基于概念格模型的代数系统应用分析

Algebra system research based on concept lattice

针对现阶段模式识别与人工智能领域形式化概念分析理论的多样性、复杂性、分类不均衡等各种不足点,对概念格结构以及其代数系统进行了深入分析与比较。依次对认知信息学代数系统、N代数系统以及W代数系统进行了阐述与剖析,对比了各个不同形态概念代数的系统思想与方法特征,并对N代数系统进行了广义概念代数理论形式化证明,为不同领域内概念表达、应用与分析模型的有效构建提供了强有力的知识支撑。

Algebra system is a structural model based on concept lattice,and it is a newly developing structural model which needs further enhancement and extension, so it need take more time to research and exploration. For the above missing point, firstly, this paper explained the N algebra system, W algebra system and algebra system in cognitive informaties. Secondly, it discussed comparative analysis among above three core contents of algebra system. Finally,it proved N algebra system belongs to W algebra system. The conclusions of this paper lay a solid foundation and support for further develop of algebra system.