巩增泰, 张璐. 模糊数值函数的统计收敛,一致统计收敛及等度统计收敛[J]. 云南大学学报(自然科学版), 2011, 33(4): 383-388, .
引用本文: 巩增泰, 张璐. 模糊数值函数的统计收敛,一致统计收敛及等度统计收敛[J]. 云南大学学报(自然科学版), 2011, 33(4): 383-388, .
GONG Zeng-tai, ZHANG Lu. The statistical convergence,uniformly statistical convergence and equi-statistical convergence for fuzzy-number-valued functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(4): 383-388, .
Citation: GONG Zeng-tai, ZHANG Lu. The statistical convergence,uniformly statistical convergence and equi-statistical convergence for fuzzy-number-valued functions[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(4): 383-388, .

模糊数值函数的统计收敛,一致统计收敛及等度统计收敛

The statistical convergence,uniformly statistical convergence and equi-statistical convergence for fuzzy-number-valued functions

  • 摘要: 在引入模糊数值函数统计收敛,一致统计收敛,等度统计收敛等概念的基础上,讨论了它们之间的相互关系以及其水平截函数之间的关系.在测度有限的情况下,得到了模糊数值函数统计收敛的Egorov定理和勒贝格定理.

     

    Abstract: Based on the concepts of statistical convergence,uniformly statistical convergence and equi-statistical convergence of fuzzy-number-valued functions proposed in this paper,the relationships between various kinds of statistical convergence for fuzzy-number-valued functions and which α-level functions are discussed.In addition,the Egorov and Lebesuge theorems for fuzzy-number-valued functions are obtained in a finite measure set.

     

/

返回文章
返回