{"title":"（i-v）半群中的伪对称模糊理想","authors":"Paltu Sarkar, Sukhendu Kar","doi":"10.1007/s13370-024-01236-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we discover Anjaneyulu’s pseudo-symmetricity with the help of interval-valued fuzzy membership function. In semigroups, we propose the concept of (<i>i–v</i>) pseudo-symmetric (semipseudo-symmetric, semiprimary) fuzzy ideals and cultivate their different properties. Moreover, we mention some relationships among three (<i>i–v</i>) fuzzy radicals. Lastly, we verify that the (<i>i–v</i>) fuzzy ideals, namely, (<i>i–v</i>) completely prime, (<i>i–v</i>) completely semiprime, (<i>i–v</i>) pseudo-symmetric and (<i>i–v</i>) primary fuzzy ideals are equivalent in some specific semigroups.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"(i–v) Pseudo-symmetric fuzzy ideal in semigroups\",\"authors\":\"Paltu Sarkar, Sukhendu Kar\",\"doi\":\"10.1007/s13370-024-01236-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we discover Anjaneyulu’s pseudo-symmetricity with the help of interval-valued fuzzy membership function. In semigroups, we propose the concept of (<i>i–v</i>) pseudo-symmetric (semipseudo-symmetric, semiprimary) fuzzy ideals and cultivate their different properties. Moreover, we mention some relationships among three (<i>i–v</i>) fuzzy radicals. Lastly, we verify that the (<i>i–v</i>) fuzzy ideals, namely, (<i>i–v</i>) completely prime, (<i>i–v</i>) completely semiprime, (<i>i–v</i>) pseudo-symmetric and (<i>i–v</i>) primary fuzzy ideals are equivalent in some specific semigroups.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-01-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-024-01236-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01236-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we discover Anjaneyulu’s pseudo-symmetricity with the help of interval-valued fuzzy membership function. In semigroups, we propose the concept of (i–v) pseudo-symmetric (semipseudo-symmetric, semiprimary) fuzzy ideals and cultivate their different properties. Moreover, we mention some relationships among three (i–v) fuzzy radicals. Lastly, we verify that the (i–v) fuzzy ideals, namely, (i–v) completely prime, (i–v) completely semiprime, (i–v) pseudo-symmetric and (i–v) primary fuzzy ideals are equivalent in some specific semigroups.
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