Document Type : Research Paper


1 Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran

2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshahr, Iran


The existing Data Envelopment Analysis models for evaluating
the relative eciency of a set of decision making units by using various inputs
to produce various outputs are limited to crisp data in crisp production possibility
set. In this paper, rst of all the production possibility set is extended
to the fuzzy production possibility set by extension principle in constant return
to scale, and then the fuzzy model of Charnes, Cooper and Rhodes in
input oriented is proposed so that it satis es the initial concepts with crisp
data. Finally, the fuzzy model of Charnes, Cooper and Rhodes for evaluating
decision making units is illustrated by solving two numerical examples.


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