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具有Fuzzy控制锥的多准则决策的Fuzzy真有效解

PROPEKLY EFFICIENT SOLUTIONS IN MULTIPLE CRITERIA DECISON PROBLEMS WITH FUZZY DOMINATION CONES
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摘要 本文讨论具有Fuzzy控制锥的多准则决策中的真有效性。引进了Fuzzy真有效点(解)集的概念,讨论了Fuzzy真有效点集与Fuzzy有效点集的关系,得到了α-Fuzzy真有效点的必要、充分条件。 In this paper,the proper efficiency in multiple criteria decision problems with fuzzydomination cones is discussed.First,we indroduced the conceptes on the fuzzy set of properlyefficient points and the fuzzy set of properly efficient solutions.Then,we discussed the relationbetween the fuzzy set of properly efficient points and the fuzzy set of efficient points, derivednecessary conditions and suffcient conditions for α fuzzy ptoperly efficient points.
作者 辜介田
出处 《南昌大学学报(理科版)》 CAS 1994年第1期12-20,共9页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金 江西省自然科学基金
关键词 模糊控制锥 多准则决策 fuzzy domination cone,fuzzy properly efficient sets,α Fuzzy properly efficicntpoint ,fuzzy projective Cone,fuzzy strict polar cone.
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  • 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
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  • 5P. 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

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