Formal Concept Analysis (FCA) is useful in many applications, not least in data analysis. In this paper, we apply the FCA approach to the problem of classifying sets of sets of durations of time, for the purposes of storing them in a database. The database system in question is, in fact, an object-oriented text database system, in which all objects are seen as arbitrary sets of integers. These ...

Continuing our categorical study of L-fuzzy extensions of formal concept analysis, we provide a representation theorem for the category of L-Chu correspondences between L-formal contexts and prove that it is equivalent to the category of completely lattice L-ordered sets.

This study examines concept mapping as a follow-up study strategy for learning from text. Based on a task analysis of the sub-tasks learners must accomplish during mapping, we developed the following support measures: Participants (N = 102) either generated a map (1) from scratch (map-generation), (2) from a list of concepts (concepts-provided), (3) from spatially arranged concepts (concepts-ar...

This paper presents an FCA-based methodology for concept detection in a flat ontology. We apply this approach to an automatically generated ontology for a RosettaNet Partner Interface Process (PIP) which does not take advantage of some important OWL semantic relations like subClassOf. The goal of our approach is to regroup ontology classes sharing a set of properties (Data and Object Property) ...

The O(αsnfT 2 FCA,F ) terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable N using a new summation technique. These twist-2 matrix elements occur as transition functions in the variable flavor number scheme at NNLO. The calculation uses sum-representations in generalized hypergeometric series turning into harmonic sums. The analytic cont...

Formal concept analysis has become an important and appealing research topic. There exist a number of different fuzzy extensions of formal concept analysis and of its representation theorem, which gives conditions for a complete lattice in order to be isomorphic to a concept lattice. In this paper we concentrate on the study of operational properties of the mappings α and β required in the repr...

The importance of weak social ties in professional communities is well studied and widely accepted. In our paper we analyze the structure of strong ties based on the co-authorship relation and use the formal concept analysis framework to figure out weak ties. The research is motivated by fast growing need in cross-disciplinary research, which requires experts from different areas to understand ...