Assessment of performance based on fuzzy Production Possibility Set
Subject Areas : International Journal of Data Envelopment Analysisfatemeh miryazdi 1 , Saber Saati 2 , Mohsen Rostamy 3
1 -
2 - Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran.
3 - Department of Mathematics, science and research Branch, Islamic Azad University, Tehran, Iran
Keywords: Data Envelopment Analysis, Fuzzy Data Envelopment Analysis, Efficiency, Production Possibility Set,
Abstract :
Data envelopment analysis is a non-parametric technique for measuring and evaluating the relative efficiency of a set of entities with deterministic and precise inputs and outputs. In fact, in a real evaluation problem, the input and output data have variability; this variable data can be represented in the form of linguistic variables defined by fuzzy numbers. The integration of deterministic data envelopment analysis models with concepts and approaches from the field of fuzzy mathematical programming in the form of fuzzy data envelopment analysis allows for the assessment of the efficiency of decision-making units in the presence of imprecise, ambiguous, and fuzzy data. Accordingly, in this paper, a fuzzy production possibility set in scale returns based on the established principles to address the efficiency evaluation problem with fuzzy input and output data is proposed, and subsequently, the fuzzy CCR model applied to this fuzzy production possibility set is introduced, followed by the calculation of efficiency in a fuzzy manner in the input-oriented state and the analysis of the FCCR model.
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