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- Hoel Le Capitaine, Carl FrÃ©licot
- IEEE Transactions on Fuzzy Systems
- 2011

Since a clustering algorithm can produce as many partitions as desired, one needs to assess their quality in order to select the partition that most represents the structure in the data, if there isâ€¦ (More)

- Hoel Le Capitaine, Carl FrÃ©licot
- EUSFLAT Conf.
- 2011

Color image segmentation is a fundamental task in many computer vision problems. A common approach is to use fuzzy iterative clustering algorithms that provide a partition of the pixels into a givenâ€¦ (More)

- Hoel Le Capitaine
- Pattern Recognition
- 2014

The possibility of selecting a subset of classes instead of one unique class for assignation is of great interest in many decision making systems. Selecting a subset of classes instead of singletonâ€¦ (More)

- Hoel Le Capitaine, Carl FrÃ©licot
- 2009 IEEE International Conference on Fuzzyâ€¦
- 2009

This paper presents a new approach to find the optimal number of clusters of a fuzzy partition. It is based on a fuzzy modeling approach which combines measures of clusters' separation and overlap.â€¦ (More)

- Hoel Le Capitaine, Carl FrÃ©licot
- Pattern Recognition
- 2012

When classes strongly overlap in the feature space, or when s ome classes are not known in advance, the performance of a cla ssifier heavily decreases. To overcome this problem, the reject opt ionâ€¦ (More)

- Hoel Le Capitaine
- IEEE Transactions on Fuzzy Systems
- 2012

Matching pairs of objects is a fundamental operation in data analysis. However, it requires the definition of a similarity measure between objects that are to be matched. The similarity measure mayâ€¦ (More)

- Romain Quere, Hoel Le Capitaine, N. Fraisseix, Carl FrÃ©licot
- 2010 IEEE International Conference on Data Mining
- 2010

Most already existing indices used to compare two strict partitions with different number of clusters are based on coincidence matrices. To extend such indices to fuzzy partitions, one can defineâ€¦ (More)

- Hoel Le Capitaine
- Knowl.-Based Syst.
- 2018

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn aâ€¦ (More)

- Hoel Le Capitaine, Carl FrÃ©licot
- IFSA/EUSFLAT Conf.
- 2009

In fuzzy set theory, comparison of fuzzy sets plays an important role. Among the several ways to compare fuzzy sets, we address the logical theoretic approach using fuzzy implications. We propose aâ€¦ (More)