IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v33y2023i2p1-22id1.html
   My bibliography  Save this article

Some equations to identify the threshold value in the DEMATEL method

Author

Listed:
  • Seyed Hossain Ebrahimi

Abstract

DEMATEL technique is a graphical representation method to deal with complex systems. The final analyzed cause and effect categorization would be fundamentally dependent on the threshold value setting. This research is intended to present some mathematical models for calculating the threshold value in the DEMATEL method. The min(max) operator has been intentionally used for considering three equations to identify the threshold value. Additionally, the proposed mathematical equations are gradually developed to gain more useful data to yield a threshold value as well. Particularly, the expert’s initial scoring for building the primary matrix would also be applied in one equation. Results show eliciting an expert’s opinions regarding the value of a threshold value determination leads to setting relatively high thresholds. But, there would be an equation which takes advantage of more data derived from the total influence matrix T. Moreover, a span of different threshold values is gained by making use of the Hamacher t-conorms operator which especially would cause better complexity management of the final total matrix T based on expert’s opinions. As a contribution to this research, threshold value determination is developed mathematically by making use of the direct data gained by the total matrix T. Besides combining data derived from total matrix T, the initial influence direct matrix given by experts, a simpler aggregating procedure and no need for statistical information compared to special Lenth’s method hints at this research’s novelty as well.

Suggested Citation

  • Seyed Hossain Ebrahimi, 2023. "Some equations to identify the threshold value in the DEMATEL method," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 1-22.
    • Handle: RePEc:wut:journl:v:33:y:2023:i:2:p:1-22:id:1
    DOI: 10.37190/ord230201
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/ord2023vol33no2_1.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.37190/ord230201?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Perry C. Y. Liu & Huai-Wei Lo & James J. H. Liou, 2020. "A Combination of DEMATEL and BWM-Based ANP Methods for Exploring the Green Building Rating System in Taiwan," Sustainability, MDPI, vol. 12(8), pages 1-19, April.
    2. Kinga Kijewska & Witold Torbacki & Stanisław Iwan, 2018. "Application of AHP and DEMATEL Methods in Choosing and Analysing the Measures for the Distribution of Goods in Szczecin Region," Sustainability, MDPI, vol. 10(7), pages 1-26, July.
    3. Pan, Jeh-Nan & Nguyen, Hung Thi Ngoc, 2015. "Achieving customer satisfaction through product–service systems," European Journal of Operational Research, Elsevier, vol. 247(1), pages 179-190.
    4. Jing Li & Chi-Hui Wu & Chien-Wen Chen & Yi-Fen Huang & Ching-Torng Lin, 2020. "Apply Fuzzy DEMATEL to Explore the Decisive Factors of the Auto Lighting Aftermarket Industry in Taiwan," Mathematics, MDPI, vol. 8(7), pages 1-27, July.
    Full references (including those not matched with items on IDEAS)

