Abstract
More and more multi-criteria problems are being analysed in an uncertain environment where the decision-making attributes’ exact values are not known. For this reason, new methods are also being developed that can assess alternatives in conditions of uncertainty. However, many methods evaluate alternatives not as an exact value but as a preference interval value. It raises the problem of how to rank the alternatives assessed as interval values finally.
In this paper, we propose a simple approach to ranking, where a matrix of the possibility degree values is created based on which the final ranking is obtained. Afterwards, we compare the rankings identified by using the proposed method with naive approaches. For this purpose, a short numerical example is presented, where seven different formulas of the possibility degree are involved. In this example, the interval assessment is obtained by using the COMET method and the obtained results are ranked and compared with naive approaches and reference ranking. The proposed approach is useful and straightforward for ranking alternatives under uncertain conditions.
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Acknowledgements
The work was supported by the National Science Centre, Decision number UMO-2018/29/B/HS4/02725.
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Shekhovtsov, A., Kizielewicz, B., Sałabun, W., Piegat, A. (2021). The Usage of Possibility Degree in the Multi-criteria Decision-Analysis Problems. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2021. Lecture Notes in Computer Science(), vol 12855. Springer, Cham. https://doi.org/10.1007/978-3-030-87897-9_30
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