Blockwise similarity in [0,1] via triangular norms and Sugeno integrals -- Application to cluster validity. - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2007

Blockwise similarity in [0,1] via triangular norms and Sugeno integrals -- Application to cluster validity.

Résumé

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
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Dates et versions

hal-00267631 , version 1 (28-03-2008)

Identifiants

  • HAL Id : hal-00267631 , version 1

Citer

Hoel Le Capitaine, Thomas Batard, Carl Frélicot, Michel Berthier. Blockwise similarity in [0,1] via triangular norms and Sugeno integrals -- Application to cluster validity.. IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2007., Jul 2007, Londres, United Kingdom. pp.835-840. ⟨hal-00267631⟩

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