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.
| ISBN: | 9783030157241 |
| Publication date: | 14th August 2020 |
| Author: | Debdas Ghosh, Debjani Chakraborty |
| Publisher: | Springer Nature Switzerland AG |
| Format: | Paperback |
| Pagination: | 206 pages |
| Series: | Studies in Fuzziness and Soft Computing |
| Genres: |
Neural networks and fuzzy systems Optimization Imaging systems and technology Fuzzy set theory |
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.
An Introduction to Analytical Fuzzy Plane Geometry features in the following genres: Neural networks and fuzzy systems, Optimization, Imaging systems and technology, Fuzzy set theory
An Introduction to Analytical Fuzzy Plane Geometry is available in Paperback, Hardback
An Introduction to Analytical Fuzzy Plane Geometry was written by Debdas Ghosh, Debjani Chakraborty and published by Springer Nature Switzerland AG
An Introduction to Analytical Fuzzy Plane Geometry has 206 pages
Yes it is part of Studies in Fuzziness and Soft Computing series
£80.99