Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions

In the paper Jin et al. [8] the authors introduced a generalized phi-transformation of aggregation functions. This is a kind of two-step aggregation. This transformation was further developed in Jin et al. [9] into a Generalized-Convex-Sum-Transformation. A special case of the proposed Generalized-C...

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Autor principal: Kalina, Martin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274760/
http://dx.doi.org/10.1007/978-3-030-50143-3_42
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author Kalina, Martin
author_facet Kalina, Martin
author_sort Kalina, Martin
collection PubMed
description In the paper Jin et al. [8] the authors introduced a generalized phi-transformation of aggregation functions. This is a kind of two-step aggregation. This transformation was further developed in Jin et al. [9] into a Generalized-Convex-Sum-Transformation. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also known as the Darsow product of copulas. This approach covers also the discrete Choquet integral. In this paper we study the monotone systems of functions, particularly the case when functions in these systems are just two-valued.
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spelling pubmed-72747602020-06-08 Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions Kalina, Martin Information Processing and Management of Uncertainty in Knowledge-Based Systems Article In the paper Jin et al. [8] the authors introduced a generalized phi-transformation of aggregation functions. This is a kind of two-step aggregation. This transformation was further developed in Jin et al. [9] into a Generalized-Convex-Sum-Transformation. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also known as the Darsow product of copulas. This approach covers also the discrete Choquet integral. In this paper we study the monotone systems of functions, particularly the case when functions in these systems are just two-valued. 2020-05-15 /pmc/articles/PMC7274760/ http://dx.doi.org/10.1007/978-3-030-50143-3_42 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
Kalina, Martin
Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title_full Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title_fullStr Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title_full_unstemmed Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title_short Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions
title_sort aggregation functions transformed by 0 - 1 valued monotone systems of functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274760/
http://dx.doi.org/10.1007/978-3-030-50143-3_42
work_keys_str_mv AT kalinamartin aggregationfunctionstransformedby01valuedmonotonesystemsoffunctions

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