On quasi-orderings and multi-objective functions

To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.ejor.2005.10.015 Byline: B. Kaminski Keywords: Multi-objective function; Quasi-ordering; Preference representation; Uncertainty modeling Abstract: In the paper the relationship between quasi-orderings (i.e. transitive and reflexive relations) and multi-objective functions (i.e. functions being a finite vector of continuous value functions) is investigated. A characterization of quasi-orderings representable by multi-objective functions is given. Within the introduced theoretical framework it is, in particular, shown that preferences implied by a first order stochastic dominance relation cannot be represented by multi-objective functions. Author Affiliation: Decision Analysis and Support Department, Warsaw School of Economics, Al. Niepodleglosci 162, 02-554 Warsaw, Poland