A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming

This paper deals with developing an efficient algorithm for solving the fully fuzzy linear fractional programming problem. To this end, we construct a new method which is obtained from combination of Charnes−Cooper scheme and the multi-objective linear programming problem. Furthermore, the application of the proposed method in real life problems is presented and this method is compared with some existing methods. The numerical experiments and comparative results presented promising results to find the fuzzy optimal solution.

[1]  James J. Buckley,et al.  Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming , 2000, Fuzzy Sets Syst..

[2]  Iuliu Maniu,et al.  On Solving Fully Fuzzified Linear Fractional Programs , 2009 .

[3]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[4]  I. M. Stancu-Minasian,et al.  A method of solving fully fuzzified linear fractional programming problems , 2008 .

[5]  Ioan M. Stancu-Minasian,et al.  On a fuzzy set approach to solving multiple objective linear fractional programming problem , 2003, Fuzzy Sets Syst..

[6]  M. Duran Toksari,et al.  Taylor series approach to fuzzy multiobjective linear fractional programming , 2008, Inf. Sci..

[7]  M. Chakraborty,et al.  Fuzzy mathematical programming for multi objective linear fractional programming problem , 2002, Fuzzy Sets Syst..

[8]  Esmaile Khorram,et al.  A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem , 2015 .

[9]  R. Tiwari,et al.  Multiple objective linear fractional programming: a fuzzy set theoretic approach , 1992 .

[10]  Abraham Charnes,et al.  Programming with linear fractional functionals , 1962 .

[11]  Masatoshi Sakawa,et al.  Pareto optimality for multiobjective linear fractional programming problems with fuzzy parameters , 1992, Inf. Sci..

[12]  Bogdana Stanojević,et al.  EVALUATING FUZZY INEQUALITIES AND SOLVING FULLY FUZZIFIED LINEAR FRACTIONAL PROGRAMS , 2012 .

[13]  M. Sakawa,et al.  An interactive fuzzy satisficing method for multiobjective linear fractional programming problems , 1988 .