Form Of Background The Concept Of Horizontal Mergers Generate

The theory of concept lattices, proposed by Wille, R in 1982, is an efficient tool for knowledge discovery, knowledge representation and data analysis. It activates mathematical thinking for conceptual data analysis and knowledge processing, and promotes the cross development of disciplines. The theory of concept lattices has been successfully applied to various fields, such as soft engineering, data mining, information retrieval and pattern recognition.Being a generalization of FCA, the theory of fuzzy concept lattices is a powerfully tool to deal with uncertain knowledge in our life. In fuzzy concept lattices, the objects, attributes and relations are no longer crisp sets, they are fuzzy sets. This paper mainly studies the method of attribute reduction of combined formal context, and also studies the method how to produce the fuzzy concepts of the combined fuzzy formal context which was proposed by Belohavek. The main achievements contained in this dissertation are as follows.1. The relation of attribute characteristics between the combined formal context and primary formal contexts are obtained. At a result, based on the relation of attributes, a new method to obtain attribute reduction is proposed through the attribute characteristics.2. The relation between the fuzzy concepts of the combined fuzzy formal context and that of the primary fuzzy formal contexts is studied. The method which can produce the fuzzy concepts of the combined fuzzy formal context from the fuzzy concepts of sub-fuzzy contexts is obtained, and vice versa.