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Continuous linear representability of binary relations [PDF]
Economic Theory, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
NEUEFEIND, W, Trockel, Walter
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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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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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Binary Relations and Permutation Groups
Mathematical Logic Quarterly, 1995AbstractWe 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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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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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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Partition Relations and Transitivity Domains of Binary Relations
Journal of the London Mathematical Society, 1967The 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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STRUCTURE OF FUZZY BINARY RELATIONS
Fuzzy Sets and Systems, 1981The 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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