Provides a unique and methodologically consistent treatment of various
areas of fuzzy modeling and includes the results of mathematical fuzzy
logic and linguistics
This book is the result of almost thirty years of research on fuzzy
modeling. It provides a unique view of both the theory and various types
of applications. The book is divided into two parts. The first part
contains an extensive presentation of the theory of fuzzy modeling. The
second part presents selected applications in three important areas:
control and decision-making, image processing, and time series analysis
and forecasting. The authors address the consistent and appropriate
treatment of the notions of fuzzy sets and fuzzy logic and their
applications. They provide two complementary views of the methodology,
which is based on fuzzy IF-THEN rules. The first, more traditional
method involves fuzzy approximation and the theory of fuzzy relations.
The second method is based on a combination of formal fuzzy logic and
linguistics. A very important topic covered for the first time in book
form is the fuzzy transform (F-transform). Applications of this theory
are described in separate chapters and include image processing and time
series analysis and forecasting. All of the mentioned components make
this book of interest to students and researchers of fuzzy modeling as
well as to practitioners in industry.
Features:
- Provides a foundation of fuzzy modeling and proposes a thorough
description of fuzzy modeling methodology
- Emphasizes fuzzy modeling based on results in linguistics and formal
logic
- Includes chapters on natural language and approximate reasoning, fuzzy
control and fuzzy decision-making, and image processing using the
F-transform
- Discusses fuzzy IF-THEN rules for approximating functions, fuzzy
cluster analysis, and time series forecasting
Insight into Fuzzy Modeling is a reference for researchers in the
fields of soft computing and fuzzy logic as well as undergraduate,
master and Ph.D. students.
Vilém Novák, D.Sc. is Full Professor and Director of the Institute
for Research and Applications of Fuzzy Modeling, University of Ostrava,
Czech Republic.
Irina Perfilieva, Ph.D. is Full Professor, Senior Scientist, and
Head of the Department of Theoretical Research at the Institute for
Research and Applications of Fuzzy Modeling, University of Ostrava,
Czech Republic.
Antonín Dvorák, Ph.D. is Associate Professor, and Senior Scientist
at the Institute for Research and Applications of Fuzzy Modeling,
University of Ostrava, Czech Republic.
