{"title":"关于fuzzy -理想和fuzzy -滤波器的一些结果","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":"{\"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}","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}
Some results on fuzzy ℓ-ideals and fuzzy ℓ-filters in ℓ-group
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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