Modelling Complex Patterns by Information Systems

• Autorzy: Stepaniuk, J. , Bazan, J.G. , Skowron, A.
• Języki publikacji: EN

Abstrakty

EN

We outline an approach to hierarchical modelling of complex patterns that is based on operations of sums with constraints on information systems. We show that such operations can be treated as a universal tool in hierarchical modelling of complex patterns.

Słowa kluczowe

EN

complex patterns; rough sets; approximation space; information systems; infomorphisms

• Czasopismo: Fundamenta Informaticae
• Rocznik: 2005
• Tom: Vol. 67, nr 1-3
• Strony: 203--217
• Opis fizyczny: Bibliogr. 20 poz., wykr.

Twórcy

autor

Stepaniuk, J.

• Department of Computer Science, Białystok University of technology, Wiejska 45A, 15-351 Bialystok, Poland,

autor

Bazan, J.G.

• Institute of Mathematics, University of Rzeszów Rejtana 16A, 35-959 Rzeszów, Poland,

autor

Skowron, A.

• Institute of Mathematics, Warsaw University Banacha 2, 02-097 Warszawa, Poland,

Bibliografia

• [1] Bazan, J., Nguyen, S.H., Nguyen, H.S., Skowron, A.: Rough set methods in approximation of hierarchical concepts. In: Fourth International Conference on Rough Sets and Current Trends in Computing (RSCTC’04), Uppsala, Sweden, June 1-5, 2004. Lecture Notes in Computer Science, Springer-Verlag 3066, Heidelberg, 2004, 346-355.
• [2] Barwise, J., Seligman, J.: Information Flow: The Logic of Distributed Systems, Cambridge University Press Tracts in Theoretical Computer Science 44, 1997.
• [3] Garcia-Molina, H., Ullman, J.D.,Widom, J.D.: Database Systems: The Complete Book, Prentice Hall, Upper Saddle River, New Jersey, 2002.
• [4] Łukasiewicz, J.: Die Logischen grundlagen der Wahrscheinlichkeitsrechnung, Kraków 1913. In Borkowski, L., ed.: Jan Łukasiewicz – Selected Works. North Holland Publishing Company, Amstardam, London, Polish Scientific Publishers, Warsaw, 1970.
• [5] Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Dordrecht, 1991.
• [6] Peters, J. F., Skowron, A., Synak, P., Ramanna, S.: Rough Sets and Information Granulation, Tenth International Fuzzy Systems Association World Congress IFSA (T. Bilgic, D. Baets, O. Kaynak, Eds.), Lecture Notes in Artificial Intelligence, 2715, Springer-Verlag, Heidelberg, 2003, 370–377.
• [7] Pal, S.K., Polkowski, L., Skowron, A. (Eds.): Rough-Neural Computing: Techniques for Computing with Words. Springer-Verlag, Berlin, 2004.
• [8] Poggio, T., Smale, S.: The Mathematics of Learning: Dealing with Data, Notices of the AMS, 50(5), 2003, 537–544.
• [9] Skowron, A., Stepaniuk, J.: Tolerance Approximation Spaces, Fundamenta Informaticae 27, 1996, 245–253.
• [10] Skowron, A., Stepaniuk, J.: Information Granules: Towards Foundations of Granular Computing, International Journal of Intelligent Systems 16(1), 2001, 57–86.
• [11] Skowron, A., Stepaniuk, J.: Information Granules and Rough-Neuro Computing. in [7], 43–84.
• [12] Skowron, A., Stepaniuk, J., Peters, J.F.: Rough Sets and Infomorphisms: Towards Approximation of Relations in Distributed Environments, Fundamenta Informaticae, 54(1-2), 2003, 263–277.
• [13] Skowron, A., Synak, P., Peters, J.F.: Spatio-TemporalApproximate Reasoning over Hierarchical Information Maps, Fundamenta Informaticae, this valume, 2005.
• [14] Skowron, A., Swiniarski, R., Synak, P.: Approximation Spaces and Information Granulation. In: Fourth International Conference on Rough Sets and Current Trends in Computing (RSCTC’04), Uppsala, Sweden, June 1-5, 2004. Lecture Notes in Computer Science 3066, Springer-Verlag, Heidelberg, 2004, 116-126.
• [15] Słowiński, R., Greco, S., Matarazzo, B.: Rough Set Analysis of Preference-Ordered Data, Lecture Notes in Artificial Intelligence 2475, Springer-Verlag, Heidelberg, Germany, 2002, 44–59.
• [16] Stepaniuk, J.: Knowledge Discovery by Application of Rough Set Models, (Eds.) L. Polkowski, S. Tsumoto, T.Y. Lin, Rough Set Methods and Applications. New Developments in Knowledge Discovery in Information Systems, Physica–Verlag, Heidelberg, 2000, 137–233.
• [17] Stone, P.: Layered Learning in Multi-Agent Systems: A Winning Approach to Robotic Soccer. The MIT Press, Cambridge, MA, 2000.
• [18] Zadeh, L.A.: Toward a theory of fuzzy information granulation and its certainty in human reasoning and fuzzy logic. Fuzzy Sets and Systems 90 (1997) 111–127.
• [19] Zadeh, L.A.: A new direction in AI: Toward a computational theory of perceptions. AI Magazine 22(1), 2001, 73–84.
• [20] The RSES Homepage – logic.mimuw.edu.pl/~rses