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<p>We consider a multicriteria decision analysis (MCDA) problem where importance of criteria, and evaluations of alternatives with respect to the criteria, are expressed on a qualitative ordinal scale. Using the extreme-point principle of Data Envelopment Analysis (DEA), we develop a two-parameter method for obtaining overall ratings of the alternatives when preferences and evaluations are made on an ordinal scale. We assume no parametric setup other than the two parameters that reflect minimum intensities of discriminating among rank positions: one parameter for the alternatives’ ranking and one for the criteria ranking. These parameters are bounded by the ordinal input data, and they imply a universal tie among the alternatives when both parameters are selected to be zero. We describe the model, discuss its theoretical underpinning, and demonstrate its application.</p>
</abstract>

We consider a multicriteria decision analysis (MCDA) problem where importance of criteria, and evaluations of alternatives with respect to the criteria, are expressed on a qualitative ordinal scale. Using the extreme-point principle of Data Envelopment Analysis (DEA), we develop a two-parameter method for obtaining overall ratings of the alternatives when preferences and evaluations are made on an ordinal scale. We assume no parametric setup other than the two parameters that reflect minimum intensities of discriminating among rank positions: one parameter for the alternatives’ ranking and one for the criteria ranking. These parameters are bounded by the ordinal input data, and they imply a universal tie among the alternatives when both parameters are selected to be zero. We describe the model, discuss its theoretical underpinning, and demonstrate its application.

Applying Data Envelopment Analysis Principle in Ordinal Multi Criteria Decision Analysis

Foundations of Computing and Decision Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We consider a multicriteria decision analysis (MCDA) problem where importance of criteria, and evaluations of alternatives with respect to the criteria, are...

Applying Data Envelopment Analysis Principle in Ordinal Multi Criteria Decision Analysis

Online veröffentlicht: 17. Juni 2021

Seitenbereich: 147 - 157

Eingereicht: 18. Feb. 2021

Akzeptiert: 17. März 2021

DOI: https://doi.org/10.2478/fcds-2021-0010

Schlüsselwörter
Multiple criteria analysis, ordinal scale, DEA, extreme-point, discriminating factor

© 2021 Moshe Kress, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Applying Data Envelopment Analysis Principle in Ordinal Multi Criteria Decision Analysis

Online veröffentlicht: 17. Juni 2021

Seitenbereich: 147 - 157

Eingereicht: 18. Feb. 2021

Akzeptiert: 17. März 2021

DOI: https://doi.org/10.2478/fcds-2021-0010

SchlüsselwörterMultiple criteria analysis, ordinal scale, DEA, extreme-point, discriminating factor

© 2021 Moshe Kress, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schlüsselwörter
Multiple criteria analysis, ordinal scale, DEA, extreme-point, discriminating factor