Improperly Efficient Solutions in a Class of Vector Optimization Problems

2020/08/02 by Nguyễn Thị Thu Hương, Huong, N. T. T., N. D. Yen +1
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Mathematical Programming #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2008.00491

openalex publication_date 2020/08/02 · openalex created_date 2020/08/07 · openalex updated_date 2026/07/28

Abstract

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.

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