{"title":"格蕴涵代数中的一些模糊LI -理想","authors":"Yong Lin Liu, San-yang Liu, Yang Xu","doi":"10.1142/9789812702661_0015","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to introduce the notions of fuzzy prime LI - ideals and fuzzy maximal LI - ideals in lattice implication algebras. Some properties of fuzzy ILI - ideals are investigated. Nine characterizations of fuzzy prime LI - ideals in lattice implication algebras and eight characterizations of fuzzy prime LI - ideals in lattice H implication algebras are obtained. The extension properties of fuzzy prime LI - ideals is given. The relations among various fuzzy LI - ideals and LI - ideals are established, respectively. We introduce the notion of fuzzy zero LI - ideals of lattice implication algebras. Finally we describe some classes of lattice implication algebras via fuzzy ILI - ideals (resp. fuzzy prime LI - ideals, fuzzy maximal LI - ideals).","PeriodicalId":138336,"journal":{"name":"Journal of Nanping Teachers College","volume":"23 4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some Fuzzy LI - Ideals in Lattice Implication Algebras\",\"authors\":\"Yong Lin Liu, San-yang Liu, Yang Xu\",\"doi\":\"10.1142/9789812702661_0015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to introduce the notions of fuzzy prime LI - ideals and fuzzy maximal LI - ideals in lattice implication algebras. Some properties of fuzzy ILI - ideals are investigated. Nine characterizations of fuzzy prime LI - ideals in lattice implication algebras and eight characterizations of fuzzy prime LI - ideals in lattice H implication algebras are obtained. The extension properties of fuzzy prime LI - ideals is given. The relations among various fuzzy LI - ideals and LI - ideals are established, respectively. We introduce the notion of fuzzy zero LI - ideals of lattice implication algebras. Finally we describe some classes of lattice implication algebras via fuzzy ILI - ideals (resp. fuzzy prime LI - ideals, fuzzy maximal LI - ideals).\",\"PeriodicalId\":138336,\"journal\":{\"name\":\"Journal of Nanping Teachers College\",\"volume\":\"23 4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nanping Teachers College\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789812702661_0015\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nanping Teachers College","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812702661_0015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Fuzzy LI - Ideals in Lattice Implication Algebras
The purpose of this paper is to introduce the notions of fuzzy prime LI - ideals and fuzzy maximal LI - ideals in lattice implication algebras. Some properties of fuzzy ILI - ideals are investigated. Nine characterizations of fuzzy prime LI - ideals in lattice implication algebras and eight characterizations of fuzzy prime LI - ideals in lattice H implication algebras are obtained. The extension properties of fuzzy prime LI - ideals is given. The relations among various fuzzy LI - ideals and LI - ideals are established, respectively. We introduce the notion of fuzzy zero LI - ideals of lattice implication algebras. Finally we describe some classes of lattice implication algebras via fuzzy ILI - ideals (resp. fuzzy prime LI - ideals, fuzzy maximal LI - ideals).
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