Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Session: S2: Fuzzy Measures and Integrals

7 articles
Proceedings Article

Construction of a Choquet integral and the value functions without any commensurateness assumption in multi-criteria decision making

Christophe Labreuche
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....
Proceedings Article

On Convergence of Fuzzy Integrals over Complete Residuated Lattices

Antonín Dvorak, Michal Holcapek
Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type 1, 1 fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this...
Proceedings Article

Evaluating Consulting Firms Using a Centroid Ranking Approach based Fuzzy MCDM Method

Ta-Chung Chu
The purpose of this paper is to evaluate and select consulting firms by suggesting a centroid ranking approach based fuzzy multiple criteria decision making (MCDM) method, where ratings of alternatives versus qualitative criteria and the different importance weights among criteria are assessed in linguistic...
Proceedings Article

Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral

Brice Mayag, Michel Grabisch, Christophe Labreuche
We propose an algorithm to solve inconsistencies when the preferences of a decision-maker, given by a strict and an indifference relations on a set of binary actions, are not representable by a 2-additive Choquet integral. According to the characterization of this type of information, these inconsistencies...
Proceedings Article

L-fuzzy valued measure and integral

Vecislavs Ruza, Svetlana Asmuss
We continue to develop a construction of an L-fuzzy valued measure by extending a measure defined on a algebra of crisp sets to an L-fuzzy valued measure defined on a TM-tribe in the case when operations with L-sets and L-fuzzy numbers are defined by using the minimum triangular norm TM. We introduce...
Proceedings Article

Parameter identification in Choquet Integral by the Kullback-Leibler divergence on continuous densities with application to classification fusion

Emmanuel Ramasso, Sylvie Jullien
Classifier fusion is a means to increase accuracy and decision-making of classification systems by designing a set of basis classifiers and then combining their outputs. The combination is made up by non linear functional dependent on fuzzy measures called Choquet integral. It constitues a vast family...