Abstract
This paper presents an approach to visualizing a system’s dynamic performance with rough performance maps. Derived from the Julia set common in the visualization of iterative chaos, performance maps are constructed using rule evaluation and require a minimum of à priori knowledge of the system under consideration. By the use of carefully selected performance evaluation rules combined with color-coding, they convey a wealth of information to the informed user about dynamic behaviors of a system that may be hidden from all but the expert analyst. A rough set approach is employed to generate an approximation of a performance map. Generation of this new rough performance map allows more intuitive rule derivation and requires fewer system parameters to be observed.
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References
G. Julia, Memoire sur l'iteration des fonctions rationnelles. J. de Math., vol. 8, 1918, 47–245.
B. B. Mandelbrot, Fractal Geometry. NY: John Wiley & Sons, 1982.
Z. Pawlak, Z, Rough Sets: Theoretical Aspects of Reasoning About Data, Boston, MA: Kluwer Academic Publishers, 1991
J. J. Alpigini, A Paradigm for the Visualization of Dynamic System Performance Using Methodologies Derived from Chaos Theory, Ph.D. Thesis, University of Wales, Swansea, UK, 1999.
R. L. Devaney, Computer Experiments in Mathematics. MA: Addison-Wesley, 1990, 83–90.
D. W. Russell, J. J. Alpigini, A Visualization Tool for Knowledge Acquisition Using a Julia Set Methodology for Dynamic System Expansion, Proceedings of the 9th International Conference on Software Engineering & Knowledge Engineering (SEKE'97), Madrid, Spain, 18-20 June, 1997, 326–331.
B. C. Kuo, Automatic Control Systems, Seventh Edition, Englewood Cliffs: Prentice Hall International, Inc., 1995, 385–402.
J. DiStefano, A. Stubberud, I Williams, Schaum’s Outline Series, Theory and Problems of Feedback and Control Systems, Second Edition, New York: McGraw-Hill, 1995, 114.
J. R. Rowland, Linear Control Systems, Modeling, Analysis, and Design, New York: John Wiley & Sons, 1986, 168–169.
A. Skowron and J. Stepaniuk. Decision rules based on discernability matrices and decision matrices. In: Proc. Third Int. Workshop on Rough Sets and Soft Computing, San Jose, California, 10-12 November 1994.
J. F. Peters, S. Skowron, Z. Suraj, W. Pedrycz, S. Ramanna, Approximate Real-Time Decision-Making: Concepts And Rough Fuzzy Petri Net Models, Int. Journal of Intelligent Systems, 14 (4), 805–840.
C. E. Shannon, A Mathematical Theory of Communication, The Bell System Technical Journal, V 27, July, October, 1948, 379–423, 623-656.
J. J. Alpigini, D. W. Russell, Visualization of Control Regions for Badly Behaved Real-Time Systems, IASTED International Conference on Modeling & Simulation, Pittsburgh, USA, 13-16 May, 1998.
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© 2001 Springer-Verlag Berlin Heidelberg
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Alpigini, J.J., Peters, J.F. (2001). Dynamic System Visualization with Rough Performance Maps. In: Ziarko, W., Yao, Y. (eds) Rough Sets and Current Trends in Computing. RSCTC 2000. Lecture Notes in Computer Science(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45554-X_10
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DOI: https://doi.org/10.1007/3-540-45554-X_10
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