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.