FUZZY GRADE OF I.P.S. HYPERGROUPS OF ORDER 7

Authors

  • Irina Cristea Faculty of Mathematics, Al.I. Cuza University, 6600 Ias¸i, Romania, fax: 0040-232-201160
  • Piergiulio Corsini Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy, fax: 0039-0432-558499
Abstract:

i.p.s. hypergroups are canonical hypergroups such that$[forall(a,x),a+xni x]Longrightarrow[a+x=x].$i.p.s. hypergroups were investigated in [1], [2], [3], [4] and it was proved thatif the order is less than 9, they are strongly canonical (see [13]). In this paperwe obtain the sequences of fuzzy sets and of join spaces determined (see [8])by all i.p.s. hypergroups of order seven. For the meaning of the hypergroupsiH and the notations, see [7], [8].

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Journal title

volume 1  issue 2

pages  15- 32

publication date 2004-10-22

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