Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts

Mining Association Rules in Folksonomies

“…I. e., ≺ = ∅, and we will simply note a folksonomy as a quadruple F := (U, T, R, Y ). This structure is known in Formal Concept Analysis (Wille (1982); Ganter and Wille (1999)) as a triadic context (Lehmann and Wille (1995);Stumme (2005)). An equivalent view on folksonomy data is that of a tripartite (undirected) hypergraph G = (V, E), where V = U∪T∪R is the set of nodes, and E = {{u, t, r} | (u, t, r) ∈ Y } is the set of hyperedges.…”

“…13 Instead, we just recall the definition of the association rule mining problem, which was initially stated by Agrawal et al (1993), in order to clarify the notations used in the following. We will not use the original terminology of Srikant et al, but rather exploit the vocabulary of Formal Concept Analysis (FCA) (Wille (1982)), as it better fits with the formal folksonomy model introduced in Definition 1. 14 Definition 2.…”

Publication Analysis of the Formal Concept Analysis Community

“…Both lattices seem to reflect the two main schools of the considered conferences: FCA and CG. Each cluster cites one of their cornerstone-publications ( [60] and [54]) and their creators (R. Wille and J.F. Sowa).…”

“…As a general observation, the most often cited papers from ICCS are theory-minded, the most important papers from ICFCA equally present theory and applications of and for FCA. The most often cited papers from other sources include publications belonging to the foundations of the disciplines FCA [5,36,60] and CG [54].…”

Formal Concept Analysis in Knowledge Discovery: A Survey

“…Formal Concept Analysis (FCA) was invented in the early 1980s by Rudolf Wille as a mathematical theory (Wille, 1982). FCA is concerned with the formalization of concepts and conceptual thinking and has been applied in many disciplines such as software engineering, knowledge discovery and information retrieved during the last 15 years.…”