三角模糊多属性群决策的GRA扩展方法  

Extended GRA Method for Triangular Fuzzy Multi-Attribute Group Decision Making

作　　者：张市芳[1] ZHANG Shifang(School of Computer Science and Engineering,State and Local Joint Lab.of New Network and Monitoring Control Engineering,Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]西安工业大学计算机科学与工程学院/新型网络检测与控制工程国家地方联合实验室,西安710021

出　　处：《西安工业大学学报》2018年第6期652-656,共5页Journal of Xi’an Technological University

基　　金：西安工业大学校长基金(XAGDXJJ18015);新型网络与检测控制国家地方联合工程实验室基金(GSYSJ2017006)

摘　　要：针对属性权重信息和决策者权重信息完全已知,且属性值以三角模糊数形式表示的多属性群决策问题,提出了一种基于灰色关联分析(Grey Relational Analysis,GRA)拓展的决策分析方法.文中给出了三角模糊数的相关定义,利用三角模糊加权平均(Triangular FuzzyWeighted Averaging,TFWA)算子集结所有的个体决策信息以获得群决策信息,依据传统GRA方法的基本思想建立了三角模糊多属性群决策问题的决策步骤.并对投资决策问题实例进行了决策和分析,表明了文中方法的实用性和可行性.In order to dolve the multi attribute group decision making problem,in which attribute weights and decision makers’weights are given and attribute values are expressed in triangular fuzzy numbers,the paper an extended decision making method based on GRA(Grey Relational Analysis).The definition of triangular fuzzy numbers is given.Then,the triangular fuzzy weighted averaging(TFWA)operator is used to collect all the individual decision making information,the group information is obtained.Based on the basic concept of the traditional GRA method,the decision making steps are built for the multi-attribute group decision making problem with triangular fuzzy numbers are presented.Finally,a numerical example for investment decision making problems is effered to prove the practicality and feasibility of the proposed method.

关 键 词：多属性群决策 三角模糊数 GRA方法 可能度 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程] C934[自动化与计算机技术—控制科学与工程]