The aim of this paper is to investigate the multi-attribute group decision making (MAGDM) problems with respect to psychological behavior of regret aversion of decision makers (DMs), in which the attribute values are expressed in multi-granular linguistic terms and numerical values. This study proposes a general model based on two-tuple linguistics to deal with multi-granular linguistic information in order to manage information provided by different experts. A practical transformation approach is developed, which makes numerical values expressed in two-tuple linguistics and further converted into values in [0, 1] interval. Compared with the traditional MAGDM model, a tri-level decision making model that includes a top DM, multiple middle level DMs and multiple experts is considered. A novel mathematical programming model is constructed considering all middle level DMs’ preference information and regret aversion. Finally, an illustrative example is given to verify the proposed method. The results and comparative analysis demonstrate its effectiveness and practicability.
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