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An Order Theoretic Model for Cluster Analysis

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Semiflat L-cluster methods
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A model for taxonomy
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Graph Theoretic Techniques for Cluster Analysis Algorithms
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A Generalized Sorting Strategy for Computer Classifications
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Classification of Liver Diseases by Clinical Chemical Laboratory Results and Cluster Analysis
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On Some Invariant Criteria for Grouping Data
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Graphs Implied by the Jardine-Sibson Overlapping Clustering Methods, Bk
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Admissible Clustering Procedures
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The Construction of Hierarchic and Non-Hierarchic Classifications
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Some observations on a paper by Lance and Williams
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Controversy concerning the criteria for taxonometric strategies
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A General Theory of Classificatory Sorting Strategies: 1. Hierarchical Systems
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Order Invariant Methods for Data Analysis
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A Heterogeneous Subject: The Genetics of Human Populations . L. L. Cavalli-Sforza and W. F. Bodmer. Freeman, San Francisco, 1971. xviii, 966 pp., illus. $27.50. A Series of Books in Biology.
inferredcites →https://doi.org/10.1139/b75-060openalex-snapshot
Classification of vegetation data from an open beach environment in southwestern Ontario: cluster analysis followed by generalized distance assignment
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Systematics of Conidiobolus (Entomophthorales) using numerical taxonomy. I. Biology and cluster analysis
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Cluster analysis profiles of suicide attempters
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A Review of Classification
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Clustering Algorithms.
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Mathematical Taxonomy

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Hierarchical Cluster Analysis
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Hierarchical Cluster Analysis
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Hierarchical Cluster Analysis
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Hierarchical Cluster Analysis
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Set Systems and Dissimilarities
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On residuated approximations
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The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties
inferred← citeshttps://doi.org/10.1007/978-1-4612-2686-4_4openalex-snapshot
An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. I
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The residuation model for the ordinal construction of dissimilarities and other valued objects
inferred← citeshttps://doi.org/10.1007/978-1-4614-8223-9_9openalex-snapshot
Partial Orders in Socio-economics: A Practical Challenge for Poset Theorists or a Cultural Challenge for Social Scientists?
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Thinking Ultrametrically, Thinking p-Adically
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Generalized Classifications
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Cluster Analysis Based on Posets
inferred← citeshttps://doi.org/10.1007/978-3-642-17103-1_12openalex-snapshot
Spatial Pyramidal Clustering Based on a Tessellation
inferred← citeshttps://doi.org/10.1007/978-3-642-23166-7_5openalex-snapshot
Hierarchical Clustering for Finding Symmetries and Other Patterns in Massive, High Dimensional Datasets
inferred← citeshttps://doi.org/10.1007/978-3-642-23678-5_1openalex-snapshot
Metric Structures on Datasets: Stability and Classification of Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-642-46757-8_13openalex-snapshot
Formal Concept Analysis of Data With Tolerances
inferred← citeshttps://doi.org/10.1007/978-3-642-50974-2_14openalex-snapshot
Some New Useful Representations of Dissimilarities in Mathematical Classification
inferred← citeshttps://doi.org/10.1007/978-3-642-51175-2_1openalex-snapshot
Classification and Clustering: Problems for the Future
inferred← citeshttps://doi.org/10.1007/978-3-642-51175-2_8openalex-snapshot
Comparison of hierarchical classifications
inferred← citeshttps://doi.org/10.1007/978-3-642-55721-7_4openalex-snapshot
On the Roles of Galois Connections in Classification
inferred← citeshttps://doi.org/10.1007/978-3-642-58250-9_10openalex-snapshot
On a Framework for Dissimilarity Analysis
inferred← citeshttps://doi.org/10.1007/978-3-642-72253-0_11openalex-snapshot
Consensus of classifications: the case of trees
inferred← citeshttps://doi.org/10.1007/978-3-642-79999-0_13openalex-snapshot
Valuations and Hierarchizations
inferred← citeshttps://doi.org/10.1007/978-3-642-79999-0_5openalex-snapshot
An Ordinal Model for Cluster Analysis — 15 Years in Retrospect
inferred← citeshttps://doi.org/10.1007/978-3-642-80098-6_3openalex-snapshot
Computational Methods in Clustering from a Mathematical Programming Viewpoint
inferred← citeshttps://doi.org/10.1007/978-3-7091-6045-9_34openalex-snapshot
Commentary on Probabilistic Geometry
inferred← citeshttps://doi.org/10.1007/978-94-009-7798-3_23openalex-snapshot
