Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
