Title: RANKING FUNCTION METHODS FOR SOLVING FUZZY LARGE-SCALE MULTI-OBJECTIVE INTEGER LINEAR FRACTIONAL PROGRAMMING PROBLEMS |
Author: O. M. Saad and E. Fathy |
Abstract: This paper presents a method for solving fuzzy large-scale multi-objective integer linear fractional programming problems. First, fuzzy large-scale multi-objective integer linear fractional programming problems are transformed into a crisp model, using various kinds of linear ranking functions. Then, the fractional functions are transformed into linear functions, using linearization technique. Second, the linearization model is solved to obtain an efficient solution for proposed problems. A numerical example is given to illustrate the efficiency of the proposed method. |
Keywords: Multiobjective linear programming; Integer programming; Decomposition algorithm; Fractional programming; Fuzzy set theory; Linear ranking function. |
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