNCT
ijassa-2030	38	5	the	the	DET
ijassa-2030	38	6	risk	risk	NOUN
ijassa-2030	38	7	function	function	NOUN
ijassa-2030	38	8	(	(	PUNCT
ijassa-2030	38	9	loss	loss	NOUN
ijassa-2030	38	10	function	function	NOUN
ijassa-2030	38	11	)	)	PUNCT
ijassa-2030	38	12	according	accord	VERB
ijassa-2030	38	13	to	to	ADP
ijassa-2030	38	14	savage	savage	NOUN
ijassa-2030	38	15	[	[	X
ijassa-2030	38	16	2	2	NUM
ijassa-2030	38	17	]	]	PUNCT
ijassa-2030	38	18	is	be	AUX
ijassa-2030	38	19	often	often	ADV
ijassa-2030	38	20	used	use	VERB
ijassa-2030	38	21	,	,	PUNCT
ijassa-2030	38	22	i.e.	i.e.	X
ijassa-2030	38	23	the	the	DET
ijassa-2030	38	24	difference	difference	NOUN
ijassa-2030	38	25	between	between	ADP
ijassa-2030	38	26	the	the	DET
ijassa-2030	38	27	best	good	ADJ
ijassa-2030	38	28	result	result	NOUN
ijassa-2030	38	29	(	(	PUNCT
ijassa-2030	38	30	at	at	ADP
ijassa-2030	38	31	a	a	DET
ijassa-2030	38	32	known	known	ADJ
ijassa-2030	38	33	ahead	ahead	ADJ
ijassa-2030	38	34	value	value	NOUN
ijassa-2030	38	35	of	of	ADP
ijassa-2030	38	36	uncertainty	uncertainty	NOUN
ijassa-2030	38	37	)	)	PUNCT
ijassa-2030	38	38	and	and	CCONJ
ijassa-2030	38	39	the	the	DET
ijassa-2030	38	40	actual	actual	ADJ
ijassa-2030	38	41	result	result	NOUN
ijassa-2030	38	42	at	at	ADP
ijassa-2030	38	43	a	a	DET
ijassa-2030	38	44	particular	particular	ADJ
ijassa-2030	38	45	real	real	ADJ
ijassa-2030	38	46	strategy	strategy	NOUN
ijassa-2030	38	47	.	.	PUNCT
ijassa-2030	39	1	applying	apply	VERB
ijassa-2030	39	2	the	the	DET
ijassa-2030	39	3	principle	principle	NOUN
ijassa-2030	39	4	of	of	ADP
ijassa-2030	39	5	the	the	DET
ijassa-2030	39	6	best	well	ADV
ijassa-2030	39	7	-	-	PUNCT
ijassa-2030	39	8	guaranteed	guarantee	VERB
ijassa-2030	39	9	outcome	outcome	NOUN
ijassa-2030	39	10	to	to	ADP
ijassa-2030	39	11	the	the	DET
ijassa-2030	39	12	risk	risk	NOUN
ijassa-2030	39	13	function	function	NOUN
ijassa-2030	39	14	leads	lead	VERB
ijassa-2030	39	15	to	to	ADP
ijassa-2030	39	16	the	the	DET
ijassa-2030	39	17	concept	concept	NOUN
ijassa-2030	39	18	of	of	ADP
ijassa-2030	39	19	guaranteed	guarantee	VERB
ijassa-2030	39	20	risk	risk	NOUN
ijassa-2030	39	21	and	and	CCONJ
ijassa-2030	39	22	optimal	optimal	ADJ
ijassa-2030	39	23	guaranteed	guarantee	VERB
ijassa-2030	39	24	risk	risk	NOUN
ijassa-2030	39	25	.	.	PUNCT
ijassa-2030	40	1	the	the	DET
ijassa-2030	40	2	problem	problem	NOUN
ijassa-2030	40	3	of	of	ADP
ijassa-2030	40	4	multi	multi	ADJ
ijassa-2030	40	5	-	-	ADJ
ijassa-2030	40	6	currency	currency	ADJ
ijassa-2030	40	7	deposit	deposit	NOUN
ijassa-2030	40	8	optimization	optimization	NOUN
ijassa-2030	40	9	under	under	ADP
ijassa-2030	40	10	uncertainty	uncertainty	NOUN
ijassa-2030	40	11	in	in	ADP
ijassa-2030	40	12	terms	term	NOUN
ijassa-2030	40	13	of	of	ADP
ijassa-2030	40	14	each	each	DET
ijassa-2030	40	15	these	these	DET
ijassa-2030	40	16	indicators	indicator	NOUN
ijassa-2030	40	17	(	(	PUNCT
ijassa-2030	40	18	income	income	NOUN
ijassa-2030	40	19	and	and	CCONJ
ijassa-2030	40	20	risk	risk	NOUN
ijassa-2030	40	21	)	)	PUNCT
ijassa-2030	40	22	separately	separately	ADV
ijassa-2030	40	23	was	be	AUX
ijassa-2030	40	24	considered	consider	VERB
ijassa-2030	40	25	in	in	ADP
ijassa-2030	40	26	[	[	X
ijassa-2030	40	27	5	5	NUM
ijassa-2030	40	28	,	,	PUNCT
ijassa-2030	40	29	6	6	NUM
ijassa-2030	40	30	]	]	PUNCT
ijassa-2030	40	31	.	.	PUNCT
ijassa-2030	41	1	this	this	DET
ijassa-2030	41	2	paper	paper	NOUN
ijassa-2030	41	3	develops	develop	VERB
ijassa-2030	41	4	a	a	DET
ijassa-2030	41	5	two	two	NUM
ijassa-2030	41	6	-	-	PUNCT
ijassa-2030	41	7	criteria	criterion	NOUN
ijassa-2030	41	8	approach	approach	NOUN
ijassa-2030	41	9	to	to	ADP
ijassa-2030	41	10	the	the	DET
ijassa-2030	41	11	above	above	ADJ
ijassa-2030	41	12	problem	problem	NOUN
ijassa-2030	41	13	.	.	PUNCT
ijassa-2030	42	1	the	the	DET
ijassa-2030	42	2	generally	generally	ADV
ijassa-2030	42	3	recognized	recognize	VERB
ijassa-2030	42	4	concept	concept	NOUN
ijassa-2030	42	5	of	of	ADP
ijassa-2030	42	6	pareto	pareto	ADJ
ijassa-2030	42	7	(	(	PUNCT
ijassa-2030	42	8	or	or	CCONJ
ijassa-2030	42	9	slater	slater	NOUN
ijassa-2030	42	10	)	)	PUNCT
ijassa-2030	42	11	optimality	optimality	NOUN
ijassa-2030	42	12	is	be	AUX
ijassa-2030	42	13	used	use	VERB
ijassa-2030	42	14	.	.	PUNCT
ijassa-2030	43	1	guaranteed	guarantee	VERB
ijassa-2030	43	2	income	income	NOUN
ijassa-2030	43	3	(	(	PUNCT
ijassa-2030	43	4	according	accord	VERB
ijassa-2030	43	5	to	to	ADP
ijassa-2030	43	6	wald	wald	X
ijassa-2030	43	7	)	)	PUNCT
ijassa-2030	43	8	and	and	CCONJ
ijassa-2030	43	9	guaranteed	guarantee	VERB
ijassa-2030	43	10	risk	risk	NOUN
ijassa-2030	43	11	(	(	PUNCT
ijassa-2030	43	12	according	accord	VERB
ijassa-2030	43	13	to	to	ADP
ijassa-2030	43	14	savage	savage	NOUN
ijassa-2030	43	15	)	)	PUNCT
ijassa-2030	43	16	are	be	AUX
ijassa-2030	43	17	chosen	choose	VERB
ijassa-2030	43	18	as	as	ADP
ijassa-2030	43	19	criteria	criterion	NOUN
ijassa-2030	43	20	.	.	PUNCT
ijassa-2030	44	1	the	the	DET
ijassa-2030	44	2	pareto	pareto	ADJ
ijassa-2030	44	3	principle	principle	NOUN
ijassa-2030	44	4	identifies	identify	VERB
ijassa-2030	44	5	a	a	DET
ijassa-2030	44	6	set	set	NOUN
ijassa-2030	44	7	of	of	ADP
ijassa-2030	44	8	efficient	efficient	ADJ
ijassa-2030	44	9	solutions	solution	NOUN
ijassa-2030	44	10	(	(	PUNCT
ijassa-2030	44	11	synonyms	synonym	NOUN
ijassa-2030	44	12	–	–	PUNCT
ijassa-2030	44	13	non	non	ADJ
ijassa-2030	44	14	-	-	ADJ
ijassa-2030	44	15	dominated	dominated	ADJ
ijassa-2030	44	16	,	,	PUNCT
ijassa-2030	44	17	nonimprovable	nonimprovable	ADJ
ijassa-2030	44	18	,	,	PUNCT
ijassa-2030	44	19	efficient	efficient	ADJ
ijassa-2030	44	20	,	,	PUNCT
ijassa-2030	44	21	rational	rational	ADJ
ijassa-2030	44	22	)	)	PUNCT
ijassa-2030	44	23	,	,	PUNCT
ijassa-2030	44	24	but	but	CCONJ
ijassa-2030	44	25	the	the	DET
ijassa-2030	44	26	dm	dm	NOUN
ijassa-2030	44	27	must	must	AUX
ijassa-2030	44	28	choose	choose	VERB
ijassa-2030	44	29	a	a	DET
ijassa-2030	44	30	specific	specific	ADJ
ijassa-2030	44	31	solution	solution	NOUN
ijassa-2030	44	32	.	.	PUNCT
ijassa-2030	45	1	there	there	PRON
ijassa-2030	45	2	are	be	VERB
ijassa-2030	45	3	many	many	ADJ
ijassa-2030	45	4	approaches	approach	NOUN
ijassa-2030	45	5	,	,	PUNCT
ijassa-2030	45	6	recommendations	recommendation	NOUN
ijassa-2030	45	7	and	and	CCONJ
ijassa-2030	45	8	procedures	procedure	NOUN
ijassa-2030	45	9	proposed	propose	VERB
ijassa-2030	45	10	in	in	ADP
ijassa-2030	45	11	the	the	DET
ijassa-2030	45	12	vast	vast	ADJ
ijassa-2030	45	13	literature	literature	NOUN
ijassa-2030	45	14	on	on	ADP
ijassa-2030	45	15	multicriteria	multicriteria	PROPN
ijassa-2030	45	16	optimization	optimization	NOUN
ijassa-2030	45	17	regarding	regard	VERB
ijassa-2030	45	18	the	the	DET
ijassa-2030	45	19	choice	choice	NOUN
ijassa-2030	45	20	of	of	ADP
ijassa-2030	45	21	a	a	DET
ijassa-2030	45	22	single	single	ADJ
ijassa-2030	45	23	solution	solution	NOUN
ijassa-2030	45	24	.	.	PUNCT
ijassa-2030	46	1	some	some	PRON
ijassa-2030	46	2	of	of	ADP
ijassa-2030	46	3	them	they	PRON
ijassa-2030	46	4	,	,	PUNCT
ijassa-2030	46	5	despite	despite	SCONJ
ijassa-2030	46	6	their	their	PRON
ijassa-2030	46	7	apparent	apparent	ADJ
ijassa-2030	46	8	logical	logical	ADJ
ijassa-2030	46	9	simplicity	simplicity	NOUN
ijassa-2030	46	10	(	(	PUNCT
ijassa-2030	46	11	e.g.	e.g.	ADV
ijassa-2030	46	12	,	,	PUNCT
ijassa-2030	46	13	minimization	minimization	NOUN
ijassa-2030	46	14	of	of	ADP
ijassa-2030	46	15	linear	linear	ADJ
ijassa-2030	46	16	convolution	convolution	NOUN
ijassa-2030	46	17	of	of	ADP
ijassa-2030	46	18	criteria	criterion	NOUN
ijassa-2030	46	19	with	with	ADP
ijassa-2030	46	20	given	give	VERB
ijassa-2030	46	21	weight	weight	NOUN
ijassa-2030	46	22	"	"	PUNCT
ijassa-2030	46	23	importance	importance	NOUN
ijassa-2030	46	24	coefficients	coefficient	NOUN
ijassa-2030	46	25	"	"	PUNCT
ijassa-2030	46	26	)	)	PUNCT
ijassa-2030	46	27	,	,	PUNCT
ijassa-2030	46	28	have	have	AUX
ijassa-2030	46	29	been	be	AUX
ijassa-2030	46	30	subjected	subject	VERB
ijassa-2030	46	31	to	to	ADP
ijassa-2030	46	32	reasonable	reasonable	ADJ
ijassa-2030	46	33	criticism	criticism	NOUN
ijassa-2030	46	34	.	.	PUNCT
ijassa-2030	47	1	one	one	NUM
ijassa-2030	47	2	of	of	ADP
ijassa-2030	47	3	the	the	DET
ijassa-2030	47	4	possible	possible	ADJ
ijassa-2030	47	5	solutions	solution	NOUN
ijassa-2030	47	6	here	here	ADV
ijassa-2030	47	7	is	be	AUX
ijassa-2030	47	8	to	to	PART
ijassa-2030	47	9	visualize	visualize	VERB
ijassa-2030	47	10	the	the	DET
ijassa-2030	47	11	whole	whole	ADJ
ijassa-2030	47	12	set	set	NOUN
ijassa-2030	47	13	of	of	ADP
ijassa-2030	47	14	pareto	pareto	VERB
ijassa-2030	47	15	-	-	PUNCT
ijassa-2030	47	16	optimal	optimal	ADJ
ijassa-2030	47	17	solutions	solution	NOUN
ijassa-2030	47	18	or	or	CCONJ
ijassa-2030	47	19	at	at	ADP
ijassa-2030	47	20	least	least	ADJ
ijassa-2030	47	21	a	a	DET
ijassa-2030	47	22	sufficiently	sufficiently	ADV
ijassa-2030	47	23	representative	representative	ADJ
ijassa-2030	47	24	discrete	discrete	ADJ
ijassa-2030	47	25	subset	subset	NOUN
ijassa-2030	47	26	of	of	ADP
ijassa-2030	47	27	this	this	DET
ijassa-2030	47	28	set	set	NOUN
ijassa-2030	47	29	and	and	CCONJ
ijassa-2030	47	30	leave	leave	VERB
ijassa-2030	47	31	the	the	DET
ijassa-2030	47	32	choice	choice	NOUN
ijassa-2030	47	33	of	of	ADP
ijassa-2030	47	34	a	a	DET
ijassa-2030	47	35	single	single	ADJ
ijassa-2030	47	36	solution	solution	NOUN
ijassa-2030	47	37	to	to	ADP
ijassa-2030	47	38	the	the	DET
ijassa-2030	47	39	discretion	discretion	NOUN
ijassa-2030	47	40	of	of	ADP
ijassa-2030	47	41	the	the	DET
ijassa-2030	47	42	dm	dm	NOUN
ijassa-2030	47	43	.	.	PUNCT
ijassa-2030	48	1	it	it	PRON
ijassa-2030	48	2	is	be	AUX
ijassa-2030	48	3	desirable	desirable	ADJ
ijassa-2030	48	4	that	that	SCONJ
ijassa-2030	48	5	the	the	DET
ijassa-2030	48	6	parameterization	parameterization	NOUN
ijassa-2030	48	7	of	of	ADP
ijassa-2030	48	8	the	the	DET
ijassa-2030	48	9	set	set	NOUN
ijassa-2030	48	10	of	of	ADP
ijassa-2030	48	11	paretooptimal	paretooptimal	ADJ
ijassa-2030	48	12	solutions	solution	NOUN
ijassa-2030	48	13	be	be	VERB
ijassa-2030	48	14	transparent	transparent	ADJ
ijassa-2030	48	15	and	and	CCONJ
ijassa-2030	48	16	understandable	understandable	ADJ
ijassa-2030	48	17	for	for	ADP
ijassa-2030	48	18	the	the	DET
ijassa-2030	48	19	dm	dm	PROPN
ijassa-2030	48	20	.	.	PUNCT
ijassa-2030	49	1	the	the	DET
ijassa-2030	49	2	following	follow	VERB
ijassa-2030	49	3	property	property	NOUN
ijassa-2030	49	4	of	of	ADP
ijassa-2030	49	5	two	two	NUM
ijassa-2030	49	6	-	-	PUNCT
ijassa-2030	49	7	criteria	criterion	NOUN
ijassa-2030	49	8	problems	problem	NOUN
ijassa-2030	49	9	is	be	AUX
ijassa-2030	49	10	used	use	VERB
ijassa-2030	49	11	below	below	ADV
ijassa-2030	49	12	.	.	PUNCT
ijassa-2030	50	1	if	if	SCONJ
ijassa-2030	50	2	the	the	DET
ijassa-2030	50	3	constraint	constraint	NOUN
ijassa-2030	50	4	"	"	PUNCT
ijassa-2030	50	5	no	no	ADV
ijassa-2030	50	6	worse	bad	ADJ
ijassa-2030	50	7	than	than	ADP
ijassa-2030	50	8	p=	p=	ADJ
ijassa-2030	50	9	const	const	NOUN
ijassa-2030	50	10	"	"	PUNCT
ijassa-2030	50	11	is	be	AUX
ijassa-2030	50	12	imposed	impose	VERB
ijassa-2030	50	13	on	on	ADP
ijassa-2030	50	14	one	one	NUM
ijassa-2030	50	15	criterion	criterion	NOUN
ijassa-2030	50	16	and	and	CCONJ
ijassa-2030	50	17	optimization	optimization	NOUN
ijassa-2030	50	18	is	be	AUX
ijassa-2030	50	19	performed	perform	VERB
ijassa-2030	50	20	on	on	ADP
ijassa-2030	50	21	the	the	DET
ijassa-2030	50	22	second	second	ADJ
ijassa-2030	50	23	criterion	criterion	NOUN
ijassa-2030	50	24	,	,	PUNCT
ijassa-2030	50	25	then	then	ADV
ijassa-2030	50	26	the	the	DET
ijassa-2030	50	27	obtained	obtain	VERB
ijassa-2030	50	28	solution	solution	NOUN
ijassa-2030	50	29	(	(	PUNCT
ijassa-2030	50	30	if	if	SCONJ
ijassa-2030	50	31	it	it	PRON
ijassa-2030	50	32	exists	exist	VERB
ijassa-2030	50	33	)	)	PUNCT
ijassa-2030	50	34	is	be	AUX
ijassa-2030	50	35	pareto	pareto	VERB
ijassa-2030	50	36	optimal	optimal	ADJ
ijassa-2030	50	37	or	or	CCONJ
ijassa-2030	50	38	,	,	PUNCT
ijassa-2030	50	39	in	in	ADP
ijassa-2030	50	40	the	the	DET
ijassa-2030	50	41	extreme	extreme	ADJ
ijassa-2030	50	42	case	case	NOUN
ijassa-2030	50	43	,	,	PUNCT
ijassa-2030	50	44	slater	slater	NOUN
ijassa-2030	50	45	optimal	optimal	ADJ
ijassa-2030	50	46	.	.	PUNCT
ijassa-2030	51	1	in	in	ADP
ijassa-2030	51	2	case	case	NOUN
ijassa-2030	51	3	the	the	DET
ijassa-2030	51	4	obtained	obtain	VERB
ijassa-2030	51	5	solution	solution	NOUN
ijassa-2030	51	6	is	be	AUX
ijassa-2030	51	7	unique	unique	ADJ
ijassa-2030	51	8	in	in	ADP
ijassa-2030	51	9	terms	term	NOUN
ijassa-2030	51	10	of	of	ADP
ijassa-2030	51	11	the	the	DET
ijassa-2030	51	12	value	value	NOUN
ijassa-2030	51	13	of	of	ADP
ijassa-2030	51	14	the	the	DET
ijassa-2030	51	15	second	second	ADJ
ijassa-2030	51	16	criterion	criterion	NOUN
ijassa-2030	51	17	,	,	PUNCT
ijassa-2030	51	18	it	it	PRON
ijassa-2030	51	19	is	be	AUX
ijassa-2030	51	20	also	also	ADV
ijassa-2030	51	21	pareto	pareto	VERB
ijassa-2030	51	22	optimal	optimal	ADJ
ijassa-2030	51	23	[	[	X
ijassa-2030	51	24	7	7	NUM
ijassa-2030	51	25	]	]	PUNCT
ijassa-2030	51	26	.	.	PUNCT
ijassa-2030	52	1	if	if	SCONJ
ijassa-2030	52	2	the	the	DET
ijassa-2030	52	3	minimum	minimum	ADJ
ijassa-2030	52	4	and	and	CCONJ
ijassa-2030	52	5	maximum	maximum	ADJ
ijassa-2030	52	6	values	value	NOUN
ijassa-2030	52	7	of	of	ADP
ijassa-2030	52	8	the	the	DET
ijassa-2030	52	9	criteria	criterion	NOUN
ijassa-2030	52	10	are	be	AUX
ijassa-2030	52	11	finite	finite	ADJ
ijassa-2030	52	12	(	(	PUNCT
ijassa-2030	52	13	in	in	ADP
ijassa-2030	52	14	our	our	PRON
ijassa-2030	52	15	deposit	deposit	NOUN
ijassa-2030	52	16	problem	problem	NOUN
ijassa-2030	52	17	it	it	PRON
ijassa-2030	52	18	is	be	AUX
ijassa-2030	52	19	so	so	ADV
ijassa-2030	52	20	)	)	PUNCT
ijassa-2030	52	21	,	,	PUNCT
ijassa-2030	52	22	then	then	ADV
ijassa-2030	52	23	the	the	DET
ijassa-2030	52	24	procedure	procedure	NOUN
ijassa-2030	52	25	with	with	ADP
ijassa-2030	52	26	a	a	DET
ijassa-2030	52	27	"	"	PUNCT
ijassa-2030	52	28	sufficiently	sufficiently	ADV
ijassa-2030	52	29	detailed	detailed	ADJ
ijassa-2030	52	30	"	"	PUNCT
ijassa-2030	52	31	partitioning	partition	VERB
ijassa-2030	52	32	by	by	ADP
ijassa-2030	52	33	the	the	DET
ijassa-2030	52	34	parameter	parameter	NOUN
ijassa-2030	52	35	p	p	PROPN
ijassa-2030	52	36	will	will	AUX
ijassa-2030	52	37	give	give	VERB
ijassa-2030	52	38	a	a	DET
ijassa-2030	52	39	"	"	PUNCT
ijassa-2030	52	40	sufficiently	sufficiently	ADV
ijassa-2030	52	41	detailed	detailed	ADJ
ijassa-2030	52	42	"	"	PUNCT
ijassa-2030	52	43	representation	representation	NOUN
ijassa-2030	52	44	of	of	ADP
ijassa-2030	52	45	the	the	DET
ijassa-2030	52	46	set	set	NOUN
ijassa-2030	52	47	of	of	ADP
ijassa-2030	52	48	optimal	optimal	ADJ
ijassa-2030	52	49	solutions	solution	NOUN
ijassa-2030	52	50	.	.	PUNCT
ijassa-2030	53	1	within	within	ADP
ijassa-2030	53	2	the	the	DET
ijassa-2030	53	3	framework	framework	NOUN
ijassa-2030	53	4	of	of	ADP
ijassa-2030	53	5	this	this	DET
ijassa-2030	53	6	approach	approach	NOUN
ijassa-2030	53	7	,	,	PUNCT
ijassa-2030	53	8	we	we	PRON
ijassa-2030	53	9	propose	propose	VERB
ijassa-2030	53	10	an	an	DET
ijassa-2030	53	11	algorithm	algorithm	NOUN
ijassa-2030	53	12	for	for	ADP
ijassa-2030	53	13	constructing	construct	VERB
ijassa-2030	53	14	a	a	DET
ijassa-2030	53	15	subset	subset	NOUN
ijassa-2030	53	16	of	of	ADP
ijassa-2030	53	17	pareto	pareto	VERB
ijassa-2030	53	18	-	-	PUNCT
ijassa-2030	53	19	optimal	optimal	ADJ
ijassa-2030	53	20	solutions	solution	NOUN
ijassa-2030	53	21	for	for	ADP
ijassa-2030	53	22	the	the	DET
ijassa-2030	53	23	problem	problem	NOUN
ijassa-2030	53	24	of	of	ADP
ijassa-2030	53	25	optimal	optimal	ADJ
ijassa-2030	53	26	deposit	deposit	NOUN
ijassa-2030	53	27	diversification	diversification	NOUN
ijassa-2030	53	28	.	.	PUNCT
ijassa-2030	54	1	3	3	X
ijassa-2030	54	2	.	.	X
ijassa-2030	54	3	bilinear	bilinear	NOUN
ijassa-2030	54	4	resource	resource	NOUN
ijassa-2030	54	5	allocation	allocation	NOUN
ijassa-2030	54	6	problems	problem	NOUN
ijassa-2030	54	7	under	under	ADP
ijassa-2030	54	8	uncertainty	uncertainty	NOUN
ijassa-2030	54	9	consider	consider	VERB
ijassa-2030	54	10	the	the	DET
ijassa-2030	54	11	problem	problem	NOUN
ijassa-2030	54	12	of	of	ADP
ijassa-2030	54	13	allocating	allocate	VERB
ijassa-2030	54	14	a	a	DET
ijassa-2030	54	15	unit	unit	NOUN
ijassa-2030	54	16	of	of	ADP
ijassa-2030	54	17	some	some	DET
ijassa-2030	54	18	resource	resource	NOUN
ijassa-2030	54	19	to	to	ADP
ijassa-2030	54	20	𝑚	𝑚	NOUN
ijassa-2030	54	21	types	type	NOUN
ijassa-2030	54	22	of	of	ADP
ijassa-2030	54	23	activity	activity	NOUN
ijassa-2030	54	24	.	.	PUNCT
ijassa-2030	55	1	the	the	DET
ijassa-2030	55	2	profitability	profitability	NOUN
ijassa-2030	55	3	of	of	ADP
ijassa-2030	55	4	the	the	DET
ijassa-2030	55	5	latter	latter	ADJ
ijassa-2030	55	6	depends	depend	VERB
ijassa-2030	55	7	on	on	ADP
ijassa-2030	55	8	uncertain	uncertain	ADJ
ijassa-2030	55	9	factors	factor	NOUN
ijassa-2030	55	10	.	.	PUNCT
ijassa-2030	56	1	let	let	VERB
ijassa-2030	56	2	the	the	DET
ijassa-2030	56	3	initial	initial	ADJ
ijassa-2030	56	4	efficiency	efficiency	NOUN
ijassa-2030	56	5	indicator	indicator	NOUN
ijassa-2030	56	6	(	(	PUNCT
ijassa-2030	56	7	income	income	NOUN
ijassa-2030	56	8	)	)	PUNCT
ijassa-2030	56	9	be	be	AUX
ijassa-2030	56	10	given	give	VERB
ijassa-2030	56	11	by	by	ADP
ijassa-2030	56	12	a	a	DET
ijassa-2030	56	13	bilinear	bilinear	NOUN
ijassa-2030	56	14	function	function	NOUN
ijassa-2030	56	15	of	of	ADP
ijassa-2030	56	16	the	the	DET
ijassa-2030	56	17	form	form	NOUN
ijassa-2030	56	18	3	3	NUM
ijassa-2030	56	19	optimization	optimization	NOUN
ijassa-2030	56	20	of	of	ADP
ijassa-2030	56	21	deposit	deposit	NOUN
ijassa-2030	56	22	structure	structure	NOUN
ijassa-2030	56	23	by	by	ADP
ijassa-2030	56	24	income	income	NOUN
ijassa-2030	56	25	and	and	CCONJ
ijassa-2030	56	26	risk	risk	NOUN
ijassa-2030	56	27	under	under	ADP
ijassa-2030	56	28	uncertainty	uncertainty	NOUN
ijassa-2030	56	29	copyright	copyright	NOUN
ijassa-2030	56	30	©	©	PROPN
ijassa-2030	56	31	2025	2025	NUM
ijassa-2030	56	32	assa	assa	PROPN
ijassa-2030	56	33	adv	adv	PROPN
ijassa-2030	56	34	.	.	PUNCT
ijassa-2030	57	1	in	in	ADP
ijassa-2030	57	2	systems	system	NOUN
ijassa-2030	57	3	science	science	NOUN
ijassa-2030	57	4	and	and	CCONJ
ijassa-2030	57	5	appl	appl	NOUN
ijassa-2030	57	6	.	.	PUNCT
ijassa-2030	58	1	(	(	PUNCT
ijassa-2030	58	2	2025	2025	NUM
ijassa-2030	58	3	)	)	PUNCT
ijassa-2030	58	4	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	58	5	,	,	PUNCT
ijassa-2030	58	6	𝑦	𝑦	NOUN
ijassa-2030	58	7	)	)	PUNCT
ijassa-2030	58	8	=	=	SYM
ijassa-2030	59	1	𝑐	𝑐	PUNCT
ijassa-2030	59	2	𝑥	𝑥	PRON
ijassa-2030	59	3	𝑦	𝑦	NOUN
ijassa-2030	59	4	,	,	PUNCT
ijassa-2030	59	5	𝑥	𝑥	DET
ijassa-2030	59	6	∈	∈	PROPN
ijassa-2030	59	7	𝑋	𝑋	PROPN
ijassa-2030	59	8	,	,	PUNCT
ijassa-2030	59	9	𝑦	𝑦	NOUN
ijassa-2030	59	10	∈	∈	PROPN
ijassa-2030	59	11	𝑌	𝑌	PROPN
ijassa-2030	59	12	,	,	PUNCT
ijassa-2030	59	13	𝑎𝑙𝑙	𝑎𝑙𝑙	X
ijassa-2030	59	14	𝑐	𝑐	PROPN
ijassa-2030	59	15	≥	≥	NUM
ijassa-2030	59	16	0	0	NUM
ijassa-2030	59	17	.	.	PUNCT
ijassa-2030	60	1	(	(	PUNCT
ijassa-2030	60	2	1	1	X
ijassa-2030	60	3	)	)	PUNCT
ijassa-2030	60	4	here	here	ADV
ijassa-2030	60	5	,	,	PUNCT
ijassa-2030	60	6	the	the	DET
ijassa-2030	60	7	vector	vector	NOUN
ijassa-2030	60	8	𝑥	𝑥	NOUN
ijassa-2030	60	9	=	=	PUNCT
ijassa-2030	60	10	(	(	PUNCT
ijassa-2030	60	11	𝑥	𝑥	X
ijassa-2030	60	12	,	,	PUNCT
ijassa-2030	60	13	…	…	PUNCT
ijassa-2030	60	14	,	,	PUNCT
ijassa-2030	60	15	𝑥	𝑥	PROPN
ijassa-2030	60	16	)	)	PUNCT
ijassa-2030	60	17	is	be	AUX
ijassa-2030	60	18	the	the	DET
ijassa-2030	60	19	dm	dm	NOUN
ijassa-2030	60	20	's	's	PART
ijassa-2030	60	21	strategy	strategy	NOUN
ijassa-2030	60	22	of	of	ADP
ijassa-2030	60	23	allocating	allocate	VERB
ijassa-2030	60	24	the	the	DET
ijassa-2030	60	25	resource	resource	NOUN
ijassa-2030	60	26	to	to	ADP
ijassa-2030	60	27	m	m	PROPN
ijassa-2030	60	28	activities	activity	NOUN
ijassa-2030	60	29	,	,	PUNCT
ijassa-2030	60	30	𝑋	𝑋	NOUN
ijassa-2030	60	31	=	=	SYM
ijassa-2030	60	32	{	{	PUNCT
ijassa-2030	60	33	𝑥	𝑥	X
ijassa-2030	60	34	=	=	PUNCT
ijassa-2030	60	35	(	(	PUNCT
ijassa-2030	60	36	𝑥	𝑥	X
ijassa-2030	60	37	,	,	PUNCT
ijassa-2030	60	38	…	…	PUNCT
ijassa-2030	60	39	,	,	PUNCT
ijassa-2030	60	40	𝑥	𝑥	X
ijassa-2030	60	41	):	):	PUNCT
ijassa-2030	60	42	𝑥	𝑥	PRON
ijassa-2030	60	43	≥	≥	NOUN
ijassa-2030	60	44	0	0	PUNCT
ijassa-2030	61	1	(	(	PUNCT
ijassa-2030	61	2	𝑖	𝑖	SYM
ijassa-2030	61	3	=	=	SYM
ijassa-2030	61	4	1	1	NUM
ijassa-2030	61	5	,	,	PUNCT
ijassa-2030	61	6	…	…	PUNCT
ijassa-2030	61	7	,	,	PUNCT
ijassa-2030	61	8	𝑚	𝑚	NOUN
ijassa-2030	61	9	)	)	PUNCT
ijassa-2030	61	10	,	,	PUNCT
ijassa-2030	61	11	𝑥	𝑥	PROPN
ijassa-2030	61	12	+	+	SYM
ijassa-2030	61	13	⋯	⋯	VERB
ijassa-2030	61	14	+	+	CCONJ
ijassa-2030	61	15	𝑥	𝑥	NOUN
ijassa-2030	61	16	=	=	SYM
ijassa-2030	61	17	1	1	NUM
ijassa-2030	61	18	}	}	PUNCT
ijassa-2030	61	19	(	(	PUNCT
ijassa-2030	61	20	2	2	X
ijassa-2030	61	21	)	)	PUNCT
ijassa-2030	61	22	is	be	AUX
ijassa-2030	61	23	the	the	DET
ijassa-2030	61	24	set	set	NOUN
ijassa-2030	61	25	of	of	ADP
ijassa-2030	61	26	dm	dm	NOUN
ijassa-2030	61	27	's	's	PART
ijassa-2030	61	28	strategies	strategy	NOUN
ijassa-2030	61	29	whose	whose	DET
ijassa-2030	61	30	components	component	NOUN
ijassa-2030	61	31	are	be	AUX
ijassa-2030	61	32	non	non	ADJ
ijassa-2030	61	33	-	-	ADJ
ijassa-2030	61	34	negative	negative	ADJ
ijassa-2030	61	35	and	and	CCONJ
ijassa-2030	61	36	satisfy	satisfy	VERB
ijassa-2030	61	37	the	the	DET
ijassa-2030	61	38	budget	budget	NOUN
ijassa-2030	61	39	constraint	constraint	NOUN
ijassa-2030	61	40	(	(	PUNCT
ijassa-2030	61	41	canonical	canonical	ADJ
ijassa-2030	61	42	simplex	simplex	NOUN
ijassa-2030	61	43	in	in	ADP
ijassa-2030	61	44	𝑚-dimensional	𝑚-dimensional	ADJ
ijassa-2030	61	45	space	space	NOUN
ijassa-2030	61	46	)	)	PUNCT
ijassa-2030	61	47	,	,	PUNCT
ijassa-2030	61	48	𝑌	𝑌	PROPN
ijassa-2030	61	49	=	=	SYM
ijassa-2030	61	50	𝑦	𝑦	SYM
ijassa-2030	61	51	=	=	SYM
ijassa-2030	61	52	(	(	PUNCT
ijassa-2030	61	53	𝑦	𝑦	NOUN
ijassa-2030	61	54	,	,	PUNCT
ijassa-2030	61	55	…	…	PUNCT
ijassa-2030	61	56	,	,	PUNCT
ijassa-2030	61	57	𝑦	𝑦	NOUN
ijassa-2030	61	58	):	):	PUNCT
ijassa-2030	61	59	0	0	NUM
ijassa-2030	61	60	≤	≤	NUM
ijassa-2030	61	61	𝑎	𝑎	PRON
ijassa-2030	61	62	≤	≤	NUM
ijassa-2030	61	63	𝑦	𝑦	NOUN
ijassa-2030	61	64	≤	≤	NOUN
ijassa-2030	61	65	𝑏	𝑏	NOUN
ijassa-2030	61	66	,	,	PUNCT
ijassa-2030	61	67	(	(	PUNCT
ijassa-2030	61	68	𝑗	𝑗	NOUN
ijassa-2030	61	69	=	=	SYM
ijassa-2030	61	70	1	1	NUM
ijassa-2030	61	71	,	,	PUNCT
ijassa-2030	61	72	…	…	PUNCT
ijassa-2030	61	73	,	,	PUNCT
ijassa-2030	61	74	𝑛	𝑛	X
ijassa-2030	61	75	)	)	PUNCT
ijassa-2030	61	76	(	(	PUNCT
ijassa-2030	61	77	3	3	X
ijassa-2030	61	78	)	)	PUNCT
ijassa-2030	61	79	is	be	AUX
ijassa-2030	61	80	the	the	DET
ijassa-2030	61	81	set	set	NOUN
ijassa-2030	61	82	of	of	ADP
ijassa-2030	61	83	possible	possible	ADJ
ijassa-2030	61	84	states	state	NOUN
ijassa-2030	61	85	of	of	ADP
ijassa-2030	61	86	uncertainty	uncertainty	NOUN
ijassa-2030	61	87	(	(	PUNCT
ijassa-2030	61	88	a	a	DET
ijassa-2030	61	89	parallelepiped	parallelepipe	VERB
ijassa-2030	61	90	in	in	ADP
ijassa-2030	61	91	𝑛-dimensional	𝑛-dimensional	ADJ
ijassa-2030	61	92	space	space	NOUN
ijassa-2030	61	93	given	give	VERB
ijassa-2030	61	94	by	by	ADP
ijassa-2030	61	95	interval	interval	NOUN
ijassa-2030	61	96	boundaries	boundary	NOUN
ijassa-2030	61	97	of	of	ADP
ijassa-2030	61	98	uncertain	uncertain	ADJ
ijassa-2030	61	99	factors	factor	NOUN
ijassa-2030	61	100	)	)	PUNCT
ijassa-2030	61	101	.	.	PUNCT
ijassa-2030	62	1	the	the	DET
ijassa-2030	62	2	coefficients	coefficient	NOUN
ijassa-2030	62	3	𝑐	𝑐	NOUN
ijassa-2030	62	4	have	have	VERB
ijassa-2030	62	5	the	the	DET
ijassa-2030	62	6	sense	sense	NOUN
ijassa-2030	62	7	of	of	ADP
ijassa-2030	62	8	income	income	NOUN
ijassa-2030	62	9	at	at	ADP
ijassa-2030	62	10	full	full	ADJ
ijassa-2030	62	11	utilization	utilization	NOUN
ijassa-2030	62	12	of	of	ADP
ijassa-2030	62	13	a	a	DET
ijassa-2030	62	14	resource	resource	NOUN
ijassa-2030	62	15	unit	unit	NOUN
ijassa-2030	62	16	only	only	ADV
ijassa-2030	62	17	for	for	ADP
ijassa-2030	62	18	the	the	DET
ijassa-2030	62	19	i	i	PROPN
ijassa-2030	62	20	-	-	PUNCT
ijassa-2030	62	21	th	th	VERB
ijassa-2030	62	22	activity	activity	NOUN
ijassa-2030	62	23	under	under	ADP
ijassa-2030	62	24	conditions	condition	NOUN
ijassa-2030	62	25	when	when	SCONJ
ijassa-2030	62	26	the	the	DET
ijassa-2030	62	27	uncertainty	uncertainty	NOUN
ijassa-2030	62	28	vector	vector	NOUN
ijassa-2030	62	29	has	have	VERB
ijassa-2030	62	30	the	the	DET
ijassa-2030	62	31	form	form	NOUN
ijassa-2030	62	32	𝑦	𝑦	NOUN
ijassa-2030	62	33	=	=	SYM
ijassa-2030	62	34	(	(	PUNCT
ijassa-2030	62	35	0	0	NUM
ijassa-2030	62	36	,	,	PUNCT
ijassa-2030	62	37	…	…	PUNCT
ijassa-2030	62	38	,	,	PUNCT
ijassa-2030	62	39	𝑦	𝑦	NOUN
ijassa-2030	62	40	=	=	SYM
ijassa-2030	62	41	1	1	NUM
ijassa-2030	62	42	,	,	PUNCT
ijassa-2030	62	43	…	…	PUNCT
ijassa-2030	62	44	,	,	PUNCT
ijassa-2030	62	45	0	0	NUM
ijassa-2030	62	46	)	)	PUNCT
ijassa-2030	62	47	the	the	DET
ijassa-2030	62	48	upper	upper	ADJ
ijassa-2030	62	49	and	and	CCONJ
ijassa-2030	62	50	lower	low	ADJ
ijassa-2030	62	51	bounds	bound	NOUN
ijassa-2030	62	52	of	of	ADP
ijassa-2030	62	53	the	the	DET
