CC BY 4.0Murinová, PetraNovák, Vilém2026-02-062026-02-062026MURINOVÁ, 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/10.15452/978-80-7599-515-5.2026.16.10.15452/978-80-7599-515-5.2026.16https://eduo.osu.cz/handle/1/239In 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.enfuzzy systemsmathematicsinformaticsfuzzy natural logicintermediate quantifiersdistribution indexgraded cube of oppositioninfo:eu-repo/semantics/conferencePaper519.1/.8 - Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelovánífuzzy systémymatematikainformatika