模糊数列关于序β几乎理想λ_(r)-统计收敛和强几乎理想λ_(r)-收敛

Almost Idealλ_(r)-Statistical Convergence and Strongly Almost Idealλ_(r)-Convergence of β of Sequences of Fuzzy Numbers with Respect to the Orlicz Function

基于理想统计收敛的新途径,构建了λ_(r)统计收敛和几乎统计收敛的框架,分别定义了模糊数列关于序β几乎理想λ_(r)统计收敛和强几乎理想λ_(r)收敛,给出了模糊数列几乎理想λ_(r)统计收敛而非统计收敛的具体算例,说明了新定义的理想统计收敛条件更弱、范围更广.并研究了两种收敛的相关性质.同时,讨论了模糊数列空间Wβ(M,r,λ)和空间Sβ(λ),Sβ(M,r,λ)之间的包含关系,得到了更为广泛的模糊数列理想统计收敛和强理想收敛的数列空间.

Based on the new approach of ideal statistical convergence,theλ_(r)-statistical convergence and almost statistical convergence,respectively,defined the fuzzy sequence about orderβalmost idealλ_(r)-statistical convergence and strong almost idealλ_(r)-convergence.An example of almost idealλ_(r)-statistical convergence rather than statistical convergence shows that the new definition of ideal statistical convergence condition is weaker and wider.In addition,the relationship of the fuzzy sequence spaceWβ(M,r,λ),Sβ(λ)andSβ(M,r,λ)have been investigated,the more general fuzzy sequence of ideal convergence and strongly ideal convergence have been concluded.