ijassa-2030	62	54	possible	possible	ADJ
ijassa-2030	62	55	values	value	NOUN
ijassa-2030	62	56	of	of	ADP
ijassa-2030	62	57	the	the	DET
ijassa-2030	62	58	uncertain	uncertain	ADJ
ijassa-2030	62	59	parameters	parameter	NOUN
ijassa-2030	62	60	𝑎	𝑎	X
ijassa-2030	62	61	,	,	PUNCT
ijassa-2030	62	62	𝑏	𝑏	PROPN
ijassa-2030	62	63	(	(	PUNCT
ijassa-2030	62	64	j=	j=	NOUN
ijassa-2030	62	65	1,	1,	NUM
ijassa-2030	62	66	...	...	PUNCT
ijassa-2030	62	67	,n	,n	NOUN
ijassa-2030	62	68	)	)	PUNCT
ijassa-2030	62	69	are	be	AUX
ijassa-2030	62	70	assumed	assume	VERB
ijassa-2030	62	71	to	to	PART
ijassa-2030	62	72	be	be	AUX
ijassa-2030	62	73	known	know	VERB
ijassa-2030	62	74	.	.	PUNCT
ijassa-2030	63	1	by	by	ADP
ijassa-2030	63	2	virtue	virtue	NOUN
ijassa-2030	63	3	of	of	ADP
ijassa-2030	63	4	compactness	compactness	NOUN
ijassa-2030	63	5	of	of	ADP
ijassa-2030	63	6	the	the	DET
ijassa-2030	63	7	sets	set	NOUN
ijassa-2030	63	8	𝑋	𝑋	NOUN
ijassa-2030	63	9	and	and	CCONJ
ijassa-2030	63	10	𝑌	𝑌	PROPN
ijassa-2030	63	11	and	and	CCONJ
ijassa-2030	63	12	continuity	continuity	NOUN
ijassa-2030	63	13	of	of	ADP
ijassa-2030	63	14	the	the	DET
ijassa-2030	63	15	function𝑓(𝑥	function𝑓(𝑥	PROPN
ijassa-2030	63	16	,	,	PUNCT
ijassa-2030	63	17	𝑦	𝑦	NOUN
ijassa-2030	63	18	)	)	PUNCT
ijassa-2030	63	19	,	,	PUNCT
ijassa-2030	63	20	minima	minima	NOUN
ijassa-2030	63	21	and	and	CCONJ
ijassa-2030	63	22	maxima	maxima	NOUN
ijassa-2030	63	23	occurring	occur	VERB
ijassa-2030	63	24	further	far	ADV
ijassa-2030	63	25	exist	exist	VERB
ijassa-2030	63	26	[	[	X
ijassa-2030	63	27	9	9	NUM
ijassa-2030	63	28	]	]	PUNCT
ijassa-2030	63	29	.	.	PUNCT
ijassa-2030	64	1	the	the	DET
ijassa-2030	64	2	problem	problem	NOUN
ijassa-2030	64	3	is	be	AUX
ijassa-2030	64	4	to	to	PART
ijassa-2030	64	5	find	find	VERB
ijassa-2030	64	6	strategies	strategy	NOUN
ijassa-2030	64	7	that	that	PRON
ijassa-2030	64	8	are	be	AUX
ijassa-2030	64	9	either	either	CCONJ
ijassa-2030	64	10	waldor	waldor	ADJ
ijassa-2030	64	11	savage	savage	NOUN
ijassa-2030	64	12	-	-	PUNCT
ijassa-2030	64	13	optimal	optimal	ADJ
ijassa-2030	64	14	.	.	PUNCT
ijassa-2030	65	1	in	in	ADP
ijassa-2030	65	2	the	the	DET
ijassa-2030	65	3	first	first	ADJ
ijassa-2030	65	4	case	case	NOUN
ijassa-2030	65	5	,	,	PUNCT
ijassa-2030	65	6	it	it	PRON
ijassa-2030	65	7	is	be	AUX
ijassa-2030	65	8	about	about	ADP
ijassa-2030	65	9	maximizing	maximize	VERB
ijassa-2030	65	10	guaranteed	guarantee	VERB
ijassa-2030	65	11	income	income	NOUN
ijassa-2030	65	12	𝑓[𝑥	𝑓[𝑥	NOUN
ijassa-2030	65	13	]	]	X
ijassa-2030	65	14	=	=	SYM
ijassa-2030	65	15	min	min	NOUN
ijassa-2030	65	16	∈	∈	PROPN
ijassa-2030	65	17	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	65	18	,	,	PUNCT
ijassa-2030	65	19	𝑦	𝑦	NOUN
ijassa-2030	65	20	)	)	PUNCT
ijassa-2030	65	21	=	=	SYM
ijassa-2030	65	22	min	min	NOUN
ijassa-2030	65	23	∈	∈	PROPN
ijassa-2030	65	24	𝑐	𝑐	NOUN
ijassa-2030	65	25	𝑥	𝑥	PRON
ijassa-2030	65	26	𝑦	𝑦	PROPN
ijassa-2030	65	27	(	(	PUNCT
ijassa-2030	65	28	4	4	NUM
ijassa-2030	65	29	)	)	PUNCT
ijassa-2030	65	30	on	on	ADP
ijassa-2030	65	31	the	the	DET
ijassa-2030	65	32	set	set	NOUN
ijassa-2030	65	33	of	of	ADP
ijassa-2030	65	34	the	the	DET
ijassa-2030	65	35	strategies	strategy	NOUN
ijassa-2030	65	36	𝑋	𝑋	NOUN
ijassa-2030	65	37	(	(	PUNCT
ijassa-2030	65	38	risk	risk	NOUN
ijassa-2030	65	39	is	be	AUX
ijassa-2030	65	40	excluded	exclude	VERB
ijassa-2030	65	41	)	)	PUNCT
ijassa-2030	65	42	.	.	PUNCT
ijassa-2030	66	1	let	let	VERB
ijassa-2030	66	2	us	we	PRON
ijassa-2030	66	3	rewrite	rewrite	VERB
ijassa-2030	66	4	the	the	DET
ijassa-2030	66	5	guaranteed	guarantee	VERB
ijassa-2030	66	6	income	income	NOUN
ijassa-2030	66	7	function	function	NOUN
ijassa-2030	66	8	in	in	ADP
ijassa-2030	66	9	the	the	DET
ijassa-2030	66	10	form	form	NOUN
ijassa-2030	66	11	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	66	12	]	]	X
ijassa-2030	66	13	=	=	SYM
ijassa-2030	66	14	min	min	NOUN
ijassa-2030	66	15	∈	∈	PROPN
ijassa-2030	66	16	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	66	17	,	,	PUNCT
ijassa-2030	66	18	𝑦	𝑦	NOUN
ijassa-2030	66	19	)	)	PUNCT
ijassa-2030	66	20	=	=	SYM
ijassa-2030	67	1	min	min	NOUN
ijassa-2030	67	2	∈	∈	PROPN
ijassa-2030	67	3	𝑐	𝑐	PROPN
ijassa-2030	67	4	𝑦	𝑦	NOUN
ijassa-2030	67	5	𝑥	𝑥	PROPN
ijassa-2030	67	6	.	.	PUNCT
ijassa-2030	68	1	(	(	PUNCT
ijassa-2030	68	2	5	5	NUM
ijassa-2030	68	3	)	)	PUNCT
ijassa-2030	68	4	since	since	SCONJ
ijassa-2030	68	5	by	by	ADP
ijassa-2030	68	6	assumption	assumption	NOUN
ijassa-2030	68	7	𝑐	𝑐	PROPN
ijassa-2030	68	8	≥	≥	NUM
ijassa-2030	68	9	0	0	NUM
ijassa-2030	68	10	,	,	PUNCT
ijassa-2030	68	11	the	the	DET
ijassa-2030	68	12	minima	minima	NOUN
ijassa-2030	68	13	of	of	ADP
ijassa-2030	68	14	the	the	DET
ijassa-2030	68	15	expressions	expression	NOUN
ijassa-2030	68	16	in	in	ADP
ijassa-2030	68	17	the	the	DET
ijassa-2030	68	18	last	last	ADJ
ijassa-2030	68	19	brackets	bracket	NOUN
ijassa-2030	68	20	in	in	ADP
ijassa-2030	68	21	formula	formula	NOUN
ijassa-2030	68	22	(	(	PUNCT
ijassa-2030	68	23	5	5	NUM
ijassa-2030	68	24	)	)	PUNCT
ijassa-2030	68	25	are	be	AUX
ijassa-2030	68	26	reached	reach	VERB
ijassa-2030	68	27	at	at	ADP
ijassa-2030	68	28	𝑦	𝑦	NOUN
ijassa-2030	68	29	=	=	SYM
ijassa-2030	68	30	𝑎	𝑎	X
ijassa-2030	68	31	(	(	PUNCT
ijassa-2030	68	32	j=1,	j=1,	NOUN
ijassa-2030	68	33	...	...	PUNCT
ijassa-2030	68	34	,n	,n	NUM
ijassa-2030	68	35	)	)	PUNCT
ijassa-2030	68	36	.	.	PUNCT
ijassa-2030	69	1	therefore	therefore	ADV
ijassa-2030	69	2	,	,	PUNCT
ijassa-2030	69	3	taking	take	VERB
ijassa-2030	69	4	into	into	ADP
ijassa-2030	69	5	account	account	NOUN
ijassa-2030	69	6	the	the	DET
ijassa-2030	69	7	non	non	ADJ
ijassa-2030	69	8	-	-	NOUN
ijassa-2030	69	9	negativity	negativity	NOUN
ijassa-2030	69	10	of	of	ADP
ijassa-2030	69	11	variables	variable	NOUN
ijassa-2030	69	12	𝑥	𝑥	X
ijassa-2030	69	13	,	,	PUNCT
ijassa-2030	69	14	the	the	DET
ijassa-2030	69	15	guaranteed	guarantee	VERB
ijassa-2030	69	16	income	income	NOUN
ijassa-2030	69	17	is	be	AUX
ijassa-2030	69	18	a	a	DET
ijassa-2030	69	19	linear	linear	ADJ
ijassa-2030	69	20	function	function	NOUN
ijassa-2030	69	21	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	69	22	]	]	X
ijassa-2030	69	23	=	=	SYM
ijassa-2030	69	24	min	min	PROPN
ijassa-2030	69	25	∈	∈	PROPN
ijassa-2030	69	26	𝑐	𝑐	NOUN
ijassa-2030	69	27	𝑎	𝑎	NOUN
ijassa-2030	69	28	𝑥	𝑥	NOUN
ijassa-2030	69	29	=	=	X
ijassa-2030	69	30	𝑑	𝑑	NOUN
ijassa-2030	69	31	𝑥	𝑥	X
ijassa-2030	69	32	,	,	PUNCT
ijassa-2030	69	33	(	(	PUNCT
ijassa-2030	69	34	6	6	NUM
ijassa-2030	69	35	)	)	PUNCT
ijassa-2030	69	36	where	where	SCONJ
ijassa-2030	69	37	𝑑	𝑑	NOUN
ijassa-2030	69	38	=	=	X
ijassa-2030	69	39	∑	∑	PUNCT
ijassa-2030	69	40	𝑐	𝑐	PROPN
ijassa-2030	69	41	𝑎	𝑎	X
ijassa-2030	69	42	.	.	PUNCT
ijassa-2030	70	1	let	let	VERB
ijassa-2030	70	2	𝑑	𝑑	PRON
ijassa-2030	70	3	=	=	VERB
ijassa-2030	70	4	max	max	PROPN
ijassa-2030	70	5	𝑑	𝑑	PROPN
ijassa-2030	70	6	.	.	PUNCT
ijassa-2030	71	1	then	then	ADV
ijassa-2030	71	2	the	the	DET
ijassa-2030	71	3	optimal	optimal	ADJ
ijassa-2030	71	4	(	(	PUNCT
ijassa-2030	71	5	maximal	maximal	ADJ
ijassa-2030	71	6	)	)	PUNCT
ijassa-2030	71	7	guaranteed	guarantee	VERB
ijassa-2030	71	8	revenue	revenue	NOUN
ijassa-2030	71	9	𝑓	𝑓	PROPN
ijassa-2030	71	10	=	=	X
ijassa-2030	71	11	d	d	NOUN
ijassa-2030	71	12	is	be	AUX
ijassa-2030	71	13	attained	attain	VERB
ijassa-2030	71	14	for	for	ADP
ijassa-2030	71	15	any	any	DET
ijassa-2030	71	16	dm	dm	PROPN
ijassa-2030	71	17	strategy	strategy	NOUN
ijassa-2030	71	18	𝑥	𝑥	NOUN
ijassa-2030	71	19	with	with	ADP
ijassa-2030	71	20	arbitrary	arbitrary	ADJ
ijassa-2030	71	21	full	full	ADJ
ijassa-2030	71	22	allocation	allocation	NOUN
ijassa-2030	71	23	of	of	ADP
ijassa-2030	71	24	the	the	DET
ijassa-2030	71	25	unit	unit	NOUN
ijassa-2030	71	26	of	of	ADP
ijassa-2030	71	27	resource	resource	NOUN
ijassa-2030	71	28	to	to	ADP
ijassa-2030	71	29	the	the	DET
ijassa-2030	71	30	activities	activity	NOUN
ijassa-2030	71	31	with	with	ADP
ijassa-2030	71	32	𝑑	𝑑	NOUN
ijassa-2030	71	33	=	=	PUNCT
ijassa-2030	71	34	𝑑.	𝑑.	NOUN
ijassa-2030	71	35	the	the	DET
ijassa-2030	71	36	problem	problem	NOUN
ijassa-2030	71	37	of	of	ADP
ijassa-2030	71	38	savage	savage	ADJ
ijassa-2030	71	39	risk	risk	NOUN
ijassa-2030	71	40	optimality	optimality	NOUN
ijassa-2030	71	41	is	be	AUX
ijassa-2030	71	42	more	more	ADV
ijassa-2030	71	43	complicated	complicated	ADJ
ijassa-2030	71	44	.	.	PUNCT
ijassa-2030	72	1	here	here	ADV
ijassa-2030	72	2	the	the	DET
ijassa-2030	72	3	basic	basic	ADJ
ijassa-2030	72	4	concept	concept	NOUN
ijassa-2030	72	5	of	of	ADP
ijassa-2030	72	6	risk	risk	NOUN
ijassa-2030	72	7	function	function	NOUN
ijassa-2030	72	8	(	(	PUNCT
ijassa-2030	72	9	regret	regret	NOUN
ijassa-2030	72	10	function	function	NOUN
ijassa-2030	72	11	or	or	CCONJ
ijassa-2030	72	12	loss	loss	NOUN
ijassa-2030	72	13	function	function	NOUN
ijassa-2030	72	14	)	)	PUNCT
ijassa-2030	72	15	,	,	PUNCT
ijassa-2030	72	16	defined	define	VERB
ijassa-2030	72	17	by	by	ADP
ijassa-2030	72	18	the	the	DET
ijassa-2030	72	19	formula	formula	NOUN
ijassa-2030	72	20	φ(𝑥	φ(𝑥	PROPN
ijassa-2030	72	21	,	,	PUNCT
ijassa-2030	72	22	𝑦	𝑦	NOUN
ijassa-2030	72	23	)	)	PUNCT
ijassa-2030	72	24	=	=	SYM
ijassa-2030	72	25	max	max	PROPN
ijassa-2030	72	26	∈	∈	PROPN
ijassa-2030	72	27	𝑓	𝑓	PROPN
ijassa-2030	72	28	(	(	PUNCT
ijassa-2030	72	29	𝑧	𝑧	PROPN
ijassa-2030	72	30	,	,	PUNCT
ijassa-2030	72	31	𝑦	𝑦	NOUN
ijassa-2030	72	32	)	)	PUNCT
ijassa-2030	72	33	−	−	NOUN
ijassa-2030	72	34	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	72	35	,	,	PUNCT
ijassa-2030	72	36	𝑦	𝑦	NOUN
ijassa-2030	72	37	)	)	PUNCT
ijassa-2030	72	38	.	.	PUNCT
ijassa-2030	73	1	(	(	PUNCT
ijassa-2030	73	2	7	7	X
ijassa-2030	73	3	)	)	PUNCT
ijassa-2030	73	4	it	it	PRON
ijassa-2030	73	5	means	mean	VERB
ijassa-2030	73	6	the	the	DET
ijassa-2030	73	7	loss	loss	NOUN
ijassa-2030	73	8	of	of	ADP
ijassa-2030	73	9	income	income	NOUN
ijassa-2030	73	10	due	due	ADP
ijassa-2030	73	11	to	to	ADP
ijassa-2030	73	12	incomplete	incomplete	ADJ
ijassa-2030	73	13	information	information	NOUN
ijassa-2030	73	14	as	as	ADP
ijassa-2030	73	15	the	the	DET
ijassa-2030	73	16	difference	difference	NOUN
ijassa-2030	73	17	between	between	ADP
ijassa-2030	73	18	the	the	DET
ijassa-2030	73	19	best	good	ADJ
ijassa-2030	73	20	outcome	outcome	NOUN
ijassa-2030	73	21	that	that	PRON
ijassa-2030	73	22	could	could	AUX
ijassa-2030	73	23	have	have	AUX
ijassa-2030	73	24	been	be	AUX
ijassa-2030	73	25	obtained	obtain	VERB
ijassa-2030	73	26	with	with	ADP
ijassa-2030	73	27	a	a	DET
ijassa-2030	73	28	known	know	VERB
ijassa-2030	73	29	forward	forward	ADJ
ijassa-2030	73	30	uncertainty	uncertainty	NOUN
ijassa-2030	73	31	value	value	NOUN
ijassa-2030	73	32	and	and	CCONJ
ijassa-2030	73	33	the	the	DET
ijassa-2030	73	34	actual	actual	ADJ
ijassa-2030	73	35	outcome	outcome	NOUN
ijassa-2030	73	36	when	when	SCONJ
ijassa-2030	73	37	the	the	DET
ijassa-2030	73	38	strategy	strategy	NOUN
ijassa-2030	73	39	𝑥	𝑥	NOUN
ijassa-2030	73	40	is	be	AUX
ijassa-2030	73	41	chosen	choose	VERB
ijassa-2030	73	42	.	.	PUNCT
ijassa-2030	74	1	the	the	DET
ijassa-2030	74	2	concept	concept	NOUN
ijassa-2030	74	3	of	of	ADP
ijassa-2030	74	4	the	the	DET
ijassa-2030	74	5	best	well	ADV
ijassa-2030	74	6	-	-	PUNCT
ijassa-2030	74	7	guaranteed	guarantee	VERB
ijassa-2030	74	8	outcome	outcome	NOUN
ijassa-2030	74	9	can	can	AUX
ijassa-2030	74	10	also	also	ADV
ijassa-2030	74	11	be	be	AUX
ijassa-2030	74	12	applied	apply	VERB
ijassa-2030	74	13	to	to	ADP
ijassa-2030	74	14	this	this	DET
ijassa-2030	74	15	secondary	secondary	ADJ
ijassa-2030	74	16	indicator	indicator	NOUN
ijassa-2030	74	17	according	accord	VERB
ijassa-2030	74	18	to	to	ADP
ijassa-2030	74	19	the	the	DET
ijassa-2030	74	20	following	follow	VERB
ijassa-2030	74	21	definition	definition	NOUN
ijassa-2030	74	22	.	.	PUNCT
ijassa-2030	75	1	v.s.	v.s.	ADJ
ijassa-2030	75	2	molostvov	molostvov	VERB
ijassa-2030	75	3	4	4	NUM
ijassa-2030	75	4	copyright	copyright	NOUN
ijassa-2030	75	5	©	©	PROPN
ijassa-2030	75	6	2025	2025	NUM
ijassa-2030	75	7	assa	assa	PROPN
ijassa-2030	75	8	adv	adv	PROPN
ijassa-2030	75	9	.	.	PUNCT
ijassa-2030	76	1	in	in	ADP
ijassa-2030	76	2	systems	system	NOUN
ijassa-2030	76	3	science	science	NOUN
ijassa-2030	76	4	and	and	CCONJ
ijassa-2030	76	5	appl	appl	NOUN
ijassa-2030	76	6	.	.	PUNCT
ijassa-2030	77	1	(	(	PUNCT
ijassa-2030	77	2	2025	2025	NUM
ijassa-2030	77	3	)	)	PUNCT
ijassa-2030	77	4	definition	definition	NOUN
ijassa-2030	77	5	1	1	NUM
ijassa-2030	77	6	:	:	PUNCT
ijassa-2030	77	7	an	an	DET
ijassa-2030	77	8	admissible	admissible	ADJ
ijassa-2030	77	9	solution	solution	NOUN
ijassa-2030	77	10	𝑥	𝑥	PRON
ijassa-2030	77	11	∈	∈	NOUN
ijassa-2030	77	12	𝑋	𝑋	NOUN
ijassa-2030	77	13	is	be	AUX
ijassa-2030	77	14	called	call	VERB
ijassa-2030	77	15	a	a	DET
ijassa-2030	77	16	risk	risk	NOUN
ijassa-2030	77	17	-	-	PUNCT
ijassa-2030	77	18	guaranteed	guarantee	VERB
ijassa-2030	77	19	optimal	optimal	ADJ
ijassa-2030	77	20	solution	solution	NOUN
ijassa-2030	77	21	if	if	SCONJ
ijassa-2030	77	22	it	it	PRON
ijassa-2030	77	23	delivers	deliver	VERB
ijassa-2030	77	24	a	a	DET
ijassa-2030	77	25	minimum	minimum	ADJ
ijassa-2030	77	26	guaranteed	guarantee	VERB
ijassa-2030	77	27	risk	risk	NOUN
ijassa-2030	77	28	:	:	PUNCT
ijassa-2030	77	29	min	min	PROPN
ijassa-2030	77	30	∈	∈	PROPN
ijassa-2030	77	31	max	max	PROPN
ijassa-2030	77	32	∈	∈	PROPN
ijassa-2030	77	33	φ(𝑥	φ(𝑥	PROPN
ijassa-2030	77	34	,	,	PUNCT
ijassa-2030	77	35	𝑦	𝑦	NOUN
ijassa-2030	77	36	)	)	PUNCT
ijassa-2030	77	37	=	=	SYM
ijassa-2030	77	38	max	max	PROPN
ijassa-2030	77	39	∈	∈	PROPN
ijassa-2030	77	40	φ(𝑥	φ(𝑥	PROPN
ijassa-2030	77	41	,	,	PUNCT
ijassa-2030	77	42	𝑦	𝑦	X
ijassa-2030	77	43	)	)	PUNCT
ijassa-2030	77	44	=	=	SYM
ijassa-2030	77	45	φ	φ	PROPN
ijassa-2030	77	46	,	,	PUNCT
ijassa-2030	77	47	(	(	PUNCT
ijassa-2030	77	48	8)	8)	NUM
ijassa-2030	77	49	where	where	SCONJ
ijassa-2030	77	50	max	max	PROPN
ijassa-2030	77	51	∈	∈	PROPN
ijassa-2030	77	52	φ(𝑥	φ(𝑥	PROPN
ijassa-2030	77	53	,	,	PUNCT
ijassa-2030	77	54	𝑦	𝑦	X
ijassa-2030	77	55	)	)	PUNCT
ijassa-2030	77	56	is	be	AUX
ijassa-2030	77	57	the	the	DET
ijassa-2030	77	58	guaranteed	guarantee	VERB
ijassa-2030	77	59	risk	risk	NOUN
ijassa-2030	77	60	to	to	ADP
ijassa-2030	77	61	the	the	DET
ijassa-2030	77	62	dm	dm	NOUN
ijassa-2030	77	63	when	when	SCONJ
ijassa-2030	77	64	he	he	PRON
ijassa-2030	77	65	uses	use	VERB
ijassa-2030	77	66	the	the	DET
ijassa-2030	77	67	strategy	strategy	NOUN
ijassa-2030	77	68	𝑥	𝑥	PRON
ijassa-2030	77	69	∈	∈	PROPN
ijassa-2030	77	70	𝑋.	𝑋.	PROPN
ijassa-2030	77	71	let	let	VERB
ijassa-2030	77	72	us	we	PRON
ijassa-2030	77	73	call	call	VERB
ijassa-2030	77	74	the	the	DET
ijassa-2030	77	75	value	value	NOUN
ijassa-2030	77	76	𝛷	𝛷	NOUN
ijassa-2030	77	77	the	the	DET
ijassa-2030	77	78	optimal	optimal	ADJ
ijassa-2030	77	79	guaranteed	guarantee	VERB
ijassa-2030	77	80	risk	risk	NOUN
ijassa-2030	77	81	.	.	PUNCT
ijassa-2030	78	1	for	for	ADP
ijassa-2030	78	2	brevity	brevity	NOUN
ijassa-2030	78	3	,	,	PUNCT
ijassa-2030	78	4	we	we	PRON
ijassa-2030	78	5	will	will	AUX
ijassa-2030	78	6	also	also	ADV
ijassa-2030	78	7	speak	speak	VERB
ijassa-2030	78	8	in	in	ADP
ijassa-2030	78	9	this	this	DET
ijassa-2030	78	10	case	case	NOUN
ijassa-2030	78	11	of	of	ADP
ijassa-2030	78	12	risk	risk	NOUN
ijassa-2030	78	13	and	and	CCONJ
ijassa-2030	78	14	savage	savage	ADJ
ijassa-2030	78	15	-	-	PUNCT
ijassa-2030	78	16	optimal	optimal	ADJ
ijassa-2030	78	17	solutions	solution	NOUN
ijassa-2030	78	18	.	.	PUNCT
ijassa-2030	79	1	the	the	DET
ijassa-2030	79	2	above	above	ADJ
ijassa-2030	79	3	definition	definition	NOUN
ijassa-2030	79	4	applies	apply	VERB
ijassa-2030	79	5	to	to	ADP
ijassa-2030	79	6	arbitrary	arbitrary	ADJ
ijassa-2030	79	7	income	income	NOUN
ijassa-2030	79	8	function𝑓(𝑥	function𝑓(𝑥	PROPN
ijassa-2030	79	9	,	,	PUNCT
ijassa-2030	79	10	𝑦	𝑦	NOUN
ijassa-2030	79	11	)	)	PUNCT
ijassa-2030	79	12	,	,	PUNCT
ijassa-2030	79	13	the	the	DET
ijassa-2030	79	14	set	set	NOUN
ijassa-2030	79	15	of	of	ADP
ijassa-2030	79	16	dm	dm	PROPN
ijassa-2030	79	17	’s	’s	PART
ijassa-2030	79	18	strategies	strategy	NOUN
ijassa-2030	79	19	𝑋	𝑋	NOUN
ijassa-2030	79	20	and	and	CCONJ
ijassa-2030	79	21	the	the	DET
ijassa-2030	79	22	set	set	NOUN
ijassa-2030	79	23	of	of	ADP
ijassa-2030	79	24	possible	possible	ADJ
ijassa-2030	79	25	values	value	NOUN
ijassa-2030	79	26	of	of	ADP
ijassa-2030	79	27	uncertainty	uncertainty	NOUN
ijassa-2030	79	28	𝑌.	𝑌.	PROPN
ijassa-2030	79	29	the	the	DET
ijassa-2030	79	30	considered	consider	VERB
ijassa-2030	79	31	bilinear	bilinear	NOUN
ijassa-2030	79	32	income	income	NOUN
ijassa-2030	79	33	functions	function	NOUN
ijassa-2030	79	34	of	of	ADP
ijassa-2030	79	35	the	the	DET
ijassa-2030	79	36	form	form	NOUN
ijassa-2030	79	37	(	(	PUNCT
ijassa-2030	79	38	1	1	X
ijassa-2030	79	39	)	)	PUNCT
ijassa-2030	79	40	are	be	AUX
ijassa-2030	79	41	linear	linear	ADJ
ijassa-2030	79	42	by	by	ADP
ijassa-2030	79	43	𝑥	𝑥	PROPN
ijassa-2030	79	44	at	at	ADP
ijassa-2030	79	45	each	each	DET
ijassa-2030	79	46	fixed	fix	VERB
ijassa-2030	79	47	𝑦	𝑦	NOUN
ijassa-2030	79	48	and	and	CCONJ
ijassa-2030	79	49	linear	linear	ADJ
ijassa-2030	79	50	by	by	ADP
ijassa-2030	79	51	𝑦	𝑦	NOUN
ijassa-2030	79	52	at	at	ADP
ijassa-2030	79	53	each	each	DET
ijassa-2030	79	54	fixed	fix	VERB
ijassa-2030	79	55	𝑥	𝑥	NOUN
ijassa-2030	79	56	,	,	PUNCT
ijassa-2030	79	57	hence	hence	ADV
ijassa-2030	79	58	continuous	continuous	ADJ
ijassa-2030	79	59	over	over	ADP
ijassa-2030	79	60	the	the	DET
ijassa-2030	79	61	set	set	NOUN
ijassa-2030	79	62	of	of	ADP
ijassa-2030	79	63	variables	variable	NOUN
ijassa-2030	79	64	.	.	PUNCT
ijassa-2030	80	1	the	the	DET
ijassa-2030	80	2	sets	set	NOUN
ijassa-2030	80	3	of	of	ADP
ijassa-2030	80	4	strategies	strategy	NOUN
ijassa-2030	80	5	𝑋	𝑋	NOUN
ijassa-2030	80	6	and	and	CCONJ
ijassa-2030	80	7	uncertainties	uncertainty	NOUN
ijassa-2030	80	8	𝑌	𝑌	PROPN
ijassa-2030	80	9	are	be	AUX
ijassa-2030	80	10	polyhedra	polyhedra	ADJ
ijassa-2030	80	11	,	,	PUNCT
ijassa-2030	80	12	hence	hence	ADV
ijassa-2030	80	13	compact	compact	ADJ
ijassa-2030	80	14	.	.	PUNCT
ijassa-2030	81	1	therefore	therefore	ADV
ijassa-2030	81	2	,	,	PUNCT
ijassa-2030	81	3	all	all	DET
ijassa-2030	81	4	maxima	maxima	NOUN
ijassa-2030	81	5	and	and	CCONJ
ijassa-2030	81	6	minima	minima	VERB
ijassa-2030	81	7	in	in	ADP
ijassa-2030	81	8	(	(	PUNCT
ijassa-2030	81	9	8)	8)	NUM
ijassa-2030	81	10	are	be	AUX
ijassa-2030	81	11	attained	attain	VERB
ijassa-2030	81	12	and	and	CCONJ
ijassa-2030	81	13	the	the	DET
ijassa-2030	81	14	optimal	optimal	ADJ
ijassa-2030	81	15	solution	solution	NOUN
ijassa-2030	81	16	and	and	CCONJ
ijassa-2030	81	17	the	the	DET
ijassa-2030	81	18	optimal	optimal	ADJ
ijassa-2030	81	19	risk	risk	NOUN
ijassa-2030	81	20	exist	exist	VERB
ijassa-2030	81	21	.	.	PUNCT
ijassa-2030	82	1	the	the	DET
ijassa-2030	82	2	guaranteed	guarantee	VERB
ijassa-2030	82	3	risk	risk	NOUN
ijassa-2030	82	4	𝛷[𝑥	𝛷[𝑥	NOUN
ijassa-2030	82	5	]	]	PUNCT
ijassa-2030	82	6	=	=	SYM
ijassa-2030	82	7	max	max	PROPN
ijassa-2030	82	8	∈	∈	PROPN
ijassa-2030	82	9	𝛷(𝑥	𝛷(𝑥	PROPN
ijassa-2030	82	10	,	,	PUNCT
ijassa-2030	82	11	𝑦	𝑦	NOUN
ijassa-2030	82	12	)	)	PUNCT
ijassa-2030	82	13	depends	depend	VERB
ijassa-2030	82	14	continuously	continuously	ADV
ijassa-2030	82	15	on	on	ADP
ijassa-2030	82	16	𝑥.	𝑥.	ADJ
ijassa-2030	82	17	4	4	NUM
ijassa-2030	82	18	.	.	PUNCT
ijassa-2030	82	19	savage	savage	ADJ
ijassa-2030	82	20	guaranteed	guarantee	VERB
ijassa-2030	82	21	risk	risk	NOUN
ijassa-2030	82	22	optimization	optimization	NOUN
ijassa-2030	82	23	and	and	CCONJ
ijassa-2030	82	24	goal	goal	NOUN
ijassa-2030	82	25	programming	programming	NOUN
ijassa-2030	82	26	preliminarily	preliminarily	ADV
ijassa-2030	82	27	consider	consider	VERB
ijassa-2030	82	28	the	the	DET
ijassa-2030	82	29	case	case	NOUN
ijassa-2030	82	30	where	where	SCONJ
ijassa-2030	82	31	the	the	DET
ijassa-2030	82	32	dm	dm	PROPN
ijassa-2030	82	33	has	have	VERB
ijassa-2030	82	34	a	a	DET
ijassa-2030	82	35	finite	finite	ADJ
ijassa-2030	82	36	number	number	NOUN
ijassa-2030	82	37	of	of	ADP
ijassa-2030	82	38	strategies	strategy	NOUN
ijassa-2030	82	39	and	and	CCONJ
ijassa-2030	82	40	the	the	DET
ijassa-2030	82	41	uncertainty	uncertainty	NOUN
ijassa-2030	82	42	can	can	AUX
ijassa-2030	82	43	take	take	VERB
ijassa-2030	82	44	a	a	DET
ijassa-2030	82	45	finite	finite	ADJ
ijassa-2030	82	46	number	number	NOUN
ijassa-2030	82	47	of	of	ADP
ijassa-2030	82	48	states	state	NOUN
ijassa-2030	82	49	:	:	PUNCT
ijassa-2030	82	50	𝑋	𝑋	PROPN
ijassa-2030	82	51	=	=	SYM
ijassa-2030	82	52	{	{	PUNCT
ijassa-2030	82	53	𝑢	𝑢	X
ijassa-2030	82	54	,	,	PUNCT
ijassa-2030	82	55	…	…	PUNCT
ijassa-2030	82	56	,	,	PUNCT
ijassa-2030	82	57	𝑢	𝑢	X
ijassa-2030	82	58	}	}	PUNCT
ijassa-2030	82	59	,	,	PUNCT
ijassa-2030	82	60	𝑌	𝑌	PROPN
ijassa-2030	82	61	=	=	SYM
ijassa-2030	82	62	{	{	PUNCT
ijassa-2030	82	63	𝑠	𝑠	PROPN
ijassa-2030	82	64	,	,	PUNCT
ijassa-2030	82	65	…	…	PUNCT
ijassa-2030	82	66	,	,	PUNCT
ijassa-2030	82	67	𝑠	𝑠	PROPN
ijassa-2030	82	68	}	}	PUNCT
ijassa-2030	82	69	.	.	PUNCT
ijassa-2030	83	1	(	(	PUNCT
ijassa-2030	83	2	9	9	NUM
ijassa-2030	83	3	)	)	PUNCT
ijassa-2030	83	4	then	then	ADV
ijassa-2030	83	5	the	the	DET
ijassa-2030	83	6	income	income	NOUN
ijassa-2030	83	7	is	be	AUX
ijassa-2030	83	8	defined	define	VERB
ijassa-2030	83	9	by	by	ADP
ijassa-2030	83	10	the	the	DET
ijassa-2030	83	11	income	income	NOUN
ijassa-2030	83	12	(	(	PUNCT
ijassa-2030	83	13	𝑘	𝑘	PRON
ijassa-2030	83	14	×	×	NOUN
ijassa-2030	83	15	𝑙)-matrix	𝑙)-matrix	PUNCT
ijassa-2030	83	16	𝐶	𝐶	PROPN
ijassa-2030	83	17	=	=	SYM
ijassa-2030	83	18	𝑐	𝑐	PROPN
ijassa-2030	83	19	,	,	PUNCT
ijassa-2030	83	20	whose	whose	DET
ijassa-2030	83	21	element	element	NOUN
ijassa-2030	83	22	𝑐	𝑐	PROPN
ijassa-2030	83	23	is	be	AUX
ijassa-2030	83	24	equal	equal	ADJ
ijassa-2030	83	25	to	to	ADP
ijassa-2030	83	26	the	the	DET
ijassa-2030	83	27	income	income	NOUN
ijassa-2030	83	28	of	of	ADP
ijassa-2030	83	29	the	the	DET
ijassa-2030	83	30	dm	dm	NOUN
ijassa-2030	83	31	when	when	SCONJ
ijassa-2030	83	32	he	he	PRON
ijassa-2030	83	33	chooses	choose	VERB
ijassa-2030	83	34	a	a	DET
ijassa-2030	83	35	strategy	strategy	NOUN
ijassa-2030	83	36	𝑢	𝑢	NOUN
ijassa-2030	83	37	and	and	CCONJ
ijassa-2030	83	38	the	the	DET
ijassa-2030	83	39	uncertainty	uncertainty	NOUN
ijassa-2030	83	40	state	state	NOUN
ijassa-2030	83	41	𝑠	𝑠	PROPN
ijassa-2030	83	42	realizes	realize	VERB
ijassa-2030	83	43	.	.	PUNCT
ijassa-2030	84	1	in	in	ADP
ijassa-2030	84	2	this	this	DET
ijassa-2030	84	3	case	case	NOUN
ijassa-2030	84	4	,	,	PUNCT
ijassa-2030	84	5	finding	find	VERB
ijassa-2030	84	6	the	the	DET
ijassa-2030	84	7	optimal	optimal	ADJ
ijassa-2030	84	8	guaranteed	guarantee	VERB
ijassa-2030	84	9	income	income	NOUN
ijassa-2030	84	10	and	and	CCONJ
ijassa-2030	84	11	optimal	optimal	ADJ
ijassa-2030	84	12	guaranteed	guarantee	VERB
ijassa-2030	84	13	risk	risk	NOUN
ijassa-2030	84	14	does	do	AUX
ijassa-2030	84	15	not	not	PART
ijassa-2030	84	16	cause	cause	VERB
ijassa-2030	84	17	computational	computational	ADJ
ijassa-2030	84	18	difficulties	difficulty	NOUN
ijassa-2030	84	19	–	–	PUNCT
ijassa-2030	84	20	it	it	PRON
ijassa-2030	84	21	is	be	AUX
ijassa-2030	84	22	reduced	reduce	VERB
ijassa-2030	84	23	to	to	ADP
ijassa-2030	84	24	choosing	choose	VERB
ijassa-2030	84	25	maximal	maximal	ADJ
ijassa-2030	84	26	and	and	CCONJ
ijassa-2030	84	27	minimal	minimal	ADJ
ijassa-2030	84	28	values	value	NOUN
ijassa-2030	84	29	from	from	ADP
ijassa-2030	84	30	finite	finite	ADJ
ijassa-2030	84	31	sets	set	NOUN
ijassa-2030	84	32	of	of	ADP
ijassa-2030	84	33	numbers	number	NOUN
ijassa-2030	84	34	.	.	PUNCT
ijassa-2030	85	1	thus	thus	ADV
ijassa-2030	85	2	,	,	PUNCT
ijassa-2030	85	3	finding	find	VERB
ijassa-2030	85	4	a	a	DET
ijassa-2030	85	5	wald	wald	NOUN
ijassa-2030	85	6	solution	solution	NOUN
ijassa-2030	85	7	consists	consist	VERB
ijassa-2030	85	8	in	in	ADP
ijassa-2030	85	9	finding	find	VERB
ijassa-2030	85	10	a	a	DET
ijassa-2030	85	11	maximin	maximin	NOUN
ijassa-2030	85	12	strategy	strategy	NOUN
ijassa-2030	85	13	for	for	ADP
ijassa-2030	85	14	matrix	matrix	NOUN
ijassa-2030	85	15	game	game	NOUN
ijassa-2030	85	16	in	in	ADP
ijassa-2030	85	17	pure	pure	ADJ
ijassa-2030	85	18	strategies	strategy	NOUN
ijassa-2030	85	19	with	with	ADP
ijassa-2030	85	20	a	a	DET
ijassa-2030	85	21	payoff	payoff	NOUN
ijassa-2030	85	22	matrix	matrix	NOUN
ijassa-2030	85	23	𝐶.	𝐶.	PROPN
ijassa-2030	85	24	the	the	DET
ijassa-2030	85	25	dm	dm	NOUN
ijassa-2030	85	26	's	's	PART
ijassa-2030	85	27	use	use	NOUN
ijassa-2030	85	28	of	of	ADP
ijassa-2030	85	29	mixed	mixed	ADJ
ijassa-2030	85	30	strategies	strategy	NOUN
ijassa-2030	85	31	can	can	AUX
ijassa-2030	85	32	improve	improve	VERB
ijassa-2030	85	33	his	his	PRON
ijassa-2030	85	34	expected	expect	VERB
ijassa-2030	85	35	payoff	payoff	NOUN
ijassa-2030	85	36	.	.	PUNCT
ijassa-2030	86	1	the	the	DET
ijassa-2030	86	2	task	task	NOUN
ijassa-2030	86	3	of	of	ADP
ijassa-2030	86	4	calculating	calculate	VERB
ijassa-2030	86	5	the	the	DET
ijassa-2030	86	6	savage	savage	ADJ
ijassa-2030	86	7	solution	solution	NOUN
ijassa-2030	86	8	can	can	AUX
ijassa-2030	86	9	be	be	AUX
ijassa-2030	86	10	interpreted	interpret	VERB
ijassa-2030	86	11	in	in	ADP
ijassa-2030	86	12	terms	term	NOUN
ijassa-2030	86	13	of	of	ADP
ijassa-2030	86	14	goal	goal	NOUN
