0507259 20240903170643.020190805235959.9 84940045199 000361266300006 10.14736/kyb-2015-3-0457 12 s. P cav_un_epca*02971630023-5954513 (2015)457-468Ústav teorie informace a automatizace AV ČR, v. v. i. possibility measures and distributions upper envelopes of probability distributions decision functions minimax principle cav_un_auth*0101223 Vejnarová Jiřina Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/vejnarova-0507259.pdf http://www.kybernetika.cz/content/2015/3/457 cav_un_auth*0292670 GA13-20012S GA ČR 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. WOS BA 10000 10100 10101 2020 1 RVO:67985556 http://hdl.handle.net/11104/0298573 S A COMPUTERSCIENCE.CYBERNETICS 0.578 0.031 999.9 0.00152 0.305 678 0.321 Q2 0.438 64 Q4 30.893 11.4 Q3 Q3 11.364 2015 84940045199 SCOPUS PUBMED 000361266300006 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 51 č. 3 2015 457 468 Ústav teorie informace a automatizace AV ČR, v. v. i.