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Decision making with fuzzy probability assessments and fuzzy payoff 被引量：1

Decision making with fuzzy probability assessments and fuzzy payoff
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摘要 A novel method for decision making with fuzzy probability assessments and fuzzy payoff is presented. The consistency of the fuzzy probability assessment is considered. A fuzzy aggregate algorithm is used to indicate the fuzzy expected payoff of alternatives. The level sets of each fuzzy expected payoff are then obtained by solving linear programming models. Based on a defuzzification function associated with the level sets of fuzzy number and a numerical integration formula (Newton-Cotes formula), an effective approach to rank the fuzzy expected payoff of alternatives is also developed to determine the best alternative. Finally, a numerical example is provided to illustrate the proposed method. A novel method for decision making with fuzzy probability assessments and fuzzy payoff is presented. The consistency of the fuzzy probability assessment is considered. A fuzzy aggregate algorithm is used to indicate the fuzzy expected payoff of alternatives. The level sets of each fuzzy expected payoff are then obtained by solving linear programming models. Based on a defuzzification function associated with the level sets of fuzzy number and a numerical integration formula (Newton-Cotes formula), an effective approach to rank the fuzzy expected payoff of alternatives is also developed to determine the best alternative. Finally, a numerical example is provided to illustrate the proposed method.
作者 SongYexin YinDi ChenMianyun
机构地区 DepartmentofBasicCourses CollegeofInformationandElectricalEngineering DepartmentofControlScienceandEngineering
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第1期69-73,共5页 系统工程与电子技术（英文版）
基金 ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(79970025).
关键词 decision making fuzzy probabilities fuzzy payoff linear programming numerical integration. decision making, fuzzy probabilities, fuzzy payoff, linear programming, numerical integration.
分类号 C934 [经济管理—管理学]
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参考文献12

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同被引文献7

  • 1Wang M, Hipel K W, Frase N M. Solution concepts in hypergames[J]. Applied Mathematics and Computation, 1989,34:147-171.
  • 2Putro U S, Kijima K, Takahashi S. Adaptive learning of hypergame situations using a genetic algorithm [J].IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans, 2000, 5: 562-572.
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  • 7Song Yexin, Wang Qian, Li Zhijun. A group decision making method for integrating outcome preferences in hypergame situations[J].Lecture Notes in Artificial Intelligence, 2005,3613 : 676-683.

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Journal of Systems Engineering and Electronics
2005年 第1期

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