On fuzzy h-ideals in h-regular $\Gamma$-hemiring and h-duo $\Gamma$-hemiring

TL;DR

This paper explores fuzzy h-ideals in $$-hemirings, introducing new concepts like h-intra-hemiregularity and fuzzy h-duo $$-hemirings, and investigates their properties and characterizations.

Contribution

It introduces and studies fuzzy h-bi-ideals, fuzzy h-quasi-ideals, fuzzy h-interior ideals, and new regularity notions in $$-hemirings, providing foundational characterizations.

Findings

Characterization of h-intra-hemiregularity and h-quasi-hemiregularity.

Introduction of fuzzy h-duo $$-hemiring and its properties.

Relationships between fuzzy h-ideals and regularity conditions.

Abstract

In this paper, fuzzy h-bi-ideals, fuzzy h-quasi-ideals and fuzzy h-interior ideals of a $\Gamma$-hemiring are studied and some related properties are investi- gated. The notions of h-intra-hemiregularity and h-quasi-hemiregularity of a $\Gamma$-hemiring are introduced and studied along with h-hemiregularity and their characterizations in terms of fuzzy h-ideals are also obtained. The concept of fuzzy h-duo $\Gamma$-hemiring is introduced and some of its characterizations are obtained.