Abstract
Formal concept analysis identifies conceptual structures among data sets. Multi-level modeling potentialities in formal concept analysis are highlighted.
Triadic formal concept analysis is related to Peirce’s categories.
Rough sets approximations and hierarchical class analysis are applied for separation schemes. A tetradic formal concept analysis is presented as general PSM framework.
Case studies refer to separation lattices flow-sheets, drugs mixtures formulation, security for information technology, reliability management systems and failure analysis for printed circuits.
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References
Chen, Y.H., Yao, Y.Y.: Formal concept analysis based on hierarchical class analysis. In: Proceedings of the 4th IEEE International Conference on Cognitive Informatics, ICCI 2005, pp. 285–292 (2005)
Dau, F., Wille, R.: On the Modal Understanding of Triadic Contexts. In: Decker, R., Gaul, W. (eds.) Classification and Information Processing at the Turn of the Milenium, Proc. Gesellschaft für Klassifikation (2001)
Ganter, B., Wille, R.: Formal Concept Analysis. Mathematical Foundations. Springer, Berlin (1999)
Hwang, S.-H., Kang, Y.-K.: Applying Hierachical Classes Analysis to Triadic context for Folksonomy Mining. In: International Conference on Convergence Information Technology, ICCIT 2006, pp. 103–109 (2007)
Iordache, O.: Evolvable Designs of Experiments Applications for Circuits. J. Wiley VCH, Weinheim (2009)
Iordache, O., Corriou, J.P., Garrido-Sanchez, L., Fonteix, C., Tondeur, D.: Neural network frames applied for biochemical kinetic diagnosis. Comp. Chem. Engng. 17, 1101–1113 (1993a)
Iordache, O., Corriou, J.P., Tondeur, D.: Separation Sequencing. Use of Information Distance., Canad. Journ. of Chem. Engng. 71(12), 955–966 (1993b)
Lehmann, F., Wille, R.: A triadic approach to formal concepts analysis. In: Ellis, G., Rich, W., Levinson, R., Sowa, J.F. (eds.) ICCS 1995. LNCS, vol. 954. Springer, Heidelberg (1995)
Lounkine, E., Bajorath, J.: Adaptation of formal concept analysis for the systematic exploration of structure-activity and structure-selectivity relationships. Journal of Cheminformatics 2(suppl. 1), 21 (2010)
Pawlak, Z.: Rough sets. Int. Journ. of Information and Computer Science 11, 341–356 (1982)
Popel, D.V., Dani, A.: Sierpinski Gaskets for Logic Functions Representation. In: Proc. IEEE International Symposium on Multiple-Valued Logic, pp. 39–45 (2002)
Rayudu, R.K., Samarasinghe, S., Maharaj, A.: A co-operative hybrid algorithm for fault diagnosis in power transmission. IEEE Journal of power Systems Engineering, 1939–1944 (2000)
Sisiaridis, D., Rossiter, N., Heather, M.A.: Holistic Security Architecture for Distributed Information Systems-A Categorical Approach. In: European Meeting on Cybernetics and Systems Research, Symposium Mathematical Methods in Cybernetics and Systems Theory, University Vienna, pp. 52–57 (2008)
Stumme, G.: A finite state model for on-line analytical processing in triadic contexts. In: Ganter, B., Godin, R. (eds.) ICFCA 2005. LNCS (LNAI), vol. 3403, pp. 315–328. Springer, Heidelberg (2005)
Valtchev, P., Missaoui, R.: Similarity-based Clustering versus Galois lattice building: Strengths and Weaknesses, ECOOP 2000 Workshop on Objects and Classification: a Natural Convergence, Sophia-Antipolis, France (June 2000)
Wille, R.: The basic theorem of triadic concept analysis. Order 12, 149–158 (1995)
Wille, R.: Restructuring mathematical logic: an approach based on Peirce’s pragmatism. In: Ursini, A., Agliano, P. (eds.) Logic and Algebra, pp. 267–281. Marcel Dekker, New York (1996a)
Wille, R.: Conceptual structures of multicontexts. In: Eklund, P.W., Ellis, G., Mann, G. (eds.) ICCS 1996. LNCS, vol. 1115, pp. 23–39. Springer, Heidelberg (1996b)
Yao, Y.Y.: Concept lattices in rough set theory. In: Proccedings of the 23rd International Meeting of the Nort American Fuzzy Fuzzy Information Processing Society, pp. 796–801 (2004)
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Iordache, O. (2011). Formal Concept Analysis. In: Modeling Multi-Level Systems. Understanding Complex Systems, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17946-4_9
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DOI: https://doi.org/10.1007/978-3-642-17946-4_9
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