Application of Fuzzy Matter-Element Model Based on Cooperative Game Weight in Evaluation of Groundwater Carrying Capacity

A fuzzy matter-element evaluation modeling based on cooperative game weight (FME-CGW) is presented in this paper. Based on cooperative game theory, authors introduce a cooperative game weight which embodying an idea of competition and coordination among different weight methods. Based on the cooperative game weight, employing fuzzy matter-element theory and Hamming approach degree, the authors develop FME-CGW model. The derived model is applied to assess the groundwater resources carrying capacity in Guanzhong plain in Shaanxi province. The results are reasonable and satisfactory by comparing to other methods. The study of this practical example shows that the modeling presented in this paper is a new method with simple algorithm and strong practicability, which can be adopted to analysis various comprehensive evaluation issues.