An Introduction to Analytical Fuzzy Plane Geometry

• Main Authors: Ghosh, Debdas (Author, http://id.loc.gov/vocabulary/relators/aut), Chakraborty, Debjani (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Studies in Fuzziness and Soft Computing, 381
• Subjects: Computational intelligence.; Mathematical optimization.; Optical data processing.; Signal processing.; Image processing.; Speech processing systems.; Computational Intelligence.; Optimization.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Signal, Image and Speech Processing.

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...

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.