ImpreciseDEA-ValueAdditive_preferenceRelations

Provider:PUT
Version:1.0

Description

Computes efficiency scores for the given DMUs (alternatives) using Additive Data Envelopment Analysis Model with imprecise information.

  • Contact: Anna Labijak <support@decision-deck.org>
  • Reference: G. Jahanshahloo, F. H. Lotfi, M. R. Malkhalifeh, and M. A. Namin. A generalized model for data envelopment analysis with interval data. 2009.
  • Reference: MC. Gouveia et al. Super-efficiency and stability intervals in additive DEA. 2013

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.

GUI information:

  • Parameter values can be defined via the GUI or the XMCDA file, by default via GUI.
  • Name: tolerance
    • Constraint description: The value should be non-negative.
    • Type: float
    • Default value: 0.00
  • 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="tolerance">
                <value><real>%1</real></value>
        </parameter>
        <parameter id="transformToUtilities">
                <value><boolean>%2</boolean></value>
        </parameter>
        <parameter id="boundariesProvided">
                <value><boolean>%3</boolean></value>
        </parameter>
        <parameter id="functionShapeProvided">
                <value><boolean>%4</boolean></value>
        </parameter>
</methodParameters>

Outputs

necessary dominance

Description:

A list of pairs of pairs of DMU related with necessary preference relation.

XMCDA related:

  • Tag: alternativesComparisons

  • Code:

    <alternativesComparisons>
                                        <pairs>
      <pair>
          <initial>
            <alternativeID>[...]</alternativeID>
          </initial>
          <terminal>
            <alternativeID>[...]</alternativeID>
          </terminal>
          <values>
            <value>
              <real>1</real>
            <value>
          </values>
      </pair>
                                          [...]
    </pairs>
    [...]
                                </alternativesComparisons>

possible dominance

Description:

A list of pairs of pairs of DMU related with possible preference relation.

XMCDA related:

  • Tag: alternativesComparisons

  • Code:

    <alternativesComparisons>
                                        <pairs>
      <pair>
        <initial>
          <alternativeID>[...]</alternativeID>
        </initial>
        <terminal>
          <alternativeID>[...]</alternativeID>
        </terminal>
        <values>
          <value>
            <real>1</real>
          </value>
        </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.