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

Department of Mathematics

Universidade Federal do Maranhão
Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	4462-4473
Number of pages	12
Journal	Information Sciences
Volume	177
Issue number	20
DOIs	https://doi.org/10.1016/j.ins.2007.02.047
State	Published - 15 Oct 2007

Keywords

Fuzzy load flow
Fuzzy numbers
Newton's method
Non-linear fuzzy systems

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10.1016/j.ins.2007.02.047

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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",

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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

AN - SCOPUS:34447530494

SN - 0020-0255

VL - 177

SP - 4462

EP - 4473

JO - Information Sciences

JF - Information Sciences

IS - 20

ER -

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

Abstract

Keywords

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