Q-Taylor method for multiobjective fractional programming problem

In this work, we have proposed a solution to Multi Objective Lineer Fractional Programming Problem (MOLFPP) by using the first-order q-Taylor expansion of these objective functions at optimal points of each fractional objective functions in feasible region. In q-calculus, q-Taylor series is a q-series expansion of a function with respect to q-derivatives. MOFPP reduces to an equivalent Multi Objective Linear Programming Problem (MOLPP). The resulting MOLPP is solved assuming that weights of these objective functions are equal and considering the sum of the these objective functions. Thus, the problem is reduced to a single objective. The proposed solution to MOFPP always yields efficient solution. Therefore, the complexity in solving MOFPP has reduced and to show the efficiency of the q-Taylor series method, we applied the method to a problem