模糊数比较与排序方法之间的关系  

The Relations between the Methods for Fuzzy Number Comparison and Sorting

作　　者：张贞[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《重庆工商大学学报（自然科学版）》2013年第9期43-47,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金项目(11001289);重庆市教委科研项目(KJ100608)

摘　　要：利用结构元方法定义了模糊数空间上几种序关系,将模糊值函数的比较转化成[-1,1]上同序单调函数的比较问题;在此基础上证明了模糊数的几种序关系之间的关系,从而为依赖模糊数排序的模糊决策问题提供了多种的分析工具.This paper uses structural element method to define several relations on fuzzy number space, transforms the comparison of fuzzy value function into the comparison of the same order monotone function on [ -1, 1 ], based on this, the relationship among several order relations of fuzzy number is verified, so that many analysis tools are provided for fuzzy decision-making problems depending on fuzzy number sorting.

关 键 词：模糊结构元 模糊数排序 关系 

分 类 号：O159[理学—数学]