Stochastic multicriteria acceptability analysis using the data envelopment model |
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| Institution: | 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;1. New Mexico Institute of Mining & Technology, Department of Management, 801 Leroy Place, Socorro, NM, 87801, USA;2. Tokyo Institute of Technology, Department of Value and Decision Science, Graduate School of Decision Science and Technology, W9-41, 2-12-1, Ookayama, Meguro-ku, Tokyo 152-8552, Japan |
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| Abstract: | Data envelopment analysis (DEA) and stochastic multicriteria acceptability analysis (SMAA-2) are methods for evaluating alternatives based on multiple criteria. While DEA is mainly an ex-post tool used for classifying alternatives into efficient and inefficient ones, SMAA-2 is an ex-ante tool for supporting multiple criteria decision-making. Both methods use a kind of value function where the importance of criteria is modeled using weights. Unlike many other methods, neither DEA nor SMAA-2 requires decision-makers’ weights as input. Instead, these so-called non-parametric methods explore the weight space in order to identify weights favorable for each alternative. This paper introduces the SMAA-D method, which is a combination of DEA and SMAA-2. SMAA-D can be characterized as an extension of DEA to handle uncertain or imprecise data to provide stochastic efficiency measures. Alternatively, the combined method can be seen as a variant of SMAA-2 with a DEA-type value function. |
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