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

Jahangir Wasim, Vijay Vyas, Pietro Amenta, Antonio Lucadamo, Gabriella Marcarelli () and Alessio Ishizaka
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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

Annals of Operations Research, 2023, vol. 326, issue 2, No 10, 853-877

Abstract: 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.

Keywords: Multi-criteria; Decision analysis; Group decision making; Entrepreneurship education (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-04649-9

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