Color image encryption using Choquet fuzzy integral and hyper chaotic system

Abstract This paper proposes a color image encryption scheme based on Choquet fuzzy integral (CFI) and hyper chaotic system. The major core of the encryption algorithm is a pseudo-random number generator based on the CFI. Before encrypting the color image, the piecewise linear chaotic map (PWLCM) is used to generate the 128-bit secret keys, and the Lorenz system is iterated for limited times to generate the initial parameters of the CFI. The outputs of the CFI are used to confuse and diffuse the three components of the pixel, respectively. Experiment results and security analysis show that the scheme not only can achieve good encryption result and large key space, but also can resist against common attacks, so the scheme is reliable to be adopted for network security and secure communications.

[1]  Swarup Medasani,et al.  An overview of membership function generation techniques for pattern recognition , 1998, Int. J. Approx. Reason..

[2]  Hongjun Liu,et al.  Color image encryption based on one-time keys and robust chaotic maps , 2010, Comput. Math. Appl..

[3]  Chenggen Quan,et al.  Optical color image encryption based on Arnold transform and interference method , 2009 .

[4]  Guodong Ye,et al.  Image scrambling encryption algorithm of pixel bit based on chaos map , 2010, Pattern Recognit. Lett..

[5]  Z. Guan,et al.  Chaos-based image encryption algorithm ✩ , 2005 .

[6]  Muhammad Khurram Khan,et al.  Challenge-response-based biometric image scrambling for secure personal identification , 2011, Future Gener. Comput. Syst..

[7]  B. Alatas,et al.  Chaos embedded particle swarm optimization algorithms , 2009 .

[8]  Zengqiang Chen,et al.  A new image encryption algorithm based on hyper-chaos , 2008 .

[9]  Jung-Hsien Chiang,et al.  Choquet fuzzy integral-based hierarchical networks for decision analysis , 1999, IEEE Trans. Fuzzy Syst..

[10]  A. Díaz-Méndez,et al.  Design of chaotic analog noise generators with logistic map and MOS QT circuits , 2009 .

[11]  Di Xiao,et al.  Analysis and improvement of a chaos-based image encryption algorithm , 2009 .

[12]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[13]  Didier Dubois,et al.  A review of fuzzy set aggregation connectives , 1985, Inf. Sci..

[14]  Vinod Patidar,et al.  A new substitution–diffusion based image cipher using chaotic standard and logistic maps , 2009 .

[15]  Daoliang Li.  Computer And Computing Technologies In Agriculture, Volume II , 2008 .

[16]  K. Ramasubramanian,et al.  A comparative study of computation of Lyapunov spectra with different algorithms , 1999, chao-dyn/9909029.

[17]  M. Sugeno.  FUZZY MEASURES AND FUZZY INTEGRALS—A SURVEY , 1993 .

[18]  Seyed Mohammad Seyedzadeh,et al.  Image encryption algorithm based on Choquet Fuzzy Integral with self-adaptive pseudo-random number generator , 2011, 2011 11th International Conference on Intelligent Systems Design and Applications.

[19]  Xiaofeng Liao,et al.  Parallel keyed hash function construction based on chaotic maps , 2008 .

[20]  R. Yager,et al.  Identification of nonlinear systems by fuzzy models , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[21]  H. Yan,et al.  Color image segmentation using fuzzy integral and mountain clustering , 1999, Fuzzy Sets Syst..

[22]  Xingyuan Wang,et al.  A hyperchaos generated from Lorenz system , 2008 .

[23]  Safya Belghith,et al.  OCML-based colour image encryption , 2009 .

[24]  Chuan-Kuei Huang,et al.  Multi chaotic systems based pixel shuffle for image encryption , 2009 .

[25]  S. Mazloom,et al.  Color image encryption based on Coupled Nonlinear Chaotic Map , 2009 .

[26]  A. Kanso,et al.  Logistic chaotic maps for binary numbers generations , 2009 .

[27]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[28]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[29]  Rhouma Rhouma,et al.  Cryptanalysis of a new image encryption algorithm based on hyper-chaos , 2008 .

[30]  Shiguo Lian,et al.  A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2012, J. Syst. Softw..

[31]  R. Yager.  Aggregation operators and fuzzy systems modeling , 1994 .

[32]  Zhengjun Liu,et al.  Color image encryption by using Arnold and discrete fractional random transforms in IHS space , 2010 .