Mathematics of Fuzziness – Basic Issues
By: by Xuzhu Wang, Da Ruan, Etienne E. Kerre ; edited by Janusz Kacprzyk
Contributors: Ruan, Da; Kacprzyk, Janusz; Kerre, Etienne E.; SpringerLink (Online service)
Series: Studies in Fuzziness and Soft Computing -- 245
Publisher: Springer Berlin Heidelberg
Published: 2009
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 219
ISBN-13: 9783540783107; 9783540783114
Subjects: Mathematics; Engineering; Engineering mathematics; Artificial intelligence
Description: 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--