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A generalization of Hukuhara difference for interval and fuzzy arithmetic

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Author Info
Luciano Stefanini () (Department of Economics and Quantitative Methods, University of Urbino (Italy))

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Abstract

We propose a generalization of the Hukuhara difference. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy numbers, using their compact and convex level-cuts. Finally, a similar approach is seggested to attempt a generalization of division for real intervals and fuzzy numbers.

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File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_08_01.pdf
File Format: application/pdf
File Function: First version, 2008
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Publisher Info
Paper provided by University of Urbino Carlo Bo, Department of Economics in its series Working Papers with number 0801.

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Length: 13 pages
Date of creation: 2008
Date of revision: 2008
Handle: RePEc:urb:wpaper:08_01

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Web page: http://www.econ.uniurb.it/
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Related research
Keywords: Fuzzy Arithmetic; Interval Arithmetic; Hukuhara difference; Fuzzy Numbers.;

Find related papers by JEL classification:
C00 - Mathematical and Quantitative Methods - - General - - - General
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - 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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  1. 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, revised 2008. [Downloadable!]
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This page was last updated on 2009-11-17.

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