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A Multiple Attribute Decision Making Method Based on Uncertain Linguistic Heronian Mean

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  • Xiaodi Liu
  • Jianjun Zhu
  • Guodong Liu
  • Jingjing Hao

Abstract

The Heronian mean is a useful aggregation operator which can capture the interrelationship of the input arguments. In this paper, we develop some Heronian means based on uncertain linguistic variables, such as the generalized uncertain linguistic Heronian mean (GULHM) and uncertain linguistic geometric Heronian mean (ULGHM), and some of their desirable properties are also investigated. Considering the different importance of the input arguments, we define the generalized uncertain linguistic weighted Heronian mean (GULWHM) and uncertain linguistic weighted geometric Heronian mean (ULWGHM). Then, a method of multiple attribute decision making under uncertain linguistic environment is presented based on the GULWHM or the ULWGHM. In the end, an example is given to demonstrate the effectiveness and feasibility of the proposed method.

Suggested Citation

  • Xiaodi Liu & Jianjun Zhu & Guodong Liu & Jingjing Hao, 2013. "A Multiple Attribute Decision Making Method Based on Uncertain Linguistic Heronian Mean," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:597671
    DOI: 10.1155/2013/597671
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    Cited by:

    1. Ximei Hu & Shuxia Yang & Ya-Ru Zhu, 2021. "Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean," Mathematics, MDPI, vol. 9(12), pages 1-29, June.
    2. Zengxian Li & Guiwu Wei & Hui Gao, 2018. "Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(11), pages 1-27, October.

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