D. Zhai and J. Mendel, “Uncertainty measures for general type-2 fuzzy sets,” Inf. Sci. 181(3), 503–518 (2011).

J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, “Type-2 fuzzy sets as functions on spaces,” IEEE Trans. Fuzzy Syst. 18(4), 841–844 (2010).

Y. Xiao, Z. G. Cao, and S. Zhong, “New entropic thresholding approach using gray-level spatial correlation histogram,” Opt. Eng. 49(12), 127007 (2010).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

I. K. Vlachos and G. D. Sergiadis, “Comment on: ‘Image thresholding using type II fuzzy sets’,” Pattern Recognit. 41(5), 1810–1811 (2008).

H. Bustince, E. Barrenechea, and M. Pagola, “Image thresholding using restricted equivalence functions and maximizing the measures of similarity,” Fuzzy Sets Syst. 158(5), 496–516 (2007).

J. Mendel, “Advances in type-2 fuzzy sets and systems,” Inf. Sci. 177(1), 84–110 (2007).

J. Mendel, “Type-2 fuzzy sets and systems: An overview,” IEEE Comput. Intell. Mag. 2, 20–29 (2007).

D. Wu and J. Mendel, “Uncertainty measures for interval type-2 fuzzy sets,” Inf. Sci. 177(23), 5378–5393 (2007).

P. K. Sahoo and G. Arora, “Image thresholding using two-dimensional Tsallis-Havrda-Charvát entropy,” Pattern Recognit. Lett. 27(6), 520–528 (2006).

A. S. Pednekar and I. A. Kakadiaris, “Image segmentation based on fuzzy connectedness using dynamic weights,” IEEE Trans. Image Process. 15(6), 1555–1562 (2006).

[PubMed]

H. R. Tizhoosh, “Image thresholding using type II fuzzy sets,” Pattern Recognit. 38(12), 2363–2372 (2005).

M. Sezgin and B. Sankur, “Survey over image thresholding techniques and quantitative performance evaluation,” J. Electron. Imaging 13(1), 146–165 (2004).

P. K. Sahoo and G. Arora, “A thresholding method based on two-dimensional Renyi’s entropy,” Pattern Recognit. 37(6), 1149–1161 (2004).

J. Mendel and R. I. B. John, “Type-2 fuzzy sets made simple,” IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002).

Q. Wang, Z. Chi, and R. Zhao, “Image thresholding by maximizing the index of nonfuzziness of the 2-D grayscale histogram,” Comput. Vis. Image Underst. 85(2), 100–116 (2002).

O. J. Tobias and R. Seara, “Image segmentation by histogram thresholding using fuzzy sets,” IEEE Trans. Image Process. 11(12), 1457–1465 (2002).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Analysis of fuzzy thresholding schemes,” Pattern Recognit. 33(8), 1339–1349 (2000).

S. Di Zenzo, L. Cinque, and S. Levialdi, “Image thresholding using fuzzy entropies,” IEEE Trans. Syst. Man Cybern. B Cybern. 28(1), 15–23 (1998).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Investigations on fuzzy thresholding based on fuzzy clustering,” Pattern Recognit. 30(10), 1605–1613 (1997).

P. Burillo and H. Bustince, “Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets,” Fuzzy Sets Syst. 78(3), 305–316 (1996).

L. K. Huang and M. J. Wang, “Image thresholding by minimizing the measure of fuzziness,” Pattern Recognit. 28(1), 41–51 (1995).

J. Z. Liu and W. Q. Li, “The automatic thresholding of gray-level pictures via two-dimensional Otsu method,” Acta Automatica Sin. 19, 101–105 (1993) (in Chinese).

A. D. Brink, “Thresholding of digital images using two-dimensional entropies,” Pattern Recognit. 25(8), 803–808 (1992).

C. Murthy and S. Pal, “Fuzzy thresholding: mathematical framework, bound functions and weighted moving average technique,” Pattern Recognit. Lett. 11(3), 197–206 (1990).

