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Extension of TOPSIS Method Under q-Rung Orthopair Fuzzy Hypersoft Environment Based on Correlation Coefficients and Its Applications to Multi-Attribute Group Decision-Making

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Abstract

In this paper, we propose a hybrid concept of q-rung orthopair fuzzy soft set and hypersoft set (HSS), called q-rung orthopair fuzzy hypersoft set (q-ROFHSS), which is used to express insufficient and undefined information in decision-making problems. Then we define some basic operations for q-ROFHS number (q-ROFHSN). Furthermore, correlation coefficients (CC) have been applied widely in many research domains and practical fields. In this work, we present correlation coefficients, weighted correlation coefficients, and some properties are also discussed, and then correlation coefficient-based TOPSIS (prioritization technique for order preference by similarity to ideal solution) method is developed under the q-rung orthopair fuzzy hypersoft settings. Using the established TOPSIS method, a decision-making procedure is proposed under q-rung orthopair fuzzy hypersoft environment to solve the uncertain and ambiguous information. In the end, a practical example is investigated and a comparison analysis is executed with other existing methods to illustrate the feasibility, practicality and superiority of our proposed method.

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Acknowledgements

The work was supported by National Natural Science Foundation of China (Grant Nos. 71871001, 71771001, 72001001); Natural Science Foundation for Distinguished Young Scholars of Anhui Province (Grant No. 1908085J03); Research Funding Project of Academic and technical leaders and reserve candidates in Anhui Province (Grant No.2018H179).

Funding

This work was provided by the National Natural Science Foundation of China (Grant Nos. 71871001, 71771001, 72001001); Natural Science Foundation for Distinguished Young Scholars of Anhui Province (Grant No. 1908085J03); Research Funding Project of Academic and technical leaders and reserve candidates in Anhui Province (Grant No.2018H179).

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Shahid Hussain Gurmani, Huayou Chen & Yuhang Bai

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  1. Shahid Hussain Gurmani
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  2. Huayou Chen
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  3. Yuhang Bai
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Contributions

SHG: conceptualization, formal analysis, writing—original draft, writing—review and editing, methodology. HC: supervision, investigation, validation, writing—review and editing. YB: calculation, software.

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Correspondence to Huayou Chen.

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Gurmani, S.H., Chen, H. & Bai, Y. Extension of TOPSIS Method Under q-Rung Orthopair Fuzzy Hypersoft Environment Based on Correlation Coefficients and Its Applications to Multi-Attribute Group Decision-Making. Int. J. Fuzzy Syst. 25, 1–14 (2023). https://doi.org/10.1007/s40815-022-01386-w

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