Kharazmi University International Journal of Supply and Operations Management 2383-1359 4 2 2017 05 01 On Solutions of Possibilistic Multi- objective Quadratic Programming Problems 150 157 2728 10.22034/2017.2.04 EN Hamiden Khalifa ISSR Cairo University, Giza, Egypt Journal Article 2016 12 07 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. Multi- objective quadratic programming Possibilistic variables Possibilistic efficient solution level set Possibly efficient solution Possibly optimal solution http://www.ijsom.com/article_2728_61dedbc786adb8107bbd87fae493239c.pdf