Formal Concept Analysis is a relatively new (approximately 20 years old)
field of applied mathematics (as a branch of applied lattice theory) based
on the mathematization of concept and conceptual hierarchy. FCA thereby
activates mathematical thinking for conceptual data analysis and knowledge
processing and can be used as a foundation for tools for conceptual
unfolding of data contexts.
My current work focusses on improving some FCA algorithms and investigating
the possibilities of employing the methods of formal concept analysis to
deal with problems in the re-engineering of UML models: models optimization,
restructuring, integration, etc.