Volume 7 Number 10 (Oct. 2012)
Home > Archive > 2012 > Volume 7 Number 10 (Oct. 2012) >
JSW 2012 Vol.7(10): 2177-2181 ISSN: 1796-217X
doi: 10.4304/jsw.7.10.2177-2181

Determination of Weights for the Ultimate Cross Efficiency: A Use of Principal Component Analysis Technique

Qifa Qu
School of Management, University of Science and Technology of China

Abstract—Data Envelopment Analysis (DEA) has becoming more and more important in evaluating the performance of homogenous Decision Making Units (DMUs). Cross efficiency evaluation method, a DEA extension technique, can be utilized to identify efficient DMUs and to rank DMUs in a peer appraisal mode, instead of a pure self-evaluation of traditional DEA models. Traditionally, the ultimate cross efficiency is determined based on the average assumption. However it cannot ensure this result contains the most information of the cross-efficiency matrix (CEM). In the current paper, we use principal component analysis (PCA) to determine the ultimate cross-efficiency of each DMU and then rank them. Compared with the tradition average cross efficiency evaluation method, the method proposed in this paper can contain the most of the information of CEM. Finally, an empirical example is illustrated to examine the validity of the proposed method.

Index Terms—DEA; Cross-efficiency; Principal component analysis (PCA); Weights

[PDF]

Cite: Qifa Qu, "Determination of Weights for the Ultimate Cross Efficiency: A Use of Principal Component Analysis Technique," Journal of Software vol. 7, no. 10, pp. 2177-2181, 2012.

General Information

ISSN: 1796-217X (Online)
Frequency:  Bimonthly (Since 2020)
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, Google Scholar, ProQuest, INSPEC(IET), ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
  • Apr 26, 2021 News!

    Vol 14, No 4- Vol 14, No 12 has been indexed by IET-(Inspec)     [Click]

  • Jun 22, 2020 News!

    Papers published in JSW Vol 14, No 1- Vol 15 No 4 have been indexed by DBLP     [Click]

  • Sep 13, 2021 News!

    The papers published in Vol 16, No 6 have all received dois from Crossref    [Click]

  • Jan 28, 2021 News!

    [CFP] 2021 the annual meeting of JSW Editorial Board, ICCSM 2021, will be held in Rome, Italy, July 21-23, 2021   [Click]

  • Sep 13, 2021 News!

    Vol 16, No 6 has been published with online version     [Click]