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Softmax function based intuitionistic fuzzy multi-criteria decision making and applications

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  • Dejian Yu

    (Zhejiang University of Finance and Economics)

Abstract

As one of the generalizations of the logistic function, softmax function has been widely used in different probabilistic classification methods. In this paper, we develop some novel aggregation operators under intuitionistic fuzzy environment by introducing the softmax function. The developed aggregation operators can describe the prioritization correlations between the objective criteria effectively. A multi-criteria decision making method using the softmax function based operators are introduced and applied it to flood disaster risk assessment problem. An actual example of the five cities (Hangzhou, Ningbo, Wenzhou, Shaoxing and Huzhou) in Zhejiang Province of China is adopted to show the practicability of the proposed decision method. Furthermore, comparative studies with other decision making methods is conducted to verify the availability. The compare results indicate that the softmax function based operators is very useful to handle intuitionistic fuzzy decision making problem.

Suggested Citation

  • Dejian Yu, 2016. "Softmax function based intuitionistic fuzzy multi-criteria decision making and applications," Operational Research, Springer, vol. 16(2), pages 327-348, July.
    • Handle: RePEc:spr:operea:v:16:y:2016:i:2:d:10.1007_s12351-015-0196-7
    DOI: 10.1007/s12351-015-0196-7
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    References listed on IDEAS

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    1. Ondemir, Onder & Gupta, Surendra M., 2014. "A multi-criteria decision making model for advanced repair-to-order and disassembly-to-order system," European Journal of Operational Research, Elsevier, vol. 233(2), pages 408-419.
    2. van de Kaa, Geerten & Rezaei, Jafar & Kamp, Linda & de Winter, Allard, 2014. "Photovoltaic technology selection: A fuzzy MCDM approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 32(C), pages 662-670.
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    Cited by:

    1. Jun Liu & Xianbin Wu & Shouzhen Zeng & Tiejun Pan, 2017. "Intuitionistic Linguistic Multiple Attribute Decision-Making with Induced Aggregation Operator and Its Application to Low Carbon Supplier Selection," IJERPH, MDPI, vol. 14(12), pages 1-12, November.
    2. Xiaorong He, 2018. "Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(3), pages 1153-1175, February.

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