Geometry of Knowledge for Intelligent Systems
The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowl
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For further volumes: http://www.springer.com/series/7092
407
Germano Resconi
Geometry of Knowledge for Intelligent Systems
ABC
Author Prof. Germano Resconi Catholic University Dept. Mathematics and Physics Brescia Italy
ISSN 1860-949X e-ISSN 1860-9503 ISBN 978-3-642-27971-3 e-ISBN 978-3-642-27972-0 DOI 10.1007/978-3-642-27972-0 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2011945322 c Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
There is a tremendous interest among researchers and application engineers in agent-based systems. These systems are increasing used virtually in every area right from healthcare to the computer games. The book is on the geometry of agent knowledge. Chapter 1 presents an introduction as well as the significance of the area of research presented in the book. Chapter 2 presents the connection between tensor calculus and formal concepts definition. The definition of the tensor calculus is evolved to model geometry transformations to simplify formal description of a given problem. Tensor calculus gives us invariant forms for any possible change of the reference in the geometric description of problems. Conversely, formal concept analysis presents the
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