Article ID: | iaor20083404 |
Country: | Netherlands |
Volume: | 154 |
Issue: | 1 |
Start Page Number: | 133 |
End Page Number: | 147 |
Publication Date: | Oct 2007 |
Journal: | Annals of Operations Research |
Authors: | Pardalos Panos M., Chinchuluun Altannar, Yuan Dehui |
Keywords: | decision theory: multiple criteria |
In this paper, we consider nondifferentiable multiobjective fractional programming problems. A concept of generalized convexity, which is called (C,α,ρ,d)-convexity, is first discussed. Based on this generalized convexity, we obtain efficiency conditions for multiobjective fractional programming (MFP). Furthermore, we establish duality results for three types of dual problems of (MFP) and present the corresponding duality theorems.