Abstract: Firstly, the definition of Pythagorean fuzzy set is introduced. Then the axiomatizatic definition and calculation formula of Pythagorean fuzzy entropy are proposed. The relationship among the three variables of membership degree, non-subscription degree and hesitation degree is considered completely. Afterwards, the axiomatizatic definition of Pythagorean fuzzy entropy is modified, and the improved Pythagorean fuzzy entropy definition and calculation formula are proposed. Finally, the advantages of the improved Pythagoras fuzzy entropy are illustrated, and the validity and scientific nature of the Pythagoras fuzzy entropy formula are verified by an example.