(T,S)-Intuitionistic Fuzzy Hyperideals of Γ -Hyperrings

Authors

Serkan Onar, Department of Mathematical Engineering, Yildiz Technical University, Davutpas ̧a-Istanbul, TurkeyFollow
Bayram Ali Ersoy, Department of Mathematical Engineering, Yildiz Technical University, Davutpas ̧a-Istanbul, TurkeyFollow
Kostaq Hila, Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, AlbaniaFollow
Krisanthi Naka, Department of Mathematics and Computer Sciences, University of Gjirokastra, AlbaniaFollow

Author Country (or Countries)

Albania

Abstract

In this paper, we introduce (T,S)-intuitionistic fuzzy hyperideals of Γ-hyperrings. We study the (T,S)-intuitionistic fuzzy left and right hyperideals, (T,S)-intuitionistic fuzzy quasi-hyperideals and bi-hyperideals in Γ-hyperrings and some related properties are investigated. Regular Γ -hyperrings are characterized in terms of (T, S)-intuitionistic fuzzy quasi-hyperideals and (T, S)-intuitionistic fuzzy bi-hyperideals. We also introduce the (λ,δ)(T,S)-intuitionistic fuzzy bi-hyperideals in Γ-hyperrings and provide some of their properties.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150311

Recommended Citation

Onar, Serkan; Ali Ersoy, Bayram; Hila, Kostaq; and Naka, Krisanthi (2021) "(T,S)-Intuitionistic Fuzzy Hyperideals of Γ -Hyperrings," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 11.
DOI: http://dx.doi.org/10.18576/amis/150311
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/11