摘要
在标准模糊系统的基础上提出了以正规三角函数为基函数的一类模糊系统.通过采用数值分析中的余项与辅助函数方法,对该类模糊系统进行了逼近误差精度的分析,给出了从SISO到MISO的误差界公式.最后,指出了这些公式在模糊系统的理论研究与实际应用的意义.
This paper establishes the standard fuzzy system with partition of normal trigonometric membership function. Based on above standard fuzzy system, approximation error bounds problems are discussed by interpolation theory. Universal approximation error bounds of the fuzzy system from SISO to MISO are given and their relations are founded. The paper emploies error remainder term and auxiliary function in proving process for the first time. Finally, the significance of these formula is pointed for fuzzy systems theory and actual application.
出处
《大学数学》
2009年第4期37-44,共8页
College Mathematics
基金
中国博士后基金资助(CPSF/2005/037763)
大连海事大学引进人才基金资助(2006)
