{"title":"对于可关闭和可切割的属性,闭包总是与切割交换","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":"{\"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}","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}
For closeable and cutworthy properties, closures always commute with cuts
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.<>