Fuzzy Mathematical programming approach for solving Fuzzy Linear Fractional Programming problem

In this paper, a method is proposed to solve Fuzzy Linear Fractional Programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic Multi-Objective Linear Fractional Programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective Linear Programming (LP) problem. The proposed procedure illustrated through a numerical example.

[1]  B. Pal,et al.  A Goal Programming Method for Solving Fractional Programming Problems via Dynamic Programming , 1995 .

[2]  M. K. Luhandjula.  Fuzzy approaches for multiple objective linear fractional optimization , 1984 .

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

[4]  R. Tiwari,et al.  Effect of tolerance in fuzzy linear fractional programming , 1993 .

[5]  Ujjwal Maulik,et al.  A goal programming procedure for fuzzy multiobjective linear fractional programming problem , 2003, Fuzzy Sets Syst..

[6]  Suresh Chandra,et al.  Acceptable optimality in linear fractional programming with fuzzy coefficients , 2007, Fuzzy Optim. Decis. Mak..

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

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

[9]  Ibrahim A. Baky,et al.  Fuzzy Goal Programming Procedure to Bilevel Multiobjective Linear Fractional Programming Problems , 2010, Int. J. Math. Math. Sci..

[10]  Gabriel R. Bitran,et al.  Linear Programming with a Fractional Objective Function , 1973, Oper. Res..

[11]  H. Zimmermann.  DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS , 1975 .

[12]  Andrew V. Sills,et al.  A Rademacher Type Formula for Partitions and Overpartitions , 2010, Int. J. Math. Math. Sci..

[13]  Ibrahim A. Baky.  Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach , 2010 .