In this paper, we have defined rough statistical convergence in intuitionistic fuzzy normed spaces which is an useful characterization the field of convergence. We proved some properties related to provides new functional tools situation uncertainty like spaces. Further, established relationship between set limit points and cluster statistically convergent sequences these

in this paper, the gradual real numbers are considered and the notion of the gradual normed linear space is given. also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a locally convex space, in classical sense. so the results in locally convex spaces can be translated in gradual normed linear spaces. finally, we give an examp...

The main purpose of this article is to introduce and study some new spaces I-convergence triple sequences in intuitionistic fuzzy normed space defined by compact operator i.e 3SI (μ,ν)(T ) 3SI0(μ,ν)(T examine fundamental properties, topology verify inclusion relations lying under these spaces.

In this paper, we study the concept of statistical convergence on L?fuzzy normed spaces. Then give a useful characterization for statistically convergent sequences. Furthermore, illustrate that our method is more general than usual

In this paper, concept of fuzzy continuous operator, bounded linear operator are introduced in strong [Formula: see text]-b-normed spaces and their relations studied. Idea norm is developed completeness BF(X,Y) established.

On $\mathscr{L}-$ fuzzy normed spaces, which is the generalization of notion lacunary statistical convergence for double sequences a convergence, are studied and developed in this paper. In addition, definitions Cauchy completeness related theorems given on spaces. Also, relationship Cauchyness boundedness with respect to norm shown.

We apply the Radu–Miheţ method derived from an alternative fixed-point theorem with a class of matrix-valued fuzzy controllers to approximate fractional Volterra integro-differential equation ψ-Hilfer derivative in k-normed spaces obtain approximation for this type equation.

Notions of betweenness and indiguishability play important roles in the problems of pattern recognition, process identi cation and modelling based on metric spaces machinery. The situation complicates if these two concepts should be applied in real world when a system designer is always confronted with uncertainty about systems and signals. To overcome at least a part of di culties the authors ...

It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is complete.

In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+ y, z + w) + f(x − y, z − w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-d...