Some classes of ideal convergent difference sequence spaces of fuzzy numbers defined by Orlicz function
2014
scientific article
english
- ideal
- I-convergence
- fuzzy number
- normal space
- symmetric space
- difference space
EN 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 [25], Kostyrko et. al introduced the concept of ideal convergence as a sequence (xk) of real numbers is said to be I-convergent to a real number l, if for each Ɛ > 0 the set {k ∈ N : |xk - l| ≥ Ɛ} belongs to I. In this article we introduce the concept of ideal convergent sequence of fuzzy numbers using difference operator and Orlicz functions and study their basic facts. Also we investigate the different algebraic and topological properties of these classes of sequences.
45 - 63
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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