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 et al. (2009) [B. Davvaz, P. Corsini, V. Leoreanu-Fotea, Fuzzy nn-ary subpolygroups, Computers & Mathematics with Applications 57 (2009) 141–152]. 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.