Construct a credal set based on probability intervals or a single probability function. The algorithm used for finding the extreme points corresponding to lower and upper bounds is described in De Campos et al. (1994).
credal(x, y, z)
lower bounds of probability intervals (in the form of a numeric vector)
upper bounds for probability intervals or missing (i.e., upper bound of
character vector representing the state space
A credal set represented by a set of extreme points.
Levi, I. (1983), The enterprise of knowledge, The MIT press
Arnborg, S. (2006), Robust Bayesianism: Relation to Evidence Theory, Journal of Advances in Information Fusion, 1, 63-74
Karlsson, A., Johansson, R., Andler, S. F. (2011), Characterization and Empirical Evaluation of Bayesian and Credal Combination Operators, Journal of Advances in Information Fusion, 6, 150-166
De Campos L. M., Huete, J. F., Moral S., Probability Intervals: a Tool for Uncertain Reasoning,International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems, 2, 167-196
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# state space stateSpace <- c("a", "b", "c") # lower and upper bounds for probability intervals c1 <- credal(c(0.1, 0.1, 0.1), c(0.8, 0.8, 0.8), stateSpace) # single probability function (lower and upper bounds of probability intervals are equal) c2 <- credal(c(0.1, 0.2, 0.7), c(0.1, 0.2, 0.7), stateSpace)
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