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Decision-making under uncertainty processed by lattice-valued possibilistic measures. (English) Zbl 1249.28024

Summary: The notion and theory of statistical decision functions are re-considered and modified to the case when the uncertainties in question are quantified and processed using lattice-valued possibilistic measures, so emphasizing rather the qualitative than the quantitative properties of the resulting possibilistic decision functions. Possibilistic variants of both the minimax (the worst-case) and the Bayesian optimization principles are introduced and analyzed.

MSC:

28E10 Fuzzy measure theory
28E99 Miscellaneous topics in measure theory
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References:

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