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)

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On Modelling of Generalized Peterson’s Syllogisms with More Premises

Authors
Karel Fiala, Veronika Červeňová, Petra Murinová
Corresponding Author
Karel Fiala
Available Online 30 August 2021.
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/).

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Volume Title
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)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
10.2991/asum.k.210827.050
ISSN
2589-6644
DOI
10.2991/asum.k.210827.050How to use a DOI?
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

risenwbib
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  -