AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM
AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM
T. Loganathan, K. Ganesan
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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 objec- tive 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 e - ciency of the proposed method.
Keywords
Keywords:Fuzzy number, fuzzy ranking, fuzzy arithmetic, fuzzy fractional program- ming(FFP), fuzzy target, fuzzy tolerance limit, Pareto optimal.