ijassa-2030	86	15	programming	programming	NOUN
ijassa-2030	86	16	[	[	X
ijassa-2030	86	17	8	8	NUM
ijassa-2030	86	18	]	]	PUNCT
ijassa-2030	86	19	.	.	PUNCT
ijassa-2030	87	1	let	let	VERB
ijassa-2030	87	2	us	we	PRON
ijassa-2030	87	3	associate	associate	VERB
ijassa-2030	87	4	to	to	ADP
ijassa-2030	87	5	each	each	DET
ijassa-2030	87	6	uncertainty	uncertainty	NOUN
ijassa-2030	87	7	state	state	NOUN
ijassa-2030	87	8	𝑠	𝑠	PROPN
ijassa-2030	87	9	j	j	PROPN
ijassa-2030	87	10	-	-	PUNCT
ijassa-2030	87	11	th	th	VERB
ijassa-2030	87	12	criterion	criterion	NOUN
ijassa-2030	87	13	,	,	PUNCT
ijassa-2030	87	14	the	the	DET
ijassa-2030	87	15	values	value	NOUN
ijassa-2030	87	16	of	of	ADP
ijassa-2030	87	17	which	which	PRON
ijassa-2030	87	18	are	be	AUX
ijassa-2030	87	19	specified	specify	VERB
ijassa-2030	87	20	by	by	ADP
ijassa-2030	87	21	the	the	DET
ijassa-2030	87	22	j	j	PROPN
ijassa-2030	87	23	-	-	PUNCT
ijassa-2030	87	24	th	th	VERB
ijassa-2030	87	25	column	column	NOUN
ijassa-2030	87	26	of	of	ADP
ijassa-2030	87	27	the	the	DET
ijassa-2030	87	28	matrix	matrix	NOUN
ijassa-2030	87	29	c	c	NOUN
ijassa-2030	87	30	.	.	PUNCT
ijassa-2030	88	1	consider	consider	VERB
ijassa-2030	88	2	the	the	DET
ijassa-2030	88	3	corresponding	corresponding	ADJ
ijassa-2030	88	4	multi	multi	ADJ
ijassa-2030	88	5	-	-	ADJ
ijassa-2030	88	6	criteria	criteria	ADJ
ijassa-2030	88	7	optimization	optimization	NOUN
ijassa-2030	88	8	problem	problem	NOUN
ijassa-2030	88	9	with	with	ADP
ijassa-2030	88	10	the	the	DET
ijassa-2030	88	11	set	set	ADJ
ijassa-2030	88	12	𝑋	𝑋	NOUN
ijassa-2030	88	13	of	of	ADP
ijassa-2030	88	14	admissible	admissible	ADJ
ijassa-2030	88	15	strategies	strategy	NOUN
ijassa-2030	88	16	of	of	ADP
ijassa-2030	88	17	the	the	DET
ijassa-2030	88	18	dm	dm	NOUN
ijassa-2030	88	19	.	.	PUNCT
ijassa-2030	89	1	as	as	ADP
ijassa-2030	89	2	a	a	DET
ijassa-2030	89	3	target	target	NOUN
ijassa-2030	89	4	(	(	PUNCT
ijassa-2030	89	5	or	or	CCONJ
ijassa-2030	89	6	ideal	ideal	ADJ
ijassa-2030	89	7	,	,	PUNCT
ijassa-2030	89	8	utopian	utopian	ADJ
ijassa-2030	89	9	)	)	PUNCT
ijassa-2030	89	10	point	point	NOUN
ijassa-2030	89	11	in	in	ADP
ijassa-2030	89	12	the	the	DET
ijassa-2030	89	13	ldimensional	ldimensional	ADJ
ijassa-2030	89	14	space	space	NOUN
ijassa-2030	89	15	of	of	ADP
ijassa-2030	89	16	criteria	criterion	NOUN
ijassa-2030	89	17	,	,	PUNCT
ijassa-2030	89	18	let	let	VERB
ijassa-2030	89	19	us	we	PRON
ijassa-2030	89	20	assume	assume	VERB
ijassa-2030	89	21	a	a	DET
ijassa-2030	89	22	point	point	NOUN
ijassa-2030	89	23	–	–	PUNCT
ijassa-2030	89	24	a	a	DET
ijassa-2030	89	25	set	set	NOUN
ijassa-2030	89	26	of	of	ADP
ijassa-2030	89	27	maximum	maximum	ADJ
ijassa-2030	89	28	values	value	NOUN
ijassa-2030	89	29	of	of	ADP
ijassa-2030	89	30	income	income	NOUN
ijassa-2030	89	31	at	at	ADP
ijassa-2030	89	32	a	a	DET
ijassa-2030	89	33	known	know	VERB
ijassa-2030	89	34	uncertainty	uncertainty	NOUN
ijassa-2030	89	35	state	state	NOUN
ijassa-2030	89	36	:	:	PUNCT
ijassa-2030	89	37	𝑐∗	𝑐∗	PROPN
ijassa-2030	90	1	=	=	SYM
ijassa-2030	90	2	max	max	PROPN
ijassa-2030	90	3	𝑐	𝑐	PROPN
ijassa-2030	90	4	,	,	PUNCT
ijassa-2030	90	5	…	…	PUNCT
ijassa-2030	90	6	,	,	PUNCT
ijassa-2030	90	7	max	max	PROPN
ijassa-2030	90	8	𝑐	𝑐	PROPN
ijassa-2030	90	9	.	.	PUNCT
ijassa-2030	91	1	(	(	PUNCT
ijassa-2030	91	2	10	10	NUM
ijassa-2030	91	3	)	)	PUNCT
ijassa-2030	91	4	the	the	DET
ijassa-2030	91	5	risk	risk	NOUN
ijassa-2030	91	6	function	function	NOUN
ijassa-2030	91	7	in	in	ADP
ijassa-2030	91	8	this	this	DET
ijassa-2030	91	9	case	case	NOUN
ijassa-2030	91	10	is	be	AUX
ijassa-2030	91	11	(	(	PUNCT
ijassa-2030	91	12	𝑘	𝑘	PRON
ijassa-2030	91	13	×	×	PROPN
ijassa-2030	91	14	𝑙	𝑙	NOUN
ijassa-2030	91	15	)	)	PUNCT
ijassa-2030	91	16	−	−	NOUN
ijassa-2030	91	17	matrix	matrix	NOUN
ijassa-2030	91	18	𝑅	𝑅	NOUN
ijassa-2030	91	19	=	=	PUNCT
ijassa-2030	91	20	𝑚𝑎𝑥	𝑚𝑎𝑥	PRON
ijassa-2030	91	21	𝑐	𝑐	NOUN
ijassa-2030	91	22	−	−	PROPN
ijassa-2030	91	23	𝑐	𝑐	PROPN
ijassa-2030	91	24	.	.	PUNCT
ijassa-2030	92	1	(	(	PUNCT
ijassa-2030	92	2	11	11	NUM
ijassa-2030	92	3	)	)	PUNCT
ijassa-2030	92	4	the	the	DET
ijassa-2030	92	5	application	application	NOUN
ijassa-2030	92	6	of	of	ADP
ijassa-2030	92	7	the	the	DET
ijassa-2030	92	8	savage	savage	ADJ
ijassa-2030	92	9	minimax	minimax	NOUN
ijassa-2030	92	10	approach	approach	NOUN
ijassa-2030	92	11	to	to	ADP
ijassa-2030	92	12	the	the	DET
ijassa-2030	92	13	risk	risk	NOUN
ijassa-2030	92	14	matrix	matrix	NOUN
ijassa-2030	92	15	formally	formally	ADV
ijassa-2030	92	16	coincides	coincide	VERB
ijassa-2030	92	17	with	with	ADP
ijassa-2030	92	18	the	the	DET
ijassa-2030	92	19	search	search	NOUN
ijassa-2030	92	20	for	for	ADP
ijassa-2030	92	21	an	an	DET
ijassa-2030	92	22	admissible	admissible	ADJ
ijassa-2030	92	23	strategy	strategy	NOUN
ijassa-2030	92	24	that	that	PRON
ijassa-2030	92	25	gives	give	VERB
ijassa-2030	92	26	the	the	DET
ijassa-2030	92	27	value	value	NOUN
ijassa-2030	92	28	of	of	ADP
ijassa-2030	92	29	the	the	DET
ijassa-2030	92	30	vector	vector	NOUN
ijassa-2030	92	31	criterion	criterion	NOUN
ijassa-2030	92	32	that	that	PRON
ijassa-2030	92	33	is	be	AUX
ijassa-2030	92	34	as	as	ADV
ijassa-2030	92	35	close	close	ADJ
ijassa-2030	92	36	as	as	ADP
ijassa-2030	92	37	possible	possible	ADJ
ijassa-2030	92	38	to	to	ADP
ijassa-2030	92	39	the	the	DET
ijassa-2030	92	40	target	target	NOUN
ijassa-2030	92	41	point	point	NOUN
ijassa-2030	92	42	in	in	ADP
ijassa-2030	92	43	the	the	DET
ijassa-2030	92	44	uniform	uniform	NOUN
ijassa-2030	92	45	chebyshev	chebyshev	PROPN
ijassa-2030	92	46	metric	metric	PROPN
ijassa-2030	92	47	.	.	PUNCT
ijassa-2030	93	1	consequently	consequently	ADV
ijassa-2030	93	2	,	,	PUNCT
ijassa-2030	93	3	the	the	DET
ijassa-2030	93	4	search	search	NOUN
ijassa-2030	93	5	for	for	ADP
ijassa-2030	93	6	a	a	DET
ijassa-2030	93	7	savage	savage	ADJ
ijassa-2030	93	8	-	-	PUNCT
ijassa-2030	93	9	optimal	optimal	ADJ
ijassa-2030	93	10	solution	solution	NOUN
ijassa-2030	93	11	can	can	AUX
ijassa-2030	93	12	be	be	AUX
ijassa-2030	93	13	interpreted	interpret	VERB
ijassa-2030	93	14	as	as	ADP
ijassa-2030	93	15	a	a	DET
ijassa-2030	93	16	goal	goal	NOUN
ijassa-2030	93	17	-	-	PUNCT
ijassa-2030	93	18	programming	programming	NOUN
ijassa-2030	93	19	problem	problem	NOUN
ijassa-2030	93	20	.	.	PUNCT
ijassa-2030	94	1	in	in	ADP
ijassa-2030	94	2	the	the	DET
ijassa-2030	94	3	main	main	ADJ
ijassa-2030	94	4	considered	consider	VERB
ijassa-2030	94	5	continuous	continuous	ADJ
ijassa-2030	94	6	case	case	NOUN
ijassa-2030	94	7	(	(	PUNCT
ijassa-2030	94	8	1	1	NUM
ijassa-2030	94	9	)	)	PUNCT
ijassa-2030	94	10	(	(	PUNCT
ijassa-2030	94	11	3	3	NUM
ijassa-2030	94	12	)	)	PUNCT
ijassa-2030	94	13	,	,	PUNCT
ijassa-2030	94	14	the	the	DET
ijassa-2030	94	15	construction	construction	NOUN
ijassa-2030	94	16	of	of	ADP
ijassa-2030	94	17	the	the	DET
ijassa-2030	94	18	risk	risk	NOUN
ijassa-2030	94	19	function	function	NOUN
ijassa-2030	94	20	(	(	PUNCT
ijassa-2030	94	21	1	1	NUM
ijassa-2030	94	22	)	)	PUNCT
ijassa-2030	94	23	in	in	ADP
ijassa-2030	94	24	explicit	explicit	ADJ
ijassa-2030	94	25	form	form	NOUN
ijassa-2030	94	26	is	be	AUX
ijassa-2030	94	27	much	much	ADV
ijassa-2030	94	28	more	more	ADV
ijassa-2030	94	29	complicated	complicated	ADJ
ijassa-2030	94	30	.	.	PUNCT
ijassa-2030	95	1	the	the	DET
ijassa-2030	95	2	analogy	analogy	NOUN
ijassa-2030	95	3	with	with	ADP
ijassa-2030	95	4	goal	goal	NOUN
ijassa-2030	95	5	programming	programming	NOUN
ijassa-2030	95	6	is	be	AUX
ijassa-2030	95	7	preserved	preserve	VERB
ijassa-2030	95	8	if	if	SCONJ
ijassa-2030	95	9	we	we	PRON
ijassa-2030	95	10	consider	consider	VERB
ijassa-2030	95	11	the	the	DET
ijassa-2030	95	12	corresponding	correspond	VERB
ijassa-2030	95	13	multi	multi	ADJ
ijassa-2030	95	14	-	-	ADJ
ijassa-2030	95	15	criteria	criteria	ADJ
ijassa-2030	95	16	problem	problem	NOUN
ijassa-2030	95	17	with	with	ADP
ijassa-2030	95	18	an	an	DET
ijassa-2030	95	19	infinite	infinite	ADJ
ijassa-2030	95	20	continuous	continuous	ADJ
ijassa-2030	95	21	set	set	NOUN
ijassa-2030	95	22	of	of	ADP
ijassa-2030	95	23	criteria	criterion	NOUN
ijassa-2030	95	24	{	{	PUNCT
ijassa-2030	95	25	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	95	26	,	,	PUNCT
ijassa-2030	95	27	𝑦	𝑦	NOUN
ijassa-2030	95	28	)	)	PUNCT
ijassa-2030	95	29	}	}	PUNCT
ijassa-2030	95	30	∈	∈	NOUN
ijassa-2030	95	31	,	,	PUNCT
ijassa-2030	95	32	in	in	ADP
ijassa-2030	95	33	which	which	PRON
ijassa-2030	95	34	each	each	DET
ijassa-2030	95	35	possible	possible	ADJ
ijassa-2030	95	36	value	value	NOUN
ijassa-2030	95	37	of	of	ADP
ijassa-2030	95	38	uncertainty	uncertainty	NOUN
ijassa-2030	95	39	corresponds	correspond	VERB
ijassa-2030	95	40	to	to	ADP
ijassa-2030	95	41	its	its	PRON
ijassa-2030	95	42	own	own	ADJ
ijassa-2030	95	43	criterion	criterion	NOUN
ijassa-2030	95	44	function	function	NOUN
ijassa-2030	95	45	.	.	PUNCT
ijassa-2030	96	1	however	however	ADV
ijassa-2030	96	2	,	,	PUNCT
ijassa-2030	96	3	this	this	DET
ijassa-2030	96	4	analogy	analogy	NOUN
ijassa-2030	96	5	has	have	VERB
ijassa-2030	96	6	little	little	ADJ
ijassa-2030	96	7	computational	computational	ADJ
ijassa-2030	96	8	value	value	NOUN
ijassa-2030	96	9	here	here	ADV
ijassa-2030	96	10	.	.	PUNCT
ijassa-2030	97	1	5	5	NUM
ijassa-2030	97	2	optimization	optimization	NOUN
ijassa-2030	97	3	of	of	ADP
ijassa-2030	97	4	deposit	deposit	NOUN
ijassa-2030	97	5	structure	structure	NOUN
ijassa-2030	97	6	by	by	ADP
ijassa-2030	97	7	income	income	NOUN
ijassa-2030	97	8	and	and	CCONJ
ijassa-2030	97	9	risk	risk	NOUN
ijassa-2030	97	10	under	under	ADP
ijassa-2030	97	11	uncertainty	uncertainty	NOUN
ijassa-2030	97	12	copyright	copyright	NOUN
ijassa-2030	97	13	©	©	PROPN
ijassa-2030	97	14	2025	2025	NUM
ijassa-2030	97	15	assa	assa	PROPN
ijassa-2030	97	16	adv	adv	PROPN
ijassa-2030	97	17	.	.	PUNCT
ijassa-2030	98	1	in	in	ADP
ijassa-2030	98	2	systems	system	NOUN
ijassa-2030	98	3	science	science	NOUN
ijassa-2030	98	4	and	and	CCONJ
ijassa-2030	98	5	appl	appl	NOUN
ijassa-2030	98	6	.	.	PUNCT
ijassa-2030	99	1	(	(	PUNCT
ijassa-2030	99	2	2025	2025	NUM
ijassa-2030	99	3	)	)	PUNCT
ijassa-2030	99	4	5	5	NUM
ijassa-2030	99	5	.	.	PUNCT
ijassa-2030	100	1	optimization	optimization	NOUN
ijassa-2030	100	2	of	of	ADP
ijassa-2030	100	3	guaranteed	guarantee	VERB
ijassa-2030	100	4	risk	risk	NOUN
ijassa-2030	100	5	and	and	CCONJ
ijassa-2030	100	6	linear	linear	PROPN
ijassa-2030	100	7	programming	programming	NOUN
ijassa-2030	100	8	let	let	VERB
ijassa-2030	100	9	us	we	PRON
ijassa-2030	100	10	consider	consider	VERB
ijassa-2030	100	11	step	step	NOUN
ijassa-2030	100	12	-	-	PUNCT
ijassa-2030	100	13	by	by	ADP
ijassa-2030	100	14	-	-	PUNCT
ijassa-2030	100	15	step	step	NOUN
ijassa-2030	100	16	the	the	DET
ijassa-2030	100	17	process	process	NOUN
ijassa-2030	100	18	of	of	ADP
ijassa-2030	100	19	constructing	construct	VERB
ijassa-2030	100	20	the	the	DET
ijassa-2030	100	21	optimal	optimal	ADJ
ijassa-2030	100	22	risk	risk	NOUN
ijassa-2030	100	23	-	-	PUNCT
ijassa-2030	100	24	guaranteed	guarantee	VERB
ijassa-2030	100	25	solution	solution	NOUN
ijassa-2030	100	26	in	in	ADP
ijassa-2030	100	27	problem	problem	NOUN
ijassa-2030	100	28	(	(	PUNCT
ijassa-2030	100	29	1	1	NUM
ijassa-2030	100	30	)	)	PUNCT
ijassa-2030	100	31	(	(	PUNCT
ijassa-2030	100	32	3	3	NUM
ijassa-2030	100	33	)	)	PUNCT
ijassa-2030	100	34	,	,	PUNCT
ijassa-2030	100	35	(	(	PUNCT
ijassa-2030	100	36	8)	8)	NUM
ijassa-2030	100	37	in	in	ADP
ijassa-2030	100	38	accordance	accordance	NOUN
ijassa-2030	100	39	with	with	ADP
ijassa-2030	100	40	the	the	DET
ijassa-2030	100	41	definition	definition	NOUN
ijassa-2030	100	42	in	in	ADP
ijassa-2030	100	43	formula	formula	NOUN
ijassa-2030	100	44	(	(	PUNCT
ijassa-2030	100	45	8)	8)	NUM
ijassa-2030	100	46	.	.	PUNCT
ijassa-2030	100	47	to	to	PART
ijassa-2030	100	48	construct	construct	VERB
ijassa-2030	100	49	the	the	DET
ijassa-2030	100	50	risk	risk	NOUN
ijassa-2030	100	51	function	function	NOUN
ijassa-2030	100	52	,	,	PUNCT
ijassa-2030	100	53	we	we	PRON
ijassa-2030	100	54	first	first	ADV
ijassa-2030	100	55	calculate	calculate	VERB
ijassa-2030	100	56	the	the	DET
ijassa-2030	100	57	function	function	NOUN
ijassa-2030	100	58	𝑓[𝑦	𝑓[𝑦	NOUN
ijassa-2030	100	59	]	]	X
ijassa-2030	100	60	=	=	SYM
ijassa-2030	100	61	max	max	PROPN
ijassa-2030	100	62	∈	∈	PROPN
ijassa-2030	100	63	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	100	64	,	,	PUNCT
ijassa-2030	100	65	𝑦	𝑦	NOUN
ijassa-2030	100	66	)	)	PUNCT
ijassa-2030	100	67	(	(	PUNCT
ijassa-2030	100	68	12	12	NUM
ijassa-2030	100	69	)	)	PUNCT
ijassa-2030	100	70	of	of	ADP
ijassa-2030	100	71	the	the	DET
ijassa-2030	100	72	best	good	ADJ
ijassa-2030	100	73	results	result	NOUN
ijassa-2030	100	74	for	for	ADP
ijassa-2030	100	75	the	the	DET
ijassa-2030	100	76	dm	dm	NOUN
ijassa-2030	100	77	at	at	ADP
ijassa-2030	100	78	each	each	DET
ijassa-2030	100	79	known	know	VERB
ijassa-2030	100	80	value	value	NOUN
ijassa-2030	100	81	of	of	ADP
ijassa-2030	100	82	uncertainty	uncertainty	NOUN
ijassa-2030	100	83	y∈	y∈	PROPN
ijassa-2030	100	84	𝑌	𝑌	PROPN
ijassa-2030	100	85	.	.	PUNCT
ijassa-2030	101	1	due	due	ADP
ijassa-2030	101	2	to	to	ADP
ijassa-2030	101	3	the	the	DET
ijassa-2030	101	4	compactness	compactness	NOUN
ijassa-2030	101	5	of	of	ADP
ijassa-2030	101	6	the	the	DET
ijassa-2030	101	7	sets	set	NOUN
ijassa-2030	101	8	𝑋	𝑋	NOUN
ijassa-2030	101	9	and	and	CCONJ
ijassa-2030	101	10	𝑌	𝑌	PROPN
ijassa-2030	101	11	and	and	CCONJ
ijassa-2030	101	12	the	the	DET
ijassa-2030	101	13	continuity	continuity	NOUN
ijassa-2030	101	14	of	of	ADP
ijassa-2030	101	15	the	the	DET
ijassa-2030	101	16	function	function	NOUN
ijassa-2030	101	17	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	101	18	,	,	PUNCT
ijassa-2030	101	19	𝑦	𝑦	NOUN
ijassa-2030	101	20	)	)	PUNCT
ijassa-2030	101	21	the	the	DET
ijassa-2030	101	22	function	function	NOUN
ijassa-2030	101	23	(	(	PUNCT
ijassa-2030	101	24	12	12	NUM
ijassa-2030	101	25	)	)	PUNCT
ijassa-2030	101	26	is	be	AUX
ijassa-2030	101	27	continuous	continuous	ADJ
ijassa-2030	101	28	on	on	ADP
ijassa-2030	101	29	the	the	DET
ijassa-2030	101	30	set	set	NOUN
ijassa-2030	101	31	y.	y.	PROPN
ijassa-2030	101	32	moreover	moreover	ADV
ijassa-2030	101	33	,	,	PUNCT
ijassa-2030	101	34	since	since	SCONJ
ijassa-2030	101	35	𝑋	𝑋	PROPN
ijassa-2030	101	36	is	be	AUX
ijassa-2030	101	37	a	a	DET
ijassa-2030	101	38	polyhedron	polyhedron	NOUN
ijassa-2030	101	39	,	,	PUNCT
ijassa-2030	101	40	by	by	ADP
ijassa-2030	101	41	virtue	virtue	NOUN
ijassa-2030	101	42	of	of	ADP
ijassa-2030	101	43	the	the	DET
ijassa-2030	101	44	known	know	VERB
ijassa-2030	101	45	extremal	extremal	ADJ
ijassa-2030	101	46	property	property	NOUN
ijassa-2030	101	47	of	of	ADP
ijassa-2030	101	48	linear	linear	ADJ
ijassa-2030	101	49	functions	function	NOUN
ijassa-2030	101	50	on	on	ADP
ijassa-2030	101	51	a	a	DET
ijassa-2030	101	52	polyhedron	polyhedron	NOUN
ijassa-2030	101	53	,	,	PUNCT
ijassa-2030	101	54	at	at	ADP
ijassa-2030	101	55	any	any	DET
ijassa-2030	101	56	𝑦	𝑦	NOUN
ijassa-2030	101	57	∈	∈	NOUN
ijassa-2030	101	58	𝑌	𝑌	PROPN
ijassa-2030	101	59	the	the	DET
ijassa-2030	101	60	maximum	maximum	NOUN
ijassa-2030	101	61	in	in	ADP
ijassa-2030	101	62	(	(	PUNCT
ijassa-2030	101	63	12	12	NUM
ijassa-2030	101	64	)	)	PUNCT
ijassa-2030	101	65	is	be	AUX
ijassa-2030	101	66	also	also	ADV
ijassa-2030	101	67	reached	reach	VERB
ijassa-2030	101	68	at	at	ADP
ijassa-2030	101	69	one	one	NUM
ijassa-2030	101	70	of	of	ADP
ijassa-2030	101	71	the	the	DET
ijassa-2030	101	72	vertices	vertex	NOUN
ijassa-2030	101	73	of	of	ADP
ijassa-2030	101	74	this	this	DET
ijassa-2030	101	75	polyhedron	polyhedron	NOUN
ijassa-2030	101	76	.	.	PUNCT
ijassa-2030	102	1	therefore	therefore	ADV
ijassa-2030	102	2	,	,	PUNCT
ijassa-2030	102	3	the	the	DET
ijassa-2030	102	4	function	function	NOUN
ijassa-2030	102	5	𝑓[𝑦	𝑓[𝑦	NOUN
ijassa-2030	102	6	]	]	PUNCT
ijassa-2030	102	7	is	be	AUX
ijassa-2030	102	8	a	a	DET
ijassa-2030	102	9	piecewise	piecewise	NOUN
ijassa-2030	102	10	linear	linear	NOUN
ijassa-2030	102	11	function	function	NOUN
ijassa-2030	102	12	of	of	ADP
ijassa-2030	102	13	the	the	DET
ijassa-2030	102	14	form	form	NOUN
ijassa-2030	102	15	𝑓[𝑦	𝑓[𝑦	NOUN
ijassa-2030	102	16	]	]	X
ijassa-2030	102	17	=	=	SYM
ijassa-2030	102	18	max	max	PROPN
ijassa-2030	102	19	𝑓	𝑓	PROPN
ijassa-2030	102	20	𝑥	𝑥	X
ijassa-2030	102	21	(	(	PUNCT
ijassa-2030	102	22	)	)	PUNCT
ijassa-2030	102	23	,	,	PUNCT
ijassa-2030	102	24	𝑦	𝑦	NOUN
ijassa-2030	102	25	=	=	X
ijassa-2030	102	26	max	max	PROPN
ijassa-2030	102	27	𝑐	𝑐	PROPN
ijassa-2030	102	28	𝑥	𝑥	PROPN
ijassa-2030	102	29	(	(	PUNCT
ijassa-2030	102	30	)	)	PUNCT
ijassa-2030	102	31	𝑦	𝑦	NOUN
ijassa-2030	102	32	,	,	PUNCT
ijassa-2030	102	33	𝑦	𝑦	NOUN
ijassa-2030	102	34	∈	∈	PROPN
ijassa-2030	102	35	𝑌	𝑌	PROPN
ijassa-2030	102	36	,	,	PUNCT
ijassa-2030	102	37	(	(	PUNCT
ijassa-2030	102	38	13	13	NUM
ijassa-2030	102	39	)	)	PUNCT
ijassa-2030	102	40	where	where	SCONJ
ijassa-2030	102	41	𝑥	𝑥	X
ijassa-2030	102	42	(	(	PUNCT
ijassa-2030	102	43	)	)	PUNCT
ijassa-2030	102	44	,	,	PUNCT
ijassa-2030	102	45	…	…	PUNCT
ijassa-2030	102	46	,	,	PUNCT
ijassa-2030	102	47	𝑥	𝑥	X
ijassa-2030	102	48	(	(	PUNCT
ijassa-2030	102	49	)	)	PUNCT
ijassa-2030	102	50	is	be	AUX
ijassa-2030	102	51	the	the	DET
ijassa-2030	102	52	set	set	NOUN
ijassa-2030	102	53	of	of	ADP
ijassa-2030	102	54	vertices	vertex	NOUN
ijassa-2030	102	55	of	of	ADP
ijassa-2030	102	56	the	the	DET
ijassa-2030	102	57	polyhedron	polyhedron	NOUN
ijassa-2030	102	58	𝑋.	𝑋.	PROPN
ijassa-2030	102	59	the	the	DET
ijassa-2030	102	60	risk	risk	NOUN
ijassa-2030	102	61	function	function	NOUN
ijassa-2030	102	62	(	(	PUNCT
ijassa-2030	102	63	3	3	X
ijassa-2030	102	64	)	)	PUNCT
ijassa-2030	102	65	will	will	AUX
ijassa-2030	102	66	also	also	ADV
ijassa-2030	102	67	be	be	AUX
ijassa-2030	102	68	at	at	ADP
ijassa-2030	102	69	each	each	PRON
ijassa-2030	102	70	𝑥	𝑥	PRON
ijassa-2030	102	71	∈	∈	NOUN
ijassa-2030	102	72	𝑋	𝑋	NOUN
ijassa-2030	102	73	a	a	DET
ijassa-2030	102	74	piecewise	piecewise	NOUN
ijassa-2030	102	75	linear	linear	ADJ
ijassa-2030	102	76	convex	convex	NOUN
ijassa-2030	102	77	function	function	NOUN
ijassa-2030	102	78	on	on	ADP
ijassa-2030	102	79	the	the	DET
ijassa-2030	102	80	argument	argument	NOUN
ijassa-2030	102	81	y	y	PROPN
ijassa-2030	102	82	as	as	ADP
ijassa-2030	102	83	the	the	DET
ijassa-2030	102	84	sum	sum	NOUN
ijassa-2030	102	85	of	of	ADP
ijassa-2030	102	86	linear	linear	PROPN
ijassa-2030	102	87	and	and	CCONJ
ijassa-2030	102	88	piecewise	piecewise	NOUN
ijassa-2030	102	89	linear	linear	NOUN
ijassa-2030	102	90	functions	function	NOUN
ijassa-2030	102	91	.	.	PUNCT
ijassa-2030	103	1	the	the	DET
ijassa-2030	103	2	next	next	ADJ
ijassa-2030	103	3	step	step	NOUN
ijassa-2030	103	4	is	be	AUX
ijassa-2030	103	5	to	to	PART
ijassa-2030	103	6	find	find	VERB
ijassa-2030	103	7	the	the	DET
ijassa-2030	103	8	guaranteed	guarantee	VERB
ijassa-2030	103	9	risk	risk	NOUN
ijassa-2030	103	10	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	103	11	]	]	X
ijassa-2030	103	12	=	=	SYM
ijassa-2030	103	13	max	max	PROPN
ijassa-2030	103	14	∈	∈	PROPN
ijassa-2030	103	15	φ(𝑥	φ(𝑥	PROPN
ijassa-2030	103	16	,	,	PUNCT
ijassa-2030	103	17	𝑦	𝑦	NOUN
ijassa-2030	103	18	)	)	PUNCT
ijassa-2030	103	19	.	.	PUNCT
ijassa-2030	104	1	(	(	PUNCT
ijassa-2030	104	2	14	14	NUM
ijassa-2030	104	3	)	)	PUNCT
ijassa-2030	104	4	the	the	DET
ijassa-2030	104	5	piecewise	piecewise	NOUN
ijassa-2030	104	6	linear	linear	NOUN
ijassa-2030	104	7	property	property	NOUN
ijassa-2030	104	8	for	for	ADP
ijassa-2030	104	9	𝛷[𝑥	𝛷[𝑥	NOUN
ijassa-2030	104	10	]	]	PUNCT
ijassa-2030	104	11	is	be	AUX
ijassa-2030	104	12	preserved	preserve	VERB
ijassa-2030	104	13	given	give	VERB
ijassa-2030	104	14	that	that	SCONJ
ijassa-2030	104	15	y	y	PROPN
ijassa-2030	104	16	is	be	AUX
ijassa-2030	104	17	a	a	DET
ijassa-2030	104	18	polyhedron	polyhedron	NOUN
ijassa-2030	104	19	.	.	PUNCT
ijassa-2030	105	1	the	the	DET
ijassa-2030	105	2	form	form	NOUN
ijassa-2030	105	3	of	of	ADP
ijassa-2030	105	4	the	the	DET
ijassa-2030	105	5	function	function	NOUN
ijassa-2030	105	6	𝛷[𝑥	𝛷[𝑥	NOUN
ijassa-2030	105	7	]	]	PUNCT
ijassa-2030	105	8	depends	depend	VERB
ijassa-2030	105	9	on	on	ADP
ijassa-2030	105	10	the	the	DET
ijassa-2030	105	11	configuration	configuration	NOUN
ijassa-2030	105	12	of	of	ADP
ijassa-2030	105	13	the	the	DET
ijassa-2030	105	14	set	set	ADJ
ijassa-2030	105	15	y	y	PROPN
ijassa-2030	105	16	of	of	ADP
ijassa-2030	105	17	possible	possible	ADJ
ijassa-2030	105	18	uncertainty	uncertainty	NOUN
ijassa-2030	105	19	values	value	NOUN
ijassa-2030	105	20	.	.	PUNCT
ijassa-2030	106	1	in	in	ADP
ijassa-2030	106	2	the	the	DET
ijassa-2030	106	3	case	case	NOUN
ijassa-2030	106	4	of	of	ADP
ijassa-2030	106	5	bilateral	bilateral	ADJ
ijassa-2030	106	6	constraints	constraint	NOUN
ijassa-2030	106	7	,	,	PUNCT
ijassa-2030	106	8	it	it	PRON
ijassa-2030	106	9	is	be	AUX
ijassa-2030	106	10	found	find	VERB
ijassa-2030	106	11	explicitly	explicitly	ADV
ijassa-2030	106	12	in	in	ADP
ijassa-2030	106	13	specific	specific	ADJ
ijassa-2030	106	14	cases	case	NOUN
ijassa-2030	106	15	(	(	PUNCT
ijassa-2030	106	16	see	see	VERB
ijassa-2030	106	17	,	,	PUNCT
ijassa-2030	106	18	for	for	ADP
ijassa-2030	106	19	example	example	NOUN
ijassa-2030	106	20	,	,	PUNCT
ijassa-2030	106	21	the	the	DET
ijassa-2030	106	22	next	next	ADJ
ijassa-2030	106	23	section	section	NOUN
ijassa-2030	106	24	)	)	PUNCT
ijassa-2030	106	25	.	.	PUNCT
ijassa-2030	107	1	suppose	suppose	VERB
ijassa-2030	107	2	that	that	SCONJ
ijassa-2030	107	3	an	an	DET
ijassa-2030	107	4	explicit	explicit	ADJ
ijassa-2030	107	5	form	form	NOUN
ijassa-2030	107	6	of	of	ADP
ijassa-2030	107	7	the	the	DET
ijassa-2030	107	8	guaranteed	guarantee	VERB
ijassa-2030	107	9	risk	risk	NOUN
ijassa-2030	107	10	function	function	NOUN
ijassa-2030	107	11	𝛷[𝑥	𝛷[𝑥	NOUN
ijassa-2030	107	12	]	]	PUNCT
ijassa-2030	107	13	is	be	AUX
ijassa-2030	107	14	established	establish	VERB
ijassa-2030	107	15	:	:	PUNCT
ijassa-2030	107	16	φ[𝑥	φ[𝑥	ADJ
ijassa-2030	107	17	]	]	X
ijassa-2030	107	18	=	=	SYM
ijassa-2030	107	19	max	max	PROPN
ijassa-2030	107	20	𝑙	𝑙	PROPN
ijassa-2030	107	21	(	(	PUNCT
ijassa-2030	107	22	𝑥	𝑥	NOUN
ijassa-2030	107	23	)	)	PUNCT
ijassa-2030	107	24	,	,	PUNCT
ijassa-2030	107	25	(	(	PUNCT
ijassa-2030	107	26	15	15	NUM
ijassa-2030	107	27	)	)	PUNCT
ijassa-2030	107	28	where	where	SCONJ
ijassa-2030	107	29	𝑙	𝑙	X
ijassa-2030	107	30	(	(	PUNCT
ijassa-2030	107	31	𝑥	𝑥	NOUN
ijassa-2030	107	32	)	)	PUNCT
ijassa-2030	107	33	(	(	PUNCT
ijassa-2030	107	34	𝑖	𝑖	SYM
ijassa-2030	107	35	=	=	SYM
ijassa-2030	107	36	1	1	NUM
ijassa-2030	107	37	,	,	PUNCT
ijassa-2030	107	38	…	…	PUNCT
ijassa-2030	107	39	,	,	PUNCT
ijassa-2030	107	40	𝐿	𝐿	PROPN
ijassa-2030	107	41	)	)	PUNCT
ijassa-2030	107	42	are	be	AUX
ijassa-2030	107	43	linear	linear	ADJ
ijassa-2030	107	44	functions	function	NOUN
ijassa-2030	107	45	.	.	PUNCT
ijassa-2030	108	1	then	then	ADV
ijassa-2030	108	2	the	the	DET
ijassa-2030	108	3	problem	problem	NOUN
ijassa-2030	108	4	of	of	ADP
ijassa-2030	108	5	minimization	minimization	NOUN
ijassa-2030	108	6	of	of	ADP
ijassa-2030	108	7	the	the	DET
ijassa-2030	108	8	piecewise	piecewise	NOUN
ijassa-2030	108	9	linear	linear	NOUN
ijassa-2030	108	10	function	function	NOUN
ijassa-2030	108	11	of	of	ADP
ijassa-2030	108	12	guaranteed	guarantee	VERB
ijassa-2030	108	13	risk	risk	NOUN
ijassa-2030	108	14	can	can	AUX
ijassa-2030	108	15	be	be	AUX
ijassa-2030	108	16	[	[	X
ijassa-2030	108	17	9	9	NUM
ijassa-2030	108	18	]	]	PUNCT
ijassa-2030	108	19	reduced	reduce	VERB
ijassa-2030	108	20	to	to	ADP
ijassa-2030	108	21	the	the	DET
ijassa-2030	108	22	following	follow	VERB
ijassa-2030	108	23	linear	linear	ADJ
ijassa-2030	108	24	programming	programming	NOUN
ijassa-2030	108	25	(	(	PUNCT
ijassa-2030	108	26	lp	lp	NOUN
ijassa-2030	108	27	)	)	PUNCT
ijassa-2030	108	28	problem	problem	NOUN
ijassa-2030	108	29	:	:	PUNCT
ijassa-2030	109	1	𝑧	𝑧	X
ijassa-2030	109	2	→	→	SYM
ijassa-2030	109	3	min	min	NOUN
ijassa-2030	109	4	𝑥	𝑥	NOUN
ijassa-2030	109	5	∈	∈	PROPN
ijassa-2030	109	6	𝑋	𝑋	NOUN
ijassa-2030	109	7	𝑧	𝑧	PROPN
ijassa-2030	109	8	−	−	PROPN
ijassa-2030	109	9	𝑙	𝑙	PROPN
ijassa-2030	109	10	(	(	PUNCT
ijassa-2030	109	11	𝑥	𝑥	NOUN
ijassa-2030	109	12	)	)	PUNCT
ijassa-2030	109	13	≥	≥	NOUN
ijassa-2030	109	14	0	0	NUM
ijassa-2030	109	15	(	(	PUNCT
ijassa-2030	109	16	𝑘	𝑘	X
ijassa-2030	109	17	=	=	SYM
ijassa-2030	109	18	1	1	NUM
ijassa-2030	109	19	,	,	PUNCT
ijassa-2030	109	20	…	…	PUNCT
ijassa-2030	109	21	,	,	PUNCT
ijassa-2030	109	22	𝐿	𝐿	PROPN
ijassa-2030	109	23	)	)	PUNCT
ijassa-2030	109	24	(	(	PUNCT
ijassa-2030	109	25	16	16	NUM
ijassa-2030	109	26	)	)	PUNCT
ijassa-2030	109	27	with	with	ADP
ijassa-2030	109	28	m+1	m+1	PRON
ijassa-2030	109	29	variable	variable	NOUN
ijassa-2030	109	30	and	and	CCONJ
ijassa-2030	109	31	l	l	NOUN
ijassa-2030	109	32	additional	additional	ADJ
ijassa-2030	109	33	constraints	constraint	NOUN
ijassa-2030	109	34	.	.	PUNCT
ijassa-2030	110	1	the	the	DET
ijassa-2030	110	2	optimal	optimal	ADJ
ijassa-2030	110	3	value	value	NOUN
ijassa-2030	110	4	of	of	ADP
ijassa-2030	110	5	the	the	DET
ijassa-2030	110	6	variable	variable	NOUN
ijassa-2030	110	7	𝑧	𝑧	NOUN
ijassa-2030	110	8	is	be	AUX
ijassa-2030	110	9	equal	equal	ADJ
ijassa-2030	110	10	to	to	ADP
ijassa-2030	110	11	the	the	DET
