基于上近似的近似推理

Approximate reasoning based on upper approximation

为使上近似蕴含的近似信息得到延伸,特将近似空间进行了扩充,从而得到树型近似空间,在其中经上近似与树的融合,引出了不同于其他方式的近似推理。通过分析研究,描述了近似推理的特性,获得了相关的结论。此即表明近似推理不仅保持路径中结点间精确的关联信息,而且拓宽了结点间相互推出的渠道,是一种宽泛性的推理模式。同时树型近似空间及近似推理为实际问题的处理建立了数学方法。

In order to investigate the approximate information contained in upper approximation,a tree-approximation space is established,which is an extension of an approximate space.By integrating upper approximation with a tree within the tree-approximation space,a new kind of approximate reasoning,being different from other ones,is introduced.Making analyses and researches on it,the work is accomplished,which describes the properties of approximate reasoning,and gives some conclusions showing that approximate reasoning not only preserves the precise implication determined by the vertices in a path,but also expands reasoning routes followed by vertex inference.Hence approximate reasoning sets up a broad means for reasoning.At the same time, a tree-approximation space and approximate reasoning establish a mathematical method for data processing in practice.