Results 271 to 280 of about 203,140 (297)

Imprecise and indeterminate probabilities

Risk Decision and Policy, 2000
Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is numerically determinate even though the agent can represent such judgments only in imprecise terms.
openaire   +2 more sources

DECISION THEORY WITH IMPRECISE PROBABILITIES [PDF]

International Journal of Information Technology & Decision Making, 2012
There is an extensive literature on decision making under uncertainty. Unfortunately, up to date there are no valid decision principles. Experimental evidence has repeatedly shown that widely used principle of maximization of expected utility has serious shortcomings.
Rafik A. Aliev, Witold Pedrycz, Oleg H. Huseynov   +2 more
openaire   +1 more source

Constructing imprecise probability distributions

International Journal of General Systems, 2005
In this current paper the following problems are addressed: (1) extending the knowledge of a partially known probability distribution function to any point of a continuous sample space, (2) constructing an imprecise probability distribution based on the knowledge of a set of credible or confidence intervals, and (3) computing the lower and upper ...
Igor Kozine, Lev V. Utkin
openaire   +1 more source

Imprecise quantifiers and conditional probabilities

1991
Expert rules used in knowledge-based systems are often pervaded with uncertainty and subject to exceptions. Numerical quantifiers are a natural way of expressing the proportion of exceptions or the probability of encountering them. The available knowledge about the proportion of A's being B's, or more generally the probability P(BIA) for an A to be a B,
Stéphane Amarger, Didier Dubois, Henri Prade   +2 more
openaire   +1 more source

Imprecise probability and expert forecasting

Proceedings Sixth International Conference on Tools with Artificial Intelligence. TAI 94, 2002
Evidence is often insufficient to support the assessment of precise probabilities. Shifting to vaguer measures of uncertainty, such as upper and lower probabilities, does not deprive one of the key analytical tools of classical probability. Two approaches to the calculation of upper and lower expected values are described and contrasted in the case of ...
openaire   +1 more source

Event‐Tree Analysis with Imprecise Probabilities

Risk Analysis, 2011
Novel methods are proposed for dealing with event‐tree analysis under imprecise probabilities, where one could measure chance or uncertainty without sharp numerical probabilities and express available evidence as upper and lower previsions (or expectations) of gambles (or bounded real functions). Sets of upper and lower previsions generate a convex set
You, Xiaomin, Tonon, Fulvio
openaire   +3 more sources

Decision Making with Imprecise Probabilities

1994
In many decision problems the only information available about a random event is expert opinion. The theory of imprecise probabilities, a generalization of standard subjective probability, allows us to deal with such information. In this paper the use of imprecise probabilities is discussed, with emphasis on elicitation and combination of opinions and ...
openaire   +2 more sources

Probability Inequalities with Imprecise Previsions

We investigate how various well known probability inequalities extend to lower and upper previsions. Our focus is especially on Markov’s, Bhatia-Davis, Jensen’s and Cantelli’s inequalities. In all such cases, imprecise versions of these inequalities are available even requiring the weak consistency notion of 2-coherence, which implies that they obtain ...
Pelessoni, Renato, Vicig, Paolo
openaire   +2 more sources

A universal approach to imprecise probabilities in possibility theory

International Journal of Approximate Reasoning, 2021
Dominik Hose, Michael Hanss
exaly  

Discounting Imprecise Probabilities

2018
In this paper it is considered the problem of discounting a credal set of probability distributions by a factor \(\alpha \) representing a degree of unreliability of the information source providing the imprecise probabilistic information. An axiomatic approach is followed by giving a set of properties that this operator should satisfy.
openaire   +1 more source