Softmax function based intuitionistic fuzzy multi-criteria decision making and applications

Abstract

As one of the generalizations of the logistic function, softmax function has been widely used in different probabilistic classification methods. In this paper, we develop some novel aggregation operators under intuitionistic fuzzy environment by introducing the softmax function. The developed aggregation operators can describe the prioritization correlations between the objective criteria effectively. A multi-criteria decision making method using the softmax function based operators are introduced and applied it to flood disaster risk assessment problem. An actual example of the five cities (Hangzhou, Ningbo, Wenzhou, Shaoxing and Huzhou) in Zhejiang Province of China is adopted to show the practicability of the proposed decision method. Furthermore, comparative studies with other decision making methods is conducted to verify the availability. The compare results indicate that the softmax function based operators is very useful to handle intuitionistic fuzzy decision making problem.