We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces.

In this paper we introduce the class of n-normed sequences related to the p-absolutely summable sequence space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

We study some new strongly almost lacunary statistical A-convergent sequence space of order α defined by a Musielak-Orlicz function. We also give some inclusion relations between the newly introduced class of sequences with the spaces of strongly almost lacunary A-convergent sequence of order α. Moreover we have examined some results on Musielak-Orlicz function with respect to these spaces.

The sequence spaces c^{M), Co{M) and 1^{M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

We study the concept of density for sets of natural numbers in some lacunary Aconvergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus function. Morever we also study some results on the newly defined lacunary f -statistically A-convergent sequence spaces with respect to some Musielak-Orlicz function.