Propagation of Random Perturbations under Fuzzy Algebraic Operators
KSEM '09 Proceedings of the 3rd International Conference on Knowledge Science, Engineering and Management
Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances
Fuzzy Sets and Systems
Robustness analysis of full implication inference method
International Journal of Approximate Reasoning
On robustness of the full implication triple I inference method with respect to finer measurements
International Journal of Approximate Reasoning
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The analysis of stability and robustness of fuzzy reasoning is an important issue in areas like intelligent systems and fuzzy control. An interesting aspect is to what extent the perturbation of input in a fuzzy reasoning scheme causes the oscillation of the output. In particular, when the error limits (restrictions) of the input values are given, what the error limits of the output values are. In this correspondence, we estimate the upper and lower bounds of the output error affected by the perturbation parameters of the input, and obtain the limits of the output values when the input values range over some interval in many fuzzy reasoning schemes under compositional rule of fuzzy inference (CRI)