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The hesitant fuzzy linguistic term set (HFLTS) is an effective tool for decision makers to elicit their linguistic assessments. In the literature, different aggregation operators have been proposed for HFLTSs. However, there are few studies that focus on the aggregation of multi-granular HFLTSs. In this paper, it is proposed an optimization model to aggregate multi-granular HFLTSs, which minimizes the deviation between the weighted collective assessment and the aggregation result. The aggregation result of the proposed approach is an HFLTS, which can provide interpretable results for decision makers. A numerical example is utilized to demonstrate the proposed approach.