<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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<italic>-</italic>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.</p></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.

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

Department of Mathematics and Computer Sciences, Faculty of Natural Sciences

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm"}

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...

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

Published Online: Feb 27, 2020

Page range: 306 - 331

Received: Jul 10, 2018

DOI: https://doi.org/10.2478/ausm-2019-0023

Keywords
Γ-hyperrings, t-norm, T-fuzzy (resp. left, right) hyperideal, T-fuzzy quasi(bi)-hyperideal

© 2019 Krisanthi Naka et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Feb 27, 2020

Page range: 306 - 331

Received: Jul 10, 2018

DOI: https://doi.org/10.2478/ausm-2019-0023

KeywordsΓ-hyperrings, t-norm, T-fuzzy (resp. left, right) hyperideal, T-fuzzy quasi(bi)-hyperideal

© 2019 Krisanthi Naka et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Γ-hyperrings, t-norm, T-fuzzy (resp. left, right) hyperideal, T-fuzzy quasi(bi)-hyperideal