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Generalized Fuzzy Differentiability with LU-parametric Representation

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Author Info

  • Luciano Stefanini

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

  • Barnabás Bede

    ()
    (Department of Mathematics, DigiPen Institute of Technology, Redmond,Washington, USA)

Abstract

In the present paper, we use a new generalization of the Hukuhara di¤erence and derivative for fuzzy-valued functions, and we study several properties of the new concepts in the setting of the LU-parametric representation of fuzzy numbers, as- sessed both from theoretical and computational points of view.

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File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_12_10.pdf
File Function: First version, 2012
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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 1210.

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Length: 25 pages
Date of creation: 2012
Date of revision: 2012
Handle: RePEc:urb:wpaper:12_10

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

Keywords: Fuzzy-valued function; Generalized Hukuhara di¤erentiability; Generalized fuzzy derivative; LU-parametric fuzzy number.;

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References

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  1. Luciano Stefanini, 2008. "A generalization of Hukuhara difference for interval and fuzzy arithmetic," Working Papers 0801, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
  2. Luciano Stefanini & Barnabas Bede, 2008. "Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations," Working Papers 0803, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
  3. Barnabás Bede & Luciano Stefanini, 2012. "Generalized Differentiability of Fuzzy-valued Functions," Working Papers 1209, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
  4. Luciano Stefanini & Barnabás Bede, 2012. "Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations," Working Papers 1208, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
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