Article ID: | iaor19951504 |
Country: | United Kingdom |
Volume: | 45 |
Issue: | 11 |
Start Page Number: | 1324 |
End Page Number: | 1334 |
Publication Date: | Nov 1994 |
Journal: | Journal of the Operational Research Society |
Authors: | Nadeau R., Ben Abdelaziz F., Lang P. |
Keywords: | programming: probabilistic |
In most of the approaches to the Multiobjective Stochastic Linear Programming problem that have been proposed in the literature, the notion of quality of a solution is not adequately defined. This paper reconsiders this problem from a decision point of view, in contexts where either the decision maker’s preference structure cannot be described by a utility function, or where this structure is expressed by an unknown non-decreasing utility function and the probability distribution of the random parameters is unknown. The paper defines a fundamental set of ‘pointwise admissible’ solutions, as well as several subsets of particular interest. It discusses the relevance of these various pointwise efficient sets, their interrelations, and their practical identification.