Towards a closure operator for enumeration of maximal tricliques in tripartite hypergraphs

Triadic Formal Concept Analysis (3FCA) was introduced by Lehman and Wille almost two decades ago, but up-to-date even though that different researchers actively work on this FCA branch, a proper closure operator for enumeration of triconcepts, i.e. maximal triadic cliques of tripartite hypergaphs, was not introduced. In this paper we show that the previously introduced operators for obtaining triconcepts and maximal connected and complete sets (MCCS) are not always consistent and provide the reader with a definition of valid closure operator and associated set system.