An overview of the foundations of the hypergroup theory

C Massouros, G Massouros - Mathematics, 2021 - mdpi.com
This paper is written in the framework of the Special Issue of Mathematics entitled
“Hypercompositional Algebra and Applications”, and focuses on the presentation of the …

Factorizable ordered hypergroupoids with applications

X Shi, H Guan, M Akhoundi… - Mathematical Problems in …, 2021 - Wiley Online Library
In this study, we propose the concept of factorizable ordered hypergroupoids
(semihypergroups) and present several of its properties. Our goal is to construct ordered …

State Machines and Hypergroups

GG Massouros, CG Massouros - Mathematics, 2022 - mdpi.com
State machines are a type of mathematical modeling tool that is commonly used to
investigate how a system interacts with its surroundings. The system is thought to be made …

Hyperstructure Theory Applied to BF-Algebras

G Muhiuddin, N Abughazalah, A Mahboob, AG Alotaibi - Symmetry, 2023 - mdpi.com
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 …

On factorizable semihypergroups

D Heidari, I Cristea - Mathematics, 2020 - mdpi.com
In this paper, we define and study the concept of the factorizable semihypergroup, ie, a
semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups …

Introduction to dependence relations and their links to algebraic hyperstructures

I Cristea, J Kocijan, M Novák - Mathematics, 2019 - mdpi.com
The aim of this paper is to study, from an algebraic point of view, the properties of
interdependencies between sets of elements (ie, pieces of secrets, atmospheric variables …

Transposition regular TA-groupoids and their structures

X An, X Zhang - Axioms, 2022 - mdpi.com
Tarski associative groupoid (TA-groupoid) is a kind of non-associative groupoid satisfying
Tarski associative law. In this paper, the new notions of transposition regular TA-groupoid …

[PDF][PDF] Reducibility in Corsini hypergroups

M Kankaras - Analele ştiinţifice ale Universităţii" Ovidius" Constanţa …, 2021 - sciendo.com
In this paper, we study the reducibility property of special hypergroups, called Corsini
hypergroups, named after the mathematician who introduced them. The concept of …

Generalized Cayley graphs over hypergroups and their graph product.

M Al-Tahan, B Davvaz - Discrete Mathematics, Algorithms & …, 2025 - search.ebscohost.com
Cayley graph is a graph that encodes the abstract structure of a group. It gives a way of
encoding information about a group in a graph. On the other hand, hypergroup is a …

Special Issue on Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

I Cristea - Symmetry, 2022 - mdpi.com
Symmetry plays a fundamental role in our daily lives and in the study of the structure of
different objects in physics, chemistry, biology, mathematics, architecture, arts, sociology …