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This research introduces multi-polar intuitionistic fuzzy sets to enhance ideal structures in ordered ternary semigroups, highlighting novel algebraic properties.
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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Palanikumar et al. (2025) studied this question.
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