Union and Intersection Fuzzy Subhypergroups


Authors

Esmail Ranjbar-Yanehsari - Department of Mathematics, Faculty of Sciences, Gorgan Branch,Islamic Azad University,Gorgan, Iran. Mohsen Asghari-Larimi - Department of Mathematics, GolestanUniversity, Gorgan, Iran.


Abstract

In this paper, some properties of union and intersection fuzzy subhypergroups are discussed. Generally, intersection family of fuzzy subhypergroups of a hypergroup is fuzzy subhypergroup, but, union family of fuzzy subhypergroups of a hypergroup is not fuzzy subhypergroup. We give some conditions such that this family is fuzzy subhypergroup.


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