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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Generalized Peterson’s Rules in Fuzzy Natural Logic

Authors
Petra Murinová, Viktor Pavliska, Michal Burda
Corresponding Author
Petra Murinová
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.051How to use a DOI?
Keywords
Generalized intermediate quantifiers, Generalized Peterson’s syllogisms, Generalized Peterson’s rules
Abstract

The main objective of this paper is to continue the study of generalized Peterson’s syllogisms and to formally define Peterson’s rules of distributivity, quantity and quality. While past results were based on mathematical definitions of generalized quantifiers the idea of this article is to take advantage of the position of quantifiers within graded Peterson’s square of opposition.

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
978-94-6239-423-0
ISSN
2589-6644
DOI
10.2991/asum.k.210827.051How 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  - Petra Murinová
AU  - Viktor Pavliska
AU  - Michal Burda
PY  - 2021
DA  - 2021/08/30
TI  - Generalized Peterson’s Rules in Fuzzy Natural Logic
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  - 383
EP  - 390
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.051
DO  - 10.2991/asum.k.210827.051
ID  - Murinová2021
ER  -