Results 81 to 90 of about 324 (107)

Associativity Test in Hypergroupoids

36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
To test whether a groupoid is a semigroup can be tedious and the same difficulty arises for partial hypergroupoids. We adapt Light’s associativity test to partial hypergroupoids and for finite hypergroupoids express it in matricial terms.
M. Miyakawa, I.G. Rosenberg, H. Tatsumi
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FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS

2009
On a hypergroupoid one can define a topology such that the hy- peroperation is pseudocontinuous or continuous. In this paper we extend this concepts to the fuzzy case. We give a connection between the classical and the fuzzy (pseudo)continuous hyperoperations.
Cristea, Irina, Hoskova, Sarka
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An overview of topological hypergroupoids

Journal of Intelligent & Fuzzy Systems, 2018
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous. The purpose of this paper is to study examples of topological hypergroupoids. We show that there is no relation (in general) between pseudotopological and strongly pseudotopological hypergroupoids. In particular, we present a topological hypergroupoid that does
Al Tahan, Madeline, Hošková-Mayerová, Šarka, Davvaz, Bijan   +2 more
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Non-commutative hypergroupoid obtained from simple graphs

2023
Summary: The purpose of this paper is the study of non-weak commutative hypergroups associated with hypergraphs. In this regards, we construct a hyperoperation on the set of vertices of hypergraph and obtain some results and characterizations of them. Moreover, according to this hyperoperation, we investigate conditions under which the hypergroupoid is
Mirvakili, Saeed, Faraji, Mina, Ghiasvand, Peyman, Hamidi, Mohammad   +3 more
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Results on generalized intuitionistic fuzzy hypergroupoids

Journal of Intelligent & Fuzzy Systems, 2019
 In this paper, we introduce and study the concept of generalized intuitionistic fuzzy hypergraph (shortly, g-if-hypergraph) and establish a relation between generalized if-hypergraph and if-hyperstructures. Further, we introduce partial if-hypergroupoid and extend the results for higher order if-hypergroupoids and study their properties.
Konwar, Nabanita, Davvaz, Bijan, Debnath, Pradip   +2 more
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Isomorphisms of Finite Hypergroupoids

1988
Summary We characterize a particular class of finite commutative hypergroupoids, called minimal hypergroupoids , such that for every finite commutative hypergroupoid H, there exists one and only one minimal hypergroupoid isomorphic to H. We denote it with MIN(H).
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A note on quasi-Steiner hypergroupoids

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract The class of hyperstructures called quasi-Steiner hypergroupoids are studied and their group of automorphisms are found in some interesting cases. In particular, there exist quasi-Steiner hypergroupoids (H, ○) which group of automorphisms is exactly the group of automorphisms fixing a point and a line in the geometric space associated to (H, ○)
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\(m\)-complete hypergroupoids

1999
The definition of \(m\)-complete and feebly \(m\)-complete hypergroupoids is given. Two sufficient conditions for the existence of feebly associative hypergroups are obtained. Properties and examples on this class of hyperstructures are also studied.
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Hypergraphs, hypergroupoids and hypergroups.

1997
A hypergroupoid is a pair \(\langle H,\circ\rangle\) consisting of a nonempty set \(H\) and a binary multivalued operation, called hyperoperation. A quasi-hypergroup is a hypergroupoid \(\langle H,\circ\rangle\) satisfying \(x\circ H=H=H\circ x\), for each \(x\in H\).
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Nerves of Trigroupoids as Duskin-Glenn’s 3-Hypergroupoids

Applied Categorical Structures, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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