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q-ROF-SIR methods and their applications to multiple attribute decision making

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Abstract

q-rung orthopair fuzzy set (q-ROFS) is a useful tool to express uncertain information. With the parameter q increasing, q-ROFSs have broader space for describing uncertain information than intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs). This paper extends the superiority and inferiority ranking (SIR) methods to solve multiple attribute decision making (MADM) problems within the q-ROF environment, named q-ROF-SIR methods. In the q-ROF-SIR methods, the possibility degree (PD) for q-rung orthopair fuzzy numbers (q-ROFNs) is introduced to improve the preference intensity. Further, the q-ROF entropy weight (q-ROF-EW) method is constructed to determine the attribute weights suppose the weights of attribute are unknown. Finally, the effectiveness and applicability of the q-ROF-SIR methods are verified.

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Acknowledgements

This work is partially supported by the Natural Science Foundation of China (Grant No. 61673320). The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, Henan, China

    Hua Zhu & Hua Li

  2. Henan Academy of Big Data, Zhengzhou University, Zhengzhou, 450001, Henan, China

    Jianbin Zhao

  3. Henan Key Laboratory of Financial Engineering, Zhengzhou, 450001, Henan, China

    Hua Zhu, Jianbin Zhao & Hua Li

  4. Zhengzhou Key Laboratory of Big Data Analysis and Application, Zhengzhou, 450001, Henan, China

    Jianbin Zhao

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  1. Hua Zhu
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  2. Jianbin Zhao
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  3. Hua Li
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Correspondence to Jianbin Zhao.

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Zhu, H., Zhao, J. & Li, H. q-ROF-SIR methods and their applications to multiple attribute decision making. Int. J. Mach. Learn. & Cyber. 13, 595–607 (2022). https://doi.org/10.1007/s13042-020-01267-4

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