Mathematics of Fuzziness – Basic Issues

  • Xuzhu Wang
  • Da Ruan
  • Etienne E. Kerre

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 245)

Table of contents

  1. Front Matter
  2. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 1-20
  3. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 21-64
  4. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 65-111
  5. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 113-151
  6. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 153-188
  7. Xuzhu Wang, Da Ruan, Etienne E. Kerre
    Pages 189-205
  8. Back Matter

About this book


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.


AI Algebra Computer Engineering Computer Science Computer-Aided Design (CAD) Extension Fuzzy Fuzzy Logic Fuzzy Mathematics Fuzzy Sets Theory fuzzy control fuzzy set fuzzy sets

Authors and affiliations

  • Xuzhu Wang
    • 1
  • Da Ruan
    • 2
  • Etienne E. Kerre
    • 3
  1. 1.Taiyuan University of TechnologyChina
  2. 2.Belgian Nuclear Research Centre and Ghent UniversityBelgium
  3. 3.Ghent UniversityBelgium

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-540-78310-7
  • Online ISBN 978-3-540-78311-4
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site