A textural view of soft fuzzy rough sets

Abstract

This paper aims to give a new insight for soft fuzzy sets. Firstly, using textural soft fuzzy direlations on a soft fuzzy lattice, we obtain a soft fuzzy rough set algebra where the inverse soft fuzzy relation and inverse soft fuzzy corelation are the upper approximation and lower approximation, respectively. On the other hand, we consider Alexandroff soft fuzzy topology and we prove that there exists a one-to-one correspondence between the Alexandroff topologies and the reflexive and transitive direlations on a texture space.