| 一类关于正规三角函数基的标准模糊系统逼近误差公式的讨论 |
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| 引用本文： | 陈刚,王海晶. 一类关于正规三角函数基的标准模糊系统逼近误差公式的讨论[J]. 大学数学, 2009, 25(4) |
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| 作者姓名： | 陈刚 王海晶 |
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| 作者单位： | 大连海事大学,应用数学系,大连,116026 |
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| 基金项目： | 中国博士后基金资助，大连海事大学引进人才基金 |
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| 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.
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| 关 键 词： | 标准模糊系统 逼近误差界 正规三角函数模糊划分 正规三角函数模糊基函数 |
Discussion to Standard Fuzzy Systems with Normal Trigonometric Membership Functions as Basic Functions |
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| CHEN Gang,WANG Hai-jing. Discussion to Standard Fuzzy Systems with Normal Trigonometric Membership Functions as Basic Functions[J]. College Mathematics, 2009, 25(4) |
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| Authors: | CHEN Gang WANG Hai-jing |
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| Abstract: | 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. |
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| Keywords: | standard fuzzy systems approaching error bounds trigonometric fuzzy partition trigonometric fuzzy basic functions |
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