The gap function of a convex multicriteria optimization problem

G. Y. Chen; C. J. Goh; Xiaoqi Yang

doi:10.1016/S0377-2217(97)00300-7

The gap function of a convex multicriteria optimization problem

G. Y. Chen, C. J. Goh, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

12 Citations (Scopus)

Abstract

We generalize the concept of a gap function previously defined for a convex (scalar) optimization problem to a convex multicriteria optimization problem and study its various properties.

Original language	English
Pages (from-to)	142-151
Number of pages	10
Journal	European Journal of Operational Research
Volume	111
Issue number	1
DOIs	https://doi.org/10.1016/S0377-2217(97)00300-7
Publication status	Published - 16 Nov 1998
Externally published	Yes

Keywords

Cone-convexity of set-valued functions
Gap function
Multicriteria optimization
Wolfe dual

ASJC Scopus subject areas

Modelling and Simulation
Management Science and Operations Research
Information Systems and Management

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10.1016/S0377-2217(97)00300-7

Cite this

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title = "The gap function of a convex multicriteria optimization problem",

abstract = "We generalize the concept of a gap function previously defined for a convex (scalar) optimization problem to a convex multicriteria optimization problem and study its various properties.",

keywords = "Cone-convexity of set-valued functions, Gap function, Multicriteria optimization, Wolfe dual",

author = "Chen, {G. Y.} and Goh, {C. J.} and Xiaoqi Yang",

year = "1998",

month = nov,

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doi = "10.1016/S0377-2217(97)00300-7",

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T1 - The gap function of a convex multicriteria optimization problem

AU - Chen, G. Y.

AU - Goh, C. J.

AU - Yang, Xiaoqi

PY - 1998/11/16

Y1 - 1998/11/16

N2 - We generalize the concept of a gap function previously defined for a convex (scalar) optimization problem to a convex multicriteria optimization problem and study its various properties.

AB - We generalize the concept of a gap function previously defined for a convex (scalar) optimization problem to a convex multicriteria optimization problem and study its various properties.

KW - Cone-convexity of set-valued functions

KW - Gap function

KW - Multicriteria optimization

KW - Wolfe dual

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U2 - 10.1016/S0377-2217(97)00300-7

DO - 10.1016/S0377-2217(97)00300-7

M3 - Journal article

SN - 0377-2217

VL - 111

SP - 142

EP - 151

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 1

ER -

The gap function of a convex multicriteria optimization problem

Abstract

Keywords

ASJC Scopus subject areas

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