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2007
IEEE

Blockwise Similarity in [0, 1] via Triangular Norms and Sugeno Integrals - Application to Cluster Validity

13 years 10 months ago
Blockwise Similarity in [0, 1] via Triangular Norms and Sugeno Integrals - Application to Cluster Validity
— In many fields, e.g. decision-making, numerical values in [0,1] are available and one is often interested in detecting which are similar. In this paper, we propose an operator which is able to detect whether some values can be gathered by blocks with respect to their similarity or not. It combines the values and a kernel function using triangular norms and Sugeno integrals. This operator allows to estimate this blockwise similarity at different levels. For illustration purpose, we use it to define an index suitable for the cluster validity problem in pattern recognition.
Hoel Le Capitaine, Thomas Batard, Carl Frél
Added 02 Jun 2010
Updated 02 Jun 2010
Type Conference
Year 2007
Where FUZZIEEE
Authors Hoel Le Capitaine, Thomas Batard, Carl Frélicot, Michel Berthier
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