Mitiku, Semu (PhD)Ayeru, Amsalu2018-07-112023-11-042018-07-112023-11-042015-11http://etd.aau.edu.et/handle/123456789/7943This project presents priority based fuzzy goal programmingapproach to multi-objective quadratic programming problem. Inthe proposed approach, we construct the quadratic membershipfunctions by determining the individual best solution of theobjective functions subject to the system constraints. Thequadratic membership functions are then transformed intoequivalent linear membership functions at the individual bestsolution point by first order Taylor series approximation. Thenfuzzy goal programming approach is used for achieving highestdegree of each of the membership goals by minimizing negativedeviational variables. Then, sensitivity analysis with thevariations of the priority structure is performed to identify themost appropriate priority structure in the decision-makingcontext by using distance function. A numerical example issolved in order to show the efficiency of the proposed approach. Keywords:Goal programming, Multi-objective quadratic programming,Priority based fuzzy goal programming, QuadraticprogrammingenGoal programmingMulti-objective quadraticprogramming,Priority based fuzzy goal programmingQuadraticprogrammingThesis