Extension of Fuzzy h-ideals in $\Gamma$-hemirings

TL;DR

This paper introduces the concept of extending fuzzy h-ideals within one-sided Gamma-hemirings, explores their properties, and characterizes the extension of prime fuzzy h-ideals.

Contribution

It presents a new framework for extending fuzzy h-ideals in Gamma-hemirings and provides a characterization of prime fuzzy h-ideals extension.

Findings

Extension of fuzzy h-ideals defined and analyzed.

Properties of the extension studied and established.

Characterization of prime fuzzy h-ideals extension provided.

Abstract

In this paper the concept of the extension of fuzzy h-ideals in one-sided $\Gamma$-hemiring is introduced and some of its properties are investigated. Specially we have studied the extension of prime fuzzy h-ideals in $\Gamma$-hemirings and gave its characterization.