{"title":"半群上双极直觉性\\(\\Omega \\) -模糊理想的一些性质","authors":"Mourad Oqla Massa’deh, Ahlam Fellatah","doi":"10.1007/s13370-025-01319-4","DOIUrl":null,"url":null,"abstract":"<div><p>Given the concept of bipolar intuitionistic fuzzy set and a set <span>\\(\\Omega ,\\)</span> The concept of a bipolar intuitionistic <span>\\(\\Omega \\)</span>-fuzzy right (left) ideal, a bipolar intuitionistic <span>\\(\\Omega \\)</span>-fuzzy bi-ideals and a bipolar intuitionistic <span>\\(\\Omega \\)</span>-fuzzy ideal, a bipolar (1, 2)-ideals in semigroup are discussed and some results and properties are introduced. Using bipolar intuitionistic fuzzy bi-ideal, a bipolar intuitionistic <span>\\(\\Omega \\)</span>-fuzzy bi-ideals constructed. We discuss some theorems and properties on their concepts and some results are explored.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some properties in bipolar intuitionistic \\\\(\\\\Omega \\\\)-fuzzy ideals over semigroups\",\"authors\":\"Mourad Oqla Massa’deh, Ahlam Fellatah\",\"doi\":\"10.1007/s13370-025-01319-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Given the concept of bipolar intuitionistic fuzzy set and a set <span>\\\\(\\\\Omega ,\\\\)</span> The concept of a bipolar intuitionistic <span>\\\\(\\\\Omega \\\\)</span>-fuzzy right (left) ideal, a bipolar intuitionistic <span>\\\\(\\\\Omega \\\\)</span>-fuzzy bi-ideals and a bipolar intuitionistic <span>\\\\(\\\\Omega \\\\)</span>-fuzzy ideal, a bipolar (1, 2)-ideals in semigroup are discussed and some results and properties are introduced. Using bipolar intuitionistic fuzzy bi-ideal, a bipolar intuitionistic <span>\\\\(\\\\Omega \\\\)</span>-fuzzy bi-ideals constructed. We discuss some theorems and properties on their concepts and some results are explored.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-05-05\",\"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/s13370-025-01319-4\",\"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/s13370-025-01319-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some properties in bipolar intuitionistic \(\Omega \)-fuzzy ideals over semigroups
Given the concept of bipolar intuitionistic fuzzy set and a set \(\Omega ,\) The concept of a bipolar intuitionistic \(\Omega \)-fuzzy right (left) ideal, a bipolar intuitionistic \(\Omega \)-fuzzy bi-ideals and a bipolar intuitionistic \(\Omega \)-fuzzy ideal, a bipolar (1, 2)-ideals in semigroup are discussed and some results and properties are introduced. Using bipolar intuitionistic fuzzy bi-ideal, a bipolar intuitionistic \(\Omega \)-fuzzy bi-ideals constructed. We discuss some theorems and properties on their concepts and some results are explored.
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