Results 111 to 120 of about 398 (137)

Hypergroupoids and fundamental relation

1994
In this work we study hypergroupoids whose β-relation is transitive, by using the fundamental relations β, β*, δ and δ*. We take several examples, finding the necessary and sufficient conditions such that a quasi-hypergroup has β*=β=δ=δ* (i.e. it is of kind T_1).
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Partial hypergroupoids of class two.

1994
The author studies the finite partial hypergroupoids, such that there are exactly two pairs of elements, which define non-empty hyperproducts. He solves the combinatorial problem of finding, up to isomorphism, the number of the aforesaid hyperstructure.
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Isomorphism classes in finite partial hypergroupoids of class two

1996
Let \(H\) be a set with \(n\) elements and \(\circ\colon H\times H\to{\mathcal P}(H)\) be a partial hyperoperation on \(H\). If the set \(\{(a,b)\in H^2\mid a\circ b\neq\emptyset\}\) has \(k\) elements, where \(k\in\{0,1,\dots,n^2\}\), then the partial hypergroupoid \((H,\circ)\) is said to be of class \(k\).
DE SALVO, Mario, LO FARO, Giovanni
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Construction of Fuzzy Hyper BCI-Algebras Using Fuzzy Hypergroupoid

, 2022
G. Muhiuddin, E. Mohammadzadeh, Fallah Mohammadzadeh, R. A. Borzooei   +3 more
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A note on the cyclic hypergroupoids

1995
In this paper one begins to studi cyclic hypergroupoids. In particular, in the finite case, by using the set C_x= \{n\in N^* | x^{(n+1)}\subseteq \bigcup_{k=1}^n x^{(k)} \} and the maximum element of the set N-C_x, one characterizes the structure of the cyclic subhypergroupoid generated by x.
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Hypergroups and n-ary relations

European Journal of Combinatorics, 2010
Irina Cristea
exaly  

About the fuzzy grade of the direct product of two hypergroupoids

, 2010
Irina Cristea
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Fuzzy congruence relations on nd-groupoids

International Journal of Computer Mathematics, 2009
Pablo Cordero, Manuel Ojeda-Aciego
exaly  

Semihypergroups

2022
exaly  

On a strongly regular relation in hypergroupoids

1993
Let \(H\) be a hypergroupoid and \(n \in \mathbb{N}^*\). Let \(\gamma\) be a grouping of the indices \(\{1,\dots,n\}\) respecting their order. If \(z_ 1,z_ 2,\dots,z_ n\) are elements of \(H\) we denote by \(\displaystyle\prod^ n_{i=1}{^{(\gamma)} z_ i}\) the product of these elements according to \(\gamma\). Define on \(H\) a relation \(\Delta\) by: \(
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