Graph-FCA Meets Pattern Structures

A number of extensions have been proposed for Formal Concept Analysis (FCA). Among them, Pattern Structures (PS) bring complex descriptions on objects, as an extension to sets of binary attributes; while Graph-FCA brings n-ary relationships between objects, as well as n-ary concepts. We here introduce a novel extension named Graph-PS that combines the benefits of PS and Graph-FCA. In conceptual terms, Graph-PS can be seen as the meet of PS and Graph-FCA, seen as sub-concepts of FCA. We demonstrate how it can be applied to RDFS graphs, handling hierarchies of classes and properties, and patterns on literals such as numbers and dates.