Sensitivity analysis of the additive model in data envelopment analysis while inputs and outputs are fuzzy data
| Autor: | M. Alimardani Jondabeh, Mahsa Faizrahnemoon, F. Hosseinzadeh Lotfi |
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| Rok vydání: | 2012 |
| Předmět: |
Mathematical optimization
Applied Mathematics Value (computer science) Computer Science Applications Core (game theory) Computational Theory and Mathematics Margin (machine learning) Control theory Data envelopment analysis Fuzzy number State (computer science) Sensitivity (control systems) Additive model Mathematics |
| Zdroj: | International Journal of Computer Mathematics. 89:625-638 |
| ISSN: | 1029-0265 0020-7160 |
| DOI: | 10.1080/00207160.2011.648185 |
| Popis: | Data envelopment analysis (DEA) requires input and output data to be precisely known. This is not always the case in real applications. Sensitivity analysis of the additive model in DEA is studied in this paper while inputs and outputs are symmetric triangular fuzzy numbers. Sufficient conditions for simultaneous change of all outputs and inputs of an efficient decision-making unit (DMU) which preserves efficiency are established. Two kinds of changes on inputs and outputs are considered. For the first state, changes are exerted on the core and margin of symmetric triangular fuzzy numbers so that the value of inputs increase and the value of outputs decrease. In the second state, a non-negative symmetric triangular fuzzy number is subtracted from outputs to decrease outputs and it is added to inputs to increase inputs. A numerical illustration is provided. |
| Databáze: | OpenAIRE |
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