ORDINAL AND RELATIONAL CLUSTERING (WITH CD-ROM) (Interdisciplinary Mathematical Sciences)

Janowitz, Melvin F

ISBN 10: 9814287202 ISBN 13: 9789814287203

Publisher: World Scientific Publishing Company, 2010

Synopsis

Most modern textbooks on cluster analysis are written from the standpoint of computer science, which give the background, description and implementation of computer algorithms. This book proclaims several firsts -- the first to present a broad mathematical treatment of the subject, the first that illustrates dissimilarities taking values in a poset, and the first to notice the connection with formal concept analysis which is a powerful tool for investigating hidden structures in large data sets.This book presents the subject from a mathematical viewpoint with careful definitions. All clearly stated axioms are illustrated with concrete examples. New ideas are introduced informally first, and then in a careful, systematic manner. Much of the material has not previously appeared in the literature. It is to be hoped that the book holds promising directive to launch a new research area that is based on graph theory, as well as partially ordered sets. It also suggests the cluster algorithms that can be used for practical applications. The emphasis will be largely on ordinal data and ordinal cluster methods.

About this title

Review:

This book should be read by anyone doing clustering who is even remotely interested in a mathematical model of what the algorithms do and why they work. -- Mathematical Reviews "Mathematical Reviews"

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2010
• ISBN 10: 9814287202
• ISBN 13: 9789814287203
• Binding: Product Bundle
• Number of pages: 200