Formal Concept Analysis
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Formal Concept Analysis (FCA) is an paradigm of representing knowledge, based on the duality of attributes and objects that are related to each other through a binary incidence relation. The resulting structure is called a formal context, can equivalently represented as a complete lattice, and gives rise to numerous practical and theoretical applications.
My work in the area is mostly related to the logical and algebraic aspects of FCA.
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- Markus Krötzsch, Bernhard Ganter. A Brief Introduction to Formal Concept Analysis. In Pascal Hitzler, Henrik Schärfe, eds.: Conceptual Structures in Practice. 2009.
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- Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler. Quo Vadis, CS? – On the (non)-impact of Conceptual Structures on the Semantic Web. In Uta Priss, Simon Polovina, Richard Hill, eds.: Proceedings of the 15th International Conference on Conceptual Structures (ICCS-07). 2007.
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- Pascal Hitzler, Markus Krötzsch. Querying Formal Contexts with Answer Set Programs. In Henrik Schärfe, Pascal Hitzler, Peter Ohrstrom, eds.: Proceedings of the 14th International Conference on Conceptual Structures (ICCS-06). 2006.
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- Pascal Hitzler, Markus Krötzsch, Guo-Qiang Zhang. A Categorical View on Algebraic Lattices in Formal Concept Analysis. In Fundamenta Informaticae 74 (2–3). 2006.
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- Markus Krötzsch, Grit Malik. The Tensor Product as a Lattice of Regular Galois Connections. In Rokia Missaoui, Jürg Schmid, eds.: Proceedings of the 4th International Conference on Formal Concept Analysis (ICFCA-06). 2006.
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- Markus Krötzsch, Pascal Hitzler, Guo-Qiang Zhang. Morphisms in Context. In Frithjof Dau, Marie-Laure Mugnier, Gerd Stumme, eds.: Proceedings of the 13th International Conference on Conceptual Structures (ICCS-05). 2005.
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- Markus Krötzsch. Morphisms in Logic, Topology, and Formal Concept Analysis. 2005.
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