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Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making

Author

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  • Rui Lin
  • Guiwu Wei
  • Hongjun Wang
  • Xiaofei Zhao

Abstract

We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method.

Suggested Citation

  • Rui Lin & Guiwu Wei & Hongjun Wang & Xiaofei Zhao, 2014. "Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 15(5), pages 795-809, November.
    • Handle: RePEc:taf:jbemgt:v:15:y:2014:i:5:p:795-809
    DOI: 10.3846/16111699.2013.773940
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    References listed on IDEAS

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    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
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    Cited by:

    1. Xiaolu Zhang & Zeshui Xu & Manfeng Liu, 2016. "Hesitant Trapezoidal Fuzzy QUALIFLEX Method and Its Application in the Evaluation of Green Supply Chain Initiatives," Sustainability, MDPI, vol. 8(9), pages 1-17, September.
    2. Qinghua Mao & Mengxin Guo & Jian Lv & Jinjin Chen & Pengzhen Xie & Meng Li, 2022. "A Risk Assessment Framework of Hybrid Offshore Wind–Solar PV Power Plants under a Probabilistic Linguistic Environment," Sustainability, MDPI, vol. 14(7), pages 1-29, April.

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