A Sorting Method of Interval Intuitionistic Fuzzy Numbers of Based on Possibility Degree and Its Application in Decision Making

The sequence of interval intuitionistic fuzzy number is the premise of the multiple attribute decision making problems under interval intuitionistic fuzzy information environment. This paper defines the score function and accuracy function which are expressed by interval numbers according to the degrees of membership and nonmembership of interval intuitionistic fuzzy number which are interval numbers algebraic sum and difference. And then based on the score function and accuracy function defined in this paper, the possibility degree of the size of interval intuitionistic fuzzy number is given. Then based on possibility degree, a new sorting method of interval intuitionistic fuzzy numbers is put forward. At last, based on the new sorting, this paper gives a new multiple attribute decision making method under the interval intuitionistic fuzzy information environment, and numerical example is used to illustrate the feasibility and effectiveness of this method.