Description Usage Arguments Value Author(s) References See Also Examples

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).

1 | ```
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

1 2 3 4 5 6 7 8 | ```
# 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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