An iterative approach for fuzzy multi objective linear fractional programming problem

Abstract

In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method.