On the Relationship Among Relational Categories of Fuzzy Topological Structures

Relational variants of categories of Čech closure or interior L-valued operators, categories of L-fuzzy pretopological and L-fuzzy co-pretopological operators, category of L-valued fuzzy relation, categories of upper and lower F-transforms and the category of spaces with fuzzy partitions are introdu...

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Autor principal: Močkoř, Jiří
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274707/
http://dx.doi.org/10.1007/978-3-030-50153-2_14
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author Močkoř, Jiří
author_facet Močkoř, Jiří
author_sort Močkoř, Jiří
collection PubMed
description Relational variants of categories of Čech closure or interior L-valued operators, categories of L-fuzzy pretopological and L-fuzzy co-pretopological operators, category of L-valued fuzzy relation, categories of upper and lower F-transforms and the category of spaces with fuzzy partitions are introduced. The existence of relationships defined by functors among these categories are investigated and a key role of a relational category of spaces with fuzzy partitions is described.
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spelling pubmed-72747072020-06-08 On the Relationship Among Relational Categories of Fuzzy Topological Structures Močkoř, Jiří Information Processing and Management of Uncertainty in Knowledge-Based Systems Article Relational variants of categories of Čech closure or interior L-valued operators, categories of L-fuzzy pretopological and L-fuzzy co-pretopological operators, category of L-valued fuzzy relation, categories of upper and lower F-transforms and the category of spaces with fuzzy partitions are introduced. The existence of relationships defined by functors among these categories are investigated and a key role of a relational category of spaces with fuzzy partitions is described. 2020-05-16 /pmc/articles/PMC7274707/ http://dx.doi.org/10.1007/978-3-030-50153-2_14 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
Močkoř, Jiří
On the Relationship Among Relational Categories of Fuzzy Topological Structures
title On the Relationship Among Relational Categories of Fuzzy Topological Structures
title_full On the Relationship Among Relational Categories of Fuzzy Topological Structures
title_fullStr On the Relationship Among Relational Categories of Fuzzy Topological Structures
title_full_unstemmed On the Relationship Among Relational Categories of Fuzzy Topological Structures
title_short On the Relationship Among Relational Categories of Fuzzy Topological Structures
title_sort on the relationship among relational categories of fuzzy topological structures
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274707/
http://dx.doi.org/10.1007/978-3-030-50153-2_14
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