Intuitionistic Fuzzy Sets and Join Spaces Associated with Ary Membership Functions
- Department of Mathematics, GolestanUniversity, Gorgan, Iran.
- Dipartimento di Matematica e Informatica, ViadelleScienze 206, 33100 Udine, Italy.
- Department of Mathematics,Faculty of Sciences, Gorgan Branch,Islamic Azad University,Gorgan, Iran.
In this paper, we associate finite hyperstructures with fuzzy sets endowed with n-ary
membership functions and analyze the properties of this new hyperstructures. We prove that the
new hyperstructure is a commutative hypergroup, but generally it is not a join space. We give some
conditions such that the hypergroup has this property. In particular, we investigate some natural
equivalence relations on the set of all intuitionistic fuzzy sub-hypergroups of a hypergroup.
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Mohsen Asghari-Larimi, Piergiulio Corsini, Esmail Ranjbar-yanehsari, Intuitionistic Fuzzy Sets and Join Spaces Associated with Ary Membership Functions , Journal of Mathematics and Computer Science, 5 (2012), no. 2, 115-125
Asghari-Larimi Mohsen, Corsini Piergiulio, Ranjbar-yanehsari Esmail, Intuitionistic Fuzzy Sets and Join Spaces Associated with Ary Membership Functions . J Math Comput SCI-JM. (2012); 5(2):115-125
Asghari-Larimi, Mohsen, Corsini, Piergiulio, Ranjbar-yanehsari, Esmail. "Intuitionistic Fuzzy Sets and Join Spaces Associated with Ary Membership Functions ." Journal of Mathematics and Computer Science, 5, no. 2 (2012): 115-125
- Join space
- Fuzzy subhypergroup
- Intuitionistic fuzzy subhypergroups.
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