All Outputs (114)

Finite approximations to coherent choice (2009)
Journal Article
Troffaes, M. (2009). Finite approximations to coherent choice. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 50(4), 655-665. https://doi.org/10.1016/j.ijar.2008.07.001

This paper studies and bounds the effects of approximating loss functions and credal sets on choice functions, under very weak assumptions. In particular, the credal set is assumed to be neither convex nor closed. The main result is that the effects... Read More about Finite approximations to coherent choice.

Imprecision in Statistical Theory and Practice (2009)
Journal Article
Coolen-Schrijner, P., Coolen, F. P., Troffaes, M. C., & Augustin, T. (2009). Imprecision in Statistical Theory and Practice. Journal of statistical theory and practice, 3(1), 1-9

Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data (2009)
Journal Article
Troffaes, M., & Coolen, F. (2009). Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 50(2), 257-268. https://doi.org/10.1016/j.ijar.2008.03.013

Imprecise probabilistic methods in reliability provide exciting opportunities for dealing with partial observations and incomplete knowledge on dependencies in failure data. In this paper, we explore the use of the imprecise Dirichlet model for deali... Read More about Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data.

An efficient normal form solution to decision trees with lower previsions. (2008)
Presentation / Conference Contribution
Huntley, N., & Troffaes, M. (2008). An efficient normal form solution to decision trees with lower previsions.

Decision trees are useful graphical representations of sequential decision problems. We consider decision trees where events are assigned imprecise probabilities, and examine their normal form decisions; that is, scenarios in which the subject initia... Read More about An efficient normal form solution to decision trees with lower previsions..

n-Monotone exact functionals (2008)
Journal Article
de Cooman, G., Troffaes, M., & Miranda, E. (2008). n-Monotone exact functionals. Journal of Mathematical Analysis and Applications, 347(1), 143-156. https://doi.org/10.1016/j.jmaa.2008.05.071

We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise coherence and natural extension in the behavioural theo... Read More about n-Monotone exact functionals.

Generalised p-boxes on totally ordered spaces. (2008)
Presentation / Conference Contribution
Miranda, E., Troffaes, M., & Destercke, S. (2008). Generalised p-boxes on totally ordered spaces.

Probability boxes are among the most simple and popular models used in imprecise probability theory, and many practical results concerning them exist in the literature. Nevertheless, little attention has been paid to their formal characterisation in... Read More about Generalised p-boxes on totally ordered spaces..

A unifying approach to integration for bounded positive charges (2008)
Journal Article
de Cooman, G., Troffaes, M., & Miranda, E. (2008). A unifying approach to integration for bounded positive charges. Journal of Mathematical Analysis and Applications, 340(2), 982-999. https://doi.org/10.1016/j.jmaa.2007.09.026

This paper deals with n-monotone functionals, which constitute a generalisation of n-monotone set functions. Using the notion of exactness of a functional, we introduce a new notion of lower and upper integral which subsumes as particular cases most... Read More about A unifying approach to integration for bounded positive charges.

Finite approximations to coherent choice. (2007)
Presentation / Conference Contribution
Troffaes, M. C. (2007). Finite approximations to coherent choice. In G. D. C. de Cooman, J. Vejnarova, & M. Zaffalon (Eds.),

On the use of the imprecise Dirichlet model in fault trees. (2007)
Presentation / Conference Contribution
Troffaes, M. C., & Coolen, F. P. (2007). On the use of the imprecise Dirichlet model in fault trees.

Decision making under uncertainty using imprecise probabilities (2007)
Journal Article
Troffaes, M. C. (2007). Decision making under uncertainty using imprecise probabilities. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 45(1), 17-29. https://doi.org/10.1016/j.ijar.2006.06.001

Various ways for decision making with imprecise probabilities—admissibility, maximal expected utility, maximality, E-admissibility, Gamma-maximax, Gamma-maximin, all of which are well known from the literature—are discussed and compared. We generalis... Read More about Decision making under uncertainty using imprecise probabilities.

