mass-class {EvCombR}

Class "mass"

Description

Represents a mass function by a list of focal elements and corresponding mass. For more detail see mass.

Objects from the Class

Objects can be created by credal.

Slots

focal:

a list of focal elements represented by statenames seperated by "/"

space:

the state space represented by a character vector

Methods

[

signature(x = "mass", i = "character", j = "missing"): extract focal elements

[[

signature(x = "mass", i = "character", j = "missing"): extract a single focal element

[<-

signature(x="mass", i="character", j="missing", value="ANY"): replace focal elements

[[<-

signature(x="mass", i="character", j="missing", value="ANY"): replace a single focal element

dComb

signature(x = "mass", y = "mass"): combine two mass functions by Dempster's combination

focal

signature(x = "mass"): access focal elements

focal<-

signature(x = "mass"): replace focal elements

lower

signature(x = "mass", set = "character"): calculate the lower bounds for some focal element

lower

signature(x = "mass", set = "missing"): calculate the lower bounds for singletons

mComb

signature(x = "mass", y = "mass", z = "function"): combine two mass functions by modified Dempster's combination using a prior distribution z

mComb

signature(x = "mass", y = "mass", z = "missing"): combine two mass functions by modified Dempster's combination using a uniform prior distribution z

pign

signature(x = "mass"): calculate the pignistic transformation for single states

relPl

signature(x = "mass"): calculate the relative plausibility for single states

space

signature(x = "mass"): access the state space (frame of discernment)

space<-

signature(x = "mass"): replace the state space (frame of discernment)

upper

signature(x = "mass", set = "character"): calculate the upper bound for some focal element

upper

signature(x = "mass", set = "character"): calculate the upper bounds for singletons

yComb

signature(x = "mass", y = "mass"): combine two mass functions using Yager's rule

disc

signature(x = "mass", y = "numeric"): discount mass function

Author(s)

Alexander Karlsson

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