Spherical Fuzzy Soft Rough Sets and Their Applications in Decision Making Problems

Abstract Soft set theory, established by Molodtsov is the universal mathematical structure to tackle the vagueness in data. Since soft set can consider the parameterization structure and spherical fuzzy rough set (SFRS) is a dominant structure to categorize the objects, so due to this reason, here in this manuscript, we have combined, crisp soft relation and fuzzy soft relation respectively with SFRS tointroduce the idea of soft rough spherical fuzzy set and spherical fuzzy soft rough set which can be seen as two new universal soft rough set concepts. Moreover, the classical representations of approximation operators and approximation operators have been established and their properties are discussed in detail. Furthermore, an algorithm is given based on established work and illustrative example is proposed to show how the given idea works in decision making (DM) problems. Finally supremacy of the introduced work is shown and comparative analysis with existence tools by numerical example is established.