模糊多属性决策的投影折衷方法

Projected Compromise Method for Fuzzy Multiple Attribute Decision Making

基于矢量投影的思想,导出了分量为L-R型梯形模糊数的模糊矢量投影的计算公式。通过将加权后的方案矢量投影到理想解上,再将负理想解投影到方案矢量上,进而在两个投影的基础上构建方案与理想解的相对贴近度,用以确定多属性决策方案的优劣次序。同时,本文以实例对这一决策方法进行了说明。

This paper proposed a fuzzy vector projection method to solve multiple attribute decision problems with trapezoidal fuzzy numbers in L-R forms. First of all,the weighted alternative vector is projected onto the ideal solution space, and then the negative ideal solution is also projected onto the alternative vector. On the basis of the two vector projections,a relative closeness degree of alternative and ideal solution is defined to rank all the decision alternatives. To make this clearer ,an illustrative example is given for demonstration.