TY  - BOOK
AU  - Wang,Xuzhu
AU  - Ruan,Da
AU  - Kerre,Etienne E.
TI  - Mathematics of fuzziness: basic issues 
T2  - Studies in fuzziness and soft computing,
SN  - 9783642097003
U1  - 511.3223 W X M 21
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer
KW  - Fuzzy sets
KW  - Textbooks
KW  - Fuzzy logic
KW  - Fuzzy mathematics
KW  - Reasoning
KW  - Mathematical models
KW  - Fuzzy-Menge
KW  - Lehrbuch
KW  - swd
N1  - Includes bibliographical references (p. [207]-215) and index; Preliminaries -- Basics of fuzzy sets -- Fuzzy relations -- Extension principle and fuzzy numbers -- A brief introduction to some pure mathematical topics -- Fuzzy inference and fuzzy control
N2  - 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--
ER  -