Abstract: In the present paper,
we introduce and study the concepts ofI-convergence, the generalized I-convergence which we call convergence of sequences in fuzzy
normed linear spaces. We also present some fundamental theorems related to these
ideas. Later on we defined I-limit points, I-cluster
points of sequences in fuzzy normed linear spaces and investigate some results
related to the sets of all ordinary limit points, I-limit points and I-cluster
points.
Keywords and phrases: fuzzy numbers, fuzzy
normed linear spaces, I-convergence,convergence, I-Cauchy
sequence, I-limit points and I-cluster
points.
