MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Continuous representation of interval orders by means of decreasing scales
Gianni Bosi

Abstract

We characterize the representability of an interval order on a topological space through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Such a continuous representation is obtained by using the notion of a decreasing scale.

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Keywords: Interval order; continuous numerical representation; decreasing scale.

MSC: 06A06, 91B16

Pages:  111--117     

Volume  58 ,  Issue  3$-$4 ,  2006