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An approach to decision-making with triangular fuzzy reciprocal preference relations and its application

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  • Fanyong Meng

Abstract

Triangular fuzzy reciprocal preference relations (TFRPRs) are powerful tools to denoting decision-makers’ fuzzy judgments, which permit the decision-makers to apply triangular fuzzy ratio rather than real numbers to express their judgements. Consistency analysis is one of the most crucial issues in preference relations that can guarantee the reasonable ranking order. However, all previous consistency concepts cannot well address this type of preference relations. Based on the operational laws on triangular fuzzy numbers, this paper introduces an additive consistency concept for TFRPRs by using quasi TFRPRs, which can be seen as a natural extension of the crisp case. Using this consistency concept, models to judging the additive consistency of TFRPRs and to estimating missing values in complete TFRPRs are constructed. Then, an algorithm to decision-making with TFRPRs is developed. Finally, two numerical examples are offered to illustrate the application of the proposed procedure, and comparison analysis is performed.

Suggested Citation

  • Fanyong Meng, 2018. "An approach to decision-making with triangular fuzzy reciprocal preference relations and its application," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(3), pages 567-581, February.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:567-581
    DOI: 10.1080/00207721.2017.1411988
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    Cited by:

    1. Hongyue Diao & Ansheng Deng & Hui Cui & Xin Liu & Li Zou, 2022. "An approach for solving fuzzy multi-criteria decision problem under linguistic information," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 45-69, March.
    2. Jie Tang & Fanyong Meng & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2020. "Group Decision Making with Interval-Valued Intuitionistic Multiplicative Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 29(1), pages 169-206, February.
    3. Zhibin Wu & Rong Yuan & Jiancheng Tu, 2021. "Group Decision Making with Transitive Preferences Under Ordinal and Cardinal Consistencies: An Optimization Approach," Group Decision and Negotiation, Springer, vol. 30(1), pages 221-250, February.
    4. Jie Tang & Fanyong Meng & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2019. "A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 493-527, December.

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