On decision-making in possibility theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00507259" target="_blank" >RIV/67985556:_____/15:00507259 - isvavai.cz</a>
Result on the web
<a href="http://www.kybernetika.cz/content/2015/3/457" target="_blank" >http://www.kybernetika.cz/content/2015/3/457</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2015-3-0457" target="_blank" >10.14736/kyb-2015-3-0457</a>

Result language
angličtina
Original language name
On decision-making in possibility theory
Original language description
We present an alternative approach to decision-making in the framework of possibility theory, based on the idea of decision-making under uncertainty. We utilize the fact, that any possibility distribution can be viewed as an upper envelope of a setof probability distributions to which well-known minimax principle is applicable. Finally, we recall also an alternative to the minimax rule, so-called local minimax principle. Local minimax principle not only allows sequential construction of decision function, but also appears to play an important role exactly in the framework of possibility theory due to its sensitivity. Furthermore, the optimality of a decision function is easily verifiable.n
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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