Connecting fuzzy logic and argumentation frames via logical attack principles

Corsi, Esther Anna; Fermüller, Christian G.

doi:10.1007/s00500-018-3513-2

Record link:

https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-6563
http://hdl.handle.net/20.500.12708/270

Title:

Connecting fuzzy logic and argumentation frames via logical attack principles

Citation:

Corsi, E. A., & Fermüller, C. G. (2019). Connecting fuzzy logic and argumentation frames via logical attack principles. Soft Computing. https://doi.org/10.1007/s00500-018-3513-2

Publisher DOI:

10.1007/s00500-018-3513-2

CatalogPlus:

AC15501176

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Corsi, Esther Anna
Fermüller, Christian G.

Organisational Unit:

E192 - Institut für Logic and Computation
E192-05 - Forschungsbereich Theory and Logic

Journal:

Soft Computing

ISSN:

1432-7643

Date (published):

15-Apr-2019

Publisher:

Springer Nature

Peer reviewed:

Yes

Keywords:

t-norm-based logics; Abstract argumentation; Weighted argumentation frames; Semantics of fuzzy logics

Abstract:

We explore systematic connections between weighted (semi-abstract) argumentation frames and t-norm-based fuzzy logics. To this aim we introduce the concept of argumentative immunity, as well as corresponding notions of argumentative soundness and completeness with respect to given sets of logical attack principles. For Gödel logic, a detailed proof of argumentative soundness and completeness with respect to appropriate principles is presented. For Łukasiewicz and product logic this is indicated more briefly, but with some hints on corresponding interpretations of the attack relation between (claims of) arguments. Moreover, the central axiom of prelinearity is analyzed from our argumentation-based perspective.

Science Branch:

1020 - Informatik: 80%
1010 - Mathematik: 20%

License:

CC BY 4.0