scholarly journals Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind

2011 ◽  
Author(s):  
Lucian Coroianu ◽  
Sorin G. Gal ◽  
Barnabas Bede
Keyword(s):  
Fuzzy Numbers ◽  
Bernstein Operators

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.

Approximation of fuzzy numbers by max-product Bernstein operators

2014 ◽  
Vol 257 ◽  
pp. 41-66 ◽  
Author(s):  
Lucian Coroianu ◽  
Sorin G. Gal ◽  
Barnabás Bede
Keyword(s):  
Fuzzy Numbers ◽  
Bernstein Operators

Improved five-factor Altman evaluation model credit about the enterprise with economic indicators as fuzzy numbers

2020 ◽  
Vol 7 (1) ◽  
pp. 72-83
Author(s):  
Alevtina Yu. Shatalova ◽  
◽  
Igor V. Shevchenko ◽  
Boureima Bamadio ◽  
Konstantin A. Lebedev ◽  
...  
Keyword(s):  
Fuzzy Numbers ◽  
Evaluation Model ◽  
Economic Indicators

A study on generalized quadrilateral fuzzy numbers

2020 ◽  
Vol S (1) ◽  
pp. 295-298
Author(s):  
Stephen Dinagar D. ◽  
Manvizhi M.
Keyword(s):  
Fuzzy Numbers

Totally Symmetric Type-2 Triangular Fuzzy Numbers

2018 ◽  
Vol 9 (11) ◽  
pp. 1717-1727
Author(s):  
Ajay Minj ◽  
Pathinathan T.
Keyword(s):  
Fuzzy Numbers ◽  
Triangular Fuzzy Numbers

scholarly journals Modification of the Logistic Map Using Fuzzy Numbers with Application to Pseudorandom Number Generation and Image Encryption

Entropy ◽  
2020 ◽  
Vol 22 (4) ◽  
pp. 474 ◽  
Author(s):  
Lazaros Moysis ◽  
Christos Volos ◽  
Sajad Jafari ◽  
Jesus M. Munoz-Pacheco ◽  
Jacques Kengne ◽  
...  
Keyword(s):  
Lyapunov Exponent ◽  
Image Encryption ◽  
Fuzzy Numbers ◽  
Statistical Tests ◽  
Logistic Map ◽  
Simple Rule ◽  
Pseudorandom Number ◽  
Bifurcation Diagrams ◽  
Triangular Numbers ◽  
Pseudorandom Number Generation

A modification of the classic logistic map is proposed, using fuzzy triangular numbers. The resulting map is analysed through its Lyapunov exponent (LE) and bifurcation diagrams. It shows higher complexity compared to the classic logistic map and showcases phenomena, like antimonotonicity and crisis. The map is then applied to the problem of pseudo random bit generation, using a simple rule to generate the bit sequence. The resulting random bit generator (RBG) successfully passes the National Institute of Standards and Technology (NIST) statistical tests, and it is then successfully applied to the problem of image encryption.

Image Micro-pattern Analysis Using Fuzzy Numbers

2012 ◽  
Author(s):  
Raissa T. Vieira ◽  
Carlos Eduardo de Oliveira Chierici ◽  
Carolina T. Ferraz ◽  
Adilson Gonzaga
Keyword(s):  
Fuzzy Numbers ◽  
Pattern Analysis ◽  
Micro Pattern
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