Triadic concepts acquisition based on triadic granular concepts

As the extended theory and method of formal concept analysis, triadic concept analysis is mainly used to process three-dimensional data, and the triadic concepts acquisition is one of its important research topics. Motivated by the idea of acquiring binary concepts based on the object concepts in formal concept analysis, this paper gives the method of obtaining all triadic concepts. First of all, on the basis of the existing method of generating triadic concepts from object-condition triadic granular concepts, a method of obtaining all triadic concepts from the intent set of object-condition triadic granular concepts is presented. Secondly, according to the characteristics of a triadic context and the relationship between the extent, the intent and the mode of a triadic concept, the method of obtaining all triadic concepts based on the mode set (the extent set) of attribute-object (condition-attribute) triadic granular concepts is proposed. Finally, the concrete calculation steps of the method proposed in this paper are given by taking the attribute-object triadic granular concepts as an example.