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A Novel Decision-Making Model with Pythagorean Fuzzy Linguistic Information Measures and Its Application to a Sustainable Blockchain Product Assessment Problem

Author

Listed:
  • Feifei Jin

    (School of Business, Anhui University, Hefei 230601, China)

  • Lidan Pei

    (School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China)

  • Huayou Chen

    (School of Mathematical Sciences, Anhui University, Hefei 230601, China)

  • Reza Langari

    (Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA)

  • Jinpei Liu

    (School of Business, Anhui University, Hefei 230601, China)

Abstract

This study presents a novel multi-attribute decision-making (MADM) model on the basis of Pythagorean fuzzy linguistic information measures. To do so, we first present a new concept of Pythagorean fuzzy linguistic sets to describe fuzziness and inconsistent information, in which the Pythagorean fuzzy linguistic values (PFLVs) are represented by the linguistic membership degree and linguistic non-membership degree. Then, we introduce two axiomatic definitions of information measures for PFLVs, including Pythagorean fuzzy linguistic entropy and the Pythagorean fuzzy linguistic similarity measure, to measure the uncertainty degree of PFLVs and the similarity degree between among PFLVs. In addition, based on the logarithmic function, we construct two new information measure formulas and verify that they satisfy the axiomatic conditions of the Pythagorean fuzzy linguistic entropy and similarity measure, respectively. We further explore the relationship between the Pythagorean fuzzy linguistic entropy and similarity measure. Finally, we present a novel Pythagorean fuzzy linguistic MADM model with the Pythagorean fuzzy linguistic entropy and similarity measure. A numerical example of selecting the most desirable sustainable blockchain product is given, and a comparison with the existing approach was performed to validate the reliability of the developed decision-making model.

Suggested Citation

  • Feifei Jin & Lidan Pei & Huayou Chen & Reza Langari & Jinpei Liu, 2019. "A Novel Decision-Making Model with Pythagorean Fuzzy Linguistic Information Measures and Its Application to a Sustainable Blockchain Product Assessment Problem," Sustainability, MDPI, vol. 11(20), pages 1-17, October.
    • Handle: RePEc:gam:jsusta:v:11:y:2019:i:20:p:5630-:d:275867
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    References listed on IDEAS

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    Cited by:

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    2. Jiefeng Wang & Shouzhen Zeng & Chonghui Zhang, 2020. "Single-Valued Neutrosophic Linguistic Logarithmic Weighted Distance Measures and Their Application to Supplier Selection of Fresh Aquatic Products," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    3. Bai, Chunguang & Zhu, Qingyun & Sarkis, Joseph, 2021. "Joint blockchain service vendor-platform selection using social network relationships: A multi-provider multi-user decision perspective," International Journal of Production Economics, Elsevier, vol. 238(C).
    4. Feng Li & Pengchao Zhang & Xin Huang & Jiabin Sun & Qian Li, 2022. "Emergency Decision-Making for Middle Route of South-to-North Water Diversion Project Using Case-Based Reasoning and Prospect Theory," Sustainability, MDPI, vol. 14(21), pages 1-29, October.

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