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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.
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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