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Open AccessArticle

Bonferroni Prioritized Aggregation Operators Applied to Government Transparency

1
Unidad Regional Culiacán, Universidad Autonoma de Occidente, Blvd. Lola Beltrán s/n esq. Circuito Vial, Culiacán 80200, Mexico
2
Facultad de Ciencias Económicas y Administrativas, Escuela de Administración de Empresas, Universidad Pedagógica y Tecnológica de Colombia, Tunja 150001, Colombia
3
Faculty of Economics and Administrative Sciences, Universidad Católica de la Santísima Concepción, Concepción 4030000, Chile
4
Facultad de Contaduría y Ciencias Administrativas, Universidad Michoacana de San Nicolas de Hidalgo, Gral. Francisco J. Múgica S/N, C.U., 58030 Morelia, Mexico
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(1), 24; https://doi.org/10.3390/math9010024
Received: 2 December 2020 / Revised: 16 December 2020 / Accepted: 21 December 2020 / Published: 24 December 2020
(This article belongs to the Special Issue Fuzzy Sets in Business Management, Finance, and Economics)
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. View Full-Text
Keywords: Bonferroni means; prioritized aggregation operators; induced aggregation operators; OWA operator; transparency Bonferroni means; prioritized aggregation operators; induced aggregation operators; OWA operator; transparency
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MDPI and ACS Style

Perez-Arellano, L.A.; Blanco-Mesa, F.; Leon-Castro, E.; Alfaro-Garcia, V. Bonferroni Prioritized Aggregation Operators Applied to Government Transparency. Mathematics 2021, 9, 24. https://doi.org/10.3390/math9010024

AMA Style

Perez-Arellano LA, Blanco-Mesa F, Leon-Castro E, Alfaro-Garcia V. Bonferroni Prioritized Aggregation Operators Applied to Government Transparency. Mathematics. 2021; 9(1):24. https://doi.org/10.3390/math9010024

Chicago/Turabian Style

Perez-Arellano, Luis A.; Blanco-Mesa, Fabio; Leon-Castro, Ernesto; Alfaro-Garcia, Victor. 2021. "Bonferroni Prioritized Aggregation Operators Applied to Government Transparency" Mathematics 9, no. 1: 24. https://doi.org/10.3390/math9010024

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