| 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 |
