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


Ersoy B. A. , Onar S. , Hila K., Naka K.

Applied Mathematics & Information Sciences, vol.15, no.3, pp.329-3423, 2021 (Refereed Journals of Other Institutions)

  • Publication Type: Article / Article
  • Volume: 15 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.18576/amis/150311
  • Title of Journal : Applied Mathematics & Information Sciences
  • Page Numbers: pp.329-3423

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.