Abstract

GRANADOS, Carlos. Statistical convergence in measure for triple sequences of fuzzy-valued functions. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2021, vol.45, n.177, pp.1011-1021.  Epub Feb 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.

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

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