Journal of the Egyptian Mathematical Society (Mar 2020)

Optimal alternative for suitability of S-boxes to image encryption based on m-polar fuzzy soft set decision-making criterion

  • Mohammed M. Khalaf

DOI
https://doi.org/10.1186/s42787-020-0068-z
Journal volume & issue
Vol. 28, no. 1
pp. 1 – 25

Abstract

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Abstract Our aim in this work is to improve the design and model of real-life applications. We put forward a standard based on m-polar fuzzy soft set decision-making criterion to examine the optimal alternative for the suitability of S-boxes to image encryption applications. The proposed standard studies the results of correlation analysis, entropy analysis, contrast analysis, homogeneity analysis, energy analysis, and mean of absolute deviation analysis. These analyses are applied to well-known substitution boxes. The algorithm of outcomes of these analyses is additional observed and a m-polar fuzzy soft set decision-making criterion is used to decide the optimal alternative for suitability of S-box to image encryption applications. All results taken by using the reality values for all S-boxes and experimental problems with reality values are discussed to show the validity of the optimal alternative for the suitability of S-box to image encryption.

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