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

Theory and Applications

  • Laécio Carvalho de Barros
  • Rodney Carlos Bassanezi
  • Weldon Alexander Lodwick

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 347)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 1-21
  3. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 23-41
  4. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 43-51
  5. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 53-78
  6. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 79-111
  7. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 113-134
  8. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 135-173
  9. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 175-203
  10. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 205-235
  11. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 237-269
  12. Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick
    Pages 271-295
  13. Back Matter
    Pages 297-299

About this book

Introduction

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 understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it demonstrates how these theories are used to solve modeling problems in biomathematics, and presents existing derivatives and integrals applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented. The book has been developed on the basis of the authors’ lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics.

Keywords

Flexibility Modeling Uncertainty Modeling Interval Operations Zadeh’s Extension Principle Fuzzy Relational Equations Bayesian Inference Fuzzy Approximation Probabilistic Independence Possibilistic Non-Interactivity Fuzzy Controllers Fuzzy Random Variables Fuzzy Expected Value Population Dynamics Predator-Prey Model P-Fuzzy Model Lotka-Volterra Equations Fuzzy Logic Textbook

Authors and affiliations

  • Laécio Carvalho de Barros
    • 1
  • Rodney Carlos Bassanezi
    • 2
  • Weldon Alexander Lodwick
    • 3
  1. 1.Departamento de Matemática AplicadaUniversidade Estadual de CampinasSão PauloUSA
  2. 2.Centro de Matemática e ComputaçãoUniversidade Federal do ABCSanto AndréBrazil
  3. 3.Department of Mathematical and Statistical SciencesUniversity of Colorado DenverDenverUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-53324-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2017
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-662-53322-2
  • Online ISBN 978-3-662-53324-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • About this book
Industry Sectors
Pharma
Automotive
Chemical Manufacturing
Biotechnology
Electronics
Telecommunications
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences