As a generalization of fuzzy sets , Atanassov [14] introduced and studied the concept of intuitionistic fuzzy sets park[11] using the idea of intuitionistic fuzzy sets defined the notion of intuionistic fuzzy metric spaces with the help of continuous t-norm and continuous t co-norm as a generalization of fuzzy metric space due to George & veeramani [6] had showed that every metric induces an in...

The aim of this study is to introduce the concept of intuitionistic fuzzy (left, right) hyperideal in intuitionistic fuzzy semihypergroup based on the concept of intuitionistic fuzzy space as a direct generalization of the concept of fuzzy ideals in fuzzy semigroups, through the new approach of fuzzy space introduced by Dib and fuzzy hypergroup introduced by Fathi. A relationship between the in...

We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary sufficient Tauberian conditions under which convergence IFNS follows from their summability. This study reveals also results for some known summation methods the special cases.

The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approximation sets in α-n-normed space.

moslehian  and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...

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, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend to subrings. Further, study algebraic nature direct product establish examine some imperative properties such products. also provide essential operations specially subset, complement intersection relating Then, relation between characteristic function