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论文类型：期刊论文
发表时间：2003-01-01
发表刊物：Journal of Applied Mathematics and Computing
收录刊物：Scopus
卷号：13
期号：1-2
页面范围：139-152
ISSN号：15985865
摘要：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.