Mathematical analysis

Programming language

Disjoint sets

Rough set

Data mining

Computer science

Decision rule

Probabilistic logic

Mathematics

Discrete mathematics

Boundary (topology)

Algorithm

Dominance-based rough set approach

Artificial intelligence

Set (abstract data type)

Information Sciences

For an uncertain target set, three disjoint regions, i.e., positive, negative, and boundary regions, are established in a rough approximation space. To improve the fault-tolerance ability of the rough set model, a probabilistic rough set model with a pair of thresholds is proposed, and two types of classification errors are introduced from the viewpoint of probability and statistics. A decision-theoretic rough set model is proposed to minimize the decision risk, and a pair of thresholds of the probabilistic rough set model can be calculated by the given cost parameters. In this paper, first, two types of classification errors and two types of uncertain classifications are defined in the probabilistic rough set model. Then, by considering four cost parameters that characterize the cost of two types of classification errors and two types of uncertain classifications, a pair of thresholds of the probabilistic rough set model can again be obtained. Finally, with the increase in new attributes, the change regulari...

Three-way decision model with two types of classification errors