Fuzzy Solutions of the SIR Models using VIM

2022 ◽  
Author(s):  
Atimad Harir ◽  
Hassan El Harfi ◽  
Said Melliani ◽  
L. Saadia Chadli
Keyword(s):  
Fuzzy Solutions

scholarly journals Control solutions in mechatronics systems

2005 ◽  
Vol 18 (3) ◽  
pp. 379-394
Author(s):  
Radu-Emil Precup ◽  
Stefan Preitl
Keyword(s):  
Fuzzy Control ◽  
Control Systems ◽  
Third Order ◽  
Fuzzy Controllers ◽  
Real World Application ◽  
Conventional Solution ◽  
Extended Symmetrical Optimum Method ◽  
Theoretical Results ◽  
Iterative Feedback ◽  
Fuzzy Solutions

This paper presents control solutions dedicated to a class of controlled plants widely used in mechatronics systems, characterized by simplified mathematical models of second-order and third-order plus integral type. The conventional control solution is focused on the Extended Symmetrical Optimum method proposed by the authors in 1996. There are proposed six fuzzy control solutions employing PI-fuzzy controllers. These solutions are based on the approximate equivalence in certain conditions between fuzzy control systems and linear ones, on the application of the modal equivalence principle, and on the transfer of results from the continuous-time conventional solution to the fuzzy solutions via a discrete-time expression of the controller where Prof. Milic R. Stojic's book [1] is used. There is performed the sensitivity analysis of the fuzzy control systems with respect to the parametric variations of the controlled plant, which enables the development of the fuzzy controllers. In addition, the paper presents aspects concerning Iterative Feedback Tuning and Iterative Learning Control in the framework of fuzzy control systems. The theoretical results are validated by considering a real-world application.

Finding the fuzzy solutions of a general fully fuzzy linear equation system

2016 ◽  
Vol 30 (2) ◽  
pp. 921-933 ◽  
Author(s):  
Hale Gonce Kocken ◽  
Mehmet Ahlatcioglu ◽  
Inci Albayrak
Keyword(s):  
Linear Equation ◽  
Equation System ◽  
Linear Equation System ◽  
Fuzzy Solutions

On fuzzy solutions for partial differential equations

2013 ◽  
Vol 219 ◽  
pp. 68-80 ◽  
Author(s):  
Ana Maria Bertone ◽  
Rosana Motta Jafelice ◽  
Laécio Carvalho de Barros ◽  
Rodney Carlos Bassanezi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Fuzzy Solutions

On the Integrable Solution of a Class of Fuzzy Functional Equations

1997 ◽  
Vol 05 (01) ◽  
pp. 59-69
Author(s):  
P. V. Subrahmanyam ◽  
S. K. Sudarsanam
Keyword(s):  
Functional Equation ◽  
Existence Theorem ◽  
Representation Theorem ◽  
Functional Equations ◽  
Contraction Principle ◽  
Extension Principle ◽  
Integrable Solution ◽  
Deterministic Function ◽  
Castaing Representation ◽  
Fuzzy Solutions

This paper proves the existence of Lp solution to the fuzzy functional equation [Formula: see text] where a and y are fuzzy functions and h is a given deterministic function. This functional equation is fuzzified using Zadeh's extension principle and the existence theorem is proved using the contraction principle, Castaing representation theorem and Negoita and Ralescu's representation theorem. This supplements and earlier existence theorem we obtained for bounded fuzzy solutions.

scholarly journals Systems of implicit fractional fuzzy differential equations with nonlocal conditions

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3795-3822 ◽  
Author(s):  
Nguyen Son ◽  
Nguyen Dong
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Nonlocal Problem ◽  
Nonlocal Conditions ◽  
Generalized Metric Space ◽  
Generalized Metric ◽  
Vector Version ◽  
Fuzzy Solutions

In this paper, two types of fixed point theorems are employed to study the solvability of nonlocal problem for implicit fuzzy fractional differential systems under Caputo gH-fractional differentiability in the framework of generalized metric spaces. First of all, we extend Krasnoselskii?s fixed point theorem to the vector version in the generalized metric space of fuzzy numbers. Under the Lipschitz conditions, we use Perov?s fixed point theorem to prove the global existence of the unique mild fuzzy solution in both types (i) and (ii). When the nonlinearity terms are not Lipschitz, we combine Perov?s fixed point theorem with vector version of Krasnoselskii?s fixed point theorem to prove the existence of mild fuzzy solutions. Based on the advantage of vector-valued metrics and convergent matrix, we attain some properties of mild fuzzy solutions such as the boundedness, the attractivity and the Ulam - Hyers stability. Finally, a computational example is presented to demonstrate the effectivity of our main results.

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