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Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales

 ISSN 0370-3908

GRANADOS, Carlos. Statistical convergence in measure for triple sequences of fuzzy-valued functions. []. , 45, 177, pp.1011-1021.   25--2022. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.1456.

In this paper, we define and extend the notions of two kinds of convergence in measure, these are inner and outer statistical convergence for triple sequences of fuzzy-valued measurable functions. Besides, we show that both kinds of convergence are equivalent in a finite measurable space. Additionally, we define and study the notion of statistical convergence in measure for triple sequences of fuzzy-valued measurable functions. In addition, we show and prove the statistical version of Egorov’s theorem for triple sequences of fuzzy-valued functions on a finite measure space.

: Triple sequence; Measure space; Egorov’s theorem; Outer and inner statistical convergence; Fuzzy-valued function.

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