Multi-attribute decision-making method based on q-rung orthopair probabilistic hesitant fuzzy schweizer-sklar power weighted hamy mean operator.

Zhiyuan Chen, Di Shen, Fuping Yu, Xinlei Tang, Zhe Zhang
Author Information
  1. Zhiyuan Chen: Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China.
  2. Di Shen: Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China. ORCID
  3. Fuping Yu: Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China.
  4. Xinlei Tang: Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China.
  5. Zhe Zhang: Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China.

Abstract

In order to further improve the computing power of the information aggregation operator in the q-rung orthopair probabilistic hesitant fuzzy environment, this paper proposes a multi-attribute decision-making method based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator. Firstly, the algorithm of q-rung orthopair probabilistic hesitant fuzzy set is improved based on the Schweizer-Sklar T-norm. In order to better reflect the degree of hesitation of decision-making experts, a new q-rung orthopair probabilistic hesitant fuzzy distance measure is proposed, which provides a basis for subsequent power weighted calculations. Furthermore, considering the correlation between attributes and the influence of data extremes, some information aggregation operators and their power weighted forms are proposed. Finally, a multi-attribute decision-making model based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator is established, and the reliability and validity of the research content in this paper are verified through decision-making examples and comparative analysis.

References

  1. IEEE Trans Syst Man Cybern B Cybern. 2001;31(1):19-31 [PMID: 18244765]
  2. PLoS One. 2021 Oct 21;16(10):e0258448 [PMID: 34673792]

MeSH Term

Decision Making
Fuzzy Logic
Reproducibility of Results
Algorithms
Records

Word Cloud

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