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Studies in Fuzziness and Soft Computing

Axiomatic Fuzzy Set Theory and Its Applications

Authors: Liu, Xiaodong, Pedrycz, Witold

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  • First comprehensive, authoritative and up-to-date publication on Axiomatic Fuzzy Set theory
  • Covers detailed mathematical proofs and algorithms
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About this book

In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with human perception and described in natural language and uncertainty captured in the form of randomness. This treatise develops the fundamentals and methodology of Axiomatic Fuzzy Sets (AFS), in which fuzzy sets and probability are treated in a unified and coherent fashion. It offers an efficient framework that bridges real world problems with abstract constructs of mathematics and human interpretation capabilities cast in the setting of fuzzy sets.

In the self-contained volume, the reader is exposed to the AFS being treated not only as a rigorous mathematical theory but also as a flexible development methodology for the development of intelligent systems.

The way in which the theory is exposed helps reveal and stress linkages between the fundamentals and well-delineated and sound design practices of practical relevance. The algorithms being presented in a detailed manner are carefully illustrated through numeric examples available in the realm of design and analysis of information systems.

The material can be found equally advantageous to the readers involved in the theory and practice of fuzzy sets as well as those interested in mathematics, rough sets, granular computing, formal concept analysis, and the use of probabilistic methods.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-3-642-00402-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-642-00401-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $219.99
price for USA in USD
  • ISBN 978-3-642-10146-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Axiomatic Fuzzy Set Theory and Its Applications
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
244
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-00402-5
DOI
10.1007/978-3-642-00402-5
Hardcover ISBN
978-3-642-00401-8
Softcover ISBN
978-3-642-10146-5
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XVIII, 514
Topics

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