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81.
A new type of fuzzy subsemihypermodules
Morteza Norouzi, Irina Elena 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.
Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Published in RUNG: 01.03.2017; Views: 3471; Downloads: 1
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82.
83.
A class of hyperlattices induced by quasi-ordered semigroups
Irina Elena Cristea, Michal Novak, Stepan Krehlik, 2017, published scientific conference contribution

Abstract: In this paper we study hyperstructure generalizations of lattices. We give conditions for EL-semihypergroups to be H_v-semilattices, hypersemilattices or hyperlattices. We also study some of their special elements.
Keywords: join hyperlattice, hyperlattice, hypersemilattice, quasi-ordered semigroup
Published in RUNG: 06.02.2017; Views: 3915; Downloads: 1
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84.
How to use the ordinary mathematical models in the military field
Marcelino Belecciu, Camelia Ciobanu, Irina Elena Cristea, 2016, original scientific article

Keywords: graph, optimal length, minimum length
Published in RUNG: 03.01.2017; Views: 3982; Downloads: 237
.pdf Full text (512,41 KB)

85.
A method to compute the number of regular reversible Rosenberg hypergroup
Irina Elena Cristea, Morteza Jafarpour, Ali Tavakoli, 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.
Keywords: hypergroup, binary relation, regular reversible hypergroup, Boolean matrix
Published in RUNG: 02.09.2016; Views: 4572; Downloads: 0
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86.
87.
88.
Fuzzy Subhypergroups Degree
Irina 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: 4275; Downloads: 0
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89.
On dihedral hypergroups
Irina Elena Cristea, Morteza Jafarpour, F. Alizadeh, 2014, original scientific article

Keywords: dihedral group, regular hypergroup, reversible hypergroup
Published in RUNG: 16.06.2016; Views: 4002; Downloads: 18
URL Link to full text

90.
On complementable semihypergroups
Hossien Aghabozorgi, Irina Elena Cristea, Morteza Jafarpour, 2016, original scientific article

Abstract: n this paper, we first introduce the notion of complementable semihypergroup, proving that the classes of simplifiable semigroups, groups, and complete hypergroups are examples of complementable semihypergroups. Then we define when two semihypergroups are disjoint and find examples of such semihypergroups. Finally, we discuss on the complementable property of $K_H$-hypergroups.
Keywords: (semi)hypergroup, complementable semihypergroup, disjoint semihypergroup, $K_H$-hypergroup
Published in RUNG: 03.03.2016; Views: 4150; Downloads: 1
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