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Vector Minimization of Upper Robust Mappings
引用本文:SHUZHONG SHI QUAN ZHENG. Vector Minimization of Upper Robust Mappings[J]. 运筹学学报, 1997, 0(2)
作者姓名:SHUZHONG SHI QUAN ZHENG
摘    要:1.IntroductionLetXbeatopologicalspaceandf=(f',f',...):X-Reamapping.Inthispaper,weconsiderthevectoroptimizationproblemswithrespecttothepartialorderinginducedb}'thenonnegativeorthantoftheproductspaceRe.Apointx6Xissaidtobeaegcientsolutionornondominatedsoluti…


Vector Minimization of Upper Robust Mappings
SHUZHONG SHI QUAN ZHENG. Vector Minimization of Upper Robust Mappings[J]. OR Transactions, 1997, 0(2)
Authors:SHUZHONG SHI QUAN ZHENG
Affiliation:SHUZHONG SHI QUAN ZHENG
Abstract:In this research, we study upper robust mappings from a topological space to RNand vector minimization of those mapping. Under some general assumptions, optimalityconditions are established for several scalarization techniques. These optimality conditions are applied to design integral algorithms for finding the solution set of a vectoroptimization problem.
Keywords:robust set   robust function   upper robust mapping   vector minimization   efficient solution   optimality condition
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