| publication name | Interactive Approach for Multi-Level Multi-Objective Fractional Programming Problems with Fuzzy Parameters |
|---|---|
| Authors | M.S. Osman; O.E. Emam; M.A. Elsayed |
| year | 2017 |
| keywords | Multi-level programming; Multi-objective programming; Fractional programming; Fuzzy parameters; |
| journal | Beni-Suef University Journal of Basic and Applied Sciences |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | elsevier |
| Local/International | International |
| Paper Link | https://www.sciencedirect.com/science/article/pii/S2314853517301488 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, an interactive approach for solving multi-level multi-objective fractional programming (ML-MOFP) problems with fuzzy parameters is presented. The proposed interactive approach makes an extended work of Shi and Xia (1997). In the first phase, the numerical crisp model of the ML-MOFP problem has been developed at a confidence level without changing the fuzzy gist of the problem. Then, the linear model for the ML-MOFP problem is formulated. In the second phase, the interactive approach simplifies the linear multi-level multi-objective model by converting it into separate multiobjective programming problems. Also, each separate multi-objective programming problem of the linear model is solved by the -constraint method and the concept of satisfactoriness. Finally, illustrative examples and comparisons with the previous approaches are utilized to evince the feasibility of the proposed approach.