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Representing fuzzy numbers for fuzzy calculus

Author

Listed:
  • 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).

Suggested Citation

  • Luciano Stefanini & Laerte Sorini, 2007. "Representing fuzzy numbers for fuzzy calculus," Working Papers 0702, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    • Handle: RePEc:urb:wpaper:07_02
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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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    References listed on IDEAS

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    1. Stefanini, Luciano & Sorini, Laerte & Guerra, Maria Letizia, 2006. "Simulation of fuzzy dynamical systems using the LU-representation of fuzzy numbers," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 638-652.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Fuzzy Sets; LU-fuzzy Calculator; Fuzzy Calculus; Parametric LU represemtation;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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