decision {evclass} | R Documentation |
Decision rules for evidential classifiers
Description
decision
returns decisions from a loss matrix and mass functions computed
by an evidential classifier.
Usage
decision(
m,
L = 1 - diag(ncol(m) - 1),
rule = c("upper", "lower", "pignistic", "hurwicz"),
rho = 0.5
)
Arguments
m |
Matrix of masses for n test cases. Each row is a mass function. The first M columns correspond to the mass assigned to each of the M classes. The last column corresponds to the mass assigned to the whole set of classes. |
L |
The loss matrix of dimension (M,na) or (M+1,na), where na is the number
of actions. L[k,j] is the loss incurred if action j is chosen and the true class
is |
rule |
Decision rule to be used. Must be one of these: 'upper' (upper expectation), 'lower' (lower expectations), 'pignistic' (pignistic expectation), 'hurwicz' (weighted sum of the lower and upper expectations). |
rho |
Parameter between 0 and 1. Used only is rule='hurwicz'. |
Details
This function implements the decision rules described in Denoeux (1997), with an arbitrary loss function. The decision rules are the minimization of the lower, upper or pignistic expectation, and Jaffray's decision rule based on minimizing a convex combination of the lower and upper expectations. The function also handles the case where there is an "unknown" class, in addition to the classes represented in the training set.
Value
A n-vector with the decisions (integers between 1 and na).
Author(s)
Thierry Denoeux.
References
T. Denoeux. Analysis of evidence-theoretic decision rules for pattern classification. Pattern Recognition, 30(7):1095–1107, 1997.
See Also
Examples
## Example with M=2 classes
m<-matrix(c(0.9,0.1,0,0.4,0.6,0,0.1,0.1,0.8),3,3,byrow=TRUE)
## Loss matrix with na=4 acts: assignment to class 1, assignment to class2,
# rejection, and assignment to the unknown class.
L<-matrix(c(0,1,1,1,0,1,0.2,0.2,0.2,0.25,0.25,0),3,4)
d<-decision(m,L,'upper') ## instances 2 and 3 are rejected
d<-decision(m,L,'lower') ## instance 2 is rejected, instance 3 is
# assigned to the unknown class