mrf: The Captain's Problem. 'mrf': Relation between variables No...

In dst: Using the Theory of Belief Functions

The Captain's Problem. mrf: Relation between variables No Maintenance (M = false) and Repairs at sea (R)

Description

This dataset is the tt matrix establishing a set of two relations between the two variables. First, Repairs = true if Maintenance = false in (M x R). We are 20% sure that there will be Repairs if no maintenance. Second, Repairs = false if Maintenance = false in (M x R). We are 20% sure that there will be no repairs if no maintenance.

Usage

mrf

Format

A (0,1) matrix with 4 rows and 6 columns.

[1,c(1,2)]

value = 0, not used

[1,3:6]

Identification numbers of the two variables. Column 3,4: variable 6; columns 5,6: variable 8

nospec

identification number of the specification

m

the value of the specification, a number between 0 and 1

true

1 if true is part of the specification, 0 otherwise

false

1 if false is part of the specification, 0 otherwise

Details

These two relations are implication rules. The remaining mass of 0.6 is allotted to the frame. To construct the tt matrix, we put the variables M and R side by side, as in a truth table representation. Each pair of the subset is described by a row of the matrix as a vector of zeros and ones.

Author(s)

Claude Boivin, Stat.ASSQ

Source

Almond, R.G. [1988] Fusion and Propagation in Graphical Belief Models. Computing Science and Statistics: Proceedings of the 20th Symposium on the Interface. Wegman, Edward J., Gantz, Donald T. and Miller, John J. (ed.). American Statistical Association, Alexandria, Virginia. pp 365–370.

dst documentation built on Nov. 16, 2023, 5:08 p.m.