IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v13y2021i4p1642-d492732.html
   My bibliography  Save this article

TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management

Author

Listed:
  • Rana Muhammad Zulqarnain

    (School of Mathematics, Northwest University, Xi’an 710127, China)

  • Xiao Long Xin

    (School of Mathematics, Northwest University, Xi’an 710127, China
    School of Science, Xi’an Polytechnic University, Xi’an 710048, China)

  • Imran Siddique

    (Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan)

  • Waseem Asghar Khan

    (Department of Mathematics, Faculty of Sciences AlZulfi, Majmaah University, Majmaah 11952, Saudi Arabia)

  • Mogtaba Ahmed Yousif

    (Department of Mathematics, Faculty of Sciences AlZulfi, Majmaah University, Majmaah 11952, Saudi Arabia)

Abstract

The correlation coefficient between two variables is an important aspect of statistics. The accuracy of assessments of correlation relies on information from a set of discourses. Data collected in statistical studies are often full of exceptions. Pythagorean fuzzy soft sets (PFSS) are a parametrized family of extended Pythagorean fuzzy sets (PFS). They comprise a generalization of intuitionistic fuzzy soft sets which may be used to accurately assess deficiencies and uncertainties in evaluations. PFSS can accommodate uncertainty more competently than intuitionistic fuzzy soft sets and are the most important strategy when dealing with fuzzy information in decision-making processes. Herein, the concept and characteristics of correlation coefficients and the weighted correlation coefficients in PFSS are discussed. We also introduce the Pythagorean fuzzy soft weighted average (PFSWA) and Pythagorean fuzzy soft weighted geometric (PFSWG) operators and discuss their desirable characteristics. A prioritization technique for order preference by similarity to the ideal solution (TOPSIS) under the PFSS environment based on correlation coefficients and weighted correlation coefficients will be introduced. Through the proposed methodology, a technique for decision-making is developed. Additionally, an application of the proposed TOPSIS technique is presented for green supplier selection in green supply chain management (GSCM). The practicality, efficacy, and flexibility of the proposed approach is proved through comparative analyses, drawing upon existing studies.

