Fast and secure data stored and transmission through a modem communication and information system are the core objective in this area. With regard to this study, efficient and simple algorithm has been suggested that takes advantage of double piecewise-linear chaotic map method and RC4 algorithm. Each algorithm is utilized as Pseudo Random-Number-Generator (PRNG). The proposed piecewise generator produces series of M x N random sequence keys that are used as an initial key for the RC4 algorithm that has been utilized for generating another M x N key sequence. At each round, an image is converted into one-dimension, then the Fisher-Yates Shuffle algorithm has been utilized for achieving confusion operation, controlled by chaotic matrix created by double piecewise algorithm as well as diffusion is achieved by performing a complex (XOR) operation between confused image and matrix generated by RC4 algorithm. The experimental results on speed of encryption/decryption process, keys-pace analysis, entropy value, key sensitivity, plain text sensitivity, ciphertext sensitivity, and statistical analysis indicated that the suggested approach has good resistance against all known attacks like brute force, plain-text, cipher-text, statistical and differential attacks. In addition, the generated sequences passed the statistical tests on the NIST suite. So that this scheme is applicable for transmitting digital image securely over any communication system.