Abstract: Granularity conversion is one of the important studies of granular computing theory. Based on the topology of the quotient space granularity transformation, structure transformation of semi-order is further discussed, and then a new topological synthesis method of semi-order structure is introduced. Firstly, the conversion method of granularity of the quotient space theory and related concepts are introduced. Then a new method for the synthesis of multiple semi-ordered spaces is carried out, the synthetic result is discussed. Finally, examples are given to illustrate the steps of the proposed method. It has been proved that the new method is practical.

Key words: quotient space theory, granularity conversion, semi-ordered space, topological synthesis

摘要： 粒度转换是粒计算理论的重要内容之一。在总结讨论拓扑商空间的粒度转换的基础上，进一步讨论了半序结构的粒度转换，提出新的半序结构的拓扑合成方法。介绍了商空间理论中的粒度转换方法，引出半序空间的相关概念，主要提出了一种对多个半序空间进行合成的方法，并对合成后的结果进行了讨论，举例具体说明了该方法的使用步骤，说明了该方法的实用价值和意义。

关键词: 商空间, 粒度转换, 半序空间, 拓扑合成