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 Hybrid Metaheuristics by Debdas Ghosh, Debjani Chakraborty
Cover of the book Cross-Cultural Design. Applications in Cultural Heritage, Creativity and Social Development by Debdas Ghosh, Debjani Chakraborty
Cover of the book Contemporary Issues in African Society by Debdas Ghosh, Debjani Chakraborty
Cover of the book Gain-Cell Embedded DRAMs for Low-Power VLSI Systems-on-Chip by Debdas Ghosh, Debjani Chakraborty
Cover of the book Ultrafast Quantum Effects and Vibrational Dynamics in Organic and Biological Systems by Debdas Ghosh, Debjani Chakraborty
Cover of the book Dimensional Corporate Governance by Debdas Ghosh, Debjani Chakraborty
Cover of the book Progress in Cryptology – LATINCRYPT 2017 by Debdas Ghosh, Debjani Chakraborty
Cover of the book Bond Graph Model-based Fault Diagnosis of Hybrid Systems by Debdas Ghosh, Debjani Chakraborty
Cover of the book Context-Enhanced Information Fusion by Debdas Ghosh, Debjani Chakraborty
Cover of the book Tectonic Inheritance in Continental Rifts and Passive Margins by Debdas Ghosh, Debjani Chakraborty
Cover of the book Evolutionary Computation in Combinatorial Optimization by Debdas Ghosh, Debjani Chakraborty
Cover of the book Shadow Education as Worldwide Curriculum Studies by Debdas Ghosh, Debjani Chakraborty
Cover of the book Cardiac Emergencies in Children by Debdas Ghosh, Debjani Chakraborty
Cover of the book A Philosophy of Humour by Debdas Ghosh, Debjani Chakraborty
Cover of the book Bioremediation in Latin America 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