Abstract:Pythagorean fuzzy sets expand the range of application based on intuitionistic fuzzy sets, triangular fuzzy number reserves more uncertain information in the decision making process. Firstly, a triangular Pythagorean fuzzy set and Euclidean distance are defined. Then, triangular Pythagorean fuzzy weighted averaging(TPFWA), generalized triangular Pythagorean fuzzy weighted averaging(GTPFWA), triangular Pythagorean fuzzy weighted geometric(TPFWG) and generalized triangular Pythagorean fuzzy weighted geometric(GTPFWG) operators are defined, and correlative idempotency, boundedness and monotonity are proved. Finally the reasonableness and validity are verified by a multicriteria decision making about medical representative selection and sensitivity analysis.