Fuzzy \(H_v\)-groups. (English) Zbl 0935.20065

The fuzzy subhypergroups of a hypergroup and the fuzzy \(H_v\)-group of an \(H_v\)-group are defined and studied in this paper. The most interesting result is the main theorem concerning the fundamental group of the underlying \(H_v\)-group. This result proves, once more, how interesting the fundamental relations in the study of hyperstructures are.


20N20 Hypergroups
20N25 Fuzzy groups
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