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

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DOI: https://doi.org/10.28924/2291-8639-23-2025-200
Published: Aug 15, 2025
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M. Palanikumar, T. T. Raman, Aiyared Iampan, M. Geethalakshmi, Characterization of Level Set Through Multi-Polar Extension of Intuitionistic Fuzzy Different Ideals on Regular Ordered Ternary Semigroups, Int. J. Anal. Appl., 23 (2025), 200.

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M. Palanikumar, T. T. Raman, Aiyared Iampan, M. Geethalakshmi

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.

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