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مقالات فارسیISIکنفرانسهاژورنالها

Approximate proper solutions in vector optimization with variable ordering structure

محل انتشار: مجله ایرانی آنالیز عددی و بهینه سازی، دوره: 14، شماره: 28
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 38

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لینک ثابت به این مقاله:
https://civilica.com/doc/1903078

شناسه ملی سند علمی:

JR_IJNAO-14-28_005

تاریخ نمایه سازی: 16 بهمن 1402

چکیده مقاله:

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.

کلیدواژه ها:

Approximate proper solutions ، Variable ordering structure ، Scalar-ization ، Vector optimization

نویسندگان

S. Shahbeyk

Department of Mathematics, Faculty of Statistics, Mathematics, and Computer Science, Allameh Tabataba’i University , Tehran, Iran.

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