Ordered Sets and Social Sciences
inferred← citeshttps://doi.org/10.1007/bf00383176openalex-snapshot
Induced residuated maps
inferred← citeshttps://doi.org/10.1007/bf00565653openalex-snapshot
Residuated mappings
inferred← citeshttps://doi.org/10.1007/bf01195143openalex-snapshot
Order theoretic classification of monotone equivariant cluster methods
inferred← citeshttps://doi.org/10.1007/bf01719499openalex-snapshot
Clusteranalyse — Überblick und neuere Entwicklungen
inferred← citeshttps://doi.org/10.1007/bf01894188openalex-snapshot
On the use of ordered sets in problems of comparison and consensus of classifications
inferred← citeshttps://doi.org/10.1007/bf01908077openalex-snapshot
Investigation of proportional link linkage clustering methods
inferred← citeshttps://doi.org/10.1007/s00357-012-9106-3openalex-snapshot
Fast, Linear Time Hierarchical Clustering using the Baire Metric
inferred← citeshttps://doi.org/10.1007/s10288-004-0051-9openalex-snapshot
Combinatorial optimization and hierarchical classifications
inferred← citeshttps://doi.org/10.1007/s10479-007-0174-4openalex-snapshot
Combinatorial optimisation and hierarchical classifications
inferred← citeshttps://doi.org/10.1016/0012-365x(78)90146-2openalex-snapshot
Semiflat L-cluster methods
inferred← citeshttps://doi.org/10.1016/0022-247x(86)90312-4openalex-snapshot
Range residuated mappings
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90119-9openalex-snapshot
Order automorphisms of spaces of nondecreasing functions
inferred← citeshttps://doi.org/10.1016/0022-2496(79)90035-xopenalex-snapshot
Preservation of global order equivalence
inferred← citeshttps://doi.org/10.1016/0022-2496(86)90020-9openalex-snapshot
Biorder families, valued relations, and preference modelling
inferred← citeshttps://doi.org/10.1016/0165-0114(88)90080-2openalex-snapshot
Quotients with respect to similarity relations
inferred← citeshttps://doi.org/10.1016/0165-0114(91)90256-popenalex-snapshot
Aggregation of fuzzy preferences: A theoretic arrow-like approach
inferred← citeshttps://doi.org/10.1016/0165-0114(92)90203-gopenalex-snapshot
A duality between fuzzy and percentile clustering
inferred← citeshttps://doi.org/10.1016/0165-4896(84)90060-xopenalex-snapshot
Efficient and binary consensus functions on transitively valued relations
inferred← citeshttps://doi.org/10.1016/0165-4896(89)90043-7openalex-snapshot
Ordinal and percentile clustering
inferred← citeshttps://doi.org/10.1016/0165-4896(90)90077-kopenalex-snapshot
Arrowian characterizations of latticial federation consensus functions
inferred← citeshttps://doi.org/10.1016/0165-4896(91)90039-topenalex-snapshot
Flatness and continuity in the percentile clustering model
inferred← citeshttps://doi.org/10.1016/0165-4896(93)90001-yopenalex-snapshot
Some aspects of qualitative data analysis
inferred← citeshttps://doi.org/10.1016/0165-4896(93)90030-mopenalex-snapshot
Compatibility in a graph-theoretic setting
inferred← citeshttps://doi.org/10.1016/0165-4896(93)90052-kopenalex-snapshot
Preservation of weak order equivalence
inferred← citeshttps://doi.org/10.1016/0166-218x(81)90035-4openalex-snapshot
Continuous L-cluster methods
inferred← citeshttps://doi.org/10.1016/0166-218x(91)90021-nopenalex-snapshot
Classification of normalized cluster methods in an order theoretic model
inferred← citeshttps://doi.org/10.1016/j.dam.2007.05.024openalex-snapshot
Binary clustering
inferred← citeshttps://doi.org/10.1016/s0012-365x(98)00067-3openalex-snapshot
Quasi-ultrametrics and their 2-ball hypergraphs
inferred← citeshttps://doi.org/10.1016/s0065-2458(08)60034-0openalex-snapshot
Clustering Methodologies in Exploratory Data Analysis
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Consistency in ordinal data analysis I
inferred← citeshttps://doi.org/10.1016/s0166-218x(01)00354-7openalex-snapshot
Pyramids and weak hierarchies in the ordinal model for clustering
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The k-weak hierarchical representations: an extension of the indexed closed weak hierarchies
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Ensembles Ordonnes Et Taxonomie Mathematique
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Biclosed Binary Relations and Galois Connections
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Symmetry in data mining and analysis: A unifying view based on hierarchy
inferred← citeshttps://doi.org/10.1134/s2070046612010062openalex-snapshot
Fast, linear time, m-adic hierarchical clustering for search and retrieval using the Baire metric, with linkages to generalized ultrametrics, hashing, formal concept analysis, and precision of data measurement
inferred← citeshttps://doi.org/10.1137/0137010openalex-snapshot
Monotone Equivariant Cluster Methods
inferred← citeshttps://doi.org/10.1137/0605013openalex-snapshot
Some Aspects of Clustering Functions
inferred← citeshttps://doi.org/10.1137/0605048openalex-snapshot
The Approximation of Arbitrary Clustering Functions by Clustering Functions which Satisfy Overlapping Criteria
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Hierarchical Clustering of Massive, High Dimensional Data Sets by Exploiting Ultrametric Embedding
inferred← citeshttps://doi.org/10.1146/annurev.ps.43.020192.001125openalex-snapshot
Combinatorial Data Analysis
inferred← citeshttps://doi.org/10.2991/asum.k.210827.083openalex-snapshot
On Agglomerative Hierarchical Percentile Clustering
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Les ultramétriques supérieures minimales d'une dissimilarité à valeurs dans un treillis distributif
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Ultrametric and Generalized Ultrametric in Computational Logic and in Data Analysis
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