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Biorders with Frontier

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Abstract

This paper studies an extension of biorders that has a “frontier” between the relation and the absence of relation. This extension is motivated by a conjoint measurement problem consisting in the additive representation of ordered coverings defined on product sets of two components. We also investigate interval orders and semiorders with frontier.

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Authors and Affiliations

  1. CNRS, LAMSADE, FRE3234, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France

    Denis Bouyssou

  2. Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France

    Denis Bouyssou

  3. Department of Data Analysis, Universiteit Gent, H. Dunantlaan, 1, 9000, Gent, Belgium

    Thierry Marchant

Authors
  1. Denis Bouyssou
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  2. Thierry Marchant
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Correspondence to Denis Bouyssou.

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Bouyssou, D., Marchant, T. Biorders with Frontier. Order 28, 53–87 (2011). https://doi.org/10.1007/s11083-010-9153-5

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