基于重心和平均模糊度的模糊数排序  

Ranking fuzzy numbers based on centroid and average ambiguity

作　　者：陈桂秀 马咸礼 CHEN Gui-xiu;MA Xian-li(School of Mathematics and statistics,Qinghai Normal University,Xining 810008,China;Academic affairs office,Qinghai Normal University,Xining 810008,China)

机构地区：[1]青海师范大学数学与统计学院,青海西宁810008 [2]青海师范大学教务处,青海西宁810008

出　　处：《青海师范大学学报（自然科学版）》2020年第3期6-11,共6页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：青海省应用基础研究项目(No.2019-ZJ-7078)。

摘　　要：在模糊数的实际应用和决策分析中,模糊数的排序起着非常重要的作用.许多学者提出了一些模糊数的排序方法,如基于模糊数的重心排序,基于模糊数的重心与原点的距离排序,基于模糊数的距离排序等方法.本文将赵娟2008年提出的排序指标D(A)进行化简并记作D*(A),然后根据D*(A)的大小进行排序,对重心相同的模糊数再根据平均模糊度d(A)的大小进行排序.Ranking fuzzy numbers plays a very important role in the practical application and decision analysis of fuzzy numbers.Many scholars have proposed some ranking methods,such as ranking fuzzy numbers based on its centroid,ranking fuzzy numbers based on distance between its centroid and origin,ranking fuzzy numbers based on distance fuzzy numbers and so on.The paper simplified ranking index D(A) put forward by Zhao and be denoted by D*(A) and ranked by the size of D*(A),and then ranked fuzzy numbers with the same centroid according to the average ambiguity d(A).

关 键 词：模糊数 排序 平均模糊度 

分 类 号：O159[理学—数学]