{"title":"A short note on fuzzy partition","authors":"Jian Yu, Yong-Min Mu, Hong-bo Shi","doi":"10.1109/ICMLC.2002.1167447","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a new definition of fuzzy partition out of intuition. Its properties are well studied. According to the new definition, we can prove that the first term of minimax (MM) decomposition of any fuzzy partition can be a nondegenerate hard partition.","PeriodicalId":90702,"journal":{"name":"Proceedings. International Conference on Machine Learning and Cybernetics","volume":"53 1","pages":"1451-1454 vol.3"},"PeriodicalIF":0.0000,"publicationDate":"2002-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2002.1167447","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we propose a new definition of fuzzy partition out of intuition. Its properties are well studied. According to the new definition, we can prove that the first term of minimax (MM) decomposition of any fuzzy partition can be a nondegenerate hard partition.