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

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

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

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