基于Mamdani蕴含关系的直觉模糊推理仿真

Intuitionistic fuzzy inference emulator based on Mamdani implication relation

为了验证Mamdani直觉模糊推理的正确性,将模糊集中定义的Mamdani模糊关系进行直觉化扩展,从而定义了Mam-dani直觉模糊推理关系。通过Matlab绘制出Mamdani直觉模糊蕴涵关系的三维图像,包括蕴含关系的隶属度、非隶属度、犹豫度图像。利用该蕴含关系,通过具体实例仿真结果表明了该蕴含关系推理的正确性与有效性,并将单前件单规则推理推广到了多前件多规则推理。

To validate Mamdani intuitionistic fuzzy inference is correct.First,Mamdani fuzzy relation defined in fuzzy sets with intuition is expanded,that is to say to define Mamdani intuitionistic fuzzy reasoning relation.Moreover,Mamdani intuitionistic fuzzy implication relation three-dimensional image is drawed by Matlab,including membership,nonmembership,hesitation degree images of this implication relation.Finally,to use the implication relation,the correctness and validity of the implication relation inference is mearsured by a specific and typical instance emulation based on the implication relation,and the inference with one premise and one rule is extended to the inference with several premises and several rules.