Studies in Fuzziness and Soft Computing

Fuzzy Implications

Authors: Baczyński, Michał, Jayaram, Balasubramaniam

  • First book in the fertile area of Fuzzy Implication operators

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eBook $189.00
price for USA (gross)
  • ISBN 978-3-540-69082-5
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-540-69080-1
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  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
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  • ISBN 978-3-642-08861-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Fuzzy Implications (FIs) generalize the classical implication and play a similar important role in Fuzzy Logic (FL), both in FL_n and FL_w in the sense of Zadeh. Their importance in applications of FL, viz., Approximate Reasoning (AR), Decision Support Systems, Fuzzy Control (FC), etc., is hard to exaggerate. This treatise is perhaps the first attempt at dealing exclusively with this class of operations.

The book begins with an introduction to FIs along with their desirable properties and investigates their inter-relationships. The reminder of the book is divided into 3 parts. Part I is an analytical study of FIs, detailing the different ways of obtaining FIs, generally called as families of FIs, the various properties they satisfy and the overlaps that exist among them. Part II is an algebraic exploration into the structures that exist on the set of all FIs, while the final part highlights the effecting role FIs with their myriad properties play in the inference schemes in AR.

This book is intended for any researcher in FL operations and it can serve as an auxiliary textbook for different courses on FL or FC. Parts of this book may also be of interest to practitioners in applications of FL, especially in AR or FC, where FIs play a central role.

Table of contents (8 chapters)

  • An Introduction to Fuzzy Implications

    Baczyński, Michał (et al.)

    Pages 1-35

  • Fuzzy Implications from Fuzzy Logic Operations

    Baczyński, Michał (et al.)

    Pages 39-107

  • Fuzzy Implications from Generator Functions

    Baczyński, Michał (et al.)

    Pages 109-125

  • Intersections between Families of Fuzzy Implications

    Baczyński, Michał (et al.)

    Pages 127-143

  • Fuzzy Implications from Uninorms

    Baczyński, Michał (et al.)

    Pages 145-177

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-540-69082-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-540-69080-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-642-08861-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Implications
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
231
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69082-5
DOI
10.1007/978-3-540-69082-5
Hardcover ISBN
978-3-540-69080-1
Softcover ISBN
978-3-642-08861-2
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XVIII, 310
Topics