Abstract
In this paper we study the impact of selecting different entropy measures in the framework of intuitionistic fuzzy image processing and especially in the process of intuitionistic fuzzification of images. Different notions of entropy characterized by different properties are reviewed and their behavior is thoroughly studied under the scope of performing contrast enhancement. Finally, experimental results using gray-scale images reveal the characteristics of the aforementioned measures.
Keywords
- Contrast Enhancement
- Geometrical Representation
- Entropy Measure
- Fuzzy Entropy
- Intuitionistic Fuzzy Information
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Vlachos, I.K., Sergiadis, G.D.: Towards intuitionistic fuzzy image processing. In: Proc. International Conference on Computational Intelligence for Modelling, Control and Automation, Vienna, Austria, vol. 1, pp. 2–7 (2005)
Vlachos, I.K., Sergiadis, G.D.: Intuitionistic Fuzzy Image Processing. In: Soft Computing in Image Processing: Recent Advances. Studies in Fuzziness and Soft Computing, vol. 210, pp. 385–416. Springer, Heidelberg (2006)
Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Physica–Verlag, Heidelberg (1999)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114, 505–518 (2000)
Kosko, B.: Fuzziness vs. probability. Int. J. Gen. Syst. 17, 211–240 (1990)
Szmidt, E., Kacprzyk, J.: Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst. 118, 467–477 (2001)
De Luca, A., Termini, S.: A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf. Control 20, 301–312 (1972)
Burillo, P., Bustince, H.: Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst. 78, 305–316 (1996)
Szmidt, E., Kacprzyk, J.: Entropy and similarity of intuitionistic fuzzy sets. In: Proc. Information Processing and Management of Uncertainty in Knowledge-Based Systems, Paris, France, pp. 2375–2382 (2006)
Vlachos, I.K., Sergiadis, G.D.: Intuitionistic fuzzy information–Applications to pattern recognition. Pattern Recognit. Lett. 28, 197–206 (2006)
Vlachos, I.K., Sergiadis, G.D.: Inner product based entropy in the intuitionistic fuzzy setting. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 14, 351–366 (2006)
Pal, S.K., King, R.A.: Image enhancement using fuzzy set. Electron. Lett. 16, 376–378 (1980)
Pal, S.K., King, R.A.: Image enhancement using smoothing with fuzzy sets. IEEE Trans. Syst. Man Cybern. 11, 495–501 (1981)
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Vlachos, I.K., Sergiadis, G.D. (2007). The Role of Entropy in Intuitionistic Fuzzy Contrast Enhancement. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_11
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DOI: https://doi.org/10.1007/978-3-540-72950-1_11
Publisher Name: Springer, Berlin, Heidelberg
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