Constructor Function for Credal Sets (based on intervals)
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)
x |
lower bounds of probability intervals (in the form of a numeric vector) |
y |
upper bounds for probability intervals or missing (i.e., upper bound of |
z |
character vector representing the state space |
A credal set represented by a set of extreme points.
Alexander Karlsson
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
# 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)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.