New aggregation operators based on the Choquet integral and 2-tuple linguistic information

Authors:
Wei Yang;Zhiping Chen
Affiliations:
Department of Scientific Computing and Applied Softwares, Faculty of Science, Xi'an Jiaotong University, 710049 Xi'an, Shaanxi, PR China and Department of Mathematics, School of Science, Xi'an Uni ...;Department of Scientific Computing and Applied Softwares, Faculty of Science, Xi'an Jiaotong University, 710049 Xi'an, Shaanxi, PR China
Venue:
Expert Systems with Applications: An International Journal
Year:
2012

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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.