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# Fuzzy real valued lacunary I-convergent sequences.

Applied Mathematics Letters (Impact Factor: 1.48). 03/2012; 25:466-470. DOI: 10.1016/j.aml.2011.09.037
Source: DBLP

ABSTRACT In this article, we introduce the concept of lacunary II-convergent sequence of fuzzy real numbers and study some basic properties.

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ABSTRACT: An ideal I is a family of subsets of positive integers ℕ which is closed under taking finite unions and subsets of its elements. In [8], Kostyrko et al., introduced the concept of ideal convergence as a sequence (x k ) of real numbers is said to be I-convergent to a real number ℓ, if for each ε>0 the set {k∈ℕ:|x k -ℓ|≥ε} belongs to I. The aim of this paper is to introduce and study the notion of λ-ideal convergence in intuitionistic fuzzy 2-normed space as a variant of the notion of ideal convergence. Also I λ -limit points and I λ -cluster points have been defined and the relation between them has been establish. Furthermore, Cauchy and I λ -Cauchy sequences are introduced and studied.
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