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Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making

Author

Listed:
  • Peide Liu

    (Shandong University of Finance and Economics)

  • Li He

    (Shandong University of Finance and Economics)

  • Xiaocun Yu

    (Shandong University of Finance and Economics)

Abstract

With respect to the multiple attribute decision making problems in which the attribute values take the form of the 2-dimension uncertain linguistic information, a new method based on the generalized hybrid operators is proposed. Firstly, the definition, properties, expectations and ranking method of 2-dimension uncertain linguistic information are introduced, and the operational laws the 2-dimension uncertain linguistic information are defined. Then some aggregation operators, including 2-dimension uncertain linguistic generalized weighted average operator, 2-dimension uncertain linguistic generalized ordered weighted average operator, and 2-dimension uncertain linguistic generalized hybrid weighted average operator, are developed, and some properties and special cases of them are also discussed. Finally, these operators are applied to multi-criteria decision making and an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.

Suggested Citation

  • Peide Liu & Li He & Xiaocun Yu, 2016. "Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 25(1), pages 103-126, January.
    • Handle: RePEc:spr:grdene:v:25:y:2016:i:1:d:10.1007_s10726-015-9434-x
    DOI: 10.1007/s10726-015-9434-x
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    References listed on IDEAS

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    1. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
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    Cited by:

    1. Yisheng Liu & Ye Li, 2020. "The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(1), pages 1-23, January.
    2. Sumin Yu & Zhijiao Du & Xuanhua Xu, 2021. "Hierarchical Punishment-Driven Consensus Model for Probabilistic Linguistic Large-Group Decision Making with Application to Global Supplier Selection," Group Decision and Negotiation, Springer, vol. 30(6), pages 1343-1372, December.
    3. Muhammad Gulistan & Mutaz Mohammad & Faruk Karaaslan & Seifedine Kadry & Salma Khan & Hafiz Abdul Wahab, 2019. "Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions," International Journal of Distributed Sensor Networks, , vol. 15(9), pages 15501477198, September.
    4. Peide Liu & Xi Liu, 2017. "Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators," Complexity, Hindawi, vol. 2017, pages 1-15, January.

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