区间三角模糊多属性决策的GRA扩展方法  

Extended GRA Method for Interval-Valued Triangular Fuzzy Multi-Attribute Decision Making

作　　者：张市芳[1] 荆心 

机构地区：[1]西安工业大学计算机科学与工程学院,陕西西安710021

出　　处：《数学的实践与认识》2016年第12期146-150,共5页Mathematics in Practice and Theory

基　　金：陕西省教育厅专项科研计划项目(14JK1354)

摘　　要：针对属性权重信息部分己知且属性值以区间三角模糊数形式给出的多属性决策问题,提出了一种基于灰色关联分析(GRA)扩展的决策方法.首先给出了区间三角模糊数的定义,然后依据传统GRA法的基本思想建立了区间三角模糊数多属性决策问题的决策步骤.最后给出了一个实例分析,所得结果表明了方法的实用性和可行性.With respect to multiple attribute decision making （MADM）problem in which the attribute weights are incompletely and the attribute values are interval-valued triangular fuzzy numbers, an extended method of grey relational analysis （GRA） is proposed. Firstly, the definition of interval-valued triangular fuzzy numbers is given. Then, based on the basic idea of traditional GRA method, decision making steps of MADM problem with intervalvalued triangular fuzzy numbers are proposed. Finally, an example is given to show the practicality and feasibility of the developed approach.

关 键 词：灰色关联分析 多属性决策 区间三角模糊集 属性权重 

分 类 号：O225[理学—运筹学与控制论]