Multi-Objective Linear Fractional Programming Based on Trapezoidal Neutrosophic Numbers
In this paper, a multi-objective linear fractional programming (MOLFP) problem is considered where all of its coefficients in the objective function and constraints are trapezoidal neutrosophic numbers. In the present work, by presenting the neutrosophic set concept the neutrosophic multi-objective linear fractional programming (NMOLFP) model is introduced where their parameters are characterized by a trapezoidal neutrosophic number. Two ranking functions for solving this problem by converting neutrosophic numbers to crisp numbers is presented. After converting NMOLFP problem with neutrosophic numbers into the crisp MOLFP problem, then the MOLFP problem is transformed into a single objective linear programming (LP) problem using a proposal given by Nuran Guzel. The proposed approaches are simple, efficient and capable for solving NMOLFP problem. To illustrate The proposed approaches a numerical example is presented.