IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p879-d1062874.html
   My bibliography  Save this article

Multiperson Decision-Making Using Consistent Interval-Valued Fuzzy Information with Application in Supplier Selection

Author

Listed:
  • Xiaodong Yu

    (School of Computer Science, Chengdu University, Chengdu 610059, China)

  • Atiq ur Rehman

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 53710, Pakistan)

  • Samina Ashraf

    (Department of Mathematics, University of Education Bank Road Campus, Lahore 54000, Pakistan)

  • Muhammad Hussain

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 53710, Pakistan)

  • Shahzad Faizi

    (Department of Mathematics, Virtual University, Lahore 54000, Pakistan)

Abstract

This study describes a consistency-based approach for multiperson decision-making (MPDM) in which decision-makers’ suggestions are expressed as incomplete interval-valued fuzzy preference relations. The presented approach utilizes Lukasiewicz’s t-norm in conjunction with additive reciprocity to obtain comprehensive interval valued fuzzy preference relations from each expert, and the transitive closure formula also produces L -consistency. We would evaluate the consistency weights of the experts using consistency analysis. Experts are allocated final priority weights by combining the consistency weights and preset weights. A collective consistency matrix is then constructed from the weighted sum of preference matrices. After computing the possibility degrees, the normalization procedure is utilized to generate complimentary matrices, and the final ranking values of alternatives are derived as well. Finally, a numerical example demonstrates the efficacy of the suggested approach following a comparison analysis.

Suggested Citation

  • Xiaodong Yu & Atiq ur Rehman & Samina Ashraf & Muhammad Hussain & Shahzad Faizi, 2023. "Multiperson Decision-Making Using Consistent Interval-Valued Fuzzy Information with Application in Supplier Selection," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:879-:d:1062874
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/879/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/4/879/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wang, Zhou-Jing & Li, Kevin W., 2015. "A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices," European Journal of Operational Research, Elsevier, vol. 242(3), pages 890-900.
    2. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    3. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
    4. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
    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. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    2. Qi Wei & Rui Wang & Chuan-Yang Ruan, 2024. "Similarity Measures of Probabilistic Interval Preference Ordering Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 12(20), pages 1-26, October.
    3. Wang, Ying-Ming & Parkan, Celik, 2008. "Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1476-1486, June.
    4. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    5. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
    6. Zeshui Xu & Xiaoqiang Cai, 2013. "On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings," Group Decision and Negotiation, Springer, vol. 22(6), pages 997-1019, November.
    7. Wu, Desheng Dash, 2009. "Performance evaluation: An integrated method using data envelopment analysis and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 194(1), pages 227-235, April.
    8. Tien-Chin Wang & Hsiu-Chin Hsieh & Xuan-Huynh Nguyen & Chin-Ying Huang & Jen-Yao Lee, 2022. "Evaluating the Influence of Criteria Revitalization Strategy Implementation for the Hospitality Industry in the Post-Pandemic Era," World, MDPI, vol. 3(2), pages 1-18, April.
    9. Tien-Chin Wang & Ying-Ling Lin, 2009. "Using a Multi-Criteria Group Decision Making Approach to Select Merged Strategies for Commercial Banks," Group Decision and Negotiation, Springer, vol. 18(6), pages 519-536, November.
    10. Liu, Fang & Zhang, Wei-Guo & Zhang, Li-Hua, 2014. "Consistency analysis of triangular fuzzy reciprocal preference relations," European Journal of Operational Research, Elsevier, vol. 235(3), pages 718-726.
    11. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
    12. Zhen Zhang & Chonghui Guo, 2017. "Deriving priority weights from intuitionistic multiplicative preference relations under group decision-making settings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1582-1599, December.
    13. Fan, Zhi-Ping & Ma, Jian & Jiang, Yan-Ping & Sun, Yong-Hong & Ma, Louis, 2006. "A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 174(1), pages 311-321, October.
    14. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.
    15. Fang Liu & Jia-Wei Zhang & Qin Yu & Ya-Nan Peng & Witold Pedrycz, 2020. "On weak consistency of interval additive reciprocal matrices," Fuzzy Optimization and Decision Making, Springer, vol. 19(2), pages 153-175, June.
    16. Huayou Chen & Ligang Zhou, 2012. "A Relative Entropy Approach to Group Decision Making with Interval Reciprocal Relations Based on COWA Operator," Group Decision and Negotiation, Springer, vol. 21(4), pages 585-599, July.
    17. Lidan Pei & Feifei Jin & Zhiwei Ni & Huayou Chen & Zhifu Tao, 2017. "An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2779-2793, October.
    18. Wang, Tien-Chin & Chang, Tsung-Han, 2007. "Application of consistent fuzzy preference relations in predicting the success of knowledge management implementation," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1313-1329, November.
    19. Meimei Xia & Jian Chen, 2015. "Studies on Interval Multiplicative Preference Relations and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(1), pages 115-144, January.
    20. Meng, Fanyong & Tan, Chunqiao & Chen, Xiaohong, 2017. "Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study," Omega, Elsevier, vol. 68(C), pages 17-38.

    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:11:y:2023:i:4:p:879-:d:1062874. 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.