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Covariances with OWA operators and Bonferroni means

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Abstract

The covariance is a statistical technique that is widely used to measure the dispersion between two sets of elements. This work develops new covariance measures by using the ordered weighted average (OWA) operator and Bonferroni means. Thus, this work presents the Bonferroni covariance OWA operator. The main advantage of this approach is that the decision maker can underestimate or overestimate the covariance according to his or her attitudes. The article further generalizes this formulation by using generalized and quasi-arithmetic means to obtain a wide range of particular types of covariances, including the quadratic Bonferroni covariance and the cubic Bonferroni covariance. The paper also considers some other extensions by using induced aggregation operators in order to use complex reordering processes in the analysis. The work ends by studying the applicability of these new techniques to real-world problems and presents an illustrative example of a research and development (R&D) investment problem.

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Notes

  1. The information was obtained through the webpage www.investing.com.

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Acknowledgements

This study was funded by Universidad Pedagógica y Tecnológica de Colombia (Grant Number SGI-2640).

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Authors and Affiliations

  1. Facultad de Ciencias Económicas y Administrativas, Escuela de Administración de Empresas, Universidad Pedagógica y Tecnológica de Colombia, Av. Central del Norte, 39-115, Tunja, 150001, Colombia

    Fabio Blanco-Mesa

  2. Faculty of Economics and Business Administration, Universidad Católica de la Santísima Concepción, Av. Alonso de Ribera 2850, 4070129, Concepción, Chile

    Ernesto León-Castro

  3. Department of Management Control and Information Systems, School of Economics and Business, University of Chile, Av. Diagonal Paraguay 257, 8330015, Santiago, Chile

    José M. Merigó

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  1. Fabio Blanco-Mesa
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  2. Ernesto León-Castro
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  3. José M. Merigó
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Correspondence to Fabio Blanco-Mesa.

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Communicated by V. Loia.

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Blanco-Mesa, F., León-Castro, E. & Merigó, J.M. Covariances with OWA operators and Bonferroni means. Soft Comput 24, 14999–15014 (2020). https://doi.org/10.1007/s00500-020-04852-5

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