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The objective of the paper is to model the performance measure of a simple queue system with batch arrival. The arrival and service rates both are considered to be in fuzzy parameters. The mathemarical description of the model has been presented for two and three parameters. The various queue characteristics are extracted from the fuzzy state possibility function governing behaviour of the system. αCut and zadeh extension principle has been applied to transfer the trapezoidal queue system into crisp queue measures. The batch size follows geometrical distributions. The evaluation of thresholding is applied to eliminate small membership values to avoid unnecessary computations.