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

Author

Gálvez, David ; Pino, José Luís

Author_Institution

Dipt. Estadistica e Investig. Operativa, Univ. of Seville, Seville, Spain

fYear

2009

fDate

14-17 June 2009

Firstpage

1

Lastpage

6

Abstract

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(D_x1,D_x2), 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).

Keywords

fuzzy set theory; microeconomics; partial differential equations; utility theory; Buckley-Feuring method; consumer fuzzy utility function; microeconomic utility theory; nonpolynomial fuzzy partial differential equation; Concrete; Differential equations; Fuzzy sets; Information processing; Microeconomics; Partial differential equations; Polynomials; Societies; Telephony; Utility theory;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Cincinnati, OH

Print_ISBN

978-1-4244-4575-2

Electronic_ISBN

978-1-4244-4577-6

Type

conf

DOI

10.1109/NAFIPS.2009.5156394

Filename

5156394