Some results about nondominated solutions

JW Nieuwenhuis

doi:10.1007/BF00933835

Some results about nondominated solutions

JW Nieuwenhuis ^*

^*Corresponding author voor dit werk

Onderzoeksoutput › Academic › peer review

7 Citaten (Scopus)

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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.

Originele taal-2	English
Pagina's (van-tot)	289-301
Aantal pagina's	13
Tijdschrift	Journal of optimization theory and applications
Volume	36
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1007/BF00933835
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",

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AU - Nieuwenhuis , JW

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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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