商空间中半序结构的拓扑合成方法

Topological Synthesis Method of Semi-Ordered Structure in Quotient Space Theory

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。

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.