摘要
针对专家权重和属性权重完全未知,属性值由直觉梯形模糊数形式给出的多属性群决策问题,引入直觉梯形模糊数可能度的概念,提出了一种基于可能度的决策方法。该方法首先通过专家偏好值与群体均值之间的相似度以及属性之间比较的可能度,分别求得专家权重和属性权重,进而综合专家权重和属性权重得到各方案的综合值。然后比较各方案的综合值得到可能度矩阵的排序向量,并以此为依据对方案进行排序。最后,给出算例验证了该方法的有效性。
With respect to multi-attribute group decision making problem,in which the expert weights and attribute weights are unknown,the attribute values are in the form of intuitionistic trapezoidal fuzzy number,the concept of intuitionistic trapezoidal fuzzy number is introduced,and a new method based on possibility degree is proposed. Based on the similarity between the experts preference and the group mean values,expert weights and attribute weights are calculated respectively,and then the expert weights and attribute weights are combined to get the comprehensive value. The comprehensive value of each scheme is compared in pairs to get the ordering vector of possibility degree matrix,and according to this,the schemes are ranked. Finally,an example is used to verify the effectiveness of the method.
出处
《火力与指挥控制》
CSCD
北大核心
2015年第12期80-83,88,共5页
Fire Control & Command Control
基金
军队科研基金资助项目(KJ2014023105B11124)
关键词
直觉梯形模糊数
多属性群决策
可能度
排序
multi-attribute group decision-making
intuitionistic trapezoidal fuzzy number
possibility degree
ranking