Strict vs. Weak Ordinal Relations for Multipliers in Data Envelopment Analysis
Agha Iqbal Ali,
Wade D. Cook and
Additional contact information
Agha Iqbal Ali: School of Management, University of Massachusetts, Amherst, Massachusetts 01003
Wade D. Cook: Faculty of Administrative Studies, York University, Toronto, Ontario, Canada
Management Science, 1991, vol. 37, issue 6, 733-738
In a recent paper, Golany (1988) proposes an interesting extension of Data Envelopment Analysis to the situation where ordinal relations among weights corresponding to certain dimensions exist. However, the development of the extended model contains mathematical errors and the proposed equivalence is incorrect. We establish the correct model equivalence and prove that weak ordinal relations require a nonstandard DEA model. We also show that the case of strict ordinal relations can be handled with the standard DEA model. These results hold for the CCR, BCC, additive, and multiplicative models and for relations involving both input and output multipliers.
Keywords: data envelopment analysis; ordinal relationships; orderings; relative efficiency (search for similar items in EconPapers)
References: Add references at CitEc
Citations: View citations in EconPapers (22) Track citations by RSS feed
Downloads: (external link)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:37:y:1991:i:6:p:733-738
Access Statistics for this article
More articles in Management Science from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Matthew Walls ().