A Fuzzy Data Envelopment Analysis Approach based on Parametric Programming

Seyed Hossein Razavi Hajiagha, Hannan Amoozad Mahdiraji, Edmundas Kazimieras Zavadskas, Shide Sadat Hashemi

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Abstract

In this paper, a fuzzy version of original data envelopment models, CCR and BCC, is extended and its solution approach is developed. The basic idea of the proposed method is to transform the original DEA model to an equivalent linear parametric programming model, applying the notion of α-cuts. Then, a bi-objective model is constructed which its solution has determined the optimal range of decision making units efficiency. The proposed method can be used both for symmetric and
asymmetric fuzzy numbers, while the feasibility of its solution for the original problem is guaranteed. The application of the proposed method is examined in two numerical examples and its results are compared with two current models of fuzzy DEA.
Original languageEnglish
Pages (from-to)594-607
Number of pages14
JournalInternational Journal of Computers Communications and Control
Volume8
Issue number4
DOIs
Publication statusPublished - 1 Aug 2013
Externally publishedYes

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Data envelopment analysis
Decision making

Bibliographical note

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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A Fuzzy Data Envelopment Analysis Approach based on Parametric Programming. / Hajiagha, Seyed Hossein Razavi; Amoozad Mahdiraji, Hannan ; Zavadskas, Edmundas Kazimieras; Hashemi, Shide Sadat.

In: International Journal of Computers Communications and Control, Vol. 8, No. 4, 01.08.2013, p. 594-607.

Research output: Contribution to journalArticle

Hajiagha, Seyed Hossein Razavi ; Amoozad Mahdiraji, Hannan ; Zavadskas, Edmundas Kazimieras ; Hashemi, Shide Sadat. / A Fuzzy Data Envelopment Analysis Approach based on Parametric Programming. In: International Journal of Computers Communications and Control. 2013 ; Vol. 8, No. 4. pp. 594-607.
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