Artificial Intelligence
Boole's logic and probability: a critical exposititon from the standpoint of contemporary algebra, logic, and probability theory
An algebraic synthesis of the foundations of logic and probability
Information Sciences: an International Journal
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
On the consistency of defeasible databases
Artificial Intelligence
Knowledge integration for conditional probability assessments
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Generalized concept of atoms for conditional events
Mathematical models for handling partial knowledge in artificial intelligence
Algorithms for precise and imprecise conditional probability assessments
Mathematical models for handling partial knowledge in artificial intelligence
Nonmonotonic reasoning, conditional objects and possibility theory
Artificial Intelligence
CIKM '97 Proceedings of the sixth international conference on Information and knowledge management
Diverse confidence levels in a probabilistic semantics for conditional logics
Artificial Intelligence
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
On the Linear Structure of Betting Criterion and the Checking of Coherence
Annals of Mathematics and Artificial Intelligence
Locally Strong Coherence in Inference Processes
Annals of Mathematics and Artificial Intelligence
Probabilistic Reasoning Under Coherence in System P
Annals of Mathematics and Artificial Intelligence
Probabilistic Default Reasoning with Conditional Constraints
Annals of Mathematics and Artificial Intelligence
Probabilistic Consistency of Conditional Probability Bounds
IPMU'94 Selected papers from the 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, Advances in Intelligent Computing
Probabilistic Default Logic Based on Irrelevance and Relevance Assumptions
ECSQARU/FAPR '97 Proceedings of the First International Joint Conference on Qualitative and Quantitative Practical Reasoning
A Logically Sound Method for Uncertain Reasoning with Quantified Conditionals
ECSQARU/FAPR '97 Proceedings of the First International Joint Conference on Qualitative and Quantitative Practical Reasoning
On the checking of G-coherence of conditional probability bounds
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Probabilistic logic under coherence: complexity and algorithms
Annals of Mathematics and Artificial Intelligence
Computing lower and upper expectations under epistemic independence
International Journal of Approximate Reasoning
Notes on conditional previsions
International Journal of Approximate Reasoning
Marginal extension in the theory of coherent lower previsions
International Journal of Approximate Reasoning
Probabilistic abduction without priors
International Journal of Approximate Reasoning
A survey of the theory of coherent lower previsions
International Journal of Approximate Reasoning
Imprecise probability trees: Bridging two theories of imprecise probability
Artificial Intelligence
A logic with approximate conditional probabilities that can model default reasoning
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Probabilistic deduction with conditional constraints over basic events
Journal of Artificial Intelligence Research
Weak nonmonotonic probabilistic logics
Artificial Intelligence
Correction of incoherent conditional probability assessments
International Journal of Approximate Reasoning
Quasi conjunction and inclusion relation in probabilistic default reasoning
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Constraint propagation with imprecise conditional probabilities
UAI'91 Proceedings of the Seventh conference on Uncertainty in Artificial Intelligence
Some theoretical properties of conditional probability assessments
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
International Journal of Approximate Reasoning
Non-standard probability, coherence and conditional probability on many-valued events
International Journal of Approximate Reasoning
Inferential processes leading to possibility and necessity
Information Sciences: an International Journal
Quasi conjunction, quasi disjunction, t-norms and t-conorms: Probabilistic aspects
Information Sciences: an International Journal
Conditional random quantities and iterated conditioning in the setting of coherence
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
International Journal of Approximate Reasoning
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In this paper we first recall some notions and results on the coherence-based probabilistic treatment of uncertainty. Then, we deepen some probabilistic aspects in nonmonotonic reasoning, by generalizing OR, CM, and Cut rules. We also illustrate the degradation of these inference rules when the number of premises increases. Finally, we show that the lower bounds obtained when applying OR and Quasi-Conjunction inference rules coincide, respectively, with Hamacher and Lukasiewicz t-norms; the upper bounds in both rules coincide with Hamacher t-conorm.