(ð“˜, ð“£) −Standard neutrosophic rough set and its topologies properties

Abstract

Abstract. In this paper, we defined (ð“˜, ð“£) − standard neutrosophic rough sets based on an implicator 𓘠and a tnorm ð“£ on ð‘«âˆ— ; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (ð“˜, ð“£) − 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.