{"title":"Some Fuzzy LI - Ideals in Lattice Implication Algebras","authors":"Yong Lin Liu, San-yang Liu, Yang Xu","doi":"10.1142/9789812702661_0015","DOIUrl":"https://doi.org/10.1142/9789812702661_0015","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":0.0,"publicationDate":"2004-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123807555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}