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Vector Minimization of Upper Robust Mappings
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(2).
Authors:SHUZHONG SHI QUAN ZHENG
Institution: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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