基于Orlicz函数的模糊数列AI-统计收敛和强AI-收敛
AI-statistical convergence and strong AI-convergence of sequences of fuzzy numbers with respect to the Orlicz function
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摘要: 作为模糊数列理想统计收敛的推广，基于Orlicz函数和非负正则矩阵
A = \left\ a _nk \right\ ，提出和讨论了模糊数列A^I -统计收敛和强A^I -收敛的相关性质及2种收敛之间的关系，如果模糊数列x = \left\ x _k \right\ 强A^I -收敛，则A^I -统计收敛.Abstract: As an extension of the ideal statistical convergent sequence space of fuzzy number, based on Orlicz functions and a non-negative regular matrix A=\left\ a _nk \right\ , we defined and discussedA^I -statistical convergence and strongA^I -convergence of sequences of fuzzy numbers. In addition, the relationship of two different convergences are investigated. If a sequence of fuzzy number is stronglyA^I -convergence then it isA^I -statistically convergent.
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