一种新的三角模糊数算子在加权模糊推理中的应用

A New Operator for Triangular Fuzzy Numbers with Application in Weighted Fuzzy Reasoning

针对基于模糊逻辑的加权模糊推理,Chen Shy i-M ing提出了两种计算合取式前件整体真值的方法。由于所用模糊数算子的影响,两种方法的求取结果在准确性和合理性上都存在一定的缺陷。这种缺陷将直接影响推理的性能。因此,为改善这种缺陷,提高推理性能,本文提出了一种新的三角模糊数算子。它的应用可以提高推理的准确性和合理性。

While investigating the weighted fuzzy reasoning based on fuzzy logic, Chen Shyi-Ming has proposed two approaches to calculating the truth-value of a conjunctive antecedent for a fuzzy production rule. Due to the inappropriate operators selected in the process of calculation, the truth- values given by the two approaches are often found to have some defects in accuracy and reasonability. The defects of truth-values seriously downgrade the reasoning performance. In order to improve the accuracy of the truth-value and the reasonability of reasoning, this paper proposes a new operator for triangular fuzzy numbers and discusses its application to weighted fuzzy reasoning. The application of the new operator can lead to a more accurate and more reasonable reasoning conclusion.