Abstract: The curves of several dependent functions of extension evaluation are plotted.The features and application occasions for these dependent functions are discussed.One simple corollary is proposed and briefly proved.Some inaccurate ideas and des-criptions about extension theory in some papers are pointed out.The similarities and differences between variable fuzzy method and extension method are analyzed.The comparison of physical geography boundary division results for Fujian Province using these two methods with the maximum points of the dependent function and the relative difference function at four different special positions is given at last.

摘要： 绘制了几种可拓评价关联函数的曲线，讨论了它们的特点和应用场合，提出一个推论并进行了简要证明。指出了有关文献证明可拓学存在错误的不严谨性，分析了可变模糊方法和可拓方法的异同点，最后比较了关联函数和相对差异函数最大值点取在4个特殊位置时两种方法对福建省自然地理界线的划分情况。