An axiomatic study of Majority-rule (+ ) and associated consensus functions on hierarchies

Consensus trees have been used routinely in systematic biology for over 30 years with the majority-rule consensus tree among the most popular. In this paper we give axioms that characterize a new consensus function, called majority-rule (+), that is based on a generalization of majority-rule to the...

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Bibliographic Details
Published in:Discrete Applied Mathematics Vol. 159; no. 17; pp. 2038 - 2044
Main Authors: Dong, Jianrong, Fernández-Baca, David, McMorris, F.R., Powers, Robert C.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 28.10.2011
Elsevier
Subjects:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Axiom
Axioms
Biology
Combinatorics
Combinatorics. Ordered structures
Computer science; control theory; systems
Consensus
Exact sciences and technology
Graph theory
Hierarchies
Hierarchy
Logic and foundations
Majority-rule
Mathematical analysis
Mathematical logic, foundations, set theory
Mathematics
Recursion theory
Sciences and techniques of general use
Theoretical computing
Trees
Majority-rule
Hierarchy
Axiom
Consensus
Computer theory
Tree
Biology
Majority rule
Combinatorics
Axiomatic
Optimization
ISSN:0166-218X, 1872-6771
Online Access:Get full text
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Summary:Consensus trees have been used routinely in systematic biology for over 30 years with the majority-rule consensus tree among the most popular. In this paper we give axioms that characterize a new consensus function, called majority-rule (+), that is based on a generalization of majority-rule to the supertree case. In addition, two other related consensus functions are characterized. ► The new majority-rule (+) consensus function on hierarchies is characterized. ► We present axioms that characterize the loose consensus function on hierarchies. ► The function that is the union of majority-rule and loose consensus is characterized.
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ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2011.07.002