{"title":"Some results on fuzzy ℓ-ideals and fuzzy ℓ-filters in ℓ-group","authors":"Taye Sisay Tadesse, Kishore Parimi Radhakrishna, Melesse Mulugeta Habte","doi":"10.1080/27684830.2023.2259687","DOIUrl":null,"url":null,"abstract":"In this paper, we study the concept of fuzzy ℓ-ideals and fuzzy ℓ-filters of an ordered group. We provide several characterizations for fuzzy ℓ-ideals and fuzzy ℓ-filters in different perspective. We observe that for any fuzzy convex sub ℓ-group we can find a fuzzy ℓ-ideal and a fuzzy ℓ-filter containing it. Finally, for any fuzzy convex sub ℓ-group can be expressed as the intersection of some fuzzy ℓ-ideals and fuzzy ℓ-filters containing it.","PeriodicalId":45396,"journal":{"name":"Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Research in Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/27684830.2023.2259687","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
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Abstract
In this paper, we study the concept of fuzzy ℓ-ideals and fuzzy ℓ-filters of an ordered group. We provide several characterizations for fuzzy ℓ-ideals and fuzzy ℓ-filters in different perspective. We observe that for any fuzzy convex sub ℓ-group we can find a fuzzy ℓ-ideal and a fuzzy ℓ-filter containing it. Finally, for any fuzzy convex sub ℓ-group can be expressed as the intersection of some fuzzy ℓ-ideals and fuzzy ℓ-filters containing it.
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