ijassa-2030	110	12	optimal	optimal	ADJ
ijassa-2030	110	13	guaranteed	guarantee	VERB
ijassa-2030	110	14	risk	risk	NOUN
ijassa-2030	110	15	;	;	PUNCT
ijassa-2030	110	16	the	the	DET
ijassa-2030	110	17	minimum	minimum	ADJ
ijassa-2030	110	18	point	point	NOUN
ijassa-2030	110	19	of	of	ADP
ijassa-2030	110	20	this	this	DET
ijassa-2030	110	21	problem	problem	NOUN
ijassa-2030	110	22	determines	determine	VERB
ijassa-2030	110	23	the	the	DET
ijassa-2030	110	24	optimal	optimal	ADJ
ijassa-2030	110	25	allocation	allocation	NOUN
ijassa-2030	110	26	of	of	ADP
ijassa-2030	110	27	a	a	DET
ijassa-2030	110	28	unit	unit	NOUN
ijassa-2030	110	29	of	of	ADP
ijassa-2030	110	30	resource	resource	NOUN
ijassa-2030	110	31	by	by	ADP
ijassa-2030	110	32	activity	activity	NOUN
ijassa-2030	110	33	.	.	PUNCT
ijassa-2030	111	1	the	the	DET
ijassa-2030	111	2	solution	solution	NOUN
ijassa-2030	111	3	of	of	ADP
ijassa-2030	111	4	the	the	DET
ijassa-2030	111	5	lp	lp	PROPN
ijassa-2030	111	6	problem	problem	NOUN
ijassa-2030	111	7	(	(	PUNCT
ijassa-2030	111	8	16	16	NUM
ijassa-2030	111	9	)	)	PUNCT
ijassa-2030	111	10	can	can	AUX
ijassa-2030	111	11	be	be	AUX
ijassa-2030	111	12	performed	perform	VERB
ijassa-2030	111	13	by	by	ADP
ijassa-2030	111	14	the	the	DET
ijassa-2030	111	15	simplex	simplex	NOUN
ijassa-2030	111	16	method	method	NOUN
ijassa-2030	111	17	,	,	PUNCT
ijassa-2030	111	18	including	include	VERB
ijassa-2030	111	19	the	the	DET
ijassa-2030	111	20	regular	regular	ADJ
ijassa-2030	111	21	means	mean	NOUN
ijassa-2030	111	22	of	of	ADP
ijassa-2030	111	23	the	the	DET
ijassa-2030	111	24	"	"	PUNCT
ijassa-2030	111	25	solution	solution	NOUN
ijassa-2030	111	26	search	search	NOUN
ijassa-2030	111	27	"	"	PUNCT
ijassa-2030	111	28	section	section	NOUN
ijassa-2030	111	29	in	in	ADP
ijassa-2030	111	30	excel	excel	NOUN
ijassa-2030	111	31	,	,	PUNCT
ijassa-2030	111	32	while	while	SCONJ
ijassa-2030	111	33	the	the	DET
ijassa-2030	111	34	main	main	ADJ
ijassa-2030	111	35	difficulty	difficulty	NOUN
ijassa-2030	111	36	is	be	AUX
ijassa-2030	111	37	to	to	PART
ijassa-2030	111	38	construct	construct	VERB
ijassa-2030	111	39	the	the	DET
ijassa-2030	111	40	guaranteed	guarantee	VERB
ijassa-2030	111	41	risk	risk	NOUN
ijassa-2030	111	42	function	function	NOUN
ijassa-2030	111	43	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	111	44	]	]	X
ijassa-2030	111	45	an	an	DET
ijassa-2030	111	46	alternative	alternative	ADJ
ijassa-2030	111	47	method	method	NOUN
ijassa-2030	111	48	of	of	ADP
ijassa-2030	111	49	solving	solve	VERB
ijassa-2030	111	50	the	the	DET
ijassa-2030	111	51	original	original	ADJ
ijassa-2030	111	52	problem	problem	NOUN
ijassa-2030	111	53	is	be	AUX
ijassa-2030	111	54	to	to	PART
ijassa-2030	111	55	find	find	VERB
ijassa-2030	111	56	the	the	DET
ijassa-2030	111	57	minimum	minimum	NOUN
ijassa-2030	111	58	of	of	ADP
ijassa-2030	111	59	the	the	DET
ijassa-2030	111	60	function	function	NOUN
ijassa-2030	111	61	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	111	62	]	]	PUNCT
ijassa-2030	111	63	by	by	ADP
ijassa-2030	111	64	investigating	investigate	VERB
ijassa-2030	111	65	its	its	PRON
ijassa-2030	111	66	extremal	extremal	ADJ
ijassa-2030	111	67	properties	property	NOUN
ijassa-2030	111	68	on	on	ADP
ijassa-2030	111	69	separate	separate	ADJ
ijassa-2030	111	70	parts	part	NOUN
ijassa-2030	111	71	of	of	ADP
ijassa-2030	111	72	the	the	DET
ijassa-2030	111	73	boundary	boundary	ADJ
ijassa-2030	111	74	and	and	CCONJ
ijassa-2030	111	75	inside	inside	ADP
ijassa-2030	111	76	the	the	DET
ijassa-2030	111	77	set	set	NOUN
ijassa-2030	111	78	𝑋.	𝑋.	PROPN
ijassa-2030	111	79	this	this	DET
ijassa-2030	111	80	approach	approach	NOUN
ijassa-2030	111	81	was	be	AUX
ijassa-2030	111	82	used	use	VERB
ijassa-2030	111	83	in	in	ADP
ijassa-2030	111	84	[	[	X
ijassa-2030	111	85	4	4	NUM
ijassa-2030	111	86	,	,	PUNCT
ijassa-2030	111	87	5	5	NUM
ijassa-2030	111	88	]	]	PUNCT
ijassa-2030	111	89	in	in	ADP
ijassa-2030	111	90	the	the	DET
ijassa-2030	111	91	case	case	NOUN
ijassa-2030	111	92	of	of	ADP
ijassa-2030	111	93	three	three	NUM
ijassa-2030	111	94	types	type	NOUN
ijassa-2030	111	95	of	of	ADP
ijassa-2030	111	96	activity	activity	NOUN
ijassa-2030	111	97	.	.	PUNCT
ijassa-2030	112	1	we	we	PRON
ijassa-2030	112	2	considered	consider	VERB
ijassa-2030	112	3	the	the	DET
ijassa-2030	112	4	problem	problem	NOUN
ijassa-2030	112	5	of	of	ADP
ijassa-2030	112	6	distributing	distribute	VERB
ijassa-2030	112	7	a	a	DET
ijassa-2030	112	8	monetary	monetary	ADJ
ijassa-2030	112	9	unit	unit	NOUN
ijassa-2030	112	10	resource	resource	NOUN
ijassa-2030	112	11	over	over	ADP
ijassa-2030	112	12	deposits	deposit	NOUN
ijassa-2030	112	13	in	in	ADP
ijassa-2030	112	14	three	three	NUM
ijassa-2030	112	15	types	type	NOUN
ijassa-2030	112	16	of	of	ADP
ijassa-2030	112	17	currencies	currency	NOUN
ijassa-2030	112	18	with	with	ADP
ijassa-2030	112	19	uncertain	uncertain	ADJ
ijassa-2030	112	20	future	future	ADJ
ijassa-2030	112	21	rates	rate	NOUN
ijassa-2030	112	22	.	.	PUNCT
ijassa-2030	113	1	the	the	DET
ijassa-2030	113	2	advantage	advantage	NOUN
ijassa-2030	113	3	of	of	ADP
ijassa-2030	113	4	the	the	DET
ijassa-2030	113	5	method	method	NOUN
ijassa-2030	113	6	is	be	AUX
ijassa-2030	113	7	to	to	PART
ijassa-2030	113	8	obtain	obtain	VERB
ijassa-2030	113	9	the	the	DET
ijassa-2030	113	10	solution	solution	NOUN
ijassa-2030	113	11	in	in	ADP
ijassa-2030	113	12	analytical	analytical	ADJ
ijassa-2030	113	13	form	form	NOUN
ijassa-2030	113	14	,	,	PUNCT
ijassa-2030	113	15	which	which	PRON
ijassa-2030	113	16	made	make	VERB
ijassa-2030	113	17	it	it	PRON
ijassa-2030	113	18	possible	possible	ADJ
ijassa-2030	113	19	to	to	PART
ijassa-2030	113	20	perform	perform	VERB
ijassa-2030	113	21	multivariate	multivariate	NOUN
ijassa-2030	113	22	calculations	calculation	NOUN
ijassa-2030	113	23	in	in	ADP
ijassa-2030	113	24	excel	excel	NOUN
ijassa-2030	113	25	and	and	CCONJ
ijassa-2030	113	26	present	present	VERB
ijassa-2030	113	27	their	their	PRON
ijassa-2030	113	28	results	result	NOUN
ijassa-2030	113	29	in	in	ADP
ijassa-2030	113	30	tabular	tabular	NOUN
ijassa-2030	113	31	and	and	CCONJ
ijassa-2030	113	32	graphical	graphical	ADJ
ijassa-2030	113	33	form	form	NOUN
ijassa-2030	113	34	.	.	PUNCT
ijassa-2030	114	1	however	however	ADV
ijassa-2030	114	2	,	,	PUNCT
ijassa-2030	114	3	the	the	DET
ijassa-2030	114	4	capabilities	capability	NOUN
ijassa-2030	114	5	of	of	ADP
ijassa-2030	114	6	the	the	DET
ijassa-2030	114	7	method	method	NOUN
ijassa-2030	114	8	are	be	AUX
ijassa-2030	114	9	limited	limit	VERB
ijassa-2030	114	10	by	by	ADP
ijassa-2030	114	11	low	low	ADJ
ijassa-2030	114	12	dimensions	dimension	NOUN
ijassa-2030	114	13	of	of	ADP
ijassa-2030	114	14	the	the	DET
ijassa-2030	114	15	problems	problem	NOUN
ijassa-2030	114	16	.	.	PUNCT
ijassa-2030	115	1	on	on	ADP
ijassa-2030	115	2	the	the	DET
ijassa-2030	115	3	other	other	ADJ
ijassa-2030	115	4	hand	hand	NOUN
ijassa-2030	115	5	,	,	PUNCT
ijassa-2030	115	6	the	the	DET
ijassa-2030	115	7	use	use	NOUN
ijassa-2030	115	8	of	of	ADP
ijassa-2030	115	9	piecewise	piecewise	NOUN
ijassa-2030	115	10	linear	linear	NOUN
ijassa-2030	115	11	programming	programming	NOUN
ijassa-2030	115	12	methods	method	NOUN
ijassa-2030	115	13	allows	allow	VERB
ijassa-2030	115	14	to	to	PART
ijassa-2030	115	15	deal	deal	VERB
ijassa-2030	115	16	with	with	ADP
ijassa-2030	115	17	problems	problem	NOUN
ijassa-2030	115	18	of	of	ADP
ijassa-2030	115	19	higher	high	ADJ
ijassa-2030	115	20	dimensionality	dimensionality	NOUN
ijassa-2030	115	21	,	,	PUNCT
ijassa-2030	115	22	but	but	CCONJ
ijassa-2030	115	23	there	there	PRON
ijassa-2030	115	24	remains	remain	VERB
ijassa-2030	115	25	the	the	DET
ijassa-2030	115	26	need	need	NOUN
ijassa-2030	115	27	to	to	PART
ijassa-2030	115	28	pre	pre	VERB
ijassa-2030	115	29	-	-	VERB
ijassa-2030	115	30	calculate	calculate	VERB
ijassa-2030	115	31	the	the	DET
ijassa-2030	115	32	guaranteed	guarantee	VERB
ijassa-2030	115	33	risk	risk	NOUN
ijassa-2030	115	34	v.s.	v.s.	X
ijassa-2030	115	35	molostvov	molostvov	PROPN
ijassa-2030	115	36	6	6	NUM
ijassa-2030	115	37	copyright	copyright	NOUN
ijassa-2030	115	38	©	©	PROPN
ijassa-2030	115	39	2025	2025	NUM
ijassa-2030	115	40	assa	assa	PROPN
ijassa-2030	115	41	adv	adv	PROPN
ijassa-2030	115	42	.	.	PUNCT
ijassa-2030	116	1	in	in	ADP
ijassa-2030	116	2	systems	system	NOUN
ijassa-2030	116	3	science	science	NOUN
ijassa-2030	116	4	and	and	CCONJ
ijassa-2030	116	5	appl	appl	NOUN
ijassa-2030	116	6	.	.	PUNCT
ijassa-2030	117	1	(	(	PUNCT
ijassa-2030	117	2	2025	2025	NUM
ijassa-2030	117	3	)	)	PUNCT
ijassa-2030	117	4	function	function	NOUN
ijassa-2030	117	5	.	.	PUNCT
ijassa-2030	118	1	in	in	ADP
ijassa-2030	118	2	addition	addition	NOUN
ijassa-2030	118	3	,	,	PUNCT
ijassa-2030	118	4	this	this	DET
ijassa-2030	118	5	method	method	NOUN
ijassa-2030	118	6	is	be	AUX
ijassa-2030	118	7	less	less	ADV
ijassa-2030	118	8	explicit	explicit	ADJ
ijassa-2030	118	9	and	and	CCONJ
ijassa-2030	118	10	it	it	PRON
ijassa-2030	118	11	is	be	AUX
ijassa-2030	118	12	more	more	ADV
ijassa-2030	118	13	difficult	difficult	ADJ
ijassa-2030	118	14	to	to	PART
ijassa-2030	118	15	perform	perform	VERB
ijassa-2030	118	16	multivariate	multivariate	NOUN
ijassa-2030	118	17	calculations	calculation	NOUN
ijassa-2030	118	18	.	.	PUNCT
ijassa-2030	119	1	therefore	therefore	ADV
ijassa-2030	119	2	,	,	PUNCT
ijassa-2030	119	3	a	a	DET
ijassa-2030	119	4	combination	combination	NOUN
ijassa-2030	119	5	of	of	ADP
ijassa-2030	119	6	these	these	DET
ijassa-2030	119	7	two	two	NUM
ijassa-2030	119	8	approaches	approach	NOUN
ijassa-2030	119	9	seems	seem	VERB
ijassa-2030	119	10	promising	promise	VERB
ijassa-2030	119	11	.	.	PUNCT
ijassa-2030	120	1	5	5	X
ijassa-2030	120	2	.	.	X
ijassa-2030	120	3	solving	solve	VERB
ijassa-2030	120	4	the	the	DET
ijassa-2030	120	5	problem	problem	NOUN
ijassa-2030	120	6	of	of	ADP
ijassa-2030	120	7	optimal	optimal	ADJ
ijassa-2030	120	8	resource	resource	NOUN
ijassa-2030	120	9	allocation	allocation	NOUN
ijassa-2030	120	10	for	for	ADP
ijassa-2030	120	11	three	three	NUM
ijassa-2030	120	12	types	type	NOUN
ijassa-2030	120	13	of	of	ADP
ijassa-2030	120	14	deposits	deposit	NOUN
ijassa-2030	120	15	the	the	DET
ijassa-2030	120	16	problem	problem	NOUN
ijassa-2030	120	17	of	of	ADP
ijassa-2030	120	18	the	the	DET
ijassa-2030	120	19	optimal	optimal	ADJ
ijassa-2030	120	20	structure	structure	NOUN
ijassa-2030	120	21	of	of	ADP
ijassa-2030	120	22	a	a	DET
ijassa-2030	120	23	multi	multi	ADJ
ijassa-2030	120	24	-	-	ADJ
ijassa-2030	120	25	currency	currency	ADJ
ijassa-2030	120	26	deposit	deposit	NOUN
ijassa-2030	121	1	[	[	X
ijassa-2030	121	2	4	4	X
ijassa-2030	121	3	]	]	PUNCT
ijassa-2030	121	4	is	be	AUX
ijassa-2030	121	5	of	of	ADP
ijassa-2030	121	6	great	great	ADJ
ijassa-2030	121	7	practical	practical	ADJ
ijassa-2030	121	8	interest	interest	NOUN
ijassa-2030	121	9	.	.	PUNCT
ijassa-2030	122	1	let	let	VERB
ijassa-2030	122	2	a	a	DET
ijassa-2030	122	3	unit	unit	NOUN
ijassa-2030	122	4	of	of	ADP
ijassa-2030	122	5	money	money	NOUN
ijassa-2030	122	6	in	in	ADP
ijassa-2030	122	7	the	the	DET
ijassa-2030	122	8	currency	currency	NOUN
ijassa-2030	122	9	𝑉	𝑉	PROPN
ijassa-2030	122	10	be	be	AUX
ijassa-2030	122	11	distributed	distribute	VERB
ijassa-2030	122	12	over	over	ADP
ijassa-2030	122	13	three	three	NUM
ijassa-2030	122	14	deposits	deposit	NOUN
ijassa-2030	122	15	in	in	ADP
ijassa-2030	122	16	the	the	DET
ijassa-2030	122	17	currencies	currency	NOUN
ijassa-2030	122	18	𝑉	𝑉	PROPN
ijassa-2030	122	19	,	,	PUNCT
ijassa-2030	122	20	𝑉	𝑉	PROPN
ijassa-2030	122	21	,	,	PUNCT
ijassa-2030	122	22	𝑉	𝑉	PROPN
ijassa-2030	122	23	with	with	ADP
ijassa-2030	122	24	known	know	VERB
ijassa-2030	122	25	interest	interest	NOUN
ijassa-2030	122	26	rates	rate	NOUN
ijassa-2030	122	27	𝑑	𝑑	PRON
ijassa-2030	122	28	,	,	PUNCT
ijassa-2030	122	29	𝑑	𝑑	PROPN
ijassa-2030	122	30	,	,	PUNCT
ijassa-2030	122	31	𝑑	𝑑	PROPN
ijassa-2030	122	32	.	.	PUNCT
ijassa-2030	123	1	one	one	NUM
ijassa-2030	123	2	of	of	ADP
ijassa-2030	123	3	the	the	DET
ijassa-2030	123	4	currencies	currency	NOUN
ijassa-2030	123	5	,	,	PUNCT
ijassa-2030	123	6	𝑉	𝑉	PROPN
ijassa-2030	123	7	,	,	PUNCT
ijassa-2030	123	8	is	be	AUX
ijassa-2030	123	9	used	use	VERB
ijassa-2030	123	10	to	to	PART
ijassa-2030	123	11	calculate	calculate	VERB
ijassa-2030	123	12	the	the	DET
ijassa-2030	123	13	total	total	ADJ
ijassa-2030	123	14	income	income	NOUN
ijassa-2030	123	15	at	at	ADP
ijassa-2030	123	16	the	the	DET
ijassa-2030	123	17	end	end	NOUN
ijassa-2030	123	18	of	of	ADP
ijassa-2030	123	19	the	the	DET
ijassa-2030	123	20	period	period	NOUN
ijassa-2030	123	21	of	of	ADP
ijassa-2030	123	22	deposits	deposit	NOUN
ijassa-2030	123	23	:	:	PUNCT
ijassa-2030	123	24	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	123	25	,	,	PUNCT
ijassa-2030	123	26	𝑦	𝑦	NOUN
ijassa-2030	123	27	)	)	PUNCT
ijassa-2030	123	28	=	=	SYM
ijassa-2030	124	1	1	1	NUM
ijassa-2030	124	2	+	+	CCONJ
ijassa-2030	124	3	𝑑	𝑑	PROPN
ijassa-2030	124	4	𝐾	𝐾	PROPN
ijassa-2030	124	5	𝑥	𝑥	PROPN
ijassa-2030	124	6	𝑦	𝑦	NOUN
ijassa-2030	124	7	+	+	CCONJ
ijassa-2030	124	8	1	1	NUM
ijassa-2030	124	9	+	+	CCONJ
ijassa-2030	124	10	𝑑	𝑑	PROPN
ijassa-2030	124	11	𝐾	𝐾	PROPN
ijassa-2030	124	12	𝑥	𝑥	PROPN
ijassa-2030	124	13	𝑦	𝑦	NOUN
ijassa-2030	124	14	+	+	CCONJ
ijassa-2030	124	15	(	(	PUNCT
ijassa-2030	124	16	1	1	NUM
ijassa-2030	124	17	+	+	CCONJ
ijassa-2030	124	18	𝑑	𝑑	NOUN
ijassa-2030	124	19	)	)	PUNCT
ijassa-2030	124	20	𝑥	𝑥	NOUN
ijassa-2030	124	21	,	,	PUNCT
ijassa-2030	124	22	(	(	PUNCT
ijassa-2030	124	23	17	17	NUM
ijassa-2030	124	24	)	)	PUNCT
ijassa-2030	124	25	where	where	SCONJ
ijassa-2030	124	26	𝑥	𝑥	PROPN
ijassa-2030	124	27	is	be	AUX
ijassa-2030	124	28	the	the	DET
ijassa-2030	124	29	amount	amount	NOUN
ijassa-2030	124	30	of	of	ADP
ijassa-2030	124	31	currency	currency	NOUN
ijassa-2030	124	32	𝑉	𝑉	PROPN
ijassa-2030	124	33	,	,	PUNCT
ijassa-2030	124	34	converted	convert	VERB
ijassa-2030	124	35	at	at	ADP
ijassa-2030	124	36	the	the	DET
ijassa-2030	124	37	initial	initial	ADJ
ijassa-2030	124	38	rate	rate	NOUN
ijassa-2030	124	39	𝐾	𝐾	PROPN
ijassa-2030	124	40	to	to	ADP
ijassa-2030	124	41	currency	currency	NOUN
ijassa-2030	124	42	𝑉	𝑉	PROPN
ijassa-2030	124	43	(	(	PUNCT
ijassa-2030	124	44	𝑖	𝑖	NOUN
ijassa-2030	124	45	=	=	SYM
ijassa-2030	124	46	1,2	1,2	NUM
ijassa-2030	124	47	)	)	PUNCT
ijassa-2030	124	48	,	,	PUNCT
ijassa-2030	124	49	𝑥	𝑥	PROPN
ijassa-2030	124	50	is	be	AUX
ijassa-2030	124	51	the	the	DET
ijassa-2030	124	52	remaining	remain	VERB
ijassa-2030	124	53	resource	resource	NOUN
ijassa-2030	124	54	to	to	PART
ijassa-2030	124	55	deposit	deposit	VERB
ijassa-2030	124	56	in	in	ADP
ijassa-2030	124	57	currency	currency	NOUN
ijassa-2030	124	58	𝑉	𝑉	PROPN
ijassa-2030	124	59	.	.	PUNCT
ijassa-2030	125	1	the	the	DET
ijassa-2030	125	2	initial	initial	ADJ
ijassa-2030	125	3	rates	rate	NOUN
ijassa-2030	125	4	𝐾	𝐾	PROPN
ijassa-2030	125	5	,	,	PUNCT
ijassa-2030	125	6	𝐾	𝐾	PROPN
ijassa-2030	125	7	are	be	AUX
ijassa-2030	125	8	assumed	assume	VERB
ijassa-2030	125	9	to	to	PART
ijassa-2030	125	10	be	be	AUX
ijassa-2030	125	11	known	know	VERB
ijassa-2030	125	12	,	,	PUNCT
ijassa-2030	125	13	while	while	SCONJ
ijassa-2030	125	14	𝑦	𝑦	PRON
ijassa-2030	125	15	,	,	PUNCT
ijassa-2030	125	16	𝑦	𝑦	PRON
ijassa-2030	125	17	are	be	AUX
ijassa-2030	125	18	the	the	DET
ijassa-2030	125	19	unknown	unknown	ADJ
ijassa-2030	125	20	rates	rate	NOUN
ijassa-2030	125	21	of	of	ADP
ijassa-2030	125	22	currencies	currency	NOUN
ijassa-2030	125	23	𝑉	𝑉	PROPN
ijassa-2030	125	24	,	,	PUNCT
ijassa-2030	125	25	𝑉	𝑉	PROPN
ijassa-2030	125	26	relative	relative	ADJ
ijassa-2030	125	27	to	to	ADP
ijassa-2030	125	28	currency	currency	NOUN
ijassa-2030	125	29	𝑉	𝑉	PROPN
ijassa-2030	125	30	at	at	ADP
ijassa-2030	125	31	the	the	DET
ijassa-2030	125	32	end	end	NOUN
ijassa-2030	125	33	of	of	ADP
ijassa-2030	125	34	the	the	DET
ijassa-2030	125	35	deposit	deposit	NOUN
ijassa-2030	125	36	period	period	NOUN
ijassa-2030	125	37	.	.	PUNCT
ijassa-2030	126	1	regarding	regard	VERB
ijassa-2030	126	2	uncertain	uncertain	ADJ
ijassa-2030	126	3	rates	rate	NOUN
ijassa-2030	126	4	𝑦	𝑦	PRON
ijassa-2030	126	5	,	,	PUNCT
ijassa-2030	126	6	𝑦	𝑦	PRON
ijassa-2030	126	7	we	we	PRON
ijassa-2030	126	8	assume	assume	VERB
ijassa-2030	126	9	that	that	SCONJ
ijassa-2030	126	10	they	they	PRON
ijassa-2030	126	11	can	can	AUX
ijassa-2030	126	12	take	take	VERB
ijassa-2030	126	13	any	any	DET
ijassa-2030	126	14	value	value	NOUN
ijassa-2030	126	15	from	from	ADP
ijassa-2030	126	16	the	the	DET
ijassa-2030	126	17	given	give	VERB
ijassa-2030	126	18	intervals	interval	NOUN
ijassa-2030	126	19	𝑦	𝑦	NOUN
ijassa-2030	126	20	∈	∈	NOUN
ijassa-2030	127	1	[	[	X
ijassa-2030	127	2	𝑎	𝑎	X
ijassa-2030	127	3	,	,	PUNCT
ijassa-2030	127	4	𝑏	𝑏	NOUN
ijassa-2030	127	5	]	]	X
ijassa-2030	127	6	,	,	PUNCT
ijassa-2030	127	7	(	(	PUNCT
ijassa-2030	127	8	𝑖	𝑖	SYM
ijassa-2030	127	9	=	=	SYM
ijassa-2030	127	10	1,2	1,2	NUM
ijassa-2030	127	11	)	)	PUNCT
ijassa-2030	127	12	.	.	PUNCT
ijassa-2030	128	1	(	(	PUNCT
ijassa-2030	128	2	18	18	NUM
ijassa-2030	128	3	)	)	PUNCT
ijassa-2030	128	4	this	this	DET
ijassa-2030	128	5	problem	problem	NOUN
ijassa-2030	128	6	is	be	AUX
ijassa-2030	128	7	a	a	DET
ijassa-2030	128	8	special	special	ADJ
ijassa-2030	128	9	case	case	NOUN
ijassa-2030	128	10	of	of	ADP
ijassa-2030	128	11	the	the	DET
ijassa-2030	128	12	problem	problem	NOUN
ijassa-2030	128	13	(	(	PUNCT
ijassa-2030	128	14	1)–(3	1)–(3	NUM
ijassa-2030	128	15	):	):	PUNCT
ijassa-2030	128	16	𝑚	𝑚	PROPN
ijassa-2030	128	17	=	=	SYM
ijassa-2030	128	18	𝑛	𝑛	PROPN
ijassa-2030	128	19	=	=	SYM
ijassa-2030	128	20	3	3	NUM
ijassa-2030	128	21	;	;	PUNCT
ijassa-2030	128	22	𝑐	𝑐	NOUN
ijassa-2030	128	23	=	=	SYM
ijassa-2030	128	24	0	0	PROPN
ijassa-2030	128	25	,	,	PUNCT
ijassa-2030	128	26	𝑖𝑓	𝑖𝑓	ADP
ijassa-2030	128	27	𝑖	𝑖	SYM
ijassa-2030	128	28	≠	≠	PROPN
ijassa-2030	128	29	𝑗	𝑗	PROPN
ijassa-2030	128	30	;	;	PUNCT
ijassa-2030	128	31	𝑐	𝑐	NOUN
ijassa-2030	128	32	=	=	SYM
ijassa-2030	128	33	1	1	NUM
ijassa-2030	128	34	+	+	CCONJ
ijassa-2030	128	35	𝑑	𝑑	PROPN
ijassa-2030	128	36	𝐾	𝐾	PROPN
ijassa-2030	128	37	(	(	PUNCT
ijassa-2030	128	38	𝑖	𝑖	NOUN
ijassa-2030	128	39	=	=	SYM
ijassa-2030	128	40	1,2	1,2	NUM
ijassa-2030	128	41	)	)	PUNCT
ijassa-2030	128	42	,	,	PUNCT
ijassa-2030	128	43	𝑐	𝑐	NOUN
ijassa-2030	128	44	=	=	PUNCT
ijassa-2030	128	45	(	(	PUNCT
ijassa-2030	128	46	1	1	NUM
ijassa-2030	128	47	+	+	CCONJ
ijassa-2030	128	48	𝑑	𝑑	NOUN
ijassa-2030	128	49	)	)	PUNCT
ijassa-2030	128	50	,	,	PUNCT
ijassa-2030	128	51	𝐾	𝐾	PROPN
ijassa-2030	128	52	=	=	SYM
ijassa-2030	128	53	1	1	NUM
ijassa-2030	128	54	(	(	PUNCT
ijassa-2030	128	55	19	19	NUM
ijassa-2030	128	56	)	)	PUNCT
ijassa-2030	128	57	and	and	CCONJ
ijassa-2030	128	58	the	the	DET
ijassa-2030	128	59	set	set	NOUN
ijassa-2030	128	60	of	of	ADP
ijassa-2030	128	61	acceptable	acceptable	ADJ
ijassa-2030	128	62	strategies	strategy	NOUN
ijassa-2030	128	63	of	of	ADP
ijassa-2030	128	64	the	the	DET
ijassa-2030	128	65	dm	dm	NOUN
ijassa-2030	128	66	and	and	CCONJ
ijassa-2030	128	67	the	the	DET
ijassa-2030	128	68	set	set	NOUN
ijassa-2030	128	69	of	of	ADP
ijassa-2030	128	70	possible	possible	ADJ
ijassa-2030	128	71	states	state	NOUN
ijassa-2030	128	72	of	of	ADP
ijassa-2030	128	73	uncertainty	uncertainty	NOUN
ijassa-2030	128	74	are	be	AUX
ijassa-2030	128	75	given	give	VERB
ijassa-2030	128	76	by	by	ADP
ijassa-2030	128	77	linear	linear	ADJ
ijassa-2030	128	78	constraints	constraint	NOUN
ijassa-2030	128	79	𝑥	𝑥	VERB
ijassa-2030	128	80	+	+	CCONJ
ijassa-2030	128	81	𝑥	𝑥	X
ijassa-2030	129	1	+	+	CCONJ
ijassa-2030	129	2	𝑥	𝑥	NOUN
ijassa-2030	129	3	=	=	SYM
ijassa-2030	129	4	1	1	NUM
ijassa-2030	129	5	,	,	PUNCT
ijassa-2030	129	6	𝑥	𝑥	PRON
ijassa-2030	129	7	≥	≥	NOUN
ijassa-2030	129	8	0	0	PUNCT
ijassa-2030	130	1	(	(	PUNCT
ijassa-2030	130	2	𝑖	𝑖	SYM
ijassa-2030	130	3	=	=	NOUN
ijassa-2030	130	4	1,2,3	1,2,3	NUM
ijassa-2030	130	5	)	)	PUNCT
ijassa-2030	130	6	,	,	PUNCT
ijassa-2030	130	7	𝑎	𝑎	PROPN
ijassa-2030	130	8	≤	≤	NUM
ijassa-2030	130	9	𝑦	𝑦	SYM
ijassa-2030	130	10	≤	≤	NOUN
ijassa-2030	130	11	𝑏	𝑏	NOUN
ijassa-2030	130	12	(	(	PUNCT
ijassa-2030	130	13	𝑗	𝑗	NOUN
ijassa-2030	130	14	=	=	SYM
ijassa-2030	130	15	1,2	1,2	NUM
ijassa-2030	130	16	)	)	PUNCT
ijassa-2030	130	17	,	,	PUNCT
ijassa-2030	130	18	𝑦	𝑦	NOUN
ijassa-2030	130	19	=	=	SYM
ijassa-2030	130	20	1	1	X
ijassa-2030	130	21	.	.	PUNCT
ijassa-2030	131	1	(	(	PUNCT
ijassa-2030	131	2	20	20	NUM
ijassa-2030	131	3	)	)	PUNCT
ijassa-2030	131	4	the	the	DET
ijassa-2030	131	5	dimensionality	dimensionality	NOUN
ijassa-2030	131	6	of	of	ADP
ijassa-2030	131	7	the	the	DET
ijassa-2030	131	8	problem	problem	NOUN
ijassa-2030	131	9	can	can	AUX
ijassa-2030	131	10	be	be	AUX
ijassa-2030	131	11	reduced	reduce	VERB
ijassa-2030	131	12	by	by	ADP
ijassa-2030	131	13	excluding	exclude	VERB
ijassa-2030	131	14	the	the	DET
ijassa-2030	131	15	variable	variable	NOUN
ijassa-2030	131	16	𝑥	𝑥	PROPN
ijassa-2030	131	17	from	from	ADP
ijassa-2030	131	18	the	the	DET
ijassa-2030	131	19	constraints	constraint	NOUN
ijassa-2030	131	20	and	and	CCONJ
ijassa-2030	131	21	the	the	DET
ijassa-2030	131	22	target	target	NOUN
ijassa-2030	131	23	function	function	NOUN
ijassa-2030	131	24	,	,	PUNCT
ijassa-2030	131	25	using	use	VERB
ijassa-2030	131	26	the	the	DET
ijassa-2030	131	27	constraint	constraint	NOUN
ijassa-2030	131	28	-	-	PUNCT
ijassa-2030	131	29	equality	equality	NOUN
ijassa-2030	131	30	𝑥	𝑥	NOUN
ijassa-2030	131	31	=	=	SYM
ijassa-2030	131	32	1	1	NUM
ijassa-2030	131	33	−	−	NOUN
ijassa-2030	131	34	𝑥	𝑥	PRON
ijassa-2030	131	35	−	−	PROPN
ijassa-2030	131	36	𝑥	𝑥	INTJ
ijassa-2030	131	37	.	.	PUNCT
ijassa-2030	132	1	we	we	PRON
ijassa-2030	132	2	obtain	obtain	VERB
ijassa-2030	132	3	a	a	DET
ijassa-2030	132	4	problem	problem	NOUN
ijassa-2030	132	5	with	with	ADP
ijassa-2030	132	6	two	two	NUM
ijassa-2030	132	7	variables	variable	NOUN
ijassa-2030	132	8	(	(	PUNCT
ijassa-2030	132	9	𝑥	𝑥	INTJ
ijassa-2030	132	10	,	,	PUNCT
ijassa-2030	132	11	𝑥	𝑥	PROPN
ijassa-2030	132	12	)	)	PUNCT
ijassa-2030	132	13	as	as	ADP
ijassa-2030	132	14	dm	dm	PROPN
ijassa-2030	132	15	’s	’s	PART
ijassa-2030	132	16	decisions	decision	NOUN
ijassa-2030	132	17	and	and	CCONJ
ijassa-2030	132	18	two	two	NUM
ijassa-2030	132	19	uncertain	uncertain	ADJ
ijassa-2030	132	20	exchange	exchange	NOUN
ijassa-2030	132	21	rates	rate	NOUN
ijassa-2030	132	22	(	(	PUNCT
ijassa-2030	132	23	𝑦	𝑦	NOUN
ijassa-2030	132	24	,	,	PUNCT
ijassa-2030	132	25	𝑦	𝑦	NOUN
ijassa-2030	132	26	):	):	PUNCT
ijassa-2030	132	27	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	132	28	,	,	PUNCT
ijassa-2030	132	29	𝑥	𝑥	X
ijassa-2030	132	30	,	,	PUNCT
ijassa-2030	132	31	𝑦	𝑦	NOUN
ijassa-2030	132	32	,	,	PUNCT
ijassa-2030	132	33	𝑦	𝑦	NOUN
ijassa-2030	132	34	)	)	PUNCT
ijassa-2030	132	35	=	=	SYM
ijassa-2030	133	1	1	1	NUM
ijassa-2030	133	2	+	+	CCONJ
ijassa-2030	133	3	𝑑	𝑑	PROPN
ijassa-2030	133	4	𝐾	𝐾	PROPN
ijassa-2030	133	5	𝑥	𝑥	PROPN
ijassa-2030	133	6	𝑦	𝑦	NOUN
ijassa-2030	133	7	+	+	CCONJ
ijassa-2030	133	8	1	1	NUM
ijassa-2030	133	9	+	+	CCONJ
ijassa-2030	133	10	𝑑	𝑑	PROPN
ijassa-2030	133	11	𝐾	𝐾	PROPN
ijassa-2030	133	12	𝑥	𝑥	PROPN
ijassa-2030	133	13	𝑦	𝑦	NOUN
ijassa-2030	133	14	+	+	CCONJ
ijassa-2030	133	15	(	(	PUNCT
ijassa-2030	133	16	1	1	NUM
ijassa-2030	133	17	+	+	CCONJ
ijassa-2030	133	18	𝑑	𝑑	NOUN
ijassa-2030	133	19	)	)	PUNCT
ijassa-2030	133	20	(	(	PUNCT
ijassa-2030	133	21	1	1	NUM
ijassa-2030	133	22	−	−	NOUN
ijassa-2030	133	23	𝑥	𝑥	PRON
ijassa-2030	133	24	−	−	NOUN
ijassa-2030	133	25	𝑥	𝑥	NOUN
ijassa-2030	133	26	)	)	PUNCT
ijassa-2030	133	27	,	,	PUNCT
ijassa-2030	133	28	(	(	PUNCT
ijassa-2030	133	29	21	21	X
ijassa-2030	133	30	)	)	PUNCT
ijassa-2030	133	31	𝑋	𝑋	NOUN
ijassa-2030	133	32	=	=	PUNCT
ijassa-2030	133	33	𝑥	𝑥	PROPN
ijassa-2030	134	1	+	+	CCONJ
ijassa-2030	134	2	𝑥	𝑥	VERB
ijassa-2030	134	3	≤	≤	NUM
ijassa-2030	134	4	1	1	NUM
ijassa-2030	134	5	𝑥	𝑥	NOUN
ijassa-2030	134	6	,	,	PUNCT
ijassa-2030	134	7	𝑥	𝑥	PROPN
ijassa-2030	134	8	≥	≥	NOUN
ijassa-2030	134	9	0	0	NUM
ijassa-2030	134	10	,	,	PUNCT
ijassa-2030	134	11	(	(	PUNCT
ijassa-2030	134	12	22	22	NUM
ijassa-2030	134	13	)	)	PUNCT
ijassa-2030	134	14	𝑌	𝑌	NOUN
ijassa-2030	134	15	=	=	PUNCT
ijassa-2030	135	1	𝑎	𝑎	PRON
ijassa-2030	135	2	≤	≤	NUM
ijassa-2030	135	3	𝑦	𝑦	SYM
ijassa-2030	135	4	≤	≤	NOUN
ijassa-2030	135	5	𝑏	𝑏	ADP
ijassa-2030	135	6	𝑎	𝑎	NOUN
ijassa-2030	135	7	≤	≤	NUM
ijassa-2030	135	8	𝑦	𝑦	SYM
ijassa-2030	135	9	≤	≤	NOUN
ijassa-2030	135	10	𝑏	𝑏	NOUN
ijassa-2030	135	11	.	.	PUNCT
ijassa-2030	136	1	(	(	PUNCT
ijassa-2030	136	2	23	23	NUM
ijassa-2030	136	3	)	)	PUNCT
ijassa-2030	136	4	in	in	ADP
ijassa-2030	136	5	[	[	X
ijassa-2030	136	6	5	5	NUM
ijassa-2030	136	7	]	]	PUNCT
ijassa-2030	136	8	an	an	DET
ijassa-2030	136	9	explicit	explicit	ADJ
ijassa-2030	136	10	form	form	NOUN
ijassa-2030	136	11	of	of	ADP
ijassa-2030	136	12	the	the	DET
ijassa-2030	136	13	piecewise	piecewise	NOUN
ijassa-2030	136	14	linear	linear	PROPN
ijassa-2030	136	15	risk	risk	NOUN
ijassa-2030	136	16	function	function	NOUN
ijassa-2030	136	17	was	be	AUX
ijassa-2030	136	18	obtained	obtain	VERB
ijassa-2030	136	19	.	.	PUNCT
ijassa-2030	137	1	in	in	ADP
ijassa-2030	137	2	the	the	DET
ijassa-2030	137	3	same	same	ADJ
ijassa-2030	137	4	article	article	NOUN
ijassa-2030	137	5	,	,	PUNCT
