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

Bingsheng Liu, Meiqing Fu, Shuibo Zhang, Bin Xue, Qi Zhou and Shiruo Zhang

International Journal of Systems Science, 2018, vol. 49, issue 2, 407-424

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.

Date: 2018
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DOI: 10.1080/00207721.2017.1407007

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