基于三角形隶属函数输入的Mamdani模糊系统的混沌遗传算法

Chaotic genetic algorithm of Mamdani fuzzy system based on triangle membership function

基于单值模糊化、乘积推理机、中心平均解模糊化和三角形隶属函数,获得了Mamdani模糊系统的解析表示.通过混沌映射产生混沌随机序列或伪随机序列的方法给出了模糊系统的适应值函数与误差函数,并通过对系统参数进行迭代、更新个体和逐步优化设计出单输入单输出Mamdani模糊系统的混沌遗传算法.

The analytic representation of Mamdani fuzzy system is first obtained through the single value fuzzifier,product inference engine,center average defuzzifier and triangle membership functions.Secondly,it gives the fitness function and error function of fuzzy system by the method of chaotic random sequence or pseudo-random sequence which the chaotic map generates.Finally,through iteration,update and optimization on system parameters,the chaotic genetic algorithm is designed according to the single input-single output Mamdani fuzzy system.