Ranking Semantics for Argumentation Systems With Necessities

Bipolar argumentation studies argumentation graphs where attacks are combined with another relation between arguments. Many kind of relations (e.g. deductive support, evidential support, necessities etc.) have been defined and investigated from a Dung semantics perspective. We place ourselves in the context of argumentation systems with necessities and provide the first study to investigate ranking semantics in this setting. To this end, we (1) provide a set of postulates specifically designed for necessities and (2) propose the first ranking-based semantics in the literature to be shown to respect these postulates.

[1]  Extending Modular Semantics for Bipolar Weighted Argumentation , 2019, AAMAS.

[2]  Guillermo Ricardo Simari,et al.  Characterizing acceptability semantics of argumentation frameworks with recursive attack and support relations , 2018, Artif. Intell..

[3]  Serena Villata,et al.  Support in Abstract Argumentation , 2010, COMMA.

[4]  Leila Amgoud,et al.  Gradual Semantics for Weighted Graphs: An Unifying Approach , 2018, KR.

[5]  Claudette Cayrol,et al.  Bipolarity in argumentation graphs: Towards a better understanding , 2013, Int. J. Approx. Reason..

[6]  Srdjan Vesic,et al.  Acceptability Semantics for Weighted Argumentation Frameworks , 2017, IJCAI.

[7]  C. Cayrol,et al.  On the Acceptability of Arguments in Bipolar Argumentation Frameworks , 2005, ECSQARU.

[8]  Nicolas Maudet,et al.  A Comparative Study of Ranking-Based Semantics for Abstract Argumentation , 2016, AAAI.

[9]  Pietro Baroni,et al.  Discontinuity-Free Decision Support with Quantitative Argumentation Debates , 2016, KR.

[10]  Nir Oren,et al.  Semantics for Evidence-Based Argumentation , 2008, COMMA.

[11]  Guillermo Ricardo Simari,et al.  An approach to abstract argumentation with recursive attack and support , 2015, J. Appl. Log..

[12]  Claudette Cayrol,et al.  Bipolarity in argumentation graphs: Towards a better understanding , 2011, Int. J. Approx. Reason..

[13]  Nils J. Nilsson,et al.  Artificial Intelligence , 1974, IFIP Congress.

[14]  Farid Nouioua.  AFs with Necessities: Further Semantics and Labelling Characterization , 2013, SUM.

[15]  Marco Aiello,et al.  AAAI Conference on Artificial Intelligence , 2011, AAAI Conference on Artificial Intelligence.

[16]  Ronald R. Yager.  International Journal of Intelligent Systems , 2019, Int. J. Intell. Syst..

[17]  Leila Amgoud,et al.  Ranking-Based Semantics for Argumentation Frameworks , 2013, SUM.

[18]  Till Mossakowski,et al.  Modular Semantics and Characteristics for Bipolar Weighted Argumentation Graphs , 2018, ArXiv.

[19]  Leila Amgoud,et al.  Weighted Bipolar Argumentation Graphs: Axioms and Semantics , 2018, IJCAI.