Investigation of Financial Track Records by Using Some Novel Concepts of Complex q-Rung Orthopair Fuzzy Information

The involution of complex numbers in the theory of fuzzy sets (FSs) opened the gates for many new ideas. In a complex fuzzy set (CFS), the level of membership attains values from the unit circle in a complex plane. Since the level of membership is a complex number, it is expressed in a form consisting of two parts called the amplitude term and the phase term. This complex structure allows modeling multivariable problems such as problems with periodicity and phase changes. This article studies the complex q-rung orthopair fuzzy sets (CqROFSs) and discovers the innovative concept of complex q-rung orthopair fuzzy relations (CqROFRs) which can deal with a wide range of information, including; fuzzy, complex fuzzy, complex intuitionistic, complex Pythagorean and q-rung orthopair fuzzy information. Moreover, the types of relations are defined with examples and interesting properties. Furthermore, this article also proposes a method based on CqROFRs for modeling the financial track records of business companies. In addition, the applications of the proposed concepts have been presented, which discuss the internal effects of different parameters and factors on the business that might help the sponsors to make the most out of their funds and investments. Another application deliberates the external impacts, i.e., influences of one business over other businesses and provides valuable information to stakeholders which will enable them to identify the key factors for making their business efficient. The results acquired by using the CqROFRs were excellent and more pleasing than other structures in the literature. This flexibility of the proposed framework and the verification of its advantages for solving the application problems is verified through a comprehensive comparative study.