On the mathematical and numerical properties of the fuzzy \(c\)-means algorithm

DOI10.1016/0165-0114(92)90323-VzbMath0757.62032OpenAlexW2055740988MaRDI QIDQ1198834

Shokri Z. Selim, Mohamed S. Kamel

Publication date: 16 January 1993

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(92)90323-v

zbMATH Keywords

fuzzy clusteringfuzzy c-means algorithmreduced objective functions

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Theory of fuzzy sets, etc. (03E72) Probabilistic methods, stochastic differential equations (65C99)

Related Items (2)

ON ASYMPTOTIC NORMALITY OF A CLASS OF FUZZY C-MEANS CLUSTERING PROCEDURES ⋮ A survey of fuzzy clustering

Cites Work

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• Fuzzy c-means: optimality of solutions and effective termination of the algorithm
• Optimality tests for fixed points of the fuzzy c-means algorithm
• Numerical taxonomy with fuzzy sets
• Abstraction and pattern classification
• On the Local Optimality of the Fuzzy Isodata Clustering Algorithm
• Convergence theory for fuzzy c-means: Counterexamples and repairs
• A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms
• A new approach to clustering
• An Algorithm for Detecting Unimodal Fuzzy Sets and Its Application as a Clustering Technique
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters

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