81. A new type of fuzzy subsemihypermodulesMorteza 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 This document has many files! More... |
82. Fechner, Zywilla (D-ULM-MFN) ; Szekelyhidi, Laszlo (H-LAJO-IM) Sine functions on hypergroups.(English summary) Arch. Math. (Basel) 106 (2016), no. 4, 371 - 382.Irina Elena Cristea, 2017, review, book review, critique Keywords: sine function, cosine function, locally compact hypergroup, functional equations on hypergroups Published in RUNG: 27.02.2017; Views: 4177; Downloads: 0 This document has many files! More... |
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88. 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: 4275; Downloads: 0 This document has many files! More... |
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90. On complementable semihypergroupsHossien 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 This document has many files! More... |