**6. Conclusions**

In this manuscript, we utilized the concept of T-SFS to handle the uncertainty in the data, so as to capture the information with some more degree of freedom. For it, we defined some new, improved interactive aggregation operations by adding the degree of refusal into the analysis. Then, we studied some basic properties of them. Based on these operational laws, we defined some new weighted geometric aggregation operators and studied their desirable properties. Some of the counter examples were also provided, which showed that the proposed operators worked well in all cases where the existing ones failed to classify the objects. In addition to this, in a comprehensive scrutiny of T-SFSs and the decision-maker preferences, a MADM approach was presented, based on the proposed operator, to select the best alternatives among the feasible ones. Finally, the presented decision-making approach was explained with the help of a numerical example, and an extensive comparative analysis was conducted in relation to the existing decision-making theories. Additionally, the advantages as well as the superiority of the approach was tested with some examples. The advantages of the proposed operators were that a decision maker could choose the required operator in order to optimize their desired goals with more confidence level as compared the existing operators. Furthermore, it was concluded that the several existing operators could be deduced from the proposed one and, hence, the presented operators and algorithm were more generalized. In the future, there is the scope to extend the proposed method to some different environments, and to extend its application in various fields related to decision-theory [40–47].

**Author Contributions:** Conceptualization, H.G., K.U. and N.J.; Methodology, M.M., K.U., T.M. and N.J.; Validation, H.G.; Formal analysis, M.M., K.U., T.M. and N.J.; Investigation, M.M., K.U., T.M. and N.J.; Writing-original draft preparation, M.M., K.U., T.M. and N.J.; Writing-review and editing, H.G.; Visualization, H.G.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
