upper: Upper Bounds Based on Evidence Structure

In EvCombR: Evidence Combination in R

Upper Bounds Based on Evidence Structure

Description

Calculate the upper bounds for a vector of sets

Usage

upper(x, sets)

Arguments

x	credal set or mass function
sets	vector of sets where each set is represented by state names separated by "/". If sets are missing, upper bounds on singletons are calculated.

Value

upper bound of mass or probability for each set in the vector sets or if sets is missing upper bounds on singletons

Note

This is equivalent to Belief in Dempster-Shafer theory

Author(s)

Alexander Karlsson

References

Shafer, G., (1976), A mathematical theory of evidence, Princeton University Press

Walley, P. (2000), Towards a unified theory of imprecise probability, International Journal of Approximate Reasoning, 24, 125-148

See Also

upper

Examples

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

# mass function
m <- mass(list("a"=0.1, "b"=0.1 , 
               "c"=0.4, "a/b/c"=0.4), stateSpace)

# credal set
c <- credal(c(0.1, 0.1, 0.1), 
            c(0.8, 0.8, 0.8), stateSpace)

# calculate upper bounds
upper(m, c("a", "a/b"))
upper(c, c("a", "a/b")) 

# upper bounds on singletons
upper(m)

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