40 research outputs found
ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES
In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical convergence in the corresponding intuitionistic fuzzy normed space
Sezgisel fuzzy normlu uzaylarda ℐ-lacunary istatiksel yakınsaklık
In this study, first, we investigate the notions of ℐ-lacunary statistical convergence and strongly ℐlacunary convergence with regards to the intuitionistic fuzzy norm (IFN for short) (μ,ν). Then, we
investigate relationships among this new concepts and make important observations about them.
Futhermore, we examine the relations among ℐ-lacunary statistical convergence and ℐ-statistical
convergence in terms of IFN (μ,ν) in the corresponding intuitionistic fuzzy normed space.Bu çalışmada, ilk olarak (μ,ν) sezgisel normuna göre ℐ-lacunary istatistiksel yakınsaklık ve kuvvetli ℐlacunary yakınsaklık kavramları tanımlandı. Daha sonra bu kavramlar arasındaki ilişkiler incelendi ve bu
kavramlar üzerine önemli gözlemler yapıldı. Bununla birlikte, ilgili sezgisel fuzzy normlu uzayda (μ,ν)
sezgisel normuna göre ℐ-lacunary istatistiksel yakınsaklık ile ℐ-istatistiksel yakınsaklık arasındaki ilişkiler incelendi
INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR
In this paper, we introduce and study the intuitionistic fuzzy -convergent difference sequence spaces and using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy -convergent difference sequence spaces and using by compact operator
Generalized s r I -statistical convergence in intuitionistic fuzzy normed linear space
The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in
(Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of
s
r
I
-statistical
convergence in IFNLS. An analogous proof of the open problem discussed above with respect to
s
r
I
-statistical convergence is
given. Also, we suggest an open problem regarding the completeness of the space with respect to this new convergence, whose
proof could open up a new area of research in nonlinear Functional Analysis in the setting of IFNLS