A New Pre-Order Relation for Set Optimization using l-difference

Authors : Emrah KARAMAN

Pages : 163-170

Doi:10.33434/cams.956796

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Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :A new relation on the subset of the space is defined via l-difference in this work. This is a pre-order relation on the family of nonempty sets. Some relations between this pre-order relation and well-known order relations are investigated. Also, solution points of a set-valued optimization problem via set and vector approaches are examined.
Keywords : Pre order relation, Set optimization, Vector approach