Relative and absolute order-of-magnitude models unified

Authors:
Louise Travé-Massuyès;Francesc Prats;Mónica Sánchez;Núria Agell
Affiliations:
LAAS-CNRS, Toulouse, France 31077;MA2-UPC, Barcelona, Spain 08034;MA2-UPC, Barcelona, Spain 08034;ESADE-URL, Barcelona, Spain 08034
Venue:
Annals of Mathematics and Artificial Intelligence
Year:
2005

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Abstract

The aim of this paper is to analyze under which conditions Absolute Order-of-Magnitude and Relative Order-of-Magnitude models may be concordant and to determine the constraints which guarantee concordance. A graphical interpretation of the constraints is provided, bridging the absolute qualitative labels of two quantities into their corresponding relative relation(s), and conversely. The relative order of magnitude relations are then characterized in the absolute order-of-magnitude world.