Results 1 to 10 of about 329 (100)

An Overview of Topological and Fuzzy Topological Hypergroupoids [PDF]

Ratio Mathematica, 2017
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous or continuous. This concepts can be extend to the fuzzy case and a connection between the classical and the fuzzy (pseudo)continuous hyperoperations can be given.
Sarka Mayerova
doaj   +4 more sources

(Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches [PDF]

Ratio Mathematica, 2012
This paper aims to present a short survey on two numerical functions determined by a hypergroupoid, called the fuzzy grade and the intuitionistic fuzzy grade of a hypergroupoid.
Irina Cristea
doaj   +7 more sources

Hypergroupoids and C*-algebras [PDF]

, 2013
Let $G$ be a locally compact groupoid. If $X$ is a free and proper $G$-space, then $(X*X)/G$ is a groupoid equivalent to $G$. We consider the situation where $X$ is proper but no longer free.
Holkar, Rohit Dilip, Renault, Jean
core   +6 more sources

Regularity of Intuitionistic Fuzzy Relations on Hypergroupoids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of
Cristea Irina
doaj   +2 more sources

The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups [PDF]

Journal of Applied Mathematics, 2012
We introduce the notion of hypergroupoids (𝐻Bin(𝑋),□), and show that (𝐻Bin(𝑋),□) is a super-semigroup of the semigroup (Bin(𝑋),□) via the identification 𝑥↔{𝑥}. We prove that (𝐻Bin∗(𝑋),⊖,[∅]) is a 𝐵𝐶𝐾-algebra, and obtain several properties of (𝐻Bin∗(𝑋),□).
Jeong Soon Han, Hee Sik Kim, J. Neggers
doaj   +2 more sources

On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]

Journal of Hyperstructures, 2016
We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
doaj   +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 ...
Irina Cristea, Jus Kocijan, Michal Novák   +2 more
exaly   +3 more sources

Atanassov’s intuitionistic fuzzy index of hypergroupoids

Ratio Mathematica, 2012
In this work we introduce the concept of Atanassov’s intuitionistic fuzzy index of a hypergroupoid based on the notion of intuitionistic fuzzy grade of a hypergroupoid.
Mohsen Asghari-Larimi, Irina Cristea
doaj   +1 more source

Algebraic and geometric automorphisms of hypergroupoids

Le Matematiche, 1998
Two concepts of automorphism of a hypergroupoid are introduced; the first one preserve the algebraic structure of a hypergroupoid, the second one preserve the geometric structure that one can associate naturally to a hypergroupoid.
Giuseppe Gentile
doaj   +1 more source

The hypergroupoid of boundary conditions for local quantum observables [PDF]

, 2019
Marcel Bischoff, Karl-Henning Rehren
exaly   +2 more sources