Research Article
On Statistical Convergence of Set Sequences in Fuzzy Anti-normed Linear Space
https://doi.org/10.21203/rs.3.rs-2961910/v2
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In this article, we have studied the fuzzy α− anti Wijsman convergence, fuzzy α−anti Wijsman statistical convergence, and fuzzy α−anti Hausdorrf statistical convergence where 0 < α < 1, of set sequences of non-empty closed sets in fuzzy anti-normed linear spaces (M, ψ, ⋄) with regard to the fuzzy anti norm(FAN) ψ. Furthermore, certain important theorems and examples based on the notion were presented.
t-conorm
fuzzy anti-normed linear space
fuzzy α− anti convergence
set sequences
Wijsman statistical convergence
2020 MSC: 40A05
46S40
No competing interests reported.
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