The purpose of this article is to research the concept Fibonacci lacunary ideal convergence double sequences in intuitionistic fuzzy normed linear spaces (IFNS). Additionally, a new concept, called convergence, examined. Also, I?-limit points and I?-cluster for IFNS have been defined significant results given. Cauchy I?-Cauchy are worked.

We show that if f is locally in L log logL then the lacunary spherical means converge almost everywhere. The argument given here is a model case for more general results on singular maximal functions and Hilbert transforms along plane curves [6].

Using the concept of Orlicz function and uncertainty theory, some new class lacunary convergent sequences defined by functions have been introduced with convergence concepts in this paper. Some topological properties sequence spaces along inclusion relations investigated.