An Introduction to Analytical Fuzzy Plane Geometry

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 descri...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ghosh, Debdas (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Chakraborty, Debjani (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Studies in Fuzziness and Soft Computing, 381
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03896nam a2200565 4500
001 978-3-030-15722-7
003 DE-He213
005 20191021232434.0
007 cr nn 008mamaa
008 190513s2019 gw | s |||| 0|eng d
020 |a 9783030157227  |9 978-3-030-15722-7 
024 7 |a 10.1007/978-3-030-15722-7  |2 doi 
040 |d GrThAP 
050 4 |a Q342 
072 7 |a UYQ  |2 bicssc 
072 7 |a TEC009000  |2 bisacsh 
072 7 |a UYQ  |2 thema 
082 0 4 |a 006.3  |2 23 
100 1 |a Ghosh, Debdas.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 3 |a An Introduction to Analytical Fuzzy Plane Geometry  |h [electronic resource] /  |c by Debdas Ghosh, Debjani Chakraborty. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XIII, 206 p. 53 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Studies in Fuzziness and Soft Computing,  |x 1434-9922 ;  |v 381 
505 0 |a 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. 
520 |a 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. 
650 0 |a Computational intelligence. 
650 0 |a Mathematical optimization. 
650 0 |a Optical data processing. 
650 0 |a Signal processing. 
650 0 |a Image processing. 
650 0 |a Speech processing systems. 
650 1 4 |a Computational Intelligence.  |0 http://scigraph.springernature.com/things/product-market-codes/T11014 
650 2 4 |a Optimization.  |0 http://scigraph.springernature.com/things/product-market-codes/M26008 
650 2 4 |a Computer Imaging, Vision, Pattern Recognition and Graphics.  |0 http://scigraph.springernature.com/things/product-market-codes/I22005 
650 2 4 |a Signal, Image and Speech Processing.  |0 http://scigraph.springernature.com/things/product-market-codes/T24051 
700 1 |a Chakraborty, Debjani.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783030157210 
776 0 8 |i Printed edition:  |z 9783030157234 
776 0 8 |i Printed edition:  |z 9783030157241 
830 0 |a Studies in Fuzziness and Soft Computing,  |x 1434-9922 ;  |v 381 
856 4 0 |u https://doi.org/10.1007/978-3-030-15722-7  |z Full Text via HEAL-Link 
912 |a ZDB-2-INR 
950 |a Intelligent Technologies and Robotics (Springer-42732)