A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental u

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Laécio Carvalho de Barros Rodney Carlos Bassanezi Weldon Alexander Lodwick Editors

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Theory and Applications

Studies in Fuzziness and Soft Computing Volume 347

Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected]

About this Series The series “Studies in Fuzziness and Soft Computing” contains publications on various topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks, evolutionary computation, probabilistic and evidential reasoning, multi-valued logic, and related fields. The publications within “Studies in Fuzziness and Soft Computing” are primarily monographs and edited volumes. They cover significant recent developments in the field, both of a foundational and applicable character. An important feature of the series is its short publication time and world-wide distribution. This permits a rapid and broad dissemination of research results.

More information about this series at http://www.springer.com/series/2941

Laécio Carvalho de Barros Rodney Carlos Bassanezi Weldon Alexander Lodwick

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Theory and Applications

123

Laécio Carvalho de Barros Departamento de Matemática Aplicada Universidade Estadual de Campinas São Paulo Brazil

Weldon Alexander Lodwick Department of Mathematical and Statistical Sciences University of Colorado Denver Denver, CO USA

Rodney Carlos Bassanezi Centro de Matemática e Computação Universidade Federal do ABC Santo André, São Paulo Brazil

ISSN 1434-9922 ISSN 1860-0808 (electronic) Studies in Fuzziness and Soft Computing ISBN 978-3-662-53322-2 ISBN 978-3-662-53324-6 (eBook) DOI 10.1007/978-3-662-53324-6 Library of Congress Control Number: 2016948236 © Springer-Verlag Berlin Heidelberg 2017 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer N