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Bonferroni Prioritized Aggregation Operators Applied to Government Transparency

Author

Listed:
  • Luis A. Perez-Arellano

    (Unidad Regional Culiacán, Universidad Autonoma de Occidente, Blvd. Lola Beltrán s/n esq. Circuito Vial, Culiacán 80200, Mexico)

  • Fabio Blanco-Mesa

    (Facultad de Ciencias Económicas y Administrativas, Escuela de Administración de Empresas, Universidad Pedagógica y Tecnológica de Colombia, Tunja 150001, Colombia)

  • Ernesto Leon-Castro

    (Faculty of Economics and Administrative Sciences, Universidad Católica de la Santísima Concepción, Concepción 4030000, Chile)

  • Victor Alfaro-Garcia

    (Facultad de Contaduría y Ciencias Administrativas, Universidad Michoacana de San Nicolas de Hidalgo, Gral. Francisco J. Múgica S/N, C.U., 58030 Morelia, Mexico)

Abstract

This article applies the Bonferroni prioritized induced heavy ordered weighted average (OWA) to analyze a series of data and focuses on the Bonferroni average and heavy induced prioritized aggregation operators. The objective of the present work is to present a new aggregation operator that combines the heavy induced prioritized Bonferroni and its formulations and represents the Bonferroni mean with variables that induce an order with vectors that are greater than one. This work develops some extensions using prioritization. The main advantage is that different types of information provided by a group of decision makers to compare real situations are included in this formulation. Finally, an example using the operators to calculate the transparency of the websites of the 32 states of Mexico was performed. The main idea was to visualize how the ranking can change depending on the importance of the five components of the methodology. The main results show that it is possible to detect some important changes depending on the operator and the experts considered.

Suggested Citation

  • Luis A. Perez-Arellano & Fabio Blanco-Mesa & Ernesto Leon-Castro & Victor Alfaro-Garcia, 2020. "Bonferroni Prioritized Aggregation Operators Applied to Government Transparency," Mathematics, MDPI, vol. 9(1), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:24-:d:467573
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    References listed on IDEAS

    as
    1. Dug Hun Hong & Sangheon Han, 2019. "The General Least Square Deviation OWA Operator Problem," Mathematics, MDPI, vol. 7(4), pages 1-20, April.
    2. Aarti Gupta, 2010. "Transparency in Global Environmental Governance: A Coming of Age?," Global Environmental Politics, MIT Press, vol. 10(3), pages 1-9, August.
    3. Dejian Yu, 2015. "A scientometrics review on aggregation operator research," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(1), pages 115-133, October.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Rodrigo Gómez Monge & Evaristo Galeana Figueroa & Víctor G. Alfaro-García & José M. Merigó & Ronald R. Yager, 2021. "Variances and Logarithmic Aggregation Operators: Extended Tools for Decision-Making Processes," Mathematics, MDPI, vol. 9(16), pages 1-19, August.

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