ijassa-2030	137	6	the	the	DET
ijassa-2030	137	7	expression	expression	NOUN
ijassa-2030	137	8	for	for	ADP
ijassa-2030	137	9	the	the	DET
ijassa-2030	137	10	guaranteed	guarantee	VERB
ijassa-2030	137	11	risk	risk	NOUN
ijassa-2030	137	12	was	be	AUX
ijassa-2030	137	13	established	establish	VERB
ijassa-2030	137	14	:	:	PUNCT
ijassa-2030	137	15	φ[𝑥	φ[𝑥	ADJ
ijassa-2030	137	16	]	]	X
ijassa-2030	137	17	=	=	SYM
ijassa-2030	137	18	max	max	X
ijassa-2030	137	19	{	{	PUNCT
ijassa-2030	137	20	𝛼	𝛼	NOUN
ijassa-2030	137	21	𝑥	𝑥	PROPN
ijassa-2030	137	22	+	+	NOUN
ijassa-2030	137	23	𝛼	𝛼	PART
ijassa-2030	137	24	𝑥	𝑥	NOUN
ijassa-2030	137	25	,	,	PUNCT
ijassa-2030	137	26	𝛽	𝛽	PROPN
ijassa-2030	137	27	(	(	PUNCT
ijassa-2030	137	28	1	1	NUM
ijassa-2030	137	29	−	−	NOUN
ijassa-2030	137	30	𝑥	𝑥	NOUN
ijassa-2030	137	31	)	)	PUNCT
ijassa-2030	138	1	+	+	NUM
ijassa-2030	138	2	𝛼	𝛼	X
ijassa-2030	138	3	𝑥	𝑥	NOUN
ijassa-2030	138	4	,	,	PUNCT
ijassa-2030	138	5	𝛽	𝛽	PROPN
ijassa-2030	138	6	(	(	PUNCT
ijassa-2030	138	7	1	1	NUM
ijassa-2030	138	8	−	−	NOUN
ijassa-2030	138	9	𝑥	𝑥	NOUN
ijassa-2030	138	10	)	)	PUNCT
ijassa-2030	138	11	+	+	CCONJ
ijassa-2030	138	12	𝛼	𝛼	X
ijassa-2030	138	13	𝑥	𝑥	NOUN
ijassa-2030	138	14	}	}	PUNCT
ijassa-2030	138	15	,	,	PUNCT
ijassa-2030	138	16	𝑥	𝑥	PROPN
ijassa-2030	138	17	∈	∈	PROPN
ijassa-2030	138	18	𝑋.	𝑋.	PROPN
ijassa-2030	138	19	(	(	PUNCT
ijassa-2030	138	20	24	24	NUM
ijassa-2030	138	21	)	)	PUNCT
ijassa-2030	138	22	here	here	ADV
ijassa-2030	138	23	,	,	PUNCT
ijassa-2030	138	24	the	the	DET
ijassa-2030	138	25	coefficients	coefficient	NOUN
ijassa-2030	138	26	of	of	ADP
ijassa-2030	138	27	the	the	DET
ijassa-2030	138	28	linear	linear	ADJ
ijassa-2030	138	29	functions	function	NOUN
ijassa-2030	138	30	forming	form	VERB
ijassa-2030	138	31	the	the	DET
ijassa-2030	138	32	piecewise	piecewise	NOUN
ijassa-2030	138	33	linear	linear	NOUN
ijassa-2030	138	34	function	function	NOUN
ijassa-2030	138	35	(	(	PUNCT
ijassa-2030	138	36	24	24	NUM
ijassa-2030	138	37	)	)	PUNCT
ijassa-2030	138	38	are	be	AUX
ijassa-2030	138	39	determined	determine	VERB
ijassa-2030	138	40	by	by	ADP
ijassa-2030	138	41	the	the	DET
ijassa-2030	138	42	initial	initial	ADJ
ijassa-2030	138	43	parameters	parameter	NOUN
ijassa-2030	138	44	of	of	ADP
ijassa-2030	138	45	the	the	DET
ijassa-2030	138	46	problem	problem	NOUN
ijassa-2030	138	47	:	:	PUNCT
ijassa-2030	138	48	𝛼	𝛼	X
ijassa-2030	138	49	=	=	PUNCT
ijassa-2030	138	50	(	(	PUNCT
ijassa-2030	138	51	1	1	NUM
ijassa-2030	138	52	+	+	CCONJ
ijassa-2030	138	53	𝑑	𝑑	NOUN
ijassa-2030	138	54	)	)	PUNCT
ijassa-2030	138	55	−	−	PROPN
ijassa-2030	139	1	1	1	NUM
ijassa-2030	140	1	+	+	CCONJ
ijassa-2030	140	2	𝑑	𝑑	PROPN
ijassa-2030	140	3	𝐾	𝐾	PROPN
ijassa-2030	140	4	𝑎	𝑎	PROPN
ijassa-2030	140	5	(	(	PUNCT
ijassa-2030	140	6	𝑖	𝑖	NOUN
ijassa-2030	140	7	=	=	SYM
ijassa-2030	140	8	1,2	1,2	NUM
ijassa-2030	140	9	)	)	PUNCT
ijassa-2030	140	10	,	,	PUNCT
ijassa-2030	140	11	(	(	PUNCT
ijassa-2030	140	12	25	25	NUM
ijassa-2030	140	13	)	)	PUNCT
ijassa-2030	140	14	7	7	NUM
ijassa-2030	140	15	optimization	optimization	NOUN
ijassa-2030	140	16	of	of	ADP
ijassa-2030	140	17	deposit	deposit	NOUN
ijassa-2030	140	18	structure	structure	NOUN
ijassa-2030	140	19	by	by	ADP
ijassa-2030	140	20	income	income	NOUN
ijassa-2030	140	21	and	and	CCONJ
ijassa-2030	140	22	risk	risk	NOUN
ijassa-2030	140	23	under	under	ADP
ijassa-2030	140	24	uncertainty	uncertainty	NOUN
ijassa-2030	140	25	copyright	copyright	NOUN
ijassa-2030	140	26	©	©	PROPN
ijassa-2030	140	27	2025	2025	NUM
ijassa-2030	140	28	assa	assa	PROPN
ijassa-2030	140	29	adv	adv	PROPN
ijassa-2030	140	30	.	.	PUNCT
ijassa-2030	141	1	in	in	ADP
ijassa-2030	141	2	systems	system	NOUN
ijassa-2030	141	3	science	science	NOUN
ijassa-2030	141	4	and	and	CCONJ
ijassa-2030	141	5	appl	appl	NOUN
ijassa-2030	141	6	.	.	PUNCT
ijassa-2030	142	1	(	(	PUNCT
ijassa-2030	142	2	2025	2025	NUM
ijassa-2030	142	3	)	)	PUNCT
ijassa-2030	143	1	𝛽	𝛽	NOUN
ijassa-2030	143	2	=	=	SYM
ijassa-2030	143	3	1	1	NUM
ijassa-2030	143	4	+	+	CCONJ
ijassa-2030	143	5	𝑑	𝑑	PROPN
ijassa-2030	143	6	𝐾	𝐾	PROPN
ijassa-2030	143	7	𝑏	𝑏	NOUN
ijassa-2030	143	8	−	−	PROPN
ijassa-2030	143	9	(	(	PUNCT
ijassa-2030	143	10	1	1	NUM
ijassa-2030	143	11	+	+	CCONJ
ijassa-2030	143	12	𝑑	𝑑	NOUN
ijassa-2030	143	13	)	)	PUNCT
ijassa-2030	143	14	(	(	PUNCT
ijassa-2030	143	15	𝑖	𝑖	SYM
ijassa-2030	143	16	=	=	SYM
ijassa-2030	143	17	1,2	1,2	NUM
ijassa-2030	143	18	)	)	PUNCT
ijassa-2030	143	19	.	.	PUNCT
ijassa-2030	144	1	(	(	PUNCT
ijassa-2030	144	2	26	26	NUM
ijassa-2030	144	3	)	)	PUNCT
ijassa-2030	144	4	in	in	ADP
ijassa-2030	144	5	accordance	accordance	NOUN
ijassa-2030	144	6	with	with	ADP
ijassa-2030	144	7	the	the	DET
ijassa-2030	144	8	results	result	NOUN
ijassa-2030	144	9	of	of	ADP
ijassa-2030	144	10	the	the	DET
ijassa-2030	144	11	previous	previous	ADJ
ijassa-2030	144	12	section	section	NOUN
ijassa-2030	144	13	,	,	PUNCT
ijassa-2030	144	14	the	the	DET
ijassa-2030	144	15	optimal	optimal	ADJ
ijassa-2030	144	16	risk	risk	NOUN
ijassa-2030	144	17	-	-	PUNCT
ijassa-2030	144	18	guaranteed	guarantee	VERB
ijassa-2030	144	19	solution	solution	NOUN
ijassa-2030	144	20	can	can	AUX
ijassa-2030	144	21	be	be	AUX
ijassa-2030	144	22	found	find	VERB
ijassa-2030	144	23	from	from	ADP
ijassa-2030	144	24	the	the	DET
ijassa-2030	144	25	following	follow	VERB
ijassa-2030	144	26	linear	linear	ADJ
ijassa-2030	144	27	programming	programming	NOUN
ijassa-2030	144	28	problem	problem	NOUN
ijassa-2030	144	29	:	:	PUNCT
ijassa-2030	144	30	⎩	⎩	NUM
ijassa-2030	144	31	⎪	⎪	NOUN
ijassa-2030	144	32	⎨	⎨	ADJ
ijassa-2030	144	33	⎪	⎪	NOUN
ijassa-2030	144	34	⎧	⎧	PROPN
ijassa-2030	144	35	𝑧	𝑧	PROPN
ijassa-2030	144	36	⟶	⟶	NOUN
ijassa-2030	144	37	min	min	NOUN
ijassa-2030	144	38	,	,	PUNCT
ijassa-2030	144	39	𝑥	𝑥	PROPN
ijassa-2030	144	40	+	+	CCONJ
ijassa-2030	144	41	𝑥	𝑥	VERB
ijassa-2030	144	42	≤	≤	NUM
ijassa-2030	144	43	1	1	NUM
ijassa-2030	144	44	,	,	PUNCT
ijassa-2030	144	45	𝑥	𝑥	INTJ
ijassa-2030	144	46	,	,	PUNCT
ijassa-2030	144	47	𝑥	𝑥	PROPN
ijassa-2030	144	48	≥	≥	NOUN
ijassa-2030	144	49	0	0	NUM
ijassa-2030	144	50	,	,	PUNCT
ijassa-2030	144	51	𝑧	𝑧	PRON
ijassa-2030	144	52	−	−	NOUN
ijassa-2030	144	53	𝛼	𝛼	NOUN
ijassa-2030	144	54	𝑥	𝑥	X
ijassa-2030	144	55	−	−	NOUN
ijassa-2030	144	56	𝛼	𝛼	INTJ
ijassa-2030	144	57	𝑥	𝑥	PRON
ijassa-2030	144	58	≥	≥	NUM
ijassa-2030	144	59	0	0	NUM
ijassa-2030	144	60	,	,	PUNCT
ijassa-2030	144	61	𝑧	𝑧	X
ijassa-2030	144	62	+	+	X
ijassa-2030	144	63	𝛽	𝛽	NOUN
ijassa-2030	144	64	𝑥	𝑥	PRON
ijassa-2030	144	65	−	−	NOUN
ijassa-2030	144	66	𝛼	𝛼	PART
ijassa-2030	144	67	𝑥	𝑥	PROPN
ijassa-2030	144	68	≥	≥	NOUN
ijassa-2030	144	69	𝛽	𝛽	NOUN
ijassa-2030	144	70	,	,	PUNCT
ijassa-2030	144	71	𝑧	𝑧	PROPN
ijassa-2030	144	72	−	−	NOUN
ijassa-2030	144	73	𝛼	𝛼	NOUN
ijassa-2030	144	74	𝑥	𝑥	NOUN
ijassa-2030	145	1	+	+	CCONJ
ijassa-2030	145	2	𝛽	𝛽	NOUN
ijassa-2030	145	3	𝑥	𝑥	PRON
ijassa-2030	145	4	≥	≥	NOUN
ijassa-2030	145	5	𝛽	𝛽	NOUN
ijassa-2030	145	6	.	.	PUNCT
ijassa-2030	146	1	(	(	PUNCT
ijassa-2030	146	2	27	27	NUM
ijassa-2030	146	3	)	)	PUNCT
ijassa-2030	146	4	the	the	DET
ijassa-2030	146	5	optimal	optimal	ADJ
ijassa-2030	146	6	value	value	NOUN
ijassa-2030	146	7	𝑧	𝑧	PUNCT
ijassa-2030	146	8	equals	equal	VERB
ijassa-2030	146	9	the	the	DET
ijassa-2030	146	10	optimal	optimal	ADJ
ijassa-2030	146	11	guaranteed	guarantee	VERB
ijassa-2030	146	12	risk	risk	NOUN
ijassa-2030	146	13	,	,	PUNCT
ijassa-2030	146	14	the	the	DET
ijassa-2030	146	15	minimum	minimum	ADJ
ijassa-2030	146	16	point	point	NOUN
ijassa-2030	146	17	of	of	ADP
ijassa-2030	146	18	𝑥∗	𝑥∗	PROPN
ijassa-2030	146	19	=	=	SYM
ijassa-2030	146	20	(	(	PUNCT
ijassa-2030	146	21	𝑥∗	𝑥∗	PROPN
ijassa-2030	146	22	,	,	PUNCT
ijassa-2030	146	23	𝑥∗	𝑥∗	PROPN
ijassa-2030	146	24	)	)	PUNCT
ijassa-2030	146	25	together	together	ADV
ijassa-2030	146	26	with	with	ADP
ijassa-2030	146	27	𝑥∗	𝑥∗	PROPN
ijassa-2030	146	28	=	=	SYM
ijassa-2030	147	1	1	1	NUM
ijassa-2030	147	2	−	−	NOUN
ijassa-2030	147	3	𝑥∗	𝑥∗	PROPN
ijassa-2030	147	4	−	−	PROPN
ijassa-2030	148	1	𝑥∗	𝑥∗	PROPN
ijassa-2030	148	2	sets	set	VERB
ijassa-2030	148	3	the	the	DET
ijassa-2030	148	4	optimal	optimal	ADJ
ijassa-2030	148	5	allocation	allocation	NOUN
ijassa-2030	148	6	of	of	ADP
ijassa-2030	148	7	a	a	DET
ijassa-2030	148	8	unit	unit	NOUN
ijassa-2030	148	9	of	of	ADP
ijassa-2030	148	10	resource	resource	NOUN
ijassa-2030	148	11	𝑉	𝑉	PROPN
ijassa-2030	148	12	to	to	ADP
ijassa-2030	148	13	the	the	DET
ijassa-2030	148	14	three	three	NUM
ijassa-2030	148	15	contributions	contribution	NOUN
ijassa-2030	148	16	.	.	PUNCT
ijassa-2030	149	1	in	in	ADP
ijassa-2030	149	2	[	[	X
ijassa-2030	149	3	6	6	NUM
ijassa-2030	149	4	]	]	PUNCT
ijassa-2030	149	5	the	the	DET
ijassa-2030	149	6	method	method	NOUN
ijassa-2030	149	7	of	of	ADP
ijassa-2030	149	8	direct	direct	ADJ
ijassa-2030	149	9	solution	solution	NOUN
ijassa-2030	149	10	calculation	calculation	NOUN
ijassa-2030	149	11	was	be	AUX
ijassa-2030	149	12	used	use	VERB
ijassa-2030	149	13	through	through	ADP
ijassa-2030	149	14	the	the	DET
ijassa-2030	149	15	analysis	analysis	NOUN
ijassa-2030	149	16	of	of	ADP
ijassa-2030	149	17	extreme	extreme	ADJ
ijassa-2030	149	18	properties	property	NOUN
ijassa-2030	149	19	of	of	ADP
ijassa-2030	149	20	the	the	DET
ijassa-2030	149	21	guaranteed	guarantee	VERB
ijassa-2030	149	22	risk	risk	NOUN
ijassa-2030	149	23	function	function	NOUN
ijassa-2030	149	24	on	on	ADP
ijassa-2030	149	25	the	the	DET
ijassa-2030	149	26	boundary	boundary	ADJ
ijassa-2030	149	27	and	and	CCONJ
ijassa-2030	149	28	interior	interior	ADJ
ijassa-2030	149	29	parts	part	NOUN
ijassa-2030	149	30	of	of	ADP
ijassa-2030	149	31	the	the	DET
ijassa-2030	149	32	set	set	NOUN
ijassa-2030	149	33	𝑋.	𝑋.	PROPN
ijassa-2030	149	34	the	the	DET
ijassa-2030	149	35	corresponding	corresponding	ADJ
ijassa-2030	149	36	algorithm	algorithm	NOUN
ijassa-2030	149	37	and	and	CCONJ
ijassa-2030	149	38	its	its	PRON
ijassa-2030	149	39	implementation	implementation	NOUN
ijassa-2030	149	40	in	in	ADP
ijassa-2030	149	41	excel	excel	NOUN
ijassa-2030	149	42	were	be	AUX
ijassa-2030	149	43	used	use	VERB
ijassa-2030	149	44	for	for	ADP
ijassa-2030	149	45	multivariate	multivariate	NOUN
ijassa-2030	149	46	oneand	oneand	NOUN
ijassa-2030	149	47	twoparameter	twoparameter	ADJ
ijassa-2030	149	48	calculations	calculation	NOUN
ijassa-2030	149	49	in	in	ADP
ijassa-2030	149	50	the	the	DET
ijassa-2030	149	51	problem	problem	NOUN
ijassa-2030	149	52	with	with	ADP
ijassa-2030	149	53	three	three	NUM
ijassa-2030	149	54	types	type	NOUN
ijassa-2030	149	55	of	of	ADP
ijassa-2030	149	56	currencies	currency	NOUN
ijassa-2030	149	57	.	.	PUNCT
ijassa-2030	150	1	in	in	ADP
ijassa-2030	150	2	parallel	parallel	NOUN
ijassa-2030	150	3	,	,	PUNCT
ijassa-2030	150	4	"	"	PUNCT
ijassa-2030	150	5	pointwise	pointwise	NOUN
ijassa-2030	150	6	"	"	PUNCT
ijassa-2030	150	7	control	control	NOUN
ijassa-2030	150	8	calculations	calculation	NOUN
ijassa-2030	150	9	by	by	ADP
ijassa-2030	150	10	the	the	DET
ijassa-2030	150	11	method	method	NOUN
ijassa-2030	150	12	of	of	ADP
ijassa-2030	150	13	piecewise	piecewise	NOUN
ijassa-2030	150	14	linear	linear	NOUN
ijassa-2030	150	15	programming	programming	NOUN
ijassa-2030	150	16	were	be	AUX
ijassa-2030	150	17	carried	carry	VERB
ijassa-2030	150	18	out	out	ADP
ijassa-2030	150	19	selectively	selectively	ADV
ijassa-2030	150	20	,	,	PUNCT
ijassa-2030	150	21	in	in	ADP
ijassa-2030	150	22	which	which	PRON
ijassa-2030	150	23	the	the	DET
ijassa-2030	150	24	methods	method	NOUN
ijassa-2030	150	25	gave	give	VERB
ijassa-2030	150	26	matching	matching	NOUN
ijassa-2030	150	27	results	result	NOUN
ijassa-2030	150	28	.	.	PUNCT
ijassa-2030	151	1	6	6	X
ijassa-2030	151	2	.	.	X
ijassa-2030	151	3	the	the	DET
ijassa-2030	151	4	multi	multi	ADJ
ijassa-2030	151	5	-	-	ADJ
ijassa-2030	151	6	criteria	criterion	NOUN
ijassa-2030	151	7	approach	approach	NOUN
ijassa-2030	151	8	:	:	PUNCT
ijassa-2030	151	9	preliminary	preliminary	ADJ
ijassa-2030	151	10	information	information	NOUN
ijassa-2030	151	11	consider	consider	VERB
ijassa-2030	151	12	a	a	DET
ijassa-2030	151	13	general	general	ADJ
ijassa-2030	151	14	two	two	NUM
ijassa-2030	151	15	-	-	PUNCT
ijassa-2030	151	16	criteria	criterion	NOUN
ijassa-2030	151	17	optimization	optimization	NOUN
ijassa-2030	151	18	problem	problem	NOUN
ijassa-2030	151	19	:	:	PUNCT
ijassa-2030	151	20	𝐺	𝐺	NOUN
ijassa-2030	151	21	=	=	PUNCT
ijassa-2030	151	22	⟨𝑋	⟨𝑋	PROPN
ijassa-2030	151	23	,	,	PUNCT
ijassa-2030	151	24	𝑔	𝑔	PROPN
ijassa-2030	151	25	(	(	PUNCT
ijassa-2030	151	26	𝑥	𝑥	NOUN
ijassa-2030	151	27	)	)	PUNCT
ijassa-2030	151	28	,	,	PUNCT
ijassa-2030	151	29	𝑔	𝑔	PROPN
ijassa-2030	151	30	(	(	PUNCT
ijassa-2030	151	31	𝑥)⟩	𝑥)⟩	PROPN
ijassa-2030	151	32	,	,	PUNCT
ijassa-2030	151	33	(	(	PUNCT
ijassa-2030	151	34	28	28	NUM
ijassa-2030	151	35	)	)	PUNCT
ijassa-2030	151	36	where	where	SCONJ
ijassa-2030	151	37	𝑋	𝑋	PROPN
ijassa-2030	151	38	is	be	AUX
ijassa-2030	151	39	the	the	DET
ijassa-2030	151	40	set	set	NOUN
ijassa-2030	151	41	of	of	ADP
ijassa-2030	151	42	admissible	admissible	ADJ
ijassa-2030	151	43	solutions	solution	NOUN
ijassa-2030	151	44	(	(	PUNCT
ijassa-2030	151	45	alternatives	alternative	NOUN
ijassa-2030	151	46	)	)	PUNCT
ijassa-2030	151	47	,	,	PUNCT
ijassa-2030	151	48	𝑔	𝑔	PROPN
ijassa-2030	151	49	(	(	PUNCT
ijassa-2030	151	50	𝑥	𝑥	NOUN
ijassa-2030	151	51	)	)	PUNCT
ijassa-2030	151	52	and	and	CCONJ
ijassa-2030	151	53	𝑔	𝑔	PROPN
ijassa-2030	151	54	(	(	PUNCT
ijassa-2030	151	55	𝑥	𝑥	NOUN
ijassa-2030	151	56	)	)	PUNCT
ijassa-2030	151	57	are	be	AUX
ijassa-2030	151	58	the	the	DET
ijassa-2030	151	59	target	target	NOUN
ijassa-2030	151	60	functions	function	NOUN
ijassa-2030	151	61	to	to	PART
ijassa-2030	151	62	be	be	AUX
ijassa-2030	151	63	maximized	maximize	VERB
ijassa-2030	151	64	by	by	ADP
ijassa-2030	151	65	choosing	choose	VERB
ijassa-2030	151	66	the	the	DET
ijassa-2030	151	67	alternative	alternative	NOUN
ijassa-2030	151	68	𝑥	𝑥	DET
ijassa-2030	151	69	∈	∈	PROPN
ijassa-2030	151	70	𝑋.	𝑋.	PROPN
ijassa-2030	151	71	suppose	suppose	VERB
ijassa-2030	151	72	that	that	SCONJ
ijassa-2030	151	73	the	the	DET
ijassa-2030	151	74	set	set	NOUN
ijassa-2030	151	75	𝑋	𝑋	NOUN
ijassa-2030	151	76	is	be	AUX
ijassa-2030	151	77	closed	close	VERB
ijassa-2030	151	78	and	and	CCONJ
ijassa-2030	151	79	bounded	bound	VERB
ijassa-2030	151	80	(	(	PUNCT
ijassa-2030	151	81	compact	compact	ADJ
ijassa-2030	151	82	)	)	PUNCT
ijassa-2030	151	83	,	,	PUNCT
ijassa-2030	151	84	and	and	CCONJ
ijassa-2030	151	85	the	the	DET
ijassa-2030	151	86	functions	function	NOUN
ijassa-2030	151	87	𝑔	𝑔	X
ijassa-2030	151	88	(	(	PUNCT
ijassa-2030	151	89	𝑥	𝑥	NOUN
ijassa-2030	151	90	)	)	PUNCT
ijassa-2030	151	91	and	and	CCONJ
ijassa-2030	151	92	𝑔	𝑔	PROPN
ijassa-2030	151	93	(	(	PUNCT
ijassa-2030	151	94	𝑥	𝑥	NOUN
ijassa-2030	151	95	)	)	PUNCT
ijassa-2030	151	96	are	be	AUX
ijassa-2030	151	97	continuous	continuous	ADJ
ijassa-2030	151	98	.	.	PUNCT
ijassa-2030	152	1	then	then	ADV
ijassa-2030	152	2	there	there	PRON
ijassa-2030	152	3	are	be	VERB
ijassa-2030	152	4	finite	finite	ADJ
ijassa-2030	152	5	limits	limit	NOUN
ijassa-2030	152	6	(	(	PUNCT
ijassa-2030	152	7	partial	partial	ADJ
ijassa-2030	152	8	maxima	maxima	NOUN
ijassa-2030	152	9	)	)	PUNCT
ijassa-2030	152	10	of	of	ADP
ijassa-2030	152	11	the	the	DET
ijassa-2030	152	12	target	target	NOUN
ijassa-2030	152	13	functions	function	NOUN
ijassa-2030	152	14	.	.	PUNCT
ijassa-2030	153	1	definition	definition	NOUN
ijassa-2030	153	2	1	1	NUM
ijassa-2030	153	3	:	:	PUNCT
ijassa-2030	153	4	an	an	DET
ijassa-2030	153	5	admissible	admissible	ADJ
ijassa-2030	153	6	solution	solution	NOUN
ijassa-2030	153	7	𝑥	𝑥	PRON
ijassa-2030	153	8	∈	∈	NOUN
ijassa-2030	153	9	𝑋	𝑋	NOUN
ijassa-2030	153	10	is	be	AUX
ijassa-2030	153	11	called	call	VERB
ijassa-2030	153	12	a	a	DET
ijassa-2030	153	13	pareto	pareto	NOUN
ijassa-2030	153	14	-	-	PUNCT
ijassa-2030	153	15	improvement	improvement	NOUN
ijassa-2030	153	16	for	for	ADP
ijassa-2030	153	17	an	an	DET
ijassa-2030	153	18	admissible	admissible	ADJ
ijassa-2030	153	19	solution	solution	NOUN
ijassa-2030	153	20	𝑥	𝑥	PRON
ijassa-2030	153	21	∈	∈	NOUN
ijassa-2030	153	22	𝑋	𝑋	NOUN
ijassa-2030	153	23	,	,	PUNCT
ijassa-2030	153	24	if	if	SCONJ
ijassa-2030	153	25	𝑔	𝑔	PROPN
ijassa-2030	153	26	(	(	PUNCT
ijassa-2030	153	27	𝑥	𝑥	PROPN
ijassa-2030	153	28	)	)	PUNCT
ijassa-2030	153	29	≥	≥	PROPN
ijassa-2030	153	30	𝑔	𝑔	PROPN
ijassa-2030	153	31	(	(	PUNCT
ijassa-2030	153	32	𝑥	𝑥	NOUN
ijassa-2030	153	33	)	)	PUNCT
ijassa-2030	153	34	(	(	PUNCT
ijassa-2030	153	35	𝑖	𝑖	SYM
ijassa-2030	153	36	=	=	SYM
ijassa-2030	153	37	1,2	1,2	NUM
ijassa-2030	153	38	)	)	PUNCT
ijassa-2030	153	39	and	and	CCONJ
ijassa-2030	153	40	at	at	ADV
ijassa-2030	153	41	least	least	ADV
ijassa-2030	153	42	one	one	NUM
ijassa-2030	153	43	inequality	inequality	NOUN
ijassa-2030	153	44	is	be	AUX
ijassa-2030	153	45	strong	strong	ADJ
ijassa-2030	153	46	.	.	PUNCT
ijassa-2030	154	1	definition	definition	NOUN
ijassa-2030	154	2	2	2	NUM
ijassa-2030	154	3	:	:	PUNCT
ijassa-2030	154	4	an	an	DET
ijassa-2030	154	5	admissible	admissible	ADJ
ijassa-2030	154	6	solution	solution	NOUN
ijassa-2030	154	7	𝑥	𝑥	PRON
ijassa-2030	154	8	∈	∈	NOUN
ijassa-2030	154	9	𝑋	𝑋	NOUN
ijassa-2030	154	10	is	be	AUX
ijassa-2030	154	11	called	call	VERB
ijassa-2030	154	12	pareto	pareto	ADJ
ijassa-2030	154	13	optimal	optimal	ADJ
ijassa-2030	154	14	(	(	PUNCT
ijassa-2030	154	15	p	p	ADJ
ijassa-2030	154	16	-	-	PUNCT
ijassa-2030	154	17	optimal	optimal	ADJ
ijassa-2030	154	18	)	)	PUNCT
ijassa-2030	154	19	if	if	SCONJ
ijassa-2030	154	20	no	no	DET
ijassa-2030	154	21	pareto	pareto	NOUN
ijassa-2030	154	22	-	-	PUNCT
ijassa-2030	154	23	improvement	improvement	NOUN
ijassa-2030	154	24	exists	exist	VERB
ijassa-2030	154	25	for	for	ADP
ijassa-2030	154	26	it	it	PRON
ijassa-2030	154	27	.	.	PUNCT
ijassa-2030	155	1	we	we	PRON
ijassa-2030	155	2	denote	denote	VERB
ijassa-2030	155	3	the	the	DET
ijassa-2030	155	4	set	set	NOUN
ijassa-2030	155	5	of	of	ADP
ijassa-2030	155	6	all	all	DET
ijassa-2030	155	7	pareto	pareto	ADJ
ijassa-2030	155	8	optimal	optimal	ADJ
ijassa-2030	155	9	solutions	solution	NOUN
ijassa-2030	155	10	by	by	ADP
ijassa-2030	155	11	𝑋	𝑋	PROPN
ijassa-2030	155	12	,	,	PUNCT
ijassa-2030	155	13	the	the	DET
ijassa-2030	155	14	set	set	NOUN
ijassa-2030	155	15	of	of	ADP
ijassa-2030	155	16	corresponding	correspond	VERB
ijassa-2030	155	17	optimal	optimal	ADJ
ijassa-2030	155	18	estimates	estimate	NOUN
ijassa-2030	155	19	𝑔(𝑥	𝑔(𝑥	NUM
ijassa-2030	155	20	)	)	PUNCT
ijassa-2030	155	21	=	=	PUNCT
ijassa-2030	156	1	(	(	PUNCT
ijassa-2030	156	2	𝑔	𝑔	PROPN
ijassa-2030	156	3	(	(	PUNCT
ijassa-2030	156	4	𝑥	𝑥	NOUN
ijassa-2030	156	5	)	)	PUNCT
ijassa-2030	156	6	,	,	PUNCT
ijassa-2030	156	7	𝑔	𝑔	PROPN
ijassa-2030	156	8	(	(	PUNCT
ijassa-2030	156	9	𝑥	𝑥	NOUN
ijassa-2030	156	10	)	)	PUNCT
ijassa-2030	156	11	)	)	PUNCT
ijassa-2030	156	12	by	by	ADP
ijassa-2030	156	13	𝑌	𝑌	PROPN
ijassa-2030	156	14	.	.	PUNCT
ijassa-2030	157	1	this	this	DET
ijassa-2030	157	2	set	set	NOUN
ijassa-2030	157	3	forms	form	VERB
ijassa-2030	157	4	the	the	DET
ijassa-2030	157	5	so	so	ADV
ijassa-2030	157	6	-	-	PUNCT
ijassa-2030	157	7	called	call	VERB
ijassa-2030	157	8	northeast	northeast	ADJ
ijassa-2030	157	9	boundary	boundary	NOUN
ijassa-2030	157	10	of	of	ADP
ijassa-2030	157	11	the	the	DET
ijassa-2030	157	12	set	set	NOUN
ijassa-2030	157	13	of	of	ADP
ijassa-2030	157	14	all	all	DET
ijassa-2030	157	15	estimates	estimate	NOUN
ijassa-2030	157	16	𝑌	𝑌	PROPN
ijassa-2030	157	17	=	=	SYM
ijassa-2030	157	18	𝐺(𝑋	𝐺(𝑋	NOUN
ijassa-2030	157	19	)	)	PUNCT
ijassa-2030	157	20	.	.	PUNCT
ijassa-2030	158	1	similarly	similarly	ADV
ijassa-2030	158	2	to	to	ADP
ijassa-2030	158	3	the	the	DET
ijassa-2030	158	4	above	above	NOUN
ijassa-2030	158	5	,	,	PUNCT
ijassa-2030	158	6	the	the	DET
ijassa-2030	158	7	notion	notion	NOUN
ijassa-2030	158	8	of	of	ADP
ijassa-2030	158	9	slater	slater	NOUN
ijassa-2030	158	10	optimality	optimality	NOUN
ijassa-2030	158	11	is	be	AUX
ijassa-2030	158	12	defined	define	VERB
ijassa-2030	158	13	and	and	CCONJ
ijassa-2030	158	14	sets	set	VERB
ijassa-2030	158	15	𝑋	𝑋	NOUN
ijassa-2030	158	16	,	,	PUNCT
ijassa-2030	158	17	𝑌	𝑌	PROPN
ijassa-2030	158	18	are	be	AUX
ijassa-2030	158	19	introduced	introduce	VERB
ijassa-2030	158	20	.	.	PUNCT
ijassa-2030	159	1	by	by	ADP
ijassa-2030	159	2	slater	slater	NOUN
ijassa-2030	159	3	-	-	PUNCT
ijassa-2030	159	4	improvement	improvement	NOUN
ijassa-2030	159	5	here	here	ADV
ijassa-2030	159	6	we	we	PRON
ijassa-2030	159	7	mean	mean	VERB
ijassa-2030	159	8	the	the	DET
ijassa-2030	159	9	improvement	improvement	NOUN
ijassa-2030	159	10	of	of	ADP
ijassa-2030	159	11	all	all	DET
ijassa-2030	159	12	criteria	criterion	NOUN
ijassa-2030	159	13	at	at	ADP
ijassa-2030	159	14	once	once	ADV
ijassa-2030	159	15	.	.	PUNCT
ijassa-2030	160	1	from	from	ADP
ijassa-2030	160	2	pareto	pareto	ADJ
ijassa-2030	160	3	optimality	optimality	NOUN
ijassa-2030	160	4	follows	follow	VERB
ijassa-2030	160	5	slater	slater	NOUN
ijassa-2030	160	6	optimality	optimality	NOUN
ijassa-2030	160	7	:	:	PUNCT
ijassa-2030	160	8	𝑋	𝑋	PROPN
ijassa-2030	160	9	⊇	⊇	NOUN
ijassa-2030	160	10	𝑋	𝑋	PROPN
ijassa-2030	160	11	,	,	PUNCT
ijassa-2030	160	12	𝑌	𝑌	PROPN
ijassa-2030	160	13	⊇	⊇	NOUN
ijassa-2030	160	14	𝑌	𝑌	PROPN
ijassa-2030	160	15	.	.	PUNCT
ijassa-2030	161	1	the	the	DET
ijassa-2030	161	2	converse	converse	NOUN
ijassa-2030	161	3	,	,	PUNCT
ijassa-2030	161	4	generally	generally	ADV
ijassa-2030	161	5	speaking	speak	VERB
ijassa-2030	161	6	,	,	PUNCT
ijassa-2030	161	7	is	be	AUX
ijassa-2030	161	8	not	not	PART
ijassa-2030	161	9	true	true	ADJ
ijassa-2030	161	10	.	.	PUNCT
ijassa-2030	162	1	note	note	VERB
ijassa-2030	162	2	that	that	SCONJ
ijassa-2030	162	3	the	the	DET
ijassa-2030	162	4	sets	set	NOUN
ijassa-2030	162	5	𝑌	𝑌	PROPN
ijassa-2030	162	6	and	and	CCONJ
ijassa-2030	162	7	𝑌	𝑌	PROPN
ijassa-2030	162	8	,	,	PUNCT
ijassa-2030	162	9	𝑋	𝑋	NOUN
ijassa-2030	162	10	and	and	CCONJ
ijassa-2030	162	11	𝑋	𝑋	PROPN
ijassa-2030	162	12	in	in	ADP
ijassa-2030	162	13	many	many	ADJ
ijassa-2030	162	14	problems	problem	NOUN
ijassa-2030	162	15	coincide	coincide	VERB
ijassa-2030	162	16	or	or	CCONJ
ijassa-2030	162	17	differ	differ	VERB
ijassa-2030	162	18	insignificantly	insignificantly	ADV
ijassa-2030	162	19	.	.	PUNCT
ijassa-2030	163	1	as	as	ADP
ijassa-2030	163	2	for	for	ADP
ijassa-2030	163	3	the	the	DET
ijassa-2030	163	4	choice	choice	NOUN
ijassa-2030	163	5	of	of	ADP
ijassa-2030	163	6	the	the	DET
ijassa-2030	163	7	final	final	ADJ
ijassa-2030	163	8	optimal	optimal	ADJ
ijassa-2030	163	9	solution	solution	NOUN
ijassa-2030	163	10	,	,	PUNCT
ijassa-2030	163	11	there	there	PRON
ijassa-2030	163	12	is	be	VERB
ijassa-2030	163	13	a	a	DET
ijassa-2030	163	14	wide	wide	ADJ
ijassa-2030	163	15	range	range	NOUN
ijassa-2030	163	16	of	of	ADP
ijassa-2030	163	17	recommendations	recommendation	NOUN
ijassa-2030	163	18	and	and	CCONJ
ijassa-2030	163	19	procedures	procedure	NOUN
ijassa-2030	163	20	,	,	PUNCT
ijassa-2030	163	21	significant	significant	ADJ
ijassa-2030	163	22	part	part	NOUN
ijassa-2030	163	23	of	of	ADP
ijassa-2030	163	24	which	which	PRON
ijassa-2030	163	25	consists	consist	VERB
ijassa-2030	163	26	in	in	ADP
ijassa-2030	163	27	"	"	PUNCT
ijassa-2030	163	28	scalarization	scalarization	NOUN
ijassa-2030	163	29	"	"	PUNCT
ijassa-2030	163	30	of	of	ADP
ijassa-2030	163	31	the	the	DET
ijassa-2030	163	32	problem	problem	NOUN
ijassa-2030	163	33	,	,	PUNCT
ijassa-2030	163	34	i.e.	i.e.	X
ijassa-2030	163	35	,	,	PUNCT
ijassa-2030	163	36	in	in	ADP
ijassa-2030	163	37	replacing	replace	VERB
ijassa-2030	163	38	the	the	DET
ijassa-2030	163	39	vector	vector	NOUN
ijassa-2030	163	40	criterion	criterion	NOUN
ijassa-2030	163	41	by	by	ADP
ijassa-2030	163	42	a	a	DET
ijassa-2030	163	43	single	single	ADJ
ijassa-2030	163	44	scalar	scalar	ADJ
ijassa-2030	163	45	criterion	criterion	NOUN
ijassa-2030	163	46	.	.	PUNCT
ijassa-2030	164	1	as	as	ADP
ijassa-2030	164	2	such	such	ADJ
ijassa-2030	164	3	,	,	PUNCT
ijassa-2030	164	4	linear	linear	ADJ
ijassa-2030	164	5	convolutions	convolution	NOUN
ijassa-2030	164	6	,	,	PUNCT
ijassa-2030	164	7	nonlinear	nonlinear	ADJ
ijassa-2030	164	8	monotonic	monotonic	PROPN
ijassa-2030	164	9	v.s.	v.s.	X
ijassa-2030	164	10	molostvov	molostvov	PROPN
ijassa-2030	164	11	8	8	NUM
ijassa-2030	164	12	copyright	copyright	NOUN
ijassa-2030	164	13	©	©	PROPN
ijassa-2030	164	14	2025	2025	NUM
ijassa-2030	164	15	assa	assa	PROPN
ijassa-2030	164	16	adv	adv	PROPN
ijassa-2030	164	17	.	.	PUNCT
ijassa-2030	165	1	in	in	ADP
ijassa-2030	165	2	systems	system	NOUN
ijassa-2030	165	3	science	science	NOUN
ijassa-2030	165	4	and	and	CCONJ
ijassa-2030	165	5	appl	appl	NOUN
ijassa-2030	165	6	.	.	PUNCT
ijassa-2030	166	1	(	(	PUNCT
ijassa-2030	166	2	2025	2025	NUM
ijassa-2030	166	3	)	)	PUNCT
ijassa-2030	166	4	convolutions	convolution	NOUN
ijassa-2030	166	5	(	(	PUNCT
ijassa-2030	166	6	in	in	ADP
ijassa-2030	166	7	particular	particular	ADJ
ijassa-2030	166	8	,	,	PUNCT
ijassa-2030	166	9	leontief	leontief	ADJ
ijassa-2030	166	10	functions	function	NOUN
ijassa-2030	166	11	)	)	PUNCT
ijassa-2030	166	12	,	,	PUNCT
ijassa-2030	166	13	and	and	CCONJ
ijassa-2030	166	14	the	the	DET
ijassa-2030	166	15	lexicographic	lexicographic	ADJ
ijassa-2030	166	16	criterion	criterion	NOUN
