Analysis of S-Box Based on Image Encryption Application Using Complex Fuzzy Credibility Frank Aggregation Operators

Abstract

This article is about a criterion based on credibility complex fuzzy set (CCFS) to study the prevailing substitution boxes (S-box) and learn their properties to find out their suitability in image encryption applications. Also these criterion has its own properties which is discussed in detailed and on the basis of these properties we have to find the best optimal results and decide the suitability of an S-box to image encryption applications. S-box is the only components which produces the confusion in the every block cipher in the formation of image encryption. So, for this first we have to convert the matrix having colour image using the nonlinear components and also using the proposed algebraic structure of credibility complex fuzzy set to find the best S-box for image encryption based on its criterion. The analyses show that the readings of GRAY S-box is very good for image data. Contributions: As from literaure reveiw a FS contained one MD and IFS conatined two degrees which is MD and NMD. As these generalization of crisp set there is no detailed about the degree of accuarcy (credibility). So, here in this paper we have used the CFCS information which has MD and degree of credibility (accuracy) as well as we have develop a series of aggregation operators which is based on the Frank norms. And also we have discussed CoCoSo method under CFCS information.