New aggregation operators based on the Choquet integral and 2-tuple linguistic information |
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Authors: | Wei Yang Zhiping Chen |
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Affiliation: | a Department of Scientific Computing and Applied Softwares, Faculty of Science, Xi’an Jiaotong University, 710049 Xi’an, Shaanxi, PR China b Department of Mathematics, School of Science, Xi’an University of Architecture and Technology, 710055 Xi’an, Shaanxi, PR China |
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Abstract: | Considered in this paper is the group decision making problem with inter-dependent or interactive attributes, where evaluation values of decision makers are in linguistic arguments. By using the Choquet integral, some new aggregation operators are introduced, including the 2-tuple correlated averaging operator, the 2-tuple correlated geometric operator and the generalized 2-tuple correlated averaging operator. The proposed operators can better reflect the correlations among the elements. After investigating properties of these operators, a new multiple attribute decision making method based on the new operators is proposed. Finally, a numerical example is provided to illustrate the feasibility and efficiency of the proposed method. |
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Keywords: | Choquet integral Multiple attribute decision making 2-Tuple Group decision making |
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