RORUTADIS-PreferentialReducts

criteria

A list of criteria (<criteria> tag) with information about preference direction (<criteriaValues mcdaConcept=”preferenceDirection”>, 0 - gain, 1 - cost) and number of characteristic points (<criteriaValues mcdaConcept=”numberOfCharacteristicPoints”>, 0 for the most general marginal utility function or integer grater or equal to 2) of each criterion.

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

<criteria>

<criterion id=”[…]” /> […]

</criteria>

<criteriaValues mcdaConcept=”preferenceDirection”>

<criterionValue>

<criterionID>[…]</criterionID> <value><integer>[…]</integer></value>

</criterionValue> […]

</criteriaValues>

<criteriaValues mcdaConcept=”numberOfCharacteristicPoints”>

<criterionValue>

<criterionID>[…]</criterionID> <value><integer>[0|integer greater or equal to 2]</integer></value>

</criterionValue> […]

</criteriaValues>

alternatives

A list of alternatives.

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

<alternatives>

<alternative id=”…”>

<active>[…]</active>

</alternative>

</alternatives>

categories

A list of categories (classes). List must be sorted from the worst category to the best.

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

<categories>

<category id=”[…]” /> […]

</categories>

performanceTable

The performances of the alternatives.

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

possibleAssignments

Possible assignments (calculated with RORUTADIS-PossibleAndNecessaryAssignments service).

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

assignmentExamples (optional)

A list of assignment examples of alternatives to intervals of categories (classes) or to a specific category (class).

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

<alternativesAssignments>

<alternativeAssignment>

<alternativeID>[…]</alternativeID> <categoryID>[…]</categoryID>

</alternativeAssignment> […] <alternativeAssignment>

<alternativeID>[…]</alternativeID> <categoriesInterval>

<lowerBound>

<categoryID>[…]</categoryID>

</lowerBound> <upperBound>

<categoryID>[…]</categoryID>

</upperBound>

</categoriesInterval>

</alternativeAssignment> […] <alternativeAssignment>

<alternativeID>[…]</alternativeID> <categoriesSet>

<categoryID>[…]</categoryID> […]

</categoriesSet>

</alternativeAssignment> […]

</alternativesAssignments>

assignmentComparisons (optional)

Two lists of assignment pairwise comparisons. A comparison from list with attribute mcdaConcept=”atLeastAsGoodAs” indicates that some alternative should be assigned to class at least as good as class of some other alternative (k = 0) or at least better by k classes (k > 0). A comparison from list with attribute mcdaConcept=”atMostAsGoodAs” indicates that some alternative should be assigned to class at most better by k classes (k > 0) then some other alternative.

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

<alternativesMatrix mcdaConcept="atLeastAsGoodAs">

<row>

<alternativeID>[…]</alternativeID> <column>

<alternativeID>[…]</alternativeID> <values>

<value>

<integer>k</integer>

</value>

</values>

</column>

</row> […]

</alternativesMatrix>

<alternativesMatrix mcdaConcept=”atMostAsGoodAs”>

<row>[…]</row> […]

</alternativesMatrix>

categoriesCardinalities (optional)

A list of category (class) cardinality constraints. It allows to define minimal and/or maximal desired category (class) cardinalities.

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

<categoriesValues>

<categoryValue>

<categoryID>[…]</categoryID> <values>

<value>

<interval>

<lowerBound><integer>[…]</integer></lowerBound> <upperBound><integer>[…]</integer></upperBound>

</interval>

</value>

</values>

</categoryValue> […]

</categoriesValues>

methodParameters

Whether marginal value functions strictly monotonic (true) or weakly monotonic (false).

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

<programParameters>

<parameter name=”strictlyMonotonicValueFunctions”>

<value>

<boolean>%1</boolean>

</value>

</parameter> <parameter name=”alternative”>

<value>

<label>%2</label>

</value>

</parameter>

</programParameters>

where:

• %1 is a parameter named “strictlyMonotonicValueFunctions”. This is a boolean. The default value is false.
• %2 is a parameter named “alternative”. This is a string.

preferentialReducts

All preferential reducts. Each reduct consists of three types of information (alternative assignments, pairwise alternative comparisons and desired class cardinalities) and it is identified by a string stored in attribute ‘id’ of root level tags.

The returned value is a XMCDA document whose main tag is <alternativesAssignments,alternativesMatrix,categoriesValues>.

preferentialCore

preferential core.

The returned value is a XMCDA document whose main tag is <alternativesAffectations,alternativesMatrix,categoriesValues>.

messages

Messages generated by the program.

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