scholarly journals Transform Group of Monotonic Functions with the Same Monotonicity on [ $$-$$ - 1, 1] and Operations of Fuzzy Numbers

2015 ◽  
Vol 2 (3) ◽  
pp. 281-291 ◽  
Author(s):  
Si-cong Guo ◽  
Ying Zhao
Keyword(s):  
Fuzzy Numbers ◽  
Monotonic Functions

scholarly journals An Extended Analytical Approach to Evaluating Monotonic Functions of Fuzzy Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Arthur Seibel ◽  
Josef Schlattmann
Keyword(s):  
Mathematical Models ◽  
Analytical Approach ◽  
Fuzzy Numbers ◽  
Parameter Uncertainties ◽  
Monotonic Functions

This paper presents an extended analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers. The approach is based on a parametricα-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

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

An Interesting Class of Monotonic Functions

1909 ◽  
Vol 16 (1) ◽  
pp. 4-9
Author(s):  
Arthur R. Schweitzer
Keyword(s):  
Monotonic Functions ◽  
Interesting Class

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.

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