Fuzzy Mathematics

This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic. Fuzzy mathematics is the mathematics of vagueness, a universal property of this world. There are many objects that are called vague because they cannot be precisely defined. Since vagueness is so common, a tool is needed to describe it and to effectively deal with it. Fuzzy mathematics is such a tool, and it is used by most researchers and scholars. As such, this book provides a short overview of the field written for non-specialists. This book allows readers to delve into the theory of fuzzy sets and introduces core mathematical ideas without using the usual formalities of books in mathematics, i.e. theorems, proofs, etc.

In addition, this book:

• Introduces core mathematical ideas and allows readers to delve into the theory of fuzzy sets
• Avoids mathematical formalities, i.e. theorems, proofs, etc., aiding readers without a strong mathematical background
• Explains how to mathematically describe vagueness using fuzzy sets and fuzzy logic

About the Author

Apostolos Syropoulos holds a B.Sc. in Physics, an M.Sc. in Computer Science, and a Ph.D. in Theoretical Computer Science. His research interests focus on computability theory, category theory, fuzzy set theory, and digital typography. He has authored or co-authored 12 books, co-edited two books, and over 60 papers and articles.