不确定多属性决策中的一种模糊赋权方法  

A Fuzzy Method of Weighting in Uncertain MADM

作　　者：代曰文 陈云翔[1] 向玲[1] 

机构地区：[1]空军工程大学工程学院,陕西西安710038

出　　处：《数学的实践与认识》2007年第15期60-64,共5页Mathematics in Practice and Theory

摘　　要：研究了以三角模糊数给出属性权重的不确定多属性决策问题,提出了一种基于三角模糊数的赋权方法,并给出了决策模型.首先决策者将属性权重两两比较的结果用三角模糊数表示,构造三角模糊数互补判断矩阵.通过求解矩阵得到模糊权重.然后,集结各方案的模糊综合属性值,通过构造并求解可能度矩阵对方案进行排序.最后给出了一个应用实例.This paper investigates a kind of uncertain multiple attribute decision making （UMADM） whose attribute weights are in form of triangular fuzzy number, proposes a method of weighting based on triangular fuzzy number and presents a decision model. First, the decision maker uses triangular fuzzy number to denote the comparison result of two attributes, and constructs a triangular fuzzy complementary judgment matrix. Next, the matrix is solved to get the fuzzy weights and aggregate the fuzzy integrated attribute value. Then, the possibility matrix is constructed and solved to rank the alternatives. Finally, a numerical example explains the use of the method.

关 键 词：不确定多属性决策 三角模糊数互补判断矩阵 模糊权重 可能度 

分 类 号：O159[理学—数学]