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This chapter focuses on discrete firefly optimization algorithm (FA)-based microarray data, which is a meta-heuristic, bio-inspired, optimization algorithm based on the flashing behaviour of fireflies, or lighting bugs. Its primary advantage is the global communication among the fireflies, and as a result, it seems more effective for triclustering problem. This chapter aims to render a clear description of a new firefly algorithm (FA) for optimization of tricluster applications. This research work proposes discrete firefly optimization-based triclustering model first time to find the highly correlated tricluster from microarray data. This model is reliable and robust triclustering model because of efficient global communication among the swarming particles called fireflies.