RT - Journal Article
T1 - Study on multi-objective nonlinear programming in optimization of the rough interval constraints
JF - IUST
YR - 2018
JO - IUST
VO - 29
IS - 4
UR - http://ijiepr.iust.ac.ir/article-1-851-en.html
SP - 407
EP - 413
K1 - Multi- objective nonlinear programming
K1 - Rough intervals
K1 - Rough efficient solution
K1 - weighting problem
K1 - Optimal rough interval solution
K1 - Parametric studyŚ©
AB - 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.
LA eng
UL http://ijiepr.iust.ac.ir/article-1-851-en.html
M3 10.22068/ijiepr.29.4.407
ER -