With respect to multiple attribute decision making problem with triangular fuzzy linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the preference values take the form of triangular fuzzy linguistic variables, a operator for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic weighted harmonic mean (FLWHM) operator is introduced. Based on the FLWHM operators, a practical method is developed for group decision making with triangular fuzzy linguistic variables. Finally, an illustrative example about software selection is given to verify the developed approach.