Abstract:
In this paper we introduce some new classesof double difference sequence spaces of fuzzy numbers.We study different topological properties of thesesequence spaces like completeness, solidity etc. Also weobtain some inclusion relation involving these sequencespaces.

Abstract:
In 2000, Kostyrko, Salat,and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces whereI is an ideal. The concept of I-convergence has a wide application in the field of Number Theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article we introduce the double sequence spaces and ,for a modulus function f and study some of the properties of these spaces.

Abstract:
In this aricle we introduce the notion of density of subsets of $ N imes N $. Using this concept we introduce the notion of statistically convergent double sequences and statistically Cauchy double sequences. The decomposition theorem is proved. The inclusion relations are obtained. We have shown that the bounded statistically convergent in Pringsheim's sense sequence space is not separable. A relation between strongly $ p $-Cesaro summability of double sequences and bounded statistically convergent double sequences is established.

Abstract:
The object of this paper is to introduce some new sequence spacesrelated with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals thatboth dominate and generate Banach limits and to establish some inclusionrelations.

Abstract:
The aim of this paper is to introduce and study a new concept of the fuzzy $I-$ convergent $Gamma^{2I(F)}_{(Delta,p)}$ defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined.

Abstract:
In this article we introduce the sequence spaces cI0(f), cI(f) and lI∞(f) for a modulus function f and study some of the properties of these spaces.

Abstract:
The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-normed spaces to be statistically Cauchy sequence in 2-normed spaces.