[1] O. AbuAarqob, N. Shawagfeh and O. AbuGhneim, Functions dened on fuzzy real numbers
according to zadehs extension, International Mathematical Forum, (2008), 763-776.
[2] A. J. Baddeley, An error metric for binary images, Robust Computer Vision-Quality of
Vision Algorithms, (1992), 59-78.
[3] M. Basu, Gaussian-based edge-detection methodsa survey, IEEE Transactions on Systems
Man, and CyberneticsPart C, 32(3) (2002), 252-260.
[4] J. C. Bezdek, R. Chandrasekhar and Y. Attikiouzel, A geometric approach to edge detection,
IEEE Transaction on Fuzzy Systems, 6(1) (1998), 52-75.
[5] V. Boskovitz and H. Guterman, An adaptive neuro-fuzzy system for automatic image seg-
mentation and edge detection, IEEE Transactions on Fuzzy Systems, 10 (2002), 247-262.
[6] D. Brzakovic and L. Hong, Road edge detection for mobile robot navigation, In Proceedings
of IEEE International Conference on Robotics and Automation, Scottsdale, AZ , USA, 2
(1989), 1143-1147.
[7] S. M. Chen, New methods for subjective mental workload assessment and fuzzy risk analysis,
Cybernetics and Systems, 27 (1996), 449-472.
[8] K. David A. and B. James C, Edge detection using a fuzzy neural network, Science of Articial
Neural Networks, 1710 (1992), 510-521.
[9] C. Ducottet, T. Fournel and C. Barat, Scale-adaptive detection and local characterization of
edges based on wavelet transform, Signal Processing, 84(11) (2004), 2115-2137.
[10] T. Hou and W. Kuo, A new edge detection method for automatic visual inspection, The
International Journal of Advanced Manufacturing Technology, 13 (1997), 407-412.
[11] J. S. R. Jang, C. T. Sun and E. Mizutani, Neuro-fuzzy and soft computing- a computational
approach to learning and machine intelligence, Prentice-Hall of India Pvt. Ltd., New Delhi,
2006.
[12] S. Karungaru, M. Fukumi, N. Akamatsu and T. Akashi, A simple 3D edge template for pose
invariant face detection, Lecture Notes in Computer Science, 4253 (2006), 692-698.
[13] H. Kim, J. Lee, D. Kim, H. Yoon and S. Chi, Motion and natural hand detection for gesture
recognition, SICE-ICASE,International Joint Conference, Busan,Korea, (2006), 313-316.
[14] T. Law, H. Itoh and H. Seki, Image ltering, edge detection, and edge tracing using fuzzy
reasoning, IEEE Transactions on Pattern Analysis and Machine Intelligence, 18 (1996), 481-
491.
[15] L. R. Liang and C. G. Looney, Competitive fuzzy edge detection, Applied Soft Computing, 3
(2003), 123-137.
[16] D. H. Lim, Robust edge detection in noisy images, Computational Statistics and Data Anal-
ysis, 50 (2006), 803-812.
[17] C. Lopez-Molina, H. Bustince, J. Fernandez, P. Couto and B. De Baets, A gravitational
approach to edge detection based on triangular norms, Pattern Recognition, 43(11) (2010),
3730-3741.
[18] S. Lu, Z.Wang and J. Shen, Neuro-fuzzy synergism to the intelligent system for edge detection
and enhancement, Pattern Recognition, 36 (2003), 2395-2409.
[19] D. Marr and E. Hildreth, Theory of edge detection, Proceedings Royal Soc.London, 207
(1980), 187-217.
[20] A. Maturo, On some structures of fuzzy numbers, Iranian Journal of Fuzzy Systems, 6 (2009),
49-59.
[21] R. Medina-Carnicer, A. Carmona-Poyato, R. Muoz-Salinas and F. J. Madrid-Cuevas, Deter-
mining hysteresis thresholds for edge detection by combiningthe advantages and disadvantages
of thresholding methods, IEEE Transactionson Image Processing, 19(1) (2010), 165-173.
