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Fuzzy Sets and Systems
Volume 122, Issue 3, 16 September 2001, Pages 443-449
 
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doi:10.1016/S0165-0114(00)00053-1    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Elsevier Science B.V. All rights reserved.

Reconstruction of additive phylogenetic tree

Ie-Bin Lian1, Corresponding Author Contact Information, E-mail The Corresponding Author

Department of Mathematics, National Changhua University of Education, # 1 Jinde Road, Changhua 50058, Taiwan, ROC

Received 12 August 1998;
revised 21 March 2000;
accepted 22 March 2000
Available online 27 June 2001.

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Abstract

In the construction of phylogenetic tree, the choice of a metric for measuring the distance of pairs of objects, and linkages for measuring distance between groups are both crucial. For stepwise methods, different linkages usually produce different trees, and for exhaustive methods, the computation is time-consuming when the number of objects to be classified is large. In this paper, we propose an ultrametric fuzzy distance, and show that under this distance, the correspondent distance tree is additive and linkage-free, and therefore has a one-to-one correspondence between the distance matrix and trees. The algorithm is easy to implement even for a large sample of objects; however, it may mildly increase the chance of misclassification due to the loss of information.

Author Keywords: Ultrametric; Cluster analysis; Fuzzy distance; max–min composition


Fuzzy Sets and Systems
Volume 122, Issue 3, 16 September 2001, Pages 443-449
 
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