Abstract
In this article, we introduce the intuitionistic fuzzy Zweier I-convergent double sequence spaces 2Z(μ,ν)I(f) and 2Z0(μ,ν)I(f) defined by modulus function and study the fuzzy topology on the said spaces.
Highlights
Introduction and preliminariesAfter the pioneering work of Zadeh (1965), a huge number of research papers have been appeared on fuzzy theory and its applications as well as fuzzy analogues of the classical theories
Fuzzy set theory is a powerful hand set for modelling uncertainty and vagueness in various problems arising in field of science and engineering
It has a wide range of applications in various fields: population dynamics (Barros, Bassanezi, & Tonelli, 2000), chaos control (Fradkov & Evans, 2005), computer programming (Giles, 1980), nonlinear dynamical system (Hong & Sun, 2006), etc
Summary
Introduction and preliminariesAfter the pioneering work of Zadeh (1965), a huge number of research papers have been appeared on fuzzy theory and its applications as well as fuzzy analogues of the classical theories. A sequence x = (xk) is said to be convergent to L ∈ X with respect to the intuitionistic fuzzy norm ( , ) if, for every ε > 0 and t > 0, there exists k0 ∈ N such that μ(xk − L, t) > 1 − ε and ν(xk − L, t) < ε for all k ≥ k0.
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