CC BY 4.0Fiala, KarelMurinová, Petra2026-02-062026-02-062026FIALA, 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/10.15452/978-80-7599-515-5.2026.08.10.15452/978-80-7599-515-5.2026.08https://eduo.osu.cz/handle/1/231Immediate 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.enfuzzy systemsmathematicsinformaticsgeneralized intermediate quantifiersgraded Peterson's square of oppositionimmediate inferenceinfo:eu-repo/semantics/conferencePaper519.1/.8 - Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelovánífuzzy systémymatematikainformatika