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An Optimization View on Intuitionistic Fuzzy Three-Way Decisions

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Rough Sets (IJCRS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11103))

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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**).

Author information

Authors and Affiliations

  1. School of Management and Engineering, Nanjing University, Nanjing, 210093, People’s Republic of China

    Jiubing Liu, Xianzhong Zhou, Huaxiong Li & Libo Zhang

  2. Research Center for Novel Technology of Intelligent Equipment, Nanjing University, Nanjing, 210093, People’s Republic of China

    Xianzhong Zhou & Huaxiong Li

  3. School of Information Engineering, Nanjing Audit University, Nanjing, 211815, People’s Republic of China

    Bing Huang

  4. School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Xiuyi Jia

Authors
  1. Jiubing Liu
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  2. Xianzhong Zhou
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  3. Huaxiong Li
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  4. Bing Huang
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  5. Libo Zhang
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  6. Xiuyi Jia
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Corresponding author

Correspondence to Huaxiong Li .

Editor information

Editors and Affiliations

  1. University of Warsaw, Warsaw, Poland

    Hung Son Nguyen

  2. Faculty of Information Technology, Vietnam National University, Hanoi, Vietnam

    Quang-Thuy Ha

  3. School of Information Science, Southwest Jiaotong University, Chengdu, China

    Tianrui Li

  4. Institute of Computer Science, University of Silesia, Sosnowiec, Poland

    Małgorzata Przybyła-Kasperek

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99367-6

  • Online ISBN: 978-3-319-99368-3

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