Fuzzy c-means: optimality of solutions and effective termination of the algorithm

DOI10.1016/0031-3203(86)90048-8zbMath0623.62059OpenAlexW1977233649MaRDI QIDQ1091716

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0031-3203(86)90048-8

zbMATH Keywords

fuzzy c-means algorithmHessian matrixlocal optimalityfuzzy clustering algorithmsfuzzy isodata algorithmfuzzy unsupervised classification

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonlinear programming (90C30) Methods of reduced gradient type (90C52) Probabilistic methods, stochastic differential equations (65C99)

Related Items (7)

Optimality tests for the fuzzy \(c\)-means algorithm ⋮ Optimality tests for fixed points of the fuzzy c-means algorithm ⋮ Advances in theory and applications of fuzzy clustering ⋮ On the mathematical and numerical properties of the fuzzy \(c\)-means algorithm ⋮ Annealed chaotic neural network with nonlinear self-feedback and its application to clustering problem ⋮ A global optimization RLT-based approach for solving the fuzzy clustering problem ⋮ A survey of fuzzy clustering

Cites Work

• Numerical taxonomy with fuzzy sets
• K-Means-Type Algorithms: A Generalized Convergence Theorem and Characterization of Local Optimality
• On the Local Optimality of the Fuzzy Isodata Clustering Algorithm
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters
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