ijassa-2030	166	17	are	be	AUX
ijassa-2030	166	18	used	use	VERB
ijassa-2030	166	19	.	.	PUNCT
ijassa-2030	167	1	various	various	ADJ
ijassa-2030	167	2	iterative	iterative	NOUN
ijassa-2030	167	3	procedures	procedure	NOUN
ijassa-2030	167	4	,	,	PUNCT
ijassa-2030	167	5	such	such	ADJ
ijassa-2030	167	6	as	as	ADP
ijassa-2030	167	7	the	the	DET
ijassa-2030	167	8	method	method	NOUN
ijassa-2030	167	9	of	of	ADP
ijassa-2030	167	10	successive	successive	ADJ
ijassa-2030	167	11	concessions	concession	NOUN
ijassa-2030	167	12	and	and	CCONJ
ijassa-2030	167	13	others	other	NOUN
ijassa-2030	167	14	,	,	PUNCT
ijassa-2030	167	15	are	be	AUX
ijassa-2030	167	16	also	also	ADV
ijassa-2030	167	17	proposed	propose	VERB
ijassa-2030	167	18	.	.	PUNCT
ijassa-2030	168	1	one	one	NUM
ijassa-2030	168	2	approach	approach	NOUN
ijassa-2030	168	3	is	be	AUX
ijassa-2030	168	4	to	to	PART
ijassa-2030	168	5	make	make	VERB
ijassa-2030	168	6	available	available	ADJ
ijassa-2030	168	7	to	to	ADP
ijassa-2030	168	8	the	the	DET
ijassa-2030	168	9	dm	dm	PROPN
ijassa-2030	168	10	the	the	DET
ijassa-2030	168	11	entire	entire	ADJ
ijassa-2030	168	12	set	set	NOUN
ijassa-2030	168	13	of	of	ADP
ijassa-2030	168	14	por	por	NOUN
ijassa-2030	168	15	s	s	NOUN
ijassa-2030	168	16	-	-	ADJ
ijassa-2030	168	17	optimal	optimal	ADJ
ijassa-2030	168	18	estimates	estimate	NOUN
ijassa-2030	168	19	or	or	CCONJ
ijassa-2030	168	20	at	at	ADP
ijassa-2030	168	21	least	least	ADJ
ijassa-2030	168	22	some	some	DET
ijassa-2030	168	23	sufficiently	sufficiently	ADV
ijassa-2030	168	24	representative	representative	ADJ
ijassa-2030	168	25	subset	subset	NOUN
ijassa-2030	168	26	,	,	PUNCT
ijassa-2030	168	27	a	a	DET
ijassa-2030	168	28	kind	kind	NOUN
ijassa-2030	168	29	of	of	ADP
ijassa-2030	168	30	𝜀-network	𝜀-network	PROPN
ijassa-2030	168	31	.	.	PUNCT
ijassa-2030	169	1	as	as	ADP
ijassa-2030	169	2	a	a	DET
ijassa-2030	169	3	rule	rule	NOUN
ijassa-2030	169	4	,	,	PUNCT
ijassa-2030	169	5	the	the	DET
ijassa-2030	169	6	pareto	pareto	ADJ
ijassa-2030	169	7	frontier	frontier	NOUN
ijassa-2030	169	8	has	have	VERB
ijassa-2030	169	9	a	a	DET
ijassa-2030	169	10	complex	complex	ADJ
ijassa-2030	169	11	structure	structure	NOUN
ijassa-2030	169	12	.	.	PUNCT
ijassa-2030	170	1	if	if	SCONJ
ijassa-2030	170	2	it	it	PRON
ijassa-2030	170	3	is	be	AUX
ijassa-2030	170	4	possible	possible	ADJ
ijassa-2030	170	5	to	to	PART
ijassa-2030	170	6	construct	construct	VERB
ijassa-2030	170	7	it	it	PRON
ijassa-2030	170	8	in	in	ADP
ijassa-2030	170	9	a	a	DET
ijassa-2030	170	10	visual	visual	ADJ
ijassa-2030	170	11	form	form	NOUN
ijassa-2030	170	12	and	and	CCONJ
ijassa-2030	170	13	with	with	ADP
ijassa-2030	170	14	a	a	DET
ijassa-2030	170	15	transparent	transparent	NOUN
ijassa-2030	170	16	for	for	ADP
ijassa-2030	170	17	the	the	DET
ijassa-2030	170	18	dm	dm	PROPN
ijassa-2030	170	19	algorithm	algorithm	NOUN
ijassa-2030	170	20	of	of	ADP
ijassa-2030	170	21	construction	construction	NOUN
ijassa-2030	170	22	,	,	PUNCT
ijassa-2030	170	23	it	it	PRON
ijassa-2030	170	24	facilitates	facilitate	VERB
ijassa-2030	170	25	the	the	DET
ijassa-2030	170	26	task	task	NOUN
ijassa-2030	170	27	of	of	ADP
ijassa-2030	170	28	choosing	choose	VERB
ijassa-2030	170	29	the	the	DET
ijassa-2030	170	30	final	final	ADJ
ijassa-2030	170	31	decision	decision	NOUN
ijassa-2030	170	32	.	.	PUNCT
ijassa-2030	171	1	let	let	VERB
ijassa-2030	171	2	us	we	PRON
ijassa-2030	171	3	use	use	VERB
ijassa-2030	171	4	the	the	DET
ijassa-2030	171	5	following	following	ADJ
ijassa-2030	171	6	method	method	NOUN
ijassa-2030	171	7	of	of	ADP
ijassa-2030	171	8	explicitly	explicitly	ADV
ijassa-2030	171	9	constructing	construct	VERB
ijassa-2030	171	10	the	the	DET
ijassa-2030	171	11	set	set	NOUN
ijassa-2030	171	12	s.	s.	PROPN
ijassa-2030	171	13	let	let	VERB
ijassa-2030	171	14	us	we	PRON
ijassa-2030	171	15	fix	fix	VERB
ijassa-2030	171	16	the	the	DET
ijassa-2030	171	17	minimum	minimum	ADJ
ijassa-2030	171	18	acceptable	acceptable	ADJ
ijassa-2030	171	19	level	level	NOUN
ijassa-2030	171	20	of	of	ADP
ijassa-2030	171	21	one	one	NUM
ijassa-2030	171	22	criterion	criterion	NOUN
ijassa-2030	171	23	by	by	ADP
ijassa-2030	171	24	the	the	DET
ijassa-2030	171	25	constraint	constraint	NOUN
ijassa-2030	171	26	𝑔	𝑔	PROPN
ijassa-2030	171	27	(	(	PUNCT
ijassa-2030	171	28	𝑥	𝑥	NOUN
ijassa-2030	171	29	)	)	PUNCT
ijassa-2030	171	30	≥	≥	NOUN
ijassa-2030	171	31	𝐶	𝐶	PROPN
ijassa-2030	171	32	and	and	CCONJ
ijassa-2030	171	33	solve	solve	VERB
ijassa-2030	171	34	the	the	DET
ijassa-2030	171	35	single	single	ADJ
ijassa-2030	171	36	-	-	PUNCT
ijassa-2030	171	37	criteria	criterion	NOUN
ijassa-2030	171	38	optimization	optimization	NOUN
ijassa-2030	171	39	problem	problem	NOUN
ijassa-2030	171	40	𝑔	𝑔	PROPN
ijassa-2030	171	41	(	(	PUNCT
ijassa-2030	171	42	𝑥	𝑥	NOUN
ijassa-2030	171	43	)	)	PUNCT
ijassa-2030	171	44	→	→	SYM
ijassa-2030	171	45	max	max	PROPN
ijassa-2030	171	46	𝑥	𝑥	PROPN
ijassa-2030	171	47	∈	∈	PROPN
ijassa-2030	171	48	𝑋	𝑋	PROPN
ijassa-2030	171	49	𝑔	𝑔	PROPN
ijassa-2030	171	50	(	(	PUNCT
ijassa-2030	171	51	𝑥	𝑥	NOUN
ijassa-2030	171	52	)	)	PUNCT
ijassa-2030	171	53	≥	≥	PROPN
ijassa-2030	171	54	с	с	PROPN
ijassa-2030	171	55	.	.	PUNCT
ijassa-2030	172	1	(	(	PUNCT
ijassa-2030	172	2	29	29	NUM
ijassa-2030	172	3	)	)	PUNCT
ijassa-2030	172	4	prorosition	prorosition	NOUN
ijassa-2030	172	5	:	:	PUNCT
ijassa-2030	172	6	let	let	VERB
ijassa-2030	172	7	𝐶	𝐶	PROPN
ijassa-2030	172	8	≤	≤	ADV
ijassa-2030	172	9	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
ijassa-2030	172	10	∈	∈	PROPN
ijassa-2030	172	11	𝑔	𝑔	PROPN
ijassa-2030	172	12	(	(	PUNCT
ijassa-2030	172	13	𝑥	𝑥	NOUN
ijassa-2030	172	14	)	)	PUNCT
ijassa-2030	172	15	and	and	CCONJ
ijassa-2030	172	16	𝑥∗	𝑥∗	PROPN
ijassa-2030	172	17	be	be	AUX
ijassa-2030	172	18	a	a	DET
ijassa-2030	172	19	solution	solution	NOUN
ijassa-2030	172	20	of	of	ADP
ijassa-2030	172	21	the	the	DET
ijassa-2030	172	22	problem	problem	NOUN
ijassa-2030	172	23	(	(	PUNCT
ijassa-2030	172	24	29	29	NUM
ijassa-2030	172	25	)	)	PUNCT
ijassa-2030	172	26	.	.	PUNCT
ijassa-2030	173	1	then	then	ADV
ijassa-2030	173	2	𝑥∗	𝑥∗	PROPN
ijassa-2030	173	3	is	be	AUX
ijassa-2030	173	4	slater	slater	NOUN
ijassa-2030	173	5	-	-	PUNCT
ijassa-2030	173	6	optimal	optimal	ADJ
ijassa-2030	173	7	.	.	PUNCT
ijassa-2030	174	1	proof	proof	NOUN
ijassa-2030	174	2	.	.	PUNCT
ijassa-2030	175	1	indeed	indeed	ADV
ijassa-2030	175	2	,	,	PUNCT
ijassa-2030	175	3	let	let	VERB
ijassa-2030	175	4	𝑌	𝑌	PROPN
ijassa-2030	175	5	=	=	SYM
ijassa-2030	175	6	𝑔(𝑋	𝑔(𝑋	PROPN
ijassa-2030	175	7	)	)	PUNCT
ijassa-2030	176	1	=	=	PRON
ijassa-2030	176	2	{	{	PUNCT
ijassa-2030	176	3	𝑔(𝑥)|𝑥	𝑔(𝑥)|𝑥	PROPN
ijassa-2030	176	4	∈	∈	PROPN
ijassa-2030	176	5	𝑋	𝑋	PROPN
ijassa-2030	176	6	}	}	PUNCT
ijassa-2030	176	7	be	be	AUX
ijassa-2030	176	8	the	the	DET
ijassa-2030	176	9	set	set	NOUN
ijassa-2030	176	10	of	of	ADP
ijassa-2030	176	11	all	all	DET
ijassa-2030	176	12	achievable	achievable	ADJ
ijassa-2030	176	13	criterion	criterion	NOUN
ijassa-2030	176	14	values	value	NOUN
ijassa-2030	176	15	,	,	PUNCT
ijassa-2030	176	16	and	and	CCONJ
ijassa-2030	176	17	𝑋	𝑋	PROPN
ijassa-2030	176	18	=	=	SYM
ijassa-2030	176	19	{	{	PUNCT
ijassa-2030	176	20	𝑥	𝑥	X
ijassa-2030	176	21	∈	∈	PROPN
ijassa-2030	176	22	𝑋|𝑔	𝑋|𝑔	X
ijassa-2030	176	23	(	(	PUNCT
ijassa-2030	176	24	𝑥	𝑥	NOUN
ijassa-2030	176	25	)	)	PUNCT
ijassa-2030	176	26	≥	≥	NOUN
ijassa-2030	176	27	𝐶	𝐶	PROPN
ijassa-2030	176	28	}	}	PUNCT
ijassa-2030	176	29	.	.	PUNCT
ijassa-2030	177	1	the	the	DET
ijassa-2030	177	2	alternatives	alternative	NOUN
ijassa-2030	177	3	from	from	ADP
ijassa-2030	177	4	the	the	DET
ijassa-2030	177	5	set	set	NOUN
ijassa-2030	177	6	𝑋\𝑋	𝑋\𝑋	NOUN
ijassa-2030	177	7	can	can	AUX
ijassa-2030	177	8	not	not	PART
ijassa-2030	177	9	be	be	AUX
ijassa-2030	177	10	slater	slater	NOUN
ijassa-2030	177	11	-	-	PUNCT
ijassa-2030	177	12	improvements	improvement	NOUN
ijassa-2030	177	13	for	for	ADP
ijassa-2030	177	14	𝑥∗	𝑥∗	PROPN
ijassa-2030	177	15	,	,	PUNCT
ijassa-2030	177	16	since	since	SCONJ
ijassa-2030	177	17	they	they	PRON
ijassa-2030	177	18	have	have	VERB
ijassa-2030	177	19	𝑔	𝑔	PROPN
ijassa-2030	177	20	(	(	PUNCT
ijassa-2030	177	21	𝑥	𝑥	NOUN
ijassa-2030	177	22	)	)	PUNCT
ijassa-2030	177	23	<	<	X
ijassa-2030	177	24	𝐶	𝐶	PROPN
ijassa-2030	177	25	≤	≤	PROPN
ijassa-2030	177	26	𝑔	𝑔	PROPN
ijassa-2030	177	27	(	(	PUNCT
ijassa-2030	177	28	𝑥∗	𝑥∗	PROPN
ijassa-2030	177	29	)	)	PUNCT
ijassa-2030	177	30	.	.	PUNCT
ijassa-2030	178	1	on	on	ADP
ijassa-2030	178	2	the	the	DET
ijassa-2030	178	3	other	other	ADJ
ijassa-2030	178	4	hand	hand	NOUN
ijassa-2030	178	5	,	,	PUNCT
ijassa-2030	178	6	for	for	ADP
ijassa-2030	178	7	all	all	DET
ijassa-2030	178	8	alternatives	alternative	NOUN
ijassa-2030	178	9	in	in	ADP
ijassa-2030	178	10	the	the	DET
ijassa-2030	178	11	set𝑋	set𝑋	NOUN
ijassa-2030	178	12	,	,	PUNCT
ijassa-2030	178	13	by	by	ADP
ijassa-2030	178	14	definition	definition	NOUN
ijassa-2030	178	15	the	the	DET
ijassa-2030	178	16	solution	solution	NOUN
ijassa-2030	178	17	𝑥∗	𝑥∗	PROPN
ijassa-2030	178	18	,	,	PUNCT
ijassa-2030	178	19	𝑔	𝑔	PROPN
ijassa-2030	178	20	(	(	PUNCT
ijassa-2030	178	21	𝑥	𝑥	NOUN
ijassa-2030	178	22	)	)	PUNCT
ijassa-2030	178	23	≤	≤	NOUN
ijassa-2030	178	24	𝑔	𝑔	PROPN
ijassa-2030	178	25	(	(	PUNCT
ijassa-2030	178	26	𝑥∗	𝑥∗	PROPN
ijassa-2030	178	27	)	)	PUNCT
ijassa-2030	178	28	=	=	SYM
ijassa-2030	179	1	max	max	PROPN
ijassa-2030	179	2	∈	∈	PROPN
ijassa-2030	179	3	𝑔	𝑔	PROPN
ijassa-2030	179	4	(	(	PUNCT
ijassa-2030	179	5	𝑥	𝑥	NOUN
ijassa-2030	179	6	)	)	PUNCT
ijassa-2030	179	7	.	.	PUNCT
ijassa-2030	180	1	hence	hence	ADV
ijassa-2030	180	2	,	,	PUNCT
ijassa-2030	180	3	𝑋	𝑋	PROPN
ijassa-2030	180	4	does	do	AUX
ijassa-2030	180	5	n’t	not	PART
ijassa-2030	180	6	contain	contain	VERB
ijassa-2030	180	7	be	be	AUX
ijassa-2030	180	8	a	a	DET
ijassa-2030	180	9	slater	slater	NOUN
ijassa-2030	180	10	-	-	PUNCT
ijassa-2030	180	11	improvement	improvement	NOUN
ijassa-2030	180	12	for	for	ADP
ijassa-2030	180	13	𝑥∗.	𝑥∗.	NOUN
ijassa-2030	180	14	since	since	SCONJ
ijassa-2030	180	15	𝑋	𝑋	PROPN
ijassa-2030	180	16	=	=	SYM
ijassa-2030	180	17	(	(	PUNCT
ijassa-2030	180	18	𝑋\𝑋	𝑋\𝑋	NOUN
ijassa-2030	180	19	)	)	PUNCT
ijassa-2030	180	20	∪	∪	ADP
ijassa-2030	180	21	𝑋	𝑋	PROPN
ijassa-2030	180	22	,	,	PUNCT
ijassa-2030	180	23	the	the	DET
ijassa-2030	180	24	proposition	proposition	NOUN
ijassa-2030	180	25	is	be	AUX
ijassa-2030	180	26	proved	prove	VERB
ijassa-2030	180	27	.	.	PUNCT
ijassa-2030	181	1	remark	remark	NOUN
ijassa-2030	181	2	:	:	PUNCT
ijassa-2030	181	3	in	in	ADP
ijassa-2030	181	4	nondegenerate	nondegenerate	ADJ
ijassa-2030	181	5	cases	case	NOUN
ijassa-2030	181	6	,	,	PUNCT
ijassa-2030	181	7	the	the	DET
ijassa-2030	181	8	solution	solution	NOUN
ijassa-2030	181	9	𝑥∗	𝑥∗	PROPN
ijassa-2030	181	10	and	and	CCONJ
ijassa-2030	181	11	the	the	DET
ijassa-2030	181	12	estimate	estimate	NOUN
ijassa-2030	181	13	𝑔∗(𝑥	𝑔∗(𝑥	PROPN
ijassa-2030	181	14	)	)	PUNCT
ijassa-2030	181	15	are	be	AUX
ijassa-2030	181	16	pareto	pareto	VERB
ijassa-2030	181	17	optimal	optimal	ADJ
ijassa-2030	181	18	well	well	ADV
ijassa-2030	181	19	.	.	PUNCT
ijassa-2030	182	1	for	for	ADP
ijassa-2030	182	2	this	this	PRON
ijassa-2030	182	3	,	,	PUNCT
ijassa-2030	182	4	in	in	ADP
ijassa-2030	182	5	particular	particular	ADJ
ijassa-2030	182	6	,	,	PUNCT
ijassa-2030	182	7	it	it	PRON
ijassa-2030	182	8	is	be	AUX
ijassa-2030	182	9	sufficient	sufficient	ADJ
ijassa-2030	182	10	that	that	SCONJ
ijassa-2030	182	11	the	the	DET
ijassa-2030	182	12	maximum	maximum	NOUN
ijassa-2030	182	13	in	in	ADP
ijassa-2030	182	14	problem	problem	NOUN
ijassa-2030	182	15	(	(	PUNCT
ijassa-2030	182	16	29	29	NUM
ijassa-2030	182	17	)	)	PUNCT
ijassa-2030	182	18	is	be	AUX
ijassa-2030	182	19	unique	unique	ADJ
ijassa-2030	182	20	in	in	ADP
ijassa-2030	182	21	the	the	DET
ijassa-2030	182	22	value	value	NOUN
ijassa-2030	182	23	of	of	ADP
ijassa-2030	182	24	the	the	DET
ijassa-2030	182	25	function	function	NOUN
ijassa-2030	182	26	𝑔	𝑔	PROPN
ijassa-2030	182	27	(	(	PUNCT
ijassa-2030	182	28	𝑥	𝑥	NOUN
ijassa-2030	182	29	)	)	PUNCT
ijassa-2030	183	1	[	[	X
ijassa-2030	183	2	7	7	NUM
ijassa-2030	183	3	]	]	PUNCT
ijassa-2030	183	4	.	.	PUNCT
ijassa-2030	184	1	8	8	X
ijassa-2030	184	2	.	.	X
ijassa-2030	184	3	algorithm	algorithm	NOUN
ijassa-2030	184	4	for	for	ADP
ijassa-2030	184	5	constructing	construct	VERB
ijassa-2030	184	6	the	the	DET
ijassa-2030	184	7	set	set	NOUN
ijassa-2030	184	8	of	of	ADP
ijassa-2030	184	9	pareto	pareto	VERB
ijassa-2030	184	10	-	-	PUNCT
ijassa-2030	184	11	optimal	optimal	ADJ
ijassa-2030	184	12	solutions	solution	NOUN
ijassa-2030	184	13	let	let	VERB
ijassa-2030	184	14	us	we	PRON
ijassa-2030	184	15	return	return	VERB
ijassa-2030	184	16	to	to	ADP
ijassa-2030	184	17	the	the	DET
ijassa-2030	184	18	problem	problem	NOUN
ijassa-2030	184	19	of	of	ADP
ijassa-2030	184	20	the	the	DET
ijassa-2030	184	21	optimal	optimal	ADJ
ijassa-2030	184	22	deposit	deposit	NOUN
ijassa-2030	184	23	structure	structure	NOUN
ijassa-2030	184	24	given	give	VERB
ijassa-2030	184	25	two	two	NUM
ijassa-2030	184	26	criteria	criterion	NOUN
ijassa-2030	184	27	:	:	PUNCT
ijassa-2030	184	28	guaranteed	guarantee	VERB
ijassa-2030	184	29	income	income	NOUN
ijassa-2030	184	30	and	and	CCONJ
ijassa-2030	184	31	guaranteed	guarantee	VERB
ijassa-2030	184	32	risk	risk	NOUN
ijassa-2030	184	33	(	(	PUNCT
ijassa-2030	184	34	section	section	NOUN
ijassa-2030	184	35	5	5	NUM
ijassa-2030	184	36	)	)	PUNCT
ijassa-2030	184	37	.	.	PUNCT
ijassa-2030	185	1	the	the	DET
ijassa-2030	185	2	formula	formula	NOUN
ijassa-2030	185	3	for	for	ADP
ijassa-2030	185	4	the	the	DET
ijassa-2030	185	5	guaranteed	guarantee	VERB
ijassa-2030	185	6	income	income	NOUN
ijassa-2030	185	7	in	in	ADP
ijassa-2030	185	8	accordance	accordance	NOUN
ijassa-2030	185	9	with	with	ADP
ijassa-2030	185	10	expressions	expression	NOUN
ijassa-2030	185	11	(	(	PUNCT
ijassa-2030	185	12	21	21	NUM
ijassa-2030	185	13	)	)	PUNCT
ijassa-2030	185	14	and	and	CCONJ
ijassa-2030	185	15	(	(	PUNCT
ijassa-2030	185	16	23	23	NUM
ijassa-2030	185	17	)	)	PUNCT
ijassa-2030	185	18	takes	take	VERB
ijassa-2030	185	19	the	the	DET
ijassa-2030	185	20	form	form	NOUN
ijassa-2030	185	21	:	:	PUNCT
ijassa-2030	185	22	𝑓[𝑥	𝑓[𝑥	X
ijassa-2030	185	23	]	]	X
ijassa-2030	185	24	=	=	SYM
ijassa-2030	186	1	1	1	NUM
ijassa-2030	186	2	+	+	CCONJ
ijassa-2030	186	3	𝑑	𝑑	PROPN
ijassa-2030	186	4	𝐾	𝐾	PROPN
ijassa-2030	186	5	𝑎	𝑎	PROPN
ijassa-2030	186	6	𝑥	𝑥	NOUN
ijassa-2030	186	7	+	+	NUM
ijassa-2030	186	8	1	1	NUM
ijassa-2030	187	1	+	+	CCONJ
ijassa-2030	187	2	𝑑	𝑑	PROPN
ijassa-2030	187	3	𝐾	𝐾	PROPN
ijassa-2030	187	4	𝑎	𝑎	PROPN
ijassa-2030	187	5	𝑥	𝑥	NOUN
ijassa-2030	187	6	+	+	CCONJ
ijassa-2030	187	7	(	(	PUNCT
ijassa-2030	187	8	1	1	NUM
ijassa-2030	187	9	+	+	CCONJ
ijassa-2030	187	10	𝑑	𝑑	NOUN
ijassa-2030	187	11	)	)	PUNCT
ijassa-2030	187	12	(	(	PUNCT
ijassa-2030	187	13	1	1	NUM
ijassa-2030	187	14	−	−	NOUN
ijassa-2030	187	15	𝑥	𝑥	PRON
ijassa-2030	187	16	−	−	NOUN
ijassa-2030	187	17	𝑥	𝑥	NOUN
ijassa-2030	187	18	)	)	PUNCT
ijassa-2030	187	19	⇒	⇒	PROPN
ijassa-2030	187	20	max	max	PROPN
ijassa-2030	187	21	.	.	PUNCT
ijassa-2030	188	1	(	(	PUNCT
ijassa-2030	188	2	30	30	NUM
ijassa-2030	188	3	)	)	PUNCT
ijassa-2030	188	4	or	or	CCONJ
ijassa-2030	188	5	𝑓[𝑥	𝑓[𝑥	X
ijassa-2030	188	6	]	]	X
ijassa-2030	188	7	=	=	SYM
ijassa-2030	189	1	1	1	NUM
ijassa-2030	189	2	+	+	CCONJ
ijassa-2030	189	3	𝑑	𝑑	PROPN
ijassa-2030	189	4	𝐾	𝐾	PROPN
ijassa-2030	189	5	𝑎	𝑎	NOUN
ijassa-2030	189	6	−	−	NOUN
ijassa-2030	189	7	(	(	PUNCT
ijassa-2030	189	8	1	1	NUM
ijassa-2030	189	9	+	+	CCONJ
ijassa-2030	189	10	𝑑	𝑑	NOUN
ijassa-2030	189	11	)	)	PUNCT
ijassa-2030	189	12	𝑥	𝑥	PROPN
ijassa-2030	190	1	+	+	NOUN
ijassa-2030	190	2	1	1	NUM
ijassa-2030	190	3	+	+	CCONJ
ijassa-2030	190	4	𝑑	𝑑	PROPN
ijassa-2030	190	5	𝐾	𝐾	PROPN
ijassa-2030	190	6	𝑎	𝑎	NOUN
ijassa-2030	190	7	−	−	NOUN
ijassa-2030	190	8	(	(	PUNCT
ijassa-2030	190	9	1	1	NUM
ijassa-2030	190	10	+	+	CCONJ
ijassa-2030	190	11	𝑑	𝑑	NOUN
ijassa-2030	190	12	)	)	PUNCT
ijassa-2030	190	13	𝑥	𝑥	PROPN
ijassa-2030	191	1	+	+	CCONJ
ijassa-2030	191	2	(	(	PUNCT
ijassa-2030	191	3	1	1	NUM
ijassa-2030	191	4	+	+	CCONJ
ijassa-2030	191	5	𝑑	𝑑	NOUN
ijassa-2030	191	6	)	)	PUNCT
ijassa-2030	191	7	⇒	⇒	PROPN
ijassa-2030	191	8	max	max	PROPN
ijassa-2030	191	9	.	.	PUNCT
ijassa-2030	192	1	(	(	PUNCT
ijassa-2030	192	2	31	31	NUM
ijassa-2030	192	3	)	)	PUNCT
ijassa-2030	192	4	taking	take	VERB
ijassa-2030	192	5	into	into	ADP
ijassa-2030	192	6	account	account	NOUN
ijassa-2030	192	7	definitions	definition	NOUN
ijassa-2030	192	8	(	(	PUNCT
ijassa-2030	192	9	25	25	NUM
ijassa-2030	192	10	)	)	PUNCT
ijassa-2030	192	11	we	we	PRON
ijassa-2030	192	12	finally	finally	ADV
ijassa-2030	192	13	have	have	AUX
ijassa-2030	192	14	:	:	PUNCT
ijassa-2030	192	15	𝑓[𝑥	𝑓[𝑥	PART
ijassa-2030	192	16	]	]	PUNCT
ijassa-2030	192	17	=	=	SYM
ijassa-2030	192	18	−𝛼	−𝛼	PROPN
ijassa-2030	193	1	𝑥	𝑥	PRON
ijassa-2030	193	2	−	−	NOUN
ijassa-2030	193	3	𝛼	𝛼	NOUN
ijassa-2030	194	1	𝑥	𝑥	NOUN
ijassa-2030	194	2	+	+	CCONJ
ijassa-2030	194	3	(	(	PUNCT
ijassa-2030	194	4	1	1	NUM
ijassa-2030	194	5	+	+	CCONJ
ijassa-2030	194	6	𝑑	𝑑	NOUN
ijassa-2030	194	7	)	)	PUNCT
ijassa-2030	194	8	⇒	⇒	PROPN
ijassa-2030	194	9	max	max	PROPN
ijassa-2030	194	10	.	.	PUNCT
ijassa-2030	195	1	(	(	PUNCT
ijassa-2030	195	2	31	31	NUM
ijassa-2030	195	3	)	)	PUNCT
ijassa-2030	195	4	secondary	secondary	ADJ
ijassa-2030	195	5	coefficients	coefficient	NOUN
ijassa-2030	195	6	𝛼	𝛼	PROPN
ijassa-2030	195	7	(	(	PUNCT
ijassa-2030	195	8	𝑖	𝑖	NOUN
ijassa-2030	195	9	=	=	SYM
ijassa-2030	195	10	1,2	1,2	NUM
ijassa-2030	195	11	)	)	PUNCT
ijassa-2030	195	12	in	in	ADP
ijassa-2030	195	13	(	(	PUNCT
ijassa-2030	195	14	31	31	NUM
ijassa-2030	195	15	)	)	PUNCT
ijassa-2030	195	16	depend	depend	VERB
ijassa-2030	195	17	on	on	ADP
ijassa-2030	195	18	initial	initial	ADJ
ijassa-2030	195	19	parameters	parameter	NOUN
ijassa-2030	195	20	and	and	CCONJ
ijassa-2030	195	21	have	have	VERB
ijassa-2030	195	22	the	the	DET
ijassa-2030	195	23	following	follow	VERB
ijassa-2030	195	24	meaningful	meaningful	ADJ
ijassa-2030	195	25	interpretation	interpretation	NOUN
ijassa-2030	195	26	.	.	PUNCT
ijassa-2030	196	1	the	the	DET
ijassa-2030	196	2	value	value	NOUN
ijassa-2030	196	3	𝛼	𝛼	NOUN
ijassa-2030	196	4	specifies	specify	VERB
ijassa-2030	196	5	the	the	DET
ijassa-2030	196	6	difference	difference	NOUN
ijassa-2030	196	7	between	between	ADP
ijassa-2030	196	8	the	the	DET
ijassa-2030	196	9	direct	direct	ADJ
ijassa-2030	196	10	income	income	NOUN
ijassa-2030	196	11	of	of	ADP
ijassa-2030	196	12	a	a	DET
ijassa-2030	196	13	unit	unit	NOUN
ijassa-2030	196	14	of	of	ADP
ijassa-2030	196	15	currency𝑉	currency𝑉	PROPN
ijassa-2030	196	16	and	and	CCONJ
ijassa-2030	196	17	the	the	DET
ijassa-2030	196	18	income	income	NOUN
ijassa-2030	196	19	when	when	SCONJ
ijassa-2030	196	20	using	use	VERB
ijassa-2030	196	21	this	this	DET
ijassa-2030	196	22	unit	unit	NOUN
ijassa-2030	196	23	to	to	PART
ijassa-2030	196	24	buy	buy	VERB
ijassa-2030	196	25	currencyм	currencyм	NOUN
ijassa-2030	196	26	at	at	ADP
ijassa-2030	196	27	the	the	DET
ijassa-2030	196	28	beginning	beginning	NOUN
ijassa-2030	196	29	of	of	ADP
ijassa-2030	196	30	the	the	DET
ijassa-2030	196	31	period	period	NOUN
ijassa-2030	196	32	at	at	ADP
ijassa-2030	196	33	the	the	DET
ijassa-2030	196	34	rate	rate	NOUN
ijassa-2030	196	35	𝐾	𝐾	PROPN
ijassa-2030	196	36	and	and	CCONJ
ijassa-2030	196	37	selling	sell	VERB
ijassa-2030	196	38	the	the	DET
ijassa-2030	196	39	total	total	NOUN
ijassa-2030	196	40	(	(	PUNCT
ijassa-2030	196	41	1	1	NUM
ijassa-2030	196	42	+	+	CCONJ
ijassa-2030	196	43	𝑑	𝑑	NOUN
ijassa-2030	196	44	)	)	PUNCT
ijassa-2030	196	45	at	at	ADP
ijassa-2030	196	46	the	the	DET
ijassa-2030	196	47	minimum	minimum	ADJ
ijassa-2030	196	48	rate	rate	NOUN
ijassa-2030	196	49	𝑎	𝑎	NOUN
ijassa-2030	196	50	at	at	ADP
ijassa-2030	196	51	the	the	DET
ijassa-2030	196	52	end	end	NOUN
ijassa-2030	196	53	of	of	ADP
ijassa-2030	196	54	the	the	DET
ijassa-2030	196	55	period	period	NOUN
ijassa-2030	196	56	.	.	PUNCT
ijassa-2030	197	1	the	the	DET
ijassa-2030	197	2	expression	expression	NOUN
ijassa-2030	197	3	for	for	ADP
ijassa-2030	197	4	the	the	DET
ijassa-2030	197	5	guaranteed	guarantee	VERB
ijassa-2030	197	6	risk	risk	NOUN
ijassa-2030	197	7	is	be	AUX
ijassa-2030	197	8	given	give	VERB
ijassa-2030	197	9	above	above	ADV
ijassa-2030	197	10	in	in	ADP
ijassa-2030	197	11	(	(	PUNCT
ijassa-2030	197	12	24	24	NUM
ijassa-2030	197	13	):	):	PUNCT
ijassa-2030	197	14	𝛷[𝑥	𝛷[𝑥	X
ijassa-2030	197	15	]	]	PUNCT
ijassa-2030	198	1	=	=	SYM
ijassa-2030	198	2	max{𝛼	max{𝛼	NOUN
ijassa-2030	198	3	𝑥	𝑥	NOUN
ijassa-2030	199	1	+	+	NUM
ijassa-2030	199	2	𝛼	𝛼	PART
ijassa-2030	199	3	𝑥	𝑥	NOUN
ijassa-2030	199	4	,	,	PUNCT
ijassa-2030	199	5	𝛽	𝛽	PROPN
ijassa-2030	199	6	(	(	PUNCT
ijassa-2030	199	7	1	1	NUM
ijassa-2030	199	8	−	−	NOUN
ijassa-2030	199	9	𝑥	𝑥	NOUN
ijassa-2030	199	10	)	)	PUNCT
ijassa-2030	200	1	+	+	NUM
ijassa-2030	200	2	𝛼	𝛼	X
ijassa-2030	200	3	𝑥	𝑥	NOUN
ijassa-2030	200	4	,	,	PUNCT
ijassa-2030	200	5	𝛽	𝛽	PROPN
ijassa-2030	200	6	(	(	PUNCT
ijassa-2030	200	7	1	1	NUM
ijassa-2030	200	8	−	−	NOUN
ijassa-2030	200	9	𝑥	𝑥	NOUN
ijassa-2030	200	10	)	)	PUNCT
ijassa-2030	201	1	+	+	CCONJ
ijassa-2030	201	2	𝛼	𝛼	X
ijassa-2030	201	3	𝑥	𝑥	DET
ijassa-2030	201	4	}	}	PUNCT
ijassa-2030	201	5	⇒	⇒	PROPN
ijassa-2030	201	6	min	min	PROPN
ijassa-2030	201	7	.	.	PROPN
ijassa-2030	201	8	(	(	PUNCT
ijassa-2030	201	9	31	31	NUM
ijassa-2030	201	10	)	)	PUNCT
ijassa-2030	201	11	9	9	NUM
ijassa-2030	201	12	optimization	optimization	NOUN
ijassa-2030	201	13	of	of	ADP
ijassa-2030	201	14	deposit	deposit	NOUN
ijassa-2030	201	15	structure	structure	NOUN
ijassa-2030	201	16	by	by	ADP
ijassa-2030	201	17	income	income	NOUN
ijassa-2030	201	18	and	and	CCONJ
ijassa-2030	201	19	risk	risk	NOUN
ijassa-2030	201	20	under	under	ADP
ijassa-2030	201	21	uncertainty	uncertainty	NOUN
ijassa-2030	201	22	copyright	copyright	NOUN
ijassa-2030	201	23	©	©	PROPN
ijassa-2030	201	24	2025	2025	NUM
ijassa-2030	201	25	assa	assa	PROPN
ijassa-2030	201	26	adv	adv	PROPN
ijassa-2030	201	27	.	.	PUNCT
ijassa-2030	202	1	in	in	ADP
ijassa-2030	202	2	systems	system	NOUN
ijassa-2030	202	3	science	science	NOUN
ijassa-2030	202	4	and	and	CCONJ
ijassa-2030	202	5	appl	appl	NOUN
ijassa-2030	202	6	.	.	PUNCT
ijassa-2030	203	1	(	(	PUNCT
ijassa-2030	203	2	2025	2025	NUM
ijassa-2030	203	3	)	)	PUNCT
ijassa-2030	203	4	the	the	DET
ijassa-2030	203	5	coefficient	coefficient	NOUN
ijassa-2030	203	6	𝛽	𝛽	PROPN
ijassa-2030	203	7	(	(	PUNCT
ijassa-2030	203	8	𝛽	𝛽	NOUN
ijassa-2030	203	9	)	)	PUNCT
ijassa-2030	203	10	specifies	specify	VERB
ijassa-2030	203	11	the	the	DET
ijassa-2030	203	12	difference	difference	NOUN
ijassa-2030	203	13	between	between	ADP
ijassa-2030	203	14	the	the	DET
ijassa-2030	203	15	return	return	NOUN
ijassa-2030	203	16	on	on	ADP
ijassa-2030	203	17	a	a	DET
ijassa-2030	203	18	unit	unit	NOUN
ijassa-2030	203	19	of	of	ADP
ijassa-2030	203	20	currency𝑉	currency𝑉	PROPN
ijassa-2030	203	21	,	,	PUNCT
ijassa-2030	203	22	deposited	deposit	VERB
ijassa-2030	203	23	via	via	ADP
ijassa-2030	203	24	currency	currency	NOUN
ijassa-2030	203	25	𝑉	𝑉	PROPN
ijassa-2030	203	26	(	(	PUNCT
ijassa-2030	203	27	𝑉	𝑉	PROPN
ijassa-2030	203	28	)	)	PUNCT
ijassa-2030	203	29	,	,	PUNCT
ijassa-2030	203	30	and	and	CCONJ
ijassa-2030	203	31	the	the	DET
ijassa-2030	203	32	direct	direct	ADJ
ijassa-2030	203	33	return	return	NOUN
ijassa-2030	203	34	on	on	ADP
ijassa-2030	203	35	currency𝑉	currency𝑉	PROPN
ijassa-2030	203	36	at	at	ADP
ijassa-2030	203	37	the	the	DET
ijassa-2030	203	38	highest	high	ADJ
ijassa-2030	203	39	final	final	ADJ
ijassa-2030	203	40	rate	rate	NOUN
ijassa-2030	203	41	𝑉	𝑉	PROPN
ijassa-2030	203	42	(	(	PUNCT
ijassa-2030	203	43	𝑉	𝑉	PROPN
ijassa-2030	203	44	)	)	PUNCT
ijassa-2030	203	45	.	.	PUNCT
ijassa-2030	204	1	consider	consider	VERB
ijassa-2030	204	2	the	the	DET
ijassa-2030	204	3	vector	vector	NOUN
ijassa-2030	204	4	maximization	maximization	NOUN
ijassa-2030	204	5	problem	problem	NOUN
ijassa-2030	204	6	⟨𝑋	⟨𝑋	PROPN
ijassa-2030	204	7	,	,	PUNCT
ijassa-2030	204	8	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	204	9	]	]	PUNCT
ijassa-2030	204	10	,	,	PUNCT
ijassa-2030	204	11	−𝛷[𝑥]⟩	−𝛷[𝑥]⟩	PROPN
ijassa-2030	204	12	,	,	PUNCT
ijassa-2030	204	13	(	(	PUNCT
ijassa-2030	204	14	32	32	NUM
ijassa-2030	204	15	)	)	PUNCT
ijassa-2030	204	16	in	in	ADP
ijassa-2030	204	17	which	which	PRON
ijassa-2030	204	18	risk	risk	NOUN
ijassa-2030	204	19	minimization	minimization	NOUN
ijassa-2030	204	20	is	be	AUX
ijassa-2030	204	21	replaced	replace	VERB
ijassa-2030	204	22	by	by	ADP
ijassa-2030	204	23	risk	risk	NOUN
ijassa-2030	204	24	maximization	maximization	NOUN
ijassa-2030	204	25	with	with	ADP
ijassa-2030	204	26	minus	minus	CCONJ
ijassa-2030	204	27	sign	sign	NOUN
ijassa-2030	204	28	,	,	PUNCT
ijassa-2030	204	29	the	the	DET
ijassa-2030	204	30	set	set	NOUN
ijassa-2030	204	31	of	of	ADP
ijassa-2030	204	32	admissible	admissible	ADJ
ijassa-2030	204	33	alternatives	alternative	NOUN
ijassa-2030	204	34	is	be	AUX
ijassa-2030	204	35	given	give	VERB
ijassa-2030	204	36	by	by	ADP
ijassa-2030	204	37	conditions	condition	NOUN
ijassa-2030	204	38	(	(	PUNCT
ijassa-2030	204	39	22	22	NUM
ijassa-2030	204	40	)	)	PUNCT
ijassa-2030	204	41	.	.	PUNCT
ijassa-2030	205	1	let	let	VERB
