RORUTA-PairwiseOutrankingIndicesHierarchical

Provider:PUT
Version:1.1

Description

Procedure finds a set of matrices of the pair-wise outranking indices for a given problem and a given hierarchy of the criteria. Each matrix describes another node of this hierarchy.

Inputs

(For outputs, see below)

criteria

Description:

A list of all considered criteria. The input value should be a valid XMCDA document whose main tag is criteria.

alternatives

Description:

The list of all considered alternatives. The input value should be a valid XMCDA document whose main tag is alternatives. Each alternative may be described using two attributes: id and name. While the first one denotes a machine readable name, the second represents a human readable name.

XMCDA related:

  • Tag: alternatives

  • Code:

    <alternatives>
        <alternative id="%1" name="%2" />
        [...]
    </alternatives>
    

hierarchy of criteria

Description:

Description of the hierarchical structure of criteria. Each node of this hierarchy needs to have a unique id attribute. The most nested nodes, should contain a set of criteria. The input value should be provided as a valid XMCDA document whose main tag is hierarchy

XMCDA related:

  • Tag: hierarchy

  • Code:

    <hierarchy>
        <node id="nodes">
            <node id="nodes1">
                <criteriaSet>
                    <element><criterionID>%1</criterionID></element> [...]
                </criteriaSet>
            </node>
            [...]
        </node>
        [...]
    </hierarchy>
    

performances

Description:

Description of evaluation of alternatives on different criteria. It is required to provide the IDs of both criteria and alternatives described previously. The input value should be provided as a valid XMCDA document whose main tag is performanceTable

XMCDA related:

  • Tag: performanceTable

  • Code:

    <performanceTable>
        <alternativePerformances>
            <alternativeID>%1</alternativeID>
            <performance>
                <criterionID>%2</criterionID>
                <value>
                    <real>%3</real>
                </value>
            </performance>
            [...]
        </alternativePerformances>
        [...]
    </performanceTable>
    

characteristic points

Optional: yes, enabled by default

Description:

A set of values associated with the criteria. This input allows to determine what type of value function should be used for the particular criterion. For each criterion that has an associated greater than one value, a piecewise linear value function is used. In this case, the mentioned value denotes a number of characteristic points of this value function. For the criteria that are not listed in this file, or for these for which the provided values are lower than two uses a general value function. The input value should be provided as a valid XMCDA document whose main tag is criteriaValues. Each element should contain both an id of the criterion, and value tag.

XMCDA related:

  • Tag: criteriaValues

  • Code:

     <criteriaValues>
        <criterionValue>
            <criterionID>%1</criterionID>
            <value>
                <integer>%2</integer>
            </value>
        </criterionValue>
        [...]
    </criteriaValues>
    

criteria preference directions

Optional: yes, enabled by default

Description:

A set of values associated with criteria that determine their preference direction (0 - gain, 1 - cost).

XMCDA related:

  • Tag: criteriaValues

  • Code:

     <criteriaValues mcdaConcept="preferenceDirection">
        <criterionValue>
            <criterionID>%1</criterionID>
            <value>
                <integer>%2</integer>
            </value>
        </criterionValue>
        [...]
    </criteriaValues>
    

preferences

Optional: yes, enabled by default

Description:

Set of pairwise comparisons of reference alternatives. For a pair of alternatives three types of comparisons are supported. These are the strict preference, weak preference, and indifference. Values linked to pairs indicate ids of nodes in the hierarchy of criteria tree. If value is not given or if it is equal to 0 pairwise comparison is assumed to concern for the whole set of criteria. Otherwise, the preference relation applies only to a particular node. The input value should be provided as a valid XMCDA document whose main tag is alternativesComparisons. For each type of comparison, a separate alternativesComparisons tag should be used. Within these groups a mentioned types are denoted using a comparisonType tag by respectively strict, weak, and indif label. Comparisons should be provided as pairs of alternatives ids.

