Atanassov’s Intuitionistic Fuzzy Hyperrings (rings) Based on Intuitionistic Fuzzy Universal Sets
Bijn Davvaz, Karema S. Abdulmula and Abdul Razak Salleh
The aim of this paper is to present a formulation of intuitionistic fuzzy hyperring based on the notion of intuitionistic fuzzy universal set as a direct generalization of fuzzy hyperring based on the notion of fuzzy universal set. A relation between intuitionistic fuzzy hyperring based on intuitionistic fuzzy universal set and fuzzy hyperring based on fuzzy universal set is obtained in terms of induction and correspondence and the relation between the intuitionistic fuzzy subhyperring (hyperideals) and the classical fuzzy hyperring in the sense of Davvaz is obtained.
Keywords: Intuitionistic fuzzy universal set, intuitionistic fuzzy hyperoperation, fuzzy hyperring, intuitionistic fuzzy hyperring.