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Browse Journals & Magazines > Systems, Man and Cybernetics, ...> Volume:SMC-4 Issue:3 Help

A Graph Theoretic Analysis of Pattern Classification via Tamura's Fuzzy Relation

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1 Author(s)
Dunn, J.C. ; Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y. 14850.

Graph theoretical arguments are used to show that the hierarchical clustering scheme induced by Tamura's N-step fuzzy relation f is contained in the maximal single linkage hierarchy. A method of computing f is proposed, based upon Prim's algorithm for generating maximal spanning trees and a result reported by Hu on maximal capacity routes in maximal spanning trees. It is shown that this procedure is superior to Tamura's generalized matrix multiplication algorithm with regard to both computing time and storage requirements.

Published in:
Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-4 ,  Issue: 3 )

Date of Publication: May 1974

Page(s):
310 - 313
ISSN :
0018-9472
Digital Object Identifier :
10.1109/TSMC.1974.5409141
Product Type:
Journals & Magazines
Date of Current Version :
08 February 2010
Issue Date :
May 1974
Sponsored by :
IEEE Systems, Man, and Cybernetics Society

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