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A three-system approach that integrates DEA, BSC, and AHP for museum evaluation

Author

Listed:
  • Antonella Basso

    (Ca’ Foscari University of Venice)

  • Stefania Funari

    (Ca’ Foscari University of Venice)

Abstract

This paper proposes to measure the museums performance with a model that combines the Data Envelopment Analysis (DEA) and Balanced Scorecard (BSC) methodologies with a third method, the analytic hierarchy process (AHP), which is often used to support decision making. Starting from the two-stage DEA–BSC model of Basso et al. (Omega Int J Manag Sci 81:67–84, 2018), which integrates DEA and BSC, we explore the advantages to consider also the AHP methodology, with the aim to include the judgement of some museums’ experts on the relative importance of the BSC perspectives in the performance evaluation model. A first approach uses directly the AHP priorities derived from the judgements expressed by the museums’ experts interviewed to determine the weights to aggregate the four BSC performance scores into an overall performance indicator. A second approach uses the judgments of the museums’ experts indirectly to introduce proper restrictions on the output weights of the second-stage DEA model. With this approach, we overcome the problem arising from the dispersion of the preferences within the group of experts, that may heavily affects the first approach. Both approaches proposed in this contribution are applied to the case study of the municipal museums of Venice.

Suggested Citation

  • Antonella Basso & Stefania Funari, 2020. "A three-system approach that integrates DEA, BSC, and AHP for museum evaluation," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 413-441, December.
    • Handle: RePEc:spr:decfin:v:43:y:2020:i:2:d:10.1007_s10203-020-00298-4
    DOI: 10.1007/s10203-020-00298-4
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    Cited by:

    1. Antonella Basso & Stefania Funari, 2020. "DEA-BSC and Diamond Performance to Support Museum Management," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    2. Kaya, Gizem & Aydın, Umut & Ülengin, Burç & Karadayı, Melis Almula & Ülengin, Füsun, 2023. "How do airlines survive? An integrated efficiency analysis on the survival of airlines," Journal of Air Transport Management, Elsevier, vol. 107(C).

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    More about this item

    Keywords

    Performance evaluation; Data Envelopment Analysis (DEA); Balanced Scorecard (BSC); Analytic hierarchy process (AHP); Group decision making; Museums;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Z11 - Other Special Topics - - Cultural Economics - - - Economics of the Arts and Literature
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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