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A Multi-attribute Decision Making Method Based on Interval Pythagorean Fuzzy Language and the PROMETHEE Method

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Book cover Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1074))

Abstract

In order to deal with the multi-attribute decision making the problem which is related to the actual decision problem by randomness and uncertainty in the Pythagorean fuzzy environment, this paper proposes a method based on the interval value Pythagorean fuzzy set and the PROMETHEE to solve the multi-attribute decision problem.Firstly, the fuzzy interval Pythagorean decision matrix of each decision maker is constructed, and the weights of decision makers and attributes are determined by the relative proximity coefficient method, the entropy method and the distance of the Pythagorean fuzzy number. Secondly, using the comprehensive weight and IVPFWA operator to aggregate the decision matrix of each decision maker into a comprehensive matrix and Pythagorean fuzzy comprehensive scoring matrix, and then obtain the final sorting result through the PROMETHEE; Finally, the effectiveness and feasibility of the algorithm are verified by the factory location example, and compared with the results of TOPSIS and VIKOR methods.

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Authors and Affiliations

  1. Xi’an University of Posts and Telecommunications, Xi’an, 710016, China

    Wenyu Zhang, Yuting Zhu, Danshu Wang, Songmin Zhao & Dadi Dong

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

    Wenyu Zhang

Authors
  1. Wenyu Zhang
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  2. Yuting Zhu
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  3. Danshu Wang
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  4. Songmin Zhao
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  5. Dadi Dong
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Corresponding author

Correspondence to Yuting Zhu .

Editor information

Editors and Affiliations

  1. School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, Fukushima, Japan

    Yong Liu

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

    Lipo Wang

  3. Computer Science and Mathematics, University of Sao Paulo, Ribeirao Preto, Brazil

    Liang Zhao

  4. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

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Zhang, W., Zhu, Y., Wang, D., Zhao, S., Dong, D. (2020). A Multi-attribute Decision Making Method Based on Interval Pythagorean Fuzzy Language and the PROMETHEE Method. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_88

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