TY - JOUR
JF - IUST
JO - IJIEPR
VL - 29
IS - 4
PY - 2018
Y1 - 2018/12/01
TI - Study on multi-objective nonlinear programming in optimization of the rough interval constraints
TT -
N2 - This paper deals with multi- objective nonlinear programming problem having rough intervals in the constraints. The problem is approached by taking maximum value range and minimum value range inequalities as constraints conditions, reduces it into two classical multi-objective nonlinear programming problems, called lower and upper approximation problems. All of the lower and upper approximation problems may be solved using the weighting method, where an optimal rough interval solution is obtained. The stability set of the first kind corresponding to the optimal rough interval solution is determined. An illustrative numerical example is given to clarify the obtained results.
SP - 407
EP - 413
AU - Abdelwahed Khalifa, Hamiden
AD - ISSR- Cairo Unoversity
KW - Multi- objective nonlinear programming
KW - Rough intervals
KW - Rough efficient solution
KW - weighting problem
KW - Optimal rough interval solution
KW - Parametric studyŚ©
UR - http://ijiepr.iust.ac.ir/article-1-851-en.html
DO - 10.22068/ijiepr.29.4.407
ER -