[22] R. Medina-Carnicer, F. Madrid-Cuevas, A. Carmona-Poyato and R. M. noz Salinas, On
candidates selection for hysteresis thresholds in edge detection, PatternRecognition, 42(7)
(2009), 1284-1296.
[23] R. Medina-Carnicer and F. Madrid-Cuevas, Unimodal thresholding for edgeDetection, Pattern
Recognition, 41(7) (2008), 2337-2346.
[24] R. Medina-Carnicer, F. Madrid-Cuevas, R. Muoz-Salinas and A. Carmona-Poyato, Solving
the process of hysteresis without determining the optimal thresholds, Pattern Recognition,
43(4) (2010), 1224-1232.
[25] H. Meng, M. Freeman, N. Pears and C. Bailey, Real-time human action recognition on an em-
bedded, recongurable video processing architecture, Journal of Real-Time Image Processing,
3 (2008), 163-176.
[26] S. Morillas, V. Gregori and Antonio. Hervs, Fuzzy peer groups for reducing mixed gaussian-
impulse noise from color images, IEEE Transaction on Image Processing, 18(7) (2009),
1452-1466.
[27] J. Musevi-Niya and A. Aghagolzadeh, Adaptive directional wavelet-based edge detection, 2nd
International Symposium on Telecommunications (IST2003), Isfahan, Iran, (2003), 191-195.
[28] H. Nezamabadi-pour, S. Saryazdi and E. Rashedi, Edge detection using ant algorithms, Soft
Computing, 10 (2005), 623-628.
[29] E. Pasha, A. Saiedifar and B. Asady, The percentiles of fuzzy numbers and their applications,
Iranian Journal of Fuzzy Systems, 6 (2009), 27-44.
[30] W. K. Pratt, Digital image processing, John Wiley and Sons, 2001.
[31] G. Roy Jun and W. Voxman, Topological properties of fuzzy numbers, Fuzzy Sets and Systems,
10(1-3) (1983), 87-99.
[32] X. Ruoning, A linear regression model in fuzzy environment, Adv. Modelling Simulation, 27
(1991), 31-40.
[33] F. Russo and G. Ramponi, Edge extraction by FIRE operators , in IEEE World Congress on
Computational Intelligence, 1 (1994), 249-253.
[34] J. I. Siddigue and K. E.Barner, Wavelet-based multi-resolution edge detection utilizing gray
level edge maps, International Conference on Image Processing (ICIP 98), (1998), 550-554.
[35] B. Sridevi and R. Nadarajan, Fuzzy similarity measure for generalized fuzzy numbers, Inter-
national Journal of Open Problems in Computer Science and Mathematics, 2 (2009), 240-253.
[36] P. Terry and D. Vu, Edge detection using neural networks, In IEEE Proceedings of 27th
Asilomar Conference on Signals, Systems and Computers, (1993), 391-395.
[37] V. Torre and T. Poggio, On edge detection, Massachusetts Institute of Technology-Articial
Intelligence Laboratory, 1984.
[38] D. Van De Ville, M. Nachtegael, D. Van Der Weken, E. Kerre, W. Philips and I. Lemahieu,
Noise reduction by fuzzy image ltering, IEEE Transactions on Fuzzy Systems, 11 (2003),
429-436.
[39] J. Wu, Z. Yin and Y. Xiong, The fast multilevel fuzzy edge detection of blurry images, IEEE
Signal Processing Letters, 14 (2007), 344-347.
[40] R. Xu and C. Li, Multidimensional least-squares tting with a fuzzy model, Fuzzy Sets and
Systems, 119 (2001), 215-223.
[41] F. Yang, S. Wan and Y. Chang, Improved method for gradient-threshold edge detector based
on HVS, Lecture Notes in Computer Science, 3801 (2005), 1051-1056.
[42] S. Yi, D. Labate, G. R. Easley and H. Krim, A shearlet approach to edge analysis and
detection, Trans. Image Proc,18(15) (2009), 1057-7149.
[43] X. Zong and W. Liu, Fuzzy edge detection based on wavelets transform, Machine Learning
and Cybernetics, International Conference, (2008), 2869-2873.