Abstract
In this paper, a modified method to find the efficient solutions of multi-objective linear fractional programming (MOLFP) problems is presented. While some of the previously proposed methods provide only one efficient solution to the MOLFP problem, this modified method provides multiple efficient solutions to the problem. As a result, it provides the decision makers flexibility to choose a better option from alternatives according to their financial position and their level of satisfaction of objectives. A numerical example is provided to illustrate the modified method and also a real life oriented production problem is modeled and solved.
Highlights
Making decisions is part of our daily lives
A modified method to find the efficient solutions of multi-objective linear fractional programming (MOLFP) problems is presented
Porchelvi et al [8] presented procedures for solving multi-objective linear fractional programming problems for both crisp and fuzzy cases using the complementary development method [9], where the fractional linear programming is transformed into linear programming problem
Summary
Making decisions is part of our daily lives. A major concern is that almost all decision problems have multiple, usually conflicting criteria. Porchelvi et al [8] presented procedures for solving multi-objective linear fractional programming problems for both crisp and fuzzy cases using the complementary development method [9], where the fractional linear programming is transformed into linear programming problem. All of these methods provide only one efficient solution of MOLFP problem. We concentrate on finding more than one (depending on the number of objectives) efficient solution of MOLFP problem by using the methods proposed by Dheyab [9] and Porchelvi et al [8]. We provide an application to show the advantage of our method
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