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 …

Strategy for sensor number determination and placement optimization with incomplete information based on interval possibility model and clustering avoidance …

C Yang, K Liang, X Zhang - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
A strategy for sensor number determination and placement optimization for structural health
monitoring is proposed based on an interval possibility model and clustering avoidance …

Tensors associated with mean quadratic differences explaining the riskiness of portfolios of financial assets

P Angelini, F Maturo - Journal of Risk and Financial Management, 2023 - mdpi.com
Bound choices such as portfolio choices are studied in an aggregate fashion using an
extension of the notion of barycenter of masses. This paper answers the question of whether …

Aggregate bound choices about random and nonrandom goods studied via a nonlinear analysis

F Maturo, P Angelini - Mathematics, 2023 - mdpi.com
In this paper, bound choices are made after summarizing a finite number of alternatives. This
means that each choice is always the barycenter of masses distributed over a finite set of …

Probability spaces identifying ordinal and cardinal utilities in problems of an economic nature: New issues and perspectives

P Angelini - Mathematics, 2023 - mdpi.com
Prevision bundles identifying expected returns on risky assets are established. A probability
space associated with risky assets is defined. In this research work, the optimization …

The price of risk based on multilinear measures

P Angelini, F Maturo - International Review of Economics & Finance, 2022 - Elsevier
In this paper, the price of risk measuring how risk and return can be traded off in making
portfolio choices is based on multilinear indices that are obtained by using a multilinear and …

How to assess coherent beliefs: a comparison of different notions of coherence in Dempster-Shafer theory of evidence

D Petturiti, B Vantaggi - Reflections on the Foundations of Probability and …, 2022 - Springer
Stemming from de Finetti's work on finitely additive coherent probabilities, the paradigm of
coherence has been applied to many uncertainty calculi in order to remove structural …

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 …

Invariance of the mathematical expectation of a random quantity and its consequences

P Angelini - Risks, 2024 - mdpi.com
Possibility and probability are the two aspects of uncertainty, where uncertainty represents
the ignorance of a given individual. The notion of alternative (or event) belongs to the …

Jensen's inequality connected with a double random good

P Angelini, F Maturo - Mathematical Methods of Statistics, 2022 - Springer
In this paper, we define a multiple random good of order denoted by whose possible values
are of a monetary nature. A two-risky asset portfolio is a multiple random good of order. It is …