Results 31 to 40 of about 199 (139)
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
On the semi‐sub‐hypergroups of a hypergroup [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we study some properties of the semi‐sub‐hypergroups and the closed sub‐hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin′s hypergroup. We also present Helly′s Theorem as a corollary of a more general Theorem.
openaire +3 more sources
2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley +1 more source
Complete parts and subhypergroups in reversible regular hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V. +3 more
doaj +1 more source
Proceedings of the 17th ACM international conference on Multimedia, 2009 The amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content~+~relations social media ...
Radu Andrei Negoescu +4 more
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Cyclicity in EL–Hypergroups [PDF]
Symmetry, 2018 In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural ...
Michal Novák +2 more
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Examples of NeutroHyperstructures on Biological Inheritance [PDF]
Neutrosophic Sets and Systems, 2023 In 1934, Marty introduced the concept of hyperstructures, which serves as a generalization of algebraic structures. Hyperstructures have applications in various fields, including biology, where they prove useful for analyzing the different types of ...
Fakhry Asad Agusfrianto +3 more
doaj +1 more source
Vague Soft Hypergroups and Vague Soft Hypergroup Homomorphism [PDF]
Advances in Fuzzy Systems, 2014 We introduce and develop the initial theory of vague soft hyperalgebra by introducing the novel concept of vague soft hypergroups, vague soft subhypergroups, and vague soft hypergroup homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Ganeshsree Selvachandran +1 more
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On soft topological hypergroups [PDF]
Journal of Hyperstructures, 2020 Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj +1 more source
Properties of n-ary hypergroups relevant for modelling trajectories in HD maps
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán +2 more
doaj +1 more source