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Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information

Author

Listed:
  • Zengxian Li

    (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China)

  • Guiwu Wei

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Hui Gao

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

Abstract

Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing with multiple attribute decision making (MADM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by the studies regarding the HM operator and dual HM operator, we expand the HM operator and dual HM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we propose some HM and DHM operators with IVPFNs. Moreover, we present some new methods to solve MADM problems with the IVPFNs. Finally, an applicable example is given.

Suggested Citation

  • Zengxian Li & Guiwu Wei & Hui Gao, 2018. "Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(11), pages 1-27, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:228-:d:179119
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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.
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    Cited by:

    1. Liangping Wu & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas," IJERPH, MDPI, vol. 17(3), pages 1-31, January.
    2. Runtong Zhang & Yuping Xing & Jun Wang & Xiaopu Shang & Xiaomin Zhu, 2018. "A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China," IJERPH, MDPI, vol. 15(8), pages 1-29, August.

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