Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis
Financial markets have been characterized in recent years by their uncertainty and volatility. The price of assets is always changing so that the decisions made by consumers, producers, and governments about different products is not still accurate. In this situation, it is necessary to generate mod...
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| Formato: | Artigo |
| Idioma: | English |
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MDPI AG
2020-08-01
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| Series: | Mathematics |
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| Acceso en liña: | https://www.mdpi.com/2227-7390/8/8/1350 |
| _version_ | 1827710193675272192 |
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| author | Luis F. Espinoza-Audelo Maricruz Olazabal-Lugo Fabio Blanco-Mesa Ernesto León-Castro Victor Alfaro-Garcia |
| author_facet | Luis F. Espinoza-Audelo Maricruz Olazabal-Lugo Fabio Blanco-Mesa Ernesto León-Castro Victor Alfaro-Garcia |
| author_sort | Luis F. Espinoza-Audelo |
| collection | DOAJ |
| description | Financial markets have been characterized in recent years by their uncertainty and volatility. The price of assets is always changing so that the decisions made by consumers, producers, and governments about different products is not still accurate. In this situation, it is necessary to generate models that allow the incorporation of the knowledge and expectations of the markets and thus include in the results obtained not only the historical information, but also the present and future information. The present article introduces a new extension of the ordered weighted averaging (OWA) operator called the Bonferroni probabilistic ordered weighted average (B-POWA) operator. This operator is designed to unify in a single formulation the interrelation of the values given in a data set by the Bonferroni means and a weighted and probabilistic vector that models the attitudinal character, expectations, and knowledge of the decision-maker of a problem. The paper also studies the main characteristics and some families of the B-POWA operator. An illustrative example is also proposed to analyze the mathematical process of the operator. Finally, an application to corn price estimation designed to calculate the error between the price of an agricultural commodity using the B-POWA operator and a leading global market company is presented. The results show that the proposed operator exhibits a better general performance than the traditional methods. |
| first_indexed | 2024-03-10T17:33:43Z |
| format | Article |
| id | doaj.art-893bfe51f14f4433be29f98fded9d9fd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T17:33:43Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-893bfe51f14f4433be29f98fded9d9fd2023-11-20T09:55:18ZengMDPI AGMathematics2227-73902020-08-0188135010.3390/math8081350Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price AnalysisLuis F. Espinoza-Audelo0Maricruz Olazabal-Lugo1Fabio Blanco-Mesa2Ernesto León-Castro3Victor Alfaro-Garcia4Universidad Autónoma de Occidente, Unidad Regional Culiacán, Culiacán 80200, MexicoUniversidad Autónoma de Occidente, Unidad Regional Culiacán, Culiacán 80200, MexicoFacultad de Ciencias Económicas y Administrativas, Escuela de Administración de Empresas, Universidad Pedagógica y Tecnológica de Colombia, Tunja 150003, ColombiaFaculty of Economics and Administrative Sciences, Universidad Católica de la Santísima Concepción, Av. Alonso de Ribera 2850, Concepción 4030000, ChileFacultad de Contaduría y Ciencias Administrativas, Universidad Michoacana de San Nicolas de Hidalgo, Gral. Francisco J. Múgica S/N, C.U., Morelia 58030, MexicoFinancial markets have been characterized in recent years by their uncertainty and volatility. The price of assets is always changing so that the decisions made by consumers, producers, and governments about different products is not still accurate. In this situation, it is necessary to generate models that allow the incorporation of the knowledge and expectations of the markets and thus include in the results obtained not only the historical information, but also the present and future information. The present article introduces a new extension of the ordered weighted averaging (OWA) operator called the Bonferroni probabilistic ordered weighted average (B-POWA) operator. This operator is designed to unify in a single formulation the interrelation of the values given in a data set by the Bonferroni means and a weighted and probabilistic vector that models the attitudinal character, expectations, and knowledge of the decision-maker of a problem. The paper also studies the main characteristics and some families of the B-POWA operator. An illustrative example is also proposed to analyze the mathematical process of the operator. Finally, an application to corn price estimation designed to calculate the error between the price of an agricultural commodity using the B-POWA operator and a leading global market company is presented. The results show that the proposed operator exhibits a better general performance than the traditional methods.https://www.mdpi.com/2227-7390/8/8/1350price forecastingOWA operatorcorn priceBonferroni meansprobabilistic operators |
| spellingShingle | Luis F. Espinoza-Audelo Maricruz Olazabal-Lugo Fabio Blanco-Mesa Ernesto León-Castro Victor Alfaro-Garcia Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis Mathematics price forecasting OWA operator corn price Bonferroni means probabilistic operators |
| title | Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis |
| title_full | Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis |
| title_fullStr | Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis |
| title_full_unstemmed | Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis |
| title_short | Bonferroni Probabilistic Ordered Weighted Averaging Operators Applied to Agricultural Commodities’ Price Analysis |
| title_sort | bonferroni probabilistic ordered weighted averaging operators applied to agricultural commodities price analysis |
| topic | price forecasting OWA operator corn price Bonferroni means probabilistic operators |
| url | https://www.mdpi.com/2227-7390/8/8/1350 |
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