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Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations

Author

Listed:
  • 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

Our paper "Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations", appeared in Nonlinear Analysis 71 (2009), contains some imprecisions. In this note we correct them and give few new results on the topic.

Suggested Citation

  • 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.
  • Handle: RePEc:urb:wpaper:12_08
    as

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    File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_12_08.pdf
    File Function: First version, 2012
    Download Restriction: no

    References listed on IDEAS

    as
    1. Luciano Stefanini & Maria Letizia Guerra, 2007. "On Fuzzy Arithmetic Operations: Some Properties and Distributive Approximations," Working Papers 0703, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    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. 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.
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    Cited by:

    1. Luciano Stefanini & Barnabás Bede, 2012. "Generalized Fuzzy Differentiability with LU-parametric Representation," Working Papers 1210, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
    2. 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.

    More about this item

    Keywords

    Generalized Fuzzy Derivative; Interval Differential Equations; Fuzzy Differential Equations; LU-Parametric Fuzzy Numbers; Fuzzy Arithmetic.;

    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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