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Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment

Author

Listed:
  • Jiahuan He

    (School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China)

  • Xindi Wang

    (School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China)

  • Runtong Zhang

    (School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China)

  • Li Li

    (School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China)

Abstract

The recently proposed q -rung picture fuzzy set ( q -RPFSs) can describe complex fuzzy and uncertain information effectively. The Hamy mean (HM) operator gets good performance in the process of information aggregation due to its ability to capturing the interrelationships among aggregated values. In this study, we extend HM to q -rung picture fuzzy environment, propose novel q -rung picture fuzzy aggregation operators, and demonstrate their application to multi-attribute group decision-making (MAGDM). First of all, on the basis of Dombi t-norm and t-conorm (DTT), we propose novel operational rules of q -rung picture fuzzy numbers ( q -RPFNs). Second, we propose some new aggregation operators of q -RPFNs based on the newly-developed operations, i.e., the q -rung picture fuzzy Dombi Hamy mean ( q -RPFDHM) operator, the q -rung picture fuzzy Dombi weighted Hamy mean ( q -RPFDWHM) operator, the q -rung picture fuzzy Dombi dual Hamy mean ( q -RPFDDHM) operator, and the q -rung picture fuzzy Dombi weighted dual Hamy mean ( q -RPFDWDHM) operator. Properties of these operators are also discussed. Third, a new q -rung picture fuzzy MAGDM method is proposed with the help of the proposed operators. Finally, a best project selection example is provided to demonstrate the practicality and effectiveness of the new method. The superiorities of the proposed method are illustrated through comparative analysis.

Suggested Citation

  • Jiahuan He & Xindi Wang & Runtong Zhang & Li Li, 2019. "Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:468-:d:234139
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    References listed on IDEAS

    as
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    2. Shengjun Wu & Jie Wang & Guiwu Wei & Yu Wei, 2018. "Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators," Sustainability, MDPI, vol. 10(5), pages 1-26, May.
    3. Guiwu Wei, 2016. "Picture fuzzy cross-entropy for multiple attribute decision making problems," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 17(4), pages 491-502, July.
    4. Peide Liu & Xinli You, 2018. "Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-26, March.
    5. 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.
    6. Peide Liu & Junlin Liu & Shyi-Ming Chen, 2018. "Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(1), pages 1-24, January.
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