The Application Of Fuzzy Multi-objective Programming In Regional Water Resources Optimal Allocation

Fuzzy multi-objective programming (FMOP) is an important way to solve many practical complicated optimization problems. In this paper, the modeling of the FMOP, the solving methods of the FMOP and its application in regional water resources optimal allocation (RWROA) are presented.For intensifying the management of the water resources and enhancing the efficiency of the finite water resources, the FMOP is applied to deal with the RWROA because of its multi-object and uncertainty. Based on the polestar of the sustainable harmonious development and the method of the FMOP, the regional water resources fuzzy multi-objective linear programming (RWRFMOLP) model and the regional water resources fuzzy multi-objective nonlinear programming (RWRFMONLP) model are established. Then the solving method is introduced. The performance of the proposed models is illustrated by calculation of the practical example. The main contents of this paper are listed as follows.I. Based on the historical data and the social development plan, the future data which is related with the water resources programming is predicted by gray prediction method.II. The RWRFMOLP model is established. The optimized goals include economic profits, environmental profits and society profits. Then this paper puts the step of the solution. At last, this paper illustrates the validity of the model by making use of the practical water resources data of the Dongying City.III. Based on the RWRFMOLP model, this paper establishes the RWRFMONLP model. Two approaches are applied to solve the model. One is the fuzzy programming approach and another is the"fuzzy optimal solution"approach based on genetic algorithm.The fuzzy programming approach changes the fuzzy model into the certain models which have different styles by three different methods. Then three satisfacty solutions can be obtained by this approach. Based on the four different rules in the"fuzzy optimal solution"approach, four satisfacty solutions can be obtained. Similarly, this paper takes Dongying City's water resources optimal allocation as an example to illustrate the validity of the model.IV. For valuing and ordering some different water resources programming strategies, this paper introduces an ordering method based on similar figures. It defines the similar weight by similar figures, then gives a method of determining index weight according to the objective standard. This method avoids the subjective factors of the Delphi method.