Characterization of Level Set Through Multi-Polar Extension of Intuitionistic Fuzzy Different Ideals on Regular Ordered Ternary Semigroups

In this paper, we investigate several algebraic properties of regular ordered ternary semigroups through the lens of multi-polar intuitionistic fuzzy sets. We introduce a novel approach to defining Q-anti-fuzzy different types of ideals—namely, left ideals, right ideals, lateral ideals, and bi-ideals. These generalized ideals are systematically extended within the framework of ordered ternary semigroups, revealing new structural insights.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-08-15
DOI
https://doi.org/10.28924/2291-8639-23-2025-200
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Characterization of Level Set Through Multi-Polar Extension of Intuitionistic Fuzzy Different Ideals on Regular Ordered Ternary Semigroups

Murugan Palanikumar, T. T. Raman, Aiyared Iampan, M. Geethalakshmi
International Journal of Analysis and Applications
Fuzzy and Soft Set Theory
article

Characterization of Level Set Through Multi-Polar Extension of Intuitionistic Fuzzy Different Ideals on Regular Ordered Ternary Semigroups

Murugan Palanikumar, T. T. Raman, Aiyared Iampan, M. Geethalakshmi
article en

Abstract

In this paper, we investigate several algebraic properties of regular ordered ternary semigroups through the lens of multi-polar intuitionistic fuzzy sets. We introduce a novel approach to defining Q-anti-fuzzy different types of ideals—namely, left ideals, right ideals, lateral ideals, and bi-ideals. These generalized ideals are systematically extended within the framework of ordered ternary semigroups, revealing new structural insights.

International Journal of Analysis and ApplicationsVol. 23
University of Phayao
Openalex Percentile: Top 75%
Fuzzy and Soft Set Theory
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