XMCDA related:

  • Tag: alternativesComparisons

  • Code:

    <alternativesComparisons>
        <comparisonType>
            %1<!-- type of preference: strong, weak, or indif -->
        </comparisonType>
        <pairs>
            <pair>
                <initial>
                    <alternativeID>%2</alternativeID>
                </initial>
                <terminal>
                    <alternativeID>%3</alternativeID>
                </terminal>
                <value>
                    <label>%4</label>
                </value>
            </pair>
            [...]
        </pairs>
    </alternativesComparisons>
    

intensities-of-preferences

Optional: yes, enabled by default

Description:

Set of comparisons of intensities of preference. For a pair of preference relations three types of comparisons are supported. These are the strict preference, weak preference, and indifference. Values linked to pairs, determine ids of nodes in the hierarchy of criteria tree. If value is not given or if it is equal to 0 intensity of preference is assumed to concern for the whole set of criteria. Otherwise, the statement applies only to a particular node. The input value should be provided as a valid XMCDA document whose main tag is alternativesComparisons. For each type of comparison, a separate alternativesComparisons tag should be used. Within these groups aforementioned types are denoted using a comparisonType tag by respectively strict, weak, and indif label. Comparisons should be provided as pairs of two elementary sets of alternatives ids. The following form is expected:

XMCDA related:

  • Tag: alternativesComparisons

  • Code:

    <alternativesComparisons>
        <comparisonType>
            %1<!-- type of preference: strong, weak, or indif -->
        </comparisonType>
        <pairs>
            <pair>
                <initial>
                    <alternativesSet>
                        <element>
                            <alternativeID>%2</alternativeID>
                        </element>
                        <element>
                            <alternativeID>%3</alternativeID>
                        </element>
                    </alternativesSet>
                </initial>
                <terminal>
                    <alternativesSet>
                        <element>
                            <alternativeID>%4</alternativeID>
                        </element>
                        <element>
                            <alternativeID>%5</alternativeID>
                        </element>
                    </alternativesSet>
                </terminal>
                <value>
                    <label>%6</label>
                </value>
            </pair>
        </pairs>
    </alternativesComparisons>
    

parameters

Description:

Method parameters
strict %1 - Single boolean value. Determines whether to use sctrictly increasing (true) or monotonously increasing (false) value functions number of samples %2 - Number of samples used to generate result

GUI information:

  • Name: Use strictly increasing value functions?

    Single boolean value. Determines whether to use sctrictly increasing (true) or monotonously increasing (false) value functions.

    • Default value: false
  • Name: Number of samples that are used to generate a result

    • Constraint description: An integer greater than zero value that denotes a number of samples generated by an algorithm.
    • Type: integer
    • Default value: 100

XMCDA related:

  • Tag: methodParameters

  • Code:

     <methodParameters>
        <parameter name="strict">
            <value>
                <boolean>%1</boolean>
            </value>
        </parameter>
        <parameter name="number-of-samples">
            <value>
                <integer>%2</integer>
            </value>
        </parameter>
    </methodParameters>
    

Outputs

pairwise outranking indices - hierarchical

Description:

A list of all pairwise outranking indices. The returned value is an XMCDA document whose main tag is alternativesComparisons. Each node of the hierarchy should be described by another alternativesComparisons tag. The id of node should be marked in the id attribute of these tag.

XMCDA related:

  • Tag: alternativesComparisons

  • Code:

    <alternativesComparisons id=%1>
        <pairs>
          <pair>
            <initial>
              <alternativeID>[...]</alternativeID>
            </initial>
            <terminal>
              <alternativeID>[...]</alternativeID>
            </terminal>
            <value>
                <real>[...]</real>
            </value>
          </pair>
          [...]
      </pairs>
    </alternativesComparisons>
    

messages

Description:

A list of messages generated by the algorithm.

XMCDA related:

  • Tag: methodMessages

For further technical details on the web service underlying this program, have a look at its documentation here.