Article ID: | iaor20091406 |
Country: | India |
Volume: | 45 |
Issue: | 2 |
Start Page Number: | 119 |
End Page Number: | 138 |
Publication Date: | Jun 2008 |
Journal: | OPSEARCH |
Authors: | Osman M.S.A., Abdel-Fadel A.M.A., El-Sersy K.F., Ibraheem N.M.A. |
Keywords: | fuzzy sets |
This paper deals with Bicriterion mathematical programming problems with fuzzy numbers in the two objectives and free parameters in the right hand side of the constraints. An algorithm is proposed to find an α-Pareto Optimal Solution and the corresponding Stability Set of First Kind. Some basic stability notions are defined and characterized for the problem of concern. Finally, an illustrative nonlinear numerical example is given to clarify the algorithm.