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Pythagorean 2-Tuple Linguistic Taxonomy Method for Supplier Selection in Medical Instrument Industries

Author

Listed:
  • Tingting He

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Guiwu Wei

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Jianping Lu

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Cun Wei

    (School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China)

  • Rui Lin

    (School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing 402160, China)

Abstract

Supplier selection in medical instrument industries is a classical multiple attribute group decision making (MAGDM) problem. The Pythagorean 2-tuple linguistic sets (P2TLSs) can reflect uncertain or fuzzy information well and solve the supplier selection in medical instrument industries, and the original Taxonomy is very appropriate for comparing different alternatives with respect to their advantages from studied attributes. In this study, we present an algorithm that combines Pythagorean 2-tuple linguistic numbers (P2TLNs) with the Taxonomy method, where P2TLNs are applied to express the evaluation of decision makers on alternatives. Relying on the Pythagorean 2-tuple linguistic weighted average (P2TLWA) operator or Pythagorean 2-tuple linguistic weighted geometric (P2TLWG) operator to fuse P2TLNs, the new general framework is established for Pythagorean 2-tuple linguistic multiple attribute group decision making (MAGDM) under the classical Taxonomy method. Ultimately, an application case for supplier selection in medical instrument industries is designed to test the novel method’s applicability and practicality and a comparative analysis with three other methods is used to elaborate further.

Suggested Citation

  • Tingting He & Guiwu Wei & Jianping Lu & Cun Wei & Rui Lin, 2019. "Pythagorean 2-Tuple Linguistic Taxonomy Method for Supplier Selection in Medical Instrument Industries," IJERPH, MDPI, vol. 16(23), pages 1-14, December.
    • Handle: RePEc:gam:jijerp:v:16:y:2019:i:23:p:4875-:d:293797
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    References listed on IDEAS

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    1. Agnieszka Konys, 2019. "Green Supplier Selection Criteria: From a Literature Review to a Comprehensive Knowledge Base," Sustainability, MDPI, vol. 11(15), pages 1-41, August.
    2. Alireza Alinezhad & Javad Khalili, 2019. "New Methods and Applications in Multiple Attribute Decision Making (MADM)," International Series in Operations Research and Management Science, Springer, number 978-3-030-15009-9, September.
    3. Tingting He & Guiwu Wei & Jianping Lu & Cun Wei & Rui Lin, 2019. "Pythagorean 2-Tuple Linguistic VIKOR Method for Evaluating Human Factors in Construction Project Management," Mathematics, MDPI, vol. 7(12), pages 1-13, November.
    4. Luis Pérez-Domínguez & Luis Alberto Rodríguez-Picón & Alejandro Alvarado-Iniesta & David Luviano Cruz & Zeshui Xu, 2018. "MOORA under Pythagorean Fuzzy Set for Multiple Criteria Decision Making," Complexity, Hindawi, vol. 2018, pages 1-10, April.
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    Cited by:

    1. Anam Habib & Zareen A. Khan & Muhammad Riaz & Dragan Marinkovic, 2023. "Performance Evaluation of Healthcare Supply Chain in Industry 4.0 with Linear Diophantine Fuzzy Sine-Trigonometric Aggregation Operations," Mathematics, MDPI, vol. 11(12), pages 1-29, June.
    2. Liangping Wu & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas," IJERPH, MDPI, vol. 17(3), pages 1-31, January.
    3. Zaoli Yang & Xin Li & Harish Garg & Meng Qi, 2020. "Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment," IJERPH, MDPI, vol. 17(10), pages 1-27, May.
    4. Jianping Lu & Tingting He & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method," IJERPH, MDPI, vol. 17(6), pages 1-21, March.
    5. Hui Gao & Linggang Ran & Guiwu Wei & Cun Wei & Jiang Wu, 2020. "VIKOR Method for MAGDM Based on Q-Rung Interval-Valued Orthopair Fuzzy Information and Its Application to Supplier Selection of Medical Consumption Products," IJERPH, MDPI, vol. 17(2), pages 1-14, January.

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