On Ideal Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces

Abstract

Abstract:In this work, our purpose is to introduce I−convergence of sequences of functions in intuitionistic fuzzy normed space by combining the I−convergence, the sequences of functions and the intuitionistic fuzzy normed spaces, and to investigate relations among concepts such as I−convergence, statistical convergence and the usual convergence of sequences of functions in intuitionistic fuzzy normed space.

Ideal convergence in 2-fuzzy 2-normed spaces

“…Karaku³ et al [26] dened statistical convergence in intuitionistic fuzzy normed spaces and Mursaleen et al [34] investigated statistical convergence of double sequences in intuitionistic fuzzy normed spaces. Quite recently, in [27,28], Karakaya et al dened and studied statistical and ideal convergence of sequences of functions in intuitionistic fuzzy normed spaces. The concept of statistical limit inferior and limit superior of sequences of fuzzy numbers found in [2,3].…”