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A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems

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  • Juan-juan Peng
  • Jian-qiang Wang
  • Wu-E Yang

Abstract

In this paper, multi-criteria decision-making (MCDM) problems based on the qualitative flexible multiple criteria method (QUALIFLEX), in which the criteria values are expressed by multi-valued neutrosophic information, are investigated. First, multi-valued neutrosophic sets (MVNSs), which allow the truth-membership function, indeterminacy-membership function and falsity-membership function to have a set of crisp values between zero and one, are introduced. Then the likelihood of multi-valued neutrosophic number (MVNN) preference relations is defined and the corresponding properties are also discussed. Finally, an extended QUALIFLEX approach based on likelihood is explored to solve MCDM problems where the assessments of alternatives are in the form of MVNNs; furthermore an example is provided to illustrate the application of the proposed method, together with a comparison analysis.

Suggested Citation

  • Juan-juan Peng & Jian-qiang Wang & Wu-E Yang, 2017. "A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 425-435, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:425-435
    DOI: 10.1080/00207721.2016.1218975
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    References listed on IDEAS

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    1. Zhang-peng Tian & Jing Wang & Jian-qiang Wang & Hong-yu Zhang, 2017. "Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development," Group Decision and Negotiation, Springer, vol. 26(3), pages 597-627, May.
    2. Juan-Juan Peng & Jian-Qiang Wang & Xiao-Hui Wu, 2016. "Novel Multi-criteria Decision-making Approaches Based on Hesitant Fuzzy Sets and Prospect Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 621-643, May.
    3. J. H. P. Paelinck, 1976. "Qualitative Multiple Criteria Analysis, Environmental Protection And Multiregional Development," Papers in Regional Science, Wiley Blackwell, vol. 36(1), pages 59-76, January.
    4. Zhang-peng Tian & Hong-yu Zhang & Jing Wang & Jian-qiang Wang & Xiao-hong Chen, 2016. "Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3598-3608, November.
    5. Paelinck, J. H. P., 1978. "Qualiflex: A flexible multiple-criteria method," Economics Letters, Elsevier, vol. 1(3), pages 193-197.
    6. J Paelinck, 1977. "Qualitative Multicriteria Analysis: An Application to Airport Location," Environment and Planning A, , vol. 9(8), pages 883-895, August.
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    Cited by:

    1. Ignacio J. Navarro & José V. Martí & Víctor Yepes, 2021. "Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices," Mathematics, MDPI, vol. 9(5), pages 1-19, February.
    2. Ke-Qin Wang & Hu-Chen Liu & Liping Liu & Jia Huang, 2017. "Green Supplier Evaluation and Selection Using Cloud Model Theory and the QUALIFLEX Method," Sustainability, MDPI, vol. 9(5), pages 1-17, April.
    3. Xiaoli Tian & Zeshui Xu & Xinxin Wang & Jing Gu & Fawaz E. Alsaadi, 2019. "Decision Models to Find a Promising Start-Up Firm with Qualiflex under Probabilistic Linguistic Circumstance," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1379-1402, July.
    4. Weizhang Liang & Bing Dai & Guoyan Zhao & Hao Wu, 2019. "Assessing the Performance of Green Mines via a Hesitant Fuzzy ORESTE–QUALIFLEX Method," Mathematics, MDPI, vol. 7(9), pages 1-19, August.

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