Abstract
We propose a simple calculation method of attribute reduction in
variable precision rough set (for short, VPRS) models proposed by Ziarko.
VPRS is an extension of Pawlak's rough set theory, and it
provides a theoretical basis to treat inconsistent or
probabilistic information in the framework of rough sets.
Inuiguchi has proposed various types of attribute reduction in VPRS,
and Wang and Chiou have proposed a method to
calcurate reducts preserving beta-lower approximations
(called L-beta-reducts) proposed by Inuiguchi.
In this paper,
we prove that calculation of L-beta-reducts
results in
calculation of relative reducts in Pawlak's rough set theory.
Moreover,
by generating a beta-decision table
from the given decision table,
we propose a method to calculate all L-beta-reducts
in the given decision table
by using a discernibility matrix.
