Continuous representability of interval orders

Juan C. Candeal, Esteban Induráin, M. Zudaire


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.


Orderings on a set; Interval orders; Numerical representations of orderings; Continuous representations of orderings

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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems  vol: 15  issue: 03  first page: 299  year: 2007  
doi: 10.1142/S0218488507004698

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