一种基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法  

A fuzzy linguistic TOPSIS decision making method based on alternatives-linguistic terms decision matrixes

作　　者：任芳玲[1] 孔明明 REN Fang-ling;KONG Ming-ming(College of Mathematics and Computer Science,Yan'an Univers让 y,Yan'an 716000,China;College of Computerand Software Engineering,Xihua University,Chengdu 610039,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000 [2]西华大学计算机与软件工程学院,成都610039

出　　处：《控制与决策》2019年第3期602-610,共9页Control and Decision

基　　金：国家自然科学基金项目(61372187);延安市科研计划基金项目(2017WZZ-03-02)

摘　　要：模糊语言决策方法是决策领域的热点研究内容之一.比较现有模糊语言决策方法研究中广泛使用的决策矩阵,提出对象-语言值决策矩阵表示决策专家根据决策属性给出的评价语言信息,分析对象-语言值决策矩阵在区分明晰、部分未知及犹豫的模糊语言决策问题中的优势;借鉴经典TOPSIS决策方法及向量运算,给出基于对象-语言值决策矩阵的正负理想解确定方法以及备选对象与正负理想解的伪距离和贴近度计算方法,分析伪距离和贴近度的相关性质;基于2-元组语言表示模型,提出基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法.通过实例分析,并与已有3种重要的模糊语言决策方法进行比较,比较结果说明所提出的决策方法可以克服已有决策方法的不足,是一种可选的模糊语言决策方法.Fuzzy linguistic decision making methods are hot in decision making. Compared with the decision matrixes which are widely used in fuzzy linguistic decision making methods, alternatives-linguistic terms decision matrixes are provided to represent decision results of experts with respect to attributes, and the advantage of alternatives-linguistic terms decision matrixes in distinguishing linguistic decision making of distinct, partial unknown or hesitant linguistic environments is analyzed. Inspired by the classical TOPSIS decision method and vector operation, the positive and negative ideal solutions based on alternatives-linguistic terms decision matrixes are presented, pseudo-distances and relative closeness between the positive(negative) ideal solution and alternatives are calculated, and their properties are analyzed. Then based on the 2-tuple linguistic represent model, the fuzzy linguistic TOPSIS decision making method based on alternatives-linguistic terms decision matrixes are proposed. An example is given to illustrate the practicality of the proposed method. Compared with three existed important fuzzy linguistic decision making methods, the proposed method can be used to overcome the drawback of the existed method, which is an alternative fuzzy linguistic decision making method.

关 键 词：模糊语言决策 决策矩阵 TOPSIS决策方法 正负理想解 2-元组语言表示模型 伪距离 贴近度 

分 类 号：C934[经济管理—管理学]