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Studies in Fuzziness and Soft Computing

An Introduction to Analytical Fuzzy Plane Geometry

Authors: Ghosh, Debdas, Chakraborty, Debjani

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  • Shows how to apply fuzzy geometry to solve basic multi-objective optimization problems
  • Focuses on two-dimensional analytical fuzzy geometry
  • Includes several diagrams and numerical illustrations
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eBook $119.00
price for USA (gross)
  • ISBN 978-3-030-15722-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA
  • ISBN 978-3-030-15721-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book offers a rigorous mathematical analysis of fuzzy geometrical ideas. It demonstrates the use of fuzzy points for interpreting an imprecise location and for representing an imprecise line by a fuzzy line. Further, it shows that a fuzzy circle can be used to represent a circle when its description is not known precisely, and that fuzzy conic sections can be used to describe imprecise conic sections. Moreover, it discusses fundamental notions on fuzzy geometry, including the concepts of fuzzy line segment and fuzzy distance, as well as key fuzzy operations, and includes several diagrams and numerical illustrations to make the topic more understandable. The book fills an important gap in the literature, providing the first comprehensive reference guide on the fuzzy mathematics of imprecise image subsets and imprecise geometrical objects. Mainly intended for researchers active in fuzzy optimization, it also includes chapters relevant for those working on fuzzy image processing and pattern recognition. Furthermore, it is a valuable resource for beginners interested in basic operations on fuzzy numbers, and can be used in university courses on fuzzy geometry, dealing with imprecise locations, imprecise lines, imprecise circles, and imprecise conic sections.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-030-15722-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA
  • ISBN 978-3-030-15721-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Analytical Fuzzy Plane Geometry
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
381
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-15722-7
DOI
10.1007/978-3-030-15722-7
Hardcover ISBN
978-3-030-15721-0
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XIII, 206
Number of Illustrations
53 b/w illustrations
Topics