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

Author

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    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.
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