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Deriving the weights for aggregating judgments in a multi-group problem: an application to curriculum development in entrepreneurship

Author

Listed:
  • Jahangir Wasim

    (Heriot-Watt University)

  • Vijay Vyas

    (University of Portsmouth)

  • Pietro Amenta

    (University of Sannio)

  • Antonio Lucadamo

    (University of Sannio)

  • Gabriella Marcarelli

    (University of Sannio)

  • Alessio Ishizaka

    (NEOMA Business School)

Abstract

In group decisions, two issues need to be tackled: weighting opinions of different decision-makers and aggregating their evaluations. Many group aggregation techniques analyse these issues. These approaches can be correctly applied only if the weights assigned to all decision-makers are available. Unfortunately, there are situations where such weights are unavailable or incomplete, the negotiation required to better define them is not possible or decision-makers are unwilling to revise their judgments. These situations could pose a critical problem for the correct application of aggregation procedures. This problem is exaggerated if there are more than one group of decision-makers. In this paper, we present a new algorithm based on the Frobenius norm that considers the choice of the weights in aggregating judgments in a non-negotiable multi-group problem. This approach facilitates the computation of several sets of weights simultaneously, showing the roles played by each decision-maker and by each group in defining the global priority. To illustrate the method, we apply it in designing a new curriculum in entrepreneurship based on an entrepreneurial learning approach informed by perceptions of three stakeholders: entrepreneurship educators, entrepreneurs and entrepreneurship students. Data is collected by pairwise comparison within the analytic hierarchy process and is aggregated using our proposed approach.

Suggested Citation

  • Jahangir Wasim & Vijay Vyas & Pietro Amenta & Antonio Lucadamo & Gabriella Marcarelli & Alessio Ishizaka, 2023. "Deriving the weights for aggregating judgments in a multi-group problem: an application to curriculum development in entrepreneurship," Annals of Operations Research, Springer, vol. 326(2), pages 853-877, July.
    • Handle: RePEc:spr:annopr:v:326:y:2023:i:2:d:10.1007_s10479-022-04649-9
    DOI: 10.1007/s10479-022-04649-9
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