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Gömme Fonksiyonu Kullanılarak Küme Optimizasyonuna Göre Verilen Küme Değerli Optimizasyon Problemlerinin Optimallik Koşulları.

Authors :
KARAMAN, Emrah
Source :
Suleyman Demirel University Faculty of Arts & Science Journal of Science / Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi. 2019, Vol. 14 Issue 1, p105-111. 7p.
Publication Year :
2019

Abstract

In this current study, set-valued optimization problem is considered. There are some criteria to obtain solutions of this set-valued optimization problem. The two most commonly used criteria are set and vector approaches in the literature. In this work, we investigated the solutions of set-valued optimization problems with respect to set approach. Many methods such as scalarization, vectorization and directional derivative are used to find the optimality conditions of set-valued optimization problems with respect to set approach. Apart from these methods, we used embedding function to obtain optimality conditions in this study. An embedding space is used in order to obtain optimality conditions by using embedding function. Some properties of this space and embedding function are studied. Moreover, an example is given to understand more better of the study. [ABSTRACT FROM AUTHOR]

Details

Language :
Turkish
ISSN :
13067575
Volume :
14
Issue :
1
Database :
Academic Search Index
Journal :
Suleyman Demirel University Faculty of Arts & Science Journal of Science / Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
Publication Type :
Academic Journal
Accession number :
136756299
Full Text :
https://doi.org/10.29233/sdufeffd.481206