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Multicriteria q-Rung orthopair fuzzy decision analysis: a novel approach based on Archimedean aggregation operators with the confidence levels

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

The confidence levels can reduce the influence of the unreasonable evaluation value that was given by the decision-maker on the decision-making results. The Archimedean t-norm and t-conorm (ATS) also have many advantages for the processing of uncertain data. Under this environment, the confidence q-rung orthopair fuzzy aggregation operator based on ATS is one of the most successful extensions of confidence q-rung orthopair fuzzy numbers in which we decrease the deviation caused by the subjective perspective of the decision-maker in the multicriteria group decision-making problems. In this paper, we propose weighted, ordered weighted averaging aggregation operators and weighted, ordered weighted geometric aggregation operators based on ATS, respectively. Moreover, the properties and four specific forms associated with aggregation operators are also investigated. In this study, a novel MCGDM approach is introduced by using the proposed operator. A reasonable example is proposed and compared the results that are obtained by our operators and that in the existing literature, so as to verify the rationality and flexible of our method. From the study, we concluded that the proposed method can reduce the impact of extreme data, and make decision-making results more reasonable by considering the attitudes of decision-makers.

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Acknowledgements

This work was supported in part by National Key Research and Development Program of China (2019QY(Y)0301, the National Natural Science Foundation of China under Grant Nos. 12061067, 62176033 and 61936001, and the Natural Science Foundation of Chongqing No. cstc2019jcyj-cxttX0002.

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Authors and Affiliations

  1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Yabin Shao & Ning Wang

  2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

    Zengtai Gong

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  1. Yabin Shao
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  2. Ning Wang
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  3. Zengtai Gong
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Correspondence to Yabin Shao.

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Shao, Y., Wang, N. & Gong, Z. Multicriteria q-Rung orthopair fuzzy decision analysis: a novel approach based on Archimedean aggregation operators with the confidence levels. Soft Comput 26, 4375–4394 (2022). https://doi.org/10.1007/s00500-022-06776-8

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