三角模糊数的一种新排序方法  

A New Ranking Method for Triangle Fuzzy Numbers

作　　者：兰继斌[1] 史丽华[1] 刘芳[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西科学院学报》2007年第3期140-143,共4页Journal of Guangxi Academy of Sciences

摘　　要：根据模糊数的α截集,定义三角模糊数的左、右优于度,构造一致性正互反优于度判断矩阵,并根据其最大特征根所对应的规范化特征向量来确定各个模糊数在α水平下的排序,最后通过积分确定模糊数的排序.该方法满足模糊排序方法合理性的5个公理,而且计算方便.Based on α level set, left and right dominance of triangle fuzzy numbers are defined and subsequently a positive reciprocal judgment matrix with consistency is constructed. The order of fuzzy numbers on α level is established according to its largest eigenvalue corresponding standardized eigenvector. Finally,the ranking of fuzzy numbers is determined by integration. This method satisfies five axioms of the reasonable fuzzy order and the calculation is very convenient.

关 键 词：模糊数 多属性决策 排序 矩阵 α截集 

分 类 号：O159[理学—数学] C934[理学—基础数学]