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A Probabilistic Fuzzy Language Multi-attribute Decision Making Method Based on Heronian Operator and Regret Theory

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Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2022)

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 153))

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Abstract

Aiming at the multi-attribute decision-making problem with unknown attribute and expert weight, this paper proposes a multi-attribute decision-making method based on Heronian operator and regret theory. Firstly, the probability language term set (PLTS) is used to describe the evaluation information of decision-makers to form an initial matrix. Then the distance between experts is calculated, and the expert weight is obtained by using the node tightness. Secondly, integrate the decision information of all experts and construct the initial comprehensive matrix. Then define an impact factor parameter to reduce the impact of unreasonable schemes in the polymerization process and form the final comprehensive evaluation matrix. Thirdly, construct perceived utility matrix using Regret Theory. Finally, the information entropy theory is used to determine the attribute weight, and the three parameter weighted Heronian average operator is used to aggregate the decision values as weighted Heronian average operator is used to aggregate the decision values as verified by an example of evaluating the innovation ability of scientific research verified by an example of evaluating the innovation ability of scientific research institutions, and the results obtained by this method are reasonable and reliable.

Shaanxi Education and Scientific Research Project(08JK431)

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Author information

Authors and Affiliations

  1. Xi’an University of Posts and Telecommunications, Xi’an, 710061, China

    Wenyu Zhang, Xue Gao, Yongbin Yuan & Weina Luo

  2. China Research Institute of Aerospace Systems Science and Engineering, Beijing, 100048, China

    Wenyu Zhang

  3. Northwest University, Xi’an, 710127, China

    Jiahao Zeng

Authors
  1. Wenyu Zhang
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  2. Xue Gao
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  3. Yongbin Yuan
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  4. Weina Luo
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  5. Jiahao Zeng
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Corresponding author

Correspondence to Xue Gao .

Editor information

Editors and Affiliations

  1. Division of Intelligent Future Technologies, Mälardalen University, Västerås, Västmanlands Län, Sweden

    Ning Xiong

  2. Department of Electronic and Computer Engineering, Brunel University London, Uxbridge, Middlesex, UK

    Maozhen Li

  3. School of Information Science and Technology, Hunan University, Changsha, Hunan, China

    Kenli Li

  4. School of Information Science and Technology, Hunan University, Changsha, Hunan, China

    Zheng Xiao

  5. College of Computer and Data Science, Fuzhou University, Fuzhou, Fujian, China

    Longlong Liao

  6. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

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Zhang, W., Gao, X., Yuan, Y., Luo, W., Zeng, J. (2023). A Probabilistic Fuzzy Language Multi-attribute Decision Making Method Based on Heronian Operator and Regret Theory. In: Xiong, N., Li, M., Li, K., Xiao, Z., Liao, L., Wang, L. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-031-20738-9_48

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