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Fuzzy Prototypes Based on Typicality Degrees
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Fuzzy Prototypes Based on Typicality Degrees
Marie-Jeanne Lesot3 , Laure Mouillet3, 4 and Bernadette Bouchon-Meunier3 
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LIP6, 8 rue du capitaine Scott, 75 015 Paris, France |
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Thales Communications, 160 Bd de Valmy, BP 82, 92704 Colombes Cedex, France |
Abstract
This paper considers the task of constructing fuzzy prototypes for numerical data in order to characterize the data subgroups
obtained after a clustering step. The proposed solution is motivated by the will of describing prototypes with a richer representation
than point-based methods, and also to provide a characterization of the groups that catches not only the common features of
the data pertaining to a group, but also their specificity. It transposes a method that has been designed for fuzzy data to
numerical data, based on a prior computation of typicality degrees that are defined according to concepts used in cognitive
science and psychology. The paper discusses the construction of prototypes and how their desirable semantics and properties
can guide the selection of the various operators involved in the construction process.
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