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An Approach To Group Decision Making Based On Incomplete Linguistic Preference Relations

Author

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  • ZESHUI XU

    (College of Economics and Management, Southeast University, Nanjing, Jiangsu 210096, China)

Abstract

In this paper, we introduce some operational laws of linguistic variables and define some linguistic preference relations such as incomplete linguistic preference relation and improved linguistic preference relation, etc. We then utilize the extended arithmetic averaging (EAA) operator and the extended weighted arithmetic averaging (EWAA) operator to develop an approach to group decision making based on incomplete linguistic preference relations. Finally, we give an illustrative example to verify the developed approach.

Suggested Citation

  • Zeshui Xu, 2005. "An Approach To Group Decision Making Based On Incomplete Linguistic Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 153-160.
    • Handle: RePEc:wsi:ijitdm:v:04:y:2005:i:01:n:s0219622005001349
    DOI: 10.1142/S0219622005001349
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    Citations

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    Cited by:

    1. Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
    2. Lan, Jibin & Chen, Yuwen & Ning, Mengyao & Wang, Zhongxing, 2015. "A new linguistic aggregation operator and its application to multiple attribute decision making," Operations Research Perspectives, Elsevier, vol. 2(C), pages 156-164.
    3. Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.
    4. Tapia García, Juan Miguel & Del Moral Ávila, María José & Tapia García, Cristóbal & Martínez, María de los Ángeles & Amor Pulido, Raúl, 2012. "Un problema de consenso para problemas de toma de decisiones multicriterio en grupo mediante relaciones de preferencia intervalares difusas lingüísticas || A Consensus Model for Group Multicriteria De," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 14(1), pages 36-53, December.
    5. Fu-Ling Cai & Xiuwu Liao & Kan-Liang Wang, 2012. "An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities," Annals of Operations Research, Springer, vol. 197(1), pages 87-108, August.
    6. Jinpei Liu & Zijie Qiang & Peng Wu & Pengcheng Du, 2023. "Multiple stage optimization driven group decision making method with interval linguistic fuzzy preference relations based on ordinal consistency and DEA cross-efficiency," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 309-336, June.

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