Characterizations of Semisimple Semigroups by the Properties of Their Spherical Fuzzy Interior Ideals

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DOI: https://doi.org/10.28924/2291-8639-24-2026-139
Published: Apr 30, 2026
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Natthinee Deetae, Pannawit Khamrot, Thiti Gaketem, Characterizations of Semisimple Semigroups by the Properties of Their Spherical Fuzzy Interior Ideals, Int. J. Anal. Appl., 24 (2026), 139.

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Natthinee Deetae, Pannawit Khamrot, Thiti Gaketem

Abstract

The concept of spherical fuzzy sets was introduced by Ashraf et al. (2019) as a generalization of intuitionistic fuzzy sets, picture fuzzy sets, and Pythagorean fuzzy sets. Subsequently, in 2022, V. Chinnadurai et al. investigated spherical fuzzy ideals in semigroups. In this paper, we introduce the notion of spherical fuzzy interior ideals in semigroups and explore several of their fundamental properties. Furthermore, we provide a characterization of semisimple semigroups in terms of spherical fuzzy interior ideals.

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