改进共原点灰色聚类评价方法在灌区节水改造中的应用

Application of improved gray clustering evaluation method in water-saving reconstruction of irrigation district

针对灰色聚类评价共原点聚类函数存在的灰类交叉及隶属度等速率变化不合理现象,对原函数的灰类区间以及隶属度走势进行修改,提出了中心化抛物线形函数的改进共原点聚类函数,用此函数对评价体系指标进行模糊化处理,使得评价更具合理性与真实性.采用主客观最优组合权重计算综合聚类系数,解决了权重与阈值信息重叠的矛盾.将改进后的中心化抛物线形函数与共原点灰色聚类函数进行对比分析,分析函数变化趋势以及最终的综合聚类系数,改进的中心化抛物线形函数比共原点灰色聚类更加符合实际情况.最后选取潘庄大型灌区,进行续建配套与节水改造工程建设后评价,评价结果与实际情况较为吻合.

Gray clustering evaluation method is extensively used in evaluation of multi-factor things. An improved common origin clustering function with centralized parabolic function was proposed to remove the disadvantages such as gray class overlap and membership grade even change in the function.This function can be used to make evaluation indices fuzzification, and allow the evaluated results to be more reasonable and truthful.The subjective and objective optimal combination weight method was adopted to calculate the comprehensive clustering coefficient and the overlap contradiction between weight and threshold information was resolved.The improved centralized parabolic function was compared with the original common origin gray clustering function, and the variation trend and the final comprehensive clustering coefficient of the function were analyzed. The results show that the improved centralized parabolic function is more suitable to the actual condition than the common origin gray clustering does.Finally, taking Panzhuang Irrigation District as an example, an evaluation on the water-sa- ving reconstruction project in the district was carried out, and the evaluated results are well consistent with the actual situation.