In order to describe uncertain information more completely, this paper combines triangular fuzzy numbers with Pythagorean hesitant fuzzy sets, and proposes the concept of Pythagorean Hesitant Triangular Fuzzy Sets (PHTFS).In view of the association between data attributes in the process of information integration, this paper extends the Heronian mean operator and the Muirhead mean operator to the PHTFS, and proposes the Pythagorean Hesitant Triangular Fuzzy Heronian Mean (PHTFHM) operator and the Pythagorean Hesitant Triangular Fuzzy Muirhead Mean (PHTFMM) operator.In view of different levels of importance of input variables of different attributes, their weighted forms are presented.Finally, as for the multi-attribute decision-making problem in the Pythagorean hesitant triangular fuzzy environment, a multi-attribute decision-making method based on the Pythagorean Hesitant Triangular Fuzzy Weighted Muirhead Mean (PHTFWMM) operator is proposed, and the effectiveness of this method is illustrated by an example.