Suggested Citation

  • Rana Muhammad Zulqarnain & Xiao Long Xin & Imran Siddique & Waseem Asghar Khan & Mogtaba Ahmed Yousif, 2021. "TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management," Sustainability, MDPI, vol. 13(4), pages 1-24, February.
    • Handle: RePEc:gam:jsusta:v:13:y:2021:i:4:p:1642-:d:492732
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/13/4/1642/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/13/4/1642/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ageron, Blandine & Gunasekaran, Angappa & Spalanzani, Alain, 2012. "Sustainable supply management: An empirical study," International Journal of Production Economics, Elsevier, vol. 140(1), pages 168-182.
    2. Artur Karczmarczyk & Jarosław Jankowski & Jarosław Wątróbski, 2018. "Multi-criteria decision support for planning and evaluation of performance of viral marketing campaigns in social networks," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-32, December.
    3. B. Ageron & A. Gunasekaran & A. Spalanzani, 2012. "Sustainable supply management : an empirical study," Post-Print halshs-00740499, HAL.
    4. Kannan, Devika & Jabbour, Ana Beatriz Lopes de Sousa & Jabbour, Charbel José Chiappetta, 2014. "Selecting green suppliers based on GSCM practices: Using fuzzy TOPSIS applied to a Brazilian electronics company," European Journal of Operational Research, Elsevier, vol. 233(2), pages 432-447.
    5. Sarkis, Joseph & Zhu, Qinghua & Lai, Kee-hung, 2011. "An organizational theoretic review of green supply chain management literature," International Journal of Production Economics, Elsevier, vol. 130(1), pages 1-15, March.
    6. Mark P. Sharfman & Teresa M. Shaft & Robert P. Anex, 2009. "The road to cooperative supply‐chain environmental management: trust and uncertainty among pro‐active firms," Business Strategy and the Environment, Wiley Blackwell, vol. 18(1), pages 1-13, January.
    7. Muhammad Riaz & Wojciech Sałabun & Hafiz Muhammad Athar Farid & Nawazish Ali & Jarosław Wątróbski, 2020. "A Robust q-Rung Orthopair Fuzzy Information Aggregation Using Einstein Operations with Application to Sustainable Energy Planning Decision Management," Energies, MDPI, vol. 13(9), pages 1-39, May.
    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. Rahim Tavakolifar & Himan Shahabi & Mohsen Alizadeh & Sayed M. Bateni & Mazlan Hashim & Ataollah Shirzadi & Effi Helmy Ariffin & Isabelle D. Wolf & Saman Shojae Chaeikar, 2023. "Spatial Prediction of Landslides Using Hybrid Multi-Criteria Decision-Making Methods: A Case Study of the Saqqez-Marivan Mountain Road in Iran," Land, MDPI, vol. 12(6), pages 1-19, May.
    2. G. Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "A Sustainable Green Inventory System with Novel Eco-Friendly Demand Incorporating Partial Backlogging under Fuzziness," Sustainability, MDPI, vol. 14(15), pages 1-20, July.
    3. Tuğba Yeğin & Muhammad Ikram, 2022. "Performance Evaluation of Green Furniture Brands in the Marketing 4.0 Period: An Integrated MCDM Approach," Sustainability, MDPI, vol. 14(17), pages 1-32, August.
    4. Qaisar Khan & Jeonghwan Gwak & Muhammad Shahzad & Muhammad Kamran Alam, 2021. "A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty," Sustainability, MDPI, vol. 13(13), pages 1-35, June.
    5. Hisham Alidrisi, 2021. "Measuring the Environmental Maturity of the Supply Chain Finance: A Big Data-Based Multi-Criteria Perspective," Logistics, MDPI, vol. 5(2), pages 1-24, April.

