Vector Optimization problems, via improvement sets

Fausto Mignanego; M. Chicco; L. Pusillo; S. Tijs

doi:10.1007/s10957-011-9851-1

Vector Optimization problems, via improvement sets

Fausto Mignanego, M. Chicco, L. Pusillo, S. Tijs

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

50 Citazioni (Scopus)

Abstract

Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.

Lingua originale	English
pagine (da-a)	610-630
Numero di pagine	21
Rivista	Journal of Optimization Theory and Applications
Volume	vol 150
DOI	https://doi.org/10.1007/s10957-011-9851-1
Stato di pubblicazione	Pubblicato - 2011

Keywords

Pareto equilibria
improvement sets
vector optimization

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10.1007/s10957-011-9851-1

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title = "Vector Optimization problems, via improvement sets",

abstract = "Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.",

keywords = "Pareto equilibria, improvement sets, vector optimization, Pareto equilibria, improvement sets, vector optimization",

author = "Fausto Mignanego and M. Chicco and L. Pusillo and S. Tijs",

year = "2011",

doi = "10.1007/s10957-011-9851-1",

language = "English",

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journal = "Journal of Optimization Theory and Applications",

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T1 - Vector Optimization problems, via improvement sets

AU - Mignanego, Fausto

AU - Chicco, M.

AU - Pusillo, L.

AU - Tijs, S.

PY - 2011

Y1 - 2011

N2 - Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.

AB - Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.

KW - Pareto equilibria

KW - improvement sets

KW - vector optimization

KW - Pareto equilibria

KW - improvement sets

KW - vector optimization

UR - http://hdl.handle.net/10807/31740

U2 - 10.1007/s10957-011-9851-1

DO - 10.1007/s10957-011-9851-1

M3 - Article

SN - 0022-3239

VL - vol 150

SP - 610

EP - 630

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

ER -

Vector Optimization problems, via improvement sets

Abstract

Keywords

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