Applied General Topology
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Continuous representability of interval orders
Abstract
In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.
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References
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1. INTERVAL-VALUED REPRESENTABILITY OF QUALITATIVE DATA: THE CONTINUOUS CASE
GIANNI BOSI, MARIA JESÚS CAMPIÓN, JUAN CARLOS CANDEAL, ESTEBAN INDURÁIN
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems vol: 15 issue: 03 first page: 299 year: 2007
doi: 10.1142/S0218488507004698
Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. Universitat Politècnica de València e-ISSN: 1989-4147 https://doi.org/10.4995/agt |
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