Mamdani FIS Combined With LU Decomposition Method and Two-Level LWT for Image Watermarking Technique

Fuzzy theory and linear algebra have a substantial role in various sciences and the biggest effect was in the share of computer science. In the field of image processing, the process of digital image watermarking represents the inclusion of a secret logo or an image called watermark into a host image to get a watermarked image to guarantee copyright protection or ownership. The watermarking will be acceptable if it achieves specific qualities like imperceptibility and robustness. In this paper, Mamdani fuzzy inference system (FIS) was employed on the original image for obtaining the controller parameter which works on finding a trade-off between imperceptibility and robustness, and on the other hand, is combined with the algebraic matrix decomposition method LU for proposing a digital watermarking technique in which the watermark is included in the LH2 band produced by applying two-level of the lifting wavelet transform (LWT) using the modular arithmetic (mod). The experimental results show that the proposed algorithm resistant to many attacks.