基于错误损失视角的梯形模糊多属性群决策方法
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摘要
文章针对属性值为梯形模糊数的多属性群决策问题,在给出错误和损失相关的概念和设定研究假设前提的基础上,从错误损失的角度提出一种新的决策方法。首先,根据决策者的心理期望特征构建错误函数实现对错误的定量描述,并根据错误值将备选策略划分为可行策略和不可行策略两类;接着,给出属性极限损失函数,进而通过错误值和极限损失值获得损失值。然后,采用TOPSIS法对损失信息进行集结,实现对可行策略的排序与选优。最后,通过一个算例分析不同的心理期望条件对决策分析结果的影响。
Aiming at the multi-attribute group decision-making with attribute value to be trapezoidal fuzzy number, this paper proposes a new decision-making method from the perspective of error loss on the basis of giving the concept of error and loss-related and the premise of setting research hypothesis. Firstly, the paper constructs the error function according to the psychological expectation characteristics of the decision maker to realize the quantitative description of the error, and divides the alternative strategy into feasible strategy and infeasible strategy according to the error value. And then the attribute limit loss function is given, and the loss value obtained by error value and limit loss value. The paper also uses the ToPSIS method to aggregate the loss information to realize the sorting and optimization of feasible strategies. Finally, the paper employs an example to analyze the influence of different psychological expectation conditions on decision analysis results.
Aiming at the multi-attribute group decision-making with attribute value to be trapezoidal fuzzy number, this paper proposes a new decision-making method from the perspective of error loss on the basis of giving the concept of error and loss-related and the premise of setting research hypothesis. Firstly, the paper constructs the error function according to the psychological expectation characteristics of the decision maker to realize the quantitative description of the error, and divides the alternative strategy into feasible strategy and infeasible strategy according to the error value. And then the attribute limit loss function is given, and the loss value obtained by error value and limit loss value. The paper also uses the ToPSIS method to aggregate the loss information to realize the sorting and optimization of feasible strategies. Finally, the paper employs an example to analyze the influence of different psychological expectation conditions on decision analysis results.
引文
[1]许成磊,段万春,孙永河.多属性群决策的混合结构偏好识别与融合方法[J].中国管理科学, 2016, 24(8).
[2]Chen S M, Cheng S H, Ts W H. Multiple Attribute Group Decision Making Based on Interval-valued Intuitionistic Fuzzy Aggregation Operators and Transformation Techniques of Interval-valued Intu?itionistic Fuzzy Values[J].Information Sciences, 2016.
[3]戴文战,李久亮.灰色多属性偏离靶心度群决策方法[J].系统工程理论实践, 2014, 34(3).
[4]Wan S P, Wang F, Lin L L, et al. Some New Generalized Aggregation Operators for Triangular Intuitionistic Fuzzy Numbers and Applica?tion to Multi-attribute Group Decision Making[J].Computers&Indus?trial Engineering, 2016,(93).
[5]Dong M, Li S Y, Zhang H Y. Approaches to Group Decision Making With Incomplete Information Based on Power Geometric Operators and Triangular Fuzzy AHP[J]. Expert Systems with Applications,2015,42(21).
[6]Tversky A, Kahneman D. Advances in Prospect Theory:Cumulative Representation of Uncertainty[J]. Journal of Risk and Uncertainty.1992. 5(4).
[7]Milkman K L, Mazza M C, Shu L L, et al. Policy Bundling to Over?come Loss Aversion:A Method for Improving Legislative Outcomes[J]. Organizational Behavior and Human Decision Processes, 2012,117(1).
[8]李彬,徐富明,王伟等.损失规避产生的根源[J].心理科学进展,2014, 22(8).
[9]Tom S M, Fox C R, Trepel C, et al. The Neural Basis of Loss Aversion in Decision-making Under Risk[J]. Science, 2007,(315).
[10]Huang H R, Cai K. A Method of Fuzzy Multiple Attribute Decision Making Based on the Error-eliminating Theory[J]. Journal of Intelli?gent&Fuzzy Systems, 2016,31(4).
[11]郭开仲.错误系统[M].北京:科学出版社,2012.
[12]黄灏然,郑琦,黄利舒.多属性决策环境中的错误研究[J].广东工业大学学报, 2016, 33(3).
[13]黄灏然,郭开仲,郑琦.错误综合评价法的研究与应用[J].中国管理科学,2014,22(4).
[14]刘健,刘思峰,马义中,汪建均.基于心理阈值的多属性决策问题目标调整研究[J].中国管理科学,2015,23(2).
[2]Chen S M, Cheng S H, Ts W H. Multiple Attribute Group Decision Making Based on Interval-valued Intuitionistic Fuzzy Aggregation Operators and Transformation Techniques of Interval-valued Intu?itionistic Fuzzy Values[J].Information Sciences, 2016.
[3]戴文战,李久亮.灰色多属性偏离靶心度群决策方法[J].系统工程理论实践, 2014, 34(3).
[4]Wan S P, Wang F, Lin L L, et al. Some New Generalized Aggregation Operators for Triangular Intuitionistic Fuzzy Numbers and Applica?tion to Multi-attribute Group Decision Making[J].Computers&Indus?trial Engineering, 2016,(93).
[5]Dong M, Li S Y, Zhang H Y. Approaches to Group Decision Making With Incomplete Information Based on Power Geometric Operators and Triangular Fuzzy AHP[J]. Expert Systems with Applications,2015,42(21).
[6]Tversky A, Kahneman D. Advances in Prospect Theory:Cumulative Representation of Uncertainty[J]. Journal of Risk and Uncertainty.1992. 5(4).
[7]Milkman K L, Mazza M C, Shu L L, et al. Policy Bundling to Over?come Loss Aversion:A Method for Improving Legislative Outcomes[J]. Organizational Behavior and Human Decision Processes, 2012,117(1).
[8]李彬,徐富明,王伟等.损失规避产生的根源[J].心理科学进展,2014, 22(8).
[9]Tom S M, Fox C R, Trepel C, et al. The Neural Basis of Loss Aversion in Decision-making Under Risk[J]. Science, 2007,(315).
[10]Huang H R, Cai K. A Method of Fuzzy Multiple Attribute Decision Making Based on the Error-eliminating Theory[J]. Journal of Intelli?gent&Fuzzy Systems, 2016,31(4).
[11]郭开仲.错误系统[M].北京:科学出版社,2012.
[12]黄灏然,郑琦,黄利舒.多属性决策环境中的错误研究[J].广东工业大学学报, 2016, 33(3).
[13]黄灏然,郭开仲,郑琦.错误综合评价法的研究与应用[J].中国管理科学,2014,22(4).
[14]刘健,刘思峰,马义中,汪建均.基于心理阈值的多属性决策问题目标调整研究[J].中国管理科学,2015,23(2).