Quadratic Fractional Optimization through FGP Approach

K. C. Sharma, Jitendra Singh

Abstract: The purpose of this paper is to study the quadratic fractional optimization problem (QFOP) through fuzzy goal programming (FGP) methodology and propose an algorithm to find the optimal solution of it. Here; we construct two QOPs from the given QFOP such that one is of maximization and the other is of minimization subject to set of linear constraints. It is based on the FGP; which differ totally from transforming methodology. At the first stage of the methodology; we transform the QFOP into equivalent two-objectives QOP and the second stage of methodology; we transform the two objectives QOP into LPP. Finally; we give an illustrative example for the better understanding of the solution procedure.

Keywords: Quadratic Optimization, Quadratic Fractional Optimization, FGP, Pay-off Matrix, LPP and Membership Function