相对隶属度理论及其在地下水水质评价中应用

论述了相对隶属度理论及该理论应用于模糊评价的基本原理和方法，包括相对隶属度函数的建立；模糊识别目标函数的建立和由该目标函数进行的模糊模式识别模型推导：模糊评价矩阵生成以及级别特征值评价法。结合地下水水质评价应用实例，分析了该理论用于模糊评价的特点和实用性，结论是用该理论求得的相对隶属度使评价对象因素之间具有很好的可比性，其模糊识别模型具有清晰的数学和物理意义，所使用的级别特征值评价法能更好的反映评价对象的特征。因此，用相对隶属度理论进行模糊评价更具实用性。

Relative membership grade theory and its application In assessing groundwater quality

In this paper, relative membership grade (RMG) theory is discussed. Based on the RMG theory, the principles and methods are studied in detail, the RMG function is put forward, a fuzzy recognition objective function (FROF) is established, and a fuzzy pattern recognition model (FPRM) is derived from the FROF. According to the FPRM a fuzzy assessment matrix is formed. The rank feature value method (RFVM) for assessing presented by Chen is also discussed. Combined with a real example of assessment on groundwater quality, characteristic and feasible of using the theory in assessment practice is analyzed. The results show that the RMG make assessment objects to have more comparability, and the FRRM has distinct mathematic and physical meaning, moreover the RFVM can give out more accurate assessment results. In a word, it is more feasible to use the RMG theory in assessment practice.