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The purpose of this paper is to introduce some new sequence spaces of fuzzy numbers defined by lacunary ideal convergence using generalized difference matrix and Orlicz functions. We also study some algebraic and topological properties of these classes of sequences. Moreover, some illustrative examples are given in support of our results. [ABSTRACT FROM AUTHOR]

In this paper we define generalized statistical convergence for sequences of sets of order α, 0 < α ⩽ 1 in sense of Wijsman and study some basic properties of this concept. [ABSTRACT FROM AUTHOR]

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In this paper, we introduce the concepts of lacunary statistical τ- convergence, lacunary statistical τ-bounded and lacunary statistical τ-Cauchy for double sequences by using the double lacunary density in the framework of locally solid Riesz spaces. We also introduce the notion of S*/θ (τ)-convergence of double sequences in this setup which seems to be a quite new and interesting idea and prove some interesting results related to these notions. [ABSTRACT FROM AUTHOR]

The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce and study the notion of I-convergence of random variables via probabilistic norms. Furthermore, we introduce I-convergence in Lp space and establish some interesting results. [ABSTRACT FROM AUTHOR]