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一般化两人零和模糊对策的模糊规划法
引用本文:高璟,张强.一般化两人零和模糊对策的模糊规划法[J].运筹与管理,2010,19(1):30-36.
作者姓名:高璟  张强
作者单位:1. 北京理工大学管理与经济学院,北京,100081;上海应用技术学院数理教学部,上海,200235
2. 北京理工大学管理与经济学院,北京,100081
基金项目:国家自然科学基金资助项目,985工程二期资助项目 
摘    要:本文在充分考虑局中人的策略集是模糊子集的基础上,给出更一般化的具有模糊支付与模糊赢得的两人零和模糊对策的模糊规划模型。利用模糊数的序方法,得到了此对策求解问题可以转化为带有模糊参数的两个经典规划的求解问题。文末给出算例予以说明。

关 键 词:管理科学与工程  两人零和模糊对策  模糊规划  模糊策略  模糊支付

Fuzzy Programming for Generalized Two-person Zero-sum Games with Fuzzy Strategies and Fuzzy Payoffs
GAO Jing,ZHANG Qiang.Fuzzy Programming for Generalized Two-person Zero-sum Games with Fuzzy Strategies and Fuzzy Payoffs[J].Operations Research and Management Science,2010,19(1):30-36.
Authors:GAO Jing  ZHANG Qiang
Affiliation:GAO Jing1,2,ZHANG Qiang1(1.School of Management , Economics,Beijing Institute of Technology,Beijing 100081,China,2.Department of Mathematics , Physics Education,Shanghai Institute of Technology,Shanghai 200235,China)
Abstract:In this paper,fuzzy programming for generalized two-person zero-sum games with fuzzy strategies and fuzzy payoffs is presented.Furthermore,based on a ranking function approach,two crisp programming problems with fuzzy parameters are introduced to solve two-person zero-sum games with fuzzy strategies and fuzzy payoffs.Finally,a numerical example is given to illustrate the approach.
Keywords:management science and engineering  two-person zero-sum fuzzy games  fuzzy programming  fuzzy strategies  fuzzy payoffs
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