A novel decision making approach based on intuitionistic fuzzy soft sets

Molodtsov’s soft set was initiated as a general emerging mathematical tool to deal with uncertain problems, which is free from the limitations of other traditional mathematical tool. It has been proven that decision making based on soft sets boom in recent years in many different fields. In this paper, a novel multi-criteria ranking approach is generalized based on intuitionistic fuzzy soft sets. There will be only one optimal decision among all the selections, instead of several or all by this method. Firstly, we present several notations named degree-hesitation function, score function and accuracy function to intuitionistic fuzzy soft set, and then give several principles based on these concepts. Some different decision making algorithms can be got for different preference, and a concrete algorithm is proposed in a certain condition. Moreover, we introduced the weighted ranking approach to the weighted intuitionistic fuzzy soft set. At the same time, both of these situations are proved to be effective with the help of examples. Finally, we conclude the research and further research directions.