Representing fuzzy numbers for fuzzy calculus

Luciano Stefanini () and Laerte Sorini ()

No 702, Working Papers from University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini

Abstract: In this paper we illustrate the LU representation of fuzzy numbers and present an LU-fuzzy calculator, in order to explain the use of the LU-fuzzy model and to show the advantage of the parametrization. The model can be applied either in the level-cut or in generalized LR frames. The hand-like fuzzy calculator has been developed for the MSWindows platform and produces the basic fuzzy calculus: the arithmetic operations (scalar multiplication, addition, subtraction, multiplication, division) and the fuzzy extension of many univariate functions (exponential, logarithm, power with numeric or fuzzy exponent, sin, arcsin, cos, arccos, tan, arctan, square root, Gaussian, hyperbolic sinh, cosh, tanh and inverses, erf and erfc error functions, cumulative standard normal distribution).

Keywords: Fuzzy Sets; LU-fuzzy Calculator; Fuzzy Calculus; Parametric LU represemtation (search for similar items in EconPapers)
JEL-codes: C00 C60 C63 C88 D80 (search for similar items in EconPapers)
Pages: 10 pages
Date: 2007, Revised 2007
New Economics Papers: this item is included in nep-cmp
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http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_07_02.pdf First version, 2007 (application/pdf)

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