New Ranking Method for Solving Fuzzy Linear Fractional Programming Problems

Abstract

This presents a new ranking function method that is used as a defuzzification technique to convert any fuzzy number to a real number using mean measures such as arithmetic mean and Heronian mean for the sub-intervals that are generated according to the fuzzy numbers. This is easy to calculate and can be used for any type of fuzzy number, such as a triangular fuzzy number, a trapezoidal fuzzy number, a pentagonal fuzzy number, etc. This technique is used in fuzzy optimization programming problems when the coefficients are fuzzy numbers that are often forced by researchers when creating business and economic problems. The benefits of this technique are shown in several examples in linear fractional programming problems, and a comparison table explains its effects by comparing it with many previous methods, and it can be used for linear programming problems and quadratic programming problems.