Profit Distribution of the IPD Project on Triangular Fuzzy Number Payoff Cooperative Game

Integrated Project Delivery (IPD) has emerged as a novel project delivery system to achieving project goals and improves traditional project delivery methods. The success of the IPD mode is inseparable from the corresponding profits distribution mechanism. The focus of this study is to establish a method to optimize profit distribution in the IPD project. It used the membership function of the triangular fuzzy number (TFN) for the payoff function for profit distribution in the IPD mode. The Shapley values in the fuzzy cooperative game were expressed by the TFNs based on the concept of the α-cut sets, which is the interval of the Shapley value. Because of the Shapley value expressed by fuzzy value, the profit distribution value of IPD project is further given, which has better application value and practical significance. Finally, a case study that evaluates the proposed approach is presented to illustrate the use of the model and to demonstrate the capability of the model.