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 …

[HTML][HTML] Probabilistic squares and hexagons of opposition under coherence

N Pfeifer, G Sanfilippo - International Journal of Approximate Reasoning, 2017 - Elsevier
Various semantics for studying the square of opposition and the hexagon of opposition have
been proposed recently. We interpret sentences by imprecise (set-valued) probability …

[HTML][HTML] Probabilistic inferences from conjoined to iterated conditionals

G Sanfilippo, N Pfeifer, DE Over, A Gilio - International Journal of …, 2018 - Elsevier
There is wide support in logic, philosophy, and psychology for the hypothesis that the
probability of the indicative conditional of natural language, P (if A then B), is the conditional …

Possibilistic and probabilistic logic under coherence: default reasoning and System P

G Coletti, R Scozzafava, B Vantaggi - Mathematica Slovaca, 2015 - degruyter.com
Some results on coherence in probabilistic and in possibilistic frameworks are presented in
order to deal with nonmonotonic reasoning. Moreover, we extend these results to …

When upper conditional probabilities are conditional possibility measures

G Coletti, D Petturiti, B Vantaggi - Fuzzy Sets and Systems, 2016 - Elsevier
Conditioning for (non-additive) uncertainty measures is still an open problem. This is
essentially due to the fact that these measures can be viewed either as lower or upper …

[HTML][HTML] Likelihood-fuzzy analysis: From data, through statistics, to interpretable fuzzy classifiers

M Pota, M Esposito, G De Pietro - International Journal of Approximate …, 2018 - Elsevier
Data-driven extraction of knowledge naturally takes advantage from the use of statistics,
since statistical approaches enable to summarize information embedded in the dataset. On …

[HTML][HTML] Fuzzy memberships as likelihood functions in a possibilistic framework

G Coletti, D Petturiti, B Vantaggi - International Journal of Approximate …, 2017 - Elsevier
Likelihood functions are studied in a probabilistic and possibilistic setting: inferential
conclusions are drawn from a set of likelihood functions and prior information relying on the …

[HTML][HTML] Envelopes of conditional probabilities extending a strategy and a prior probability

D Petturiti, B Vantaggi - International Journal of Approximate Reasoning, 2017 - Elsevier
Any assessment formed by a strategy and a prior probability is a coherent conditional
probability and can be extended, generally not in a unique way, to a full conditional …

A new hybrid possibilistic-probabilistic decision-making scheme for classification

B Solaiman, D Guériot, S Almouahed, B Alsahwa… - Entropy, 2021 - mdpi.com
Uncertainty is at the heart of decision-making processes in most real-world applications.
Uncertainty can be broadly categorized into two types: aleatory and epistemic. Aleatory …

Bayesian inference: the role of coherence to deal with a prior belief function

G Coletti, D Petturiti, B Vantaggi - Statistical Methods & Applications, 2014 - Springer
Starting from a likelihood function and a prior information represented by a belief function, a
closed form expression is provided for the lower envelope of the set of all the possible …