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A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information

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  • Zeshui Xu

    (Tsinghua University)

Abstract

In this paper, we propose a linguistic hybrid arithmetic averaging (LHAA) operator, which is based on linguistic weighted arithmetic averaging (LWAA) operator and extended ordered weighted averaging (EOWA) operator, and study some desirable properties of the LHAA operator. The LHAA operator can not only reflect the importance degrees of both the given argument and its ordered position, but also relieve the influence of unfair arguments on the decision results by weighting these arguments with small values. Based on the LWAA and LHAA operators, we develop a practical approach to multiple attribute group decision making under linguistic environment. The approach first aggregates the individual linguistic preference values into a collective linguistic preference value for each alternative by using the LWAA and LHAA operators (it is worth pointing out that the aggregation process does not produce any loss of linguistic information), and then orders the collective linguistic preference values to obtain the best alternative(s). Finally, an illustrative example is also given to verify the approach and to demonstrate its feasibility and practicality.

Suggested Citation

  • Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    • Handle: RePEc:spr:grdene:v:15:y:2006:i:6:d:10.1007_s10726-005-9008-4
    DOI: 10.1007/s10726-005-9008-4
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    References listed on IDEAS

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    Cited by:

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    5. Qian-Yun Tan & Cui-Ping Wei & Qi Liu & Xiang-Qian Feng, 2016. "The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-22, October.
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    12. Ji Chen & Shouzhen Zeng & Chonghui Zhang, 2018. "An OWA Distance-Based, Single-Valued Neutrosophic Linguistic TOPSIS Approach for Green Supplier Evaluation and Selection in Low-Carbon Supply Chains," IJERPH, MDPI, vol. 15(7), pages 1-15, July.
    13. Bingsheng Liu & Meiqing Fu & Shuibo Zhang & Bin Xue & Qi Zhou & Shiruo Zhang, 2018. "An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 407-424, January.
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