Results 11 to 20 of about 189 (116)
Applications of (Neutro/Anti)sophications to Semihypergroups [PDF]
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
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Properties of n-ary hypergroups relevant for modelling trajectories in HD maps
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
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The Reducibility Concept in General Hyperrings
By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
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Some New Directions in Soft (Fuzzy) Hypermodules
We introduce and study some new directions on soft hypermodules and soft fuzzy hypermodules. In this regard, we apply soft set theory to hypermodules to introduce the classes of soft hypermodules and soft fuzzy hypermodules and obtain their basic ...
M. Norouzi, R. Ameri
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Note on Isomorphism Theorems of Hyperrings [PDF]
There are different notions of hyperrings (𝑅,+,⋅). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan, Arjunan Asokkumar
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Derived Hyperstructures from Hyperconics
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +5 more
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Redox reactions as experimental examples of ternary weak algebraic hyperstructures
A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions.
Bijan Davvaz +2 more
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Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi
This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah +2 more
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Vougiouklis Contributions in the Field of Algebraic Hyperstructures [PDF]
Thomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. $H_v$-structures are some of his main contributions.
Bijan Davvaz
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An Overview of Topological and Fuzzy Topological Hypergroupoids [PDF]
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous or continuous. This concepts can be extend to the fuzzy case and a connection between the classical and the fuzzy (pseudo)continuous hyperoperations can be given.
Sarka Mayerova
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