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

Naka, Krisanthi; Hila, Kostaq; ONAR, Serkan; ERSOY, Bayram

doi:10.2478/ausm-2019-0023

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

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Naka K., Hila K., ONAR S., ERSOY B. A.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, vol.11, no.2, pp.306-331, 2019 (ESCI)

Publication Type: Article / Article
Volume: 11 Issue: 2
Publication Date: 2019
Doi Number: 10.2478/ausm-2019-0023
Journal Name: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
Page Numbers: pp.306-331
Yıldız Technical University Affiliated: No

Abstract

In this paper, we study the Gamma-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 Gamma-hyperrings in and some related properties are investigated. Regular Gamma-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(lambda, mu)-fuzzy Gamma-hyperideals in and investigate some of their properties.