A Three-Way Decision Model Based on Intuitionistic Fuzzy Decision Systems

The similarity degree and divergence degree between intuitionistic fuzzy objects are defined respectively, and the related properties are presented in this paper. Then, we define the \((\alpha ,\beta )\)-level cut-sets based on intuitionistic fuzzy similarity relation under decision objective circumstances. Moreover, the upper and lower approximation sets of objective sets are derived by utilizing the defined rough membership function. Some properties of the derived upper and lower approximations are discussed, and a ranking method for intuitionistic fuzzy numbers is proposed. According to Bayesian decisions, an intuitionistic fuzzy three-way decision-theoretic model and a rule induction algorithm based on intuitionistic fuzzy decision systems are constructed. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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