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Improving weak efficiency frontiers in the fuzzy data envelopment analysis models
Authors:Sahar Khoshfetrat  Sahand Daneshvar
Affiliation:Department of Mathematics, Islamic Azad University, Tabriz Branch, Tabriz, Iran
Abstract:
Evaluating the performance of activities or organization by common data envelopment analysis models requires crisp input/output data. However, the precise inputs and outputs of production processes cannot be always measured. Thus, the data envelopment analysis measurement containing fuzzy data, called “fuzzy data envelopment analysis”, has played an important role in the evaluation of efficiencies of real applications. This paper focuses on the fuzzy CCR model and proposes a new method for determining the lower bounds of fuzzy inputs and outputs. This improves the weak efficiency frontiers of the corresponding production possibility set. Also a numerical example illustrates the capability of the proposed method.
Keywords:Data envelopment analysis (DEA)   Fuzzy data envelopment analysis   Linear programming   Weak efficiency frontier   Facet analysis   Efficiency
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