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Fuzzy sets and non-complete \(1\)-hypergroups. (English) Zbl 1113.20059

The \(1\)-hypergroups were introduced by the first author of this paper in 1983. Both authors presented several results on the subject in connection with fuzzy sets. In the present paper the authors obtain a lot of new results on the topic under a new connection introduced by the first author in 2003.

MSC:

20N20 Hypergroups
20N25 Fuzzy groups
03E72 Theory of fuzzy sets, etc.
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