t -spherical fuzzy soft matrices with applications in decision-making and selection process

In the present communication, we have introduced the notion of t-spherical fuzzy soft matrix (tsfsm) and studied various types of associated binary operations and properties. in literature, it has been observed that the concept of soft matrix plays a vital role in many engineering applications as well as to cater different socio-economic and financial sector problems. as per the definition of t-spherical fuzzy set, the proposed notion would have an additional capability to address the impreciseness of the information close enough to human opinion mathematically.further, on the basis of the structure of proposed tsfsm and using the concept of choice matrix along with its weighted form, a new algorithm for the decision-making process has been outlined. next, utilizing the score/utility matrix, we present another algorithm for the selection process. for the sake of understanding of the proposed methodologies, illustrative examples have also been presented. some comparative remarks for the proposed techniques in contrast with existing techniques have been listed for a better readability and understanding.