چکیده مقاله
In this study, we obtain weak Pareto optimal solutions of an unconstrained multiobjective optimization problem MOP with interval valued objective functions by applying Newton method We consider a suitable partial ordering for a pair of intervals for attaining Pareto solutions of the MOP problem We employ the generalized Hukuhara differentiability of interval valued vector functions to derive Newton method It is assumed that the objective functions of the interval valued MOP are twice continuously generalized Hukuhara differentiable Therefore, utilizing critical points of the related crisp problem, some necessary and sufficient conditions for weakly Pareto optimal solutions of an interval valued MOP are obtained
کلیدواژهها
نویسندگان
M. Ghaznavi
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
N. Hoseinpoor
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
شیوه ارجاع
Ghaznavi, M. and Hoseinpoor, N.,1396,A Newton method for multiobjective optimization problems with interval-valued objective functions,2rd International Conference on Soft Computing,Rudsar
ارائهشده در
مجموعه مقالات دومین کنفرانس ملی محاسبات نرم1 آذر 1396 · رودسر