Research output: Report/book › Book as author › peer-review

**Mathematics of Fuzziness—Basic Issues.** / Wang, Xuzhu; Ruan, Da; Kerre, Etienne; Kabak, Özgür (Peer reviewer).

Research output: Report/book › Book as author › peer-review

Wang, X, Ruan, D, Kerre, E & Kabak, Ö 2009, *Mathematics of Fuzziness—Basic Issues*. Studies in Fuzziness and Soft Computing, no. ISSN 1434-9922, vol. 1, 1 edn, Springer, Berlin, Germany.

Wang, X., Ruan, D., Kerre, E., & Kabak, Ö. (2009). *Mathematics of Fuzziness—Basic Issues*. (1 ed.) (Studies in Fuzziness and Soft Computing; No. ISSN 1434-9922). Springer.

Wang X, Ruan D, Kerre E, Kabak Ö. Mathematics of Fuzziness—Basic Issues. 1 ed. Berlin, Germany: Springer, 2009. 219 p. (Studies in Fuzziness and Soft Computing; ISSN 1434-9922).

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title = "Mathematics of Fuzziness—Basic Issues",

abstract = "Mathematics of Fuzziness—Basic Issues introduces a basic notion of {\textquoteleft}fuzziness{\textquoteright} 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{\textquoteright} research results in the field of fuzzy set theory and has evolved from the authors{\textquoteright} 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.",

keywords = "AI, computer engineering, fuzzy logic",

author = "Xuzhu Wang and Da Ruan and Etienne Kerre and {\"O}zg{\"u}r Kabak",

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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.

AB - 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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KW - fuzzy logic

UR - http://knowledgecentre.sckcen.be/so2/bibref/6041

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ID: 73392