Results 1 to 10 of about 186 (137)

On Fuzzy Corsini's Hyperoperations [PDF]

Journal of Applied Mathematics, 2012
We generalize the concept of C-hyperoperation and introduce the concept of F-C-hyperoperation. We list some basic properties of F-C-hyperoperation and the relationship between the concept of C-hyperoperation and the concept of F-C-hyperoperation. We also
Yuming Feng, P. Corsini
doaj   +6 more sources

The Path Hyperoperation [PDF]

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2014
A new class of hypergroupoids, deriving from binary relations, is presented, via the introduced path hyperoperation. Its properties are investigated and its connections with Graph Theory are also delineated.
Antonios Kalampakas, Stefanos Spartalis   +1 more
exaly   +3 more sources

Helix hyperoperation in teaching research [PDF]

Science & Philosophy, 2020
Interaction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically,
Souzana Vougioukli
doaj   +4 more sources

Fuzzy Graph Hyperoperations and Path-Based Algebraic Structures [PDF]

Mathematics
This paper introduces a framework of hypercompositional algebra on fuzzy graphs by defining and analyzing fuzzy path-based hyperoperations. Building on the notion of strongest strong paths (paths that are both strength-optimal and composed exclusively of
Antonios Kalampakas
doaj   +3 more sources

A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP [PDF]

Ratio Mathematica, 2005
The Hv-structures are hyperstructures where the equality is replaced by the non-empty intersection. The fact that this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined ...
Thomas Vougiouklis
doaj   +3 more sources

ON THE PATH HYPEROPERATION AND ITS CONNECTIONS WITH HYPERGRAPH THEORY [PDF]

Journal of Algebraic Systems, 2023
In this paper, we introduce a path hyperoperation associated with a hypergraph,which is an extension of the Corsini’s hyperoperation.We investigate some related properties and study relations betweenthe path hyperoperation and hypergraph theory.
R. Bayat Tajvar, M. Latifi
doaj   +2 more sources

Constructing a hyperoperation sequence-pisa hyperoperations

IOP Conference Series: Materials Science and Engineering, 2021
Abstract In the context of other hyperoperation sequences, a new sequence of operations is constructed. A review of its properties reveals dependences between pairs of numbers, and so the sibling numbers are established. Two theorems are proven and the connection to small base tetration is revealed.
exaly   +2 more sources

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

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 ...
Juš Kocijan, Irina Cristea, Michal Novak   +2 more
exaly   +3 more sources

Construction of k-Hyperideals by P-Hyperoperations

Ratio Mathematica, 2005
In this note we present a method to construction new k-hyperideals from given k-ideals of a semiring R by using of the P-hyperoperations. Then we investigate the relationship between them.
H. Hedayati, R. Ameri
doaj   +2 more sources

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