Optimality tests for the fuzzy \(c\)-means algorithm

DOI10.1016/0031-3203(94)90134-1zbMath0822.68098OpenAlexW2078689221MaRDI QIDQ1345814

Jerry M. Mendel, Wen Wei

Publication date: 9 October 1995

Published in: Pattern Recognition (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0031-3203(94)90134-1

zbMATH Keywords

fuzzy \(c\)-meansFCM algorithm

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Pattern recognition, speech recognition (68T10)

Related Items (4)

A benchmark calculation for the fuzzy \(c\)-means clustering algorithm: initial memberships ⋮ Sample-weighted clustering methods ⋮ On fuzzy cluster validity indices ⋮ A stability based validity method for fuzzy clustering

Cites Work

• Local convergence of the fuzzy c-means algorithms
• Fuzzy c-means: optimality of solutions and effective termination of the algorithm
• Optimality tests for fixed points of the fuzzy c-means algorithm
• Convergence theory for fuzzy c-means: Counterexamples and repairs
• A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters

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