credal {EvCombR}

Constructor Function for Credal Sets (based on intervals)

Description

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).

Usage

credal(x, y, z)

Arguments

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 1)

z

character vector representing the state space

Value

A credal set represented by a set of extreme points.

Author(s)

Alexander Karlsson

References

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

See Also

cComb

Examples

# 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)