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Firstly, a concept of the generalized linguistic term set (GLTS) with triangular fuzzy semantic information is introduced. In order to capture and measure the DM\u2019s risk preference, a triangular fuzzy membership function with risk preference parameters is constructed. Then, based on the expected semantic information of linguistic terms given by the DM and the distance between two triangular fuzzy numbers, a nonlinear programming model is established to obtain an optimal GLTS. An approach to linguistic MADM considering the DM\u2019s risk preference is developed and its detailed steps are given. 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