Paper Info
Title
Construction of a Choquet integral and the value functions without any commensurateness 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 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 capacity? The approaches that have been developed so far in the literature to answer this question in an analytical way assume some commensurateness hypothesis. We propose in this paper a method to construct the value functions and the capacity without any commensurateness assumption. Moreover, we show that the construction of the value functions is unique up to an affine transformation.
Year
Venue
Keywords
2011
PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011
Choquet integral,capacity,value functions,commensurateness
Field
DocType
ISSN
Affine transformation,Mathematical optimization,Algebra,Cartesian product,Evaluation function,Bellman equation,Choquet integral,Mathematics
Conference
1951-6851
Citations 
PageRank 
References 
7
0.80
9
Authors
1
Name
Order
Citations
PageRank
Christophe Labreuche170965.78