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Many reliability growth models related to the concept of multi up-gradation have recently been proposed. This concept has helped software developers to develop a competitive edge over competitors by regularly introducing their software upgrades in the market at the optimal moment. The software reliability literature offers many different release-time policies, both under crisp and fuzzy environment. This paper presents a generic model of a multi-upgraded software system. The optimal scheduling policy for software under a fuzzy environment was determined. The proposed model was examined on a real-life failure data set of four software releases. The results obtained are encouraging.