ON WEAK MINIMAL SOLUTIONS OF SET VALUED OPTIMIZATION PROBLEMS AND COMPARISON OF SOME SET ORDER RELATIONS

Year 2023, Volume: 11 Issue: 1, 60 - 69, 28.02.2023

İlknur Atasever Güvenç

https://doi.org/10.20290/estubtdb.1241960

Cited By: 1

Abstract

In this work, some set order relations are compared with each other. In addition, it is shown that every weak minimal solution of a set valued optimization problem with respect to vector optimization criterion, is also a weak minimal solution with respect to set optimization criterion considering some special set orders.

Keywords

Set order relation, Weak minimal element, Set optimization criterion, Vector optimization criterion

Project Number

22ADP047

KÜME DEĞERLİ OPTİMİZASYON PROBLEMLERİNİN ZAYIF MİNİMAL ÇÖZÜMLERİ VE BAZI KÜME SIRALAMALARININ KARŞILAŞTIRILMASI ÜZERİNE

Abstract

Bu çalışmada, bazı küme sıralamaları karşılaştırılmıştır. Ek olarak bir küme değerli optimizasyon probleminin vektör optimizasyon yaklaşımına göre bir zayıf çözümünün bazı küme sıralamalarına göre belirlenen küme optimizasyonu yaklaşımına göre de bir zayıf minimal çözüm olduğu gösterilmiştir.

Keywords

Küme sıralama bağıntısı, zayıf minimal eleman, Küme optimizasyon kriteri, vektör optimizasyon kriteri

Supporting Institution

Eskişehir Teknik Üniversitesi

Project Number

22ADP047

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