scholarly journals An Imprecise Probability Approach for Abstract Argumentation Based on Credal Sets

2019 ◽  
pp. 39-49
Author(s):  
Mariela Morveli-Espinoza ◽  
Juan Carlos Nieves ◽  
Cesar Augusto Tacla
Keyword(s):  
Imprecise Probability ◽  
Abstract Argumentation ◽  
Probability Approach ◽  
Credal Sets

On a Certain Probability Approach to the Quantitative Description of Dynamics of Natural Processes

1998 ◽  
Vol 30 (1) ◽  
pp. 51-69
Author(s):  
A. V. Kryazhimskii ◽  
V. I. Maksimov ◽  
A. A. Solov'ev ◽  
Alexander G. Chentsov
Keyword(s):  
Quantitative Description ◽  
Natural Processes ◽  
Probability Approach

Bipolar Abstract Argumentation with Dual Attacks and Supports

2020 ◽  
Author(s):  
Nico Potyka
Keyword(s):  
Computational Complexity ◽  
Decision Problems ◽  
Abstract Argumentation ◽  
Stable Semantics ◽  
Support Relations ◽  
Support Relationships ◽  
Computational Properties ◽  
Inherent Tendency

Bipolar abstract argumentation frameworks allow modeling decision problems by defining pro and contra arguments and their relationships. In some popular bipolar frameworks, there is an inherent tendency to favor either attack or support relationships. However, for some applications, it seems sensible to treat attack and support equally. Roughly speaking, turning an attack edge into a support edge, should just invert its meaning. We look at a recently introduced bipolar argumentation semantics and two novel alternatives and discuss their semantical and computational properties. Interestingly, the two novel semantics correspond to stable semantics if no support relations are present and maintain the computational complexity of stable semantics in general bipolar frameworks.

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