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64. A new type of fuzzy subsemihypermodulesMorteza Norouzi, Irina Cristea, 2017, original scientific article Abstract: In this paper, combining the notions of “belongingness” and “quasi coincidence” of fuzzy points and fuzzy subsets, a new type of fuzzy subsemihypermodules, namely (∝, ⋐k)-fuzzy subsemihypermodules of general hypermodules, is introduced and characterized, using the “max” operator. Their properties and connections with other (α, β)-fuzzy subsemihypermodules are investigated. Found in: osebi Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule Published: 01.03.2017; Views: 1399; Downloads: 1
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67. 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. Found in: osebi Keywords: Fuzzy set, fuzzy subhypergroup, residuate set, t-norm Published: 24.06.2016; Views: 2067; Downloads: 0
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69. A method to compute the number of regular reversible Rosenberg hypergroupAli Tavakoli, Morteza Jafarpour, Irina Cristea, 2016, original scientific article Abstract: The purpose of this note is the study of the hypergroups
associated with binary relations. New types of matrices, called i-very good and regular reversible matrices, are introduced in order to give some properties of the Rosenberg hypergroups related to them. A program written in $MATLAB$ computes the number of these hypergroups up to isomorphism. Found in: osebi Keywords: hypergroup, binary relation, regular reversible
hypergroup, Boolean matrix Published: 02.09.2016; Views: 2161; Downloads: 0
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