On Integral Transforms for Residuated Lattice-Valued Functions

The article aims to introduce four types of integral transforms for functions whose function values belong to a complete residuated lattice. The integral transforms are defined using so-called qualitative residuum based fuzzy integrals and integral kernels in the form of binary fuzzy relations. We p...

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Detalles Bibliográficos
Autores principales: Holčapek, Michal, Bui, Viec
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274741/
http://dx.doi.org/10.1007/978-3-030-50153-2_24
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author Holčapek, Michal
Bui, Viec
author_facet Holčapek, Michal
Bui, Viec
author_sort Holčapek, Michal
collection PubMed
description The article aims to introduce four types of integral transforms for functions whose function values belong to a complete residuated lattice. The integral transforms are defined using so-called qualitative residuum based fuzzy integrals and integral kernels in the form of binary fuzzy relations. We present some of the basic properties of proposed integral transforms including a linearity property that is satisfied under specific conditions for comonotonic functions.
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spelling pubmed-72747412020-06-08 On Integral Transforms for Residuated Lattice-Valued Functions Holčapek, Michal Bui, Viec Information Processing and Management of Uncertainty in Knowledge-Based Systems Article The article aims to introduce four types of integral transforms for functions whose function values belong to a complete residuated lattice. The integral transforms are defined using so-called qualitative residuum based fuzzy integrals and integral kernels in the form of binary fuzzy relations. We present some of the basic properties of proposed integral transforms including a linearity property that is satisfied under specific conditions for comonotonic functions. 2020-05-16 /pmc/articles/PMC7274741/ http://dx.doi.org/10.1007/978-3-030-50153-2_24 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
Holčapek, Michal
Bui, Viec
On Integral Transforms for Residuated Lattice-Valued Functions
title On Integral Transforms for Residuated Lattice-Valued Functions
title_full On Integral Transforms for Residuated Lattice-Valued Functions
title_fullStr On Integral Transforms for Residuated Lattice-Valued Functions
title_full_unstemmed On Integral Transforms for Residuated Lattice-Valued Functions
title_short On Integral Transforms for Residuated Lattice-Valued Functions
title_sort on integral transforms for residuated lattice-valued functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274741/
http://dx.doi.org/10.1007/978-3-030-50153-2_24
work_keys_str_mv AT holcapekmichal onintegraltransformsforresiduatedlatticevaluedfunctions
AT buiviec onintegraltransformsforresiduatedlatticevaluedfunctions

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