Journal of Applied Mathematics and Decision Sciences
Volume 2008 (2008), Article ID 125797, 13 pages
doi:10.1155/2008/125797
Research Article

Clustering Objects Described by Juxtaposition of Binary Data Tables

Amar Rebbouh

MSTD Laboratory, Faculty of Mathematics, University of Science and Technology-Houari Boumediene (USTHB), El Alia, BP 32, Algiers 16011, Algeria

Received 3 April 2008; Revised 14 August 2008; Accepted 28 October 2008

Academic Editor: Khosrow Moshirvaziri

Copyright © 2008 Amar Rebbouh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper seeks to develop an allocation of 0/1 data matrices to physical systems upon a Kullback-Leibler distance between probability distributions. The distributions are estimated from the contents of the data matrices. We discuss an ascending hierarchical classification method, a numerical example and mention an application with survey data concerning the level of development of the departments of a given territory of a country.