Topological structures of fuzzy neutrosophic rough sets

Abstract

In this paper, we examine the fuzzy neutrosophic relation having a special property that can be equivalently characterised by the essential properties of the lower and upper fuzzy neutrosophic rough approximation operators. Further, we prove that the set of all lower approximation sets based on fuzzy neutrosophic equivalence approximation space forms a fuzzy neutrosophic topology. Also, we discuss the necessary and sufficient conditions such that the FN interior (closure) equals FN lower (upper) approximation operator.

Keywords

• Fuzzy neutrosophic rough set
• Approximation operators
• approximation spaces
• rough sets
• topological spaces