Fuzzy hyperideals in semihypergroups. (English) Zbl 1097.20524

Davvaz, B.

Ital. J. Pure Appl. Math. 8, 67-74 (2000).

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.

Reviewer: Mirela Ştefănescu (Constanţa)

MSC:

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

Keywords:

right hyperideals; semihypergroups; Green relations