Bonferroni Prioritized Aggregation Operators Applied to Government Transparency

Luis A. Perez-Arellano, Fabio Blanco-Mesa, Ernesto Leon-Castro and Victor Alfaro-Garcia
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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

Mathematics, 2020, vol. 9, issue 1, 1-19

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.

Keywords: Bonferroni means; prioritized aggregation operators; induced aggregation operators; OWA operator; transparency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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