Results 11 to 20 of about 418 (102)

Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics
The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +2 more sources

Hyperstructure Theory Applied to BF-Algebras [PDF]

open access: goldSymmetry, 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

Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

open access: yesMathematics and Computational Sciences
In 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
doaj   +2 more sources

Neutrosophic Quadruple Algebraic Hyperstructures

open access: greenSSRN Electronic Journal, 2023
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
openalex   +2 more sources

On Refined Neutrosophic Algebraic Hyperstructures I [PDF]

open access: greenInternational 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.
Agboola, A, a A   +3 more
  +7 more sources

A brief survey on algebraic hyperstructures: Theory and applications [PDF]

open access: diamondJournal 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
openalex   +2 more sources

Computation in Algebraic Hyperstructures [PDF]

open access: goldComputation
The concept of the relation β plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of β to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure β★.
Yuming Feng   +2 more
openalex   +2 more sources

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