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Monitoring multidimensional phenomena with a multicriteria composite performance interval approach

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  • Ana Garcia-Bernabeu
  • Adolfo Hilario-Caballero

Abstract

In the last two decades, composite indicators' construction to measure and compare multidimensional phenomena in a broad spectrum of domains has increased considerably. Different methodological approaches are used to summarize huge data sets of information in a single figure. This paper proposes a new approach that consists of computing a multicriteria composite performance interval based on different aggregation rules. The suggested approach provides an additional layer of information as the performance interval displays a lower bound from a non-compensability perspective, and an upper bound allowing for full-compensability. The outstanding features of this proposal are: (i) a distance-based multicriteria technique is taken as the baseline to construct the multicriteria performance interval (ii) the aggregation of distances/separation measures is made using particular cases of Minkowski's $L_p$ metrics; (iii) the span of the multicriteria performance interval can be considered as a sign of the dimensions or indicators balance.

Suggested Citation

  • Ana Garcia-Bernabeu & Adolfo Hilario-Caballero, 2021. "Monitoring multidimensional phenomena with a multicriteria composite performance interval approach," Papers 2107.08393, arXiv.org.
    • Handle: RePEc:arx:papers:2107.08393
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