We now present a novel generalization of the Shannon Entropy Correlation via Tsallis entropy. Tsallis entropy, a cornerstone concept in non-extensive statistical mechanics, represents a generalization of Shannon entropy, extending its applicability to a broader range of physical systems. Although the foundational form of Tsallis entropy was initially introduced by Havrda and Charvat in 1967, it was Constantino Tsallis's work in 1988 that brought this concept to the forefront of statistical physics and led to its widespread adoption within the scientific community. Tsallis's contributions not only popularized the entropy form but also significantly expanded its theoretical framework, allowing for the analysis of systems exhibiting non-standard behaviors, such as those with long-range interactions, long memories, or fractal structures, that are not well-described by classical Boltzmann-Gibbs statistics. This generalization introduced an additional entropy dimension parameter q, also known as the entropic index, by H T (I, q) = ( n i=1 p q i ) -1 1 -q , q ̸ = 1, q > 0,