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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Acknowledgments
This work was supported by the Natural Science Foundation of China (Nos. 71671086, 61773208, 61473157, 71732003 and 71201076), the National Key Research and Development Program of China (No.2016YFD0702100), the Fundamental Research Funds for the Central Universities (No. 011814380021), the Central military equipment development of the “13th Five-Year” pre research project (No. 315050202), the Nanjing University Innovation and Creative Program for PhD candidate (No. CXCY17-08) and the pre-research project (No. 3151001**).
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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: Nguyen, H., Ha, QT., Li, T., Przybyła-Kasperek, M. (eds) Rough Sets. IJCRS 2018. Lecture Notes in Computer Science(), vol 11103. Springer, Cham. https://doi.org/10.1007/978-3-319-99368-3_28
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DOI: https://doi.org/10.1007/978-3-319-99368-3_28
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