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A new linguistic aggregation operator and its application to multiple attribute decision making

Author

Listed:
  • Lan, Jibin
  • Chen, Yuwen
  • Ning, Mengyao
  • Wang, Zhongxing

Abstract

In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which satisfies strict pareto-dominance and is restricted by a weighting vector. A practical multiple attribute decision making methodology for an uncertain linguistic environment is proposed based on the proposed operator. An example is given to illustrate the rationality and validity of the new approach to decision making application.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:oprepe:v:2:y:2015:i:c:p:156-164
    DOI: 10.1016/j.orp.2015.09.001
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    References listed on IDEAS

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    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. 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.
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    5. Zeshui Xu, 2006. "A Practical Procedure for Group Decision Making under Incomplete Multiplicative Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 15(6), pages 581-591, November.
    6. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    7. Schubert, Johan & Moradi, Farshad & Asadi, Hirad & Luotsinen, Linus & Sjöberg, Eric & Hörling, Pontus & Linderhed, Anna & Oskarsson, Daniel, 2015. "Simulation-based decision support for evaluating operational plans," Operations Research Perspectives, Elsevier, vol. 2(C), pages 36-56.
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    Cited by:

    1. Chao Fu & Weiyong Liu & Wenjun Chang, 2020. "Data-driven multiple criteria decision making for diagnosis of thyroid cancer," Annals of Operations Research, Springer, vol. 293(2), pages 833-862, October.

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