Matrix theory is an efficient tool in mathematics, due to its easily accessible nature. Being a higher extension of hard set, concept of fuzzy set is well used in fuzzy matrix theory in the up gradation process of matrix theory, and later to spherical fuzzy matrix theory, refined time dependent matrix, average time dependent matrix and combined effect time dependent matrix are very useful application tools in the scenario of matrix theory. In this paper these three tools are introduced in spherical fuzzy matrix environment and a real life application has also provided