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Unsupervised Optimal Fuzzy Clustering

Published: 01 July 1989 Publication History

Abstract

This study reports on a method for carrying out fuzzy classification without a priori assumptions on the number of clusters in the data set. Assessment of cluster validity is based on performance measures using hypervolume and density criteria. An algorithm is derived from a combination of the fuzzy K-means algorithm and fuzzy maximum-likelihood estimation. The unsupervised fuzzy partition-optimal number of classes algorithm performs well in situations of large variability of cluster shapes, densities, and number of data points in each cluster. The algorithm was tested on different classes of simulated data, and on a real data set derived from sleep EEG signal.

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Information & Contributors

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Published In

cover image IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence  Volume 11, Issue 7
July 1989
109 pages
ISSN:0162-8828
Issue’s Table of Contents

Publisher

IEEE Computer Society

United States

Publication History

Published: 01 July 1989

Author Tags

  1. cluster validity
  2. electroencephalography
  3. fuzzy K-means algorithm
  4. fuzzy classification
  5. fuzzy maximum-likelihood estimation
  6. fuzzy set theory
  7. pattern recognition
  8. sleep EEG signal
  9. unsupervised fuzzy partition-optimal number of classes algorithm
  10. unsupervised optimal fuzzy clustering

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  • (2023)$\ell _{2,p}$-Norm and Mahalanobis Distance-Based Robust Fuzzy C-MeansIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.323538431:9(2904-2916)Online publication date: 25-Jan-2023
  • (2023)A Fully Interpretable First-Order TSK Fuzzy System and Its Training With Negative Entropic and Rule-Stability-Based RegularizationIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2022.322370031:7(2305-2319)Online publication date: 1-Jul-2023
  • (2023)Graph Enhanced Fuzzy Clustering for Categorical Data Using a Bayesian Dissimilarity MeasureIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2022.318983131:3(810-824)Online publication date: 1-Mar-2023
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