Issue: 2026/Vol.36/No.2, Pages 15-32
FINDING EFFICIENT AND PROPERLY EFFICIENT SOLUTIONS OF MOLFP PROBLEMS BASED ON LINEAR APPROACHES
Ali Reza Fakharzadeh Jahromi 
, Hassan Rostamzadeh
Cite as: A. R. F. Jahromi, H. Rostamzadeh. Finding efficient and properly efficient solutions of MOLFP problems based on linear approaches. Operations Research and Decisions 2026: 36(2), 15-32. DOI 10.37190/ord/216246
Abstract
This study focuses on solving multi-objective linear fractional programming (MOLFP) problems, which include linear fractional objective functions and a feasible polyhedron set. Based on a linearization technique, two new approaches are presented to determine efficient (Pareto) and properly efficient solutions to MOLFP problems. In the first approach, the efficiency status of an arbitrary feasible point of MOLFP is examined. If this point is not efficient, an efficient projection onto the efficient space is obtained. This method is able to find an efficient solution in just one step in a linear manner; therefore, it needs much less time and computation compared to some famous previously presented methods. Two numerical examples are given to show the applicability and advantages of the new approaches.
Keywords: multi-objective linear fractional programming, efficient solution, properly efficient solution, trade-offs
Received: 17 April 2025 Accepted: 30 December 2025
Published online: 30 December 2025