基于Orlicz函数及强Pre-Cauchy收敛的模糊数列空间

On sequence spaces of fuzzy numbers based on Orlicz functions and strongly Pre-Cauchy convergence

作为统计收敛模糊数列空间的推广,基于Orlicz函数,在义模糊数列强Pre-Cauchy收敛的基础上,提出并研究模糊数列空间W(M,C, p)。同时,讨论模糊数列空间W(M,C, p)与统计Pre-Cauchy收敛的模糊数列空间S(C)之间的包含关系。

As an extension of the statistical convergent sequence space of fuzzy numbers,the sequence spaces of fuzzy numbers W(M,C,p)based on Orlicz functions and strongly Pre-Cauchy convergence are defined and discussed.In addition,the relationship between strongly Pre-Cauchy convergence and statistical Pre-Cauchy convergence.