Rank order data in DEA: A general framework |
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| Institution: | 1. Decision-Aid Department, Center for Naval Systems Analysis, Praça Barão de Ladário, s/n, Ilha das Cobras, Centro, 20091000 Rio de Janeiro, RJ, Brazil;2. Production Engineering Department, Fluminense Federal University, Rua Passo da Pátria 156, São Domingos, 24210240 Niterói, RJ, Brazil;1. Department of Systems Engineering, Faculty of Economics, V?B-Technical University of Ostrava, Sokolska t?ída 33, 702 00, Ostrava, Czech Republic;2. Department of Mathematics, Islamic Azad University, Sirjan Branch, Sirjan, Iran;3. Department of Strategic Management and Marketing, Leicester Business School, De Montfort University, Hugh Aston Building, The Gateway, LE1 9BH Leicester, UK\n |
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| Abstract: | In data envelopment analysis (DEA), performance evaluation is generally assumed to be based upon a set of quantitative data. In many real world settings, however, it is essential to take into account the presence of qualitative factors when evaluating the performance of decision making units (DMUs). Very often rankings are provided from best to worst relative to particular attributes. Such rank positions might better be presented in an ordinal, rather than numerical sense. The paper develops a general frame work for modeling and treating qualitative data in DEA and provides a unified structure for embedding rank order data into the DEA framework. The existing techniques are discussed and their equivalence is demonstrated. Both continuous and discrete projection models are provided. It is shown that qualitative data can be treated in conventional DEA methodology. |
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