A fuzzy method for measuring efficiency under fuzzy environment

Authors:
Hsuan-Shih Lee;Pei-Di Shen;Wen-Li Chyr
Affiliations:
Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung, Taiwan;Department of Information Management, Ming Chung University, Taipei, Taiwan;Graduate School of Management, Ming Chung University, Taipei, Taiwan
Venue:
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part II
Year:
2005

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Abstract

DEA (data envelopment analysis) is a non-parametric technique for measuring and evaluating the relative efficiencies of a set of decision-making units (DMUs) in terms of a set of common inputs and outputs. Traditionally, the data of inputs and outputs are assumed to be measured with precision, i.e., the coefficients of DEA models are crisp value. However, this may not be always true. There are many circumstances where precise inputs and outputs can not be obtained. Under such situations, data of inputs and outputs can be represented by fuzzy numbers. Based on the dual program of DEA models, we propose fuzzy DEA models for CCR and BCC models. Our fuzzy DEA models provide crisp efficiency with fuzzy input and output data.