A novel weighted average index method of interval valued intuitionistic fuzzy sets and its application to outsourced software project risk assessment

Abstract

A novel weighted average index model of interval valued intuitionistic fuzzy sets (IVIFS) is presented in this paper. By analyzing the interval of membership degree, the interval of non-membership degree and the interval of hesitancy degree, we provide two weighted arithmetic average indexes and two geometric average indexes of IVIFS. And we prove some mathematical properties of these average indexes. Finally, a multiple attribute decision making example applied to outsourced software project risk assessment is given to demonstrate the application of these statistical indexes. The simulation results show that the evaluation methods on these average indexes are all effective.