%0 Conference Paper %1 Wille:1998 %A Wille, Rudolf %A Wille, Rudolf %B Conceptual Structures: Theory, Tools and Applications %D 1998 %E Mugnier, Marie-Laure %E Chein, Michel %E Mugnier, Marie-Laure %E Chein, Michel %I Springer %J Conceptual Structures: Theory, Tools and Applications %K Begriffsverband FCA Software,Mutabor %P 194--208 %R 10.1007/BFb0054915 %T Triadic concept graphs %U http://dx.doi.org/10.1007/BFb0054915 %V 1453 %X In the paper ``Conceptual Graphs and Formal Concept Analysis'', the author has presented a first attempt in unifying the Theory of Conceptual Graphs and Formal Concept Analysis. This context-based approach, which is philosophically supported by Peirce's pragmatic epistemology, is grounded on families of related formal contexts whose formal concepts allow a mathematical representation of the concepts and relations of conceptual graphs. Such representation of a conceptual graph is called a ``concept graph'' of the context family from which it is derived. In this paper the theory of concept graphs is extended to allow a mathematical representation of nested conceptual graphs by ``triadic concept graphs''. As in the preceding paper, our focuss lies on the mathematical structure theory, which later could be used for extending the already developed logical theory of simple concept graphs. The overall aim of this research is to contribute to the development of a contextual logic as basis of Conceptual Knowledge Processing. %@ 3-540-64791-0

@inproceedings{Wille:1998, abstract = {In the paper ``Conceptual Graphs and Formal Concept Analysis'', the author has presented a first attempt in unifying the Theory of Conceptual Graphs and Formal Concept Analysis. This context-based approach, which is philosophically supported by Peirce's pragmatic epistemology, is grounded on families of related formal contexts whose formal concepts allow a mathematical representation of the concepts and relations of conceptual graphs. Such representation of a conceptual graph is called a ``concept graph'' of the context family from which it is derived. In this paper the theory of concept graphs is extended to allow a mathematical representation of nested conceptual graphs by ``triadic concept graphs''. As in the preceding paper, our focuss lies on the mathematical structure theory, which later could be used for extending the already developed logical theory of simple concept graphs. The overall aim of this research is to contribute to the development of a contextual logic as basis of Conceptual Knowledge Processing. }, added-at = {2013-02-02T14:43:15.000+0100}, author = {Wille, Rudolf and Wille, Rudolf}, bdsk-file-1 = {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}, bdsk-url-1 = {http://dx.doi.org/10.1007/BFb0054915}, bibsource = {DBLP, http://dblp.uni-trier.de}, biburl = {https://www.bibsonomy.org/bibtex/20a2baf27df025b6c782200252fb6bc67/ks-plugin-devel}, booktitle = {Conceptual Structures: Theory, Tools and Applications}, crossref = {DBLP:conf/iccs/1998}, date-added = {2008-06-12 17:36:56 +0200}, date-modified = {2010-08-06 16:31:04 +0200}, doi = {10.1007/BFb0054915}, editor = {Mugnier, Marie-Laure and Chein, Michel and Mugnier, Marie-Laure and Chein, Michel}, groups = {public}, interhash = {3920f54deceeffe78e4c53a06f463269}, intrahash = {85927a30c142db9c237ab726cf33a3a7}, isbn = {3-540-64791-0}, journal = {Conceptual Structures: Theory, Tools and Applications}, keywords = {Begriffsverband FCA Software,Mutabor}, m3 = {10.1007/BFb0054915}, pages = {194--208}, publisher = {Springer}, series = {Lecture Notes in Comput. Sci.}, timestamp = {2013-02-02T14:43:15.000+0100}, title = {Triadic concept graphs}, ty = {CHAPTER}, url = {http://dx.doi.org/10.1007/BFb0054915}, username = {keinstein}, volume = 1453, year = 1998 }