A performed knapsack problem on the fuzzy chaos cryptosystem with cosine Lozi chaotic map

Abstract

Based on a Knapsack problem approach, a fuzzy chaos based cryptography method for a cosine chaotic map is proposed, where the system work through designing the Takagi-Sugeno(TS) fuzzy model on a chaotic map as a seed map in cosine map. The basic idea of the method is to apply chaotification method to use a cosine chaotic map approached on the out puts of TS fuzzy model to compute a real super increasing sequence applied in Knapsack equation. The proposed method only requires the application on Lozi chaotic map covered by cosine map in generating the secure key at the real super increasing sequence and in encryption, decryptions models. Algorithmic performance of the method is also derived. Also some numerical simulations are presented to demonstrate the effectiveness of the proposed method.