On the Ferrers property of valued interval orders |
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Authors: | Susana Díaz Bernard De Baets Susana Montes |
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Institution: | 1.Dept. Statistics and O. R.,University of Oviedo,Oviedo,Spain;2.Dept. of Appl. Math., Biometrics and Process Control,Ghent University,Ghent,Belgium |
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Abstract: | We study the relationship between the Ferrers property and the notion of interval order in the context of valued relations.
Given a crisp preference structure without incomparability, the strict preference relation satisfies the Ferrers property
if and only if the associated weak preference relation does. These conditions characterize a total interval order. For valued
relations the Ferrers property can be written in two different and non-equivalent ways. In this work, we compare these properties
by finding the kind of completeness they imply. Moreover, we study whether they still characterize a valued total interval
orders. |
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Keywords: | |
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