Overview
- Offers a comprehensive guide to fuzzy sets applications in biomathematics
- Uses a number of examples and exercises to facilitate understanding
- Thoroughly revised second edition, including a new chapter on optimization
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 432)
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About this book
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 presents some concepts of derivatives, integrals and differential equations 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, mainly in biomathematics where the so-called p-fuzzy systems play an important role. 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. This thoroughly updated second edition includes a new chapter on fuzzy optimization, which also presents an application in carbon markets analysis and modeling
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
Table of contents (12 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the authors
Rodney Carlos Bassanezi is a Professor emeritus of Applied Mathematics at the Institute of Mathematics, Statistics and Computational Sciences at the University of Campinas starting his university teaching career there in 1969. He received a Ph.D. degree in mathematics from the University of Campinas in 1977. He held postdoctoral and research positions at the Libera Universitad di Trento, Italy 1981, 1985, 1990 and 1993. His research activities cover mathematical analysis (minimal surfaces), biomathematics, and fuzzy dynamical systems. He has published some books in Portuguese, notably one textbook on differential equations (1988), one textbook on mathematical modeling (2002), as well as an introduction to calculus and applications (2015). He has been the president of the Sociedade Latino-Americano de Biomatemática (1999-2001) and the coordinator of the graduate program in mathematics at the Federal University ABC in São Paulo. He has directed 57 Masters and 28 Ph.D. theses and his students have been teaching throughout Latin America.
Weldon Alexander Lodwick is a Professor of Mathematics at the University of Colorado Denver. He holds a Ph.D. degree in mathematics (1980) from Oregon State University, He is the co-editor of the book Fuzzy Optimization: Recent Developments and Applications, Studies in Fuzziness and Soft Computing Vol. 254, Springer-Verlag Berlin Heidelberg, 2010, and the author of the monograph Interval and Fuzzy Analysis: A Unified Approach in Advances in Imaging and Electronic Physics, Vol. 148, pp. 76-192, Elsevier, 2007. His current research interests include interval analysis, distance geometry, as well as flexible and generalized uncertainty optimization. Over the last thirty years he has taught applied mathematical modeling classes to undergraduate and graduate students on topics such as radiation therapyof tumor, fuzzy and possibilistic optimization modeling, molecular distance geometry problems, and neural networks applied to control problems.
Bibliographic Information
Book Title: A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics
Book Subtitle: Theory and Applications
Authors: Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon A. Lodwick
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-031-50492-1
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-50491-4Published: 21 March 2024
Softcover ISBN: 978-3-031-51687-0Due: 04 April 2025
eBook ISBN: 978-3-031-50492-1Published: 20 March 2024
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 2
Number of Pages: XV, 315
Number of Illustrations: 97 b/w illustrations, 23 illustrations in colour
Topics: Computational Intelligence, Mathematical and Computational Biology, Biostatistics