Fuzzy clustering with squared Minkowski distances

DOI10.1016/S0165-0114(98)00403-5zbMath1179.68132OpenAlexW2089140201MaRDI QIDQ5937025

Krzysztof Jajuga, Patrick J. F. Groenen

Publication date: 12 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(98)00403-5

Mathematics Subject Classification ID

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

Related Items (8)

Optimization strategies for two-mode partitioning ⋮ Partitional fuzzy clustering methods based on adaptive quadratic distances ⋮ Approaches to the representations and logic operations of fuzzy concepts in the framework of axiomatic fuzzy set theory. II. ⋮ Handling Noise and Outliers in Fuzzy Clustering ⋮ Categorical data fuzzy clustering: an analysis of local search heuristics ⋮ Optimising \(k\)-means clustering results with standard software packages ⋮ Cluster analysis based on fuzzy equivalence relation ⋮ A Clustering Method Based on Soft Learning of Model (Prototype) and Dissimilarity Metrics

Cites Work

• Convergence of the majorization method for multidimensional scaling
• L\({}_ 1\)-norm based fuzzy clustering
• Cluster differences scaling with a within-clusters loss component and a fuzzy successive approximation strategy to avoid local minima
• The majorization approach to multidimensional scaling for Minkowski distances
• c-means clustering with the l/sub l/ and l/sub infinity / norms
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters
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