Results 281 to 290 of about 606,244 (330)

The clone relation of a binary relation

Information Sciences, 2017
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Bouremel, Hassane   +3 more
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Binary Relations and Permutation Groups

Mathematical Logic Quarterly, 1995
AbstractWe discuss some new properties of the natural Galois connection among set relation algebras, permutation groups, and first order logic. In particular, we exhibit infinitely many permutational relation algebras without a Galois closed representation, and we also show that every relation algebra on a set with at most six elements is Galois closed
Andréka, Hajnal   +2 more
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An algebraic approach to binary relations

Asian-European Journal of Mathematics, 2015
Several attempts were made to assign to a given binary relation a certain binary operation in order to allow an algebraic approach for investigating binary relations. However, the previous attempts by the first two authors were restricted to the case of so-called directed binary relations.
Chajda, Ivan   +2 more
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Subgroups of Binary Relations

1974
A binary relation defined on a set containing n elements can be interpreted as an n × n incidence matrix. Such matrix may be taken either over the two element boolean algebra or over the field Z2 . The main purpose of this paper is to study the incidence subgroups and the collineation subgroups of semigroups of binary relations.
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STRUCTURE OF FUZZY BINARY RELATIONS

Fuzzy Sets and Systems, 1981
The structure of fuzzy binary relations of indifference and preference is studied. The full description of fuzzy equivalence relations in terms of fuzzy partitions is given. All possible logical relations between various transitivity properties of fuzzy preferences are established.
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Partition Relations and Transitivity Domains of Binary Relations

Journal of the London Mathematical Society, 1967
The main theorem is Theorem 2: For all positive integers \(m\) and \(n\), for some positive integer \(l(m,n)\), for each ordinal number \(\alpha\), \(\omega_\alpha l(m,n) \to (m,\omega_\alpha n)^2\); if \(l_\alpha(m,n)\) is the least such \(l(m,n)\) for a given \(\alpha\), then \(\gamma \mapsto(m,\omega_\alpha n)^2\) for each \(\gamma > \omega_\alpha ...
Erdős, Paul, Rado, R.
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On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019
Recently, De Baets et al. have characterized the fuzzy tolerance relations that a given strict order relation is compatible with. In general, the compatibility of a strict order relation with a binary fuzzy relation guarantees also the compatibility of its associated betweenness relation with that binary fuzzy relation.
Barkat, Omar   +2 more
openaire   +1 more source

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