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An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator

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  • Bingsheng Liu
  • Meiqing Fu
  • Shuibo Zhang
  • Bin Xue
  • Qi Zhou
  • Shiruo Zhang

Abstract

The Choquet integral (IL) operator is an effective approach for handling interdependence among decision attributes in complex decision-making problems. However, the fuzzy measures of attributes and attribute sets required by IL are difficult to achieve directly, which limits the application of IL. This paper proposes a new method for determining fuzzy measures of attributes by extending Marichal's concept of entropy for fuzzy measure. To well represent the assessment information, interval-valued 2-tuple linguistic context is utilised to represent information. Then, we propose a Choquet integral operator in an interval-valued 2-tuple linguistic environment, which can effectively handle the correlation between attributes. In addition, we apply these methods to solve multi-attribute group decision-making problems. The feasibility and validity of the proposed operator is demonstrated by comparisons with other models in illustrative example part.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:407-424
    DOI: 10.1080/00207721.2017.1407007
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    1. Runtong Zhang & Yuping Xing & Jun Wang & Xiaopu Shang & Xiaomin Zhu, 2018. "A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China," IJERPH, MDPI, vol. 15(8), pages 1-29, August.

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