TITLE:
Weighted (λ, μ)-Ideal Statistical Convergence and Strongly Weighted (λ, μ)-Ideal Convergence of Double Sequences of Fuzzy Numbers
AUTHORS:
Xue Feng
KEYWORDS:
Fuzzy Numbers, Ideal Statistical Convergence, Double Sequences of Fuzzy Numbers, Weighted
JOURNAL NAME:
Applied Mathematics,
Vol.13 No.1,
January
11,
2022
ABSTRACT: The paper aims to investigate different types of weighted ideal statistical convergence and strongly weighted ideal convergence of double sequences of fuzzy numbers. Relations connecting ideal statistical convergence and strongly ideal convergence have been investigated in the environment of the newly defined classes of double sequences of fuzzy numbers. At the same time, we have examined relevant inclusion relations concerning weighted (λ, μ)-ideal statistical convergence and strongly weighted (λ, μ)-ideal convergence of double sequences of fuzzy numbers. Also, some properties of these new sequence spaces are investigated.