On Solutions of Possibilistic Multi-objective Quadratic Programming Problems

In this paper, a multi- objective quadratic programming (Poss- MOQP) problem with possibilistic variables coefficients matrix in the objective functions is studied. Through the use of β-level sets the Poss- MOQP problem is converted into the corresponding deterministic multi- objective quadratic programming (β - MOQP) problem and hence into the single parametric quadratic programming problem using the weighting method. An extended β-possibly efficient solution is specified. A necessary and sufficient condition for finding such a solution is established. A relationship between the solutions of possibilistic levels is constructed. Numerical example is given to clarify the obtained results.