论文标题
一些关于多核概念分析的注释
Some Notes on Polyadic Concept Analysis
论文作者
论文摘要
尽管形式概念分析（FCA）是数据分析的数学框架，但其某些扩展仍然被认为是奥术。多核概念分析（PCA）是这些扩展中最有前途的研究之一。这种形式主义提供了许多有趣的开放性问题，但由于复杂的符号和缺乏约定的基本定义而妨碍了它的传播。在本文中，我们以非正式的方式讨论FCA和PCA之间在上下文，概念结构和规则之间的关系中的基本差异。我们确定了关于概念n级念头最大尺寸的部分问题，并提出了新的研究方向。
Despite the popularity of Formal Concept Analysis (FCA) as a mathematical framework for data analysis, some of its extensions are still considered arcane. Polyadic Concept Analysis (PCA) is one of the most promising yet understudied of these extensions. This formalism offers many interesting open questions but is hindered in its dissemination by complex notations and a lack of agreed-upon basic definitions. In this paper, we discuss in a mostly informal way the fundamental differences between FCA and PCA in the relation between contexts, conceptual structures, and rules. We identify open questions, present partial results on the maximal size of concept n-lattices and suggest new research directions.
