Cross-efficiency in DEA: A maximum resonated appreciative model

Muhittin Oral, Gholam R. Amin*, Amar Oukil

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)


The occurrence of multiple optimal solutions is an important and interesting issue in data envelopment analysis (DEA), for it allows flexibility to estimate the optimal cross-efficiencies of all decision making units (DMUs). This paper uses the advantage of multiple optimal solutions, be in the cases of efficient and/or inefficient DMUs, to integrate both the first and second-order voices of all DMUs and proposes a most appreciative cross-efficiency DEA method. The paper deals with multiple optimal solution cases within the context of cross-efficiency models and suggest a model that is most appreciative for all DMUs being cross-evaluated by all others. The merits and appreciative superiority of the proposed method is proven theoretically; and illustrated practically through a ranking study chosen from the literature.

Original languageEnglish
Pages (from-to)159-167
Number of pages9
JournalMeasurement: Journal of the International Measurement Confederation
Publication statusPublished - Mar 2015


  • Cross efficiency
  • Data envelopment analysis
  • Maximum resonated appreciation
  • Multiple optimal solutions
  • Ranking

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering


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