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On decision-making in possibility theory
- 1.0507259 - ÚTIA 2020 RIV CZ eng J - Journal Article
Vejnarová, Jiřina
On decision-making in possibility theory.
Kybernetika. Roč. 51, č. 3 (2015), s. 457-468. ISSN 0023-5954
R&D Projects: GA ČR GA13-20012S
Institutional support: RVO:67985556
Keywords : possibility measures and distributions * upper envelopes of probability distributions * decision functions * minimax principle
OECD category: Pure mathematics
Impact factor: 0.628, year: 2015
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2019/MTR/vejnarova-0507259.pdf http://www.kybernetika.cz/content/2015/3/457
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.
Permanent Link: http://hdl.handle.net/11104/0298573
Number of the records: 1