The definitions of the complete modulus–modulus synchronization (CMMS), modulus–modulus combination synchronization (MMCS), and modulus–modulus combination–combination synchronization (MMCCS) for chaotic complex systems are introduced. These types of synchronization may be considered as a generalization of many other types of synchronization in the literature. Based on the active control method, three schemes are stated to achieve: CMMS, MMCS, and MMCCS. Three theorems are presented and proved to provide us with analytical formulas for the control functions. We present examples to test the validity of the control functions to achieve CMMS, MMCS, and MMCCS. Using the Runge–Kutta of the order of 4 method, we got the numerical solutions of our systems which agree well with the analytical results. Based on the CMMS of two chaotic complex systems, the processes of encryption and decryption of images are introduced. The experimental results of image encryption and decryption as well as the information entropy and histograms are calculated. Similar studies using MMCS and MMCCS are also investigated.