Conditional Lower Previsions for Unbounded Random Quantities (2006)
Presentation / Conference Contribution
Troffaes, M. C. (2006). Conditional Lower Previsions for Unbounded Random Quantities. In J. Lawry, E. Miranda, A. Bugarin, S. Li, M. Ángeles Gil, P. Grzegorzewski, & O. Hryniewicz (Eds.),

In this paper, a theory of conditional coherent lower previsions for arbitrary random quantities, including unbounded ones, is introduced, based on Williams's notion of coherence, and extending at the same time unconditional theories studied for unbo... Read More about Conditional Lower Previsions for Unbounded Random Quantities.

Generalizing The Conjunction Rule for Aggregating Conflicting Expert Opinions (2006)
Journal Article
Troffaes, M. C. (2006). Generalizing The Conjunction Rule for Aggregating Conflicting Expert Opinions. International Journal of Intelligent Systems, 21(3), 361-380. https://doi.org/10.1002/int.20140

In multiagent expert systems, the conjunction rule is commonly used to combine expert information represented by imprecise probabilities. However, it is well known that this rule cannot be applied in the case of expert conflict. In this article, we p... Read More about Generalizing The Conjunction Rule for Aggregating Conflicting Expert Opinions.

Efficient and Robust Global Amino Acid Sequence Alignment with Uncertain Evolutionary Distances (2006)
Book Chapter
Troffaes, M. C. (2006). Efficient and Robust Global Amino Acid Sequence Alignment with Uncertain Evolutionary Distances. In B. Bouchon-Meunier, G. Coletti, & R. Yager (Eds.), Modern Information Processing: From Theory to Applications (371-381). Elsevier

Optimality, Uncertainty, and Dynamic Programming with Lower Previsions (2005)
Thesis
Troffaes, M. C. (2005). Optimality, Uncertainty, and Dynamic Programming with Lower Previsions. (Thesis). Department of Electrical Energy, Systems & Automation, Universiteit Gent. Retrieved from https://durham-repository.worktribe.com/output/1618118

n-Monotone lower previsions (2005)
Journal Article
De Cooman, G., Troffaes, M. C., & Miranda, E. (2005). n-Monotone lower previsions. Journal of Intelligent & Fuzzy Systems, 16(4), 253-263

We study n-monotone lower previsions, which constitute a generalisation of n-monotone lower probabilities. We investigate their relation with the concepts of coherence and natural extension in the behavioural theory of imprecise probabilities, and im... Read More about n-Monotone lower previsions.

n-Monotone lower previsions and lower integrals (2005)
Presentation / Conference Contribution
De Cooman, G., Troffaes, M. C., & Miranda, E. (2005). n-Monotone lower previsions and lower integrals. In F. G. Cozman, R. Nau, & T. Seidenfeld (Eds.),

Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain (2005)
Journal Article
De Cooman, G., & Troffaes, M. C. (2005). Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 39(2-3), 257-278. https://doi.org/10.1016/j.ijar.2004.10.004

We generalise the optimisation technique of dynamic programming for discrete-time systems with an uncertain gain function. We assume that uncertainty about the gain function is described by an imprecise probability model, which generalises the well-k... Read More about Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain.

Decision Making with Imprecise Probabilities: A Short Review (2004)
Other
Troffaes, M. C. (2004). Decision Making with Imprecise Probabilities: A Short Review

Learning and Optimal Control of Imprecise Markov Decision Processes by Dynamic Programming Using the Imprecise Dirichlet Model (2004)
Presentation / Conference Contribution
Troffaes, M. C. (2004). Learning and Optimal Control of Imprecise Markov Decision Processes by Dynamic Programming Using the Imprecise Dirichlet Model. In L. Miguel, M. A. Gil, P. Grzegorzewski, O. Hyrniewicz, & J. Lawry (Eds.),

Coherent lower previsions in systems modelling: products and aggregation rules (2004)
Journal Article
De Cooman, G., & Troffaes, M. C. (2004). Coherent lower previsions in systems modelling: products and aggregation rules. Reliability Engineering & System Safety, 85(1-3), 113-134. https://doi.org/10.1016/j.ress.2004.03.007

We discuss why coherent lower previsions provide a good uncertainty model for solving generic uncertainty problems involving possibly conflicting expert information. We study various ways of combining expert assessments on different domains, such as... Read More about Coherent lower previsions in systems modelling: products and aggregation rules.