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Ordered Sets and Social Sciences

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Ordered Sets

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 83))

Abstract

Problems of modeling, of analysis and of aggregation of preferences provide important examples to illustrate the connections between ordered sets and social sciences. We review these problems according to a three-level classification: order models of preferences; order and associated metric structures of sets of preferences; aggregation of preferences. We conclude with examples connected with dimensionality of partial orders and lattice fixed point problems.

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Authors and Affiliations

  1. École Nationale Supérieure des Telecommunications 46, Rue Barrault, 75634, Paris, Cédex 13, France

    J. P. Barthélemy

  2. Département de Psychologie, Université de Provence, 29 avenue R. Schuman, 13621, Aix-en-Provence, Cédex, France

    Cl. Flament

  3. Centre de Mathématique Sociale, Laboratoire Associé au C.N.R.S. 54, Bld Raspail, 75270, Paris, Cédex 06, France

    B. Monjardet

Authors
  1. J. P. Barthélemy
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  2. Cl. Flament
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  3. B. Monjardet
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Editors and Affiliations

  1. Department of Mathematics and Statistics, The University of Calgary, Canada

    Ivan Rival

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© 1982 D. Reidel Publishing Company

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Barthélemy, J.P., Flament, C., Monjardet, B. (1982). Ordered Sets and Social Sciences. In: Rival, I. (eds) Ordered Sets. NATO Advanced Study Institutes Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7798-3_23

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  • DOI: https://doi.org/10.1007/978-94-009-7798-3_23

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