Title :
An Empirical Study of Statistical Properties of the Choquet and Sugeno Integrals
Author :
Grabisch, Michel ; Raufaste, Eric
Author_Institution :
Centre d´´Economie de la Sorbonne (CES), Univ. de Paris I Pantheon-Sorbonne, Paris
Abstract :
This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses on two topics: the distribution of the output of these integrals when the input is corrupted with noise, and the robustness of these models when they are identified using some set of learning data through some learning procedure.
Keywords :
integral equations; learning (artificial intelligence); statistical analysis; Choquet integral; Sugeno integral; fuzzy integral; learning data; multiattribute model; statistical property; Arithmetic; Decision making; Gaussian noise; Helium; Image processing; Noise measurement; Noise robustness; Open wireless architecture; Pattern classification; Regression analysis;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2008.917295
