Results 1 to 10 of about 39 (38)
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 +2 more
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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
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Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]
Mathematics and Computational SciencesIn 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
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An Overview of Topological and Fuzzy Topological Hypergroupoids
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
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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
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APPLICATIONS OF ROUGH SOFT TO EXTENSIONS SEMIHYPERGROUPS INDUCED BY OPERATORS AND CORRESPONDING DECISION-MAKING METHODS [PDF]
Journal of Algebraic SystemsIn this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. We propose the notion of lower and upper approximations concerning a special semihypergroup and obtain some properties ...
Noreh Rakhsh-Khorshid +1 more
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The associated hyperringoid to a Krasner hyperring
Journal of Taibah University for Science, 2018 “Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi +2 more
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The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups
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
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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
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(Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches
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
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