Fibonacci lacunary statistical convergence in intuitionisticfuzzy normed linear spaces

In the thesis, firstly we give the notion of Fibonacci lacunary statistical convergence in intuitionistic fuzzy normed linear spaces. Then, we investigate this concept in intuitionistic fuzzy n-normed linear spaces which removes any ambiguity that could arise from the previously defined notion of the same. Some inclusion relations between the sets of Fibonacci statistically convergent and Fibonacci lacunary statistically convergent sequences are examined in an intuitionistic fuzzy n-normed linear space. We also define Fibonacci lacunary statistical Cauchy sequence in an intuitionistic fuzzy n-normed linear space and prove that it is equivalent to Fibonacci lacunary statistically convergent sequence.