An improved TOPSIS with weighted hesitant vague information

The selection of the best alternatives in project management has attracted increasing attention due to the uncertain environment. Vague TOPSIS is one of the powerful methods to solve this problem. In this work, firstly, a method of measuring the similarities of vague set which can take the uncertainty preference into account is raised and comparison between methods has been made to verify its effectiveness. Then, a vague set based TOPSIS in group decision is proposed to aid the decision making in project management. In this method, the weights of the experts for different criteria in the group decision are completely unknown and are calculated with the similarities of the judgments by them in the project. Finally, a computation example is shown to illustrate the method.