275 research outputs found

    New notions of triple ideal convergent on intuitionistic fuzzy normed spaces

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    In this paper, we introduce and study the notions of MI3(µ,v)(T), MI03(µ,v)(T), MI3(µ,v)(T, F) and MI03(µ,v)(T, F) for triple sequences in intuitionistic fuzzy normed space for the sequence. Furthermore, some topological properties are established on these spaces.Publisher's Versio

    On I_2-Cauchy double sequences in fuzzy normed spaces

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    In this paper, we investigate relationship between I_2-convergence and I_2-Cauchy double sequences in fuzzy normed spaces. After, we introduce the concepts of I*_2-Cauchy double sequences and study relationships between I_2-Cauchy and I*_2-Cauchy double sequences in fuzzy normed spaces

    ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES

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    In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical convergence in the corresponding intuitionistic fuzzy normed space

    On I_2​​ -convergence and I_2​​ -convergence of double sequences in fuzzy normed spaces

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    In this paper first, we investigate some properties of I2-convergence in fuzzy normed spaces. After, we study some relationships between I_2-convergence and I*_2-convergence of double sequences in fuzzy normed spaces

    Some new lacunary ff-statistical AA-convergent sequence spaces of order α\alpha

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    We study the concept of density for sets of natural numbers in some lacunary AA-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus function. Morever we also study some results on the newly defined lacunary ff-statistically AA-convergent sequence spaces with respect to some Musielak-Orlicz function.Comment: Conference paper. arXiv admin note: text overlap with arXiv:1506.0545
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