Article:
Verification of Validity of Syllogisms Related to Graded Peterson Cube of Opposition

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Date
2026
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Authors
Murinová, Petra
Novák, Vilém
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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 article, we will examine the validity of selected forms of logical syllogisms with intermediate quantifiers. We will focus in particular on forms related to the graded Peterson’s cube of opposition. Our verification will be based on the application of graded Peterson’s rules using the distribution index.
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Subject Headings
fuzzy systémy, matematika, informatika
Keywords
fuzzy systems, mathematics, informatics, fuzzy natural logic, intermediate quantifiers, distribution index, graded cube of opposition
ISBN
ISSN
DOI
10.15452/978-80-7599-515-5.2026.16
License
CC BY 4.0
Citation
MURINOVÁ, Petra and NOVÁK, Vilém, 2026. Verification of Validity of Syllogisms Related to Graded Peterson Cube of Opposition. 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. 82-85. ISBN 978-80-7599-515-5. Available at: https://doi.org/10.15452/978-80-7599-515-5.2026.16.
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