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Categories of Relations and Functional Relations

Applied Categorical Structures, 2000
Abstract: "We define relations and their composition in a category with ([Epsilon,Mu])-factorization structure, with [Mu] consisting of monomorphisms, but [Epsilon] not restricted to epimorphisms. We obtain an associativity criterion for composition of relations, and we study functional and induced relations."
Romaine Jayewardene, Oswald Wyler
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Relation algebra with multi-relations

International Journal of Computer Mathematics, 1998
This report proposes a theory of multi-relations, which are similar to normal mathematical relations, except for the fact that each tuple has a given multiplicity. It is shown that most of the set-oriented operations on relations, such as union and intersection can be generalised (in the same way in which sets can be generalised to multisets).
Feijs, L.M.G., Krikhaar, R.L.
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Relational Contexts and Relational Concepts

Fundamenta Informaticae, 2010
Formal concept analysis (FCA) is a mathematical description and theory of concepts implied in formal contexts. And the current formal contexts of FCA aim to model the binary relations between individuals (objects) and attributes in the real world. In the real world we usually describe each individual by some attributes, which induces the relations ...
Feng Jiang, Yuefei Sui, Cungen Cao
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The clone relation of a binary relation

Information Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hassane Bouremel   +3 more
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On Normalization of Relations in Relational Databases

Programming and Computer Software, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Relational Databases with Ordered Relations

Logic Journal of the IGPL, 2005
Summary: The paper deals with expressing preferences in the framework of the relational data model. Preferences have usually a form of a partial ordering. Therefore the question arises how to provide the relational data model with such an ordering.
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RELATION

2020
Identifies and explores the concept of relation in Balibar’s work and offers a genealogical account of the “ontology of relation.”
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