N. R. Pal and S. K. Pal, “Entropic thresholding,” Signal Process. 16(2), 97–108 (1989).

A. S. Abutaleb, “Automatic thresholding of gray-level picture using two-dimensional entropy,” Comput. Vis. Graph. Image Process. 47(1), 22–32 (1989).

P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Comput. Graph. Image Process. 41(2), 233–260 (1988).

S. K. Pal and A. Rosenfeld, “Image enhancement and thresholding by optimization of fuzzy compactness,” Pattern Recognit. Lett. 7(2), 77–86 (1988).

N. Kapur, P. K. Sahoo, and A. K. C. Wong, “A new method for gray-level picture thresholding using the entropy of the histogram,” Comput. Vis. Graph. Image Process. 29(3), 273–285 (1985).

G. Buchsbaum, “An analytical derivation of visual nonlinearity,” IEEE Trans. Biomed. Eng. BME-27(5), 237–242 (1980).

R. Yager, “On the measure of fuzziness and negation Part I: Membership in the unit interval,” Int. J. Gen. Syst. 5(4), 221–229 (1979).

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybern. 9(1), 62–66 (1979).

R. Kirby and A. Rosenfeld, “A note on the use of (gray level, average gray level) space as an aid in the threshold selection,” IEEE Trans. Syst. Man Cybern. 9(12), 860–864 (1979).

J. S. Weszka, “A survey of threshold selection techniques,” Comput. Graph. Image Process. 7(2), 259–265 (1978).

L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reason I,” Inf. Sci. 8(3), 199–249 (1975).

L. A. Zadeh, “Fuzzy sets,” Inf. Control 8(3), 338–353 (1965).

A. S. Abutaleb, “Automatic thresholding of gray-level picture using two-dimensional entropy,” Comput. Vis. Graph. Image Process. 47(1), 22–32 (1989).

J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, “Type-2 fuzzy sets as functions on spaces,” IEEE Trans. Fuzzy Syst. 18(4), 841–844 (2010).

P. K. Sahoo and G. Arora, “Image thresholding using two-dimensional Tsallis-Havrda-Charvát entropy,” Pattern Recognit. Lett. 27(6), 520–528 (2006).

P. K. Sahoo and G. Arora, “A thresholding method based on two-dimensional Renyi’s entropy,” Pattern Recognit. 37(6), 1149–1161 (2004).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

H. Bustince, E. Barrenechea, and M. Pagola, “Image thresholding using restricted equivalence functions and maximizing the measures of similarity,” Fuzzy Sets Syst. 158(5), 496–516 (2007).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Analysis of fuzzy thresholding schemes,” Pattern Recognit. 33(8), 1339–1349 (2000).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Investigations on fuzzy thresholding based on fuzzy clustering,” Pattern Recognit. 30(10), 1605–1613 (1997).

A. D. Brink, “Thresholding of digital images using two-dimensional entropies,” Pattern Recognit. 25(8), 803–808 (1992).

G. Buchsbaum, “An analytical derivation of visual nonlinearity,” IEEE Trans. Biomed. Eng. BME-27(5), 237–242 (1980).

P. Burillo and H. Bustince, “Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets,” Fuzzy Sets Syst. 78(3), 305–316 (1996).

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

H. Bustince, E. Barrenechea, and M. Pagola, “Image thresholding using restricted equivalence functions and maximizing the measures of similarity,” Fuzzy Sets Syst. 158(5), 496–516 (2007).

P. Burillo and H. Bustince, “Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets,” Fuzzy Sets Syst. 78(3), 305–316 (1996).

Y. Xiao, Z. G. Cao, and S. Zhong, “New entropic thresholding approach using gray-level spatial correlation histogram,” Opt. Eng. 49(12), 127007 (2010).

Q. Wang, Z. Chi, and R. Zhao, “Image thresholding by maximizing the index of nonfuzziness of the 2-D grayscale histogram,” Comput. Vis. Image Underst. 85(2), 100–116 (2002).

