A Fuzzy Data Envelopment Analysis Approach based on Parametric Programming

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

doi:10.15837/ijccc.2013.4.580

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 language	English
Pages (from-to)	594-607
Number of pages	14
Journal	International Journal of Computers Communications and Control
Volume	8
Issue number	4
DOIs	https://doi.org/10.15837/ijccc.2013.4.580
Publication status	Published - 1 Aug 2013
Externally published	Yes

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

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AU - Hashemi, Shide Sadat

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N2 - 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 andasymmetric 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.

AB - 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 andasymmetric 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.

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JO - International Journal of Computers Communications and Control

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A Fuzzy Data Envelopment Analysis Approach based on Parametric Programming

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