On a Novel Security Algorithm for the Encryption of 3x3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2- Plithogenic Integers and El-Gamal Algorithm

Mathematical cryptography applies special properties of integers and number theory in encrypting and decrypting messages in our world which is increasingly in demand for information security, especially for social media and multimedia. The objective of this work is to generalize El-Gamal crypto algorithm to be applied by using symbolic 2-plithogenic integers instead of classical integers. Also, we apply the novel algorithm to the encryption and the decryption of square 3 x 3 fuzzy matrices with rational entries, and fuzzy relations which can be represented as fuzzy matrices with rational entries. In addition, many examples with numerical data will be presented.