模糊推理中的合理结论

B. Lazzerini, F. Marcelloni
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引用次数: 4

摘要

我们考虑模糊蕴涵算子,它是二值逻辑蕴涵算子的扩展,并且相对于它们的第二个参数是非递减的。首先,我们分析了这些算子在单规则模糊推理方面的一些特征。然后,对于具有多规则的近似推理,我们证明了在组合推理规则(CRI)的背景下使用su - t组合的推理过程,推断出合理结论的必要条件是将最小值用作聚合算子。最后,当使用最小值作为聚合算子时,我们提供了一个得到合理推理结果的充分条件。
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Reasonable conclusions in fuzzy reasoning
We consider fuzzy implication operators which are extensions of the two valued logic implication operator and are non decreasing with respect to their second argument. Firstly, we analyze some features of these operators with regard to fuzzy reasoning with one rule. Then, as regards approximate reasoning with multiple rules, we demonstrate that, for an inference process using Sup-T composition in the context of Compositional Rule of Inference (CRI), a necessary condition to infer a reasonable conclusion is that the minimum be used as an aggregation operator. Finally, when the minimum is used as an aggregation operator we provide a sufficient condition to obtain a reasonable inference result.
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