Fractional difference double sequences of fuzzy numbers

2021 ◽  
Author(s):  
Pranav Sharma
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequences ◽  
Fractional Difference ◽  
Sequences Of Fuzzy Numbers

scholarly journals ROUGH CONVERGENCE OF DOUBLE SEQUENCES OF FUZZY NUMBERS

2020 ◽  
Vol 10 (4) ◽  
pp. 1335-1342
Author(s):  
Babaarslan Funda ◽  
◽  
A. Nïhal Tuncer ◽  
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequences ◽  
Sequences Of Fuzzy Numbers

scholarly journals Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Abdullah Alotaibi
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Approximation Theorem ◽  
Bernstein Operators ◽  
Double Sequences ◽  
Korovkin Type Approximation Theorem ◽  
Type Approximation ◽  
Functions Of Two Variables ◽  
Sequences Of Fuzzy Numbers ◽  
Bivariate Functions

We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where 0<γ1,γ2≤1. We establish an inclusion result and a theorem presenting a connection between these concepts. Moreover, we apply our new concept of weighted λ,μ-statistical convergence of order γ1,γ2 to prove Korovkin-type approximation theorem for functions of two variables in a fuzzy sense. Finally, an illustrative example is provided with the help of q-analogue of fuzzy Bernstein operators for bivariate functions which shows the significance of our approximation theorem.

Sign in / Sign up

Export Citation Format

Share Document