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Complex Fuzzy Ideals Coinciding in Semigroups | Synapse

April 1, 2026Open Access

Complex Fuzzy Ideals Coinciding in Semigroups

Key Points

The aim is to introduce complex fuzzy ideals in semigroups and identify conditions for their coincidence.
Definition and exploration of complex fuzzy ideals and related concepts in semigroups.
Mathematical proofs of properties associated with these ideals.
Analysis of coincidence conditions in various types of semigroups such as regular and semisimple.
Introduced various forms of complex fuzzy ideals including biideals and quasi-ideals.
Established essential conditions for coinciding ideals across different categories of semigroups.

Abstract

This paper introduces the concepts and properties of complex fuzzy ideals (generalized biideals, bi-ideals, interior ideals, quasi-ideals, and (1, 2)-ideals) in semigroups, with proofs.Furthermore, we investigate the essential conditions for coincidence in the regular, intraregular, semisimple, weakly regular, or quasi-regular manner, in semigroups.

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Cite This Study

Khamrot et al. (Tue,) studied this question.

synapsesocial.com/papers/69cd79bb5652765b073a68ed https://doi.org/https://doi.org/10.5391/ijfis.2026.26.1.81