EFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET

Authors

  • F. Hosseinzadeh Lotfi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • T. Allahviranloo Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran
Abstract:

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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Journal title

volume 9  issue 4

pages  17- 30

publication date 2012-10-01

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