As one of the advanced research direction in decision making fields, intuitionistic fuzzy multi-attribute decision
making is of wide applications in real decision making. According to the forms of development of intuitionistic fuzzy set,
such as intuitionistic fuzzy set, interval-valued intuitionistic fuzzy set, intuitionistic triangular fuzzy number, intuitionistic
trapezoidal fuzzy number and interval intuitionistic trapezoidal fuzzy number, the current research on their applications in
the multi-attribute decision making and group decision are introduced respectively. And further applications and research
directions are discussed in detail.