    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. Wei Hong & Changyuan Zheng & Linhai Wu & Xujin Pu, 2019. "Analyzing the Relationship between Consumer Satisfaction and Fresh E-Commerce Logistics Service Using Text Mining Techniques," Sustainability, MDPI, vol. 11(13), pages 1-16, June.
    2. Rodrigo Pascual & Matías Siña & Gabriel Santelices & Milton Román & Enrique López Droguett, 2017. "Optimal channel coordination in use-based product-service system contracts," International Journal of Production Research, Taylor & Francis Journals, vol. 55(23), pages 6946-6956, December.
    3. Renbang Shan & Li Luo & Baoli Shi, 2023. "The choice of recycling strategies for decision-makers based on government subsidy and service budget," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(2), pages 1441-1472, February.
    4. Büyüközkan, Gülçin & Güleryüz, Sezin, 2016. "An integrated DEMATEL-ANP approach for renewable energy resources selection in Turkey," International Journal of Production Economics, Elsevier, vol. 182(C), pages 435-448.
    5. Oleksandra Osypchuk & Katarzyna Sosik, 2021. "Impact of the Construction Supplies Implementation on Road Safety in the City Center: A Case Study of the City of Szczecin," Sustainability, MDPI, vol. 13(4), pages 1-15, February.
    6. Renan Favarão da Silva & Marjorie Maria Bellinello & Gilberto Francisco Martha de Souza & Sara Antomarioni & Maurizio Bevilacqua & Filippo Emanuele Ciarapica, 2021. "Deciding a Multicriteria Decision-Making (MCDM) Method to Prioritize Maintenance Work Orders of Hydroelectric Power Plants," Energies, MDPI, vol. 14(24), pages 1-22, December.
    7. Agnieszka Szmelter-Jarosz & Jagienka Rześny-Cieplińska, 2019. "Priorities of Urban Transport System Stakeholders According to Crowd Logistics Solutions in City Areas. A Sustainability Perspective," Sustainability, MDPI, vol. 12(1), pages 1-19, December.
    8. Sandra Alvarez Gallo & Julien Maheut, 2023. "Multi-Criteria Analysis for the Evaluation of Urban Freight Logistics Solutions: A Systematic Literature Review," Mathematics, MDPI, vol. 11(19), pages 1-24, September.
    9. Zhen Zhang & Zhuolin Li, 2023. "Consensus-based TOPSIS-Sort-B for multi-criteria sorting in the context of group decision-making," Annals of Operations Research, Springer, vol. 325(2), pages 911-938, June.
    10. Preechaya Chavalittumrong & Mark Speece, 2022. "Three-Pillar Sustainability and Brand Image: A Qualitative Investigation in Thailand’s Household Durables Industry," Sustainability, MDPI, vol. 14(18), pages 1-22, September.
    11. Maryam Afghah & Seyed Mojtaba Sajadi & Seyed Mostafa Razavi & Mohammadreza Taghizadeh‐Yazdi, 2023. "Hard dimensions evaluation in sustainable supply chain management for environmentally adaptive and mitigated adverse eco‐effect environmental policies," Business Strategy and the Environment, Wiley Blackwell, vol. 32(7), pages 5044-5067, November.
    12. Tavana, Madjid & Mina, Hassan & Santos-Arteaga, Francisco J., 2023. "A general Best-Worst method considering interdependency with application to innovation and technology assessment at NASA," Journal of Business Research, Elsevier, vol. 154(C).
    13. Jianzhong Xu & Jiaqi Zhai, 2020. "Research on the Evaluation of Green Innovation Capability of Manufacturing Enterprises in Innovation Network," Sustainability, MDPI, vol. 12(3), pages 1-20, January.
    14. Paolo Gaiardelli & Giuditta Pezzotta & Alice Rondini & David Romero & Farnaz Jarrahi & Marco Bertoni & Stefan Wiesner & Thorsten Wuest & Tobias Larsson & Mohamed Zaki & Philipp Jussen & Xavier Boucher, 2021. "Product-service systems evolution in the era of Industry 4.0," Service Business, Springer;Pan-Pacific Business Association, vol. 15(1), pages 177-207, March.
    15. Chi, Shu-Yi & Chien, Li-Hsien, 2023. "Why defuzzification matters: An empirical study of fresh fruit supply chain management," European Journal of Operational Research, Elsevier, vol. 311(2), pages 648-659.
    16. Ying-Chyi Chou & Chia-Han Yang & Ching-Hua Lu & Van Thac Dang & Pei-An Yang, 2017. "Building Criteria for Evaluating Green Project Management: An Integrated Approach of DEMATEL and ANP," Sustainability, MDPI, vol. 9(5), pages 1-17, May.
    17. Premendra Kumar Singh & Asokan Vasudevan & Elangbam Nixon Singh & Bidhu Kanti Das & Raju Ganesh Sunder & Nilesh R. Mate & Rajinder Kumar & Niharika Singh & Bendangienla Aier, 2024. "Impact of Corporate Social Responsibility (CSR) on Customer Loyalty in Indian Telecom Industry: The Moderating Role of Consumer Demographics," Sustainability, MDPI, vol. 16(16), pages 1-20, August.
    18. Ji-Qing Qu & Qi-Lin Xu & Ke-Xue Sun, 2022. "Optimization of Indoor Luminaire Layout for General Lighting Scheme Using Improved Particle Swarm Optimization," Energies, MDPI, vol. 15(4), pages 1-18, February.
    19. Rui Guo & Zhenyong Wu, 2023. "Social sustainable supply chain performance assessment using hybrid fuzzy-AHP–DEMATEL–VIKOR: a case study in manufacturing enterprises," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(11), pages 12273-12301, November.
    20. Kannan Govindan & Arash Khalili Nasr & Farzane Karimi & Hassan Mina, 2022. "Circular economy adoption barriers: An extended fuzzy best–worst method using fuzzy DEMATEL and Supermatrix structure," Business Strategy and the Environment, Wiley Blackwell, vol. 31(4), pages 1566-1586, May.

    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:wut:journl:v:33:y:2023:i:2:p:1-22:id:1. 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: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.html .

    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.