Obtaining Upper Approximation Numbers with Predecessor Neighborhoods

Rough set theory is considered as a mathematical approach to uncertainty as a useful and effective tool in various fields of science. The generalization of the basic concepts such as linear dependence, linear independence, base and rank in linear algebra is possible by matroid theory. In this study, the upper approximation number function based on predecessor neighborhoods will be defined for the matroid generated from a relation and generalized rough sets associations will be examined