{"title":"For closeable and cutworthy properties, closures always commute with cuts","authors":"L. Kitainik","doi":"10.1109/FUZZY.1992.258743","DOIUrl":null,"url":null,"abstract":"The analysis presented contains generalization and algebraic characterization of closeability and cutworthiness of properties of crisp and fuzzy objects. A positive solution of the Bandler-Kohout problem is obtained. For closeable and cutworthy properties of fuzzy subsets of a finite set, closures always commute with alpha -cuts.<<ETX>>","PeriodicalId":222263,"journal":{"name":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.1992.258743","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The analysis presented contains generalization and algebraic characterization of closeability and cutworthiness of properties of crisp and fuzzy objects. A positive solution of the Bandler-Kohout problem is obtained. For closeable and cutworthy properties of fuzzy subsets of a finite set, closures always commute with alpha -cuts.<>