S. Di Zenzo, L. Cinque, and S. Levialdi, “Image thresholding using fuzzy entropies,” IEEE Trans. Syst. Man Cybern. B Cybern. 28(1), 15–23 (1998).

S. Di Zenzo, L. Cinque, and S. Levialdi, “Image thresholding using fuzzy entropies,” IEEE Trans. Syst. Man Cybern. B Cybern. 28(1), 15–23 (1998).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

L. K. Huang and M. J. Wang, “Image thresholding by minimizing the measure of fuzziness,” Pattern Recognit. 28(1), 41–51 (1995).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Analysis of fuzzy thresholding schemes,” Pattern Recognit. 33(8), 1339–1349 (2000).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Investigations on fuzzy thresholding based on fuzzy clustering,” Pattern Recognit. 30(10), 1605–1613 (1997).

J. Mendel and R. I. B. John, “Type-2 fuzzy sets made simple,” IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002).

A. S. Pednekar and I. A. Kakadiaris, “Image segmentation based on fuzzy connectedness using dynamic weights,” IEEE Trans. Image Process. 15(6), 1555–1562 (2006).

[PubMed]

N. Kapur, P. K. Sahoo, and A. K. C. Wong, “A new method for gray-level picture thresholding using the entropy of the histogram,” Comput. Vis. Graph. Image Process. 29(3), 273–285 (1985).

R. Kirby and A. Rosenfeld, “A note on the use of (gray level, average gray level) space as an aid in the threshold selection,” IEEE Trans. Syst. Man Cybern. 9(12), 860–864 (1979).

S. Di Zenzo, L. Cinque, and S. Levialdi, “Image thresholding using fuzzy entropies,” IEEE Trans. Syst. Man Cybern. B Cybern. 28(1), 15–23 (1998).

J. Z. Liu and W. Q. Li, “The automatic thresholding of gray-level pictures via two-dimensional Otsu method,” Acta Automatica Sin. 19, 101–105 (1993) (in Chinese).

J. Z. Liu and W. Q. Li, “The automatic thresholding of gray-level pictures via two-dimensional Otsu method,” Acta Automatica Sin. 19, 101–105 (1993) (in Chinese).

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

D. Zhai and J. Mendel, “Uncertainty measures for general type-2 fuzzy sets,” Inf. Sci. 181(3), 503–518 (2011).

D. Wu and J. Mendel, “Uncertainty measures for interval type-2 fuzzy sets,” Inf. Sci. 177(23), 5378–5393 (2007).

J. Mendel, “Advances in type-2 fuzzy sets and systems,” Inf. Sci. 177(1), 84–110 (2007).

J. Mendel, “Type-2 fuzzy sets and systems: An overview,” IEEE Comput. Intell. Mag. 2, 20–29 (2007).

J. Mendel and R. I. B. John, “Type-2 fuzzy sets made simple,” IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002).

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, “Type-2 fuzzy sets as functions on spaces,” IEEE Trans. Fuzzy Syst. 18(4), 841–844 (2010).

C. Murthy and S. Pal, “Fuzzy thresholding: mathematical framework, bound functions and weighted moving average technique,” Pattern Recognit. Lett. 11(3), 197–206 (1990).

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybern. 9(1), 62–66 (1979).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

H. Bustince, E. Barrenechea, and M. Pagola, “Image thresholding using restricted equivalence functions and maximizing the measures of similarity,” Fuzzy Sets Syst. 158(5), 496–516 (2007).

N. R. Pal and S. K. Pal, “Entropic thresholding,” Signal Process. 16(2), 97–108 (1989).

C. Murthy and S. Pal, “Fuzzy thresholding: mathematical framework, bound functions and weighted moving average technique,” Pattern Recognit. Lett. 11(3), 197–206 (1990).

N. R. Pal and S. K. Pal, “Entropic thresholding,” Signal Process. 16(2), 97–108 (1989).

S. K. Pal and A. Rosenfeld, “Image enhancement and thresholding by optimization of fuzzy compactness,” Pattern Recognit. Lett. 7(2), 77–86 (1988).

