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An approach for solving fuzzy multi-criteria decision problem under linguistic information

Author

Listed:
  • Hongyue Diao

    (Dalian Maritime University)

  • Ansheng Deng

    (Dalian Maritime University)

  • Hui Cui

    (Dalian Maritime University)

  • Xin Liu

    (Liaoning Normal University)

  • Li Zou

    (Shandong Jianzhu University)

Abstract

Linguistic information processing exists in multi-criteria decision making, and linguistic truth-valued lattice implication algebra (LTV-LIA) has definite advantages in handling comparable and incomparable linguistic values. To deal with the preference relations with linguistic evaluation information, we establish a novel approach for solving fuzzy multi-criteria decision problem under linguistic information based on LTV-LIA. In this paper, we propose linguistic lattice-valued preference relation (LLVPR). LLVPR positive and negative matrixes are introduced to evaluate the advantages and disadvantages of alternatives respectively. In order to get a reasonable result, we introduce a new algorithm to check and repair the consistency of a LLVPR. A linguistic lattice-valued 2-tuple representation model (LLV2-tuple) and some new aggregation operations are presented to get the comprehensive linguistic information without information loss. Considering different decision makers have different preferences, a multiple preferences implication operation of LLV2-tuple is introduced. Finally, we propose a novel linguistic analytic hierarchy process embedded in aggregation layer and implication layer, introducing algorithm and numerical examples. A comparative analysis is adopted to illustrate the rationality.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:fuzodm:v:21:y:2022:i:1:d:10.1007_s10700-021-09356-x
    DOI: 10.1007/s10700-021-09356-x
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    References listed on IDEAS

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    1. Fanyong Meng & Xiaohong Chen, 2018. "A robust additive consistency-based method for decision making with triangular fuzzy reciprocal preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 17(1), pages 49-73, March.
    2. 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.
    3. Wenqi Liu & Yucheng Dong & Francisco Chiclana & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2017. "Group decision-making based on heterogeneous preference relations with self-confidence," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 429-447, December.
    4. 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.
    5. Zeshui Xu & Wei Zhou, 2017. "Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 481-503, December.
    Full references (including those not matched with items on IDEAS)

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