In this paper, by combining hesitant fuzzy set with bipolar-valued fuzzy set, the concept of hesitant bipolar value fuzzy set is introduced, and the hesitant bipolar fuzzy group decision making method based on TOPSIS is proposed. Our study firstly integrates fuzziness, hesitation and incompatible bipolarity in multiple criteria decision making method. An illustrative case of chemical project evaluation also demonstrates the feasibility, validity, and necessity of our proposed method.
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