Mixed types of soft set and its extended model based decision making

Molodtsov originally proposed the soft set theory. It is regarded as a powerful tool for handling unclearly defined data. Furthermore, the soft set model can also be extended to new mathematical models as diverse as fuzzy soft sets, and interval-valued fuzzy soft set so on. In the real-life fuzzy environment, it is more reasonable that objects should be described by mixed types of the above models. In this paper, we propose mixed types of soft set, fuzzy soft set and interval-valued fuzzy soft set, and then decision making algorithm based on this mixed type is given. Finally, the availability of the proposed approach is validated by a proper example.