Results 141 to 150 of about 3,182 (186)
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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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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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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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2003
Starting from a given hypergroupoid \((H,\circ)\) and using the notion of the complete closure (of the non-empty hyperproduct of two arbitrary elements of \((H,\circ)\)), a new hyperproduct is defined on \(H\) and the concept of the complementary hypergroupoid is introduced. The authors study the properties of the previous complementary hyperstructures,
ROTA, Rosaria, PROCESI R.
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Starting from a given hypergroupoid \((H,\circ)\) and using the notion of the complete closure (of the non-empty hyperproduct of two arbitrary elements of \((H,\circ)\)), a new hyperproduct is defined on \(H\) and the concept of the complementary hypergroupoid is introduced. The authors study the properties of the previous complementary hyperstructures,
ROTA, Rosaria, PROCESI R.
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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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Rendiconti del Seminario Matematico e Fisico di Milano, 1977
Usando le proprieta dei caratteri di un gruppo finito come prototipo, una nuova nozione di un ipergruppo reversibileH e introdotta che prende nota dei gradi e delle molteplicita. Molte proprieta dei gruppi finiti abeliani hanno analogie con gli ipergruppi reversibili.
McMullen, J. R., Price, J. F.
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Usando le proprieta dei caratteri di un gruppo finito come prototipo, una nuova nozione di un ipergruppo reversibileH e introdotta che prende nota dei gradi e delle molteplicita. Molte proprieta dei gruppi finiti abeliani hanno analogie con gli ipergruppi reversibili.
McMullen, J. R., Price, J. F.
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Commutative hypergroups associated with arbitrary hypergroups
Journal of Discrete Mathematical Sciences and Cryptography, 2003Abstract Some classes of commutative hypergroups are associated with an arbitrary hypergroup.
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