Adapted Fuzzy Integral: An Application in the Finite Element Method

D. SÁNCHEZ; L.T. BASSANI; L.C. BARROS; E. ESMI

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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Adapted Fuzzy Integral: An Application in the Finite Element Method

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Author(s):	D. SÁNCHEZ ; L.T. BASSANI ^[2] ; L.C. BARROS ^[3] ; E. ESMI ^[4] Total Authors: 4
Document type:	Journal article
Source:	TEMA (São Carlos); v. 19, n. 1, p. 147-160, 2018-01-00.
Abstract
ABSTRACT In this paper we study and define an adapted fuzzy integral, based on the Sugeno integral. Moreover, we present a numerical integration formula which approximates the value of the adapted fuzzy integral. Thus, we prove that the Riemann integral and the adapted fuzzy integral are equivalent for power functions. Next, we apply the formula proposed in the numerical integration, required in the finite element method, to obtain a numerical solution of a boundary value problem for the one-dimensional Poisson equation. Finally, we observed better results of the approximate solution obtained in the example with the use of our formula when compared with the simple trapezoidal rule. (AU)

FAPESP's process:	16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers
Grantee:	Estevão Esmi Laureano
Support Opportunities:	Regular Research Grants

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