
Rough Set 541
Remark 5.3 A set X is externally R-undenable means that with respect to R we
are able to decide for some elements of U that they belong to X, but we are unable to
decide for any element of U whether it belongs to X.
Denition 5.4 A set X is totally R-undenable, if and
Remark 5.4 A set X is totally R-undenable, means that with respect to R we are
able to decide for any element of U whether it belongs to X or –X.
A rough set X can be characterized by the following coefcient:
(X) =
which represents the accuracy of approximation, and where |X| denotes the cardi-
nality of X .
Obviously, 0 (X) 1. If (X) = 1 then X is crisp ...