A solution procedure for multi-objective fully quadratic fractional optimization model

Abstract

This paper suggests an efficient procedure to search for efficient/satisfactory solution of Multi-objective Fully Quadratic Fractional Optimization Model with fuzzy coefficients using $\alpha$-level set and FGP approach. Quadratic fractional objectives are hard to handle due to their complex structure and need to be converted into non-fractional form. Till now, Taylor’s series or parametric method is used to employ simpler objectives. But their always exist chance of error due to truncation of infinite series. Here, a new method is induced to have non-fractional fuzzy goals and in the final step, the linear weighted sum of negative deviational variables is minimized to satisfy all objective functions upto maximum possible extent. In the end, an algorithm, flowchart and numerical are also given to clarify the applicability of the suggested approach.