A comparison index for interval ordering based on generalized Hukuhara difference |
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Authors: | Maria Letizia Guerra Luciano Stefanini |
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Affiliation: | 1. Department of Mathematics, University of Bologna, Bologna, Italy 2. Department of Economics, Society and Politics, University of Urbino “Carlo Bo”, Urbino, Italy
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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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