Formal Concept Analysis Foundations and Applications

Formal concept analysis has been developed as a field of applied mathematics based on the mathematization of concept and concept hierarchy. It thereby allows us to mathematically represent, analyze, and construct conceptual structures. The formal concept

  • PDF / 5,903,461 Bytes
  • 359 Pages / 430 x 660 pts Page_size
  • 54 Downloads / 209 Views

DOWNLOAD

REPORT


Subseries of Lecture Notes in Computer Science

3626

Bernhard Ganter Gerd Stumme Rudolf Wille (Eds.)

Formal Concept Analysis Foundations and Applications

13

Series Editors Jaime G. Carbonell, Carnegie Mellon University, Pittsburgh, PA, USA Jörg Siekmann, University of Saarland, Saarbrücken, Germany Volume Editors Bernhard Ganter TU Dresden, Institut für Algebra 01062 Dresden, Germany E-mail: [email protected] Gerd Stumme Universität Kassel, Fachbereich Mathematik und Informatik Wilhelmshöher Allee 73, 34121 Kassel, Germany E-mail: [email protected] Rudolf Wille Technische Universität Darmstadt, Fachbereich Mathematik Schloßgartenstr. 7, 64289 Darmstadt E-mail: [email protected]

Library of Congress Control Number: 2005929194

CR Subject Classification (1998): I.2, G.2.1-2, F.4.1-2, D.2.4, H.3 ISSN ISBN-10 ISBN-13

0302-9743 3-540-27891-5 Springer Berlin Heidelberg New York 978-3-540-27891-7 Springer Berlin Heidelberg New York

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2005 Printed in Germany Typesetting: Camera-ready by author, data conversion by Olgun Computergrafik Printed on acid-free paper SPIN: 11528784 06/3142 543210

Preface

Formal Concept Analysis has been developed as a field of applied mathematics based on a mathematization of concept and concept hierarchy. It thereby allows us to mathematically represent, analyze and construct conceptual structures. That has been proven useful in a wide range of application areas such as medicine and psychology, sociology and linguistics, archaeology and anthropology, biology and chemistry, civil and electrical engineering, information and library sciences, information technology and software engineering, computer science and even mathematics itself. More than 25 years of research have built up a rich mathematical theory and many application methods and procedures which are presented in more than 500 scientific publications. The basics of the mathematical theory were represented in the monograph “Formale Begriffsanalyse: Mathematische Grundlagen” (Springer 1996) and its English translation “Formal Concept Analysis: Mathematical Foundations” (Springer, 1999). Applications with the focus on conceptual knowledge processing are broadly discussed in the volumes “Begriffliche Wissensverarbeitung: Grundfragen und Aufgaben” (B.I.-Wissenschaftsverlag 1994) and “Begriffliche Wissenverarbeitung: Methoden und Anwe