Neutrosophic Spherical Cubic Sets

In this paper, a new concept of Neutrosophic Spherical Cubic Set (NSCS) is introduced as an amalgamation of sets such as Neutrosophic, Interval valued, cubic and spherical sets. We studied the concepts of internal and external neutrosophic spherical cubic sets and discussed their basic properties. Further P-order, P-union, P-intersection as well as R-order, R-union, R-intersection are discussed for NSCSs

Rough sets in Neutrosophic Approximation Space

Abstract. A rough set is a formal approximation of a crisp set which gives lower and upper approximation of original set to deal with uncertainties. The concept of neutrosophic set is a mathematical tool for handling imprecise, indeterministic and inconsistent data. In this paper, we introduce the concepts of neutrosophic rough Sets and investigate some of its properties. Further as the characterisation of neutrosophic rough approximation operators, we introduce various notions of cut sets of neutrosophic rough sets. 201

Topological structures of fuzzy neutrosophic rough sets

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