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General Grouping Functions
Some aggregation functions that are not necessarily associative, namely overlap and grouping functions, have called the attention of many researchers in the recent past. This is probably due to the fact that they are a richer class of operators whenever one compares with other classes of aggregation...
Autores principales: | , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274810/ http://dx.doi.org/10.1007/978-3-030-50143-3_38 |
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author | Santos, Helida Dimuro, Graçaliz P. Asmus, Tiago C. Lucca, Giancarlo Borges, Eduardo N. Bedregal, Benjamin Sanz, José A. Fernández, Javier Bustince, Humberto |
author_facet | Santos, Helida Dimuro, Graçaliz P. Asmus, Tiago C. Lucca, Giancarlo Borges, Eduardo N. Bedregal, Benjamin Sanz, José A. Fernández, Javier Bustince, Humberto |
author_sort | Santos, Helida |
collection | PubMed |
description | Some aggregation functions that are not necessarily associative, namely overlap and grouping functions, have called the attention of many researchers in the recent past. This is probably due to the fact that they are a richer class of operators whenever one compares with other classes of aggregation functions, such as t-norms and t-conorms, respectively. In the present work we introduce a more general proposal for disjunctive n-ary aggregation functions entitled general grouping functions, in order to be used in problems that admit n dimensional inputs in a more flexible manner, allowing their application in different contexts. We present some new interesting results, like the characterization of that operator and also provide different construction methods. |
format | Online Article Text |
id | pubmed-7274810 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
record_format | MEDLINE/PubMed |
spelling | pubmed-72748102020-06-08 General Grouping Functions Santos, Helida Dimuro, Graçaliz P. Asmus, Tiago C. Lucca, Giancarlo Borges, Eduardo N. Bedregal, Benjamin Sanz, José A. Fernández, Javier Bustince, Humberto Information Processing and Management of Uncertainty in Knowledge-Based Systems Article Some aggregation functions that are not necessarily associative, namely overlap and grouping functions, have called the attention of many researchers in the recent past. This is probably due to the fact that they are a richer class of operators whenever one compares with other classes of aggregation functions, such as t-norms and t-conorms, respectively. In the present work we introduce a more general proposal for disjunctive n-ary aggregation functions entitled general grouping functions, in order to be used in problems that admit n dimensional inputs in a more flexible manner, allowing their application in different contexts. We present some new interesting results, like the characterization of that operator and also provide different construction methods. 2020-05-15 /pmc/articles/PMC7274810/ http://dx.doi.org/10.1007/978-3-030-50143-3_38 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Article Santos, Helida Dimuro, Graçaliz P. Asmus, Tiago C. Lucca, Giancarlo Borges, Eduardo N. Bedregal, Benjamin Sanz, José A. Fernández, Javier Bustince, Humberto General Grouping Functions |
title | General Grouping Functions |
title_full | General Grouping Functions |
title_fullStr | General Grouping Functions |
title_full_unstemmed | General Grouping Functions |
title_short | General Grouping Functions |
title_sort | general grouping functions |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274810/ http://dx.doi.org/10.1007/978-3-030-50143-3_38 |
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