Triadic Concept Graphs and Their Conceptual Contents

Concept graphs are mathematizations of asserting proposi- tions consisting of (dyadic) concepts and objects. In order to take condi- tions or modalities in consideration triadic concept graphs are introduced as a straightforward generalization based on the basic notions of Triadic Concept Analysis. Then concept implications are discussed and concep- tual contents of triadic concept graphs are introduced. It turns out that this approach can be reduced to a dyadic view; and the Basic Theorem on Conceptual Contents is obtained as a consequence of that. Finally, triadic concept graphs are generalized by introducing a subdivision, i.e. concept graphs with a more complex "rhetoric structure" are considered.