IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i6p945-d368849.html
   My bibliography  Save this article

A Fuzzy Approach for Ranking Discrete Multi-Attribute Alternatives under Uncertainty

Author

Listed:
  • Lihui Liu

    (Business and Law School, Foshan University, Foshan 528000, Guangdong, China)

  • Hepu Deng

    (Business and Law School, Foshan University, Foshan 528000, Guangdong, China
    School of Accounting, Information Systems and Supply Chain, RMIT University, Melbourne, VIC 3149, Australia)

Abstract

This paper presents a fuzzy approach for ranking discrete alternatives in multi-attribute decision-making under uncertainty. Linguistic variables approximated by fuzzy numbers were applied for facilitating the making of pairwise comparison by the decision maker in determining the alternative performance and attribute importance using fuzzy extent analysis. The resultant fuzzy assessments were aggregated using the simple additive utility method for calculating the fuzzy utility of each alternative across all the attributes. An ideal solution-based procedure was developed for comparing and ranking these fuzzy utilities, leading to the determination of the overall ranking of all the discrete multi-attribute alternatives. An example is provided that shows the proposed approach is effective and efficient in solving the multi-attribute decision making problem under uncertainty, due to the simplicity and comprehensibility of the underlying concept and the efficiency and effectiveness of the computation involved.

