Mathematics of Fuzziness—Basic Issues

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Abstract

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.

Details

Original languageEnglish
Place of PublicationBerlin, Germany
PublisherSpringer
Number of pages219
Volume1
Edition1
ISBN (Print)978-3-540-78310-7
Publication statusPublished - May 2009

Publication series

NameStudies in Fuzziness and Soft Computing
No.ISSN 1434-9922

Keywords

  • AI, computer engineering, fuzzy logic

ID: 73392