Simulating continuous fuzzy systems

: In our book to appear in print from Springer-Verlag GmbH, Simulating Continuous Fuzzy Systems, Buckley and Jowers, we use crisp continuous simulation under Matlab™/Simulink™ to estimate fuzzy solution trajectories for several different systems of ordinary differential equations (ODEs). Our approach to simulation of a fuzzy system is to evaluate the system with triangular fuzzy parameters, evaluating at the left/vertex/right supports and values in between. Solutions are presented as a graph(s) of the variable(s) of interest, with respect to time. We now investigate two capabilities we identified as interesting for future research. With multiple fuzzy parameters, a solution graph is likely to become overloaded with superfluous information (trajectories which do not contribute to a solution). Because of the cost of plotting the superfluous information, critical support values may be skipped. We implement a reduction algorithm for determining solution boundaries, as trajectories are ...

• Type: Journal
• Year: 2007
• Where: ISCI
• Authors: Leonard J. Jowers, James J. Buckley, Kevin D. Reilly
• Keywords: Fuzzy Parameter, Fuzzy Solution Trajectories, ISCI 2007, Solutions