UPSI Digital Repository (UDRep)
Start | FAQ | About
Menu Icon

QR Code Link :

Type :article
Subject :Q Science (General)
Main Author :Abdul Fatah Wahab
Additional Authors :Mohammad Izat Emir Zulkifly
Title :Visualization of Intuitionistic Fuzzy B-Spline Space Curve and Its Properties
Place of Production :Tanjong Malim
Publisher :Fakulti Sains dan Matematik
Year of Publication :2019
Corporate Name :Universiti Pendidikan Sultan Idris

Abstract : Universiti Pendidikan Sultan Idris
In this paper, an intuitionistic fuzzy B-spline space curve is defined and some of its properties is introduced. Firstly, intuitionistic fuzzy control point is defined based on intuitionistic fuzzy and geometrical modeling concepts. Each of the control point relation that consists of three function is find and shown. Later, the control point is blended with B-spline basis function and intuitionistic fuzzy B-spline curve is visualized. Some of the control point and space curve properties in the Euclidean space is also discussed throughout this paper  

References

[1]J. Hoschek, and D. Lasser, Fundamentals of Computer Aided Geometric Design(A. K. Peters, CRC Press, Wellesley,MA, 1993).

[2]L. A. Zadeh, Information and Control, 8(3), 338, (1965).

[3]K. T. Atanassov, “Intuitionistic Fuzzy Sets”, VII ITKR’s Session, Sofia, Bulgarian, 1983.

[4]K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications(Physica-Verlag HD, New York, 1999).

[5]K. T. Atanassov and G. Gargov, Fuzzy Sets and Systems, 3, 343, (1989).

[6]M. Hassaballah and A. Ghareeb, Applied Soft Computing,57, 48, (2017).

[7]T. Ciftcibasi and D. Altunay, IEEE Transactions on Systems, Man, and Cybernetics –Part A: Systems and Humans, 28(5), 662, (1998).

[8]M. I. E. Zulkifly and A. F. Wahab, Malaysia Journal of Fundamental and Applied Sciences, 11(1), 21, (2015).

[9]A. F. Wahab, M. I. E. Zulkifly. and M. S. Husain, AIP Conference Proceedings, 1750(1), 030047-1, (2016).

[10]M. I. E. Zulkifly, and A. F. Wahab, AIP Conference Proceedings, 1974(1), 020064, (2018).

[11]A. F. Wahab, and M. I. E. Zulkifly, AIP Conference Proceedings, 1974(1), 020031, (2018).

[12] A. F. Wahab, and M. I. E. Zulkifly., Far East Journal of Mathematical Sciences (FJMS). 106(1), 217, (2018).

[13]M. I. E. Zulkifly, Ph.D. dissertation, Universiti Malaysia Terengganu, Terengganu,2018.

[14]A.  Davies  and  Philip  Samuels, An  Introduction  to  computational  Geometry  for  Curves  and  Surfaces(ClarendonPress, Oxford, 1996).

[15]M.  I.  E.  Zulkifly,  and  A.  F.  Wahab,  B-spline  Curve  Interpolation  Model  by  Using  Intuitionistic  Fuzzy Approach, IAENG International Journal of Applied Mathematics (IJAM). Accepted for publication.


This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials.
You may use the digitized material for private study, scholarship, or research.

Back to previous page

Installed and configured by Bahagian Automasi, Perpustakaan Tuanku Bainun, Universiti Pendidikan Sultan Idris
If you have enquiries, kindly contact us at pustakasys@upsi.edu.my or 016-3630263. Office hours only.