Applying Data Envelopment Analysis Principle in Ordinal Multi Criteria Decision Analysis

• Autorzy: Kress Moshe

Identyfikatory

DOI

10.2478/fcds-2021-0010

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multiple criteria analysis; ordinal scale; DEA; extreme point; discriminating factor

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Computing and Decision Sciences
• Rocznik: 2021
• Tom: Vol. 46, No. 2
• Strony: 147--157
• Opis fizyczny: Bibliogr. 24 poz., tab.

Twórcy

autor

Kress Moshe

• Operations Research Department, Naval Postgraduate School, Monterey, California 93943

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).