EvCombR-package: EvCombR - Evidence Combination in R

In EvCombR: Evidence Combination in R

EvCombR - Evidence Combination in R

Description

Package for combining pieces of evidence.

Details

Implements Dempster's, Yager's, modified Dempster's, Bayesian, and credal combination (based on intervals).

Author(s)

Alexander Karlsson

Maintainer: Alexander Karlsson <[e-mail]>

References

Dempster, A. P. (1969), A generalization of Bayesian inference, Journal of the Royal Statistical Society, 30, 205-247

Shafer, G. (1976), A Mathematical Theory of Evidence Princeton University Press

Yager, R. (1987), On the Dempster-Shafer Framework and New Combination Rules, Information Sciences 41: 93-137.

Fixsen, D., Mahler, R. P. S. (1997), The modified Dempster-Shafer approach to classification, IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 27, 96-104

Arnborg, S. (2006), Robust Bayesianism: Relation to Evidence Theory, Journal of Advances in Information Fusion, 1, 63-74

Karlsson, A., Johansson, R., and Andler, S. F. (2011), Characterization and Empirical Evaluation of Bayesian and Credal Combination Operators, Journal of Advances in Information Fusion, 6, 150-166

Examples

# construct a state space
stateSpace <- c("a", "b", "c")

# construct credal sets with the given state space
c1 <- credal(c(0.1, 0.1, 0.1), c(0.8, 0.8, 0.8), stateSpace)
c2 <- credal(c(0.2, 0.2, 0.2), c(0.9, 0.9, 0.9), stateSpace)

# combine the credal sets
cComb(c1, c2)

# construct mass functions
m1 <- mass(list("a"=0.1, "b"=0.1 , "c"=0.4, "a/b/c"=0.4), stateSpace)
m2 <- mass(list("a"=0.2, "b"=0.2, "c"=0.2, "a/b/c"=0.4), stateSpace)

# combine the mass functin by using Dempster's combination
dComb(m1, m2)

# Yager's combination operator
yComb(m1, m2)

# modified Dempster's combination using uniform prior
mComb(m1, m2)

EvCombR documentation built on April 25, 2022, 5:06 p.m.