## 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.

### Keywords:

right hyperideals; semihypergroups; Green relations