CondorcetRobustnessRelation

Provider:PyXMCDA Version:1.0

Description

-Contact: Thomas Veneziano (thomas.veneziano@uni.lu)

-Reference: R. Bisdorff. Logical Foundation of Multicriteria Preference Aggregation. In Bouyssou D et al. (eds) Aiding Decisions with Multiple Criteria. Kluwer Academic Publishers, pp. 379-403, 2002.

-Reference: R. Bisdorff, P. Meyer and T. Veneziano. Inverse analysis from a Condorcet robustness denotation of valued outranking relations. F. Rossi and A. Tsoukias (Eds.), Algorithmic Decision Theory. Springer-Verlag Berlin Heidelberg, LNAI 5783, pp. 180–191, 2009.

This web service allows to compute the Condorcet robustness denotation associated to the concordance relation as defined in the Rubis methodology.

Inputs

criteria

Description:

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.

Using thresholds is optional, only the constant ones with mcdaConcept equals to “indifference”, “preference” or “veto” will be considered.

XMCDA related:

-Tag: criteria

-Code:

<criteria>
    <criterion>
        <active>[...]</active>
        <thresholds>
            <threshold
                    mcdaConcept="indifference"><!-- REQUIRED, must be indifference, preference or veto  -->
                    <constant><real>[...]</real></constant>
            </threshold>
         </thresholds>
         [...]
    </criterion>
    [...]
</criteria>

---

alternatives

Description:

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.

XMCDA related:

-Tag: alternatives

-Code:

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

---

performanceTable

Description:

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

XMCDA related:

-Tag: performanceTable

---

criteriaWeights

Description:

The set of criteria weights.

XMCDA related:

-Tag: criteriaValues

---

Outputs

messages

Description:

A list of messages generated by the algorithm.

XMCDA related:

-Tag: methodMessages

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CondorcetRobustnessRelation

Description:

The Condorcet robustness relation.

XMCDA related:

-Tag: alternativesComparisons

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