Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1016/S0377-2217(00)00031-X | European Journal of Operational Research |
Keywords | Field | DocType |
Fuzzy sets,Triangular norm,OWA operator,Leximin ranking,Optimization | Mathematical optimization,Ranking,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
130 | 1 | 0377-2217 |
Citations | PageRank | References |
17 | 2.44 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Didier Dubois | 1 | 10855 | 1320.77 |
| Philippe Fortemps | 2 | 528 | 57.91 |
| Marc Pirlot | 3 | 333 | 39.10 |
| Henri Prade | 4 | 10549 | 1445.02 |