Finding the Efficiency Status and Efficient Projection in Multiobjective Linear Fractional Programming: A Linear Programming Technique

Abstract EN

Multiobjective linear fractional programming (MOLFP) problems are the important problems with special structures in multiobjective optimization.

In the MOLFP problems, the objective functions are linear fractional functions and the constraints are linear; that is, the feasible set is a polyhedron.

In this paper, we suggest a method to identify the efficiency status of the feasible solutions of an MOLFP problem.

By the proposed method, an efficient projection on the efficient space for an inefficient solution is obtained.

The proposed problems are constructed in linear programming structures.