(, ) −Standard neutrosophic rough set and its topologies properties

Abstract

In this paper, we defined (, ) − standard neutrosophic rough sets based on an implicator and a t-norm on ∗; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (, ) − standard neutrosophic rough sets are investigated. We consider the case when the neutrosophic components (truth, indeterminacy, and falsehood) are totally dependent, single-valued, and hence their sum is ≤ 1