choquetIntegral

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>

alternatives

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

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

<alternatives>
    <alternative>
        <active>[...]</active>
        [...]
    </alternative>
    [...]
</alternatives>

performanceTable

A performance table. The evaluations should be numeric values, i.e. <real>, <integer> or <rational>.

The input value should be a valid XMCDA document whose main tag is <performanceTable>.

mobiusCapacity

The Mobius transform of a capacity.

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

<criteriaValues>
    <criterionValue>
        <criteriaSet>
            <element>
                <criterionID>[...]</criterionID>
            </element>
            [...]
        </criteriaSet>
        <value>
            <real>[...]</real>
        </value>
    </criterionValue>
    [...]
</criteriaValues>

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 <methodParameters>. It must have the following form:

<methodParameters>
    <parameter
         name="kAdditivity"> <!-- REQUIRED  -->
        <value>
            <integer>%1</integer>
        </value>
    </parameter>
</methodParameters>

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.

overallValues

The overall values of the alternatives.

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

<alternativesValues mcdaConcept="overallValues">
    <alternativeValue>
        [...]
    </alternativeValue>
    [...]
</alternativesValues>

messages

A list of messages generated by the algorithm.

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