Approximate proper solutions in vector optimization with variable ordering structure
عنوان مقاله: Approximate proper solutions in vector optimization with variable ordering structure
شناسه ملی مقاله: JR_IJNAO-14-28_005
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_IJNAO-14-28_005
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
S. Shahbeyk - Department of Mathematics, Faculty of Statistics, Mathematics, and Computer Science, Allameh Tabataba’i University , Tehran, Iran.
خلاصه مقاله:
S. Shahbeyk - Department of Mathematics, Faculty of Statistics, Mathematics, and Computer Science, Allameh Tabataba’i University , Tehran, Iran.
In this paper, we study approximate proper efficient (nondominated and minimal) solutions of vector optimization problems with variable ordering structures (VOSs). In vector optimization with VOS, the partial order-ing cone depends on the elements of the image set. Approximate proper efficient/nondominated/ minimal solutions are defined in different senses (Henig, Benson, and Borwein) for problems with VOSs from new stand-points. The relationships among the introduced notions are studied, and some scalarization approaches are developed to characterize these solutions. These scalarization results based on new functionals defined by elements from the dual cones are given. Moreover, some existing results are ad-dressed.
کلمات کلیدی: Approximate proper solutions, Variable ordering structure, Scalar-ization, Vector optimization
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1903078/