Abstract
This paper considers a multi-criteria mathematical decision model including fuzzy variables. As the proposed model is not well-defined due to fuzzy variables, thus to solve them directly and analytically, the possibility measure is introduced. Then, in order to aggregate the multi-criteria objective functions into the single-criterion, the fuzzy compromise programming model is proposed. Furthermore, by introducing the interval of each weight to the objective functions, the proposed model is reformulated as a robust programming problem. Since this problem is a semi-infinite programming problem, the an efficient algorithm is developed using the linearity of the proposed model. Finally, a numerical example is provided to compare proposed models with the basic model.
| Original language | English |
|---|---|
| Pages (from-to) | 4907-4914 |
| Number of pages | 8 |
| Journal | International Journal of Innovative Computing, Information and Control |
| Volume | 5 |
| Issue number | 12 |
| Publication status | Published - 2009 Dec 1 |
| Externally published | Yes |
Keywords
- Multi-criteria programming
- Possibility programming
- Robust programming
- Semi-infinite programming
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Information Systems
- Computational Theory and Mathematics