This dataset is the <code>tt</code> matrix establishing the relation between the two variables. An accurate forecast is described by this subset of two event: (Forecast = foul, Weather = foul) and (Forecast = fair, Weather = fair). We assign a mass value of 0.8 to this subset. The remaining mass of 0.2 is allotted to the frame. To construct the <code>tt</code> matrix, we put the variables F and W 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.

datasets

Using the Theory of Belief Functions for evidence calculus. Basic probability assignments, or mass functions, can be defined on the subsets of a set of possible values and combined. A mass function can be extended to a larger frame. Marginalization, i.e. reduction to a smaller frame can also be done. These features can be combined to analyze small belief networks and take into account situations where information cannot be satisfactorily described by probability distributions.

Peiyuan Zhu

Using the Theory of Belief Functions

Claude Boivin

fw function

An integer matrix with 4 rows and 6 columns.<dl>
 <dt>[1,c(1,2)]</dt>
<dd>value = 0, not used</dd> <dt>[1,3:6]</dt>
<dd>Identification numbers of the two variables. Column 3,6: variable 5; columns 5,6: variable 7.</dd> <dt>nospec</dt>
<dd>identification number of the specification</dd> <dt>m</dt>
<dd>the value of the specification, a number between 0 and 1</dd> <dt>foul</dt>
<dd>1 if foul is part of the specification, 0 otherwise</dd> <dt>fair</dt>
<dd>1 if fair is part of the specification, 0 otherwise</dd> 
</dl>

Format

Author

The Captain's Problem. fw: Relation between variables Forecast of the weather (F) and  Weather at sea (W) — fw

An integer matrix with 4 rows and 6 columns.<dl>
 <dt>[1,c(1,2)]</dt>
<dd>value = 0, not used</dd>

 <dt>[1,3:6]</dt>
<dd>Identification numbers of the two variables. Column 3,6: variable 5; columns 5,6: variable 7.</dd>

 <dt>nospec</dt>
<dd>identification number of the specification</dd>

 <dt>m</dt>
<dd>the value of the specification, a number between 0 and 1</dd>

 <dt>foul</dt>
<dd>1 if foul is part of the specification, 0 otherwise</dd>

 <dt>fair</dt>
<dd>1 if fair is part of the specification, 0 otherwise</dd>

 
</dl>

fw: The Captain's Problem. `fw`: Relation between variables Forecast of the weather (F) and Weather at sea (W)

Description

Usage

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Author