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Chapitre D'ouvrage Année : 2020

Representations of Interval Orders on Connected Separable Topological Spaces

Résumé

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.
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Dates et versions

hal-04486133 , version 1 (01-03-2024)

Identifiants

Citer

Yann Rébillé. Representations of Interval Orders on Connected Separable Topological Spaces. Mathematical Topics on Representations of Ordered Structures and Utility Theory, 263, Springer International Publishing, pp.85-108, 2020, Studies in Systems, Decision and Control, ⟨10.1007/978-3-030-34226-5_4⟩. ⟨hal-04486133⟩
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