Sezgisel fuzzy n-normlu uzaylarda fibonacci lacunary istatistiksel yakınsalık

Abstract

This master thesis includes of five chapters. In the first section, the studies on summability theory are mentioned. In the second section, some noteworthy notations are given. In the third section, the concept of Fibonacci lacunary statistical convergence in intuitionistic fuzzy normed linear spaces (IFNS) is examined. Also, a new concept, that is, Fibonacci lacunary statistical completeness is given and it is shown that every IFNS is Fibonacci lacunary statistically complete. In the fourth section, Fibonacci lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces (IFnNS) is given. Some inclusion relations between Fibonacci statistically convergent and Fibonacci lacunary statistically convergent sequences in IFnNS are examined. Also, Fibonacci lacunary statistical Cauchy sequence in an IFnNS is defined and it is shown that Fibonacci lacunary statistical Cauchy sequence is equivalent to Fibonacci lacunary statistically convergent sequence in IFnNS.