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Fuzzy Subhypergroups DegreeIrina Elena Cristea, 2016, original scientific article
Abstract: In this paper we define the degree to which a fuzzy subset on a hypergroup is a fuzzy subhypergroup by means of the residuate sets, constructed using the minimum t-norm. We give also some properties of this new index connected with the intersection of a family of fuzzy subhypergroups, and respectively with the homomorphic image/preimage of a fuzzy subset. We conclude with addressing new problems related with intuitionistic fuzzy subhypergroups and fuzzy subpolygroups in the framework of our discussion.
Keywords: Fuzzy set, fuzzy subhypergroup, residuate set, t-norm
Published in RUNG: 24.06.2016; Views: 4922; Downloads: 0
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