Leximax relations in decision making through the dominance plausible rule

Authors:
Franklin Camacho;Ramón Pino Pérez
Affiliations:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela;Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela
Venue:
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Year:
2011

Citing 5
Cited 0

Qualitative decision theory: from savage's axioms to nonmonotonic reasoning

Journal of the ACM (JACM)
Qualitative decision theory with preference relations and comparative uncertainty: an axiomatic approach

Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
A big-stepped probability approach for discovering default rules

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Intelligent information systems
A unified framework for order-of-magnitude confidence relations

UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
Qualitative models for decision under uncertainty without the commensurability assumption

UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence

Quantified Score

Hi-index	0.00

Visualization

Abstract

In qualitative decision theory, a very natural way of defining preference relations ≥ over the policies (acts) is by using the so called Dominance Plausible Rule. To do that, we need a relation over the consequences and a relation ⊇ over the events. Very interesting axiomatic characterizations, à la Savage, have been established for these decision relations [6,7]. Namely, when the relation ⊇ is a possibilistic relation. Unfortunately, this kind of decision relation is not discriminant enough. We have searched for decision rules that discriminate more than those defined through a possibilistic relation. In particular, in this work, we study decision relations defined by the Dominance Plausible Rule using a leximax relation ⊇. We give an axiomatic characterization of these decision relations.