Different approaches for treating multiobjective programing problems with industrial application

SUMMARYThe subject of this thesis is the different approachesfor treating multiobjective programming problems. The~lt~bjective decision making problem (MODP) appearsin the situation where it is required to maximize(minimize) more than one conflicting objective. Thecore of the (MODP) Process is to solve the vector opt-imization problems (VOP) which is done either directlyor using different scalar ization forms (SOP).One of the most appropriate forms for characterizingthe efficient solutions of (VOP) is the hybrid approach,which combines the characteristics of both the weightingand the constraints problems.The theorems which characterize the efficient solut-ions of (VOP) in terms of the hybrid approach and thosewhich relate the hybrid approach and the non-negativeweighted sum problem are introduced. Also, by usingthe hybrid approach, the characterization of basic not-ions in multicobjective nonlinear programming problems(MNLP) are introduced. These notions -are the set of feasibleparameters, the solvability set! the stability set Qf thefirst kind, and the stability set of the second kind.Using parametric convex programming,an assessmentprocedure for the scaling constants of multiattribute