Short Communication: A comment on "A comment on 'A fuzzy DEA/AR approach to the selection of flexible manufacturing systems"' and "A fuzzy DEA/AR approach to the selection of flexible manufacturing systems"

  • Authors:

  • Zhongbao Zhou;Wenyu Yang;Chaoqun Ma;Wenbin Liu

  • Affiliations:

  • School of Business Administration, Hunan University, Changsha 410082, China;School of Business Administration, Hunan University, Changsha 410082, China;School of Business Administration, Hunan University, Changsha 410082, China;Kent Business School, University of Kent, Canterbury CT2 7PE, UK

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2010

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Abstract

In a recent paper in this journal by Jahanshahloo et al. [Jahanshahloo, G. R., Sanei, M., Rostamy-Malkhalifeh, M., & Saleh, H. (2009). A comment on 'A fuzzy DEA/AR approach to the selection of flexible manufacturing systems'. Computers & Industrial Engineering, 56(4), 1713-1714]. They correct the proof of the Proposition 1 for finding lower and upper bounds of the @a-cut of E~r appeared in the previous paper by Liu [Liu, S. T. (2008). Fuzzy DEA/AR approach to the selection of flexible manufacturing systems. Computers & Industrial Engineering, 54, 66-79]. However, we find that both of the above proofs omit the verification of constraints of assurance regions, which makes them incredible. In this paper, we correct the proof of the proposition.