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Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making

Author

Listed:
  • Baosheng Zhang

    (College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

  • Tahir Mahmood

    (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan)

  • Jabbar Ahmmad

    (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan)

  • Qaisar Khan

    (Department of Mathematics Northern University Nowshera, Nowshera 24110, Pakistan)

  • Zeeshan Ali

    (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan)

  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, China
    School of Management, Fudan University, Shanghai 200433, China)

Abstract

The cubic q-rung orthopair fuzzy set (Cq-ROFS) contains much more information to determine the interval valued q-rung orthopair fuzzy sets (IVq-ROFSs) and q-rung orthopair fuzzy sets (q-ROFSs) simultaneously for coping with the vagueness in information. It provides more space for decision makers (DMs) to describe their opinion in the environment of fuzzy set (FS) theory. In this paper, firstly, we introduce the conception of Cq-ROFS and their characteristics. Further, the Heronian mean (HM) operator based on Cq-ROFS, called the weighted HM operator, are explored. To overcome the deficiency of HM operator and keeping in mind the partitioned structure in real decision situations, we offer Cubic q-rung orthopair fuzzy partitioned HM operator and its weighted shape. An algorithm of the proposed operators based on multi-attribute group decision making (MAGDM) problems for the selection of best alternative among the given ones is established. Lastly, we provide an example to depict the authenticity and advantages of the exposed methods by contrasting with other existing drawbacks.

Suggested Citation

  • Baosheng Zhang & Tahir Mahmood & Jabbar Ahmmad & Qaisar Khan & Zeeshan Ali & Shouzhen Zeng, 2020. "Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making," Mathematics, MDPI, vol. 8(7), pages 1-32, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1125-:d:382344
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    References listed on IDEAS

    as
    1. Aliya Fahmi & Fazli Amin & Saleem Abdullah & Asad Ali, 2018. "Cubic fuzzy Einstein aggregation operators and its application to decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(11), pages 2385-2397, August.
    2. Shouzhen Zeng & Dandan Luo & Chonghui Zhang & Xingsen Li, 2020. "A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 343-358, February.
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