Results 101 to 110 of about 199 (139)

On the γ n -complete hypergroups and K H hypergroups

Acta Mathematica Sinica, English Series, 2008
The 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, 2013
Soft 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, Abdul Razak Salleh   +1 more
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Canonicalv-hypergroups and ω-hypergroups

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract 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

1998
Hypergroups, 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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Fourier algebra of a hypergroup – II. Spherical hypergroups

Mathematische Nachrichten, 2008
AbstractWe in this article, introduce a class of hypergroups called ultraspherical hypergroups and show that the Fourier space of an ultraspherical hypergroup forms a Banach algebra under pointwise product. These hypergroups need not be commutative and include for example double coset hypergroups.
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Power group on hypergroup

2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010
In this paper, hypergroups are upgraded to their power sets. And the concepts, properties and part of conclusions of hypergroups are summarized.
Shengmin Ma, Honghai Mi, Lujing Huo
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On fuzzy hypergroups

1997
The paper deals with fuzzy sets and hyperstructures. It is a new growing field and the paper focuses on \(f\)-hypergroups. In a set equipped with an \(f\)-hyperoperation the associativity and the reproductivity are studied. The relations of the defined classes of fuzzy hypergroups are presented and equivalent conditions, on hypergroups defined on the ...
CORSINI, Piergiulio, TOFAN I.
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Commutative hypergroups associated with arbitrary hypergroups

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract Some classes of commutative hypergroups are associated with an arbitrary hypergroup.
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On the fuzzy grade of hypergroups

Fuzzy Sets and Systems, 2008
The paper deals with the connection of fuzzy sets and of join spaces with a hypergroupoid. For the last connection, introduced by Corsini in 2003, the second author obtained some results in 2007. In this paper the authors continue to obtain results in this direction.
Mirela Stefanescu, Irina Cristea
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Complementary hypergroups.

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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