Research on combined formal context

Currently, there are many ways to generate new formal contexts from the original ones. Among these ways, combining formal contexts is the simplest one. This paper mainly discusses the attribute characteristics in the composition of two formal contexts, which is called the combined formal context. It is proved that there exists a strong connection between the attribute characteristics in a combined context and those in the original contexts. Besides, some knowledge acquisition rules from the combined formal context are obtained by the rules from the original contexts. Furthermore, the relationships between the irreducible attributes of the combined context and those of the original contexts are studied.