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An Introduction to Analytical Fuzzy Plane Geometry

Af: Debjani Chakraborty, Debdas Ghosh Engelsk Hardback

An Introduction to Analytical Fuzzy Plane Geometry

Af: Debjani Chakraborty, Debdas Ghosh Engelsk Hardback
Tjek vores konkurrenters priser

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 206
ISBN-13: 9783030157210
Indbinding: Hardback
Udgave:
ISBN-10: 3030157210
Kategori: Fuzzy mængdelære
Udg. Dato: 22 maj 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 22 maj 2019
Forfatter(e) Debjani Chakraborty, Debdas Ghosh


Kategori Fuzzy mængdelære


ISBN-13 9783030157210


Sprog Engelsk


Indbinding Hardback


Sider 206


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 22 maj 2019


Oplagsdato 22 maj 2019


Forlag Springer Nature Switzerland AG

Kategori sammenhænge