Yazar "Karaman, Emrah" için Matematik Bölümü listeleme
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Partial order relations on family of sets and scalarizations for set optimization
Karaman, Emrah; Soyertem, Mustafa; Güvenc, İlknur Atasever; Tozkan, Didem; Küçük, Mahide; Küçük, Yalçın (Springer, 2018)In this study, some new order relations on family of sets are introduced by using Minkowski difference. The relations between these orders and the ordering cone of the vector space are obtained. It is shown that depending ... -
A vectorization for nonconvex set-valued optimization
Karaman, Emrah; Atasever Güvenc, İlknur; Soyertem, Mustafa; Tozkan, Didem; Küçük, Mahide; Küçük, Yalçın (Scientific Technical Research Council Turkey-Tubitak, 2018)Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of the Gerstewitz function, a vectorizing function is defined to replace ...