基于OE概念格的理想因子分解

The optimal factorization based on object-induced three-way concept lattices

文中主要研究如何用OE概念格作为因子分析中的理想因子,从而产生形式背景上基于OE概念格的理想因子分解,获得理想因子概念。定义了基于OE概念格的因子分解,基于OE概念格的理想因子分解以及(理想)因子,讨论了因子的存在性、最优性,并对强制性因子进行了研究。通过因子分解可以减少OE概念的个数,便于进行数据分析研究。

This paper mainly discusses the approach to obtain optimal factor concepts of object-induced three- way concept lattices for a formal context. The main idea is to take object-induced three-way concepts as the optimal factors in factor analysis, produce the optimal factorization and obtain the optimal factor concepts. The detailed procedure is as follows. The notions of factorization and optimal factorization are firstly defined on the basis of object-induced thine-way concept lattices as well as the optimal factors, and then, the universality and optimality of factors are discussed. Finally, the properties of mandatory factors are researched. Factorization can reduce the number of object-induced three-way concepts and make data analysis and research easier.