Results 1 to 10 of about 121 (85)
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 +8 more sources
Neutrosophic quadruple algebraic hyperstructures [PDF]
SSRN Electronic Journal, 2017 The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
A. A. A. Agboola +2 more
+5 more sources
Hyperstructure Theory Applied to BF-Algebras [PDF]
Symmetry, 2023 This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built.
G. Muhiuddin +3 more
openalex +2 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 +2 more sources
On Refined Neutrosophic Algebraic Hyperstructures I [PDF]
International Journal of Neutrosophic Science, 2020 Given any algebraic hyperstructure (X, ∗, ◦), the objective of this paper is to generate a refined neutrosophic algebraic hyperstructure (X(I1, I2), ∗', ◦') from X, I1 and I2 and study refined neutrosophic Krasner hyper-rings in particular.
A. A. A. Agboola +3 more
openalex +5 more sources
A brief survey on algebraic hyperstructures: Theory and applications [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2020 I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature.
Bijan Davvaz
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Hyperstructures of affine algebraic group schemes [PDF]
Journal of Number Theory, 2016 We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections.
Jaiung Jun
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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. Algebraic hyperstructure theory has a multiplicity of applications to other disciplines.
Akbar Dehghan Nezhad +2 more
+6 more sources