    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. Luthra, Sunil & Garg, Dixit & Haleem, Abid, 2015. "An analysis of interactions among critical success factors to implement green supply chain management towards sustainability: An Indian perspective," Resources Policy, Elsevier, vol. 46(P1), pages 37-50.
    2. Guo Li & Ming K. Lim & Zhaohua Wang, 2020. "Stakeholders, green manufacturing, and practice performance: empirical evidence from Chinese fashion businesses," Annals of Operations Research, Springer, vol. 290(1), pages 961-982, July.
    3. Kannan, Devika & Jabbour, Ana Beatriz Lopes de Sousa & Jabbour, Charbel José Chiappetta, 2014. "Selecting green suppliers based on GSCM practices: Using fuzzy TOPSIS applied to a Brazilian electronics company," European Journal of Operational Research, Elsevier, vol. 233(2), pages 432-447.
    4. Zhifeng Wu & Senjing Zhai & Jiangtao Hong & Yibin Zhang & Keren Shi, 2018. "Building Sustainable Supply Chains for Organizations Based on QFD: A Case Study," IJERPH, MDPI, vol. 15(12), pages 1-12, December.
    5. Giang N. T. Nguyen & Tapan Sarker, 2018. "Sustainable coffee supply chain management: a case study in Buon Me Thuot City, Daklak, Vietnam," International Journal of Corporate Social Responsibility, Springer, vol. 3(1), pages 1-17, December.
    6. Małgorzata Ćwil & Witold Bartnik & Sebastian Jarzębowski, 2021. "Railway Vehicle Energy Efficiency as a Key Factor in Creating Sustainable Transportation Systems," Energies, MDPI, vol. 14(16), pages 1-14, August.
    7. Ramin Bashir Khodaparasti & Hooshmand Bagheri Garabollagh & Reza Mohammadpour, 2020. "Engagement in Green Procurement: Antecedents and Outcomes on Manufacturing Small and Medium-Sized Enterprises from Iran," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 22(53), pages 102-102, February.
    8. Rodríguez-Espíndola, Oscar & Cuevas-Romo, Ana & Chowdhury, Soumyadeb & Díaz-Acevedo, Natalie & Albores, Pavel & Despoudi, Stella & Malesios, Chrisovalantis & Dey, Prasanta, 2022. "The role of circular economy principles and sustainable-oriented innovation to enhance social, economic and environmental performance: Evidence from Mexican SMEs," International Journal of Production Economics, Elsevier, vol. 248(C).
    9. Farheen Naz & Rohit Agrawal & Anil Kumar & Angappa Gunasekaran & Abhijit Majumdar & Sunil Luthra, 2022. "Reviewing the applications of artificial intelligence in sustainable supply chains: Exploring research propositions for future directions," Business Strategy and the Environment, Wiley Blackwell, vol. 31(5), pages 2400-2423, July.
    10. Helene Seidel-Sterzik & Sarah McLaren & Elena Garnevska, 2018. "Effective Life Cycle Management in SMEs: Use of a Sector-Based Approach to Overcome Barriers," Sustainability, MDPI, vol. 10(2), pages 1-22, January.
    11. Samuel Adomako, 2020. "Environmental collaboration, sustainable innovation, and small and medium‐sized enterprise growth in sub‐Saharan Africa: Evidence from Ghana," Sustainable Development, John Wiley & Sons, Ltd., vol. 28(6), pages 1609-1619, November.
    12. Ruifeng Gong & Jian Xue & Laijun Zhao & Oleksandra Zolotova & Xiaoqing Ji & Yan Xu, 2019. "A Bibliometric Analysis of Green Supply Chain Management Based on the Web of Science (WOS) Platform," Sustainability, MDPI, vol. 11(12), pages 1-18, June.
    13. Geyi, Dan’Asabe Godwin & Yusuf, Yahaya & Menhat, Masha S. & Abubakar, Tijjani & Ogbuke, Nnamdi J., 2020. "Agile capabilities as necessary conditions for maximising sustainable supply chain performance: An empirical investigation," International Journal of Production Economics, Elsevier, vol. 222(C).
    14. Margherita Pero & Antonella Moretto & Eleonora Bottani & Barbara Bigliardi, 2017. "Environmental Collaboration for Sustainability in the Construction Industry: An Exploratory Study in Italy," Sustainability, MDPI, vol. 9(1), pages 1-25, January.
    15. Glover, J.L. & Champion, D. & Daniels, K.J. & Dainty, A.J.D., 2014. "An Institutional Theory perspective on sustainable practices across the dairy supply chain," International Journal of Production Economics, Elsevier, vol. 152(C), pages 102-111.
    16. Rasih Boztepe & Onur Çetin, 2020. "Sustainable Warehousing: Selecting The Best Warehouse for Solar Transformation," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 8(1), pages 97-110, June.
    17. Kannan, Devika, 2021. "Sustainable procurement drivers for extended multi-tier context: A multi-theoretical perspective in the Danish supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
    18. So Ra Park & Sung Tae Kim & Hong-Hee Lee, 2022. "Green Supply Chain Management Efforts of First-Tier Suppliers on Economic and Business Performances in the Electronics Industry," Sustainability, MDPI, vol. 14(3), pages 1-23, February.
    19. Su-Yol Lee, 2016. "Responsible supply chain management in the Asian context: the effects on relationship commitment and supplier performance," Asia Pacific Business Review, Taylor & Francis Journals, vol. 22(2), pages 325-342, April.
    20. Ding, Huiping & Zhao, Qilan & An, Zhirong & Tang, Ou, 2016. "Collaborative mechanism of a sustainable supply chain with environmental constraints and carbon caps," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 191-207.

    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:jsusta:v:13:y:2021:i:4:p:1642-:d:492732. 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.