摘要
针对属性值为模糊变量,属性权重完全未知但已知方案偏好信息为模糊互反判断矩阵的模糊多属性决策问题,给出决策方法。首先通过求解一个模糊期望值目标规划模型获得属性权重,然后基于简单加权平均法则来计算各方案的模糊综合评价值,再根据比较模糊变量大小的期望值方法对方案进行排序,最后通过算例说明该方法的可行性和有效性。
A menthod is presented to deal with the fuzzy multiple attribute decision making problem with alternative perference information, that is reciprocal judgement matrix, in which the attribute weights are unknown completely and the attribute values are given in the form of fuzzy variable. A fuzzy expected value goal programming model is constructed to determine the attrbute weights. Then, basing on the simple additive weighting average, we calculate the fuzzy utility values of various alternative, and rank alternatives by expected value method of fuzzy variables. Finally, a numerical example is given to illustrate the proposed method.
出处
《模糊系统与数学》
CSCD
北大核心
2015年第3期161-166,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(71302072)
湖南省教育厅科研项目(10C1126
10B088)
关键词
互反判断矩阵
模糊多属性决策
期望值目标规划模型
模糊模拟
Reciprocal Judgement Matrix
Fuzzy Multiple Attribute Decision Making
Expected ValueProgramming Model~ Fuzzy Simulation
