Papers on three-way decisions and decision-theoretic rough sets (DTRS)
In the literature of rough set theory, there are two basic
formulations. The more
popular formulation is based on a pair of lower and upper
approximations. The less discussed formulation is based on
three regions: the positive, boundary and negative regions.
Three-way decisions model is based on the latter formulation
and explores a specific interpretation of the three regions,
namely, the positive region for acceptance, the negative region
for rejection, and the boundary region for abstaining or a
deferred decision. A pair of thresholds, alpha and beta,
is used to represent our tolerance level of errors of incorrect
acceptance and incorrect rejection. The thresholds are
computed and interpreted in terms of costs of three-way decision.
The view of rough set theory based on three-way decisions
perhaps better reflects the philosophy of the theory and
may lead to new applications.
Rough sets and three-way decisions,
in: Ciucci, D., Wang, G.Y., Mitra, S., Wu, W.Z. (eds.) RSKT 2015. LNCS
(LNAI), vol. 9436, pp. 62-73, 2015.
The superiority of three-way decisions in probabilistic rough set models,
Vol. 181, No. 6, 1080-1096, 2011.
Three-way decisions with probabilistic rough sets,
Information Sciences, Vol. 180, No. 3, pp. 341-353, 2010.
Three-way decision: an interpretation of rules in rough set theory,
Rough Sets and Knowledge Technology, Fourth International Conference, RSKT 2009,
LNAI 5589, pp. 642-649, 2009.
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