Algorithm for bi-level multi-objective fully quadratic fractional optimization model with fuzzy parametersFGP for BLMOFQFOM

The presented research is concerned to obtain an efficient solution for bi-level multi-objective fully quadratic fractional optimization model (BLMOFQFOM). It is based on the idea of transforming the fractional model into non-fractional one for the initial guess of variables. Trapezoidal fuzzy numbers (TrFN) are being taken as the parameters in the fuzzy model to deal with vague and incomplete data and α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \alpha $$\end{document}-cut set is used to get a deterministic model from the fuzzy model. Concept of fuzzy goals is implemented to set aspiration level as unity for all objective functions. An attractive flowchart, algorithm and a computational problem are also illustrated to show the validity of the designed approach.