Fuzzy Krasner (m,n) ( m , n ) -hyperrings
Recently, Krasner (m,n) ( m , n ) -hyperrings were introduced and analyzed by Mirvakili and Davvaz. Krasner (m,n) ( m , n ) -hyperrings are a suitable generalization of Krasner hyperrings. This paper concerns a relationship between fuzzy sets and hyperstructure theory. It is a continuation of the ideas presented by Davvaz etal. (2009) [B. Davvaz, P. Corsini, V. Leoreanu-Fotea, Fuzzy n n -ary subpolygroups, Computers & Mathematics with Applications 57 (2009) 141152]. The aim of the paper is to introduce the notion of a fuzzy hyperideal of a Krasner (m,n) ( m , n ) -hyperring and to extend the fuzzy results to Krasner (m,n) ( m , n ) -hyperrings.
hyperring krasner hyperring fuzzy set hyperideal n n -ary operation n n n n n n n -ary hyperoperation n n n n n n n -ary polygroup n n n n n