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Connecting fuzzy logic and argumentation frames via logical attack principles

Published: 01 April 2019 Publication History

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 G del 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.

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          Published In

          cover image Soft Computing - A Fusion of Foundations, Methodologies and Applications
          Soft Computing - A Fusion of Foundations, Methodologies and Applications  Volume 23, Issue 7
          April 2019
          345 pages
          ISSN:1432-7643
          EISSN:1433-7479
          Issue’s Table of Contents

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          Springer-Verlag

          Berlin, Heidelberg

          Publication History

          Published: 01 April 2019

          Author Tags

          1. Abstract argumentation
          2. Semantics of fuzzy logics
          3. Weighted argumentation frames
          4. t-norm-based logics

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