Soft rough sets based on covering and their applications

Abstract

AbstractSoft rough based on covering $\mathcal {S}RC$ S R C theory has become a useful and well-known area of research in theories of uncertainty. The present work follows up on this flourishing research topic. We introduce a new model of $\mathcal {S}RC$ S R C in a fusion of soft set theory $\mathcal {S}ST$ S S T and rough set depending on covering $\mathcal {C}RS$ C R S . We put forth a definition of soft rough covering approximation space $\mathcal {S}CAS$ S C A S via neighborhood concept. Some axiomatic systems of our model of $\mathcal {S}RC$ S R C are discussed. We study the relationship between our model of $\mathcal {S}RC$ S R C and three other $\mathcal {S}RC$ S R C -models. An algorithm for reduction of the attributes of the information systems using $\mathcal {S}CAS$ S C A S is established. Based on the theoretical discussion, we set forth some applications of our model which will be helpful in decision making process via $\mathcal {S}RC$ S R C theory.