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

Paper Details

Authors: Deetae N.; Khamrot P.; Gaketem T.

DOI: 10.28924/2291-8639-24-2026-139

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

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. © 2026 the author(s).

Keywords

intra-regular; regular; semisimple; spherical fuzzy interior ideals

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