AI-statistical convergence and strong AI-convergence of sequences of fuzzy numbers with respect to the Orlicz function

FENG Xue; GONG Zeng-tai

doi:10.7540/j.ynu.20190167

FENG Xue, GONG Zeng-tai. AI-statistical convergence and strong AI-convergence of sequences of fuzzy numbers with respect to the Orlicz function[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(1): 6-13. DOI: 10.7540/j.ynu.20190167

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A^I-statistical convergence and strong A^I-convergence of sequences of fuzzy numbers with respect to the Orlicz function

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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 discussed A^I-statistical convergence and strong A^I-convergence of sequences of fuzzy numbers. In addition, the relationship of two different convergences are investigated. If a sequence of fuzzy number is strongly A^I-convergence then it is A^I-statistically convergent.

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AI-statistical convergence and strong AI-convergence of sequences of fuzzy numbers with respect to the Orlicz function

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A^I-statistical convergence and strong A^I-convergence of sequences of fuzzy numbers with respect to the Orlicz function