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Order theoretic classification of monotone equivariant cluster methods

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Publication:1065040
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DOI10.1007/BF01195143zbMath0576.06005MaRDI QIDQ1065040

Forrest B. Baulieu

Publication date: 1985

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

Galois connectioncluster analysisfinite posetsorder automorphismsresiduated mapsJardine-Sibson modelclasses of Galois closed cluster methodscluster methodsGalois closed residuated mapsmonotone equivariant methods


Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Pattern recognition, speech recognition (68T10) Computational methods for problems pertaining to biology (92-08) Galois correspondences, closure operators (in relation to ordered sets) (06A15)


Related Items (6)

Induced residuated maps ⋮ Preservation of weak order equivalence ⋮ Compatibility in a graph-theoretic setting ⋮ Ordinal and percentile clustering ⋮ Classification of normalized cluster methods in an order theoretic model ⋮ A classification of presence/absence based dissimilarity coefficients



Cites Work

  • Semiflat L-cluster methods
  • Monotone Equivariant Cluster Methods
  • An Order Theoretic Model for Cluster Analysis


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