Results 291 to 300 of about 1,022,933 (334)

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, Zedam, Lemnaouar, De Baets, Bernard   +2 more
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Binary string relations

Proceedings of the eighth international conference on Information and knowledge management, 1999
The paper is concerned with the qualitative representation of spatiotemporal relations. We initially propose a multiresolution framework for the representation of relations among 1D intervals, based on a binary string encoding. We subsequently extend this framework to multiple dimensions, thus allowing the description of spatiotemporal relations at ...
Delis Vasilis, Hadzilacos Thanasis
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Complete Semigroups of Binary Relations

Journal of Mathematical Sciences, 2003
This paper considers the subgroups of the semigroup of binary relations \(B_X\) consisting of binary relations \(R\) whose sections \(S_x=\{y\mid(x,y)\in R\}\) are always members of a complete semilattice \(D\) of subsets of \(X\) under union. These semigroups can also be studied in terms of Boolean matrices and have applications to graph theory ...
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Transformation of binary relations

Proceedings of the Sixth International Conference on Computer Supported Cooperative Work in Design (IEEE Cat. No.01EX472), 2002
In the object-oriented paradigm, as complexity rises, the cost of developing and maintaining software systems grows exponentially. This complexity emerges from the continuous evolution of software systems to cope with changing requirements. This crucial problem can be dealt with by performing an active transformation of the elements (i.e.
J. Said, E. Steegmans
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Binary Relations

2022
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Valued binary relations

1994
Binary relations play a central role in various fields of mathematics. Especially, equivalence relations and different kinds of ordering relations are employed in basic mathematical models. Typical areas are decision making and measurement theory. In addition, applications of binary relations appear naturally in social sciences.
János Fodor, Marc Roubens
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Intervals of Binary Relations

Mathematical Logic Quarterly, 1979
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