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Hesitant Hybrid Ideals in Gamma Semigroups.

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Title: Hesitant Hybrid Ideals in Gamma Semigroups.
Authors: Pushpam, A. Elsy Gnana1 elsy.agp@gmail.com, John, J. Catherine Grace2 catherine@karunya.edu
Source: IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1419-1425. 7p.
Subjects: Fuzzy sets, Semigroups (Algebra)
Abstract: Hesitant fuzzy sets effectively handle uncertainty by permitting multiple possible membership values, making them highly suitable for addressing problems involving vagueness, subjectivity, and human judgment. Their versatility has enabled wide-ranging applications in fields such as decision science, artificial intelligence, medical diagnosis, engineering, and image processing. In this study, we introduce the concept of hesitant hybrid ideals in Γ-semigroups and establish the corresponding notions of ideals, bi-ideals, quasi-ideals and bi-quasi ideals within Γ-subsemigroups. Furthermore, we explore their key properties and provide characterizations of regular Γ-semigroups in terms of hesitant hybrid right bi-quasi ideals. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics 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.)
Database: Engineering Source
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2026, Vol. 56 Issue 4, p1419-1425. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Semigroups+%28Algebra%29%22">Semigroups (Algebra)</searchLink>
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  Data: Hesitant fuzzy sets effectively handle uncertainty by permitting multiple possible membership values, making them highly suitable for addressing problems involving vagueness, subjectivity, and human judgment. Their versatility has enabled wide-ranging applications in fields such as decision science, artificial intelligence, medical diagnosis, engineering, and image processing. In this study, we introduce the concept of hesitant hybrid ideals in Γ-semigroups and establish the corresponding notions of ideals, bi-ideals, quasi-ideals and bi-quasi ideals within Γ-subsemigroups. Furthermore, we explore their key properties and provide characterizations of regular Γ-semigroups in terms of hesitant hybrid right bi-quasi ideals. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of IAENG International Journal of Applied Mathematics 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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