A generalization of Hukuhara difference for interval and fuzzy arithmetic

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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Year of publication:	2008
Authors:	Stefanini, Luciano
Institutions:	Facoltà di Economia, Università degli Studi di Urbino
Subject:	Fuzzy Arithmetic \| Interval Arithmetic \| Hukuhara difference \| Fuzzy Numbers

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Extent:	application/pdf
Series:	Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Notes:	Number 0801 13 pages
Classification:	C00 - Mathematical and Quantitative Methods. General ; C60 - Mathematical Methods and Programming. General ; C63 - Computational Techniques ; C88 - Other Computer Software ; D80 - Information and Uncertainty. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005558501