As a generalization of fuzzy set, hesitant fuzzy set is a very useful technique to express people’s hesitancy in daily life. But there are weak points in traditional hesitant fuzzy set, which expressed the membership degrees of an element to a given set only by several crisp numbers. In this paper, we extend the traditional hesitant fuzzy set to Triangular Fuzzy Hesitant Fuzzy Set (TFHFS), in which the membership degree of an element to a given set is expressed by several possible triangular fuzzy numbers. Then a series of aggregation operators for TFHFEs are proposed. Furthermore, we apply them to multiple attribute decision making with triangular fuzzy hesitant fuzzy information.
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Dejian Yu (2013) studied this question.