A novel fuzzy non-radial data envelopment analysis: An application in transportation
| Autor: | Trilok Mathur, Deepak Mahla, Shivi Agarwal |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Uncertain data Computer science Stability (learning theory) Efficient frontier 02 engineering and technology Transportation theory Management Science and Operations Research Missing data Fuzzy logic Computer Science Applications Theoretical Computer Science 020901 industrial engineering & automation Robustness (computer science) 0202 electrical engineering electronic engineering information engineering Data envelopment analysis 020201 artificial intelligence & image processing |
| Zdroj: | RAIRO - Operations Research. 55:2189-2202 |
| ISSN: | 1290-3868 0399-0559 |
| Popis: | The slack-based measure (SBM) DEA model is a non-radial model used to calculate the relative efficiency, input, and output targets of the different decision-making units (DMUs) based on their best peers or efficient frontier. The conventional SBM DEA model used crisp inputs and outputs. But, it can be observed in real-life problems that sometimes the available data is in linguistic forms such as “few”, “many”, “small”, or missing data. The DEA technique is frontier based, and therefore, imprecise data may lead to untenable results. Fuzzy theory, which is already established to handle uncertain data, can overcome this problem. Furthermore, the sensitivity and stability analysis have been checked the robustness of fuzzy DEA models. In this study, sensitivity and stability analysis of the fuzzy SBM DEA has been performed. The lower and upper sensitive bounds for inputs and outputs variables have been obtained for both the inefficient and efficient DMUs to calculate the input and output targets. Finally, a real-life transportation problem for the validity of the study is presented for its depiction. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|