TY - JOUR
T1 - Study on multi-objective nonlinear programming in optimization of the rough interval constraints
TT -
JF - IUST
JO - IUST
VL - 29
IS - 4
UR - http://ijiepr.iust.ac.ir/article-1-851-en.html
Y1 - 2018
SP - 407
EP - 413
KW - Multi- objective nonlinear programming
KW - Rough intervals
KW - Rough efficient solution
KW - weighting problem
KW - Optimal rough interval solution
KW - Parametric studyŚ©
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.
M3 10.22068/ijiepr.29.4.407
ER -