Bidirectional projection method with hesitant fuzzy information

The hesitant fuzzy projection method is studied.The vectors of alternative,positive and negative ideal point are defined.A projection measure method is proposed,in which the attribute values are in the form of hesitant fuzzy set.A new relative closeness degree formula based on positive and negative ideal point is presented.By Jaynes' maximum entropy principle and alternatives' fair competition,a mathematical model is constructed to obtain the attribute weights.In the last,a numerical example is given to verify the effectivity and feasibility of the proposed method.