TY - JOUR
ID - 2728
TI - On Solutions of Possibilistic Multi- objective Quadratic Programming Problems
JO - International Journal of Supply and Operations Management
JA - IJSOM
LA - en
SN - 23831359
AU - Khalifa, Hamiden
AD - ISSR Cairo University, Giza, Egypt
Y1 - 2017
PY - 2017
VL - 4
IS - 2
SP - 150
EP - 157
KW - Multi- objective quadratic programming
KW - Possibilistic variables
KW - Possibilistic efficient solution
KW - level set
KW - Possibly efficient solution
KW - Possibly optimal solution
DO - 10.22034/2017.2.04
N2 - 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.
UR - http://www.ijsom.com/article_2728.html
L1 - http://www.ijsom.com/article_2728_61dedbc786adb8107bbd87fae493239c.pdf
ER -