12 Neutrosophic rough sets and their extensions

For the study of fusion about SVNS and rough sets, (Liu et al., 2017; Yang et al., 2017) defined SVNRS.

Definition 37

Suppose S is a SVNR in ξ, $\stackrel{˜}{A}\in$SVNS(ξ), the lower and upper approximations of $\stackrel{˜}{A}$ with respect to (ξ, $\stackrel{˜}{S}$), abbreviated as $\underset{¯}{S}\left(\stackrel{˜}{A}\right)$ and $\overline{S}\left(\stackrel{˜}{A}\right)$, are two SVNSs whose membership functions are defined ...

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