Issue |
RAIRO-Oper. Res.
Volume 34, Number 3, July September 2000
|
|
---|---|---|
Page(s) | 251 - 281 | |
DOI | https://doi.org/10.1051/ro:2000114 | |
Published online | 15 August 2002 |
Comparing classification tree structures: A special case of comparing q-ary relations II
Irisa - Université de Rennes 1,
Campus de Beaulieu, 35042 Rennes Cedex, France.
Received:
April
1997
Comparing q-ary relations on a set of elementary objects is one of the most fundamental problems of
classification and combinatorial data analysis. In this paper the specific comparison task that involves classification
tree structures (binary or not) is considered in this context. Two mathematical representations are proposed. One is
defined in terms of a weighted binary relation; the second uses a 4-ary relation. The most classical approaches to
tree comparison are discussed in the context of a set theoretic representation of these relations. Formal and
combinatorial computing aspects of a construction method for a very general family of association coeficients between
relations are presented. The main purpose of this article is to specify the components of this construction, based on a
permutational procedure, when the structures to be compared are classification trees.
Key words: Classification tree / relations / mathematical representation / random permutational model.
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.