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Buckley-feuring solutions for non-polynomial fuzzy partial differential equations. Application to utility theory

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

This paper presents the natural extension of Buckley-Feuring method proposed in (Buckley and Feuring, 2002) for solving fuzzy partial differential equations (FPDE) in a non-polynomial relation, such as the operator phi(Dx 1, Dx 2), which maps to the quotient between both partials. The new assumptions and conditions proceedings from this consideration, have been developed for a concrete application: a new method for building consumer fuzzy utility functions from marginal rates of substitution (MRS). Finally, the consumer decision problem is tackled in its fuzzy mathematical programming form.

Published in:

Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on

Date of Conference:

20-24 Aug. 2009