模糊数排序的可能度方法  

A Method for Ranking Fuzzy Numbers Based on Possibility Degree

作　　者：郝飞龙[1] 孟明强[1] 李德清[1] 康喜兵[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《数学的实践与认识》2011年第21期209-213,共5页Mathematics in Practice and Theory

摘　　要：由两个模糊数的隶属函数确定三个面积,据此建立一个对模糊数进行大小比较的可能度计算公式.公式表达式非常简洁,同时还具有传递性、互补性等诸多良好的性质,因而具有很强的实用性和可操作性.对给定的一组模糊数,先利用两两比较的结果建立一个可能度矩阵,同时给出基于可能度矩阵的模糊数排序算法.最后给出一个排序算法的实例.A measure which estimates the possibility degree of arithmetic comparison relations between two fuzzy numbers is given. This measure＇s formula possesses many fine properties, such as transitivity, complementary, and so on. In order to rank a set of fuzzy numbers, at first, by applying with the comparison result between any two fuzzy numbers, a possibility degree matrix is established, and an algorithm to rank fuzzy numbers based on the matrix is presented. Finally, an example is given to illustrate the validity of this algorithm

关 键 词：模糊数 可能度 排序 

分 类 号：O159[理学—数学] O223[理学—基础数学]