On Interpreting Three-Way Decisions through Two-Way Decisions
Three-way decisions for classification consist of the actions of acceptance, rejection and non-commitment (i.e., neither acceptance nor rejection) in deciding whether an object is in a class. A difficulty with three-way decisions is that one must consider costs of three actions simultaneously. On the other hand, for two-way decisions, one simply considers costs of two actions. The main objective of this paper is to take advantage of the simplicity of two-way decisions by interpreting three-way decisions as a combination of a pair of two-way decision models. One consists of acceptance and non-acceptance and the other consists of rejection and non-rejection. The non-commitment of the three-way decision model is viewed as non-acceptance and non-rejection of the pair of two-way decision models.
KeywordsDecision Region Acceptance Region Approximate Reasoning Acceptance Threshold Rejection Region
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