Algorithm of arithmetical operations with fuzzy numerical data

Victor Bocharnikov and Sergey Sveshnikov

MPRA Paper from University Library of Munich, Germany

Abstract: In this article the theoretical generalization for representation of arithmetic operations with fuzzy numbers is considered. Fuzzy numbers are generalized by means of fuzzy measures. On the basis of this generalization the new algorithm of fuzzy arithmetic which uses a principle of entropy maximum is created. As example, the summation of two fuzzy numbers is considered. The algorithm is realized in the software "Fuzzy for Microsoft Excel".

Keywords: fuzzy measure (Sugeno), fuzzy integral (Sugeno), fuzzy numbers; arithmetical operations; principle of entropy maximum (search for similar items in EconPapers)
JEL-codes: C02 C13 C63 (search for similar items in EconPapers)
Date: 2007-09-01
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