Hits:

Date:2019-03-11

Indexed by:Journal Article

Date of Publication:2003-01-01

Journal:Journal of Applied Mathematics and Computing

Included Journals:Scopus

Volume:13

Issue:1-2

Page Number:139-152

ISSN:15985865

Abstract:In this paper, we characterize a vector-valued convex set function by its epigraph. The concepts of a vector-valued set function and a vector-valued concave set function are given respectively. The definitions of the conjugate functions for a vector-valued convex set function and a vector-valued concave set function are introduced. Then a Fenchel duality theorem in multiobjective programming problem with set functions is derived.