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Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient

  • Soft computing in decision making and in modeling in economics
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Abstract

Due to the complexity of objective world, as well as the ambiguity of human thinking, the practical decision-making issues become more and more difficult. Pythagorean fuzzy set is an effective tool for depicting uncertainty of the multi-criteria decision-making problems. This study aims to develop a Pythagorean fuzzy multi-criteria decision-making approach to deal with decision-making problem under uncertainty circumstance. Firstly, the concept, representation and related properties of Spearman rank correlation coefficient (SRCC) originated from statistical theory between two PFSs are introduced, which is used to measure the closeness degree between ideal alternative and each alternative. Then, a multi-criteria decision-making approach with Pythagorean fuzzy environment is developed based on the proposed SRCC. Finally, to illustrate the applicability and effectiveness of the proposed method, a real-world infrastructure project decision-making was demonstrated. The result shows that the main advantage of the proposed decision rule would reduce the complexity of the decision-making problem both in theory and practice.

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Acknowledgements

The authors acknowledge with gratitude the National Key R&D Program of China(No.2018YFC0406905), MOE (Ministry of Education in China) Project of Humanities and Social Sciences (No.19YJC630078) Youth Talents Teachers Scheme of Henan Province Universities (No.2018GGJS080), the National Natural Science Foundation of China (No.71302191), the Foundation for Distinguished Young Talents in Higher Education of Henan (Humanities and Social Sciences), China (No.2017-cxrc-023). This study would not have been possible without their financial support.

Funding

This research was funded by the National Key R&D Program of China, grant number 2018YFC0406905, MOE (Ministry of Education in China) Project of Humanities and Social Sciences, grant number 19YJC630078,Youth Talents Teachers Scheme of Henan Province Universities, grant number 2018GGJS080, the National Natural Science Foundation of China, grant number 71302191, the Foundation for Distinguished Young Talents in Higher Education of Henan (Humanities & Social Sciences), China, grant number 2017-cxrc-023. This study would not have been possible without their financial support.

Author information

Authors and Affiliations

  1. Department of Construction Engineering and Management, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    Huimin Li

  2. School of Architecture and Built Environment, Centre for Asian and Middle Eastern Architecture, University of Adelaide, Adelaide, 5005, South Australia

    Huimin Li

  3. School of Management and Economics, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    Yongchao Cao

  4. Henan Water Resources Investment and Water and Land Resources Development Co. Ltd, Zhengzhou, 450003, China

    Yongchao Cao

  5. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    Limin Su

Authors
  1. Huimin Li
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  2. Yongchao Cao
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  3. Limin Su
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Contributions

HL and YC took part in formal analysis HL involved in funding acquisition LS took part in methodology HL participated in project administration LS and YC involved in writing—original draft HL and LS took part in writing—review and editing.

Corresponding author

Correspondence to Limin Su.

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Li, H., Cao, Y. & Su, L. Pythagorean fuzzy multi-criteria decision-making approach based on Spearman rank correlation coefficient. Soft Comput 26, 3001–3012 (2022). https://doi.org/10.1007/s00500-021-06615-2

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