Intuitionistic type-2 fuzzy set approach to image thresholding

In this paper, an image thresholding method based on Intuitionistic Type-2 Fuzzy Sets (InT2FS) method is introduced for the segmentation problems. Besides, intuitionistic type-2 fuzzy set has been formed as an extension of intuitionistic fuzzy set for handling uncertainty. As we know, the image data which usually contains noises or uncertainty so then utilizing the advantages of the InT2FS, we have introduced a thresholding algorithm using InT2FS for image thresholding. Experimental results with different types of images show that the proposed algorithm is better than the traditional thresholding algorithms especially with noisy images.

[1]  Ciro Castiello,et al.  Document page segmentation using neuro-fuzzy approach , 2008, Appl. Soft Comput..

[2]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[3]  Humberto Bustince,et al.  Image thresholding using restricted equivalence functions and maximizing the measures of similarity , 2007, Fuzzy Sets Syst..

[4]  Mao-Jiun J. Wang,et al.  Image thresholding by minimizing the measures of fuzzines , 1995, Pattern Recognit..

[5]  B. Ripley,et al.  Pattern Recognition , 1968, Nature.

[6]  D. Ville,et al.  Fuzzy Filters for Image Processing , 2003 .

[7]  Ku Chin Lin,et al.  Fast image thresholding by finding the zero(s) of the first derivative of between-class variance , 2003, Machine Vision and Applications.

[8]  Jerry M. Mendel,et al.  Operations on type-2 fuzzy sets , 2001, Fuzzy Sets Syst..

[9]  Gian Luca Foresti,et al.  Real-time thresholding with Euler numbers , 2003, Pattern Recognit. Lett..

[10]  Hamid R. Tizhoosh,et al.  Image thresholding using type II fuzzy sets , 2005, Pattern Recognit..

[11]  James M. Keller,et al.  Fuzzy Models and Algorithms for Pattern Recognition and Image Processing , 1999 .

[12]  Humberto Bustince,et al.  Construction theorems for intuitionistic fuzzy sets , 1996, Fuzzy Sets Syst..

[13]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[14]  Paul L. Rosin.  Unimodal thresholding , 2001, Pattern Recognit..

[15]  Hong Yan,et al.  Optimal Image Thresholding , 1996 .

[16]  Humberto Bustince,et al.  Image Thresholding Computation Using Atanassov's Intuitionistic Fuzzy Sets , 2007, J. Adv. Comput. Intell. Intell. Informatics.

[17]  Jerry M. Mendel,et al.  Interval type-2 fuzzy logic systems , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[18]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[19]  Humberto Bustince,et al.  Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets , 1996, Fuzzy Sets Syst..

[20]  Hong Yan,et al.  Unified formulation of a class of image thresholding techniques , 1996, Pattern Recognit..

[21]  Humberto Bustince,et al.  Image segmentation using Atanassov's intuitionistic fuzzy sets , 2013, Expert systems with applications.

[22]  Bülent Sankur,et al.  Survey over image thresholding techniques and quantitative performance evaluation , 2004, J. Electronic Imaging.