Atanassov's intuitionistic fuzzy Γ – hyperideals of Γ – semihypergroups

Article type: Research Article

Authors: Ersoy, Bayram Ali | Davvaz, B.

Affiliations: Department of Mathematics, Yildiz Technical University, Istanbul, Turkey | Department of Mathematics, Yazd University, Yazd, Iran

Note: [] Corresponding author. Bayram Ali Ersoy, Department of Mathematics, Yildiz Technical University, 81270, Istanbul, Turkey. E-mails: [email protected]; [email protected]; [email protected]; (B. Davvaz).

Abstract: The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we apply this concept to Γ – semihypergroups and we introduce the notion of an intuitionistic fuzzy Γ – hyperideal of a Γ – semihypergroup. Then, we investigate some properties connected with intuitionistic fuzzy Γ – hyperideals in a Γ – semihypergroup.

Keywords: Hyperstructure, semihypergroup, Γ – semihypergroup, intuitionistic fuzzy set, Γ – hyperideal, intuitionistic fuzzy Γ – hyperideal

DOI: 10.3233/IFS-120654

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 2, pp. 463-470, 2013