FUZZY GRADE OF THE COMPLETE HYPERGROUPS

نویسندگان

  • Carmen Angheluta Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania
  • Irina Cristea Center for Systems and Information Technologies, University of Nova Gorica, Vipavska 13, SI-5000, Nova Gorica, Slovenia
چکیده مقاله:

This paper continues the study of the connection between hyper- groups and fuzzy sets, investigating the length of the sequence of join spaces associated with a hypergroup. The classes of complete hypergroups and of 1-hypergroups are considered and analyzed in this context. Finally, we give a method to construct a nite hypergroup with the strong fuzzy grade equal to a given natural number

منابع مشابه

fuzzy grade of the complete hypergroups

this paper continues the study of the connection between hyper- groups and fuzzy sets, investigating the length of the sequence of join spaces associated with a hypergroup. the classes of complete hypergroups and of 1-hypergroups are considered and analyzed in this context. finally, we give a method to construct a nite hypergroup with the strong fuzzy grade equal to a given natural number

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fuzzy grade of i.p.s. hypergroups of order 7

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 ...

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عنوان ژورنال

دوره 9  شماره 6

صفحات  43- 56

تاریخ انتشار 2012-12-02

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