Abstract

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 α-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 α-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.

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