ijassa-2030	205	2	us	we	PRON
ijassa-2030	205	3	apply	apply	VERB
ijassa-2030	205	4	to	to	ADP
ijassa-2030	205	5	it	it	PRON
ijassa-2030	205	6	the	the	DET
ijassa-2030	205	7	ideas	idea	NOUN
ijassa-2030	205	8	from	from	ADP
ijassa-2030	205	9	the	the	DET
ijassa-2030	205	10	previous	previous	ADJ
ijassa-2030	205	11	section	section	NOUN
ijassa-2030	205	12	.	.	PUNCT
ijassa-2030	206	1	as	as	SCONJ
ijassa-2030	206	2	it	it	PRON
ijassa-2030	206	3	was	be	AUX
ijassa-2030	206	4	shown	show	VERB
ijassa-2030	206	5	above	above	ADP
ijassa-2030	206	6	,	,	PUNCT
ijassa-2030	206	7	the	the	DET
ijassa-2030	206	8	minimization	minimization	NOUN
ijassa-2030	206	9	of	of	ADP
ijassa-2030	206	10	guaranteed	guarantee	VERB
ijassa-2030	206	11	risk	risk	NOUN
ijassa-2030	206	12	can	can	AUX
ijassa-2030	206	13	be	be	AUX
ijassa-2030	206	14	performed	perform	VERB
ijassa-2030	206	15	by	by	ADP
ijassa-2030	206	16	solving	solve	VERB
ijassa-2030	206	17	the	the	DET
ijassa-2030	206	18	lp	lp	PROPN
ijassa-2030	206	19	problem	problem	NOUN
ijassa-2030	206	20	(	(	PUNCT
ijassa-2030	206	21	27	27	NUM
ijassa-2030	206	22	)	)	PUNCT
ijassa-2030	206	23	.	.	PUNCT
ijassa-2030	207	1	let	let	VERB
ijassa-2030	207	2	us	we	PRON
ijassa-2030	207	3	supplement	supplement	VERB
ijassa-2030	207	4	it	it	PRON
ijassa-2030	207	5	with	with	ADP
ijassa-2030	207	6	a	a	DET
ijassa-2030	207	7	restriction	restriction	NOUN
ijassa-2030	207	8	on	on	ADP
ijassa-2030	207	9	the	the	DET
ijassa-2030	207	10	value	value	NOUN
ijassa-2030	207	11	of	of	ADP
ijassa-2030	207	12	the	the	DET
ijassa-2030	207	13	first	first	ADJ
ijassa-2030	207	14	criterion	criterion	NOUN
ijassa-2030	207	15	–	–	PUNCT
ijassa-2030	207	16	guaranteed	guarantee	VERB
ijassa-2030	207	17	income	income	NOUN
ijassa-2030	207	18	:	:	PUNCT
ijassa-2030	207	19	⎩	⎩	PROPN
ijassa-2030	208	1	⎪⎪	⎪⎪	PROPN
ijassa-2030	208	2	⎨	⎨	PROPN
ijassa-2030	208	3	⎪⎪	⎪⎪	PROPN
ijassa-2030	208	4	⎧	⎧	PROPN
ijassa-2030	208	5	𝑧	𝑧	PROPN
ijassa-2030	208	6	⟶	⟶	NOUN
ijassa-2030	208	7	min	min	NOUN
ijassa-2030	208	8	,	,	PUNCT
ijassa-2030	208	9	𝑥	𝑥	PROPN
ijassa-2030	208	10	+	+	CCONJ
ijassa-2030	208	11	𝑥	𝑥	VERB
ijassa-2030	208	12	≤	≤	NUM
ijassa-2030	208	13	1	1	NUM
ijassa-2030	208	14	,	,	PUNCT
ijassa-2030	208	15	𝑥	𝑥	INTJ
ijassa-2030	208	16	,	,	PUNCT
ijassa-2030	208	17	𝑥	𝑥	PROPN
ijassa-2030	208	18	≥	≥	NOUN
ijassa-2030	208	19	0	0	NUM
ijassa-2030	208	20	,	,	PUNCT
ijassa-2030	208	21	𝑧	𝑧	PRON
ijassa-2030	208	22	−	−	NOUN
ijassa-2030	208	23	𝛼	𝛼	NOUN
ijassa-2030	208	24	𝑥	𝑥	X
ijassa-2030	208	25	−	−	NOUN
ijassa-2030	208	26	𝛼	𝛼	INTJ
ijassa-2030	208	27	𝑥	𝑥	PRON
ijassa-2030	208	28	≥	≥	NUM
ijassa-2030	208	29	0	0	NUM
ijassa-2030	208	30	,	,	PUNCT
ijassa-2030	208	31	𝑧	𝑧	X
ijassa-2030	208	32	+	+	X
ijassa-2030	209	1	𝛽	𝛽	NOUN
ijassa-2030	209	2	𝑥	𝑥	PRON
ijassa-2030	209	3	−	−	NOUN
ijassa-2030	209	4	𝛼	𝛼	PART
ijassa-2030	209	5	𝑥	𝑥	PROPN
ijassa-2030	209	6	≥	≥	NOUN
ijassa-2030	209	7	𝛽	𝛽	NOUN
ijassa-2030	209	8	,	,	PUNCT
ijassa-2030	209	9	𝑧	𝑧	PROPN
ijassa-2030	209	10	−	−	NOUN
ijassa-2030	209	11	𝛼	𝛼	NOUN
ijassa-2030	209	12	𝑥	𝑥	NOUN
ijassa-2030	210	1	+	+	CCONJ
ijassa-2030	210	2	𝛽	𝛽	NOUN
ijassa-2030	210	3	𝑥	𝑥	PRON
ijassa-2030	210	4	≥	≥	NOUN
ijassa-2030	210	5	𝛽	𝛽	PROPN
ijassa-2030	210	6	,	,	PUNCT
ijassa-2030	210	7	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	210	8	]	]	PUNCT
ijassa-2030	210	9	=	=	PUNCT
ijassa-2030	210	10	−𝛼	−𝛼	PROPN
ijassa-2030	210	11	𝑥	𝑥	PRON
ijassa-2030	210	12	−	−	NOUN
ijassa-2030	210	13	𝛼	𝛼	NOUN
ijassa-2030	210	14	𝑥	𝑥	NOUN
ijassa-2030	210	15	+	+	CCONJ
ijassa-2030	210	16	(	(	PUNCT
ijassa-2030	210	17	1	1	NUM
ijassa-2030	210	18	+	+	CCONJ
ijassa-2030	210	19	𝑑	𝑑	NOUN
ijassa-2030	210	20	)	)	PUNCT
ijassa-2030	210	21	≥	≥	NOUN
ijassa-2030	211	1	𝐶.	𝐶.	PROPN
ijassa-2030	211	2	(	(	PUNCT
ijassa-2030	211	3	33	33	NUM
ijassa-2030	211	4	)	)	PUNCT
ijassa-2030	211	5	the	the	DET
ijassa-2030	211	6	parameter	parameter	NOUN
ijassa-2030	211	7	𝐶	𝐶	PROPN
ijassa-2030	211	8	has	have	VERB
ijassa-2030	211	9	the	the	DET
ijassa-2030	211	10	meaning	meaning	NOUN
ijassa-2030	211	11	of	of	ADP
ijassa-2030	211	12	the	the	DET
ijassa-2030	211	13	minimum	minimum	ADJ
ijassa-2030	211	14	acceptable	acceptable	ADJ
ijassa-2030	211	15	guaranteed	guarantee	VERB
ijassa-2030	211	16	income	income	NOUN
ijassa-2030	211	17	.	.	PUNCT
ijassa-2030	212	1	potentially	potentially	ADV
ijassa-2030	212	2	,	,	PUNCT
ijassa-2030	212	3	the	the	DET
ijassa-2030	212	4	solution	solution	NOUN
ijassa-2030	212	5	of	of	ADP
ijassa-2030	212	6	the	the	DET
ijassa-2030	212	7	lp	lp	PROPN
ijassa-2030	212	8	problem	problem	NOUN
ijassa-2030	212	9	(	(	PUNCT
ijassa-2030	212	10	33	33	NUM
ijassa-2030	212	11	)	)	PUNCT
ijassa-2030	212	12	at	at	ADP
ijassa-2030	212	13	all	all	DET
ijassa-2030	212	14	values	value	NOUN
ijassa-2030	212	15	of	of	ADP
ijassa-2030	212	16	𝐶	𝐶	PROPN
ijassa-2030	212	17	from	from	ADP
ijassa-2030	212	18	𝐶	𝐶	PROPN
ijassa-2030	212	19	=	=	SYM
ijassa-2030	212	20	max	max	PROPN
ijassa-2030	212	21	∈	∈	PROPN
ijassa-2030	212	22	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	212	23	)	)	PUNCT
ijassa-2030	212	24	to	to	ADP
ijassa-2030	212	25	𝐶	𝐶	PROPN
ijassa-2030	212	26	=	=	SYM
ijassa-2030	212	27	min	min	PROPN
ijassa-2030	212	28	∈	∈	PROPN
ijassa-2030	212	29	𝑓(𝑥	𝑓(𝑥	NOUN
ijassa-2030	212	30	)	)	PUNCT
ijassa-2030	212	31	will	will	AUX
ijassa-2030	212	32	give	give	VERB
ijassa-2030	212	33	the	the	DET
ijassa-2030	212	34	whole	whole	ADJ
ijassa-2030	212	35	set	set	VERB
ijassa-2030	212	36	𝑋	𝑋	NOUN
ijassa-2030	212	37	of	of	ADP
ijassa-2030	212	38	pareto	pareto	ADJ
ijassa-2030	212	39	-	-	PUNCT
ijassa-2030	212	40	optimal	optimal	ADJ
ijassa-2030	212	41	solutions	solution	NOUN
ijassa-2030	212	42	(	(	PUNCT
ijassa-2030	212	43	more	more	ADV
ijassa-2030	212	44	precisely	precisely	ADV
ijassa-2030	212	45	,	,	PUNCT
ijassa-2030	212	46	we	we	PRON
ijassa-2030	212	47	obtain	obtain	VERB
ijassa-2030	212	48	the	the	DET
ijassa-2030	212	49	set	set	NOUN
ijassa-2030	212	50	of	of	ADP
ijassa-2030	212	51	all	all	DET
ijassa-2030	212	52	slater	slater	NOUN
ijassa-2030	212	53	-	-	PUNCT
ijassa-2030	212	54	optimal	optimal	ADJ
ijassa-2030	212	55	solutions	solution	NOUN
ijassa-2030	212	56	𝑋	𝑋	PROPN
ijassa-2030	212	57	⊇	⊇	NOUN
ijassa-2030	212	58	𝑋	𝑋	PROPN
ijassa-2030	212	59	)	)	PUNCT
ijassa-2030	212	60	.	.	PUNCT
ijassa-2030	213	1	the	the	DET
ijassa-2030	213	2	interval	interval	NOUN
ijassa-2030	213	3	for	for	ADP
ijassa-2030	213	4	the	the	DET
ijassa-2030	213	5	parameter	parameter	NOUN
ijassa-2030	213	6	𝐶	𝐶	PROPN
ijassa-2030	213	7	can	can	AUX
ijassa-2030	213	8	be	be	AUX
ijassa-2030	213	9	reduced	reduce	VERB
ijassa-2030	213	10	until	until	ADP
ijassa-2030	213	11	the	the	DET
ijassa-2030	213	12	moment	moment	NOUN
ijassa-2030	213	13	of	of	ADP
ijassa-2030	213	14	reaching	reach	VERB
ijassa-2030	213	15	the	the	DET
ijassa-2030	213	16	extreme	extreme	ADJ
ijassa-2030	213	17	value	value	NOUN
ijassa-2030	213	18	of	of	ADP
ijassa-2030	213	19	the	the	DET
ijassa-2030	213	20	second	second	ADJ
ijassa-2030	213	21	criterion	criterion	NOUN
ijassa-2030	213	22	,	,	PUNCT
ijassa-2030	213	23	because	because	SCONJ
ijassa-2030	213	24	further	further	ADJ
ijassa-2030	213	25	reduction	reduction	NOUN
ijassa-2030	213	26	of	of	ADP
ijassa-2030	213	27	this	this	DET
ijassa-2030	213	28	parameter	parameter	NOUN
ijassa-2030	213	29	will	will	AUX
ijassa-2030	213	30	only	only	ADV
ijassa-2030	213	31	lead	lead	VERB
ijassa-2030	213	32	to	to	ADP
ijassa-2030	213	33	deterioration	deterioration	NOUN
ijassa-2030	213	34	(	(	PUNCT
ijassa-2030	213	35	reduction	reduction	NOUN
ijassa-2030	213	36	)	)	PUNCT
ijassa-2030	213	37	of	of	ADP
ijassa-2030	213	38	the	the	DET
ijassa-2030	213	39	guaranteed	guarantee	VERB
ijassa-2030	213	40	income	income	NOUN
ijassa-2030	213	41	without	without	ADP
ijassa-2030	213	42	improving	improve	VERB
ijassa-2030	213	43	the	the	DET
ijassa-2030	213	44	value	value	NOUN
ijassa-2030	213	45	of	of	ADP
ijassa-2030	213	46	the	the	DET
ijassa-2030	213	47	guaranteed	guarantee	VERB
ijassa-2030	213	48	risk	risk	NOUN
ijassa-2030	213	49	.	.	PUNCT
ijassa-2030	214	1	therefore	therefore	ADV
ijassa-2030	214	2	,	,	PUNCT
ijassa-2030	214	3	new	new	ADJ
ijassa-2030	214	4	neither	neither	CCONJ
ijassa-2030	214	5	slater	slater	NOUN
ijassa-2030	214	6	-	-	PUNCT
ijassa-2030	214	7	optimal	optimal	ADJ
ijassa-2030	214	8	nor	nor	CCONJ
ijassa-2030	214	9	pareto	pareto	ADJ
ijassa-2030	214	10	-	-	PUNCT
ijassa-2030	214	11	optimal	optimal	ADJ
ijassa-2030	214	12	solutions	solution	NOUN
ijassa-2030	214	13	will	will	AUX
ijassa-2030	214	14	be	be	AUX
ijassa-2030	214	15	obtained	obtain	VERB
ijassa-2030	214	16	.	.	PUNCT
ijassa-2030	215	1	in	in	ADP
ijassa-2030	215	2	practice	practice	NOUN
ijassa-2030	215	3	,	,	PUNCT
ijassa-2030	215	4	of	of	ADP
ijassa-2030	215	5	course	course	NOUN
ijassa-2030	215	6	,	,	PUNCT
ijassa-2030	215	7	one	one	PRON
ijassa-2030	215	8	has	have	VERB
ijassa-2030	215	9	to	to	PART
ijassa-2030	215	10	consider	consider	VERB
ijassa-2030	215	11	a	a	DET
ijassa-2030	215	12	discrete	discrete	ADJ
ijassa-2030	215	13	finite	finite	NOUN
ijassa-2030	215	14	set	set	NOUN
ijassa-2030	215	15	of	of	ADP
ijassa-2030	215	16	values	value	NOUN
ijassa-2030	215	17	of	of	ADP
ijassa-2030	215	18	the	the	DET
ijassa-2030	215	19	parameter	parameter	NOUN
ijassa-2030	215	20	𝐶	𝐶	PROPN
ijassa-2030	215	21	.	.	PUNCT
ijassa-2030	216	1	for	for	ADP
ijassa-2030	216	2	example	example	NOUN
ijassa-2030	216	3	,	,	PUNCT
ijassa-2030	216	4	we	we	PRON
ijassa-2030	216	5	can	can	AUX
ijassa-2030	216	6	use	use	VERB
ijassa-2030	216	7	the	the	DET
ijassa-2030	216	8	sequence	sequence	NOUN
ijassa-2030	216	9	{	{	PUNCT
ijassa-2030	216	10	𝐶	𝐶	PROPN
ijassa-2030	216	11	}	}	PUNCT
ijassa-2030	216	12	:	:	PUNCT
ijassa-2030	216	13	𝐶	𝐶	PROPN
ijassa-2030	216	14	=	=	PROPN
ijassa-2030	216	15	𝐶	𝐶	PROPN
ijassa-2030	216	16	(	(	PUNCT
ijassa-2030	216	17	1	1	NUM
ijassa-2030	216	18	−	−	PROPN
ijassa-2030	216	19	∆	∆	PROPN
ijassa-2030	216	20	)	)	PUNCT
ijassa-2030	216	21	,	,	PUNCT
ijassa-2030	216	22	𝑘	𝑘	X
ijassa-2030	216	23	=	=	NOUN
ijassa-2030	216	24	0,1,2	0,1,2	NUM
ijassa-2030	216	25	,	,	PUNCT
ijassa-2030	216	26	…	…	PUNCT
ijassa-2030	216	27	𝑘	𝑘	INTJ
ijassa-2030	216	28	,	,	PUNCT
ijassa-2030	216	29	(	(	PUNCT
ijassa-2030	216	30	34	34	NUM
ijassa-2030	216	31	)	)	PUNCT
ijassa-2030	216	32	where	where	SCONJ
ijassa-2030	216	33	𝑘	𝑘	NOUN
ijassa-2030	216	34	is	be	AUX
ijassa-2030	216	35	defined	define	VERB
ijassa-2030	216	36	from	from	ADP
ijassa-2030	216	37	the	the	DET
ijassa-2030	216	38	condition	condition	NOUN
ijassa-2030	216	39	φ	φ	NOUN
ijassa-2030	216	40	𝑥	𝑥	NOUN
ijassa-2030	216	41	=	=	SYM
ijassa-2030	216	42	min	min	PROPN
ijassa-2030	216	43	∈	∈	PROPN
ijassa-2030	216	44	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	216	45	]	]	X
ijassa-2030	216	46	,	,	PUNCT
ijassa-2030	216	47	{	{	PUNCT
ijassa-2030	216	48	𝑥	𝑥	X
ijassa-2030	216	49	}	}	PUNCT
ijassa-2030	216	50	is	be	AUX
ijassa-2030	216	51	the	the	DET
ijassa-2030	216	52	sequence	sequence	NOUN
ijassa-2030	216	53	of	of	ADP
ijassa-2030	216	54	solutions	solution	NOUN
ijassa-2030	216	55	of	of	ADP
ijassa-2030	216	56	problem	problem	NOUN
ijassa-2030	216	57	(	(	PUNCT
ijassa-2030	216	58	33	33	NUM
ijassa-2030	216	59	)	)	PUNCT
ijassa-2030	216	60	.	.	PUNCT
ijassa-2030	217	1	it	it	PRON
ijassa-2030	217	2	follows	follow	VERB
ijassa-2030	217	3	from	from	ADP
ijassa-2030	217	4	the	the	DET
ijassa-2030	217	5	results	result	NOUN
ijassa-2030	217	6	of	of	ADP
ijassa-2030	217	7	section	section	NOUN
ijassa-2030	217	8	5	5	NUM
ijassa-2030	217	9	that	that	SCONJ
ijassa-2030	217	10	𝐶	𝐶	PROPN
ijassa-2030	217	11	=	=	SYM
ijassa-2030	217	12	max	max	PROPN
ijassa-2030	217	13	∈	∈	PROPN
ijassa-2030	217	14	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	217	15	]	]	X
ijassa-2030	217	16	=	=	PUNCT
ijassa-2030	217	17	max(−𝛼	max(−𝛼	PROPN
ijassa-2030	217	18	,	,	PUNCT
ijassa-2030	217	19	−𝛼	−𝛼	PROPN
ijassa-2030	217	20	)	)	PUNCT
ijassa-2030	218	1	+	+	CCONJ
ijassa-2030	218	2	(	(	PUNCT
ijassa-2030	218	3	1	1	NUM
ijassa-2030	218	4	+	+	CCONJ
ijassa-2030	218	5	𝑑	𝑑	NOUN
ijassa-2030	218	6	)	)	PUNCT
ijassa-2030	218	7	,	,	PUNCT
ijassa-2030	218	8	(	(	PUNCT
ijassa-2030	218	9	35	35	NUM
ijassa-2030	218	10	)	)	PUNCT
ijassa-2030	218	11	𝐶	𝐶	PROPN
ijassa-2030	218	12	=	=	SYM
ijassa-2030	218	13	min	min	PROPN
ijassa-2030	218	14	∈	∈	PROPN
ijassa-2030	218	15	𝑓[𝑥	𝑓[𝑥	PROPN
ijassa-2030	218	16	]	]	X
ijassa-2030	218	17	=	=	SYM
ijassa-2030	218	18	min(−𝛼	min(−𝛼	PROPN
ijassa-2030	218	19	,	,	PUNCT
ijassa-2030	218	20	−𝛼	−𝛼	PROPN
ijassa-2030	218	21	)	)	PUNCT
ijassa-2030	219	1	+	+	CCONJ
ijassa-2030	219	2	(	(	PUNCT
ijassa-2030	219	3	1	1	NUM
ijassa-2030	219	4	+	+	CCONJ
ijassa-2030	219	5	𝑑	𝑑	NOUN
ijassa-2030	219	6	)	)	PUNCT
ijassa-2030	219	7	,	,	PUNCT
ijassa-2030	219	8	(	(	PUNCT
ijassa-2030	219	9	36	36	NUM
ijassa-2030	219	10	)	)	PUNCT
ijassa-2030	219	11	and	and	CCONJ
ijassa-2030	219	12	min	min	PROPN
ijassa-2030	219	13	∈	∈	PROPN
ijassa-2030	219	14	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	219	15	]	]	PUNCT
ijassa-2030	219	16	is	be	AUX
ijassa-2030	219	17	found	find	VERB
ijassa-2030	219	18	from	from	ADP
ijassa-2030	219	19	the	the	DET
ijassa-2030	219	20	solution	solution	NOUN
ijassa-2030	219	21	of	of	ADP
ijassa-2030	219	22	the	the	DET
ijassa-2030	219	23	single	single	ADJ
ijassa-2030	219	24	-	-	PUNCT
ijassa-2030	219	25	criteria	criterion	NOUN
ijassa-2030	219	26	lp	lp	NOUN
ijassa-2030	219	27	problem	problem	NOUN
ijassa-2030	219	28	(	(	PUNCT
ijassa-2030	219	29	27	27	NUM
ijassa-2030	219	30	)	)	PUNCT
ijassa-2030	219	31	about	about	ADP
ijassa-2030	219	32	the	the	DET
ijassa-2030	219	33	minimum	minimum	ADJ
ijassa-2030	219	34	guaranteed	guarantee	VERB
ijassa-2030	219	35	risk	risk	NOUN
ijassa-2030	219	36	.	.	PUNCT
ijassa-2030	220	1	the	the	DET
ijassa-2030	220	2	result	result	NOUN
ijassa-2030	220	3	of	of	ADP
ijassa-2030	220	4	solving	solve	VERB
ijassa-2030	220	5	the	the	DET
ijassa-2030	220	6	problem	problem	NOUN
ijassa-2030	220	7	(	(	PUNCT
ijassa-2030	220	8	33	33	NUM
ijassa-2030	220	9	)	)	PUNCT
ijassa-2030	220	10	(	(	PUNCT
ijassa-2030	220	11	𝑥	𝑥	X
ijassa-2030	220	12	(	(	PUNCT
ijassa-2030	220	13	)	)	PUNCT
ijassa-2030	220	14	,	,	PUNCT
ijassa-2030	220	15	𝑧	𝑧	PROPN
ijassa-2030	220	16	(	(	PUNCT
ijassa-2030	220	17	)	)	PUNCT
ijassa-2030	220	18	)	)	PUNCT
ijassa-2030	220	19	has	have	VERB
ijassa-2030	220	20	a	a	DET
ijassa-2030	220	21	transparent	transparent	ADJ
ijassa-2030	220	22	and	and	CCONJ
ijassa-2030	220	23	understandable	understandable	ADJ
ijassa-2030	220	24	interpretation	interpretation	NOUN
ijassa-2030	220	25	for	for	ADP
ijassa-2030	220	26	the	the	DET
ijassa-2030	220	27	dm	dm	PROPN
ijassa-2030	220	28	.	.	PUNCT
ijassa-2030	221	1	let	let	VERB
ijassa-2030	221	2	the	the	DET
ijassa-2030	221	3	dm	dm	PROPN
ijassa-2030	221	4	agrees	agree	VERB
ijassa-2030	221	5	to	to	PART
ijassa-2030	221	6	reduce	reduce	VERB
ijassa-2030	221	7	the	the	DET
ijassa-2030	221	8	guaranteed	guarantee	VERB
ijassa-2030	221	9	income	income	NOUN
ijassa-2030	221	10	by	by	ADP
ijassa-2030	221	11	no	no	DET
ijassa-2030	221	12	more	more	ADJ
ijassa-2030	221	13	than	than	ADP
ijassa-2030	221	14	100∆	100∆	NUM
ijassa-2030	221	15	%	%	NOUN
ijassa-2030	221	16	of	of	ADP
ijassa-2030	221	17	the	the	DET
ijassa-2030	221	18	maximum	maximum	ADJ
ijassa-2030	221	19	value	value	NOUN
ijassa-2030	221	20	.	.	PUNCT
ijassa-2030	222	1	under	under	ADP
ijassa-2030	222	2	this	this	DET
ijassa-2030	222	3	condition	condition	NOUN
ijassa-2030	222	4	,	,	PUNCT
ijassa-2030	222	5	the	the	DET
ijassa-2030	222	6	solution	solution	NOUN
ijassa-2030	222	7	𝑥	𝑥	NOUN
ijassa-2030	222	8	(	(	PUNCT
ijassa-2030	222	9	)	)	PUNCT
ijassa-2030	222	10	guarantees	guarantee	VERB
ijassa-2030	222	11	the	the	DET
ijassa-2030	222	12	risk	risk	NOUN
ijassa-2030	222	13	of	of	ADP
ijassa-2030	222	14	no	no	DET
ijassa-2030	222	15	more	more	ADJ
ijassa-2030	222	16	than	than	ADP
ijassa-2030	222	17	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	222	18	(	(	PUNCT
ijassa-2030	222	19	)	)	PUNCT
ijassa-2030	222	20	]	]	PUNCT
ijassa-2030	223	1	=	=	PUNCT
ijassa-2030	223	2	𝑧	𝑧	X
ijassa-2030	223	3	(	(	PUNCT
ijassa-2030	223	4	)	)	PUNCT
ijassa-2030	223	5	.	.	PUNCT
ijassa-2030	224	1	the	the	DET
ijassa-2030	224	2	sequence	sequence	NOUN
ijassa-2030	224	3	of	of	ADP
ijassa-2030	224	4	points	point	NOUN
ijassa-2030	224	5	{	{	PUNCT
ijassa-2030	224	6	𝑥	𝑥	X
ijassa-2030	224	7	(	(	PUNCT
ijassa-2030	224	8	)	)	PUNCT
ijassa-2030	224	9	}	}	PUNCT
ijassa-2030	224	10	=	=	SYM
ijassa-2030	224	11	{	{	PUNCT
ijassa-2030	224	12	(	(	PUNCT
ijassa-2030	224	13	𝑥	𝑥	X
ijassa-2030	224	14	(	(	PUNCT
ijassa-2030	224	15	)	)	PUNCT
ijassa-2030	224	16	,	,	PUNCT
ijassa-2030	224	17	𝑥	𝑥	PROPN
ijassa-2030	224	18	(	(	PUNCT
ijassa-2030	224	19	)	)	PUNCT
ijassa-2030	224	20	)	)	PUNCT
ijassa-2030	224	21	}	}	PUNCT
ijassa-2030	224	22	generates	generate	VERB
ijassa-2030	224	23	a	a	DET
ijassa-2030	224	24	sequence	sequence	NOUN
ijassa-2030	224	25	of	of	ADP
ijassa-2030	224	26	values	value	NOUN
ijassa-2030	224	27	of	of	ADP
ijassa-2030	224	28	the	the	DET
ijassa-2030	224	29	vector	vector	NOUN
ijassa-2030	224	30	criteria	criterion	NOUN
ijassa-2030	224	31	{	{	PUNCT
ijassa-2030	224	32	(	(	PUNCT
ijassa-2030	224	33	f[𝑥	f[𝑥	NOUN
ijassa-2030	224	34	(	(	PUNCT
ijassa-2030	224	35	)	)	PUNCT
ijassa-2030	224	36	]	]	X
ijassa-2030	224	37	,	,	PUNCT
ijassa-2030	224	38	φ[𝑥	φ[𝑥	PROPN
ijassa-2030	224	39	(	(	PUNCT
ijassa-2030	224	40	)	)	PUNCT
ijassa-2030	224	41	]	]	PUNCT
ijassa-2030	224	42	)	)	PUNCT
ijassa-2030	224	43	}	}	PUNCT
ijassa-2030	224	44	.	.	PUNCT
ijassa-2030	225	1	recall	recall	VERB
ijassa-2030	225	2	that	that	SCONJ
ijassa-2030	225	3	the	the	DET
ijassa-2030	225	4	volume	volume	NOUN
ijassa-2030	225	5	of	of	ADP
ijassa-2030	225	6	currency	currency	NOUN
ijassa-2030	226	1	𝑥	𝑥	NOUN
ijassa-2030	226	2	=	=	SYM
ijassa-2030	226	3	1	1	NUM
ijassa-2030	226	4	−	−	NOUN
ijassa-2030	226	5	𝑥	𝑥	PRON
ijassa-2030	226	6	−𝑥	−𝑥	NOUN
ijassa-2030	226	7	.	.	PUNCT
ijassa-2030	227	1	this	this	DET
ijassa-2030	227	2	information	information	NOUN
ijassa-2030	227	3	,	,	PUNCT
ijassa-2030	227	4	presented	present	VERB
ijassa-2030	227	5	in	in	ADP
ijassa-2030	227	6	tabular	tabular	NOUN
ijassa-2030	227	7	and	and	CCONJ
ijassa-2030	227	8	graphical	graphical	ADJ
ijassa-2030	227	9	form	form	NOUN
ijassa-2030	227	10	,	,	PUNCT
ijassa-2030	227	11	can	can	AUX
ijassa-2030	227	12	be	be	AUX
ijassa-2030	227	13	used	use	VERB
ijassa-2030	227	14	by	by	ADP
ijassa-2030	227	15	the	the	DET
ijassa-2030	227	16	dm	dm	PROPN
ijassa-2030	227	17	,	,	PUNCT
ijassa-2030	227	18	along	along	ADP
ijassa-2030	227	19	with	with	ADP
ijassa-2030	227	20	other	other	ADJ
ijassa-2030	227	21	considerations	consideration	NOUN
ijassa-2030	227	22	available	available	ADJ
ijassa-2030	227	23	to	to	ADP
ijassa-2030	227	24	him	he	PRON
ijassa-2030	227	25	,	,	PUNCT
ijassa-2030	227	26	to	to	PART
ijassa-2030	227	27	make	make	VERB
ijassa-2030	227	28	the	the	DET
ijassa-2030	227	29	final	final	ADJ
ijassa-2030	227	30	decision	decision	NOUN
ijassa-2030	227	31	on	on	ADP
ijassa-2030	227	32	the	the	DET
ijassa-2030	227	33	deposit	deposit	NOUN
ijassa-2030	227	34	structure	structure	NOUN
ijassa-2030	227	35	.	.	PUNCT
ijassa-2030	228	1	v.s.	v.s.	PRON
ijassa-2030	228	2	molostvov	molostvov	PROPN
ijassa-2030	228	3	10	10	NUM
ijassa-2030	228	4	copyright	copyright	NOUN
ijassa-2030	228	5	©	©	PROPN
ijassa-2030	228	6	2025	2025	NUM
ijassa-2030	228	7	assa	assa	PROPN
ijassa-2030	228	8	adv	adv	PROPN
ijassa-2030	228	9	.	.	PUNCT
ijassa-2030	229	1	in	in	ADP
ijassa-2030	229	2	systems	system	NOUN
ijassa-2030	229	3	science	science	NOUN
ijassa-2030	229	4	and	and	CCONJ
ijassa-2030	229	5	appl	appl	NOUN
ijassa-2030	229	6	.	.	PUNCT
ijassa-2030	230	1	(	(	PUNCT
ijassa-2030	230	2	2025	2025	NUM
ijassa-2030	230	3	)	)	PUNCT
ijassa-2030	230	4	conclusion	conclusion	NOUN
ijassa-2030	230	5	the	the	DET
ijassa-2030	230	6	problems	problem	NOUN
ijassa-2030	230	7	of	of	ADP
ijassa-2030	230	8	decision	decision	NOUN
ijassa-2030	230	9	making	make	VERB
ijassa-2030	230	10	under	under	ADP
ijassa-2030	230	11	complete	complete	ADJ
ijassa-2030	230	12	information	information	NOUN
ijassa-2030	230	13	for	for	ADP
ijassa-2030	230	14	linear	linear	PROPN
ijassa-2030	230	15	systems	system	NOUN
ijassa-2030	230	16	are	be	AUX
ijassa-2030	230	17	sufficiently	sufficiently	ADV
ijassa-2030	230	18	developed	develop	VERB
ijassa-2030	230	19	both	both	PRON
ijassa-2030	230	20	in	in	ADP
ijassa-2030	230	21	theory	theory	NOUN
ijassa-2030	230	22	and	and	CCONJ
ijassa-2030	230	23	in	in	ADP
ijassa-2030	230	24	applications	application	NOUN
ijassa-2030	230	25	.	.	PUNCT
ijassa-2030	231	1	however	however	ADV
ijassa-2030	231	2	,	,	PUNCT
ijassa-2030	231	3	as	as	ADP
ijassa-2030	231	4	a	a	DET
ijassa-2030	231	5	rule	rule	NOUN
ijassa-2030	231	6	,	,	PUNCT
ijassa-2030	231	7	in	in	ADP
ijassa-2030	231	8	practice	practice	NOUN
ijassa-2030	231	9	,	,	PUNCT
ijassa-2030	231	10	decision	decision	NOUN
ijassa-2030	231	11	making	making	NOUN
ijassa-2030	231	12	occurs	occur	VERB
ijassa-2030	231	13	under	under	ADP
ijassa-2030	231	14	uncertainty	uncertainty	NOUN
ijassa-2030	231	15	of	of	ADP
ijassa-2030	231	16	a	a	DET
ijassa-2030	231	17	number	number	NOUN
ijassa-2030	231	18	of	of	ADP
ijassa-2030	231	19	parameters	parameter	NOUN
ijassa-2030	231	20	.	.	PUNCT
ijassa-2030	232	1	in	in	ADP
ijassa-2030	232	2	economic	economic	ADJ
ijassa-2030	232	3	research	research	NOUN
ijassa-2030	232	4	,	,	PUNCT
ijassa-2030	232	5	these	these	PRON
ijassa-2030	232	6	are	be	AUX
ijassa-2030	232	7	usually	usually	ADV
ijassa-2030	232	8	future	future	ADJ
ijassa-2030	232	9	values	value	NOUN
ijassa-2030	232	10	of	of	ADP
ijassa-2030	232	11	prices	price	NOUN
ijassa-2030	232	12	,	,	PUNCT
ijassa-2030	232	13	exchange	exchange	NOUN
ijassa-2030	232	14	rates	rate	NOUN
ijassa-2030	232	15	,	,	PUNCT
ijassa-2030	232	16	demand	demand	NOUN
ijassa-2030	232	17	,	,	PUNCT
ijassa-2030	232	18	terms	term	NOUN
ijassa-2030	232	19	of	of	ADP
ijassa-2030	232	20	transactions	transaction	NOUN
ijassa-2030	232	21	,	,	PUNCT
ijassa-2030	232	22	etc	etc	X
ijassa-2030	232	23	.	.	X
ijassa-2030	233	1	the	the	DET
ijassa-2030	233	2	two	two	NUM
ijassa-2030	233	3	most	most	ADV
ijassa-2030	233	4	commonly	commonly	ADV
ijassa-2030	233	5	used	use	VERB
ijassa-2030	233	6	performance	performance	NOUN
ijassa-2030	233	7	indicators	indicator	NOUN
ijassa-2030	233	8	in	in	ADP
ijassa-2030	233	9	this	this	DET
ijassa-2030	233	10	situation	situation	NOUN
ijassa-2030	233	11	are	be	AUX
ijassa-2030	233	12	income	income	NOUN
ijassa-2030	233	13	and	and	CCONJ
ijassa-2030	233	14	savage	savage	ADJ
ijassa-2030	233	15	risk	risk	NOUN
ijassa-2030	233	16	[	[	X
ijassa-2030	233	17	2	2	NUM
ijassa-2030	233	18	]	]	PUNCT
ijassa-2030	233	19	,	,	PUNCT
ijassa-2030	233	20	understood	understand	VERB
ijassa-2030	233	21	as	as	ADP
ijassa-2030	233	22	loss	loss	NOUN
ijassa-2030	233	23	of	of	ADP
ijassa-2030	233	24	income	income	NOUN
ijassa-2030	233	25	due	due	ADP
ijassa-2030	233	26	to	to	ADP
ijassa-2030	233	27	incomplete	incomplete	ADJ
ijassa-2030	233	28	information	information	NOUN
ijassa-2030	233	29	.	.	PUNCT
ijassa-2030	234	1	the	the	DET
ijassa-2030	234	2	maximizing	maximizing	NOUN
ijassa-2030	234	3	(	(	PUNCT
ijassa-2030	234	4	for	for	ADP
ijassa-2030	234	5	income	income	NOUN
ijassa-2030	234	6	)	)	PUNCT
ijassa-2030	234	7	or	or	CCONJ
ijassa-2030	234	8	minimizing	minimize	VERB
ijassa-2030	234	9	(	(	PUNCT
ijassa-2030	234	10	for	for	ADP
ijassa-2030	234	11	risk	risk	NOUN
ijassa-2030	234	12	)	)	PUNCT
ijassa-2030	234	13	strategies	strategy	NOUN
ijassa-2030	234	14	of	of	ADP
ijassa-2030	234	15	dm	dm	PRON
ijassa-2030	234	16	are	be	AUX
ijassa-2030	234	17	considered	consider	VERB
ijassa-2030	234	18	as	as	ADP
ijassa-2030	234	19	the	the	DET
ijassa-2030	234	20	optimal	optimal	ADJ
ijassa-2030	234	21	solution	solution	NOUN
ijassa-2030	234	22	in	in	ADP
ijassa-2030	234	23	accordance	accordance	NOUN
ijassa-2030	234	24	with	with	ADP
ijassa-2030	234	25	the	the	DET
ijassa-2030	234	26	principle	principle	NOUN
ijassa-2030	234	27	of	of	ADP
ijassa-2030	234	28	the	the	DET
ijassa-2030	234	29	best	well	ADV
ijassa-2030	234	30	-	-	PUNCT
ijassa-2030	234	31	guaranteed	guarantee	VERB
ijassa-2030	234	32	result	result	NOUN
ijassa-2030	234	33	[	[	X
ijassa-2030	234	34	1	1	NUM
ijassa-2030	234	35	]	]	PUNCT
ijassa-2030	234	36	.	.	PUNCT
ijassa-2030	235	1	the	the	DET
ijassa-2030	235	2	possibility	possibility	NOUN
ijassa-2030	235	3	of	of	ADP
ijassa-2030	235	4	obtaining	obtain	VERB
ijassa-2030	235	5	optimal	optimal	ADJ
ijassa-2030	235	6	solutions	solution	NOUN
ijassa-2030	235	7	in	in	ADP
ijassa-2030	235	8	linear	linear	PROPN
ijassa-2030	235	9	systems	system	NOUN
ijassa-2030	235	10	with	with	ADP
ijassa-2030	235	11	interval	interval	NOUN
ijassa-2030	235	12	uncertainty	uncertainty	NOUN
ijassa-2030	235	13	of	of	ADP
ijassa-2030	235	14	coefficients	coefficient	NOUN
ijassa-2030	235	15	by	by	ADP
ijassa-2030	235	16	methods	method	NOUN
ijassa-2030	235	17	of	of	ADP
ijassa-2030	235	18	piecewise	piecewise	NOUN
ijassa-2030	235	19	linear	linear	NOUN
ijassa-2030	235	20	programming	programming	NOUN
ijassa-2030	235	21	was	be	AUX
ijassa-2030	235	22	considered	consider	VERB
ijassa-2030	235	23	within	within	ADP