A. S. Pednekar and I. A. Kakadiaris, “Image segmentation based on fuzzy connectedness using dynamic weights,” IEEE Trans. Image Process. 15(6), 1555–1562 (2006).

[PubMed]

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Analysis of fuzzy thresholding schemes,” Pattern Recognit. 33(8), 1339–1349 (2000).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Investigations on fuzzy thresholding based on fuzzy clustering,” Pattern Recognit. 30(10), 1605–1613 (1997).

J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, “Type-2 fuzzy sets as functions on spaces,” IEEE Trans. Fuzzy Syst. 18(4), 841–844 (2010).

S. K. Pal and A. Rosenfeld, “Image enhancement and thresholding by optimization of fuzzy compactness,” Pattern Recognit. Lett. 7(2), 77–86 (1988).

R. Kirby and A. Rosenfeld, “A note on the use of (gray level, average gray level) space as an aid in the threshold selection,” IEEE Trans. Syst. Man Cybern. 9(12), 860–864 (1979).

P. K. Sahoo and G. Arora, “Image thresholding using two-dimensional Tsallis-Havrda-Charvát entropy,” Pattern Recognit. Lett. 27(6), 520–528 (2006).

P. K. Sahoo and G. Arora, “A thresholding method based on two-dimensional Renyi’s entropy,” Pattern Recognit. 37(6), 1149–1161 (2004).

P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Comput. Graph. Image Process. 41(2), 233–260 (1988).

N. Kapur, P. K. Sahoo, and A. K. C. Wong, “A new method for gray-level picture thresholding using the entropy of the histogram,” Comput. Vis. Graph. Image Process. 29(3), 273–285 (1985).

M. Sezgin and B. Sankur, “Survey over image thresholding techniques and quantitative performance evaluation,” J. Electron. Imaging 13(1), 146–165 (2004).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

O. J. Tobias and R. Seara, “Image segmentation by histogram thresholding using fuzzy sets,” IEEE Trans. Image Process. 11(12), 1457–1465 (2002).

I. K. Vlachos and G. D. Sergiadis, “Comment on: ‘Image thresholding using type II fuzzy sets’,” Pattern Recognit. 41(5), 1810–1811 (2008).

M. Sezgin and B. Sankur, “Survey over image thresholding techniques and quantitative performance evaluation,” J. Electron. Imaging 13(1), 146–165 (2004).

P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Comput. Graph. Image Process. 41(2), 233–260 (1988).

H. R. Tizhoosh, “Image thresholding using type II fuzzy sets,” Pattern Recognit. 38(12), 2363–2372 (2005).

O. J. Tobias and R. Seara, “Image segmentation by histogram thresholding using fuzzy sets,” IEEE Trans. Image Process. 11(12), 1457–1465 (2002).

I. K. Vlachos and G. D. Sergiadis, “Comment on: ‘Image thresholding using type II fuzzy sets’,” Pattern Recognit. 41(5), 1810–1811 (2008).

L. K. Huang and M. J. Wang, “Image thresholding by minimizing the measure of fuzziness,” Pattern Recognit. 28(1), 41–51 (1995).

Q. Wang, Z. Chi, and R. Zhao, “Image thresholding by maximizing the index of nonfuzziness of the 2-D grayscale histogram,” Comput. Vis. Image Underst. 85(2), 100–116 (2002).

J. S. Weszka, “A survey of threshold selection techniques,” Comput. Graph. Image Process. 7(2), 259–265 (1978).

P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Comput. Graph. Image Process. 41(2), 233–260 (1988).

N. Kapur, P. K. Sahoo, and A. K. C. Wong, “A new method for gray-level picture thresholding using the entropy of the histogram,” Comput. Vis. Graph. Image Process. 29(3), 273–285 (1985).

D. Wu and J. Mendel, “Uncertainty measures for interval type-2 fuzzy sets,” Inf. Sci. 177(23), 5378–5393 (2007).

Y. Xiao, Z. G. Cao, and S. Zhong, “New entropic thresholding approach using gray-level spatial correlation histogram,” Opt. Eng. 49(12), 127007 (2010).

