This present thesis consists of Five chapters, the first chapter contains some basic definitions and theorems, survey of related works, the second chapter is concerned with the solution of the linear fractional programming problem with interval Coefficients in objective function by using three techniques, namely Simplex Method, modified simplex Method and Lagrange method, in the third chapter an improved algorithm is discussed for solving Complementary linear fractional programming problem with interval coefficients in Objective function by Midpoint arithmetic average. And in the Fourth chapter an improved algorithm is discussed for solving Extreme point linear fractional programming problem with interval coefficients in Objective function by Midpoint arithmetic average. Finally, the last part contains the discuss and critical remarks based on our experience of working with the algorithms implemented in this thesis.
