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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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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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On a binary relation inference network
[1991] Proceedings. The Fifth International Parallel Processing Symposium, 2002Many human and machine reasoning tasks require complicated inferences between objects and events, in which the constituting inference processes depend in turn on successive inferences on more basic binary relations. Given a set of n binary relations between m different objects or events, it is possible to infer other consistent binary relations, to ...
Kai-Pui Lam, Crystal J. Su
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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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Clonal sets of a binary relation
International Journal of General Systems, 2018AbstractIn a recent paper, we have introduced the notion of clone relation of a given binary relation. Intuitively, two elements are said to be “clones” if they are related in the same way w.r.t.
Lemnaouar Zedam +3 more
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Complete Semigroups of Binary Relations
Journal of Mathematical Sciences, 2003This 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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A Simple Parallel Algorithm for Natural Joins on Binary Relations
International Conference on Database Theory, 2020Yufei Tao
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Solute atom mediated Hall-Petch relations for magnesium binary alloys
Scripta Materialia, 2022Y. Wen +6 more
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The second calculus of binary relations
1993We view the Chu space interpretation of linear logic as an alternative interpretation of the language of the Peirce calculus of binary relations. Chu spaces amount to K-valued binary relations, which for K=2n we show generalize n-ary relational structures.
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On binary operators and their derived relations
BIT, 1988Considering a list of abstract binary operations and relations, the author gives a sequence of seven simple to prove, but interesting and very useful theorems, which appear frequently in algebra and other fields. All results are known, but the approach is nice and appropriate for teaching, with a good generality.
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Solving Quantifier-Free First-Order Constraints Over Finite Sets and Binary Relations
Journal of automated reasoning, 2019M. Cristiá, G. Rossi
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