A modification on 'ranking DMUs by L 1 -norm' and introducing a novel ranking method by Tchebycheff norm with fuzzy data in DEA

Babooshka Shavazipour (), Hamed Zhiani Rezai and Alireza Davoodi

International Journal of Operational Research, 2017, vol. 28, issue 4, 528-550

Abstract: Jahanshahloo et al. (2009) proposed a ranking model to efficient decision-making units (DMUs) including fuzzy data. The aforementioned method is based on L₁-norm measure combined with the weighted signed distance between two fuzzy numbers. Firstly, it is shown by an example that the proposed method may not work correctly. And then, the modification of the method is presented in this paper. What is more, for more extension, another approach is introduced to ranking extremely efficient decision-making units in data envelopment analysis (DEA) models with fuzzy data. This approach is based on the Tchebycheff norm (infinity norm). Then, it is shown that this new model can address some shortcoming of the L₁-norm proposed by previous authors. Finally, to demonstrate the concept, the case of 30 branches of social welfare bureau in Tehran is revisited and solutions are compared.

Keywords: data envelopment analysis; DEA; DMU ranking; fuzzy data; efficiency; decision-making units; DMUs; Tchebycheff norm; fuzzy logic; social welfare bureaux; Iran. (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=82619 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:28:y:2017:i:4:p:528-550

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().