基于后悔理论的区间二元语义多属性群决策方法
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Approach to Multiple Attribute Group Decision Making Based on Regret Theory and Interval 2-tuple Linguistic Information
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    摘要:

    针对评价信息为区间语言变量的多属性群决策问题,提出了一种基于后悔理论的区间二元语义多属性群决策方法,该方法能够有效考虑决策者在决策过程中产生的一种风险规避,及其在后悔与欣喜之间存在的心理差异变化。首先,介绍关于区间二元语义信息的一些基本概念,并给出了区间二元语义均值与方差的定义;针对决策矩阵元素为区间二元语义变量属性权重部分未知的多属性群决策问题,利用区间二元语义的方差,通过构建优化模型确定最优属性权重,并提出了一种基于后悔理论的区间二元语义多属性群决策方法;最后将提出的方法应用至企业设计方案的选择中,结果与比较分析表明该方法具有一定可行性和有效性。

    Abstract:

    Aiming at the multiattribute group decision making problem with the evaluation information as interval linguistic variables, this paper proposes an interval binary semantic multiattribute group decision making method based on regret theory, which can effectively consider Risk aversion by decision makers in the decision process. There are psychological differences between regret and rejoice. First of all, this paper introduces some basic concepts about interval binary linguistic information and gives the definition of interval binary linguistic mean and variance. Aiming at the multiattribute group decision making problem in which the decision matrix elements are unknown to the weight of the interval binary semantic variable, the variance of the interval binary linguistic is used to determine the optimal attribute weight by constructing the optimization model, and the interval based on regret theory is proposed. Finally, the method proposed in this paper is applied to the choice of enterprise design scheme. The results and comparative analysis show that the method has certain feasibility and effectiveness.

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林文豪, 陈梅倩.基于后悔理论的区间二元语义多属性群决策方法[J].重庆工商大学学报(自然科学版),2019,36(2):8-15
LIN Wen-hao, CHEN Mei-qian. Approach to Multiple Attribute Group Decision Making Based on Regret Theory and Interval 2-tuple Linguistic Information[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2019,36(2):8-15

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  • 在线发布日期: 2019-04-08
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