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Binary Relations: Definitions, Representations, Basic Properties

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Book cover Preference Modelling

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 250))

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Abstract

Let A denote a finite set of elements a, b, c, ... A binary relation S on the set A is a subset of the cartesian product A × A, that is, a set of ordered pairs (a,b) such that a and b are in A: S ⊂ A × A. If the ordered pair (a,b) belongs to S, we denote indifferently (a,b) ∈ S or a S b.

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References

  • Monjardet B., Axiomatiques et propriétés des quasi-ordres, Math. Sci. Humaines, 63 (1978) 51–82.

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  • Roberts F.S., Measurement Theory, Addison-Wesley, Reading, Massachusetts, 1979.

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© 1985 Springer-Verlag Berlin Heidelberg

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Roubens, M., Vincke, P. (1985). Binary Relations: Definitions, Representations, Basic Properties. In: Preference Modelling. Lecture Notes in Economics and Mathematical Systems, vol 250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46550-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-46550-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15685-7

  • Online ISBN: 978-3-642-46550-5

  • eBook Packages: Springer Book Archive

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