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基于改进直觉模糊熵和信息集成算子的多准则群决策方法
引用本文:汪凌.基于改进直觉模糊熵和信息集成算子的多准则群决策方法[J].信息与控制,2020(2):219-224,232.
作者姓名:汪凌
作者单位:华东交通大学经济管理学院
基金项目:安徽省高校优秀人才重点支持计划资助项目(gxyqZD2016200);工业安全与应急技术安徽省重点实验室开放基金资助项目(ISET201802);合肥工业大学“双一流提升自主创新和社会服务能力”经费资助项目(45000-411104/009)。
摘    要:针对直觉模糊环境下准则权重和决策者权重完全未知的群决策问题,提出了一种基于改进直觉模糊熵和信息集成算子的多准则群决策方法.首先,借助直觉模糊数、语言变量法和定量指标值转化公式,将决策者的初始评价准则值规范化;其次,引入改进的直觉模糊熵度量方法确定准则权重和决策者权重;进一步对直觉模糊决策矩阵用直觉模糊加权平均算子和直觉模糊有序加权平均算子进行信息集成,利用新的得分函数对备选方案排序择优.从理论上论证了该方法的可行性,结合算例验证了该方法的有效性.

关 键 词:多准则群决策  直觉模糊熵  准则权重  决策者权重  得分函数

Multi-criteria Group Decision Making Method Based on Improved Intuitionistic Fuzzy Entropy and Information Integration Operator
WANG Ling.Multi-criteria Group Decision Making Method Based on Improved Intuitionistic Fuzzy Entropy and Information Integration Operator[J].Information and Control,2020(2):219-224,232.
Authors:WANG Ling
Affiliation:(School of Economics and Management,East China Jiao Tong University,NanChang 330013,China)
Abstract:In order to solve the problem of group decision making in which the criteria weight and the weight of decision makers are completely unknown in the intuitive fuzzy environment,we propose a multi-criteria group decision method based on improved intuitionistic fuzzy entropy and information integration operator.Firstly,using the intuitive fuzzy numbers,language variable method and quantitative index value conversion formula,we normalize the initial evaluation criteria for decision makers.Secondly,we introduce improved intuitive fuzzy entropy to determine the criteria weight and the weight of decision makers.Thirdly,we use the intuitionistic fuzzy weighted average operator and the intuitionistic fuzzy ordered weighted average operator to integrate the intuitive fuzzy decision matrix,and use the improved score function to optimize the ranking of options.We prove the feasibility of this method theoretically,and verify the effectiveness of the method by an example.
Keywords:multi-criteria group decision-making  intuitive fuzzy entropy  criteria weight  expert weight  score function
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