ijassa-2030	235	24	the	the	DET
ijassa-2030	235	25	framework	framework	NOUN
ijassa-2030	235	26	of	of	ADP
ijassa-2030	235	27	the	the	DET
ijassa-2030	235	28	above	above	ADJ
ijassa-2030	235	29	approach	approach	NOUN
ijassa-2030	235	30	.	.	PUNCT
ijassa-2030	236	1	the	the	DET
ijassa-2030	236	2	problem	problem	NOUN
ijassa-2030	236	3	of	of	ADP
ijassa-2030	236	4	resource	resource	NOUN
ijassa-2030	236	5	allocation	allocation	NOUN
ijassa-2030	236	6	by	by	ADP
ijassa-2030	236	7	several	several	ADJ
ijassa-2030	236	8	types	type	NOUN
ijassa-2030	236	9	of	of	ADP
ijassa-2030	236	10	activity	activity	NOUN
ijassa-2030	236	11	was	be	AUX
ijassa-2030	236	12	studied	study	VERB
ijassa-2030	236	13	.	.	PUNCT
ijassa-2030	237	1	the	the	DET
ijassa-2030	237	2	income	income	NOUN
ijassa-2030	237	3	given	give	VERB
ijassa-2030	237	4	uncertain	uncertain	ADJ
ijassa-2030	237	5	factors	factor	NOUN
ijassa-2030	237	6	is	be	AUX
ijassa-2030	237	7	a	a	DET
ijassa-2030	237	8	bilinear	bilinear	NOUN
ijassa-2030	237	9	function	function	NOUN
ijassa-2030	237	10	,	,	PUNCT
ijassa-2030	237	11	linear	linear	ADV
ijassa-2030	237	12	on	on	ADP
ijassa-2030	237	13	strategy	strategy	NOUN
ijassa-2030	237	14	under	under	ADP
ijassa-2030	237	15	fixed	fix	VERB
ijassa-2030	237	16	uncertainty	uncertainty	NOUN
ijassa-2030	237	17	and	and	CCONJ
ijassa-2030	237	18	on	on	ADP
ijassa-2030	237	19	uncertain	uncertain	ADJ
ijassa-2030	237	20	parameters	parameter	NOUN
ijassa-2030	237	21	under	under	ADP
ijassa-2030	237	22	fixed	fix	VERB
ijassa-2030	237	23	strategy	strategy	NOUN
ijassa-2030	237	24	.	.	PUNCT
ijassa-2030	238	1	the	the	DET
ijassa-2030	238	2	sets	set	NOUN
ijassa-2030	238	3	of	of	ADP
ijassa-2030	238	4	admissible	admissible	ADJ
ijassa-2030	238	5	strategies	strategy	NOUN
ijassa-2030	238	6	and	and	CCONJ
ijassa-2030	238	7	possible	possible	ADJ
ijassa-2030	238	8	values	value	NOUN
ijassa-2030	238	9	of	of	ADP
ijassa-2030	238	10	uncertainty	uncertainty	NOUN
ijassa-2030	238	11	are	be	AUX
ijassa-2030	238	12	assumed	assume	VERB
ijassa-2030	238	13	to	to	PART
ijassa-2030	238	14	be	be	AUX
ijassa-2030	238	15	polyhedra	polyhedra	VERB
ijassa-2030	238	16	.	.	PUNCT
ijassa-2030	239	1	because	because	SCONJ
ijassa-2030	239	2	of	of	ADP
ijassa-2030	239	3	these	these	DET
ijassa-2030	239	4	properties	property	NOUN
ijassa-2030	239	5	,	,	PUNCT
ijassa-2030	239	6	the	the	DET
ijassa-2030	239	7	guaranteed	guarantee	VERB
ijassa-2030	239	8	return	return	NOUN
ijassa-2030	239	9	and	and	CCONJ
ijassa-2030	239	10	risk	risk	NOUN
ijassa-2030	239	11	are	be	AUX
ijassa-2030	239	12	piecewise	piecewise	NOUN
ijassa-2030	239	13	linear	linear	NOUN
ijassa-2030	239	14	functions	function	NOUN
ijassa-2030	239	15	defined	define	VERB
ijassa-2030	239	16	on	on	ADP
ijassa-2030	239	17	the	the	DET
ijassa-2030	239	18	polyhedron	polyhedron	NOUN
ijassa-2030	239	19	of	of	ADP
ijassa-2030	239	20	strategies	strategy	NOUN
ijassa-2030	239	21	.	.	PUNCT
ijassa-2030	240	1	this	this	PRON
ijassa-2030	240	2	allowed	allow	VERB
ijassa-2030	240	3	us	we	PRON
ijassa-2030	240	4	to	to	PART
ijassa-2030	240	5	apply	apply	VERB
ijassa-2030	240	6	the	the	DET
ijassa-2030	240	7	piecewise	piecewise	NOUN
ijassa-2030	240	8	linear	linear	NOUN
ijassa-2030	240	9	programming	programming	NOUN
ijassa-2030	240	10	method	method	NOUN
ijassa-2030	240	11	and	and	CCONJ
ijassa-2030	240	12	reduce	reduce	VERB
ijassa-2030	240	13	the	the	DET
ijassa-2030	240	14	problem	problem	NOUN
ijassa-2030	240	15	of	of	ADP
ijassa-2030	240	16	finding	find	VERB
ijassa-2030	240	17	the	the	DET
ijassa-2030	240	18	optimal	optimal	ADJ
ijassa-2030	240	19	guaranteed	guarantee	VERB
ijassa-2030	240	20	risk	risk	NOUN
ijassa-2030	240	21	to	to	ADP
ijassa-2030	240	22	some	some	DET
ijassa-2030	240	23	linear	linear	ADJ
ijassa-2030	240	24	programming	programming	NOUN
ijassa-2030	240	25	problem	problem	NOUN
ijassa-2030	240	26	.	.	PUNCT
ijassa-2030	241	1	the	the	DET
ijassa-2030	241	2	obtained	obtain	VERB
ijassa-2030	241	3	results	result	NOUN
ijassa-2030	241	4	are	be	AUX
ijassa-2030	241	5	applied	apply	VERB
ijassa-2030	241	6	to	to	ADP
ijassa-2030	241	7	the	the	DET
ijassa-2030	241	8	solution	solution	NOUN
ijassa-2030	241	9	of	of	ADP
ijassa-2030	241	10	the	the	DET
ijassa-2030	241	11	problem	problem	NOUN
ijassa-2030	241	12	of	of	ADP
ijassa-2030	241	13	optimal	optimal	ADJ
ijassa-2030	241	14	allocation	allocation	NOUN
ijassa-2030	241	15	of	of	ADP
ijassa-2030	241	16	financial	financial	ADJ
ijassa-2030	241	17	resource	resource	NOUN
ijassa-2030	241	18	on	on	ADP
ijassa-2030	241	19	three	three	NUM
ijassa-2030	241	20	currency	currency	NOUN
ijassa-2030	241	21	deposits	deposit	NOUN
ijassa-2030	241	22	.	.	PUNCT
ijassa-2030	242	1	as	as	ADP
ijassa-2030	242	2	a	a	DET
ijassa-2030	242	3	rule	rule	NOUN
ijassa-2030	242	4	,	,	PUNCT
ijassa-2030	242	5	the	the	PRON
ijassa-2030	242	6	higher	high	ADJ
ijassa-2030	242	7	the	the	DET
ijassa-2030	242	8	return	return	NOUN
ijassa-2030	242	9	on	on	ADP
ijassa-2030	242	10	investment	investment	NOUN
ijassa-2030	242	11	,	,	PUNCT
ijassa-2030	242	12	the	the	PRON
ijassa-2030	242	13	higher	high	ADJ
ijassa-2030	242	14	the	the	DET
ijassa-2030	242	15	risk	risk	NOUN
ijassa-2030	242	16	.	.	PUNCT
ijassa-2030	243	1	the	the	DET
ijassa-2030	243	2	attempt	attempt	NOUN
ijassa-2030	243	3	to	to	PART
ijassa-2030	243	4	find	find	VERB
ijassa-2030	243	5	a	a	DET
ijassa-2030	243	6	compromise	compromise	NOUN
ijassa-2030	243	7	between	between	ADP
ijassa-2030	243	8	these	these	DET
ijassa-2030	243	9	two	two	NUM
ijassa-2030	243	10	indicators	indicator	NOUN
ijassa-2030	243	11	leads	lead	VERB
ijassa-2030	243	12	to	to	ADP
ijassa-2030	243	13	the	the	DET
ijassa-2030	243	14	vector	vector	NOUN
ijassa-2030	243	15	optimization	optimization	NOUN
ijassa-2030	243	16	problem	problem	NOUN
ijassa-2030	243	17	and	and	CCONJ
ijassa-2030	243	18	the	the	DET
ijassa-2030	243	19	concept	concept	NOUN
ijassa-2030	243	20	of	of	ADP
ijassa-2030	243	21	pareto	pareto	ADJ
ijassa-2030	243	22	optimality	optimality	NOUN
ijassa-2030	243	23	.	.	PUNCT
ijassa-2030	244	1	we	we	PRON
ijassa-2030	244	2	propose	propose	VERB
ijassa-2030	244	3	a	a	DET
ijassa-2030	244	4	method	method	NOUN
ijassa-2030	244	5	for	for	ADP
ijassa-2030	244	6	solving	solve	VERB
ijassa-2030	244	7	the	the	DET
ijassa-2030	244	8	two	two	NUM
ijassa-2030	244	9	-	-	PUNCT
ijassa-2030	244	10	criterion	criterion	NOUN
ijassa-2030	244	11	problem	problem	NOUN
ijassa-2030	244	12	of	of	ADP
ijassa-2030	244	13	optimal	optimal	ADJ
ijassa-2030	244	14	allocation	allocation	NOUN
ijassa-2030	244	15	of	of	ADP
ijassa-2030	244	16	financial	financial	ADJ
ijassa-2030	244	17	resource	resource	NOUN
ijassa-2030	244	18	to	to	ADP
ijassa-2030	244	19	three	three	NUM
ijassa-2030	244	20	currency	currency	NOUN
ijassa-2030	244	21	deposits	deposit	NOUN
ijassa-2030	244	22	,	,	PUNCT
ijassa-2030	244	23	which	which	PRON
ijassa-2030	244	24	uses	use	VERB
ijassa-2030	244	25	the	the	DET
ijassa-2030	244	26	parameterization	parameterization	NOUN
ijassa-2030	244	27	of	of	ADP
ijassa-2030	244	28	the	the	DET
ijassa-2030	244	29	pareto	pareto	NOUN
ijassa-2030	244	30	set	set	NOUN
ijassa-2030	244	31	by	by	ADP
ijassa-2030	244	32	the	the	DET
ijassa-2030	244	33	value	value	NOUN
ijassa-2030	244	34	of	of	ADP
ijassa-2030	244	35	the	the	DET
ijassa-2030	244	36	guaranteed	guarantee	VERB
ijassa-2030	244	37	income	income	NOUN
ijassa-2030	244	38	criterion	criterion	NOUN
ijassa-2030	244	39	.	.	PUNCT
ijassa-2030	245	1	thus	thus	ADV
ijassa-2030	245	2	,	,	PUNCT
ijassa-2030	245	3	the	the	DET
ijassa-2030	245	4	construction	construction	NOUN
ijassa-2030	245	5	of	of	ADP
ijassa-2030	245	6	a	a	DET
ijassa-2030	245	7	representative	representative	ADJ
ijassa-2030	245	8	subset	subset	NOUN
ijassa-2030	245	9	of	of	ADP
ijassa-2030	245	10	pareto	pareto	VERB
ijassa-2030	245	11	-	-	PUNCT
ijassa-2030	245	12	optimal	optimal	ADJ
ijassa-2030	245	13	solutions	solution	NOUN
ijassa-2030	245	14	is	be	AUX
ijassa-2030	245	15	reduced	reduce	VERB
ijassa-2030	245	16	to	to	ADP
ijassa-2030	245	17	solving	solve	VERB
ijassa-2030	245	18	a	a	DET
ijassa-2030	245	19	finite	finite	ADJ
ijassa-2030	245	20	number	number	NOUN
ijassa-2030	245	21	of	of	ADP
ijassa-2030	245	22	linear	linear	ADJ
ijassa-2030	245	23	programming	programming	NOUN
ijassa-2030	245	24	problems	problem	NOUN
ijassa-2030	245	25	.	.	PUNCT
ijassa-2030	246	1	the	the	DET
ijassa-2030	246	2	obtained	obtain	VERB
ijassa-2030	246	3	information	information	NOUN
ijassa-2030	246	4	,	,	PUNCT
ijassa-2030	246	5	presented	present	VERB
ijassa-2030	246	6	in	in	ADP
ijassa-2030	246	7	tabular	tabular	NOUN
ijassa-2030	246	8	and	and	CCONJ
ijassa-2030	246	9	graphical	graphical	ADJ
ijassa-2030	246	10	form	form	NOUN
ijassa-2030	246	11	,	,	PUNCT
ijassa-2030	246	12	can	can	AUX
ijassa-2030	246	13	be	be	AUX
ijassa-2030	246	14	used	use	VERB
ijassa-2030	246	15	by	by	ADP
ijassa-2030	246	16	the	the	DET
ijassa-2030	246	17	dm	dm	PROPN
ijassa-2030	246	18	along	along	ADP
ijassa-2030	246	19	with	with	ADP
ijassa-2030	246	20	other	other	ADJ
ijassa-2030	246	21	available	available	ADJ
ijassa-2030	246	22	considerations	consideration	NOUN
ijassa-2030	246	23	to	to	PART
ijassa-2030	246	24	make	make	VERB
ijassa-2030	246	25	the	the	DET
ijassa-2030	246	26	final	final	ADJ
ijassa-2030	246	27	decision	decision	NOUN
ijassa-2030	246	28	on	on	ADP
ijassa-2030	246	29	the	the	DET
ijassa-2030	246	30	allocation	allocation	NOUN
ijassa-2030	246	31	of	of	ADP
ijassa-2030	246	32	financial	financial	ADJ
ijassa-2030	246	33	resources	resource	NOUN
ijassa-2030	246	34	.	.	PUNCT
ijassa-2030	247	1	the	the	DET
ijassa-2030	247	2	results	result	NOUN
ijassa-2030	247	3	can	can	AUX
ijassa-2030	247	4	be	be	AUX
ijassa-2030	247	5	used	use	VERB
ijassa-2030	247	6	in	in	ADP
ijassa-2030	247	7	analyzing	analyze	VERB
ijassa-2030	247	8	financial	financial	ADJ
ijassa-2030	247	9	management	management	NOUN
ijassa-2030	247	10	problems	problem	NOUN
ijassa-2030	247	11	under	under	ADP
ijassa-2030	247	12	conditions	condition	NOUN
ijassa-2030	247	13	of	of	ADP
ijassa-2030	247	14	incomplete	incomplete	ADJ
ijassa-2030	247	15	information	information	NOUN
ijassa-2030	247	16	.	.	PUNCT
ijassa-2030	248	1	acknowledgements	acknowledgement	NOUN
ijassa-2030	248	2	this	this	DET
ijassa-2030	248	3	article	article	NOUN
ijassa-2030	248	4	is	be	AUX
ijassa-2030	248	5	an	an	DET
ijassa-2030	248	6	output	output	NOUN
ijassa-2030	248	7	of	of	ADP
ijassa-2030	248	8	a	a	DET
ijassa-2030	248	9	research	research	NOUN
ijassa-2030	248	10	project	project	NOUN
ijassa-2030	248	11	«	«	PUNCT
ijassa-2030	248	12	decision	decision	NOUN
ijassa-2030	248	13	-	-	PUNCT
ijassa-2030	248	14	making	making	NOUN
ijassa-2030	248	15	in	in	ADP
ijassa-2030	248	16	socio	socio	NOUN
ijassa-2030	248	17	-	-	PUNCT
ijassa-2030	248	18	economic	economic	ADJ
ijassa-2030	248	19	,	,	PUNCT
ijassa-2030	248	20	political	political	ADJ
ijassa-2030	248	21	and	and	CCONJ
ijassa-2030	248	22	financial	financial	ADJ
ijassa-2030	248	23	spheres	sphere	NOUN
ijassa-2030	248	24	»	»	PUNCT
ijassa-2030	248	25	implemented	implement	VERB
ijassa-2030	248	26	as	as	ADP
ijassa-2030	248	27	part	part	NOUN
ijassa-2030	248	28	of	of	ADP
ijassa-2030	248	29	the	the	DET
ijassa-2030	248	30	basic	basic	ADJ
ijassa-2030	248	31	research	research	NOUN
ijassa-2030	248	32	program	program	NOUN
ijassa-2030	248	33	at	at	ADP
ijassa-2030	248	34	the	the	DET
ijassa-2030	248	35	national	national	PROPN
ijassa-2030	248	36	research	research	PROPN
ijassa-2030	248	37	university	university	PROPN
ijassa-2030	248	38	higher	high	ADJ
ijassa-2030	248	39	school	school	NOUN
ijassa-2030	248	40	of	of	ADP
ijassa-2030	248	41	economics	economic	NOUN
ijassa-2030	248	42	(	(	PUNCT
ijassa-2030	248	43	hse	hse	PROPN
ijassa-2030	248	44	university	university	PROPN
ijassa-2030	248	45	)	)	PUNCT
ijassa-2030	248	46	.	.	PUNCT
ijassa-2030	249	1	the	the	DET
ijassa-2030	249	2	work	work	NOUN
ijassa-2030	249	3	was	be	AUX
ijassa-2030	249	4	partially	partially	ADV
ijassa-2030	249	5	supported	support	VERB
ijassa-2030	249	6	by	by	ADP
ijassa-2030	249	7	the	the	DET
ijassa-2030	249	8	international	international	ADJ
ijassa-2030	249	9	center	center	NOUN
ijassa-2030	249	10	of	of	ADP
ijassa-2030	249	11	decision	decision	NOUN
ijassa-2030	249	12	choice	choice	NOUN
ijassa-2030	249	13	and	and	CCONJ
ijassa-2030	249	14	analysis	analysis	NOUN
ijassa-2030	249	15	of	of	ADP
ijassa-2030	249	16	the	the	DET
ijassa-2030	249	17	national	national	PROPN
ijassa-2030	249	18	research	research	PROPN
ijassa-2030	249	19	university	university	PROPN
ijassa-2030	249	20	higher	high	ADJ
ijassa-2030	249	21	school	school	NOUN
ijassa-2030	249	22	of	of	ADP
ijassa-2030	249	23	economics	economic	NOUN
ijassa-2030	249	24	.	.	PUNCT
ijassa-2030	250	1	the	the	DET
ijassa-2030	250	2	author	author	NOUN
ijassa-2030	250	3	is	be	AUX
ijassa-2030	250	4	grateful	grateful	ADJ
ijassa-2030	250	5	to	to	ADP
ijassa-2030	250	6	the	the	DET
ijassa-2030	250	7	reviewers	reviewer	NOUN
ijassa-2030	250	8	for	for	ADP
ijassa-2030	250	9	their	their	PRON
ijassa-2030	250	10	thorough	thorough	ADJ
ijassa-2030	250	11	and	and	CCONJ
ijassa-2030	250	12	in	in	ADP
ijassa-2030	250	13	-	-	PUNCT
ijassa-2030	250	14	depth	depth	NOUN
ijassa-2030	250	15	study	study	NOUN
ijassa-2030	250	16	of	of	ADP
ijassa-2030	250	17	the	the	DET
ijassa-2030	250	18	paper	paper	NOUN
ijassa-2030	250	19	,	,	PUNCT
ijassa-2030	250	20	constructive	constructive	ADJ
ijassa-2030	250	21	comments	comment	NOUN
ijassa-2030	250	22	,	,	PUNCT
ijassa-2030	250	23	and	and	CCONJ
ijassa-2030	250	24	valuable	valuable	ADJ
ijassa-2030	250	25	suggestions	suggestion	NOUN
ijassa-2030	250	26	,	,	PUNCT
ijassa-2030	250	27	which	which	PRON
ijassa-2030	250	28	improved	improve	VERB
ijassa-2030	250	29	the	the	DET
ijassa-2030	250	30	paper	paper	NOUN
ijassa-2030	250	31	significantly	significantly	ADV
ijassa-2030	250	32	.	.	PUNCT
ijassa-2030	251	1	references	reference	NOUN
ijassa-2030	251	2	.	.	PUNCT
ijassa-2030	252	1	1	1	X
ijassa-2030	252	2	.	.	X
ijassa-2030	252	3	wald	wald	NOUN
ijassa-2030	252	4	,	,	PUNCT
ijassa-2030	252	5	a.	a.	NOUN
ijassa-2030	252	6	(	(	PUNCT
ijassa-2030	252	7	1939	1939	NUM
ijassa-2030	252	8	)	)	PUNCT
ijassa-2030	252	9	.	.	PUNCT
ijassa-2030	253	1	contribution	contribution	NOUN
ijassa-2030	253	2	to	to	ADP
ijassa-2030	253	3	the	the	DET
ijassa-2030	253	4	theory	theory	NOUN
ijassa-2030	253	5	of	of	ADP
ijassa-2030	253	6	statistical	statistical	ADJ
ijassa-2030	253	7	estimation	estimation	NOUN
ijassa-2030	253	8	and	and	CCONJ
ijassa-2030	253	9	testing	testing	NOUN
ijassa-2030	253	10	hypothesis	hypothesis	NOUN
ijassa-2030	253	11	.	.	PUNCT
ijassa-2030	254	1	annuals	annual	NOUN
ijassa-2030	254	2	math	math	NOUN
ijassa-2030	254	3	.	.	PUNCT
ijassa-2030	255	1	stat	stat	PROPN
ijassa-2030	255	2	.	.	PUNCT
ijassa-2030	255	3	,	,	PUNCT
ijassa-2030	255	4	10	10	NUM
ijassa-2030	255	5	,	,	PUNCT
ijassa-2030	255	6	299–326	299–326	NUM
ijassa-2030	255	7	.	.	NOUN
ijassa-2030	256	1	2	2	X
ijassa-2030	256	2	.	.	X
ijassa-2030	256	3	savage	savage	NOUN
ijassa-2030	256	4	l.	l.	PROPN
ijassa-2030	256	5	y.	y.	PROPN
ijassa-2030	256	6	(	(	PUNCT
ijassa-2030	256	7	1954	1954	NUM
ijassa-2030	256	8	)	)	PUNCT
ijassa-2030	256	9	.	.	PUNCT
ijassa-2030	257	1	the	the	DET
ijassa-2030	257	2	foundation	foundation	NOUN
ijassa-2030	257	3	of	of	ADP
ijassa-2030	257	4	statistics	statistic	NOUN
ijassa-2030	257	5	.	.	PUNCT
ijassa-2030	258	1	new	new	PROPN
ijassa-2030	258	2	york	york	PROPN
ijassa-2030	258	3	:	:	PUNCT
ijassa-2030	258	4	willey	willey	PROPN
ijassa-2030	258	5	.	.	PUNCT
ijassa-2030	259	1	3	3	X
ijassa-2030	259	2	.	.	X
ijassa-2030	259	3	molostvov	molostvov	PROPN
ijassa-2030	259	4	,	,	PUNCT
ijassa-2030	259	5	v.	v.	ADP
ijassa-2030	259	6	s.	s.	PROPN
ijassa-2030	259	7	(	(	PUNCT
ijassa-2030	259	8	1983	1983	NUM
ijassa-2030	259	9	)	)	PUNCT
ijassa-2030	259	10	.	.	PUNCT
ijassa-2030	260	1	multiple	multiple	ADJ
ijassa-2030	260	2	-	-	PUNCT
ijassa-2030	260	3	criteria	criterion	NOUN
ijassa-2030	260	4	optimization	optimization	NOUN
ijassa-2030	260	5	under	under	ADP
ijassa-2030	260	6	uncertainty	uncertainty	NOUN
ijassa-2030	260	7	:	:	PUNCT
ijassa-2030	260	8	concepts	concept	NOUN
ijassa-2030	260	9	of	of	ADP
ijassa-2030	260	10	optimality	optimality	NOUN
ijassa-2030	260	11	and	and	CCONJ
ijassa-2030	260	12	sufficient	sufficient	ADJ
ijassa-2030	260	13	conditions	condition	NOUN
ijassa-2030	260	14	.	.	PUNCT
ijassa-2030	261	1	in	in	ADP
ijassa-2030	261	2	:	:	PUNCT
ijassa-2030	261	3	theory	theory	NOUN
ijassa-2030	261	4	and	and	CCONJ
ijassa-2030	261	5	practice	practice	NOUN
ijassa-2030	261	6	of	of	ADP
ijassa-2030	261	7	multiple	multiple	ADJ
ijassa-2030	261	8	criteria	criterion	NOUN
ijassa-2030	261	9	decision	decision	NOUN
ijassa-2030	261	10	making	making	NOUN
ijassa-2030	261	11	,	,	PUNCT
ijassa-2030	261	12	north	north	NOUN
ijassa-2030	261	13	-	-	PUNCT
ijassa-2030	261	14	holland	holland	PROPN
ijassa-2030	261	15	,	,	PUNCT
ijassa-2030	261	16	91–105	91–105	NUM
ijassa-2030	261	17	.	.	NOUN
ijassa-2030	261	18	4	4	NUM
ijassa-2030	261	19	.	.	X
ijassa-2030	261	20	molostvov	molostvov	PROPN
ijassa-2030	261	21	,	,	PUNCT
ijassa-2030	261	22	v.	v.	ADP
ijassa-2030	261	23	s.	s.	PROPN
ijassa-2030	261	24	(	(	PUNCT
ijassa-2030	261	25	2011	2011	NUM
ijassa-2030	261	26	)	)	PUNCT
ijassa-2030	261	27	.	.	PUNCT
ijassa-2030	262	1	multiple	multiple	ADJ
ijassa-2030	262	2	criteria	criterion	NOUN
ijassa-2030	262	3	optimization	optimization	NOUN
ijassa-2030	262	4	for	for	ADP
ijassa-2030	262	5	stochastic	stochastic	ADJ
ijassa-2030	262	6	systems	system	NOUN
ijassa-2030	262	7	with	with	ADP
ijassa-2030	262	8	uncertain	uncertain	ADJ
ijassa-2030	262	9	parameters	parameter	NOUN
ijassa-2030	262	10	.	.	PUNCT
ijassa-2030	263	1	model	model	PROPN
ijassa-2030	263	2	assist	assist	PROPN
ijassa-2030	263	3	.	.	PUNCT
ijassa-2030	264	1	stat	stat	PROPN
ijassa-2030	264	2	.	.	PUNCT
ijassa-2030	265	1	and	and	CCONJ
ijassa-2030	265	2	appl	appl	PROPN
ijassa-2030	265	3	.	.	PUNCT
ijassa-2030	266	1	3	3	NUM
ijassa-2030	266	2	,	,	PUNCT
ijassa-2030	266	3	231–237	231–237	NUM
ijassa-2030	266	4	.	.	PUNCT
ijassa-2030	266	5	11	11	NUM
ijassa-2030	266	6	optimization	optimization	NOUN
ijassa-2030	266	7	of	of	ADP
ijassa-2030	266	8	deposit	deposit	NOUN
ijassa-2030	266	9	structure	structure	NOUN
ijassa-2030	266	10	by	by	ADP
ijassa-2030	266	11	income	income	NOUN
ijassa-2030	266	12	and	and	CCONJ
ijassa-2030	266	13	risk	risk	NOUN
ijassa-2030	266	14	under	under	ADP
ijassa-2030	266	15	uncertainty	uncertainty	NOUN
ijassa-2030	266	16	copyright	copyright	NOUN
ijassa-2030	266	17	©	©	PROPN
ijassa-2030	266	18	2025	2025	NUM
ijassa-2030	266	19	assa	assa	PROPN
ijassa-2030	266	20	adv	adv	PROPN
ijassa-2030	266	21	.	.	PUNCT
ijassa-2030	267	1	in	in	ADP
ijassa-2030	267	2	systems	system	NOUN
ijassa-2030	267	3	science	science	NOUN
ijassa-2030	267	4	and	and	CCONJ
ijassa-2030	267	5	appl	appl	NOUN
ijassa-2030	267	6	.	.	PUNCT
ijassa-2030	268	1	(	(	PUNCT
ijassa-2030	268	2	2025	2025	NUM
ijassa-2030	268	3	)	)	PUNCT
ijassa-2030	268	4	5	5	NUM
ijassa-2030	268	5	.	.	PUNCT
ijassa-2030	268	6	molostvov	molostvov	PROPN
ijassa-2030	268	7	,	,	PUNCT
ijassa-2030	268	8	v.	v.	ADP
ijassa-2030	268	9	s.	s.	PROPN
ijassa-2030	268	10	(	(	PUNCT
ijassa-2030	268	11	2022	2022	NUM
ijassa-2030	268	12	)	)	PUNCT
ijassa-2030	268	13	.	.	PUNCT
ijassa-2030	269	1	three	three	NUM
ijassa-2030	269	2	-	-	PUNCT
ijassa-2030	269	3	currency	currency	NOUN
ijassa-2030	269	4	deposit	deposit	NOUN
ijassa-2030	269	5	diversification	diversification	NOUN
ijassa-2030	269	6	:	:	PUNCT
ijassa-2030	269	7	savage	savage	NOUN
ijassa-2030	269	8	's	's	PART
ijassa-2030	269	9	principle	principle	ADJ
ijassa-2030	269	10	approach	approach	NOUN
ijassa-2030	269	11	.	.	PUNCT
ijassa-2030	270	1	adv	adv	PROPN
ijassa-2030	270	2	.	.	PUNCT
ijassa-2030	271	1	in	in	ADP
ijassa-2030	271	2	syst	syst	PROPN
ijassa-2030	271	3	.	.	PUNCT
ijassa-2030	271	4	scie	scie	PROPN
ijassa-2030	271	5	.	.	PUNCT
ijassa-2030	272	1	and	and	CCONJ
ijassa-2030	272	2	appl	appl	PROPN
ijassa-2030	272	3	.	.	PUNCT
ijassa-2030	273	1	22(3	22(3	NUM
ijassa-2030	273	2	)	)	PUNCT
ijassa-2030	273	3	,	,	PUNCT
ijassa-2030	274	1	135–146	135–146	NUM
ijassa-2030	274	2	.	.	PUNCT
ijassa-2030	274	3	doi	doi	NOUN
ijassa-2030	274	4	:	:	PUNCT
ijassa-2030	274	5	10.25728	10.25728	NUM
ijassa-2030	274	6	/	/	SYM
ijassa-2030	274	7	assa.2022.22.3.1279	assa.2022.22.3.1279	PROPN
ijassa-2030	274	8	.	.	PUNCT
ijassa-2030	275	1	6	6	NUM
ijassa-2030	275	2	.	.	X
ijassa-2030	275	3	molostvov	molostvov	PROPN
ijassa-2030	275	4	,	,	PUNCT
ijassa-2030	275	5	v.	v.	ADP
ijassa-2030	275	6	s.	s.	PROPN
ijassa-2030	275	7	(	(	PUNCT
ijassa-2030	275	8	2024	2024	NUM
ijassa-2030	275	9	)	)	PUNCT
ijassa-2030	275	10	.	.	PUNCT
ijassa-2030	276	1	savage	savage	NOUN
ijassa-2030	276	2	's	's	PART
ijassa-2030	276	3	solution	solution	NOUN
ijassa-2030	276	4	to	to	ADP
ijassa-2030	276	5	the	the	DET
ijassa-2030	276	6	problem	problem	NOUN
ijassa-2030	276	7	of	of	ADP
ijassa-2030	276	8	three	three	NUM
ijassa-2030	276	9	-	-	PUNCT
ijassa-2030	276	10	currency	currency	NOUN
ijassa-2030	276	11	deposit	deposit	NOUN
ijassa-2030	276	12	diversification	diversification	NOUN
ijassa-2030	276	13	:	:	PUNCT
ijassa-2030	276	14	program	program	NOUN
ijassa-2030	276	15	tools	tool	NOUN
ijassa-2030	276	16	and	and	CCONJ
ijassa-2030	276	17	modeling	modeling	NOUN
ijassa-2030	276	18	results	result	NOUN
ijassa-2030	276	19	.	.	PUNCT
ijassa-2030	277	1	adv	adv	INTJ
ijassa-2030	277	2	.	.	PUNCT
ijassa-2030	278	1	in	in	ADP
ijassa-2030	278	2	syst	syst	PROPN
ijassa-2030	278	3	.	.	PUNCT
ijassa-2030	278	4	scie	scie	PROPN
ijassa-2030	278	5	.	.	PUNCT
ijassa-2030	279	1	and	and	CCONJ
ijassa-2030	279	2	appl	appl	PROPN
ijassa-2030	279	3	.	.	PUNCT
ijassa-2030	280	1	24(2	24(2	NUM
ijassa-2030	280	2	)	)	PUNCT
ijassa-2030	280	3	,	,	PUNCT
ijassa-2030	280	4	103–115	103–115	NUM
ijassa-2030	280	5	.	.	PUNCT
ijassa-2030	281	1	doi	doi	NOUN
ijassa-2030	281	2	:	:	PUNCT
ijassa-2030	281	3	10.25728	10.25728	NUM
ijassa-2030	281	4	/	/	SYM
ijassa-2030	281	5	assa.2024.2024.02.1590	assa.2024.2024.02.1590	NOUN
ijassa-2030	281	6	.	.	PROPN
ijassa-2030	281	7	7	7	NUM
ijassa-2030	281	8	.	.	X
ijassa-2030	282	1	podinovsky	podinovsky	NOUN
ijassa-2030	282	2	,	,	PUNCT
ijassa-2030	282	3	v.	v.	PROPN
ijassa-2030	282	4	v.	v.	PROPN
ijassa-2030	282	5	&	&	CCONJ
ijassa-2030	282	6	nogin	nogin	PROPN
ijassa-2030	282	7	,	,	PUNCT
ijassa-2030	282	8	v.	v.	PROPN
ijassa-2030	282	9	d.	d.	PROPN
ijassa-2030	282	10	(	(	PUNCT
ijassa-2030	282	11	2007	2007	NUM
ijassa-2030	282	12	)	)	PUNCT
ijassa-2030	282	13	.	.	PUNCT
ijassa-2030	283	1	pareto	pareto	VERB
ijassa-2030	283	2	-	-	PUNCT
ijassa-2030	283	3	optimal`ny`e	optimal`ny`e	NOUN
ijassa-2030	283	4	resheniia	resheniia	VERB
ijassa-2030	283	5	mnogokriterial`ny`kh	mnogokriterial`ny`kh	NOUN
ijassa-2030	283	6	zadach	zadach	NOUN
ijassa-2030	283	7	.	.	PUNCT
ijassa-2030	284	1	[	[	X
ijassa-2030	284	2	pareto	pareto	VERB
ijassa-2030	284	3	-	-	PUNCT
ijassa-2030	284	4	optimal	optimal	ADJ
ijassa-2030	284	5	solutions	solution	NOUN
ijassa-2030	284	6	of	of	ADP
ijassa-2030	284	7	multicriteria	multicriteria	PROPN
ijassa-2030	284	8	problems	problem	NOUN
ijassa-2030	284	9	]	]	PUNCT
ijassa-2030	284	10	.	.	PUNCT
ijassa-2030	285	1	moscow	moscow	PROPN
ijassa-2030	285	2	,	,	PUNCT
ijassa-2030	285	3	russia	russia	PROPN
ijassa-2030	285	4	:	:	PUNCT
ijassa-2030	285	5	fizmatlit	fizmatlit	ADJ
ijassa-2030	285	6	,	,	PUNCT
ijassa-2030	285	7	[	[	X
ijassa-2030	285	8	in	in	ADP
ijassa-2030	285	9	russian	russian	PROPN
ijassa-2030	285	10	]	]	PUNCT
ijassa-2030	285	11	.	.	PUNCT
ijassa-2030	286	1	8	8	X
ijassa-2030	286	2	.	.	X
ijassa-2030	287	1	steuer	steuer	PROPN
ijassa-2030	287	2	,	,	PUNCT
ijassa-2030	287	3	r.	r.	PROPN
ijassa-2030	287	4	(	(	PUNCT
ijassa-2030	287	5	1986	1986	NUM
ijassa-2030	287	6	)	)	PUNCT
ijassa-2030	287	7	.	.	PUNCT
ijassa-2030	288	1	multiple	multiple	ADJ
ijassa-2030	288	2	criteria	criterion	NOUN
ijassa-2030	288	3	optimization	optimization	NOUN
ijassa-2030	288	4	:	:	PUNCT
ijassa-2030	288	5	theory	theory	NOUN
ijassa-2030	288	6	,	,	PUNCT
ijassa-2030	288	7	computation	computation	NOUN
ijassa-2030	288	8	,	,	PUNCT
ijassa-2030	288	9	and	and	CCONJ
ijassa-2030	288	10	application	application	NOUN
ijassa-2030	288	11	.	.	PUNCT
ijassa-2030	289	1	new	new	PROPN
ijassa-2030	289	2	york	york	PROPN
ijassa-2030	289	3	:	:	PUNCT
ijassa-2030	289	4	willey	willey	NOUN
ijassa-2030	289	5	9	9	NUM
ijassa-2030	289	6	.	.	PUNCT
ijassa-2030	290	1	dem'yanov	dem'yanov	NOUN
ijassa-2030	290	2	,	,	PUNCT
ijassa-2030	290	3	v.	v.	PROPN
ijassa-2030	290	4	f.	f.	PROPN
ijassa-2030	290	5	,	,	PUNCT
ijassa-2030	290	6	malozemov	malozemov	PROPN
ijassa-2030	290	7	,	,	PUNCT
ijassa-2030	290	8	v.n	v.n	PROPN
ijassa-2030	290	9	.	.	PUNCT
ijassa-2030	290	10	(	(	PUNCT
ijassa-2030	290	11	1990	1990	NUM
ijassa-2030	290	12	)	)	PUNCT
ijassa-2030	290	13	.	.	PUNCT
ijassa-2030	291	1	introduction	introduction	NOUN
ijassa-2030	291	2	to	to	ADP
ijassa-2030	291	3	minimax	minimax	NOUN
ijassa-2030	291	4	.	.	PUNCT
ijassa-2030	292	1	new	new	PROPN
ijassa-2030	292	2	york	york	PROPN
ijassa-2030	292	3	:	:	PUNCT
ijassa-2030	292	4	dover	dover	PROPN
ijassa-2030	292	5	.	.	PUNCT