Linear Fractional Programming Problems With Fuzzy Approach

Sometimes optimization of two linear objectives in ratio form gives better results than optimizing those separately. In various optimization problems from engineering, economics, management, optimization of ratio criteria gives more insight and better result than optimization of each criteria. In this present work, it is an attempt to study linear fractional programming (LFP) problem by single objective optimization problem in fuzzy environment where we have employed triangular fuzzy number and trapezoidal fuzzy number as a tool to study LFP in fuzzy environment. In our next approach, we mainly try to explore the ideas of multiobjective linear fractional programming (MOLFP) problem and multiobjective stochastic linear fractional programming (MOSLFP) problem with fuzzy set theoretic approach. There is ample scope for development in this field in different directions and we hope that exploration of the single objective can give new way of solutions to many optimization related problems arising in science and technology.