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Atanassov’s Intuitionistic Fuzzy Grade of I.P.S. Hypergroups of Order 7
B. Davvaz, E. Hassani Sadrabadi and I. Cristea

With any hypergroupoid H one associates a sequence of nonisomorphic join spaces and Atanassov’s intuitionistic fuzzy sets. Sometimes this sequence is cyclic. For any natural number n, there is a hypergroup such that the length of its above sequence equals n. In this paper we determine these sequences associated with all i.p.s. hypergroups of order seven, proving that the longest obtained sequence is formed by 5 non-isomorphic join spaces.

Keywords: Fuzzy set, Atanassov’s intuitionistic fuzzy set, i.p.s. hypergroup, fuzzy grade, Join space.

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