Abstract:

A numerical extending (NE) method for hesitant fuzzy sets (HFSs) based on normative operator is proposed to solve the problem that the membership number of the HFS is usually unequal. Meanwhile, we point out the weakness of the existing NE extending method for HFS. In this new method, without new decision-making information adding, it extends the shorter membership with the mean of the existing membership of the given HFSs until all of them have the same length. Furthermore, we summarize the HFSs NE method with the help of the ordered weighted averaging (OWA) operators. Finally we apply the proposed methods in decision-making problems for multi-sensor electronic reconnaissance intelligence processing. Then we make the decision based on the developed technique for the order preferences by similarity to ideal solution (TOPSIS)-ε method. Combined with the simulation example, the effects of the different distance measures, distance parameters and attribute weights on the decision result are demonstrated. It also shows the superiority of the proposed approach in stability and intuitiveness for the HFSs’ NE in detail.