A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics - de Barros, Laécio Carvalho

Résumé :
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.

Biographie:
La?cio Carvalho de Barros is a Professor of Applied Mathematics at the Institute of Mathematics, Statistics and Computational Sciences, the University of Campinas, and holds a Ph.D. degree in Applied Mathematics from the University of Campinas, S?o Paulo, Brazil, in 1997. He is co-author of Fuzzy Logic in Action: Applications in Epidemiology and Beyond, Studies in Fuzziness and Soft Computing Vol. 232, 2008, Springer-Verlag Berlin Heidelberg, and of Fuzzy Differential Equations in Various Approaches, SpringerBriefs in Mathematics, Number 1, 2015, Springer International Publishing. His current research interests include modeling of biological phenomena, fuzzy sets theory and fuzzy dynamical systems. Moreover, he has taught fuzzy mathematical modeling and fuzzy set theory classes for over fifteen years to both undergraduate and graduate students.

Rodney Carlos Bassaneziserif...

Sommaire:
Fuzzy Sets Theory and Uncertainty in Mathematical Modeling.-?The Extension Principle of Zadeh and Fuzzy Numbers.-?Fuzzy Relations.-?Notions of Fuzzy Logic.-?Fuzzy Rule-Based Systems.