Article:
Properties of Graded Peterson's Square of Opposition as Immediate Inferences

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dc.audienceResearchersen
dc.contributor.authorFiala, Karel
dc.contributor.authorMurinová, Petra
dc.date.accessioned2026-02-06T09:06:47Z
dc.date.available2026-02-06T09:06:47Z
dc.date.issued2026
dc.description.abstractImmediate inferences are arguments where the conclusion is supported by just one premise. There are several ways to infer a conclusion from a premise. We can use conversion, obversion, contraposition or the properties of some structure of opposition. In this article, we will focus on the study of immediate inference for several forms of intermediate quantifiers that form a graded Peterson’s square of opposition which describes properties of contrary, contradictory, subcontrary, subaltern, and superaltern between these quantifiers.en
dc.description.sponsorshipThis article has been produced with the financial support of the European Union under the : Biography of Fake News with a Touch of AI: Dangerous Phenomenon through the Prism of Modern Human Sciences project no.: CZ.02.01.01/00/23_025/0008724 via the Operational Programme Jan Ámos Komenský.
dc.identifier.citationFIALA, Karel and MURINOVÁ, Petra, 2026. Properties of Graded Peterson's Square of Opposition as Immediate Inferences. Online. In: STUPŇANOVÁ, Andrea; DYBA, Martin and PAVLISKA, Viktor (eds.). Proceedings of The Eighteenth International Conference on Fuzzy Set Theory and Applications. Ostrava: University of Ostrava, p. 50-53. ISBN 978-80-7599-515-5. Available at: https://doi.org/10.15452/978-80-7599-515-5.2026.08.en
dc.identifier.doi10.15452/978-80-7599-515-5.2026.08
dc.identifier.urihttps://eduo.osu.cz/handle/1/231
dc.language.isoen
dc.rights.licenseCC BY 4.0
dc.subjectfuzzy systemsen
dc.subjectmathematicsen
dc.subjectinformaticsen
dc.subjectgeneralized intermediate quantifiersen
dc.subjectgraded Peterson's square of oppositionen
dc.subjectimmediate inferenceen
dc.subject.czenasfuzzy systémycz
dc.subject.czenasmatematikacz
dc.subject.czenasinformatikacz
dc.subject.konspekt519.1/.8 - Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelovánícz
dc.titleProperties of Graded Peterson's Square of Opposition as Immediate Inferencesen
dc.typeinfo:eu-repo/semantics/conferencePaper
dcterms.eventThe Eighteenth International Conference on Fuzzy Set Theory and Applications, Liptovský Ján, January 25 – 30, 2026
dspace.entity.typeArticle
oaire.resourceTypeconference paper
oaire.versioninfo:eu-repo/semantics/publishedVersion
relation.isPublicationOfArticle6afab15b-8c40-42f9-a7ec-39737fc00100
relation.isPublicationOfArticle.latestForDiscovery6afab15b-8c40-42f9-a7ec-39737fc00100
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