Nowadays, the security of digital image is one of the most essential terms. In this article, a piecewise linear chaotic map based image encryption has been proposed. For implementation protection from different types of attacks, the Linear Cryptanalysis system is applied to encrypt the image. The irreducible polynomial is implemented to design the confusion -diffusion architecture that scrambles the pixel position of the image. To alter pixel intensity, the Fuzzy operations have been applied which makes the scheme more secure. The proposed encryption scheme is applied to resist some cryptanalysis method such as plaintext or cipher text attacks. The different theoretical and statistical analysis shows that the scheme has high -level security. The two main statistical factors, the number of pixel change rate and the information entropy, gives the better result in this article.