ImpreciseDEA-ValueAdditive-SMAA_ranks

Provider:PUT
Version:1.0

Description

Computes ranks for the given DMUs (alternatives) using SMAA-D method and Additive Data Envelopment Analysis Model with imprecise data. For given number of samples returns a matrix with alternatives in each row and rankings in each column. Single cell indicates how many samples of respective alternative gave respective position in ranking.

Inputs

(For outputs, see below)

units

Description:

A list of alternatives (DMUs).

inputs/outputs

Description:

A list of criteria with specified preference direction. List has to contains at least one criterion that will be minimized (input) and at least one criterion that will be maximized (output).

XMCDA related:

  • Tag: criteria

  • Code:

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

performance

Description:

A list of alternatives (DMUs) minimal performances (or exact performances if intervals should be created by tolerance).

XMCDA related:

  • Tag: performanceTable

  • Code:

    <performanceTable>
                                                <alternativePerformances>
                                                        <alternativeID> [...] </alternativeID>
                                                        <performance>
                                                                <criterionID>
                                                                        [...]
                                                                </criterionID>
                                                                <value>[...]</value>
                                                        </performance>
                                                        [...]
                                                </alternativePerformances>
                                                [...]
                                        </performanceTable>
    

max performance

Optional: yes, enabled by default

Description:

A list of alternatives (DMUs) maximal performances.

XMCDA related:

  • Tag: performanceTable

  • Code:

    <performanceTable>
                                                <alternativePerformances>
                                                        <alternativeID> [...] </alternativeID>
                                                        <performance>
                                                                <criterionID>
                                                                        [...]
                                                                </criterionID>
                                                                <value>[...]</value>
                                                        </performance>
                                                        [...]
                                                </alternativePerformances>
                                                [...]
                                        </performanceTable>
    

weights constraints

Optional: yes, disabled by default

Description:

A list of criteria linear constraints.

XMCDA related:

  • Tag: criteriaLinearConstraints

  • Code:

    <criteriaLinearConstraints>
                                                <constraint>
                                                        <element>
                                                                <criterionID> [...] </criterionID>
                                                                <coefficient>
                                                                        [...]
                                                                </coefficient>
                                                        </element>
                                                        [...]
                                                        <operator>[...]</operator>
                                                        <rhs>
                                                                [...]
                                                        </rhs>
                                                </constraint>
                                                [...]
                                        </criteriaLinearConstraints>
    

method parameters

Description:

Represents method parameters.
“tolerance” represents the fraction for creating interval data (created interval: [data*(1-tolerance), data*(1+tolerance)]), “transformToUtilities” means if data should be tranformed into values from range [0-1], “boundariesProvided” means if inputsOutputs file contains information about min and max data for each factor, “functionShapeProvided” means if inputsOutputs file contains information about the shapes of value function for given factor, “samplesNb” determines number of samples used to calculate results.

GUI information:

  • Parameter values can be defined via the GUI or the XMCDA file, by default via GUI.
  • Name: number of samples
    • Constraint description: The value should be a positive integer.
    • Type: integer
    • Default value: 100
  • Name: tolerance
    • Constraint description: The value should be non-negative.
    • Type: float
    • Default value: 0.0
  • Name: transform to utilities
    • Default value: true
  • Name: boundaries provided
    • Default value: false
  • Name: function shapes provided
    • Default value: false

XMCDA related:

  • Tag: methodParameters

  • Code:

    <methodParameters>
            <parameter id="samplesNb">
                    <value><integer>%1</integer></value>
            </parameter>
            <parameter id="tolerance">
                    <value><real>%2</real></value>
            </parameter>
            <parameter id="transformToUtilities">
                    <value><boolean>%3</boolean></value>
            </parameter>
            <parameter id="boundariesProvided">
                    <value><boolean>%4</boolean></value>
            </parameter>
            <parameter id="functionShapeProvided">
                    <value><boolean>%5</boolean></value>
            </parameter>
    </methodParameters>
    

Outputs

rank acceptability indices

Description:

A performance table for given alternatives. Single performance consists of attribute criterionID representing certain ranking, and a value representing ratio of samples attaining this ranking.

XMCDA related:

  • Tag: performanceTable

  • Code:

    <performanceTable>
                                                <alternativePerformances>
                                                        <alternativeID> [...] </alternativeID>
                                                        <performance>
                                                                <criterionID> Rank [...]</criterionID>
                                                                        <value>
                                                                        [...]
                                                                        </value>
                                                        </performance>
                                                        [...]
                                                </alternativePerformances>
                                        </performanceTable>
    

average rank

Description:

A list of alternatives with average rank (obtained for given sample).

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues>
                                                <alternativeValue>
                                                  <alternativeID> [...] </alternativeID>
                                                  <values>
                                                          <value>
                [...]
                </value>
                                                  </values>
                                                </alternativeValue>
                                                [...]
                                        </alternativesValues>
    

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.