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Fuzzy Reduced Hypergroups [PDF]
Mathematics, 2020 The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case.
Milica Kankaras, Irina Cristea
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Hypergroup Deformations of Semigroups and Ramsey Hypergroups [PDF]
Semigroup Forum, 2017 We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $\mathbb{Z}_+$
Vishvesh Kumar +2 more
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An Overview of the Foundations of the Hypergroup Theory [PDF]
Mathematics, 2021 This paper is written in the framework of the Special Issue of Mathematics entitled “Hypercompositional Algebra and Applications”, and focuses on the presentation of the essential principles of the hypergroup, which is the prominent structure of ...
Christos Massouros, Gerasimos Massouros
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ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES [PDF]
Journal of Algebraic Systems, 2015 In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup.
Morteza Jafarpour, Fatemeh Alizadeh
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Hypergroups and Hypergroup Algebras [PDF]
Journal of Soviet Mathematics, 2011 The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
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Algebraic Quantum Hypergroups [PDF]
Advances in Mathematics, 2006 An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There
L. Delvaux, Alfons Van Daele
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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
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A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory [PDF]
The Scientific World Journal, 2014 Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem.
Hongjie Li, Yunqiang Yin
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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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$L^p$-Conjecture on Hypergroups [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where ...
Seyyed Mohammad Tabatabaie +1 more
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