Results 1 to 10 of about 418 (102)
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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Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups [PDF]
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 +3 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
doaj +6 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 +7 more sources
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 +3 more sources
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
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 +17 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
doaj +1 more source
On soft topological hypergroups [PDF]
Journal of Hyperstructures, 2020 Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj +1 more source
Soft set theoretic approach to hyperstructtures [PDF]
Journal of Hyperstructures, 2016 In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
doaj +1 more source