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Fuzzy hyperideals in semihypergroups. (English) Zbl 1097.20524

The author introduces naturally the concepts of right/left/two-sided hyperideals of a semihypergroup. Then the Green relations associated to such a hyperideal are defined. The definition of the radical of a fuzzy hyperideal is given and some properties of all the notions introduced are considered.

MSC:

20N25 Fuzzy groups
20N20 Hypergroups
20M12 Ideal theory for semigroups
03E72 Theory of fuzzy sets, etc.
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