Affiliations: Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Correspondence:
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Corresponding author. Tarek Eljerbi, Department of Mathema-tics, Faculty of Science, Tanta University, Tanta, Egypt. E-mails: [email protected] and [email protected].
Abstract: In solving real life fractional programming problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To overcome these limitations, the fuzzy rough approach is applied to this problem. In this paper, an efficient method is proposed for solving fuzzy rough multiobjective integer linear fractional programming problem where all the variables and parameters are fuzzy rough numbers. Here, the fuzzy rough multiobjective problem transformed into an equivalent multiobjective integer linear fractional programming problem. Furthermore, from the obtained problem, five crisp multiobjective integer linear fractional programming problems are constructed and the resultant problems are solved as a crisp integer linear programming problem by using Dinkelbach concept. Finally, the effectiveness of the proposed procedure is illustrated through numerical examples.
