{"title":"Generated ($\\in, \\in\\vee q$)-IV-Fuzzy Filters in MTL-algebras","authors":"Chunhui Liu","doi":"10.1109/icsai53574.2021.9664173","DOIUrl":null,"url":null,"abstract":"Based on the conventional IV-fuzzy set inclusion order <tex>$\\sqsubseteq$</tex>, the concept of generated (<tex>$\\in, \\in\\vee q$</tex>) -IV-fuzzy filter by an IV-fuzzy set is introduced and some its properties are discussed in MTL-algebras. Two representation theorems of generated (<tex>$\\in, \\in\\vee q$</tex>) -IV-fuzzy filters are established. It lays a foundation for investigating the lattice theory structure of the set IFil (<tex>$L$</tex>) which is composed of all (<tex>$\\in, \\in\\vee q$</tex>) -IV-fuzzy filters in an MTL-algebra <tex>$L$</tex> with <tex>$\\sqsubseteq$</tex>.","PeriodicalId":131284,"journal":{"name":"2021 7th International Conference on Systems and Informatics (ICSAI)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 7th International Conference on Systems and Informatics (ICSAI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/icsai53574.2021.9664173","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Based on the conventional IV-fuzzy set inclusion order $\sqsubseteq$, the concept of generated ($\in, \in\vee q$) -IV-fuzzy filter by an IV-fuzzy set is introduced and some its properties are discussed in MTL-algebras. Two representation theorems of generated ($\in, \in\vee q$) -IV-fuzzy filters are established. It lays a foundation for investigating the lattice theory structure of the set IFil ($L$) which is composed of all ($\in, \in\vee q$) -IV-fuzzy filters in an MTL-algebra $L$ with $\sqsubseteq$.
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