A method for interval-valued intuitionistic fuzzy multiple attribute decision making based on fuzzy entropy

With respect to multi-attribute decision making problem, in which attribute values are expressed in interval-valued intuitionistic fuzzy numbers, a decision making method based on fuzzy entropy and TOPSIS is presented. In this paper, the score value function and precision function of interval-valued intuitionistic fuzzy numbers are defined, and the attribute weight determination method based on improved fuzzy entropy is given. Then, by using the ranking method of interval-valued intuitionistic fuzzy numbers, the positive and negative ideal solutions of interval-valued intuitionistic fuzzy multiple attribute decision making problems are obtained. On this basis, an interval-valued intuitionistic fuzzy multi-attribute decision making method based on TOPSIS is proposed. Finally, the method is applied to the evaluation of local government public finance expenditure performance and its effectiveness is illustrated by a numerical example.