作　　者： ;

机构地区： 四川大学工商管理学院

出　　处： 《系统工程理论与实践》 2002年第10期84-93,共10页

摘　　要： 针对模糊多指标群决策中模糊数的比较与排序问题 ,定义了模糊数的 Hausdorff度量与乐观 -悲观效用函数 ,根据乐观 -悲观效用函数求出模糊多指标群决策问题的理想点和负理想点 ,进而由 Haus-dorff度量获得不同备选方案到理想点与负理想点的距离及其贴近度 ,从而在模糊多指标群决策中托展了理想点逼近方法 .最后 ,就带三角形模糊数与梯形模糊数的多指标群决策问题分别进行了深入的讨论 . In this paper, we propose a new method by the optimism\|pessimism\|like utility functions and Hausdorff distance metric for the ranking or comparison of fuzzy numbers to multiple attribute group decision\|making problems. The distance of different alternatives versus ideal point and anti\|ideal point is obtained by using the optimism\|pessimism\|like utility functions. The closeness coefficient values of various alternatives versus ideal point are then ranked to determine the best alternative based on Hausdorff metric. The aim of the paper is to extend the technique of order preference by similarity to ideal and anti\|ideal alternative for multiple attribute group decision\|making problems under fuzzy environment. Finally, we present multiple attribute group decision\|making problems with triangular fuzzy numbers and trapezoidal fuzzy numbers to illustrate highlight the procedure of the proposed method at the end of this paper.

关 键 词： 度 模糊多指标群决策 方法 三角形模型数 梯形模糊数

领　　域： [理学] [理学]