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A comparison index for interval ordering based on generalized Hukuhara difference

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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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Acknowledgments

This research was partially supported by the National Project PRIN (2008JN-WWBP_004): Models and Fuzzy Calculus for Economic and Financial Decisions, financed by the Italian Ministry of University.

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Authors and Affiliations

  1. Department of Mathematics, University of Bologna, Bologna, Italy

    Maria Letizia Guerra

  2. Department of Economics, Society and Politics, University of Urbino “Carlo Bo”, Urbino, Italy

    Luciano Stefanini

Authors
  1. Maria Letizia Guerra
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  2. Luciano Stefanini
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Correspondence to Maria Letizia Guerra.

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Guerra, M.L., Stefanini, L. A comparison index for interval ordering based on generalized Hukuhara difference. Soft Comput 16, 1931–1943 (2012). https://doi.org/10.1007/s00500-012-0866-9

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