An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator |
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| Authors: | Bingsheng Liu Meiqing Fu Shuibo Zhang Bin Xue Shiruo Zhang |
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| Affiliation: | 1. Department of Construction Management, Tianjin University, Tianjin, China;2. Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong, China;3. Department of Petroleum Engineering, Missouri University of Science and Technology, Rolla, MO, United States |
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| 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. |
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| Keywords: | Multi-attribute group decision-making (MAGDM) interval-valued 2-tuple linguistic Choquet integral operator fuzzy measure |
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