方言研究中的数学模型

Mathematics Models for Dialect Study

方言的分布体现着语言符号所具有的离散性和模糊性，因此可以用模糊数学的方法研究方言。本文给出了利用模糊集合的截集Ａλ确定方言片边界、通过建立模糊向量、描述点方言相对于某大方言的隶属关系，以及借助模糊集合的距离来描述方言之间差异的数学模型。

Dialects can be studied by means of fuzzy mathematics due to the fact that the distribution of dialects manifests inherent properties of discreteness and fuzziness. In the paper, mathematics models of the dialect region determination, the subordinate relationship between the point dialect and the piece dialect which is set up by fuzzy vector,and the diversity among dialects defined by fuzzy class distance, are describe.