| 模糊系统中方形分片线性函数依K-积分模的泛逼近性 |
| |
| 引用本文： | 段晨霞,王贵君.模糊系统中方形分片线性函数依K-积分模的泛逼近性[J].天津师范大学学报(自然科学版),2012,32(3):1-5. |
| |
| 作者姓名： | 段晨霞 王贵君 |
| |
| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 首先引入方形分片线性函数和K-拟可加积分的概念,应用诱导算子及积分转换定理证明了方形分片线性函数在K-积分模意义下对一类可积函数的泛逼近性.该结果表明:模糊系统中方形分片线性函数对连续函数的逼近能力可以推广为对一般可积系统的逼近能力.
|
| 关 键 词： | 方形分片线性函数 K-拟可加积分 ^μ-可积函数 K-积分模 泛逼近性 |
Universal approximation of square pricewise linear functions in K-integral norms in fuzzy system |
| |
| DUAN Chen-xia
,
WANG Gui-jun.Universal approximation of square pricewise linear functions in K-integral norms in fuzzy system[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(3):1-5. |
| |
| Authors: | DUAN Chen-xia WANG Gui-jun |
| |
| Institution: | College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
| |
| Abstract: | The concepts of square pricewise linear function and K-quasi-additive integral are introduced.By using induced operator and theorem of integral transformation,it is proved that square pricewise linear functions possess universal approximation for a class of integrable functions in the sense of K-integral norm.The results show that the approximation capability of square pricewise linear functions for continuous functions can be extended to general integrable systems. |
| |
| Keywords: | square pricewise linear functions K-quasi-additive integral μ-integrable functions K-integral norm universal approximation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
