LACUNARY STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY NORMED SPACES

LACUNARY STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS WITH RESPECT TO THE INTUITIONISTIC FUZZY NORMED SPACES

E. SavaƟ

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Abstract

In this paper, we introduce the notion I-statistical convergence and I- lacunary statistical convergence of a nonnegative real-valued Lebesque measurable func- tion in the interval (1;1) with respect to the intuitionistic fuzzy norm (; v), investigate their relationship and make some observations about these classes.

Keywords

Ideal, Filter, I-statistical convergence, I-lacunary statistical convergence, in- tuitionistic fuzzy normed spaces.