@article { author = {Khalifa, Hamiden}, title = {On Solutions of Possibilistic Multi- objective Quadratic Programming Problems}, journal = {International Journal of Supply and Operations Management}, volume = {4}, number = {2}, pages = {150-157}, year = {2017}, publisher = {Kharazmi University}, issn = {23831359}, eissn = {23832525}, doi = {10.22034/2017.2.04}, abstract = {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 level sets the Poss- MOQP problem is converted into the corresponding deterministic multi- objective quadratic programming ( MOQP) problem and hence into the single parametric quadratic programming problem using the weighting method. An extended 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 in the sake for the paper to clarify the obtained results.}, keywords = {Multi- objective quadratic programming,Possibilistic variables,Possibilistic efficient solution,level set,Possibly efficient solution,Possibly optimal solution}, url = {http://www.ijsom.com/article_2728.html}, eprint = {http://www.ijsom.com/article_2728_61dedbc786adb8107bbd87fae493239c.pdf} }