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.
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