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The extension of Buckley-Feuring solutions for non-polynomial fuzzy partial differential equations. Application to microeconomics utility theory

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2 Author(s)
Galvez, D. ; Dipt. Estadistica e Investig. Operativa, Univ. of Seville, Seville, Spain ; Pino, J.L.

This paper presents the natural extension of Buckley-Feuring method proposed in for solving fuzzy partial differential equations (FPDE) in a nonpolynomial relation, such as the operator phi(Dx1,Dx2), which maps to the quotient between both partials. The new assumptions and conditions proceedings from this consideration given in this document, have been developed for a concrete application: a new method for building consumer fuzzy utility functions from marginal rates of substitution (MRS).

Published in:

Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American

Date of Conference:

14-17 June 2009