PROCEEDINGS IPMU '08
Identification of Choquet integral’s parameters based on relative entropy and applied to classification of tomographic images
S. Jullien, G. Mauris, L. Valet, P. Bolon, S. Teyssier.
A method based on relative entropy is
proposed to identify Choquet integral
parameters for classification purposes.
While the entropy-based method initially
developed by Kojadinovic [11]
assigns a high importance to the attributes
which allow to differentiate
many classes, the relative entropybased
method proposed focuses on the
researched classes. This is done in order
to obtain the attribute confidence
by the integration of expert knowledge
concerning these classes. The values
of the relative entropy for different subsets
of attributes are considered as the
values of Choquet capacity coefficients.
The proposed identification method is
integrated in an aiding system aiming
at interpreting 3D-tomographic images
of electrotechnical parts made of composite
materials and manufactured by
Schneider Electric. Four attributes extracted
from the tomographic images
are aggregated by the Choquet integral
using the parameters identified by
the proposed method. The result is a
3D cartography of the sought-after regions
within the tomographic image.
Quantitative assessments of classification
highlight the relevance of the proposed
approach.
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