Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

Krisanthi Naka; Kostaq Hila; Serkan Onar; Bayram Ali Ersoy

doi:10.2478/ausm-2019-0023

Abstract

In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(λ, µ)-fuzzy bi-hyperideals in Γ-hyperrings and investigate some of their properties.

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Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

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