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关于具有Fuzzy约束的Fuzzy多目标规划非控解的存在性 被引量:8

On Existence of Nondominated Solutions in Fuzzy Multiobjective Programming with Fuzzy Constraint Sets
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摘要 本文对具有Fuzzy约束集的Fuzzy多目标规划引进Fuzzy非控点和Fuzzy非控解的概念,讨论了它们的一些基本性质和存在性。 In this paper,the concepts of fuzzy nondominated points and fuzzy nondominated solutions about fuzzy multiob jective programming with fuzzy constraint sets are introduced,and some of the fundamental properties and their existence are discussed.
作者 辜介田
机构地区 南昌大学数学系
出处 《应用数学》 CSCD 北大核心 1994年第2期162-168,共7页 Mathematica Applicata
基金 国家自然科学基金 江西省自然科学基金
关键词 多目标规划 模糊约束 非控解 Fuzzy Multiobjective programming Fuzzy objective space t Fuzzy decision space Fuzzy nondominated points Fuzzy nondominated solutions
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参考文献4

  • 1辜介田.Fuzzy集的退化锥和关于闭性的几个充分条件[J].南昌大学学报(理科版),1993,17(4):1-8. 被引量:3
  • 2M. I. Henig. Proper efficiency with respect to cones[J] 1982,Journal of Optimization Theory and Applications(3):387~407
  • 3H. W. Corley. An existence result for maximizations with respect to cones[J] 1980,Journal of Optimization Theory and Applications(2):277~281
  • 4P. L. Yu. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives[J] 1974,Journal of Optimization Theory and Applications(3):319~377

二级参考文献1

  • 1M. I. Henig. Proper efficiency with respect to cones[J] 1982,Journal of Optimization Theory and Applications(3):387~407

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