In this paper we provide a characterization of the existence of a pair (u,v) of upper semicontinuous real-valued functions representing an interval order on a topological space (X,t). The famous Rader's utility representation theorem appears as a corollary of our main result.
REPRESENTATION OF AN INTERVAL ORDER BY MEANS OF TWO UPPER SEMICONTINUOUS FUNCTIONS / Bosi, Gianni; Zuanon, M.. - In: INTERNATIONAL MATHEMATICAL FORUM. - ISSN 1312-7594. - STAMPA. - Vol. 6, 2011:(2011), pp. 2067-2071.
REPRESENTATION OF AN INTERVAL ORDER BY MEANS OF TWO UPPER SEMICONTINUOUS FUNCTIONS
BOSI, GIANNI;
2011-01-01
Abstract
In this paper we provide a characterization of the existence of a pair (u,v) of upper semicontinuous real-valued functions representing an interval order on a topological space (X,t). The famous Rader's utility representation theorem appears as a corollary of our main result.File in questo prodotto:
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