TY - CHAP

T1 - Dominance-based rough set approach to preference learning from pairwise comparisons in case of decision under uncertainty

AU - Greco, Salvatore

AU - Matarazzo, B.

AU - Slowinski, R.

PY - 2010/7

Y1 - 2010/7

N2 - We deal with preference learning from pairwise comparisons, in case of decision under uncertainty, using a new rough set model based on stochastic dominance applied to a pairwise comparison table. For the sake of simplicity we consider the case of traditional additive probability distribution over the set of states of the world; however, the model is rich enough to handle non-additive probability distributions, and even qualitative ordinal distributions. The rough set approach leads to a representation of decision maker’s preferences under uncertainty in terms of "if..., then..." decision rules induced from rough approximations of sets of exemplary decisions. An example of such decision rule is "if act a is at least strongly preferred to act a′ with probability at least 30%, and a is at least weakly preferred to act a′ with probability at least 60%, then act a is at least as good as act a′."

AB - We deal with preference learning from pairwise comparisons, in case of decision under uncertainty, using a new rough set model based on stochastic dominance applied to a pairwise comparison table. For the sake of simplicity we consider the case of traditional additive probability distribution over the set of states of the world; however, the model is rich enough to handle non-additive probability distributions, and even qualitative ordinal distributions. The rough set approach leads to a representation of decision maker’s preferences under uncertainty in terms of "if..., then..." decision rules induced from rough approximations of sets of exemplary decisions. An example of such decision rule is "if act a is at least strongly preferred to act a′ with probability at least 30%, and a is at least weakly preferred to act a′ with probability at least 60%, then act a is at least as good as act a′."

U2 - 10.1007/978-3-642-14049-5_60

DO - 10.1007/978-3-642-14049-5_60

M3 - Chapter (peer-reviewed)

SN - 9783642140488

VL - 6178

T3 - Lecture notes in computer science

SP - 584

EP - 594

BT - Computational intelligence for knowledge-based systems design: 13th international conference on information processing and management of uncertainty

A2 - Hullermeier, E.

A2 - Kruse, R.

A2 - Hoffmann, F.

PB - Springer

CY - Berlin

ER -