Faithful consensus methods for n-trees

DOI10.1016/0025-5564(82)90043-8zbMath0539.62073OpenAlexW2024470772MaRDI QIDQ794118

Dean A. Neumann

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90043-8

zbMATH Keywords

monotonicityneutralityPareto axiomfaithfulnessbetweenness axiomconsensus rulehierarchical clusteringsn-trees

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (19)

Dictatorial consensus functions on \(n\)-trees ⋮ Consensus supertrees: The synthesis of rooted trees containing overlapping sets of labeled leaves ⋮ Preserving consensus hierarchies ⋮ Intersection rules for consensus \(n\)-trees ⋮ Stability conditions for consensus functions defined on \(n\)-trees ⋮ On the use of ordered sets in problems of comparison and consensus of classifications ⋮ N-trees as nestings: Complexity, similarity, and consensus ⋮ DASACT: a decision aiding software for axiomatic consensus theory ⋮ On an independence condition for consensus \(n\)-trees ⋮ Unnamed Item ⋮ The role of complexity in comparing classifications ⋮ s-consensus index method: An additional axiom ⋮ On lattice consensus methods ⋮ Consensus rules based on decisive families: the case of hierarchies ⋮ Efficient and binary consensus functions on transitively valued relations ⋮ Euclidean consensus dendrograms and other classification structures ⋮ Axioms for consensus functions on undirected phylogenetic trees ⋮ A formalization of consensus index methods ⋮ Optimal algorithms for comparing trees with labeled leaves

Cites Work

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• Consensus n-trees
• The median procedure in cluster analysis and social choice theory
• Consensus functions defined on trees
• An Axiomatic Theory of Tournament Aggregation

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