Abstract
In modelling complex systems one of the main difficulties is handling the curse of dimensionality. Our aim is to research the ways to cope with this problem in the special case of telecommunication supervision systems (TSS). Telecommunication networks are usually very large and complex, so the design of intelligent supervision systems raises the need of algorithms that can handle large amount of data, in high dimensional spaces in a user-friendly manner.
For this purpose, it seems suitable to use hierarchically structured fuzzy rule base systems, (for their descriptive power and their reduced complexity compared to classical fuzzy rule base systems). As inference algorithm for such rule base systems, the KH interpolation is suggested.
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References
P. Baranyi, T. D. Gedeon and L. T. Kóczy, A general interpolation technique in fuzzy rule bases with arbitrary membership functions. Proc. of the IEEE Int. Conf. on System Man and Cybernetics (IEEE-SMC’96), Beijing, p. 510–515. 1998.
D. Dubois, H. Prade, Fuzzy Sets, Probability and measurement, European J. of Operational Research, 40, p. 135–154, 1989
G. J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications
L. T. Kóczy and K. Hirota, Ordering, distance and closeness of fuzzy sets. Fuzzy Sets and Systems 60, 281–293, 1993
L. T. Kóczy and K. Hirota, Approximate reasoning by linear rule interpolation and general approximation, Internat. J. Approx. Reason. 9, p. 197–225, 1993
L. T. Kóczy, L. Muresan, D. Tikk, Fuzzy systems with interpolation. An overview, IFSA/NAFIPS, Vancouver, 2001
L. Raman, Fundamentals of Telecommunications Network Management, 1999
D. Tikk and P. Baranyi, Comprehensive analysis of a new fuzzy rule interpolation method, IEEE Trans. on Fuzzy Systems 8 (3), p. 281–296, 2000
H. Wang, Telecommunications Network Management, 1999
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© 2003 Springer-Verlag Berlin Heidelberg
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Kóczy, L.T., Muresan, L., Csányi, K., Hirota, K. (2003). Interpolation in Hierarchical Rule Bases. In: Rutkowski, L., Kacprzyk, J. (eds) Neural Networks and Soft Computing. Advances in Soft Computing, vol 19. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1902-1_7
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DOI: https://doi.org/10.1007/978-3-7908-1902-1_7
Publisher Name: Physica, Heidelberg
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