Solution of multi objective linear fractional programming problem by Taylor series approach

Abstract

This article proposes to handle multi objective linear fractional programming (MOLFP) problems in fuzzy environment. As a generalized mean value theorem first order Taylor series approach is used to convert multi objective linear fractional programming to multi objective linear programming problem by introducing imprecise aspiration level to each objective. Then additive weighted method has been used to get its solution. It has been observed that optimality reached for different weight values of the membership function for the different objective functions. The method has been presented by an algorithm and sensitivity analysis for the fuzzy multi objective linear fractional programming (FMOLFP) problem with respect to aspiration level and tolerance limit are also presented. The present approach is demonstrated with one numerical example.