R. Yager, “On the measure of fuzziness and negation Part I: Membership in the unit interval,” Int. J. Gen. Syst. 5(4), 221–229 (1979).

L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reason I,” Inf. Sci. 8(3), 199–249 (1975).

L. A. Zadeh, “Fuzzy sets,” Inf. Control 8(3), 338–353 (1965).

D. Zhai and J. Mendel, “Uncertainty measures for general type-2 fuzzy sets,” Inf. Sci. 181(3), 503–518 (2011).

Q. Wang, Z. Chi, and R. Zhao, “Image thresholding by maximizing the index of nonfuzziness of the 2-D grayscale histogram,” Comput. Vis. Image Underst. 85(2), 100–116 (2002).

Y. Xiao, Z. G. Cao, and S. Zhong, “New entropic thresholding approach using gray-level spatial correlation histogram,” Opt. Eng. 49(12), 127007 (2010).

J. Z. Liu and W. Q. Li, “The automatic thresholding of gray-level pictures via two-dimensional Otsu method,” Acta Automatica Sin. 19, 101–105 (1993) (in Chinese).

J. S. Weszka, “A survey of threshold selection techniques,” Comput. Graph. Image Process. 7(2), 259–265 (1978).

P. K. Sahoo, S. Soltani, and A. K. C. Wong, “A survey of thresholding techniques,” Comput. Graph. Image Process. 41(2), 233–260 (1988).

N. Kapur, P. K. Sahoo, and A. K. C. Wong, “A new method for gray-level picture thresholding using the entropy of the histogram,” Comput. Vis. Graph. Image Process. 29(3), 273–285 (1985).

A. S. Abutaleb, “Automatic thresholding of gray-level picture using two-dimensional entropy,” Comput. Vis. Graph. Image Process. 47(1), 22–32 (1989).

Q. Wang, Z. Chi, and R. Zhao, “Image thresholding by maximizing the index of nonfuzziness of the 2-D grayscale histogram,” Comput. Vis. Image Underst. 85(2), 100–116 (2002).

H. Bustince, E. Barrenechea, and M. Pagola, “Image thresholding using restricted equivalence functions and maximizing the measures of similarity,” Fuzzy Sets Syst. 158(5), 496–516 (2007).

P. Burillo and H. Bustince, “Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets,” Fuzzy Sets Syst. 78(3), 305–316 (1996).

J. Mendel, “Type-2 fuzzy sets and systems: An overview,” IEEE Comput. Intell. Mag. 2, 20–29 (2007).

G. Buchsbaum, “An analytical derivation of visual nonlinearity,” IEEE Trans. Biomed. Eng. BME-27(5), 237–242 (1980).

J. Mendel and R. I. B. John, “Type-2 fuzzy sets made simple,” IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002).

J. Aisbett, J. T. Rickard, and D. G. Morgenthaler, “Type-2 fuzzy sets as functions on spaces,” IEEE Trans. Fuzzy Syst. 18(4), 841–844 (2010).

A. S. Pednekar and I. A. Kakadiaris, “Image segmentation based on fuzzy connectedness using dynamic weights,” IEEE Trans. Image Process. 15(6), 1555–1562 (2006).

[PubMed]

N. V. Lopes, P. A. Mogadouro do Couto, H. Bustince, and P. Melo-Pinto, “Automatic histogram threshold using fuzzy measures,” IEEE Trans. Image Process. 19(1), 199–204 (2010).

O. J. Tobias and R. Seara, “Image segmentation by histogram thresholding using fuzzy sets,” IEEE Trans. Image Process. 11(12), 1457–1465 (2002).

R. Kirby and A. Rosenfeld, “A note on the use of (gray level, average gray level) space as an aid in the threshold selection,” IEEE Trans. Syst. Man Cybern. 9(12), 860–864 (1979).

