Paper Info
Title
Construction of a Bi-capacity and Its Utility Functions without any Commensurability Assumption in Multi-criteria Decision Making.
Abstract
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.
Year
DOI
Venue
2014
10.1007/978-3-319-08795-5_31
Communications in Computer and Information Science
Keywords
Field
DocType
Choquet integral,bi-capacity,commensurability,bipolarity
Affine transformation,Algebra,Cartesian product,Computer science,Simulation,Evaluation function,Bellman equation,Choquet integral,Commensurability (philosophy of science)
Conference
Volume
ISSN
Citations 
442
1865-0929
0
PageRank 
References 
Authors
0.34
4
1
Name
Order
Citations
PageRank
Christophe Labreuche170965.78