Ranking efficient decision-making units in data envelopment analysis using fuzzy concept

Authors:
Majid Zerafat Angiz L.;Adli Mustafa;Ali Emrouznejad
Affiliations:
School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia and Department of Mathematics, Islamic Azad University, Firouzkooh, Iran;School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia;Aston Business School, Aston University, Birmingham, UK
Venue:
Computers and Industrial Engineering
Year:
2010

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Abstract

This paper introduces a new mathematical method for improving the discrimination power of data envelopment analysis and to completely rank the efficient decision-making units (DMUs). Fuzzy concept is utilised. For this purpose, first all DMUs are evaluated with the CCR model. Thereafter, the resulted weights for each output are considered as fuzzy sets and are then converted to fuzzy numbers. The introduced model is a multi-objective linear model, endpoints of which are the highest and lowest of the weighted values. An added advantage of the model is its ability to handle the infeasibility situation sometimes faced by previously introduced models.