On the fuzzy grade of hypergroups

  • Authors:

  • M. Ştefănescu;I. Cristea

  • Affiliations:

  • Faculty of Mathematics and Informatics, “Ovidius” University, Bd. Mamaia, No. 124, 900527 Constanţa, Romania;Faculty of Mathematics, “Al.I. Cuza” University, Bd. Carol I, No. 11, 700506 Iaşi, Romania

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

In some previous papers, the second author studied the possibility to associate a sequence of membership functions and of join spaces with a hypergroupoid H. Here we establish a sufficient condition in order to have two consecutive associated join spaces ^iH and ^i^+^1H non-isomorphic. We find also a property of the quotient hypergroup determined by the join space ^iH and the relation associated with the fuzzy set @m@? and finally, we determine a necessary and sufficient condition for the join space ^iH in order to be a reduced hypergroup.