Coradiant sets and -efficiency in multiobjective optimization

Sayadi-bander A., Pourkarimi L., KASIMBEYLİ R., Basirzadeh H.

JOURNAL OF GLOBAL OPTIMIZATION, cilt.68, sa.3, ss.587-600, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10898-016-0495-4
  • Dergi Adı: JOURNAL OF GLOBAL OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.587-600
  • Anahtar Kelimeler: Multiobjective optimization, Efficiency, epsilon-Efficiency, Bishop and Phelps coradiant set, Scalarization, EPSILON-DUALITY THEOREM, SADDLE-POINT THEOREMS, APPROXIMATE SOLUTIONS
  • Anadolu Üniversitesi Adresli: Evet

Özet

This paper studies -efficiency in multiobjective optimization by using the so-called coradiant sets. Motivated by the nonlinear separation property for cones, a similar separation property for coradiant sets is investigated. A new notion, called Bishop-Phelps coradiant set is introduced and some appropriate properties of this set are studied. This paper also introduces the notions of -dual and augmented -dual for Bishop and Phelps coradiant sets. Using these notions, some scalarization and characterization properties for -efficient and proper -efficient points are proposed.