swr: The Captain's Problem. 'swr': Relation between variables...

In dst: Using the Theory of Belief Functions

The Captain's Problem. swr: Relation between variables Sailing delay (S), Weather at sea (W), and Repairs at sea (R)

Description

This dataset is the tt matrix establishing a relation between S, W and R, where S = 0:3, W = (foul, fair) and R = (true, false). The goal of this relation is to account for other causes of sailing delay. All the elements (s,w,r) of (S x W x R) where W or R is true add one day of sailing delay. We put a mass value of 0.9 to this subset. The remaining mass of 0.1 is allotted to the frame.

Usage

swr

Format

An integer matrix with 6 rows and 10 columns.

[1,c(1,2)]

value = 0, not used

[1,3:10]

Identification numbers of the three variables. Column 3 to 6: variable 3; columns 7,8: variable 7, columns 9,10: variable 8

nospec

identification number of the specification

m

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

3

1 if 3 is part of the specification, 0 otherwise

2

1 if 2 is part of the specification, 0 otherwise

1

1 if 1 is part of the specification, 0 otherwise

0

1 if 0 is part of the specification, 0 otherwise

foul

1 if foul is part of the specification, 0 otherwise

fair

1 if fair is part of the specification, 0 otherwise

true

1 if true is part of the specification, 0 otherwise

false

1 if false is part of the specification, 0 otherwise

Details

To construct the tt matrix, we put the variables S, W, R side by side, as in a truth table representation. Each triplet 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.