On Modelling of Generalized Peterson’s Syllogisms with More Premises
- DOI
- 10.2991/asum.k.210827.050How to use a DOI?
- Keywords
- Generalized Intermediate Quantifiers, Generalized Syllogisms, Validity/Invalidity of Syllogisms
- Abstract
This article aims to continue the analysis of generalized Peterson’s syllogisms with more premises. Namely, we use the theory of intermediate quantifiers, which provides the mathematical interpretation of natural language expressions indicating the amount or quantity of objects, such as “Almost all”, “Several” etc. In the second part of this paper, we propose an algorithm for the computation of truth degrees of expressions containing such quantifiers and verify the validity/invalidity of several syllogisms.
- Copyright
- © 2021, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Karel Fiala AU - Veronika Červeňová AU - Petra Murinová PY - 2021 DA - 2021/08/30 TI - On Modelling of Generalized Peterson’s Syllogisms with More Premises BT - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP) PB - Atlantis Press SP - 375 EP - 382 SN - 2589-6644 UR - https://doi.org/10.2991/asum.k.210827.050 DO - 10.2991/asum.k.210827.050 ID - Fiala2021 ER -