A fundamental notion of rough sets is the approximation of a set by a triplet of positive, boundary, and negative regions, which leads to three-way decisions or ternary classifications. Rules from the positive region are used for making a decision of acceptance, rules from the negative region for making a decision of rejection, and rules from the boundary region for making a decision of noncommitment or deferment. This new view captures an important aspect of rough set theory and may find many practical applications.

Three-Way Decisions Using Rough Sets

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