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Representing fuzzy numbers for fuzzy calculus

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Author Info

  • Luciano Stefanini

    ()
    (Department of Economics, Università di Urbino "Carlo Bo")

  • Laerte Sorini

    ()
    (Department of Economics, Università di Urbino "Carlo Bo")

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).

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File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_07_02.pdf
File Function: First version, 2007
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Bibliographic Info

Paper provided by University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini in its series Working Papers with number 0702.

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Length: 10 pages
Date of creation: 2007
Date of revision: 2007
Handle: RePEc:urb:wpaper:07_02

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Web page: http://www.econ.uniurb.it/
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Related research

Keywords: Fuzzy Sets; LU-fuzzy Calculator; Fuzzy Calculus; Parametric LU represemtation;

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