Article: Properties of Graded Peterson's Square of Opposition as Immediate Inferences
Alternative Title
Authors
Fiala, Karel
Murinová, Petra
Editor
Abstract
Immediate 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.
Description
Subject Headings
fuzzy systémy, matematika, informatika
Keywords
fuzzy systems, mathematics, informatics, generalized intermediate quantifiers, graded Peterson's square of opposition, immediate inference
ISBN
ISSN
DOI
10.15452/978-80-7599-515-5.2026.08
License
CC BY 4.0
Citation
FIALA, 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.