Offline handwritten signature verification using Alpha Cut of Triangular Fuzzy Number (TFN)
DOI:
https://doi.org/10.11113/mjfas.v6n2.199Keywords:
Alpha-cut, Triangular fuzzy number, Confidence fuzzy interval, Fuzzy interpolation rational cubic Bezier curve,Abstract
A new approach in verification of offline handwriting signature had been proposed. This approach use alpha-cut of triangular fuzzy number in verification of the signature where the value of alpha-cut will reduce the interval of confidence fuzzy interval. The best value of alpha-cut will make the confidence fuzzy interval in the smallest interval which the best confidence fuzzy interval consists less number of signature from the present number of the signature. Then, defuzzification method is used to achieve defuzzification signature. The signatures modeled by piecewise fuzzy interpolation rational cubic Bezier curve.
References
Azhar Ahmad dan Jamaludin Md. Ali, Mencirikan Lengkung Kubik Nisbah Alternatif. MATEMATIKA, 22(1) (2006) 77-89.
K. Huang and H. Yan, Off-line signature verification based on geometric feature extraction and neural network classification. Pattern Recognition,
(1) (1997) 9-17.
M.K. Kalera, S. Srihari and A. Xu, Offline Signature Verification and Identification Using Distance Statistic. International Journal of Pattern
Recognition and Artificial. 18(7) (2004) 1339-1360.
G.J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice-Hall, Englewood Cliffs, NJ, 1995.
M. Sarfraz, Z. Habib, and M. Hussain, Piecewise interpolation for designing of parametric curves. Information Visualization. Proceedings. IEEE
Conference on 29-31 July 1998, (1998) 307 – 313.
A.P. Shanker and A.N. Rajagopalan, Offline signature verification using DTW. Pattern Recognition Letters, 28(12) (2007) 1407-1414.
A.F. Wahab, J.M. Ali, A.A. Majid, and A.O.M. Tap,. Fuzzy set in geometry in modeling. Proceeding of International Conference on Computer
Graphics, Imaging, and Visualization, 2004. CGIV 2004, 26-29 July 2004. IEEE Computer Society. (2004) 227-232.
L.A. Zadeh, Fuzzy sets. Information and Control. 8(3) (1965) 338-353.
H.J. Zimmermann, Fuzzy Set Theory and its Applications. Kluwer Academic, Boston, M.A, 1985.
D. Dubois and H. Prade, Fuzzy Sets and System: Theory and Applications. Academic Press, New York, 1980.
G.J. Klir, U.S. Clair and B. Yuan, Fuzzy Set Theory: Foundation and Application. Prentice Hall, Upper Saddle River, NJ, 1997.
