A differential equation approach to fuzzy vector optimization problems and sensitivity analysis
The first objective of the analysis presented in this paper is to extend the technique while using differential equations approach for solving fuzzy non-linear programming problem in solving vector optimization problems with fuzzy parameters (VOP-FP). This technique is based mainly on using differential equations approach, which is very effective in finding many local alpha -Pareto optimal solutions, where the (VOP-FP) is transformed to fuzzy nonlinear autonomous system of differential equations and the relation between the critical points of differential system and local alpha -Pareto optimal solutions of original optimization problem is proved. The second objective of the analysis presented in this paper is to obtain sensitivity information for (VOP-FP) by using the technique of trajectory continuation. (C) 2001 Elsevier Science B.V. All rights reserved. MSG: 90C27; 90C30; 90C31 and 90C70.
differential equation vector optimization problems alpha-pareto optimal solutions