Fuzzy Mathematical Programming Approach for Solving Fuzzy Rough Linear Fractional Programming Problem (original) (raw)
In this paper, a method is proposed to solve Fuzzy Rough Linear Fractional Programming (FRLFP) problem. All coefficients of the objective function and constraints are triangular fuzzy rough number. The FRLFP problem can be reduced as to the multi objective fuzzy linear fractional programming (MOFLFP) problems, where all coefficients of the objective function and constraint are triangular fuzzy number. Here, the MOFLFP 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 to single objective Linear Programming (LP) problem. The proposed procedure illustrated through a numerical example.
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