Some results about nondominated solutions

JW Nieuwenhuis

doi:10.1007/BF00933835

Some results about nondominated solutions

JW Nieuwenhuis ^*

^*Corresponding author for this work

Research output: Contribution to journal › Comment/Letter to the editor › Academic › peer-review

7 Citations (Scopus)

Abstract

We will prove that, in the case where all the domination cones are closed and convex, have a nonempty interior, and are totally ordered with respect to inclusion, the set of weakly nondominated outcomes of a nonempty convex compact setY ⊆
R n is connected. Further, we give a relationship between weakly nondominated and nondominated solutions.

Original language	English
Pages (from-to)	289-301
Number of pages	13
Journal	Journal of optimization theory and applications
Volume	36
Issue number	2
DOIs	https://doi.org/10.1007/BF00933835
Publication status	Published - 1982

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title = "Some results about nondominated solutions",

abstract = "We will prove that, in the case where all the domination cones are closed and convex, have a nonempty interior, and are totally ordered with respect to inclusion, the set of weakly nondominated outcomes of a nonempty convex compact setY ⊆ R n is connected. Further, we give a relationship between weakly nondominated and nondominated solutions.",

author = "JW Nieuwenhuis",

year = "1982",

doi = "10.1007/BF00933835",

language = "English",

volume = "36",

pages = "289--301",

journal = "Journal of optimization theory and applications",

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T1 - Some results about nondominated solutions

AU - Nieuwenhuis , JW

PY - 1982

Y1 - 1982

N2 - We will prove that, in the case where all the domination cones are closed and convex, have a nonempty interior, and are totally ordered with respect to inclusion, the set of weakly nondominated outcomes of a nonempty convex compact setY ⊆ R n is connected. Further, we give a relationship between weakly nondominated and nondominated solutions.

AB - We will prove that, in the case where all the domination cones are closed and convex, have a nonempty interior, and are totally ordered with respect to inclusion, the set of weakly nondominated outcomes of a nonempty convex compact setY ⊆ R n is connected. Further, we give a relationship between weakly nondominated and nondominated solutions.

U2 - 10.1007/BF00933835

DO - 10.1007/BF00933835

M3 - Comment/Letter to the editor

SN - 0022-3239

VL - 36

SP - 289

EP - 301

JO - Journal of optimization theory and applications

JF - Journal of optimization theory and applications

IS - 2

ER -

Some results about nondominated solutions

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