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01-11-2012 | Original Paper

A comparison index for interval ordering based on generalized Hukuhara difference

Authors: Maria Letizia Guerra, Luciano Stefanini

Published in: Soft Computing | Issue 11/2012

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Abstract

Interval methods is one option for managing uncertainty in optimization problems and in decision management. The precise numerical estimation of coefficients may be meaningless in real-world applications, because data sources are often uncertain, vague and incomplete. In this paper we introduce a comparison index for interval ordering based on the generalized Hukuhara difference; we show that the new index includes the commonly used order relations proposed in literature. The definition of a risk measure guarantees the possibility to quantify a worst-case loss when solving maximization or minimization problems with intervals.

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Title: A comparison index for interval ordering based on generalized Hukuhara difference
Authors: Maria Letizia Guerra
Luciano Stefanini
Publication date: 01-11-2012
Publisher: Springer-Verlag
Published in: Soft Computing / Issue 11/2012
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-012-0866-9

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