Anzeige
Erschienen in:
2014 | OriginalPaper | Buchkapitel
Construction of a Bi-capacity and Its Utility Functions without any Commensurability Assumption in Multi-criteria Decision Making
verfasst von : Christophe Labreuche
Erschienen in: Information Processing and Management of Uncertainty in Knowledge-Based Systems
Verlag: Springer International Publishing
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We consider a multi-criteria evaluation function
U
defined over a Cartesian product of attributes. We assume that
U
is written as the combination of an aggregation function and one value function over each attribute. The aggregation function is assumed to be a Choquet integral w.r.t. an unknown bi-capacity. The problem we wish to address in this paper is the following one: if
U
is known, can we construct both the value functions and the bi-capacity? The approaches that have been developed so far in the literature to answer this question in an analytical way assume some commensurability hypothesis. We propose in this paper a method to construct the value functions and the capacity without any commensurability assumption. Moreover, we show that the construction of the value functions is unique up to an affine transformation.