Geodesic
Decision-making under uncertainty processed by lattice-valued possibilistic measures
Kybernetika, Tome 42 (2006) no. 6, pp. 629-646

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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.
Classification : 28E10, 28E99, 91B06
Keywords: decision making under uncertainty; complete lattice; lattice- valued possibilistic measures; possibilistic decision function; minimax and Bayesian optimization 
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     author = {Kramosil, Ivan},
     title = {Decision-making under uncertainty processed by lattice-valued possibilistic measures},
     journal = {Kybernetika},
     pages = {629--646},
     publisher = {mathdoc},
     volume = {42},
     number = {6},
     year = {2006},
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     zbl = {1249.28024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_6_a0/}
}
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Kramosil, Ivan. Decision-making under uncertainty processed by lattice-valued possibilistic measures. Kybernetika, Tome 42 (2006) no. 6, pp. 629-646. http://geodesic.mathdoc.fr/item/KYB_2006__42_6_a0/