The Evaluation of Hydraulic Engineering Scheme Based on Choquet Fuzzy Integral

It is often difficult to establish an indicator system to evaluate the hydraulic engineering scheme where the indicators are mutually independent and the project attributes can be revealed comprehensively. In the paper, firstly, probabilistic measures are calculated by diversity between indicators from different and uniform hydraulic engineering scheme based on information entropy and variable weights. Secondly, optimal model of fuzzy measure is built by means of Shapley value definition of multi-people collaborative gambles and Marichal entropy theory, thus the probabilistic measure can be converted to fuzzy measures. Thirdly, on the basis of Choquet integral definition, synthetical evaluation of alternative schemes is calculated according to the known value from bottom to top. The demonstration shows that the method is feasible to array the order of hydraulic engineering scheme, and that computational complexity obviously increases with increasing indictor numbers and application scope of the method will be greatly widened with the improvement of the optimal algorithm.