For some complicated decision problems, it is difficult to express clearly experts thought by only using deterministic linguistic. Therefore according to comparative linguistic expressions, the multi-target decision making method of composite linguistic expressions is presented based on the trapezoidal fuzzy membership function. Firstly, the comparative linguistic expressions are transformed into hesitant fuzzy linguistic term sets(HFLTS) with the use of context-free grammars. Then the fuzzy envelope of HFLTS represented by trapezoidal membership function is calculated by ordered weighted averaging(OWA) operator in order to simplify effectively computing processes of words. Finally, An example of supplier selection is given to illustrate the proposed decision method.