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A Novel Method for Decision Making by Double-Quantitative Rough Sets in Hesitant Fuzzy Systems

Author

Listed:
  • Xiaoyan Zhang

    (College of Artificial Intelligence, Southwest University, Chongqing 400715, China)

  • Qian Yang

    (School of Sciences, Chongqing University of Technology, Chongqing 400054, China)

Abstract

In some complex decision-making issues such as economy, management, and social development, decision makers are often hesitant to reach a consensus on the decision-making results due to different goals. How to reduce the influence of decision makers’ subjective arbitrariness on decision results is an inevitable task in decision analysis. Following the principle of improving the fault-tolerance capability, this paper firstly proposes the graded and the variable precision rough set approaches from a single-quantitative decision-making view in a hesitant fuzzy environment (HFEn). Moreover, in order to improve the excessive overlap caused by the high concentration of single quantization, we propose two kinds of double-quantitative decision-making methods by cross-considering relative quantitative information and absolute quantitative information. The proposal of this method not only solves the fuzzy system problem of people’s hesitation in the decision-making process, but also greatly enhances the fault-tolerant ability of the model in application. Finally, we further compare the approximation process and decision results of the single-quantitative models and the double-quantitative models, and explore some basic properties and corresponding decision rules of these models. Meanwhile, we introduce a practical example of housing purchase to expound and verify these theories, which shows that the application value of these theories is impressive.

Suggested Citation

  • Xiaoyan Zhang & Qian Yang, 2022. "A Novel Method for Decision Making by Double-Quantitative Rough Sets in Hesitant Fuzzy Systems," Mathematics, MDPI, vol. 10(12), pages 1-24, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2069-:d:839370
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    References listed on IDEAS

    as
    1. Huchang Liao & Zeshui Xu & Meimei Xia, 2014. "Multiplicative Consistency Of Hesitant Fuzzy Preference Relation And Its Application In Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 47-76.
    2. Meimei Xia & Zeshui Xu & Na Chen, 2013. "Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 259-279, March.
    3. B Zhu & Z S Xu, 2013. "Hesitant fuzzy Bonferroni means for multi-criteria decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(12), pages 1831-1840, December.
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