A generalization of Hukuhara difference for interval and fuzzy arithmetic

Luciano Stefanini ()

No 801, Working Papers from University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini

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.

Keywords: Fuzzy Arithmetic; Interval Arithmetic; Hukuhara difference; Fuzzy Numbers. (search for similar items in EconPapers)
JEL-codes: C00 C60 C63 C88 D80 (search for similar items in EconPapers)
Pages: 13 pages
Date: 2008, Revised 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_08_01.pdf First version, 2008 (application/pdf)

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