Results 131 to 140 of about 922 (170)
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2022
The authors give a new construction of a hypergroup starting from a hypergroup \((H , \circ )\) and a connecting nonempty set \(S\) with the property that \(x\in S\circ y\Longleftrightarrow y\in S\circ x\). Using the same ideas as in the case of groups, they define generalized Cayley graph over \((H , S)\), denoted by \(GCG(H, S)\), to be the simple ...
Al Tahan, M., Davvaz, B.
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The authors give a new construction of a hypergroup starting from a hypergroup \((H , \circ )\) and a connecting nonempty set \(S\) with the property that \(x\in S\circ y\Longleftrightarrow y\in S\circ x\). Using the same ideas as in the case of groups, they define generalized Cayley graph over \((H , S)\), denoted by \(GCG(H, S)\), to be the simple ...
Al Tahan, M., Davvaz, B.
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Isomorphisms of hypergroups and of n-hypergroups with applications
Soft Computing, 2008Connections between binary and some \(n\)-ary hypergroups are described. Finally are given conditions under which two join spaces associated with lattices, defined on the same set, are isomorphic.
Violeta Leoreanu Fotea +1 more
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Transposition hypergroups and complement hypergroups
Journal of Discrete Mathematical Sciences and Cryptography, 2003Abstract We introduce the complement of a hyperoperation. We provide an example to reveal that the complement of a transposition hypergroup may be a transposition hypergroup. However, we show that the complement of a hypergroup in general is not a hypergroup.
A. Iranmanesh, A. H. Babareza
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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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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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Journal of Lie Theory, 2013
Summary: We define Lie hypergroups and study their embedded and immersed subhypergroups. In particular we investigate the properties of the connected component of the identity, the universal covering and fundamental group of a Lie hypergroup. We also study the quotients and orbits in a Lie hypergroup.
Amini, Massoud +2 more
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Summary: We define Lie hypergroups and study their embedded and immersed subhypergroups. In particular we investigate the properties of the connected component of the identity, the universal covering and fundamental group of a Lie hypergroup. We also study the quotients and orbits in a Lie hypergroup.
Amini, Massoud +2 more
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On the γ n -complete hypergroups and K H hypergroups
Acta Mathematica Sinica, English Series, 2008The notion of the \(\gamma_n\)-complete hypergroups is introduced and studied. This notion is similar to the \(n\)-complete hypergroups. Several results and examples on the topic are presented. The main result is: If a hypergroup is \(\gamma_n\)-complete then \(\gamma^*=\gamma_n\). The paper also presents results on the \(K_H\)-hypergroups.
Davvaz, Bijan, Karimian, M.
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Soft hypergroups and soft hypergroup homomorphism
AIP Conference Proceedings, 2013Soft set is a general mathematical tool for dealing with uncertainties and imprecision. Many complicated problems in economics, engineering, environment, social science, medical science and other fields involve uncertain data. These problems cannot be solved using existing classical methods such as fuzzy set theory and rough set theory.
Ganeshsree Selvachandran +1 more
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Canonicalv-hypergroups and ω-hypergroups
Journal of Discrete Mathematical Sciences and Cryptography, 2003Abstract The concept of canonical hypergroup is extended to feebly associative hypergroupoids. Several property of the canonical v-hypergroups and ω-hypergroups are given and problems of embedding are studied.
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Hypergroups and Signed Hypergroups
1998Hypergroups, as I understand them, have been around since the early 1970’s when Charles Dunkl, Robert Jewett and Rene Spector independently created locally compact hypergroups with the purpose of doing standard harmonic analysis. As one would expect, there were technical differences in their definitions.
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