On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula

We present a method of generalization of the Lovász extension formula combining two known approaches - the first of them based on the replacement of the product operator by some suitable binary function F and the second one based on the replacement of the minimum operator by a suitable aggregation f...

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Detalles Bibliográficos
Autor principal: Horanská, Ľubomíra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274652/
http://dx.doi.org/10.1007/978-3-030-50143-3_33
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author Horanská, Ľubomíra
author_facet Horanská, Ľubomíra
author_sort Horanská, Ľubomíra
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description We present a method of generalization of the Lovász extension formula combining two known approaches - the first of them based on the replacement of the product operator by some suitable binary function F and the second one based on the replacement of the minimum operator by a suitable aggregation function A. We propose generalization by simultaneous replacement of both product and minimum operators and investigate pairs (F, A) yielding an aggregation function for all capacities.
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spelling pubmed-72746522020-06-08 On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula Horanská, Ľubomíra Information Processing and Management of Uncertainty in Knowledge-Based Systems Article We present a method of generalization of the Lovász extension formula combining two known approaches - the first of them based on the replacement of the product operator by some suitable binary function F and the second one based on the replacement of the minimum operator by a suitable aggregation function A. We propose generalization by simultaneous replacement of both product and minimum operators and investigate pairs (F, A) yielding an aggregation function for all capacities. 2020-05-15 /pmc/articles/PMC7274652/ http://dx.doi.org/10.1007/978-3-030-50143-3_33 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
Horanská, Ľubomíra
On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title_full On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title_fullStr On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title_full_unstemmed On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title_short On Compatibility of Two Approaches to Generalization of the Lovász Extension Formula
title_sort on compatibility of two approaches to generalization of the lovász extension formula
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274652/
http://dx.doi.org/10.1007/978-3-030-50143-3_33
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