A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures
OPERATIONS RESEARCH LETTERS, cilt.45, sa.1, ss.93-97, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 1
- Basım Tarihi: 2017
- Doi Numarası: 10.1016/j.orl.2016.12.009
- Dergi Adı: OPERATIONS RESEARCH LETTERS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.93-97
- Anahtar Kelimeler: Multiobjective optimization, epsilon-Efficiency, Variable ordering structures, Scalarization, PROPERLY OPTIMAL ELEMENTS, SEPARATION
- Anadolu Üniversitesi Adresli: Evet
Özet
This paper investigates some properties of approximate efficiency in variable ordering structures where the variable ordering structure is given by a special set valued map. We characterize epsilon-minimal and epsilon- nondominated elements as approximate solutions of a multiobjective optimization problem with a variable ordering structure and give necessary and sufficient conditions for these solutions, via scalarization. (C) 2016 Elsevier B.V. All rights reserved.