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The relative differentiated service model provides QoS guarantees per class in reference to guarantees given to other classes. The only assurance from the network is that higher classes receive better service treatment than lower classes. Relative service differentiation is a simple and easily deployed approach compared to the absolute differentiation service. One of the famous existing algorithms for both buffer management and scheduling in the relational differentiated service is Jobs algorithm. The Jobs can support both relative and absolute constraints. In this paper by using the capabilities of fuzzy logic systems, we modify the traditional Jobs algorithm and proposed a fuzzy based modification of existing Jobs algorithm. The proposed algorithm uses different fuzzy logic controllers to differentiate the delay of traffic classes. The proposed fuzzy system can support both relative and absolute constraints. Simulation results confirm that the proposed fuzzy system, can provide better delay differentiated than the Jobs algorithm.