IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v17y2020i2p525-d308663.html
   My bibliography  Save this article

VIKOR Method for MAGDM Based on Q-Rung Interval-Valued Orthopair Fuzzy Information and Its Application to Supplier Selection of Medical Consumption Products

Author

Listed:
  • Hui Gao

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

  • Linggang Ran

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

  • Guiwu Wei

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

  • Cun Wei

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

  • Jiang Wu

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

Abstract

The VIKOR model has been considered a viable tool for many decision-making applications in the past few years, given the advantages of considering the compromise between maximizing the utility of group and minimizing personal regrets. The q-rung interval-valued orthopair fuzzy set (q-RIVOFS) is a generalization of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS) and has emerged to solve more complex and uncertain decision making problems which IFS and PFS cannot handle. In this manuscript, the key innovation is to combine the traditional VIKOR model with q-RIVOFS to develop the q-rung interval-valued orthopair fuzzy VIKOR model. In the new developed model, to express more information, the attribute’s values in MAGDM problems are depicted by q-RIVOFNs. First of all, some basic theories and aggregation operators of q-RIVOFNs are simply introduced. Then we develop the origin VIKOR model to q-RIVOFS environment and briefly express the computing steps of this new established model. Thereafter, the effectiveness of the model is verified by an example of supplier selection of medical consumer products and through comparative analysis, the superiority of the new method is further illustrated.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jijerp:v:17:y:2020:i:2:p:525-:d:308663
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/17/2/525/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1660-4601/17/2/525/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bin Zhu & Zeshui Xu & Meimei Xia, 2012. "Dual Hesitant Fuzzy Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, May.
    2. Ebru Turanoglu Bekar & Mehmet Cakmakci & Cengiz Kahraman, 2016. "Fuzzy COPRAS method for performance measurement in total productive maintenance: a comparative analysis," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 17(5), pages 663-684, September.
    3. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
    4. 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.
    5. 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.
    6. Guiwu Wei & Cun Wei & Jiang Wu & Hongjun Wang, 2019. "Supplier Selection of Medical Consumption Products with a Probabilistic Linguistic MABAC Method," IJERPH, MDPI, vol. 16(24), pages 1-15, December.
    7. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dragan Pamucar & Ali Ebadi Torkayesh & Sanjib Biswas, 2023. "Supplier selection in healthcare supply chain management during the COVID-19 pandemic: a novel fuzzy rough decision-making approach," Annals of Operations Research, Springer, vol. 328(1), pages 977-1019, September.
    2. 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.
    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. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Mei Tang & Jie Wang & Jianping Lu & Guiwu Wei & Cun Wei & Yu Wei, 2019. "Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 7(4), pages 1-27, April.
    4. Lin, Sheng-Hau & Zhao, Xiaofeng & Wu, Jiuxing & Liang, Fachao & Li, Jia-Hsuan & Lai, Ren-Ji & Hsieh, Jing-Chzi & Tzeng, Gwo-Hshiung, 2021. "An evaluation framework for developing green infrastructure by using a new hybrid multiple attribute decision-making model for promoting environmental sustainability," Socio-Economic Planning Sciences, Elsevier, vol. 75(C).
    5. Marwa Hannouf & Getachew Assefa, 2018. "A Life Cycle Sustainability Assessment-Based Decision-Analysis Framework," Sustainability, MDPI, vol. 10(11), pages 1-22, October.
    6. Yucesan, Melih & Kahraman, Gökhan, 2019. "Risk evaluation and prevention in hydropower plant operations: A model based on Pythagorean fuzzy AHP," Energy Policy, Elsevier, vol. 126(C), pages 343-351.
    7. Chen, Lisa Y. & Wang, Tien-Chin, 2009. "Optimizing partners' choice in IS/IT outsourcing projects: The strategic decision of fuzzy VIKOR," International Journal of Production Economics, Elsevier, vol. 120(1), pages 233-242, July.
    8. Kuang-Hua Hu & Wei Jianguo & Gwo-Hshiung Tzeng, 2017. "Risk Factor Assessment Improvement for China’s Cloud Computing Auditing Using a New Hybrid MADM Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 737-777, May.
    9. Dheeraj Kumar Joshi & Ismat Beg & Sanjay Kumar, 2018. "Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems," Mathematics, MDPI, vol. 6(4), pages 1-20, March.
    10. Maghsoodi, Abtin Ijadi, 2023. "Cryptocurrency portfolio allocation using a novel hybrid and predictive big data decision support system," Omega, Elsevier, vol. 115(C).
    11. Hannan Amoozad Mahdiraji & Aliasghar Abbasi Kamardi & Moein Beheshti & Seyed Hossein Razavi Hajiagha & Luis Rocha-Lona, 2022. "Analysing supply chain coordination mechanisms dealing with repurposing challenges during Covid-19 pandemic in an emerging economy: a multi-layer decision making approach," Operations Management Research, Springer, vol. 15(3), pages 1341-1360, December.
    12. Serafim Opricovic, 2009. "A Compromise Solution in Water Resources Planning," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(8), pages 1549-1561, June.
    13. Ping Wang & Jie Wang & Guiwu Wei & Cun Wei, 2019. "Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications," Mathematics, MDPI, vol. 7(4), pages 1-23, April.
    14. Ioannis Sitaridis & Fotis Kitsios, 2020. "Competitiveness analysis and evaluation of entrepreneurial ecosystems: a multi-criteria approach," Annals of Operations Research, Springer, vol. 294(1), pages 377-399, November.
    15. Sirirat Sae Lim & Hong Ngoc Nguyen & Chia-Li Lin, 2022. "Exploring the Development Strategies of Science Parks Using the Hybrid MCDM Approach," Sustainability, MDPI, vol. 14(7), pages 1-29, April.
    16. Zeynep Gamze Mert & Gülşen Akman, 2011. "The Profile of the Organized Industrial Zones in Kocaeli/TURKEY," ERSA conference papers ersa11p1137, European Regional Science Association.
    17. Haji Vahabzadeh, Ali & Asiaei, Arash & Zailani, Suhaiza, 2015. "Reprint of “Green decision-making model in reverse logistics using FUZZY-VIKOR method”," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 334-347.
    18. Lin, Sheng-Hau & Huang, Xianjin & Fu, Guole & Chen, Jia-Tsong & Zhao, Xiaofeng & Li, Jia-Hsuan & Tzeng, Gwo-Hshiung, 2021. "Evaluating the sustainability of urban renewal projects based on a model of hybrid multiple-attribute decision-making," Land Use Policy, Elsevier, vol. 108(C).
    19. Saja Kosanović & Mirjana Miletić & Ljubo Marković, 2021. "Energy Refurbishment of Family Houses in Serbia in Line with the Principles of Circular Economy," Sustainability, MDPI, vol. 13(10), pages 1-14, May.
    20. Chaube, Shshank & Joshi, Dheeraj Kumar & Ujarari, Chandan Singh, 2023. "Hesitant Bifuzzy Set (an introduction): A new approach to assess the reliability of the systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 98-107.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jijerp:v:17:y:2020:i:2:p:525-:d:308663. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.