Quantum mechanics

Psychoanalysis

Materials science

Public relations

Confusion

Entropy (arrow of time)

Probabilistic logic

Data mining

Computer science

Natural language processing

Matrix (chemical analysis)

Physics

Psychology

Mathematics

Political science

Artificial intelligence

Composite material

Measure (data warehouse)

Stakeholder

Confusion matrix

Information Sciences

Three-way decisions (3WD) is an important methodology in solving problems with uncertainty. A systematic analysis on three-way based uncertainty measures is conducive to the promotion of three-way decisions. Meanwhile, confusion matrix, with multifaceted views, serves as a fundamental role in evaluating classification performance. In this paper, confusion matrix is endowed with semantics of three-way decisions. A collection of measures are thus deduced and summarized into seven measure modes. We further investigate the formulation of three-way regions from a measure driven view. To satisfy the preferences of stakeholder, two different objective functions are formulated, and each of them can include different combinations of measures. To demonstrate the effectiveness, we generate probabilistic three-way decisions for a wealth of datasets. Compared with Gini coefficient based and Shannon entropy based objective functions, our model can deduce more satisfying three-way regions.

Three-way confusion matrix for classification: A measure driven view