{"title":"c -代数的模糊理想","authors":"Berhanu Assaye Alaba, Gezahagne Mulat Addis","doi":"10.22457/ijfma.v16n1a4","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"179 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Fuzzy Ideals of C-Algebras\",\"authors\":\"Berhanu Assaye Alaba, Gezahagne Mulat Addis\",\"doi\":\"10.22457/ijfma.v16n1a4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.\",\"PeriodicalId\":385922,\"journal\":{\"name\":\"International Journal of Fuzzy Mathematical Archive\",\"volume\":\"179 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Fuzzy Mathematical Archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/ijfma.v16n1a4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v16n1a4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.