Fuzzy trade-offs in data envelopment analysis

Mohammadreza Rafiee Sani and Mohammadreza Alirezaee

International Journal of Operational Research, 2017, vol. 30, issue 4, 540-553

Abstract: Production trade-offs represent simultaneous and possible changes to the inputs and outputs in the technology under consideration. However, since trade-offs are illative and subjective, in many real applications, the data of production trade-offs cannot be precisely measured. Occasionally, a crisp trade-off cannot reflect desirable judgment of expert. This paper develops the trade-off approach in data envelopment analysis (DEA) using imprecise trade-offs represented by fuzzy sets. We develop some fuzzy versions of trade-off DEA models by using some ranking methods based on the comparison of α-cuts. We show in numerical examples how our models become useful for detecting sensitive trade-offs. In other words, our approach can be seen as extension of the trade-off approach that provides users with models, which represent real evaluation of decision making units (DMU) with good judgments as possible trade-offs.

Keywords: fuzzy trade-offs; trade-off approach; data envelopment analysis; DEA; value judgment; fuzzy sets; operational research. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:30:y:2017:i:4:p:540-553

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