摘要
针对模糊多属性决策中的模糊 TOPSIS方法 ,提出了一种基于 Hausdauff度量的模糊 TOPSIS方法 .首先由模糊极大集与模糊极小集确定模糊多属性决策问题的理想解与负理想解 ,进而由 Hausdauff度量获得不同备选方案到理想解与负理想解的距离及其贴近度 ,根据贴近度指标对方案进行排序 ,为决策者提供决策支持 .最后以 L-R梯形模糊数为例进行了实例研究 .
According to the TOPSIS method in the fuzzy multiple attribute decision-making (FMADM) Problem, we propose a new TOPSIS method based on Hausdauff metric. Firstly, we find the ideal point and anti-ideal point by maximum fuzzy set and minimum fuzzy set. Secondly, the distance and the closeness coefficient values of different alternatives versus ideal point and anti-ideal point are obtained by using the Hausdauff metric. Finally, all of the alternatives are ranked by the closeness coefficient values based on Hausdauff metric. At the end of this paper, we present a multiple attribute decision-making problem with L-R trapezoidal fuzzy numbers to illustrate the procedure of the proposed method.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第3期233-237,共5页
Mathematics in Practice and Theory
