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Representations of Interval Orders on Connected Separable Topological Spaces

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  • Yann Rébillé

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - IEMN-IAE Nantes - Institut d'Économie et de Management de Nantes - Institut d'Administration des Entreprises - Nantes - UN - Université de Nantes)

Abstract

We establish a partial continuous interval representation for interval orders preferences on connected separable topological spaces. Then we provide a generalization of interval representations of interval orders when a continuous strict weak order is given. This allows one to obtain for incomplete preferences one-side or two-sides interval representations and also one-side or two-sides weak interval representations that are partial continuous.

Suggested Citation

  • Yann Rébillé, 2020. "Representations of Interval Orders on Connected Separable Topological Spaces," Post-Print hal-04486133, HAL.
    • Handle: RePEc:hal:journl:hal-04486133
    DOI: 10.1007/978-3-030-34226-5_4
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