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Lattice Miner
Lattice Miner 〔Boumedjout Lahcen and Leonard Kwuida. Lattice Miner: A Tool for Concept Lattice Construction and Exploration. In Suplementary Proceeding of International Conference on Formal concept analysis (ICFCA'10), 2010〕 is a formal concept analysis software tool for the construction, visualization and manipulation of concept lattices. It allows the generation of formal concepts and association rules as well as the transformation of formal contexts via apposition, subposition, reduction and object/attribute generalization, and the manipulation of concept lattices via approximation, projection and selection. Lattice Miner allows also the drawing of nested line diagrams.
== Introduction ==
Formal concept analysis (FCA) is a branch of applied mathematics based on the formalization of concept and concept hierarchy and mainly used as a framework for conceptual clustering and rule mining.〔Bernhard Ganter and Rudolf Wille. Formal Concept Analysis: Mathematical Foundations. Springer-Verlag New York, Inc., 1999.〕
Over the last two decades, a collection of tools have emerged to help FCA users visualize and analyze concept lattices.〔Thomas Tilley. Tool support for fca. In ICFCA, pages 104–111, 2004.〕〔Pascal Hitzler and Henrik Schärfe. Conceptual Structures in Practice. studies in informatics series. CRC Press, 2009.〕 They range from the earliest DOS-based implementations (e.g., ConImp and GLAD) to more recent implementations in Java like ToscanaJ,〔Peter Becker and Joachim Hereth Correia. The toscanaj suite for implementing conceptual information systems. In Bernhard Ganter and Gerd Stumme, editors, Formal Concept Analysis, volume 3626 of Lecture Notes in Computer Science, pages 324–348. Springer Berlin / Heidelberg, July 2005.〕 Galicia,〔Petko Valtchev, David Grosser, Cyril Roume, and Mohamed Rouane Hacene. Galicia: An open platform for lattices. In In Using Conceptual Structures: Contributions to the 11th Intl. Conference on Conceptual Structures (ICCS03, pages 241–254. Shaker Verlag, Herzogenrath 2003.〕 ConExp 〔Concept explorer. http://conexp.sourceforge.net/license.html.〕 and Coron.〔Laszlo Szathmary and Amedeo Napoli. Coron: A framework for levelwise itemset mining algorithms. In Supplementary Proceedings of the Third International Conf. on Formal Concept Analysis (ICFCA’05), Lens, pages 110–113, 2005.〕 A main issue in the development of FCA tools is to visualize large concept lattices and provide efficient mechanisms to highlight patterns (e.g., concepts, associations) that could be relevant to the user. The initial objective of the FCA tool called Lattice Miner 〔Geneviève Roberge. Visualisation des résultats de la fouille des données dans les treillis des
concepts. Master’s thesis, Université du Québec en Outaouais, 2007.〕 was to focus on visualization mechanisms for the representation of concept lattices, including nested line diagrams. Later on, many other interesting features were integrated into the tool.
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