Innovative Approaches to Prioritizing Financial Tools for Business Growth and Sustainability through Complex Fuzzy Rough Structure

The notion of the complex fuzzy rough set is a valuable and significant tool for discussing more advanced information. Aggregation theory plays a vital role in decision-making. In many decision-making situations, we have to deliver such kind of idea or structure that can handle more advanced data and, in this case, the chance of data loss is reduced and more accurate results can be obtained. The fundamental laws for sine trigonometric aggregation operators based on CFRS have been delivered. Moreover based on these operational laws we have defined the notion of sine trigonometric complex fuzzy rough weighted averaging (STCFRWA), sine trigonometric complex fuzzy rough ordered weighted averaging (STCFROWA), sine trigonometric complex fuzzy rough hybrid averaging (STCFRHA), sine trigonometric complex fuzzy rough weighted geometric (STCFRWG), sine trigonometric complex fuzzy rough ordered weighted geometric (STCFROWG), sine trigonometric complex fuzzy rough hybrid geometric (STCFRHG) operators. To discuss the application perspective of the developed theory, we have initiated an algorithm for the developed. Moreover, we have elaborated on the case study of prioritization of financial tools for business growth to strengthen the application of the developed theory. To discuss the results, we have established the comparative analysis section to deliver the validity and advancement of the initiated work.