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Complete Two-Valued Preference Structures

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

Abstract

A complete two-valued preference structure in a finite set A is a mapping from A×A to [−1, +1] such that, V a, b ∈ A:

$${\rm{\mu }}\left( {{\rm{a,b}}} \right) + {\rm{\mu }}\left( {{\rm{b,a}}} \right) = 0.$$

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References

  • Cozzens, M. and Roberts, F., Double semiorders and double indifference graphs, Siam Journal on Algebraic Discrete Methods, 3 (1982), 566–583.

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  • Doignon, J-P., Multiple semiorders, Working paper, Université Libre de Bruxelles, 1984.

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  • Doignon, J-P., Threshold representations of preference relations, Working paper, Université Libre de Bruxelles, 1984.

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  • Roy, B. and Vincke, Ph., Pseudo-orders: definition, properties and numerical representation, to appear.

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  • Vincke, Ph., Vrais, quasi, pseudo et précritères dans un ensemble fini: propriétés et algorithmes, Cahier du Lamsade n°27, 1980.

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© 1985 Springer-Verlag Berlin Heidelberg

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Roubens, M., Vincke, P. (1985). Complete Two-Valued Preference Structures. 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-46550-5_6

  • 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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