Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups
Mathematics, 2022 The combination of two elements in a group structure is an element, while, in a hypergroup, the combination of two elements is a non-empty set. The use of hypergroups appears mainly in certain subclasses.
Osman Kazancı +2 more
doaj +4 more sources
The algebraic hyperstructure of elementary particles in physical theory [PDF]
Indian Journal of Physics, 2010 Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva +8 more
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Helix-Hopes on Finite Hyperfields [PDF]
Ratio Mathematica, 2016 Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations.
Thomas Vougiouklis, Souzana Vougiouklis
doaj +4 more sources
Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals. [PDF]
ScientificWorldJournal, 2015 We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Selvachandran G, Salleh AR.
europepmc +5 more sources
Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures [PDF]
Mathematics, 2019 The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea +2 more
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On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2014 A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj +3 more sources
Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]
Mathematics and Computational SciencesIn this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani +2 more
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Redox reactions as experimental examples of ternary weak algebraic hyperstructures
Bulletin of Computational Applied Mathematics, 2016 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
doaj +2 more sources
On Refined Neutrosophic Canonical Hypergroups [PDF]
Neutrosophic Sets and Systems, 2021 Refinement of neutrosophic algebraic structure or hyperstructure allows for the splitting of the indeterminate factor into different sub-indeterminate and gives a detailed information about the neutrosophic structure/hyperstructure considered. This paper
M.A. Ibrahim +3 more
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A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyperstructures [PDF]
, 2017 Fundamental structures are the main tools in the study of hyperstructures. Fundamental equivalence relations link hyperstructure theory to the theory of corresponding classical structures. They also introduce new hyperstructure classes.The present paper
Antampoufis, Nikolaos +1 more
core +14 more sources