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

Authors:
O. R. Saavedra;H. H. D. Mangueira;Y. Chalco-Cano;H. Roman-Flores
Affiliations:
Power System Group, Department of Electrical Engineering, Federal University of Maranhão, São Luís, MA, Brazil;Power System Group, Department of Electrical Engineering, Federal University of Maranhão, São Luís, MA, Brazil;Department of Mathematics, Universidad de Tarapacá, Arica, Chile;Department of Mathematics, Universidad de Tarapacá, Arica, Chile
Venue:
Information Sciences: an International Journal
Year:
2007

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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.