Tripolar Fuzzy Quasi-Ideals in Semigroups.

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Title: Tripolar Fuzzy Quasi-Ideals in Semigroups.
Authors: Prommai, Tanaphong1 tanaphong.pr@up.ac.th, Khamrot, Pannawit2 pk_g@rmutl.ac.th, Gaketem, Thiti1 thiti.ga@up.ac.th
Source: IAENG International Journal of Computer Science. May2026, Vol. 53 Issue 5, p1770-1776. 7p.
Subjects: Semigroups (Algebra), Fuzzy sets, Mathematics theorems, Membership functions (Fuzzy logic)
Abstract: In 2018, M. M. K. Rao extended the existing frameworks of fuzzy sets, bipolar fuzzy sets, and intuitionistic fuzzy sets by introducing a more generalized notion of tripolar fuzzy sets. This new structure allows the simultaneous consideration of three distinct membership functions, which provides a richer and more flexible mathematical tool for dealing with uncertainty and dual or multi-polar information. In this article, the authors discussed tripolar fuzzy quasi-ideals in semigroups. Furthermore, we established characterization theorems that describe regular and intra-regular semigroups in terms of tripolar fuzzy quasi-ideals. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 193482033
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  Data: Tripolar Fuzzy Quasi-Ideals in Semigroups.
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  Data: <searchLink fieldCode="AR" term="%22Prommai%2C+Tanaphong%22">Prommai, Tanaphong</searchLink><relatesTo>1</relatesTo><i> tanaphong.pr@up.ac.th</i><br /><searchLink fieldCode="AR" term="%22Khamrot%2C+Pannawit%22">Khamrot, Pannawit</searchLink><relatesTo>2</relatesTo><i> pk_g@rmutl.ac.th</i><br /><searchLink fieldCode="AR" term="%22Gaketem%2C+Thiti%22">Gaketem, Thiti</searchLink><relatesTo>1</relatesTo><i> thiti.ga@up.ac.th</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Computer+Science%22">IAENG International Journal of Computer Science</searchLink>. May2026, Vol. 53 Issue 5, p1770-1776. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Semigroups+%28Algebra%29%22">Semigroups (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+theorems%22">Mathematics theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Membership+functions+%28Fuzzy+logic%29%22">Membership functions (Fuzzy logic)</searchLink>
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  Data: In 2018, M. M. K. Rao extended the existing frameworks of fuzzy sets, bipolar fuzzy sets, and intuitionistic fuzzy sets by introducing a more generalized notion of tripolar fuzzy sets. This new structure allows the simultaneous consideration of three distinct membership functions, which provides a richer and more flexible mathematical tool for dealing with uncertainty and dual or multi-polar information. In this article, the authors discussed tripolar fuzzy quasi-ideals in semigroups. Furthermore, we established characterization theorems that describe regular and intra-regular semigroups in terms of tripolar fuzzy quasi-ideals. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Languages:
      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 1770
    Subjects:
      – SubjectFull: Semigroups (Algebra)
        Type: general
      – SubjectFull: Fuzzy sets
        Type: general
      – SubjectFull: Mathematics theorems
        Type: general
      – SubjectFull: Membership functions (Fuzzy logic)
        Type: general
    Titles:
      – TitleFull: Tripolar Fuzzy Quasi-Ideals in Semigroups.
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            NameFull: Prommai, Tanaphong
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            NameFull: Khamrot, Pannawit
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – TitleFull: IAENG International Journal of Computer Science
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