| Fuzzy reasoning is the theory foundation of fuzzy control. It is an important tool for analyzing fuzzy controllers. At the present time, the fuzzy reasoning algorithms mainly based on CRI are applied in fuzzy reasoning and fuzzy control fields, which propose strict limitative conditions for implication operators and compound operators. When an unreasonable choice is employed, the output error of fuzzy reasoning systems may be enlarged. A new reasoning algorithm based on fuzzy sets close degree is proposed by Turksen, but the research on fuzzy reasoning systems haven't been investigated. So the perturbation of fuzzy reasoning systems is researched in the paper by fuzzy reasoning algorithms based on fuzzy sets close degree and the perturbation measuring method is proposed, which has the significance for stability of the fuzzy reasoning systems.So the problems have been researched as follows:(1) Firstly, the definition of fuzzy sets close degree is improved and the weight power is considered when calculating fuzzy sets close degree, which can adequately evaluate compositive close degree of fuzzy sets.(2) Secondly, rule perturbation of several fuzzy reasoning forms is analyzed and formulas for perturbation measuring are showed by using fuzzy reasoning algorithms based on fuzzy sets close degree.(3) Thirdly, perturbation of fuzzy reasoning systems is evaluated by using fuzzy reasoning algorithms based on fuzzy sets close degree.(4) Finally, liquid level fuzzy control of water tank is investigated under Matlab when rules of fuzzy reasoning systems perturb. |
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