capacityShapley

criteria

A list of criteria. Criteria can be activated or desactivated via the <active> tag (true or false). By default (no <active> tag), criteria are considered as active.

The input value should be a valid XMCDA document whose main tag is <criteria>. It must have the following form:

<criteria>
        <criterion>
                <active>[...]</active>
                [...]
        </criterion>
    [...]
</criteria>

mobiusCapacity

The Mobius transform of a capacity.

The input value should be a valid XMCDA document whose main tag is <criteriaSets,criteriaSetsValues>. It must have the following form:

<criteriaSets>
        <criteriaSet id="criteriaSet_1">
                <element>
                        <criterionID>...</criterionID>
                        [...]
                </element>
        </criteriaSet>
        [...]
</criteriaSets>
<criteriaSetsValues mcdaConcept="capacityMoebius">
        <criteriaSetValue>
                <criteriaSetID>criteriaSet_1</criteriaSetID>
                <values>
                        <value>
                                <real>...</real>
                        </value>
                </values>
        </criteriaSetValue>
        [...]
</criteriaSetsValues>

kAdditivity

Indicates the level of k-additivity of the Mobius capacity (the Mobius transform of subsets whose cardinal is superior to k vanishes).

The input value should be a valid XMCDA document whose main tag is <programParameters>. It must have the following form:

<programParameters mcdaConcept="un">
        <parameter name="kAdditivity"> <!-- name: REQUIRED -->
                <values>
                        <value>
                                <integer>%1</integer>
                        </value>
                </values>
        </parameter>
</programParameters>

where:

• %1 is a parameter named “kAdditivity”. This is a int, and the value should conform to the following constraint: The value should be a positive integer, less than or equal to the number of criteria.. More formally, the constraint is:

  %1 > 0
  

  The default value is 1.

shapleyValues

A list of Shapley values. The shapley values are stored in a <criterionValue> for each criterion.

The returned value is a XMCDA document whose main tag is <criteriaValues>. It has the following form:

<criteriaValues mcdaConcept="shapleyValues">
   <criterionValue>
      [...]
   </criterionValue>
   [...]
 </criteriaValues>

messages

A list of messages generated by the algorithm.

The returned value is a XMCDA document whose main tag is <methodMessages>.