论文标题
一类矢量优化问题中有效的解决方案不当
Improperly Efficient Solutions in a Class of Vector Optimization Problems
论文作者
论文摘要
在本文中研究了线性分数矢量优化问题中的geoffrion的不当效率解决方案。我们提供两组条件，以确保给定问题的所有有效解决方案效率不当。我们还获得了必要的条件，使有效的解决方案效率不当。结果，我们为Geoffrion的适当效率提供了新的足够条件。获得的结果丰富了我们对线性分数矢量优化中适当有效解决方案的了解。
Improperly efficient solutions in the sense of Geoffrion in linear fractional vector optimization problems with unbounded constraint sets are studied in this paper. We give two sets of conditions which assure that all the efficient solutions of a given problem are improperly efficient. We also obtain necessary conditions for an efficient solution to be improperly efficient. As a result, we have new sufficient conditions for Geoffrion's proper efficiency. The obtained results enrich our knowledge on properly efficient solutions in linear fractional vector optimization.
