Results 1 to 10 of about 268 (104)
Atanassov’s intuitionistic fuzzy index of hypergroupoids [PDF]
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
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Directed Graphs representing isomorphism classes of C-Hypergroupoids [PDF]
Ratio Mathematica, 2012 We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to ...
Antonios Kalampakas +2 more
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Algebraic and geometric automorphisms of hypergroupoids [PDF]
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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Hypergroupoids and C*-algebras [PDF]
Comptes Rendus. Mathématique, 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
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Factorizable Ordered Hypergroupoids with Applications [PDF]
Mathematical Problems in Engineering, 2021 In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi +3 more
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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
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Induced Representations and Hypergroupoids [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2014 We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a correspondence.
Renault, Jean
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Regularity of Intuitionistic Fuzzy Relations on Hypergroupoids [PDF]
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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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
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Neutrosophic Hypercompositional Structures defined by Binary Relations [PDF]
Neutrosophic Sets and Systems, 2014 The objective of this paper is to study neutrosophic hypercompositional structures arising from the hypercompositions derived from the binary relations on a neutrosophic set.
A.A.A. Agboola, S.A. Akinleye
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