The Ordered Weighted Average Human Development Index
The main aim is to propose a new method for estimating the Human Development Index using ordered weighted average. To develop this method, ordered weighted geometric average (OWGA), induced OWGA prioritized OWA (POWA) operator are studied. Using Human Development Index formulation in combination to...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-05-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/2/87 |
| _version_ | 1797534911189483520 |
|---|---|
| author | Ernesto Leon-Castro Fabio Blanco-Mesa Alma Montserrat Romero-Serrano Marlenne Velázquez-Cazares |
| author_facet | Ernesto Leon-Castro Fabio Blanco-Mesa Alma Montserrat Romero-Serrano Marlenne Velázquez-Cazares |
| author_sort | Ernesto Leon-Castro |
| collection | DOAJ |
| description | The main aim is to propose a new method for estimating the Human Development Index using ordered weighted average. To develop this method, ordered weighted geometric average (OWGA), induced OWGA prioritized OWA (POWA) operator are studied. Using Human Development Index formulation in combination to aggregations operators presented above is proposed the prioritized induced ordered weighted geometric average (PIOWGA) operator. A mathematical application is carried out to estimate the Human Development Index and compare it with the traditional method and other existing methods. Finally, it is noted that decision makers have an influence on the order given in the ranking by its attitude and criterion, and method can capture the subjective information prioritized by them. |
| first_indexed | 2024-03-10T11:37:11Z |
| format | Article |
| id | doaj.art-0a4f7a80b9454c75ba2fc4c6fe8276bd |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T11:37:11Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-0a4f7a80b9454c75ba2fc4c6fe8276bd2023-11-21T18:44:41ZengMDPI AGAxioms2075-16802021-05-011028710.3390/axioms10020087The Ordered Weighted Average Human Development IndexErnesto Leon-Castro0Fabio Blanco-Mesa1Alma Montserrat Romero-Serrano2Marlenne Velázquez-Cazares3Faculty of Economics and Administrative Sciences, Universidad Católica de la Santísima Concepción, Concepción 4070129, ChileFacultad de Ciencias Económicas y Administrativas, Universidad Pedagógicay Tecnológica de Colombia, Tunja 150003, ColombiaUnidad Regional Culiacán, Universidad Autónoma de Occidente, Culiacán 80200, MexicoUnidad Regional Culiacán, Universidad Autónoma de Occidente, Culiacán 80200, MexicoThe main aim is to propose a new method for estimating the Human Development Index using ordered weighted average. To develop this method, ordered weighted geometric average (OWGA), induced OWGA prioritized OWA (POWA) operator are studied. Using Human Development Index formulation in combination to aggregations operators presented above is proposed the prioritized induced ordered weighted geometric average (PIOWGA) operator. A mathematical application is carried out to estimate the Human Development Index and compare it with the traditional method and other existing methods. Finally, it is noted that decision makers have an influence on the order given in the ranking by its attitude and criterion, and method can capture the subjective information prioritized by them.https://www.mdpi.com/2075-1680/10/2/87human development indexOWA operatorsprioritizedsubjectivity |
| spellingShingle | Ernesto Leon-Castro Fabio Blanco-Mesa Alma Montserrat Romero-Serrano Marlenne Velázquez-Cazares The Ordered Weighted Average Human Development Index Axioms human development index OWA operators prioritized subjectivity |
| title | The Ordered Weighted Average Human Development Index |
| title_full | The Ordered Weighted Average Human Development Index |
| title_fullStr | The Ordered Weighted Average Human Development Index |
| title_full_unstemmed | The Ordered Weighted Average Human Development Index |
| title_short | The Ordered Weighted Average Human Development Index |
| title_sort | ordered weighted average human development index |
| topic | human development index OWA operators prioritized subjectivity |
| url | https://www.mdpi.com/2075-1680/10/2/87 |
| work_keys_str_mv | AT ernestoleoncastro theorderedweightedaveragehumandevelopmentindex AT fabioblancomesa theorderedweightedaveragehumandevelopmentindex AT almamontserratromeroserrano theorderedweightedaveragehumandevelopmentindex AT marlennevelazquezcazares theorderedweightedaveragehumandevelopmentindex AT ernestoleoncastro orderedweightedaveragehumandevelopmentindex AT fabioblancomesa orderedweightedaveragehumandevelopmentindex AT almamontserratromeroserrano orderedweightedaveragehumandevelopmentindex AT marlennevelazquezcazares orderedweightedaveragehumandevelopmentindex |