Article:
Verification of Validity of Logical Syllogisms with New Forms of Intermediate Quantifiers Based on Grades

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Date
2026
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Pavliska, Viktor
Murinová, Petra
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Proceedings of The Eighteenth International Conference on Fuzzy Set Theory and Applications
(Ostravská univerzita, 2026) Stupňanová, Andrea; Dyba, Martin; Pavliska, Viktor
Sborník z mezinárodní konference FSTA 2026.
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Abstract
In this contribution, we continue our investigation of fuzzy Peterson syllogisms. Whereas the previous study concentrated on validating these syllogisms through the construction of formal proofs and semantic verification, the present work focuses on assessing their validity using Peterson’s grade-based rules.
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Subject Headings
fuzzy systémy, matematika, informatika
Keywords
fuzzy systems, mathematics, informatics, fuzzy Peterson's syllogisms, intermediate quantifiers, graded Peterson's square of opposition
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DOI
10.15452/978-80-7599-515-5.2026.18
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CC BY 4.0
Citation
PAVLISKA, Viktor and MURINOVÁ, Petra, 2026. Verification of Validity of Logical Syllogisms with New Forms of Intermediate Quantifiers Based on Grades. 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. 90-93. ISBN 978-80-7599-515-5. Available at: https://doi.org/10.15452/978-80-7599-515-5.2026.18.
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