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An Intuitionistic Fuzzy Multi-Objective Goal Programming Approach to Portfolio Selection

Author

Listed:
  • Gao-Feng Yu

    (School of Economics and Management, Fuzhou University, Fuzhou, Fujian 350108, P. R. China‡School of Management and Economics, Sanming University, Sanming, Fujian 365004, P. R. China)

  • Deng-Feng Li

    (#x2020;School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, P. R. China)

  • De-Cui Liang

    (#x2020;School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, P. R. China)

  • Guang-Xu Li

    (#x2020;School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, P. R. China)

Abstract

Portfolio selection can be regarded as a type of multi-objective decision problem. However, traditional solution methods rarely discussed the decision maker’s nonsatisfaction and hesitation degrees with regard to multiple objectives and they require many extra binary variables, which lead to tedious computational burden. Based on the above, the aim of this paper is to develop a new and unified intuitionistic fuzzy multi-objective linear programming (IFMOLP) model for such portfolio selection problems. The nonmembership functions are constructed by the pessimistic, optimistic, and mixed approaches so as to perfect the traditional intuitionistic fizzy (IF) inequalities and IF theory. The decision maker’s hesitation degrees with regard to multiple objectives are represented by using IF inequalities, and the new IFMOLP model based on IF inequalities is proposed. The IFMOLP problems are solved by the S-shaped membership functions without extra binary variables required by the piecewise-linear method. Finally, the portfolio selection model under IF environments based on IFMOLP is established, and a real example is analyzed to demonstrate its validity and superiority. The developed unified IFMOLP model and method can not only effectively solve multi-objective decision problems with nonsatisfaction and hesitation degrees but also remarkably reduce the complexity of the nondeterministic polynomial-hard problems.

Suggested Citation

  • Gao-Feng Yu & Deng-Feng Li & De-Cui Liang & Guang-Xu Li, 2021. "An Intuitionistic Fuzzy Multi-Objective Goal Programming Approach to Portfolio Selection," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 1477-1497, September.
    • Handle: RePEc:wsi:ijitdm:v:20:y:2021:i:05:n:s0219622021500395
    DOI: 10.1142/S0219622021500395
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    Cited by:

    1. Yunsheng Deng & Jihui Zhang, 2022. "The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-13, February.
    2. Yahya Hanine & Youssef Lamrani Alaoui & Mohamed Tkiouat & Younes Lahrichi, 2021. "Socially Responsible Portfolio Selection: An Interactive Intuitionistic Fuzzy Approach," Mathematics, MDPI, vol. 9(23), pages 1-13, November.

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