An Introduction to Analytical Fuzzy Plane Geometry by Debdas Ghosh (English) Har

Description: An Introduction to Analytical Fuzzy Plane Geometry by Debdas Ghosh, Debjani Chakraborty 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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 Introduction.- Basic ideas on fuzzy plane geometry I.- Fuzzy line.- Fuzzy triangle and fuzzy trigonometry.- Fuzzy Circle.- Fuzzy Parabola.- Fuzzy Pareto–optimality.- Concluding Remarks and Future Directions. Feature 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 Description for Sales People 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 Details ISBN3030157210 Author Debjani Chakraborty Year 2019 ISBN-10 3030157210 ISBN-13 9783030157210 Format Hardcover Pages 206 Publication Date 2019-05-22 Language English DOI 10.1007/978-3-030-15722-7 Series Number 381 UK Release Date 2019-05-22 Edition 1st Place of Publication Cham Country of Publication Switzerland Illustrations 53 Illustrations, black and white; XIII, 206 p. 53 illus. Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2019 Series Studies in Fuzziness and Soft Computing Imprint Springer Nature Switzerland AG Alternative 9783030157241 DEWEY 006.3 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:130675099;

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