On Some Characterisations of ⋆s – Fuzzy Subsemiring

ASM Sc. J., 20(2), 2025

Published on October 30, 2025

https://doi.org/10.32802/asmscj.2025.1577

Author: Saman Abdurrahman, Thresye and Alya Hanifah Arif

Abstract

This paper aims to introduce and study the concept ⋆s − fuzzy subsemiring of a semiring. Given the idea of fuzzy subsemiring, we obtain the nature of the fundamental property ⋆s − fuzzy subsemiring and the property that states that every fuzzy subsemiring is ⋆s − fuzzy subsemiring, also we obtain the property that guarantees the existence of ⋆s − fuzzy subsemiring so that it can always be formed. In addition, we obtain the properties of two (more) intersections ⋆s − fuzzy subsemiring, and based on these intersection properties, we obtain a subsemiring generated by ⋆s − fuzzy subsemiring.

Keywords: fuzzy subsemiring, fuzzy subset, intersection, semiring