Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers

O. R. Saavedra; H. H.D. Mangueira; Y. Chalco-Cano; H. Roman-Flores

doi:10.1016/j.ins.2007.02.047

Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers

O. R. Saavedra
, H. H.D. Mangueira
, Y. Chalco-Cano
, H. Roman-Flores

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

8 Citas (Scopus)

Resumen

This paper presents a proposal for decomposing large uncertainties associated with fuzzy numbers, which can be useful for solving non-linear fuzzy problems with crisp coefficients. The proposed procedure is based on a property of incremental fuzzy numbers and improves the quality of solution of the linearization process. The methodology is illustrated by some numeric studies.

Idioma original	Inglés
Páginas (desde-hasta)	4462-4473
Número de páginas	12
Publicación	Information Sciences
Volumen	177
N.º	20
DOI	https://doi.org/10.1016/j.ins.2007.02.047
Estado	Publicada - 15 oct. 2007

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title = "Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers",

abstract = "This paper presents a proposal for decomposing large uncertainties associated with fuzzy numbers, which can be useful for solving non-linear fuzzy problems with crisp coefficients. The proposed procedure is based on a property of incremental fuzzy numbers and improves the quality of solution of the linearization process. The methodology is illustrated by some numeric studies.",

keywords = "Fuzzy load flow, Fuzzy numbers, Newton's method, Non-linear fuzzy systems",

author = "Saavedra, \{O. R.\} and Mangueira, \{H. H.D.\} and Y. Chalco-Cano and H. Roman-Flores",

year = "2007",

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AU - Saavedra, O. R.

AU - Mangueira, H. H.D.

AU - Chalco-Cano, Y.

AU - Roman-Flores, H.

PY - 2007/10/15

Y1 - 2007/10/15

N2 - This paper presents a proposal for decomposing large uncertainties associated with fuzzy numbers, which can be useful for solving non-linear fuzzy problems with crisp coefficients. The proposed procedure is based on a property of incremental fuzzy numbers and improves the quality of solution of the linearization process. The methodology is illustrated by some numeric studies.

AB - This paper presents a proposal for decomposing large uncertainties associated with fuzzy numbers, which can be useful for solving non-linear fuzzy problems with crisp coefficients. The proposed procedure is based on a property of incremental fuzzy numbers and improves the quality of solution of the linearization process. The methodology is illustrated by some numeric studies.

KW - Fuzzy load flow

KW - Fuzzy numbers

KW - Newton's method

KW - Non-linear fuzzy systems

UR - https://www.scopus.com/pages/publications/34447530494

U2 - 10.1016/j.ins.2007.02.047

DO - 10.1016/j.ins.2007.02.047

M3 - Article

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SP - 4462

EP - 4473

JO - Information Sciences

JF - Information Sciences

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ER -

Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers

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