Abstract
From an optimization point of view, we propose a new method to determine the loss funtion of intuitionistic fuzzy three-way decisions. First, two linear programming models are constructed to determine a pair of thresholds in three-way decisions based on their practical semantics. Meanwhile, the validity of the models is verified by KKT conditions. Second, the models are further extended to intuitionistic fuzzy three-way decisions (IF-3WD) and the corresponding nonlinear models are established. Third, the uniqueness of solution for models is proven and a LINGO software is employed to solve the models. We then obtain both thresholds of IF-3WD and its decision rules. Finally, an example is given to show the effectiveness of our method.
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Liu, J., Zhou, X., Li, H., Huang, B., Zhang, L., & Jia, X. (2018). An Optimization View on Intuitionistic Fuzzy Three-Way Decisions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11103 LNAI, pp. 363–377). Springer Verlag. https://doi.org/10.1007/978-3-319-99368-3_28
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