Mathematics of Fuzziness – Basic Issues introduces a basic notion of
‘fuzziness’ and provides a conceptual mathematical framework to characterize
such fuzzy phenomena in Studies in Fuzziness
and Soft Computing. The book systematically presents a self-contained
introduction to the essentials of
mathematics of fuzziness ranging from fuzzy
sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy
integrals, and fuzzy topology to
fuzzy control in a strictly mathematical
manner. It contains most of the authors’ research results in the field of fuzzy
set theory and has evolved from the
authors’ lecture notes to both undergraduate
and graduate students over the last three decades. A lot of exercises in each
chapter of the book are
particularly suitable as a textbook for any
undergraduate and graduate student in mathematics, computer science and
engineering.
The reading of the book will surely lay a
solid foundation for further research on fuzzy set theory and its applications.
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