Handbook of logic in artificial intelligence and logic programming (vol. 3)
ACM Computing Surveys (CSUR)
A logic-based theory of deductive arguments
Artificial Intelligence
Defeasible reasoning with variable degrees of justification
Artificial Intelligence
Fuzzy argumentation for negotiating agents
Proceedings of the first international joint conference on Autonomous agents and multiagent systems: part 2
The Possibilistic Handling of Irrelevance in Exception-Tolerant Reasoning
Annals of Mathematics and Artificial Intelligence
Inferring from Inconsistency in Preference-Based Argumentation Frameworks
Journal of Automated Reasoning
A Complete Calcultis for Possibilistic Logic Programming with Fuzzy Propositional Variables
UAI '00 Proceedings of the 16th Conference on Uncertainty in Artificial Intelligence
Defeasible logic programming: an argumentative approach
Theory and Practice of Logic Programming
A logic programming framework for possibilistic argumentation with vague knowledge
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
International Journal of Intelligent Systems
Argument-based critics and recommenders: a qualitative perspective on user support systems
Data & Knowledge Engineering - Special issue: WIDM 2004
On the evaluation of argumentation formalisms
Artificial Intelligence
Knowledge and information distribution leveraged by intelligent agents
Knowledge and Information Systems
Argumentative inference in uncertain and inconsistent knowledge bases
UAI'93 Proceedings of the Ninth international conference on Uncertainty in artificial intelligence
Computing dialectical trees efficiently in possibilistic defeasible logic programming
LPNMR'05 Proceedings of the 8th international conference on Logic Programming and Nonmonotonic Reasoning
An argumentation framework for merging conflicting knowledge bases: the prioritized case
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Modality argumentation programming
MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
Modelling Argument Accrual in Possibilistic Defeasible Logic Programming
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
SUM '09 Proceedings of the 3rd International Conference on Scalable Uncertainty Management
A Possibilistic Argumentation Decision Making Framework with Default Reasoning
Fundamenta Informaticae - Latin American Workshop on Logic Languages, Algorithms and New Methods of Reasoning (LANMR)
A probabilistic approach to modelling uncertain logical arguments
International Journal of Approximate Reasoning
Argue to agree: A case-based argumentation approach
International Journal of Approximate Reasoning
Extending a temporal defeasible argumentation framework with possibilistic weights
JELIA'12 Proceedings of the 13th European conference on Logics in Artificial Intelligence
Modelling argument accrual with possibilistic uncertainty in a logic programming setting
Information Sciences: an International Journal
On the complexity of probabilistic abstract argumentation
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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Possibilistic Defeasible Logic Programming (P-DeLP) is a logic programming language which combines features from argumentation theory and logic programming, incorporating the treatment of possibilistic uncertainty at the object-language level. In spite of its expressive power, an important limitation in P-DeLP is that imprecise, fuzzy information cannot be expressed in the object language. One interesting alternative for solving this limitation is the use of PGL^+, a possibilistic logic over Godel logic extended with fuzzy constants. Fuzzy constants in PGL^+ allow expressing disjunctive information about the unknown value of a variable, in the sense of a magnitude, modelled as a (unary) predicate. The aim of this article is twofold: firstly, we formalize DePGL^+, a possibilistic defeasible logic programming language that extends P-DeLP through the use of PGL^+ in order to incorporate fuzzy constants and a fuzzy unification mechanism for them. Secondly, we propose a way to handle conflicting arguments in the context of the extended framework.