{"title":"Comparison and Ordering of Fuzzy Numbers Based on Method of Structured Element","authors":"Si-zong GUO","doi":"10.1016/S1874-8651(10)60013-0","DOIUrl":null,"url":null,"abstract":"<div><p>According to the homeomorphic property between fuzzy number space and the family of standard monotone functions on [−1,1], comparison of fuzzy numbers can be transformed into comparison of standard monotone functions on [−1,1]. Some order relations on the fuzzy number space are defined by using the method of fuzzy structured element, and some properties of the order relations are discussed. At last, an example is designed.</p></div>","PeriodicalId":101206,"journal":{"name":"Systems Engineering - Theory & Practice","volume":"29 3","pages":"Pages 106-111"},"PeriodicalIF":0.0000,"publicationDate":"2009-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1874-8651(10)60013-0","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems Engineering - Theory & Practice","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1874865110600130","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
According to the homeomorphic property between fuzzy number space and the family of standard monotone functions on [−1,1], comparison of fuzzy numbers can be transformed into comparison of standard monotone functions on [−1,1]. Some order relations on the fuzzy number space are defined by using the method of fuzzy structured element, and some properties of the order relations are discussed. At last, an example is designed.
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