In this paper, we investigate the multiple attribute decision making problems for evaluating the visual design quality with 2-tuple linguistic information. Motivated by the ideal of generalized weighted Bonferroni mean and generalized weighted geometric Bonferroni mean, we develop the 2-tuple linguistic generalized Bonferroni mean (2TLGBM) operator for aggregating the 2-tuple linguistic information. For the situations where the input arguments have different importance, we then define the 2-tuple linguistic generalized weighted Bonferroni mean (2TLGWBM) operator, based on which we develop the procedure for multiple attribute decision making under the 2-tuple linguistic environments. At last, a numerical example for evaluating the visual design quality is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to calculate.
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