On decision-making in possibility theory

Vejnarová, Jiřina. "On decision-making in possibility theory." Kybernetika 51.3 (2015): 457-468. <http://eudml.org/doc/271661>.

@article{Vejnarová2015,
abstract = {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 set of 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.},
author = {Vejnarová, Jiřina},
journal = {Kybernetika},
keywords = {possibility measures and distributions; upper envelopes of probability distributions; decision functions; minimax principle; possibility measures and distributions; upper envelopes of probability distributions; decision functions; minimax principle},
language = {eng},
number = {3},
pages = {457-468},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On decision-making in possibility theory},
url = {http://eudml.org/doc/271661},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Vejnarová, Jiřina
TI - On decision-making in possibility theory
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 3
SP - 457
EP - 468
AB - 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 set of 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.
LA - eng
KW - possibility measures and distributions; upper envelopes of probability distributions; decision functions; minimax principle; possibility measures and distributions; upper envelopes of probability distributions; decision functions; minimax principle
UR - http://eudml.org/doc/271661
ER -