Fuzzy sets, probability and measurement

D Dubois, H Prade - European journal of operational research, 1989 - Elsevier
In recent years, the problem of uncertainty modeling has received much attention from
scholars in artificial intelligence and decision theory. Various formal settings, including but …

Reasoning and learning in the setting of possibility theory-Overview and perspectives

D Dubois, H Prade - International Journal of Approximate Reasoning, 2024 - Elsevier
Possibility theory stands halfway between logical and probabilistic representation
frameworks. Possibility theory, as a setting for handling epistemic uncertainty, may have a …

Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem

P Smets - International Journal of approximate reasoning, 1993 - Elsevier
We generalize the Bayes' theorem within the transferable belief model framework. The
generalized Bayesian theorem (GBT) allows us to compute the belief over a space θ given …

[图书][B] Uncertainty-based information: elements of generalized information theory

G Klir, M Wierman - 1999 - books.google.com
Information is precious. It reduces our uncertainty in making decisions. Knowledge about the
outcome of an uncertain event gives the possessor an advantage. It changes the course of …

Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities

D Dubois, L Foulloy, G Mauris, H Prade - Reliable computing, 2004 - Springer
A possibility measure can encode a family of probability measures. This fact is the basis for a
transformation of a probability distribution into a possibility distribution that generalises the …

Possibility theory and statistical reasoning

D Dubois - Computational statistics & data analysis, 2006 - Elsevier
Numerical possibility distributions can encode special convex families of probability
measures. The connection between possibility theory and probability theory is potentially …

On possibility/probability transformations

D Dubois, H Prade, S Sandri - Fuzzy logic: State of the art, 1993 - Springer
The problem of converting possibility measures into probability measures has received
attention in the past, but not by so many scholars. This question is philosophically interesting …

Possibility theory: qualitative and quantitative aspects

D Dubois, H Prade - Quantified representation of uncertainty and …, 1998 - Springer
In recent years there has been a major trend in uncertainty (more specifically, partial belief)
modelling emphasizing the idea that the degree of confidence in an event is not totally …

[图书][B] Distances and similarities in intuitionistic fuzzy sets

E Szmidt - 2014 - Springer
Dealing with imprecise information is a common task and challenge in everyday life, as
uncertainty is inevitably involved in every real world system. Models are constructed to …

Fuzzy sets and probability: misunderstandings, bridges and gaps

D Dubois, H Prade - [Proceedings 1993] Second IEEE …, 1993 - ieeexplore.ieee.org
One of the most controversial issues in uncertainty modeling and information sciences is the
relationship between probability theory and fuzzy sets. The literature pertaining to this …