| Article ID: | iaor20014103 |
| Country: | Netherlands |
| Volume: | 130 |
| Issue: | 1 |
| Start Page Number: | 20 |
| End Page Number: | 28 |
| Publication Date: | Apr 2001 |
| Journal: | European Journal of Operational Research |
| Authors: | Dubois Didier, Prade Henri, Pirlot Marc, Fortemps Philippe H. |
| Keywords: | programming: multiple criteria |
The leximin ranking of vectors of values taken from a totally ordered set is sometimes encountered in fields like operational research, social choice or numerical analysis, but has seldom been studied in connexion with fuzzy optimization. In this paper we prove that a leximin-optimal solution to a vector ranking problem on the unit hypercube can be obtained as the limit of optimal solutions to a problem of fuzzy multiple criteria optimization where fuzzy sets are aggregated either using a triangular norm or a generalized mean or an ordered weighted average (OWA) operation.