A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Publication Council
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, interval-valued optimization problems are considered. The ordering cone is used to generalize the interval-valued optimization problems on real topological vector spaces. Some definitions and their properties are obtained for intervals, defined via an ordering cone. Gerstewitz's function is used to derive scalarization for the interval-valued optimization problems. Also, two subdifferentials for interval-valued functions are introduced by using subgradients. Some necessary optimality conditions are obtained via subdifferentials and scalarization. An example is given to demonstrate the results.
Açıklama
Anahtar Kelimeler
Interval-valued optimization problem, optimality condition, ordering cone, scalarization, subdifferential
Kaynak
Kuwait Journal of Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
48
Sayı
2
