Fuzzy theory has become a subject that generates much interest
among the courses for graduate students. However, it was not easy
to find a suitable textbook to use in the introductory course and
to recommend to the students who want to self-study. The main
purpose of this book is just to meet that need. The author has
given lectures on the fuzzy theory and its applications for ten
years and continuously developed lecture notes on the subject. This
book is a publication of the modification and summary of the
lecture notes. The fundamental idea of the book is to provide basic
and concrete concepts of the fuzzy theory and its applications, and
thus the author focused on easy illustrations of the basic
concepts. There are numerous examples and figures to help readers
to understand and also added exercises at the end of each chapter.
This book consists of two parts: a theory part and an application
part. The first part (theory part) includes chapters from 1 to 8.
Chapters 1 and 2 introduce basic concepts of fuzzy sets and
operations, and Chapters 3 and 4 deal with the multi-dimensional
fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to
the number and function, and Chapters 7 and 8 are developments of
fuzzy properties on the probability and logic theories.
General
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