Comparative models ruled by possibility and necessity: A conditional world
International Journal of Approximate Reasoning
A view on conditional measures through local representability of binary relations
International Journal of Approximate Reasoning
Weak Implication in Terms of Conditional Uncertainty Measures
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
An Axiomatization of Conditional Possibilistic Preference Functionals
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
T-conditional possibilities: Coherence and inference
Fuzzy Sets and Systems
Possibility theory: Conditional independence
Fuzzy Sets and Systems
Algorithms for possibility assessments: Coherence and extension
Fuzzy Sets and Systems
Inferential models and relevant algorithms in a possibilistic framework
International Journal of Approximate Reasoning
Independence in possibility theory under different triangular norms
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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In the literature there are different definitions of conditional possibility. Starting from a general axiomatic definition, we propose a definition of independence for ⊙-conditional possibility, in the case that ⊙ is a strictly monotone triangular norm. We study its main properties to compare it to other definitions introduced in possibility theory. Then, we show that the controversial aspects related to logical dependencies (structural zeros) can be circumvented. Moreover, a set of properties (the well-known graphoid properties) has been considered to be tested, allowing us to compare the proposed definition to the independence notions given in the context of other uncertainty formalisms. © 2006 Wiley Periodicals, Inc. Int J Int Syst 21: 299–323, 2006.