| Article ID: | iaor200912336 |
| Country: | United States |
| Volume: | 139 |
| Issue: | 2 |
| Start Page Number: | 361 |
| End Page Number: | 378 |
| Publication Date: | Nov 2008 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Wu H C |
| Keywords: | fuzzy sets |
Scalarization of fuzzy multiobjective programming problems using the embedding theorem and the concept of convex cone (ordering cone) is proposed in this paper. Since the set of all fuzzy numbers can be embedded into a normed space, this motivation naturally inspires us to invoke the scalarization techniques in vector optimization problems to evaluate the a multiobjective programming problem. Two solution concepts are proposed in this paper by considering different convex cones.