N. Otsu, “A threshold selection method from gray-level histograms,” IEEE Trans. Syst. Man Cybern. 9(1), 62–66 (1979).

S. Di Zenzo, L. Cinque, and S. Levialdi, “Image thresholding using fuzzy entropies,” IEEE Trans. Syst. Man Cybern. B Cybern. 28(1), 15–23 (1998).

L. A. Zadeh, “Fuzzy sets,” Inf. Control 8(3), 338–353 (1965).

L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reason I,” Inf. Sci. 8(3), 199–249 (1975).

J. Mendel, “Advances in type-2 fuzzy sets and systems,” Inf. Sci. 177(1), 84–110 (2007).

D. Wu and J. Mendel, “Uncertainty measures for interval type-2 fuzzy sets,” Inf. Sci. 177(23), 5378–5393 (2007).

D. Zhai and J. Mendel, “Uncertainty measures for general type-2 fuzzy sets,” Inf. Sci. 181(3), 503–518 (2011).

R. Yager, “On the measure of fuzziness and negation Part I: Membership in the unit interval,” Int. J. Gen. Syst. 5(4), 221–229 (1979).

M. Sezgin and B. Sankur, “Survey over image thresholding techniques and quantitative performance evaluation,” J. Electron. Imaging 13(1), 146–165 (2004).

Y. Xiao, Z. G. Cao, and S. Zhong, “New entropic thresholding approach using gray-level spatial correlation histogram,” Opt. Eng. 49(12), 127007 (2010).

L. K. Huang and M. J. Wang, “Image thresholding by minimizing the measure of fuzziness,” Pattern Recognit. 28(1), 41–51 (1995).

H. R. Tizhoosh, “Image thresholding using type II fuzzy sets,” Pattern Recognit. 38(12), 2363–2372 (2005).

I. K. Vlachos and G. D. Sergiadis, “Comment on: ‘Image thresholding using type II fuzzy sets’,” Pattern Recognit. 41(5), 1810–1811 (2008).

H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, and J. Sanz, “Comment on: ‘Image thresholding using type II fuzzy sets’: Importance of this method,” Pattern Recognit. 43(9), 3188–3192 (2010).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Investigations on fuzzy thresholding based on fuzzy clustering,” Pattern Recognit. 30(10), 1605–1613 (1997).

C. V. Jawahar, P. K. Biswas, and A. K. Ray, “Analysis of fuzzy thresholding schemes,” Pattern Recognit. 33(8), 1339–1349 (2000).

P. K. Sahoo and G. Arora, “A thresholding method based on two-dimensional Renyi’s entropy,” Pattern Recognit. 37(6), 1149–1161 (2004).

A. D. Brink, “Thresholding of digital images using two-dimensional entropies,” Pattern Recognit. 25(8), 803–808 (1992).

P. K. Sahoo and G. Arora, “Image thresholding using two-dimensional Tsallis-Havrda-Charvát entropy,” Pattern Recognit. Lett. 27(6), 520–528 (2006).

S. K. Pal and A. Rosenfeld, “Image enhancement and thresholding by optimization of fuzzy compactness,” Pattern Recognit. Lett. 7(2), 77–86 (1988).

C. Murthy and S. Pal, “Fuzzy thresholding: mathematical framework, bound functions and weighted moving average technique,” Pattern Recognit. Lett. 11(3), 197–206 (1990).

N. R. Pal and S. K. Pal, “Entropic thresholding,” Signal Process. 16(2), 97–108 (1989).

Y. Xiao, Z. G. Cao, and T. X. Zhang, “Entropic thresholding based on gray-level spatial correlation histogram,” in Proceedings of IEEE Conference on Pattern Recognition (Univ. of South Florida, Tampa, Florida, 2008), pp. 1–4.

L. Lucas, T. Centeno, and M. Delgado, “General type-2 fuzzy inference system: analysis, design and computational aspects,” in Proceedings of IEEE International Conference on Fuzzy Systems (Imperial College, London, 2007), pp. 1–6.