A distance metric suitable for fuzzy partitioning

In this paper, we address the problem to build up from data a fuzzy partition in an iterative procedure based on an original distance metric. Thanks to the used distances: internal distance within a fuzzy set, external distance between two fuzzy sets, distance between prototypes, the family of gener...

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Bibliographic Details
Published in10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297) Vol. 1; pp. 264 - 267 vol.1
Main Authors Guillaume, S., Charnomordic, B., Titli, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2001
Subjects
Food industry
Fuzzy control
Fuzzy sets
Induction generators
Iris
Knowledge management
Mathematical model
Production systems
Prototypes
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Summary:In this paper, we address the problem to build up from data a fuzzy partition in an iterative procedure based on an original distance metric. Thanks to the used distances: internal distance within a fuzzy set, external distance between two fuzzy sets, distance between prototypes, the family of generated fuzzy partitions keeps the relevant properties of legibility and interpretability. A small and academic example, the iris data, demonstrates the efficiency of the proposed approach.
ISBN:078037293X
9780780372931
DOI:10.1109/FUZZ.2001.1007299