基于三角模糊化的Mamdani模糊系统输出算法

先利用三角模糊化给出模糊规则后件输出模糊集的乘积推理机公式； 再根据三角模糊化、 乘积推理机和中心平均解模糊化引入Mamdani模糊系统的解析式, 并当前件模糊集取值为三角形模糊数时利用剖分论域和三角模糊化方法设计Mamdani模糊系统输出算法； 最后通过实例利用统计学的t-假设检验方法验证算法的有效性.

Output Algorithm of Mamdani Fuzzy System Based on Triangular Fuzzifier

Firstly, the product inference engine formula of the consequent output fuzzy set of fuzzy rules was given by using the triangular fuzzifier. Secondly, the analytical expression of the Mamdani fuzzy system was introduced according to the triangular fuzzifier, product inference engine and central average solution fuzzifier, and when the antecedent fuzzy set value was triangular fuzzy number, the output algorithm of Mamdani fuzzy system was designed by using subdivision domain and a triangular fuzzifier method. Finally, the effectiveness of the output algorithm was verified by using the statistical t-hypothesis test in an example.