2008
DOI: 10.1016/j.cie.2007.06.035
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A fuzzy DEA/AR approach to the selection of flexible manufacturing systems

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Cited by 153 publications
(68 citation statements)
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“…Saati and Memariani [33] proposed a technique for finding a common set of weights in fuzzy DEA based on the -level approach with triangular fuzzy data. Liu [34] suggested a fuzzy DEA procedure to obtain the efficiency measures embedded with assurance region (AR) concept when some observations were triangular fuzzy numbers. He combined the  -level approach and the extension principle to transform the fuzzy DEA/AR model into a pair of parametric mathematical programs and worked out the lower and upper bounds of the efficiency scores of the DMUs.…”
Section: Dea and Fdea Modelsmentioning
confidence: 99%
“…Saati and Memariani [33] proposed a technique for finding a common set of weights in fuzzy DEA based on the -level approach with triangular fuzzy data. Liu [34] suggested a fuzzy DEA procedure to obtain the efficiency measures embedded with assurance region (AR) concept when some observations were triangular fuzzy numbers. He combined the  -level approach and the extension principle to transform the fuzzy DEA/AR model into a pair of parametric mathematical programs and worked out the lower and upper bounds of the efficiency scores of the DMUs.…”
Section: Dea and Fdea Modelsmentioning
confidence: 99%
“…In one of the most cited studies Ertay et al [214] integrate fuzzy DEA with AHP method for facility layout design which can handle both qualitative and quantitative data. In another study, Liu [215] develops a fuzzy DEA/AR method which can evaluate the performance of flexible manufacturing system alternatives where the input and output data can be fuzzy as well as crisp values. Wu [216] proposes an integrated technique using data envelopment analysis and fuzzy preference relations to rate decision alternatives.…”
Section: Dematel (Decision Making Trial and Evaluationmentioning
confidence: 99%
“…Under such circumstances, the fuzzy set theory can be incorporated into the DEA/AR model. Liu [14] developed a fuzzy DEA/AR method to evaluate the performance of flexible manufacturing system (FMS) alternatives when the input and output data contained crisp and fuzzy data. A pair of two-level mathematical programs was formulated to calculate the lower and upper bounds of the fuzzy efficiency score of the alternatives based on the extension principle [22].…”
Section: Weights Of Inputs/outputs In Deamentioning
confidence: 99%
“…The above primal model is difficult to solve, and the dual problem of the LP is proposed [12][13][14]:…”
Section: Data Envelopment Analysismentioning
confidence: 99%
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