Abstract
In this paper we propose a new general method for decision-making under uncertainty based on the belief interval distance. We show through several simple illustrative examples how this method works and its ability to provide reasonable results.
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- 1.
The notation with hat indicates the decision taken. Here \(\hat{\theta }\) specifies that the decision taken is only a singleton of \(\varTheta \).
- 2.
This simple principle has also been proposed by Essaid et al. [26] using Jousselme’s distance.
- 3.
Empty set excluded.
- 4.
For instance, making a choice only among the singletons of \(2^\varTheta \).
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Dezert, J., Han, D., Tacnet, JM., Carladous, S., Yang, Y. (2016). Decision-Making with Belief Interval Distance. 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_7
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