Fuzzy Optimization of Linear Fractional Function Subject to a System of Max-Arithmetic Mean Relational Inequalities

A linear fractional optimization problem subject to a system of fuzzy relational inequalities is considered. First, the problem is solved using Charnes and Cooper’s transformation. In case, decision maker is not satisfied with the optimal solution, employing linear membership functions and Bellman-Zadeh decision, a new optimal solution is found. If heshe is not satisfied with the new solution, more perturbation should be forced on the inequalities. This process is continued until obtain the desired solution of hisher.

کلیدواژه ها:

Fuzzy inequality ، Fuzzy optimization ، Fuzzy relational inequalities ، Linear fractional objective function ، Max-arithmetic mean composition