An Introduction to Analytical Fuzzy Plane Geometry

Nonfiction, Science & Nature, Mathematics, Applied, Computers, Advanced Computing, Artificial Intelligence, General Computing
Cover of the book An Introduction to Analytical Fuzzy Plane Geometry by Debdas Ghosh, Debjani Chakraborty, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Debdas Ghosh, Debjani Chakraborty ISBN: 9783030157227
Publisher: Springer International Publishing Publication: May 13, 2019
Imprint: Springer Language: English
Author: Debdas Ghosh, Debjani Chakraborty
ISBN: 9783030157227
Publisher: Springer International Publishing
Publication: May 13, 2019
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Modern Manufacturing Engineering by Debdas Ghosh, Debjani Chakraborty
Cover of the book Descriptive Topology and Functional Analysis II by Debdas Ghosh, Debjani Chakraborty
Cover of the book Service Orientation in Holonic and Multi-Agent Manufacturing by Debdas Ghosh, Debjani Chakraborty
Cover of the book Law, Language and Translation by Debdas Ghosh, Debjani Chakraborty
Cover of the book Bridging Algebra, Geometry, and Topology by Debdas Ghosh, Debjani Chakraborty
Cover of the book Food Across Cultures by Debdas Ghosh, Debjani Chakraborty
Cover of the book The Active Image by Debdas Ghosh, Debjani Chakraborty
Cover of the book Reviews of Environmental Contamination and Toxicology Volume 239 by Debdas Ghosh, Debjani Chakraborty
Cover of the book Top 50 Dermatology Case Studies for Primary Care by Debdas Ghosh, Debjani Chakraborty
Cover of the book Four Pillars of Radio Astronomy: Mills, Christiansen, Wild, Bracewell by Debdas Ghosh, Debjani Chakraborty
Cover of the book Epigenetics, Energy Balance, and Cancer by Debdas Ghosh, Debjani Chakraborty
Cover of the book Aiming Big with Small Cars by Debdas Ghosh, Debjani Chakraborty
Cover of the book The Varieties of Authorial Intention by Debdas Ghosh, Debjani Chakraborty
Cover of the book Organizing Democracy by Debdas Ghosh, Debjani Chakraborty
Cover of the book Novel Functional Materials Based on Cellulose by Debdas Ghosh, Debjani Chakraborty
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy