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An inverse prospect theory-based algorithm in extended incomplete additive probabilistic linguistic preference relation environment and its application in financial products selection

Author

Listed:
  • Nana Liu

    (Sichuan University)

  • Zeshui Xu

    (Sichuan University)

  • Yue He

    (Sichuan University West China Second University Hospital)

  • Xiao-Jun Zeng

    (The University of Manchester)

Abstract

Selecting financial products is one of the most fundamental investment activities to both individuals and companies, and therefore it is very important to establish an efficient and practical method for financial products selection. To address the challenge of the complicated decision-making environment and decision makers’ expression habits for the selection of financial products, this paper develops the incomplete additive probabilistic linguistic preference relation to depict decision makers’ preferences. Considering that, when decision makers express their opinions using probabilistic linguistic preference relation, it is possible that the sum of the value of the probability information is more than 1, this paper also extends the concepts of probabilistic linguistic term set, additive probabilistic linguistic preference relation and incomplete additive probabilistic linguistic preference relation to improve and ensure their practicability. Moreover, an “inverse prospect theory-based” algorithm is proposed to choose proper financial products. The algorithm processes the original incomplete additive probabilistic linguistic preference relation by using the inverse functions of the prospect theory at first. Then, a priority weights deriving model is established based on the extended concepts. Finally, the numerical case and analysis is presented as the evidences to the conclusion that the proposed algorithm is practical and robust.

Suggested Citation

  • Nana Liu & Zeshui Xu & Yue He & Xiao-Jun Zeng, 2021. "An inverse prospect theory-based algorithm in extended incomplete additive probabilistic linguistic preference relation environment and its application in financial products selection," Fuzzy Optimization and Decision Making, Springer, vol. 20(3), pages 397-428, September.
    • Handle: RePEc:spr:fuzodm:v:20:y:2021:i:3:d:10.1007_s10700-020-09348-3
    DOI: 10.1007/s10700-020-09348-3
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    References listed on IDEAS

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    1. Jia Huang & Xiao-Yue You & Hu-Chen Liu & Sheng-Li Si, 2019. "New approach for quality function deployment based on proportional hesitant fuzzy linguistic term sets and prospect theory," International Journal of Production Research, Taylor & Francis Journals, vol. 57(5), pages 1283-1299, March.
    2. Junius Gunaratne & Oded Nov, 2017. "Using interactive “Nutrition labels” for financial products to assist decision making under uncertainty," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 68(8), pages 1836-1849, August.
    3. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    4. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    5. Wu, Yunna & Xu, Chuanbo & Zhang, Ting, 2018. "Evaluation of renewable power sources using a fuzzy MCDM based on cumulative prospect theory: A case in China," Energy, Elsevier, vol. 147(C), pages 1227-1239.
    6. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages 251-278, October.
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