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 …

Representations of uncertainty in artificial intelligence: Probability and possibility

T Denœux, D Dubois, H Prade - A Guided Tour of Artificial Intelligence …, 2020 - Springer
Due to its major focus on knowledge representation and reasoning, artificial intelligence was
bound to deal with various frameworks for the handling of uncertainty: probability theory, but …

Conditional belief functions as lower envelopes of conditional probabilities in a finite setting

G Coletti, D Petturiti, B Vantaggi - Information Sciences, 2016 - Elsevier
The aim is to provide a characterization of full conditional measures on a finite Boolean
algebra, obtained as lower envelope of the extensions of a full conditional probability …

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 …

A dynamic assessment tool for exploring and communicating vulnerability to floods and climate change

C Giupponi, S Giove, V Giannini - Environmental Modelling & Software, 2013 - Elsevier
In this article we propose an innovative approach to support a participatory modelling
process for the exploratory assessment of vulnerability within the broad context of climate …

[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 …

T-conditional possibilities: coherence and inference

G Coletti, B Vantaggi - Fuzzy Sets and Systems, 2009 - Elsevier
In this paper we refer to an axiomatic definition of T-conditional possibility, where T is any t-
norm. We characterize a full T-conditional possibility in terms of a suitable set of …

The extent of partially resolving uncertainty in assessing coherent conditional plausibilities

D Petturiti, B Vantaggi - Fuzzy Sets and Systems, 2023 - Elsevier
Handling uncertainty and reasoning under partial knowledge are challenging tasks that
require to deal with coherent assessments and their extensions. Plausibility theory is shown …

Analysis of possibility theory for reasoning under uncertainty

AA Alola - 2012 - i-rep.emu.edu.tr
The purpose of this thesis is to analyze the possibility theory for reasoning under uncertainty.
The relationship and difference between probability and possibility theories are presented …

Possibilistic and probabilistic likelihood functions and their extensions: Common features and specific characteristics

G Coletti, D Petturiti, B Vantaggi - Fuzzy Sets and Systems, 2014 - Elsevier
We deal with conditional probability in the sense of de Finetti and with T-conditional
possibility (with T a triangular norm). We prove that Dubois and Prade conditional possibility …