Fuzzy Krasner (m,n)-hyperrings

Authors:
B. Davvaz
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 16
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Abstract

Recently, Krasner (m,n)-hyperrings were introduced and analyzed by Mirvakili and Davvaz. Krasner (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 n-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)-hyperring and to extend the fuzzy results to Krasner (m,n)-hyperrings.