Suggested Citation

  • Lihui Liu & Hepu Deng, 2020. "A Fuzzy Approach for Ranking Discrete Multi-Attribute Alternatives under Uncertainty," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:945-:d:368849
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/6/945/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/6/945/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. He-pu Deng, 2009. "Developments in fuzzy multicriteria analysis," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 103-109, March.
    3. Hepu Deng & Sophia Xiaoxia Duan & Donghui Jie & Jiangjing Fu, 2019. "An Efficiency-Based Approach for Selecting Electronic Markets in Sustainable Electronic Business: A SME’s Perspective," Sustainability, MDPI, vol. 11(7), pages 1-13, March.
    4. Huiping Chen & Guiqiong Xu & Pingle Yang, 2019. "Multi-Attribute Decision-Making Approach Based on Dual Hesitant Fuzzy Information Measures and Their Applications," Mathematics, MDPI, vol. 7(9), pages 1-18, August.
    5. Anquan Zou & Sophia Xiaoxia Duan & Hepu Deng, 2019. "Multicriteria Decision Making for Evaluating and Selecting Information Systems Projects: A Sustainability Perspective," Sustainability, MDPI, vol. 11(2), pages 1-13, January.
    6. Yeh, Chung-Hsing & Deng, Hepu & Chang, Yu-Hern, 2000. "Fuzzy multicriteria analysis for performance evaluation of bus companies," European Journal of Operational Research, Elsevier, vol. 126(3), pages 459-473, November.
    7. Chia-Nan Wang & Ching-Yu Yang & Hung-Chun Cheng, 2019. "Fuzzy Multi-Criteria Decision-Making Model for Supplier Evaluation and Selection in a Wind Power Plant Project," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    8. Sarbast Moslem & Omid Ghorbanzadeh & Thomas Blaschke & Szabolcs Duleba, 2019. "Analysing Stakeholder Consensus for a Sustainable Transport Development Decision by the Fuzzy AHP and Interval AHP," Sustainability, MDPI, vol. 11(12), pages 1-22, June.
    9. Chang, Da-Yong, 1996. "Applications of the extent analysis method on fuzzy AHP," European Journal of Operational Research, Elsevier, vol. 95(3), pages 649-655, December.
    10. Hepu Deng & Feng Luo & Santoso Wibowo, 2018. "Multi-Criteria Group Decision Making for Green Supply Chain Management under Uncertainty," Sustainability, MDPI, vol. 10(9), pages 1-13, September.
    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. Olcer, A. I. & Odabasi, A. Y., 2005. "A new fuzzy multiple attributive group decision making methodology and its application to propulsion/manoeuvring system selection problem," European Journal of Operational Research, Elsevier, vol. 166(1), pages 93-114, October.
    2. Swati Goyal & Shivi Agarwal & Narinderjit Singh Sawaran Singh & Trilok Mathur & Nirbhay Mathur, 2022. "Analysis of Hybrid MCDM Methods for the Performance Assessment and Ranking Public Transport Sector: A Case Study," Sustainability, MDPI, vol. 14(22), pages 1-21, November.
    3. Sajid Ali & Sang-Moon Lee & Choon-Man Jang, 2017. "Determination of the Most Optimal On-Shore Wind Farm Site Location Using a GIS-MCDM Methodology: Evaluating the Case of South Korea," Energies, MDPI, vol. 10(12), pages 1-22, December.
    4. Aleksandar Aleksić & Danijela Tadić, 2023. "Industrial and Management Applications of Type-2 Multi-Attribute Decision-Making Techniques Extended with Type-2 Fuzzy Sets from 2013 to 2022," Mathematics, MDPI, vol. 11(10), pages 1-24, May.
    5. Mohamed Hanine & Omar Boutkhoum & Abderrafie El Maknissi & Abdessadek Tikniouine & Tarik Agouti, 2016. "Decision making under uncertainty using PEES–fuzzy AHP–fuzzy TOPSIS methodology for landfill location selection," Environment Systems and Decisions, Springer, vol. 36(4), pages 351-367, December.
    6. Hepu Deng & Sophia Xiaoxia Duan & Donghui Jie & Jiangjing Fu, 2019. "An Efficiency-Based Approach for Selecting Electronic Markets in Sustainable Electronic Business: A SME’s Perspective," Sustainability, MDPI, vol. 11(7), pages 1-13, March.
    7. Chang, Yu-Hern & Yeh, Chung-Hsing, 2004. "A new airline safety index," Transportation Research Part B: Methodological, Elsevier, vol. 38(4), pages 369-383, May.
    8. Zhang, Ying & Zhu, Jing & Xu, Nan & Duan, Sophia Xiaoxia & Huang, Xiaodi, 2021. "Optimal selection of expatriates for cross-border assignment to enhance manufacturing efficiency," International Journal of Production Economics, Elsevier, vol. 232(C).
    9. Aliasghar Aliakbarzadeh & Akbar Alem Tabriz, 2014. "Performance Evaluation and Ranking the Branches of Bank using FAHP and TOPSIS Case study: Tose Asr Shomal Interest-free Loan Fund," International Journal of Academic Research in Business and Social Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Business and Social Sciences, vol. 4(12), pages 199-217, December.
    10. Khalid Aljohani & Russell G. Thompson, 2018. "A Stakeholder-Based Evaluation of the Most Suitable and Sustainable Delivery Fleet for Freight Consolidation Policies in the Inner-City Area," Sustainability, MDPI, vol. 11(1), pages 1-27, December.
    11. Yu-Jie Wang, 2023. "Extending Quality Function Deployment and Analytic Hierarchy Process under Interval-Valued Fuzzy Environment for Evaluating Port Sustainability," Sustainability, MDPI, vol. 15(7), pages 1-19, March.
    12. Kiracı, Kasım & Akan, Ercan, 2020. "Aircraft selection by applying AHP and TOPSIS in interval type-2 fuzzy sets," Journal of Air Transport Management, Elsevier, vol. 89(C).
    13. Shubham Gupta & Raghav Khanna & Pranay Kohli & Sarthak Agnihotri & Umang Soni & M. Asjad, 2023. "Risk evaluation of electric vehicle charging infrastructure using Fuzzy AHP – a case study in India," Operations Management Research, Springer, vol. 16(1), pages 245-258, March.
    14. Keon Chul Park & Dong-Hee Shin, 2017. "Security assessment framework for IoT service," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 64(1), pages 193-209, January.
    15. Somsuk, Nisakorn & Laosirihongthong, Tritos, 2014. "A fuzzy AHP to prioritize enabling factors for strategic management of university business incubators: Resource-based view," Technological Forecasting and Social Change, Elsevier, vol. 85(C), pages 198-210.
    16. Rezaei, Jafar & Ortt, Roland, 2013. "Multi-criteria supplier segmentation using a fuzzy preference relations based AHP," European Journal of Operational Research, Elsevier, vol. 225(1), pages 75-84.
    17. Engin ÇAKIR, 2017. "Application of Fuzzy Multi-Criteria Decision Making Methods on Six Sigma Projects Selection," Journal of Social and Administrative Sciences, KSP Journals, vol. 4(1), pages 132-138, March.
    18. Tolga, Ethem & Demircan, Murat Levent & Kahraman, Cengiz, 2005. "Operating system selection using fuzzy replacement analysis and analytic hierarchy process," International Journal of Production Economics, Elsevier, vol. 97(1), pages 89-117, July.
    19. Mandic, Ksenija & Delibasic, Boris & Knezevic, Snezana & Benkovic, Sladjana, 2014. "Analysis of the financial parameters of Serbian banks through the application of the fuzzy AHP and TOPSIS methods," Economic Modelling, Elsevier, vol. 43(C), pages 30-37.
    20. Zhü, Kèyù, 2014. "Fuzzy analytic hierarchy process: Fallacy of the popular methods," European Journal of Operational Research, Elsevier, vol. 236(1), pages 209-217.

    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:jmathe:v:8:y:2020:i:6:p:945-:d:368849. 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.