动态区间三角模糊多属性决策的TOPSIS扩展方法  

Extended TOPSIS Method for Dynamic Interval-valued Triangular Fuzzy Multi-Attribute Decision Making

作　　者：张市芳[1] 

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》2013年第18期183-188,共6页Mathematics in Practice and Theory

基　　金：国家青年科学基金项目(11101320);陕西省自然科学基金项目(2013JM1007)

摘　　要：针对各决策时段的时间权重已知,属性值以区间三角模糊数形式给出的动态多属性决策问题,提出了一种基于逼近于理想解排序(TOPSIS)拓展的决策分析方法.方法首先利用给出的动态区间三角模糊加权平均(DITFWA)算子对各时段的评价值进行集成,以获取综合评价值.然后依据传统TOPSIS法的基本思想,对整个方案集进行排序并择优.最后给出一个实例进行分析,所得结果表明了该方法的实用性和可行性.With respect to dynamic multi-attribute decision making problem, in which period weights are given and attribute values at different periods are expressed in intervalvalued triangular fuzzy numbers, an extended decision making method based on TOPSIS （technique for order preference by similarity to an ideal solution） is presented. First, using the given dynamic interval-valued triangular fuzzy weighted averaging （DITFWA） operator to collect the evaluation values at different periods, the total evaluation values are obtained. Then, according to the basic ideology of the traditional TOPSIS method, the ranking of alternatives is obtained and the best solution is found. Finally, a numerical example is given, and the result shows the practicality and feasibility of the proposed method.

关 键 词：动态多属性决策 区间三角模糊数 TOPSIS法 动态区间三角模糊加权平均算子 

分 类 号：O225[理学—运筹学与控制论]