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 Godel logic, a detailed proof of argumentative soundness and completeness with respect to appropriate principles is presented. For ukasiewicz 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.

Connecting fuzzy logic and argumentation frames via logical attack principles / E.A. Corsi, C.G. Fermüller. - In: SOFT COMPUTING. - ISSN 1433-7479. - 23:7(2018), pp. 2255-2270. [10.1007/s00500-018-3513-2]

Connecting fuzzy logic and argumentation frames via logical attack principles

E.A. Corsi;
2018

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 Godel logic, a detailed proof of argumentative soundness and completeness with respect to appropriate principles is presented. For ukasiewicz 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.
t-norm-based logics; Abstract argumentation; Weighted argumentation frames; Semantics of fuzzy logics
Settore M-FIL/02 - Logica e Filosofia della Scienza
Settore MAT/01 - Logica Matematica
Article (author)
File in questo prodotto:
File Dimensione Formato  
4. CORSI FERMÜLLER (2018).pdf

accesso riservato

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 995.03 kB
Formato Adobe PDF
995.03 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Corsi_Fermüller.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 527.72 kB
Formato Adobe PDF
527.72 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/936782
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact