Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic

In our previous papers, we formally analyzed the generalized Aristotle’s square of opposition using tools of higher-order fuzzy logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically a...

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Detalles Bibliográficos
Autores principales: Murinová, Petra, Novák, Vilém
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274674/
http://dx.doi.org/10.1007/978-3-030-50153-2_11
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author Murinová, Petra
Novák, Vilém
author_facet Murinová, Petra
Novák, Vilém
author_sort Murinová, Petra
collection PubMed
description In our previous papers, we formally analyzed the generalized Aristotle’s square of opposition using tools of higher-order fuzzy logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically analyzed the emerged properties. The main objective of this paper is to extend the graded Peterson’s square of opposition into the graded cube of opposition with intermediate quantifiers.
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spelling pubmed-72746742020-06-08 Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic Murinová, Petra Novák, Vilém Information Processing and Management of Uncertainty in Knowledge-Based Systems Article In our previous papers, we formally analyzed the generalized Aristotle’s square of opposition using tools of higher-order fuzzy logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically analyzed the emerged properties. The main objective of this paper is to extend the graded Peterson’s square of opposition into the graded cube of opposition with intermediate quantifiers. 2020-05-16 /pmc/articles/PMC7274674/ http://dx.doi.org/10.1007/978-3-030-50153-2_11 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
Murinová, Petra
Novák, Vilém
Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title_full Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title_fullStr Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title_full_unstemmed Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title_short Graded Cube of Opposition with Intermediate Quantifiers in Fuzzy Natural Logic
title_sort graded cube of opposition with intermediate quantifiers in fuzzy natural logic
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274674/
http://dx.doi.org/10.1007/978-3-030-50153-2_11
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