Abstract
The Evidential Reasoning for Multi Criteria Decision Analysis (ER-MCDA) is based on a mapping process transforming a possibility distribution into a Bayesian basic belief assignment (BBA) related to a qualitative frame of discernement (FoD). Each element of the FoD is a fuzzy set. A new improved mapping method is proposed to get a final potentially non-Bayesian BBA on the FoD. We apply it to assess the stability of protective check dams against torrential floods given their imprecise scouring rate.
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Notes
- 1.
Scouring is a process due to which the particles of the soil or rock under the check dam’s foundation gets eroded and removed over a certain depth called scour depth and over the foundation area called scouring rate. Scouring often occurs in torrent because of the velocity and energy of the flowing in steep slopes.
- 2.
The focal elements of a Bayesian BBA are only singletons of \(2^\varTheta \).
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Acknowledgments
The authors thank the support of both French Ministry for Agriculture, Forest (MAAF) and Environment (MEEM).
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Carladous, S., Tacnet, JM., Dezert, J., Dupouy, G., Batton-Hubert, M. (2016). A New ER-MCDA Mapping for Decision-Making Based on Imperfect Information. In: Vejnarová, J., Kratochvíl, V. (eds) Belief Functions: Theory and Applications. BELIEF 2016. Lecture Notes in Computer Science(), vol 9861. Springer, Cham. https://doi.org/10.1007/978-3-319-45559-4_5
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DOI: https://doi.org/10.1007/978-3-319-45559-4_5
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