On some logical relation properties for rough neutrosophic set

In this paper, we mainly investigate the relation theory and topological structures of rough neutrosophic sets which constructed by combining rough sets and neutrosophic sets. Firstly, we introduce the concept of algebra which is operations and identity relation. Then, discuss the properties of inverse, reflexive, symmetric as well as transitive relation of rough neutrosophic set. Further, regular sets form a Boolean algebra is introduced from the interior and closure of interior in rough neutrosophic sets. The results establish can help to gain more insight in rough neutrosophic sets. (paper)