Search Results - "Carvalho de Barros, Laécio"
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Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral
Published in Information sciences (01-02-2020)“…In this manuscript we study integration and derivative theories for interactive fuzzy processes. These theories are based on the Fréchet derivative and the…”
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2
The memory effect on fractional calculus: an application in the spread of COVID-19
Published in Computational & applied mathematics (01-04-2021)“…Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. The main interest of this work is to…”
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3
On interactive fuzzy solutions for mechanical vibration problems
Published in Applied Mathematical Modelling (01-08-2021)“…•Solutions to vibration problems with interactive fuzzy numbers as initial conditions.•These are obtained by extending deterministic solutions via Zadeh and…”
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The Use of Triangular Norms in Epidemiological Models: A Comparative Study Using COVID-19 Data
Published in IEEE transactions on fuzzy systems (01-05-2023)“…In this manuscript we use triangular norms to model contact between susceptible and infected individuals in the susceptible-infected-recovered (SIR)…”
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5
On fuzzy solutions for partial differential equations
Published in Fuzzy sets and systems (16-05-2013)“…In this study we investigate heat, wave and Poisson equations as classical models of partial differential equations (PDEs) with uncertain parameters,…”
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6
Granular approximation of solutions of partial differential equations with fuzzy parameter
Published in Granular computing (Internet) (01-03-2018)“…Fuzzy graph formed by a collection of fuzzy rules approximate solutions of partial differential equations with imprecise parameters in the form of fuzzy…”
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7
Fractional derivatives as weighted average of historical values: an application to COVID-19 in Brazil
Published in C.Q.D. (28-09-2022)“…The memory effect is an interesting tool that can be seen in fractional differential equations. To show this clearly, in this paper we prove that the Caputo…”
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Solution to the Bessel differential equation with interactive fuzzy boundary conditions
Published in Computational & applied mathematics (01-02-2022)“…In this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly…”
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9
Solving interactive fuzzy initial value problem via fuzzy Laplace transform
Published in Computational & applied mathematics (01-02-2021)“…In this work, we present some properties of the fuzzy Laplace transform with the notion of linearly correlated differentiability also called L…”
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10
Fuzzy differential equations with interactive derivative
Published in Fuzzy sets and systems (15-02-2017)“…In this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions. This derivative considers possible local interactivity in…”
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Population growth model via interactive fuzzy differential equation
Published in Information sciences (01-05-2019)“…In this manuscript we study a fuzzy initial value problem (FIVP) which describes an autocorrelated evolutive process. For this, we use the F-correlated…”
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12
Fréchet derivative for linearly correlated fuzzy function
Published in Information sciences (01-04-2018)“…This article introduces the concept of linearly correlated Fréchet derivative for fuzzy processes. For linearly autocorrelated fuzzy functions, a practical…”
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13
Solutions of higher order linear fuzzy differential equations with interactive fuzzy values
Published in Fuzzy sets and systems (30-08-2021)“…In this study, we consider higher order linear differential equations with additional conditions (initial and/or boundary) given by interactive fuzzy numbers…”
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14
Banach spaces generated by strongly linearly independent fuzzy numbers
Published in Fuzzy sets and systems (01-08-2021)“…This article introduces the notion of strong linear independence (SLI) for a set of fuzzy numbers. Based on this notion, we prove that there exist isomorphisms…”
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15
Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions
Published in Fuzzy sets and systems (15-11-2021)“…In this article we propose a method to calculate the sum and difference of two interactive fuzzy numbers. These arithmetic operations are obtained by the sup-J…”
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16
Fuzzy fractional differential equations with interactive derivative
Published in Fuzzy sets and systems (15-09-2023)“…In this manuscript we present the concept of fuzzy fractional differential equation considering the fuzzy relationship of interactivity. We develop the theory…”
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17
A theory of calculus for A-correlated fuzzy processes
Published in Information sciences (01-08-2023)“…This article presents a new concept of calculus for fuzzy number-valued functions based on Zadeh's extension principle. More precisely, we propose a calculus…”
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18
On interactive fuzzy boundary value problems
Published in Fuzzy sets and systems (01-03-2019)“…In this paper we use the concept of interactivity between fuzzy numbers for the solution to a linear fuzzy boundary value problem (FBVP). We show that a…”
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The use of t-norms in mathematical models of epidemics
Published in 2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) (01-07-2013)“…We study different t-norms in epidemiological mathematical models. We explore the SI model, which encounter between individuals is originally modelled by the…”
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Conference Proceeding -
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Fuzzy stationary Schrödinger equation with correlated fuzzy boundaries
Published in Soft computing (Berlin, Germany) (01-02-2024)“…This article introduces the space of A-linearly correlated fuzzy complex numbers. Using this space, we study the stationary Schrödinger equation with boundary…”
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