Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha
{"title":"Lattice Valued Fuzzy Sets in UP (BCC)-Algebras","authors":"Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha","doi":"10.28924/2291-8639-21-2023-59","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-59","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.
本文将l -模糊集(lfs)的概念应用于UP (BCC)-代数,并引入UP (BCC)-代数中的五种lfs: L-fuzzy UP (BCC)-子代数、L-fuzzy近UP (BCC)-滤波器、L-fuzzy UP (BCC)-滤波器、L-fuzzy UP (BCC)-理想和L-fuzzy强UP (BCC)-理想。此外,我们还研究了UP (BCC)-代数中的特征lfs、t-level子集以及lfs的笛卡尔积。