Sequences of fuzzy star-shaped numbers

$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers

In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.

Nonlinear-shaped Approximation of Fuzzy Numbers

A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with Lp Metric

and Applied Analysis 3 Lemma 12. Let u ∈ S, then the following properties hold: (1) ker(u) ⊂ [u], (2) for anym ∈ ker(u), u−?̂? exists, and for any α ∈ [0, 1], one has [u − ?̂?] α = [u] α − {m} , [u + ?̂?] α = [u] α + {m} , (7) (3) for anym ∈ ker(u), u − ?̂? ∈ S 0 , (4) if {mk} ⊂ R converges to m0 ∈ R, then {?̂?k} converges to ?̂?0 in (S, dp). Proof. (1) Let m ∈ ker(u). By Definition 5, we know that f...

I2-Cauchy Double Sequences of Fuzzy Numbers

In this paper, we introduce the concepts of I2-Cauchy, I∗ 2 -Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N× N.

(A, p)-summable sequences of fuzzy numbers

We introduce the the classes of strongly V F λ (A, p)-summable sequences of fuzzy numbers and give some relations between these classes. We also give a natural relationship between strongly V F λ (A, p)convergence of sequences of fuzzy numbers and strongly S λ (A)-statistical convergence of sequences of fuzzy numbers.